%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA105^1 : TPTP v9.3.1. Released v9.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:53:27 AM UTC 2026
% Result : Unsatisfiable 22.66s 3.63s
% Output : Refutation 22.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 166
% Syntax : Number of formulae : 2381 ( 46 unt; 0 typ; 160 def)
% Number of atoms : 19735 (4109 equ; 0 cnn)
% Maximal formula atoms : 15 ( 8 avg)
% Number of connectives : 24705 (5030 ~;6800 |; 5 &;12680 @)
% ( 160 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 181 ( 176 usr; 165 con; 0-4 aty)
% ( 14 !!; 6 ??; 0 @@+; 0 @@-)
% Number of variables : 1307 ( 0 sgn1269 !; 5 ?;1307 :)
% 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_5,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_6,type,
vIMP: $o > $o > $o ).
thf(func_def_7,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_8,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_11,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_14,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_15,type,
sK0: $i > $i ).
thf(func_def_16,type,
vNOT: $o > $o ).
thf(f1,axiom,
( inj
= ( ^ [X0: $i > $i] :
! [X2: $i,X1: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inj_def) ).
thf(f2,axiom,
( ( ^ [X0: $i > $i] :
! [X1: $i] :
? [X2: $i] :
( ( X0 @ X2 )
= X1 ) )
= surj ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',surj_def) ).
thf(f3,axiom,
? [X0: $i > $i] :
( ~ ( surj @ X0 )
& ( inj @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inf) ).
thf(f4,axiom,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( r @ X0 @ X1 )
| ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb_cov) ).
thf(f5,axiom,
! [X0: $i,X2: $i,X1: $i] :
( ~ ( r @ X0 @ X1 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
thf(f6,axiom,
! [X4: $i,X2: $i,X0: $i,X1: $i,X3: $i] :
( ~ ( b @ X1 @ X2 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X2 @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
thf(f7,plain,
( inj
= ( ^ [X0: $i > $i] :
! [X1: $i,X2: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f8,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X3 @ X1 )
| ~ ( b @ X4 @ X0 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X2 @ X1 )
| ~ ( b @ X1 @ X4 ) ),
inference(rectify,[],[f6]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X4 @ X0 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ X4 )
!= $true ) ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
? [X0: $i > $i] :
( ~ ( surj @ X0 )
& ( inj @ X0 ) ),
inference(rectify,[],[f3]) ).
thf(f12,plain,
? [X0: $i > $i] :
( ( ( surj @ X0 )
!= $true )
& ( ( inj @ X0 )
= $true ) ),
inference(fool_elimination,[],[f11]) ).
thf(f13,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( r @ X0 @ X1 )
| ( b @ X0 @ X1 ) ),
inference(rectify,[],[f4]) ).
thf(f14,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(fool_elimination,[],[f13]) ).
thf(f15,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r @ X0 @ X2 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X2 @ X1 ) ),
inference(rectify,[],[f5]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ X1 ) ) ),
inference(fool_elimination,[],[f15]) ).
thf(f17,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(fool_elimination,[],[f2]) ).
thf(f18,plain,
! [X3: $i,X2: $i,X0: $i,X1: $i,X4: $i] :
( ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X4 )
!= $true )
| ( ( b @ X4 @ X0 )
!= $true ) ),
inference(flattening,[],[f10]) ).
thf(f19,plain,
? [X0: $i > $i] :
( ( ( inj @ X0 )
= $true )
& ( ( surj @ X0 )
!= $true ) ),
inference(flattening,[],[f12]) ).
thf(f20,plain,
! [X1: $i,X0: $i,X2: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(flattening,[],[f16]) ).
thf(f21,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(rectify,[],[f20]) ).
thf(f22,plain,
( ( ( inj @ sK0 )
= $true )
& ( ( surj @ sK0 )
!= $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f19]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X0 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X4 @ X2 )
!= $true ) ),
inference(rectify,[],[f18]) ).
thf(f24,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f25,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f17]) ).
thf(f26,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f27,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f28,plain,
( ( surj @ sK0 )
!= $true ),
inference(cnf_transformation,[],[f22]) ).
thf(f29,plain,
( ( inj @ sK0 )
= $true ),
inference(cnf_transformation,[],[f22]) ).
thf(f30,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X4 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f33,plain,
( ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) )
@ sK0 )
= $true ),
inference(definition_unfolding,[],[f29,f24]) ).
thf(f34,plain,
( $true
!= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f28,f25]) ).
thf(f35,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) ) ) ),
inference(beta-eta_normalization,[],[f33]) ).
thf(f36,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f35]) ).
thf(f37,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f36]) ).
thf(f38,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f37]) ).
thf(f39,plain,
! [X2: $i,X1: $i] :
( ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
=> ( X2 = X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f38]) ).
thf(f40,plain,
! [X2: $i,X1: $i] :
( ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
= $false )
| ( $true
= ( X2 = X1 ) ) ),
inference(imp_proxy_clausification,[],[f39]) ).
thf(f41,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( X2 = X1 ) )
| ( ( sK0 @ X2 )
!= ( sK0 @ X1 ) ) ),
inference(equality_proxy_clausification,[],[f40]) ).
thf(f42,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X2 )
!= ( sK0 @ X1 ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f41]) ).
thf(f43,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f34]) ).
thf(f44,plain,
( ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) )
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f43]) ).
thf(f45,plain,
( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 ) ) ),
inference(beta-eta_normalization,[],[f44]) ).
thf(f46,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 )
@ X1 )
= $false ),
inference(pi_proxy_clausification,[],[f45]) ).
thf(f47,plain,
! [X1: $i] :
( $false
= ( ( sK0 @ X1 )
= sK1 ) ),
inference(beta-eta_normalization,[],[f46]) ).
thf(f48,plain,
! [X1: $i] :
( sK1
!= ( sK0 @ X1 ) ),
inference(equality_proxy_clausification,[],[f47]) ).
thf(f49,plain,
! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f27,f48]) ).
thf(f50,plain,
! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(extensionality_resolution,[],[f27,f48]) ).
thf(f51,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f27,f42]) ).
thf(f54,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f26,f27]) ).
thf(f55,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f54]) ).
thf(f56,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( ( b @ sK1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f30,f49]) ).
thf(f57,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ sK1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f56]) ).
thf(f58,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f26,f50]) ).
thf(f59,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f58]) ).
thf(f60,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ X1 )
= X0 )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f59,f27]) ).
thf(f61,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true )
| ( ( sK0 @ X1 )
= X0 )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f60]) ).
thf(f62,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( sK0 @ X1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) ),
inference(extensionality_resolution,[],[f55,f48]) ).
thf(f64,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ X2 ) ) )
| ( X1 = X2 )
| ( ( r @ X0 @ ( sK0 @ X1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ X2 ) @ ( sK0 @ X1 ) ) ) ),
inference(extensionality_resolution,[],[f55,f42]) ).
thf(f66,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( X1 = X2 )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(constrained_superposition,[],[f55,f27]) ).
thf(f67,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X1 )
| ( ( b @ X1 @ sK1 )
= $true ) ),
inference(constrained_superposition,[],[f55,f50]) ).
thf(f68,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X1 = X2 )
| ( X0 = X1 )
| ( ( b @ X2 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f66]) ).
thf(f69,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X1 @ sK1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f67]) ).
thf(f70,plain,
! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ X1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) ),
inference(constrained_superposition,[],[f62,f27]) ).
thf(f71,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true )
| ( ( sK0 @ X1 )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f70]) ).
thf(f72,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f48]) ).
thf(f73,plain,
! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f51,f48]) ).
thf(f74,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f51,f42]) ).
thf(f76,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( X0 = X1 )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true ) ),
inference(constrained_superposition,[],[f62,f51]) ).
thf(f77,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true ) ),
inference(constrained_superposition,[],[f59,f51]) ).
thf(f80,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f77]) ).
thf(f83,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( X0 = X1 )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f76]) ).
thf(f85,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( sK1 = X1 ) ),
inference(constrained_superposition,[],[f68,f50]) ).
thf(f87,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( sK1 = X1 )
| ( ( b @ sK1 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f85]) ).
thf(f98,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ X1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(constrained_superposition,[],[f69,f51]) ).
thf(f99,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( ( b @ X1 @ sK1 )
= $true )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ X0 )
= X1 ) ),
inference(constrained_superposition,[],[f69,f27]) ).
thf(f100,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= X1 )
| ( ( b @ X1 @ sK1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f99]) ).
thf(f101,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ X1 ) )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f98]) ).
thf(f102,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( X0 = X1 ) ),
inference(forward_subsumption_resolution,[],[f101,f48]) ).
thf(f108,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f26,f72]) ).
thf(f109,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f108]) ).
thf(f117,definition,
( spl2_1
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
thf(f118,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f117]) ).
thf(f120,definition,
( spl2_2
<=> ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
thf(f121,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_2 ),
inference(avatar_component_clause,[],[f120]) ).
thf(f124,definition,
( spl2_3
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
thf(f125,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f124]) ).
thf(f128,definition,
( spl2_4
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
thf(f129,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f128]) ).
thf(f131,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_2 ),
inference(constrained_superposition,[],[f121,f50]) ).
thf(f134,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_2 ),
inference(trivial_inequality_removal,[],[f131]) ).
thf(f136,plain,
( spl2_4
| spl2_2 ),
inference(avatar_split_clause,[],[f134,f120,f128]) ).
thf(f142,definition,
( spl2_5
<=> ! [X1: $i] :
( ( b @ sK1 @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
thf(f143,plain,
( ! [X1: $i] :
( ( b @ sK1 @ X1 )
!= $true )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f142]) ).
thf(f145,definition,
( spl2_6
<=> ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
thf(f146,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f145]) ).
thf(f148,definition,
( spl2_7
<=> ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
thf(f149,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f148]) ).
thf(f152,definition,
( spl2_8
<=> ! [X2: $i,X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
thf(f153,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f152]) ).
thf(f155,definition,
( spl2_9
<=> ! [X1: $i] :
( ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
thf(f156,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f155]) ).
thf(f158,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_5 ),
inference(constrained_superposition,[],[f143,f49]) ).
thf(f161,plain,
( ! [X0: $i] :
( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f158]) ).
thf(f166,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_5 ),
inference(constrained_superposition,[],[f26,f161]) ).
thf(f167,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true
!= ( r @ X1 @ sK1 ) ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f166]) ).
thf(f183,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_5 ),
inference(constrained_superposition,[],[f167,f51]) ).
thf(f186,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f183]) ).
thf(f192,plain,
! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f109,f72]) ).
thf(f193,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_5 ),
inference(constrained_superposition,[],[f109,f161]) ).
thf(f196,plain,
! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true ) ),
inference(duplicate_literal_removal,[],[f192]) ).
thf(f197,plain,
! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f196]) ).
thf(f198,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f193]) ).
thf(f200,definition,
( spl2_12
<=> ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
thf(f201,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f200]) ).
thf(f203,definition,
( spl2_13
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
thf(f204,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_13 ),
inference(avatar_component_clause,[],[f203]) ).
thf(f205,plain,
( spl2_12
| ~ spl2_13 ),
inference(avatar_split_clause,[],[f197,f203,f200]) ).
thf(f206,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f198,f161]) ).
thf(f207,plain,
( spl2_12
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f206,f142,f200]) ).
thf(f209,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_12 ),
inference(constrained_superposition,[],[f30,f201]) ).
thf(f211,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ X3 ) ) )
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f209]) ).
thf(f255,definition,
( spl2_14
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
thf(f256,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_14 ),
inference(avatar_component_clause,[],[f255]) ).
thf(f307,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_5 ),
inference(extensionality_resolution,[],[f186,f48]) ).
thf(f313,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_5 ),
inference(constrained_superposition,[],[f307,f50]) ).
thf(f315,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_5 ),
inference(trivial_inequality_removal,[],[f313]) ).
thf(f336,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_5
| ~ spl2_12 ),
inference(constrained_superposition,[],[f211,f315]) ).
thf(f342,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_5
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f336]) ).
thf(f345,definition,
( spl2_16
<=> ! [X2: $i,X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
thf(f346,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f345]) ).
thf(f348,definition,
( spl2_17
<=> ! [X1: $i,X3: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
thf(f349,plain,
( ! [X3: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X3 ) ) )
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f348]) ).
thf(f356,definition,
( spl2_19
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).
thf(f357,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f356]) ).
thf(f359,definition,
( spl2_20
<=> ! [X2: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
thf(f360,plain,
( ! [X2: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f359]) ).
thf(f361,plain,
( spl2_19
| spl2_20
| ~ spl2_5
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f342,f200,f142,f359,f356]) ).
thf(f363,definition,
( spl2_21
<=> ! [X2: $i,X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
thf(f364,plain,
( ! [X2: $i,X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f363]) ).
thf(f366,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) ) )
| ~ spl2_8 ),
inference(constrained_superposition,[],[f153,f49]) ).
thf(f369,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f366]) ).
thf(f372,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_1
| ~ spl2_8 ),
inference(constrained_superposition,[],[f369,f118]) ).
thf(f376,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_1
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f372]) ).
thf(f379,definition,
( spl2_22
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).
thf(f380,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f379]) ).
thf(f381,plain,
( spl2_22
| spl2_6
| ~ spl2_1
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f376,f152,f117,f145,f379]) ).
thf(f387,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_4
| ~ spl2_8 ),
inference(constrained_superposition,[],[f369,f129]) ).
thf(f392,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f387]) ).
thf(f393,plain,
( spl2_6
| ~ spl2_4
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f392,f152,f128,f145]) ).
thf(f397,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f55,f146]) ).
thf(f398,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f26,f146]) ).
thf(f399,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f398]) ).
thf(f402,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f397]) ).
thf(f404,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f399,f27]) ).
thf(f405,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f399,f51]) ).
thf(f407,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f404]) ).
thf(f408,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f405]) ).
thf(f410,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f402,f27]) ).
thf(f411,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f410]) ).
thf(f412,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f407,f27]) ).
thf(f413,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f407,f50]) ).
thf(f414,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f412]) ).
thf(f415,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f413]) ).
thf(f423,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f30,f411]) ).
thf(f427,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f423]) ).
thf(f429,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( sK1 = X0 ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f427,f153]) ).
thf(f431,definition,
( spl2_23
<=> ! [X2: $i,X0: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_23])],[avatar_definition]) ).
thf(f432,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_23 ),
inference(avatar_component_clause,[],[f431]) ).
thf(f433,plain,
( spl2_17
| spl2_23
| ~ spl2_6
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f429,f152,f145,f431,f348]) ).
thf(f434,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f30,f414]) ).
thf(f435,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(constrained_superposition,[],[f369,f414]) ).
thf(f438,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f434]) ).
thf(f439,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f435]) ).
thf(f441,definition,
( spl2_24
<=> ! [X2: $i,X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_24])],[avatar_definition]) ).
thf(f442,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl2_24 ),
inference(avatar_component_clause,[],[f441]) ).
thf(f443,plain,
( spl2_24
| spl2_17
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f438,f145,f348,f441]) ).
thf(f444,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ X0 )
= sK1 ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f439,f369]) ).
thf(f445,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f444,f48]) ).
thf(f449,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(constrained_superposition,[],[f402,f445]) ).
thf(f457,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(duplicate_literal_removal,[],[f449]) ).
thf(f458,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f457]) ).
thf(f496,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( sK1 = X1 )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_6
| ~ spl2_8
| ~ spl2_23 ),
inference(constrained_superposition,[],[f432,f458]) ).
thf(f498,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( sK1 = X1 ) )
| ~ spl2_6
| ~ spl2_8
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f496]) ).
thf(f535,plain,
( ( $true != $true )
| ~ spl2_4
| ~ spl2_20 ),
inference(constrained_superposition,[],[f360,f129]) ).
thf(f542,plain,
( $false
| ~ spl2_4
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f535]) ).
thf(f543,plain,
( ~ spl2_4
| ~ spl2_20 ),
inference(avatar_contradiction_clause,[],[f542]) ).
thf(f554,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f408,f50]) ).
thf(f556,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f554]) ).
thf(f561,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(constrained_superposition,[],[f369,f556]) ).
thf(f564,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f30,f556]) ).
thf(f568,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f564]) ).
thf(f570,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f561]) ).
thf(f572,definition,
( spl2_29
<=> ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_29])],[avatar_definition]) ).
thf(f573,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_29 ),
inference(avatar_component_clause,[],[f572]) ).
thf(f574,plain,
( spl2_17
| spl2_29
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f568,f145,f572,f348]) ).
thf(f575,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f570,f369]) ).
thf(f579,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
= sK1 )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(constrained_superposition,[],[f109,f575]) ).
thf(f582,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= X1 )
| ( ( r @ sK1 @ X1 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(constrained_superposition,[],[f55,f575]) ).
thf(f590,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ sK1 @ X1 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ X0 )
= X1 ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f582]) ).
thf(f591,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f579]) ).
thf(f592,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ X0 )
= sK1 ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f591,f146]) ).
thf(f593,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_6
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f592,f48]) ).
thf(f594,plain,
( spl2_12
| ~ spl2_6
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f593,f152,f145,f200]) ).
thf(f598,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) ) )
| ~ spl2_12 ),
inference(constrained_superposition,[],[f30,f201]) ).
thf(f599,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f598]) ).
thf(f614,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_6
| ~ spl2_12 ),
inference(constrained_superposition,[],[f599,f556]) ).
thf(f623,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( sK0 @ X0 )
= sK1 ) )
| ~ spl2_6
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f614]) ).
thf(f624,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_6
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f623,f48]) ).
thf(f625,plain,
( spl2_20
| spl2_19
| ~ spl2_6
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f624,f200,f145,f356,f359]) ).
thf(f626,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f357,f49]) ).
thf(f632,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f626]) ).
thf(f669,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( sK1 = X1 )
| ( ( sK0 @ X0 )
= ( sK0 @ X1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(constrained_superposition,[],[f590,f575]) ).
thf(f677,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( ( sK0 @ X0 )
= ( sK0 @ X1 ) ) )
| ~ spl2_6
| ~ spl2_8 ),
inference(trivial_inequality_removal,[],[f669]) ).
thf(f705,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= sK1 )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ X1 ) )
| ( $true != $true )
| ( sK1 = X1 )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= ( sK0 @ X1 ) ) )
| ~ spl2_6
| ~ spl2_8
| ~ spl2_23 ),
inference(constrained_superposition,[],[f498,f677]) ).
thf(f720,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ X1 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ X1 ) )
| ( ( sK0 @ X0 )
= sK1 )
| ( sK1 = X1 )
| ( sK1 = X0 )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_8
| ~ spl2_23 ),
inference(trivial_inequality_removal,[],[f705]) ).
thf(f728,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( sK0 @ X0 )
= ( sK0 @ X1 ) )
| ( sK1 = X1 )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_8
| ~ spl2_23 ),
inference(forward_subsumption_resolution,[],[f720,f42]) ).
thf(f732,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ X1 ) )
| ( sK1 = X1 )
| ( sK1 = X0 )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_8
| ~ spl2_23 ),
inference(forward_subsumption_resolution,[],[f728,f48]) ).
thf(f734,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ X1 ) )
| ( sK1 = X0 )
| ( sK1 = X1 ) )
| ~ spl2_6
| ~ spl2_8
| ~ spl2_23 ),
inference(forward_subsumption_resolution,[],[f732,f42]) ).
thf(f739,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
!= ( sK0 @ X2 ) )
| ( sK1 = X1 )
| ( sK1 = X0 )
| ( X1 = X2 ) )
| ~ spl2_6
| ~ spl2_8
| ~ spl2_23 ),
inference(constrained_superposition,[],[f42,f734]) ).
thf(f908,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( sK1 = X1 )
| ( X0 = X1 ) )
| ~ spl2_6
| ~ spl2_8
| ~ spl2_23 ),
inference(equality_resolution,[],[f739]) ).
thf(f914,definition,
( spl2_30
<=> ! [X2: $i,X3: $i] :
( ( X2 = X3 )
| ( sK1 = X3 )
| ( sK1 = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_30])],[avatar_definition]) ).
thf(f915,plain,
( ! [X2: $i,X3: $i] :
( ( sK1 = X3 )
| ( X2 = X3 )
| ( sK1 = X2 ) )
| ~ spl2_30 ),
inference(avatar_component_clause,[],[f914]) ).
thf(f917,definition,
( spl2_31
<=> ! [X0: $i] : ( sK1 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl2_31])],[avatar_definition]) ).
thf(f918,plain,
( ! [X0: $i] : ( sK1 = X0 )
| ~ spl2_31 ),
inference(avatar_component_clause,[],[f917]) ).
thf(f921,plain,
( spl2_30
| ~ spl2_6
| ~ spl2_8
| ~ spl2_23 ),
inference(avatar_split_clause,[],[f908,f431,f152,f145,f914]) ).
thf(f955,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 != sK1 )
| ( sK1 = X1 )
| ( ( sK0 @ X0 )
= X1 ) )
| ~ spl2_30 ),
inference(constrained_superposition,[],[f48,f915]) ).
thf(f1034,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= X1 )
| ( sK1 = X1 ) )
| ~ spl2_30 ),
inference(trivial_inequality_removal,[],[f955]) ).
thf(f1047,definition,
( spl2_33
<=> ! [X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_33])],[avatar_definition]) ).
thf(f1048,plain,
( ! [X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 ) )
| ~ spl2_33 ),
inference(avatar_component_clause,[],[f1047]) ).
thf(f1069,definition,
( spl2_38
<=> ! [X2: $i,X1: $i] :
( ( ( sK0 @ X1 )
= X2 )
| ( sK1 = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_38])],[avatar_definition]) ).
thf(f1070,plain,
( ! [X2: $i,X1: $i] :
( ( ( sK0 @ X1 )
= X2 )
| ( sK1 = X2 ) )
| ~ spl2_38 ),
inference(avatar_component_clause,[],[f1069]) ).
thf(f1093,plain,
( spl2_38
| ~ spl2_30 ),
inference(avatar_split_clause,[],[f1034,f914,f1069]) ).
thf(f1096,definition,
( spl2_41
<=> ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_41])],[avatar_definition]) ).
thf(f1097,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_41 ),
inference(avatar_component_clause,[],[f1096]) ).
thf(f1111,definition,
( spl2_43
<=> ! [X2: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_43])],[avatar_definition]) ).
thf(f1112,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_43 ),
inference(avatar_component_clause,[],[f1111]) ).
thf(f1115,definition,
( spl2_44
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_44])],[avatar_definition]) ).
thf(f1116,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ~ spl2_44 ),
inference(avatar_component_clause,[],[f1115]) ).
thf(f1132,definition,
( spl2_48
<=> ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_48])],[avatar_definition]) ).
thf(f1133,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_48 ),
inference(avatar_component_clause,[],[f1132]) ).
thf(f1162,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_4
| ~ spl2_17 ),
inference(constrained_superposition,[],[f349,f129]) ).
thf(f1164,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl2_12
| ~ spl2_17 ),
inference(constrained_superposition,[],[f349,f201]) ).
thf(f1170,plain,
( ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true )
| ~ spl2_4
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f1162]) ).
thf(f1171,plain,
( ! [X0: $i,X1: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ~ spl2_12
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f1164]) ).
thf(f1174,plain,
( spl2_5
| ~ spl2_4
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f1170,f348,f128,f142]) ).
thf(f1175,plain,
( spl2_21
| ~ spl2_12
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f1171,f348,f200,f363]) ).
thf(f1198,definition,
( spl2_53
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_53])],[avatar_definition]) ).
thf(f1199,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_53 ),
inference(avatar_component_clause,[],[f1198]) ).
thf(f1203,definition,
( spl2_54
<=> ! [X0: $i] :
( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_54])],[avatar_definition]) ).
thf(f1204,plain,
( ! [X0: $i] :
( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_54 ),
inference(avatar_component_clause,[],[f1203]) ).
thf(f1407,plain,
( ! [X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ X1 ) )
| ( ( sK0 @ X0 )
!= ( sK0 @ sK1 ) )
| ( X0 = X1 ) )
| ~ spl2_33 ),
inference(constrained_superposition,[],[f42,f1048]) ).
thf(f1455,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
!= ( sK0 @ sK1 ) )
| ( X0 = X1 ) )
| ~ spl2_33 ),
inference(forward_subsumption_resolution,[],[f1407,f48]) ).
thf(f1476,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f255]) ).
thf(f1535,plain,
( ( sK1 != sK1 )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f48,f918]) ).
thf(f1598,plain,
( $false
| ~ spl2_31 ),
inference(trivial_inequality_removal,[],[f1535]) ).
thf(f1599,plain,
~ spl2_31,
inference(avatar_contradiction_clause,[],[f1598]) ).
thf(f1928,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( X0 != X0 )
| ( sK1 = X0 ) )
| ~ spl2_33 ),
inference(constrained_superposition,[],[f1455,f1048]) ).
thf(f1935,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( sK1 = X1 ) )
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f1928]) ).
thf(f1938,plain,
( spl2_31
| spl2_31
| ~ spl2_33 ),
inference(avatar_split_clause,[],[f1935,f1047,f917,f917]) ).
thf(f1955,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
!= ( sK0 @ X1 ) )
| ( ( sK0 @ X0 )
= X1 ) )
| ~ spl2_54 ),
inference(constrained_superposition,[],[f42,f1204]) ).
thf(f2044,plain,
( ! [X0: $i] :
( ( sK0 @ X0 )
= sK1 )
| ~ spl2_54 ),
inference(equality_resolution,[],[f1955]) ).
thf(f2046,plain,
( $false
| ~ spl2_54 ),
inference(forward_subsumption_resolution,[],[f2044,f48]) ).
thf(f2047,plain,
~ spl2_54,
inference(avatar_contradiction_clause,[],[f2046]) ).
thf(f2049,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_6
| ~ spl2_8
| ~ spl2_21 ),
inference(constrained_superposition,[],[f364,f458]) ).
thf(f2055,plain,
( ! [X0: $i] :
( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_6
| ~ spl2_8
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f2049]) ).
thf(f2063,plain,
( spl2_54
| ~ spl2_6
| ~ spl2_8
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f2055,f363,f152,f145,f1203]) ).
thf(f2080,definition,
( spl2_59
<=> ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_59])],[avatar_definition]) ).
thf(f2081,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl2_59 ),
inference(avatar_component_clause,[],[f2080]) ).
thf(f2082,plain,
( spl2_17
| spl2_59
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f427,f145,f2080,f348]) ).
thf(f2087,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_4
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f632,f129]) ).
thf(f2204,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( X1 = X2 )
| ( ( sK0 @ X2 )
!= X0 )
| ( sK1 = X0 ) )
| ~ spl2_38 ),
inference(constrained_superposition,[],[f42,f1070]) ).
thf(f2322,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( X1 = X2 ) )
| ~ spl2_38 ),
inference(forward_subsumption_resolution,[],[f2204,f1070]) ).
thf(f2335,definition,
( spl2_69
<=> ! [X2: $i,X1: $i] : ( X1 = X2 ) ),
introduced(definition,[new_symbols(definition,[spl2_69])],[avatar_definition]) ).
thf(f2336,plain,
( ! [X2: $i,X1: $i] : ( X1 = X2 )
| ~ spl2_69 ),
inference(avatar_component_clause,[],[f2335]) ).
thf(f2347,plain,
( spl2_69
| spl2_31
| ~ spl2_38 ),
inference(avatar_split_clause,[],[f2322,f1069,f917,f2335]) ).
thf(f2734,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_4
| ~ spl2_19 ),
inference(constrained_superposition,[],[f109,f2087]) ).
thf(f2745,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_4
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f2734]) ).
thf(f2750,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_4
| ~ spl2_6
| ~ spl2_19 ),
inference(forward_subsumption_resolution,[],[f2745,f146]) ).
thf(f2751,plain,
( spl2_1
| ~ spl2_4
| ~ spl2_6
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f2750,f356,f145,f128,f117]) ).
thf(f2764,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f30,f415]) ).
thf(f2767,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f2764]) ).
thf(f2770,definition,
( spl2_82
<=> ! [X2: $i,X0: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_82])],[avatar_definition]) ).
thf(f2771,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_82 ),
inference(avatar_component_clause,[],[f2770]) ).
thf(f2772,plain,
( spl2_17
| spl2_82
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f2767,f145,f2770,f348]) ).
thf(f2805,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f399,f73]) ).
thf(f2807,plain,
! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) ),
inference(constrained_superposition,[],[f59,f73]) ).
thf(f2811,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f26,f73]) ).
thf(f2812,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f2811]) ).
thf(f2813,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f2805]) ).
thf(f2818,plain,
! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f2807]) ).
thf(f2820,definition,
( spl2_84
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_84])],[avatar_definition]) ).
thf(f2821,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_84 ),
inference(avatar_component_clause,[],[f2820]) ).
thf(f2891,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ sK1 )
= $true ) )
| ~ spl2_6
| ~ spl2_24 ),
inference(constrained_superposition,[],[f442,f414]) ).
thf(f2895,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( b @ X1 @ sK1 )
= $true )
| ( $true != $true )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_6
| ~ spl2_24 ),
inference(constrained_superposition,[],[f442,f556]) ).
thf(f2898,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_6
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f2891]) ).
thf(f2901,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( ( b @ X1 @ sK1 )
= $true ) )
| ~ spl2_6
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f2895]) ).
thf(f2905,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( sK0 @ X1 )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true )
| ( $true != $true )
| ( sK1 = X0 ) ),
inference(constrained_superposition,[],[f61,f27]) ).
thf(f2907,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ X1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f2905]) ).
thf(f2909,plain,
! [X0: $i,X1: $i] :
( ( ( sK0 @ X1 )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true ) ),
inference(constrained_superposition,[],[f71,f27]) ).
thf(f2910,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ X0 )
= ( sK0 @ X1 ) ) ),
inference(constrained_superposition,[],[f71,f50]) ).
thf(f2911,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f2910]) ).
thf(f2912,plain,
! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true )
| ( ( sK0 @ X1 )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f2909]) ).
thf(f3574,plain,
( ! [X0: $i] : ( sK1 != X0 )
| ~ spl2_69 ),
inference(constrained_superposition,[],[f48,f2336]) ).
thf(f3830,plain,
( $false
| ~ spl2_69 ),
inference(forward_subsumption_resolution,[],[f3574,f2336]) ).
thf(f3831,plain,
~ spl2_69,
inference(avatar_contradiction_clause,[],[f3830]) ).
thf(f3869,plain,
( spl2_84
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f2813,f145,f2820]) ).
thf(f3907,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_9
| ~ spl2_14 ),
inference(constrained_superposition,[],[f156,f1476]) ).
thf(f3912,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_9
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f3907]) ).
thf(f3917,plain,
( $false
| ~ spl2_4
| ~ spl2_9
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f3912,f129]) ).
thf(f3918,plain,
( ~ spl2_4
| ~ spl2_9
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f3917]) ).
thf(f4646,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_84 ),
inference(constrained_superposition,[],[f2821,f50]) ).
thf(f4649,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f4646]) ).
thf(f4654,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ X1 ) @ ( sK0 @ X2 ) ) )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
!= ( r @ X0 @ ( sK0 @ X2 ) ) )
| ( X1 = X2 ) ),
inference(constrained_superposition,[],[f64,f27]) ).
thf(f4658,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f64,f146]) ).
thf(f4661,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f4658]) ).
thf(f4663,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ X2 ) ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ ( sK0 @ X2 ) ) )
| ( ( sK0 @ X1 )
= X0 )
| ( X1 = X2 )
| ( ( b @ X0 @ ( sK0 @ X1 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f4654]) ).
thf(f4664,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f4661,f27]) ).
thf(f4665,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ X0 )
= sK1 )
| ( sK1 = X0 ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f4664]) ).
thf(f4679,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( X0 = X1 ) ),
inference(constrained_superposition,[],[f83,f50]) ).
thf(f4682,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ X1 ) )
= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f4679]) ).
thf(f4684,plain,
! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f102,f48]) ).
thf(f4726,plain,
! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f4682,f48]) ).
thf(f5211,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_6 ),
inference(forward_subsumption_resolution,[],[f4665,f48]) ).
thf(f5302,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
!= $true ) )
| ~ spl2_6
| ~ spl2_9 ),
inference(constrained_superposition,[],[f156,f5211]) ).
thf(f5312,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_6
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f5302]) ).
thf(f5318,definition,
( spl2_110
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_110])],[avatar_definition]) ).
thf(f5319,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_110 ),
inference(avatar_component_clause,[],[f5318]) ).
thf(f5322,plain,
( spl2_110
| ~ spl2_6
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f5312,f155,f145,f5318]) ).
thf(f5978,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f74,f48]) ).
thf(f5979,plain,
! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f74,f48]) ).
thf(f6386,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f4663,f146]) ).
thf(f6392,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ X0 )
= sK1 ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f6386]) ).
thf(f6398,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_6 ),
inference(forward_subsumption_resolution,[],[f6392,f48]) ).
thf(f6402,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X1 )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_6
| ~ spl2_24 ),
inference(constrained_superposition,[],[f442,f6398]) ).
thf(f6415,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true != $true ) )
| ~ spl2_6 ),
inference(constrained_superposition,[],[f30,f6398]) ).
thf(f6425,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( sK1 = X0 )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f6415]) ).
thf(f6429,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X1 )
| ( ( b @ X1 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_6
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f6402]) ).
thf(f6434,definition,
( spl2_117
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_117])],[avatar_definition]) ).
thf(f6435,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_117 ),
inference(avatar_component_clause,[],[f6434]) ).
thf(f6436,plain,
( spl2_117
| spl2_17
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f6425,f145,f348,f6434]) ).
thf(f6697,plain,
! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f109,f5978]) ).
thf(f6703,plain,
! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) ),
inference(constrained_superposition,[],[f69,f5978]) ).
thf(f6706,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f26,f5978]) ).
thf(f6707,plain,
! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
inference(trivial_inequality_removal,[],[f6703]) ).
thf(f6708,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f6706]) ).
thf(f6710,plain,
! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f6697]) ).
thf(f6719,definition,
( spl2_118
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_118])],[avatar_definition]) ).
thf(f6720,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_118 ),
inference(avatar_component_clause,[],[f6719]) ).
thf(f6722,definition,
( spl2_119
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_119])],[avatar_definition]) ).
thf(f6723,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| spl2_119 ),
inference(avatar_component_clause,[],[f6722]) ).
thf(f6724,plain,
( spl2_118
| ~ spl2_119 ),
inference(avatar_split_clause,[],[f6710,f6722,f6719]) ).
thf(f6730,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_119 ),
inference(constrained_superposition,[],[f6723,f51]) ).
thf(f6732,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_119 ),
inference(trivial_inequality_removal,[],[f6730]) ).
thf(f6735,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_119 ),
inference(forward_subsumption_resolution,[],[f6732,f48]) ).
thf(f6737,definition,
( spl2_121
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_121])],[avatar_definition]) ).
thf(f6738,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_121 ),
inference(avatar_component_clause,[],[f6737]) ).
thf(f6740,definition,
( spl2_122
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_122])],[avatar_definition]) ).
thf(f6741,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_122 ),
inference(avatar_component_clause,[],[f6740]) ).
thf(f6743,plain,
( spl2_121
| spl2_119 ),
inference(avatar_split_clause,[],[f6735,f6722,f6737]) ).
thf(f6786,definition,
( spl2_123
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_123])],[avatar_definition]) ).
thf(f6787,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_123 ),
inference(avatar_component_clause,[],[f6786]) ).
thf(f6797,plain,
! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f6708,f72]) ).
thf(f6799,plain,
! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(constrained_superposition,[],[f6708,f5978]) ).
thf(f6805,plain,
! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(duplicate_literal_removal,[],[f6799]) ).
thf(f6806,plain,
! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f6805]) ).
thf(f6809,plain,
! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f6797]) ).
thf(f6811,definition,
( spl2_124
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_124])],[avatar_definition]) ).
thf(f6812,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ~ spl2_124 ),
inference(avatar_component_clause,[],[f6811]) ).
thf(f6814,definition,
( spl2_125
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_125])],[avatar_definition]) ).
thf(f6815,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_125 ),
inference(avatar_component_clause,[],[f6814]) ).
thf(f6816,plain,
( spl2_124
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f6806,f6814,f6811]) ).
thf(f6818,definition,
( spl2_126
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_126])],[avatar_definition]) ).
thf(f6819,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_126 ),
inference(avatar_component_clause,[],[f6818]) ).
thf(f6820,plain,
( spl2_118
| ~ spl2_126 ),
inference(avatar_split_clause,[],[f6809,f6818,f6719]) ).
thf(f6889,definition,
( spl2_127
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_127])],[avatar_definition]) ).
thf(f6890,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ~ spl2_127 ),
inference(avatar_component_clause,[],[f6889]) ).
thf(f6892,definition,
( spl2_128
<=> ! [X1: $i] :
( ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_128])],[avatar_definition]) ).
thf(f6893,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_128 ),
inference(avatar_component_clause,[],[f6892]) ).
thf(f6899,definition,
( spl2_129
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_129])],[avatar_definition]) ).
thf(f6900,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_129 ),
inference(avatar_component_clause,[],[f6899]) ).
thf(f6902,definition,
( spl2_130
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_130])],[avatar_definition]) ).
thf(f6903,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_130 ),
inference(avatar_component_clause,[],[f6902]) ).
thf(f6919,plain,
! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
inference(forward_subsumption_resolution,[],[f6707,f48]) ).
thf(f6928,definition,
( spl2_133
<=> ! [X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_133])],[avatar_definition]) ).
thf(f6929,plain,
( ! [X1: $i] :
( ( ( b @ sK1 @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X1 ) )
| ~ spl2_133 ),
inference(avatar_component_clause,[],[f6928]) ).
thf(f6936,definition,
( spl2_135
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_135])],[avatar_definition]) ).
thf(f6937,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_135 ),
inference(avatar_component_clause,[],[f6936]) ).
thf(f6943,definition,
( spl2_137
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_137])],[avatar_definition]) ).
thf(f6944,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_137 ),
inference(avatar_component_clause,[],[f6943]) ).
thf(f6958,plain,
( spl2_135
| spl2_129 ),
inference(avatar_split_clause,[],[f6919,f6899,f6936]) ).
thf(f6972,definition,
( spl2_141
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_141])],[avatar_definition]) ).
thf(f6973,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_141 ),
inference(avatar_component_clause,[],[f6972]) ).
thf(f6977,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_141 ),
inference(avatar_component_clause,[],[f6972]) ).
thf(f6983,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_130 ),
inference(constrained_superposition,[],[f6903,f50]) ).
thf(f6985,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_130 ),
inference(trivial_inequality_removal,[],[f6983]) ).
thf(f6987,plain,
( spl2_135
| spl2_130 ),
inference(avatar_split_clause,[],[f6985,f6902,f6936]) ).
thf(f7024,definition,
( spl2_143
<=> ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_143])],[avatar_definition]) ).
thf(f7025,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_143 ),
inference(avatar_component_clause,[],[f7024]) ).
thf(f7067,definition,
( spl2_145
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_145])],[avatar_definition]) ).
thf(f7068,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_145 ),
inference(avatar_component_clause,[],[f7067]) ).
thf(f7070,definition,
( spl2_146
<=> ! [X2: $i,X0: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_146])],[avatar_definition]) ).
thf(f7071,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl2_146 ),
inference(avatar_component_clause,[],[f7070]) ).
thf(f7114,definition,
( spl2_148
<=> ! [X1: $i] :
( ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_148])],[avatar_definition]) ).
thf(f7115,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_148 ),
inference(avatar_component_clause,[],[f7114]) ).
thf(f7119,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_84 ),
inference(constrained_superposition,[],[f149,f4649]) ).
thf(f7133,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_84 ),
inference(constrained_superposition,[],[f30,f4649]) ).
thf(f7140,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_7
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f7119]) ).
thf(f7152,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f7133]) ).
thf(f7228,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) )
| ~ spl2_118
| ~ spl2_148 ),
inference(constrained_superposition,[],[f7115,f6720]) ).
thf(f7267,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_118
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f7228]) ).
thf(f7269,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ~ spl2_9
| ~ spl2_118
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f7267,f156]) ).
thf(f7271,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_7
| ~ spl2_84 ),
inference(constrained_superposition,[],[f7140,f49]) ).
thf(f7292,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_7
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f7271]) ).
thf(f7943,definition,
( spl2_160
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_160])],[avatar_definition]) ).
thf(f7944,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_160 ),
inference(avatar_component_clause,[],[f7943]) ).
thf(f8044,plain,
( spl2_127
| ~ spl2_9
| ~ spl2_118
| ~ spl2_148 ),
inference(avatar_split_clause,[],[f7269,f7114,f6719,f155,f6889]) ).
thf(f8528,plain,
( spl2_17
| spl2_16
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f7152,f2820,f345,f348]) ).
thf(f8734,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_121 ),
inference(avatar_component_clause,[],[f6737]) ).
thf(f8740,definition,
( spl2_170
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_170])],[avatar_definition]) ).
thf(f8741,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_170 ),
inference(avatar_component_clause,[],[f8740]) ).
thf(f8743,definition,
( spl2_171
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_171])],[avatar_definition]) ).
thf(f8744,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_171 ),
inference(avatar_component_clause,[],[f8743]) ).
thf(f8751,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_84
| spl2_121 ),
inference(constrained_superposition,[],[f8734,f4649]) ).
thf(f8754,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ~ spl2_6
| spl2_121 ),
inference(constrained_superposition,[],[f8734,f556]) ).
thf(f8766,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_84
| spl2_121 ),
inference(trivial_inequality_removal,[],[f8751]) ).
thf(f8768,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_6
| spl2_121 ),
inference(trivial_inequality_removal,[],[f8754]) ).
thf(f8910,definition,
( spl2_173
<=> ! [X2: $i,X0: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_173])],[avatar_definition]) ).
thf(f8911,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X2 @ sK1 )
!= $true ) )
| ~ spl2_173 ),
inference(avatar_component_clause,[],[f8910]) ).
thf(f9230,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_7
| ~ spl2_84 ),
inference(constrained_superposition,[],[f109,f7292]) ).
thf(f9231,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_7
| ~ spl2_84 ),
inference(constrained_superposition,[],[f6708,f7292]) ).
thf(f9257,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_7
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f9230]) ).
thf(f9259,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_7
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f9231]) ).
thf(f9262,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_6
| ~ spl2_7
| ~ spl2_84 ),
inference(forward_subsumption_resolution,[],[f9257,f146]) ).
thf(f9263,plain,
( spl2_1
| ~ spl2_6
| ~ spl2_7
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f9262,f2820,f148,f145,f117]) ).
thf(f9660,plain,
( ~ spl2_137
| spl2_129
| ~ spl2_7
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f9259,f2820,f148,f6899,f6943]) ).
thf(f9676,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_6
| spl2_121 ),
inference(forward_subsumption_resolution,[],[f8768,f48]) ).
thf(f9678,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_135 ),
inference(avatar_component_clause,[],[f6936]) ).
thf(f9686,plain,
( spl2_135
| ~ spl2_84
| spl2_121 ),
inference(avatar_split_clause,[],[f8766,f6737,f2820,f6936]) ).
thf(f9720,plain,
( spl2_135
| ~ spl2_6
| spl2_121 ),
inference(avatar_split_clause,[],[f9676,f6737,f145,f6936]) ).
thf(f9748,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_135 ),
inference(constrained_superposition,[],[f9678,f2907]) ).
thf(f9754,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_135 ),
inference(trivial_inequality_removal,[],[f9748]) ).
thf(f9760,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_141 ),
inference(constrained_superposition,[],[f6973,f49]) ).
thf(f9772,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_141 ),
inference(trivial_inequality_removal,[],[f9760]) ).
thf(f9783,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_6
| spl2_141 ),
inference(constrained_superposition,[],[f4661,f9772]) ).
thf(f9790,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_6
| spl2_141 ),
inference(constrained_superposition,[],[f402,f9772]) ).
thf(f9792,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ X0 ) ) )
| spl2_141 ),
inference(constrained_superposition,[],[f55,f9772]) ).
thf(f9793,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| spl2_141 ),
inference(constrained_superposition,[],[f26,f9772]) ).
thf(f9794,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ X0 ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| spl2_141 ),
inference(trivial_inequality_removal,[],[f9792]) ).
thf(f9797,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| spl2_141 ),
inference(trivial_inequality_removal,[],[f9790]) ).
thf(f9798,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| spl2_141 ),
inference(trivial_inequality_removal,[],[f9793]) ).
thf(f9800,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_6
| spl2_141 ),
inference(trivial_inequality_removal,[],[f9783]) ).
thf(f9808,plain,
( spl2_122
| spl2_121
| ~ spl2_6
| spl2_141 ),
inference(avatar_split_clause,[],[f9797,f6972,f145,f6737,f6740]) ).
thf(f9809,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_6
| spl2_141 ),
inference(forward_subsumption_resolution,[],[f9800,f48]) ).
thf(f9813,plain,
( spl2_170
| ~ spl2_6
| spl2_141 ),
inference(avatar_split_clause,[],[f9809,f6972,f145,f8740]) ).
thf(f9815,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_7
| ~ spl2_121 ),
inference(constrained_superposition,[],[f149,f6738]) ).
thf(f9837,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_7
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f9815]) ).
thf(f9861,definition,
( spl2_183
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_183])],[avatar_definition]) ).
thf(f9862,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_183 ),
inference(avatar_component_clause,[],[f9861]) ).
thf(f9865,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_121
| ~ spl2_146 ),
inference(constrained_superposition,[],[f7071,f6738]) ).
thf(f9886,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ~ spl2_121
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f9865]) ).
thf(f9902,plain,
( spl2_20
| ~ spl2_121
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f9886,f7070,f6737,f359]) ).
thf(f9905,definition,
( spl2_184
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X1 )
| ( ( b @ X1 @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_184])],[avatar_definition]) ).
thf(f9906,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X1 )
| ( ( b @ X1 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_184 ),
inference(avatar_component_clause,[],[f9905]) ).
thf(f9917,definition,
( spl2_185
<=> ! [X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_185])],[avatar_definition]) ).
thf(f9918,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( sK1 = X1 ) )
| ~ spl2_185 ),
inference(avatar_component_clause,[],[f9917]) ).
thf(f9931,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_141 ),
inference(constrained_superposition,[],[f9798,f27]) ).
thf(f9932,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true ) )
| spl2_141 ),
inference(constrained_superposition,[],[f9798,f51]) ).
thf(f9934,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| spl2_141 ),
inference(constrained_superposition,[],[f9798,f74]) ).
thf(f9939,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1 = X0 ) )
| spl2_141 ),
inference(trivial_inequality_removal,[],[f9934]) ).
thf(f9943,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_141 ),
inference(trivial_inequality_removal,[],[f9932]) ).
thf(f9946,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ sK1 )
!= $true )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| spl2_141 ),
inference(trivial_inequality_removal,[],[f9931]) ).
thf(f9954,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f6787,f4682]) ).
thf(f9967,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f9954]) ).
thf(f9983,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_7
| ~ spl2_123 ),
inference(forward_subsumption_resolution,[],[f9967,f149]) ).
thf(f9990,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_7
| ~ spl2_123
| spl2_135 ),
inference(forward_subsumption_resolution,[],[f9983,f9678]) ).
thf(f10006,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_7
| ~ spl2_84
| ~ spl2_123
| spl2_135 ),
inference(constrained_superposition,[],[f9990,f4649]) ).
thf(f10012,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_7
| ~ spl2_84
| ~ spl2_123
| spl2_135 ),
inference(trivial_inequality_removal,[],[f10006]) ).
thf(f10041,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_183 ),
inference(constrained_superposition,[],[f9862,f100]) ).
thf(f10046,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f10041]) ).
thf(f10062,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f10046,f48]) ).
thf(f10072,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true ) )
| spl2_135
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f10062,f9678]) ).
thf(f10080,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_9
| spl2_135
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f10072,f156]) ).
thf(f10269,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ X2 @ sK1 )
!= $true ) )
| ~ spl2_7
| ~ spl2_84
| ~ spl2_123
| spl2_135 ),
inference(constrained_superposition,[],[f30,f10012]) ).
thf(f10271,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_7
| ~ spl2_84
| ~ spl2_123
| spl2_135 ),
inference(trivial_inequality_removal,[],[f10269]) ).
thf(f10279,definition,
( spl2_186
<=> ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ sK1 )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_186])],[avatar_definition]) ).
thf(f10280,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ X2 @ sK1 )
!= $true ) )
| ~ spl2_186 ),
inference(avatar_component_clause,[],[f10279]) ).
thf(f10281,plain,
( spl2_186
| spl2_8
| ~ spl2_7
| ~ spl2_84
| ~ spl2_123
| spl2_135 ),
inference(avatar_split_clause,[],[f10271,f6936,f6786,f2820,f148,f152,f10279]) ).
thf(f10473,definition,
( spl2_188
<=> ! [X2: $i,X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_188])],[avatar_definition]) ).
thf(f10474,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ sK1 )
!= $true ) )
| ~ spl2_188 ),
inference(avatar_component_clause,[],[f10473]) ).
thf(f10591,definition,
( spl2_189
<=> ! [X2: $i,X0: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_189])],[avatar_definition]) ).
thf(f10592,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_189 ),
inference(avatar_component_clause,[],[f10591]) ).
thf(f10744,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true != $true ) )
| spl2_141 ),
inference(constrained_superposition,[],[f9794,f27]) ).
thf(f10749,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_141 ),
inference(trivial_inequality_removal,[],[f10744]) ).
thf(f10750,plain,
( spl2_185
| spl2_141 ),
inference(avatar_split_clause,[],[f10749,f6972,f9917]) ).
thf(f10751,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true ) )
| spl2_141 ),
inference(constrained_superposition,[],[f9946,f27]) ).
thf(f10753,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_141 ),
inference(trivial_inequality_removal,[],[f10751]) ).
thf(f10755,plain,
( spl2_184
| spl2_141 ),
inference(avatar_split_clause,[],[f10753,f6972,f9905]) ).
thf(f10765,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f30,f118]) ).
thf(f10771,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f10765]) ).
thf(f10777,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) ) )
| ~ spl2_1
| ~ spl2_84 ),
inference(constrained_superposition,[],[f10771,f4649]) ).
thf(f10780,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= sK1 )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_1
| ~ spl2_6 ),
inference(constrained_superposition,[],[f10771,f556]) ).
thf(f10789,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true != $true )
| ( ( sK0 @ X0 )
= sK1 ) )
| ~ spl2_1
| ~ spl2_6 ),
inference(duplicate_literal_removal,[],[f10780]) ).
thf(f10790,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_1
| ~ spl2_6 ),
inference(trivial_inequality_removal,[],[f10789]) ).
thf(f10805,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_1
| ~ spl2_84 ),
inference(duplicate_literal_removal,[],[f10777]) ).
thf(f10806,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) ) )
| ~ spl2_1
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f10805]) ).
thf(f10811,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_1
| ~ spl2_6 ),
inference(forward_subsumption_resolution,[],[f10790,f48]) ).
thf(f10814,plain,
( spl2_20
| spl2_19
| ~ spl2_1
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f10806,f2820,f117,f356,f359]) ).
thf(f10818,plain,
( spl2_19
| spl2_20
| ~ spl2_1
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f10811,f145,f117,f359,f356]) ).
thf(f10972,plain,
( spl2_184
| spl2_135 ),
inference(avatar_split_clause,[],[f9754,f6936,f9905]) ).
thf(f11036,definition,
( spl2_191
<=> ! [X4: $i,X0: $i,X2: $i] :
( ( sK1 = X4 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( sK0 @ X0 )
= X4 )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ X4 ) @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_191])],[avatar_definition]) ).
thf(f11037,plain,
( ! [X2: $i,X0: $i,X4: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( sK1 = X4 )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ X4 ) @ sK1 ) )
| ( ( sK0 @ X0 )
= X4 ) )
| ~ spl2_191 ),
inference(avatar_component_clause,[],[f11036]) ).
thf(f11056,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_29
| ~ spl2_184 ),
inference(constrained_superposition,[],[f573,f9906]) ).
thf(f11064,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_16
| ~ spl2_184 ),
inference(constrained_superposition,[],[f346,f9906]) ).
thf(f11094,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_16
| ~ spl2_184 ),
inference(duplicate_literal_removal,[],[f11064]) ).
thf(f11095,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_16
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f11094]) ).
thf(f11103,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ X0 )
= sK1 )
| ( $true != $true ) )
| ~ spl2_29
| ~ spl2_184 ),
inference(duplicate_literal_removal,[],[f11056]) ).
thf(f11104,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ X0 )
= sK1 )
| ( sK1 = X0 )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f11103]) ).
thf(f11108,definition,
( spl2_192
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_192])],[avatar_definition]) ).
thf(f11109,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| ~ spl2_192 ),
inference(avatar_component_clause,[],[f11108]) ).
thf(f11261,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_19
| ~ spl2_185 ),
inference(constrained_superposition,[],[f357,f9918]) ).
thf(f11282,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_185
| ~ spl2_188 ),
inference(constrained_superposition,[],[f10474,f9918]) ).
thf(f11283,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_185
| ~ spl2_186 ),
inference(constrained_superposition,[],[f10280,f9918]) ).
thf(f11301,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_19
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f11261]) ).
thf(f11309,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_185
| ~ spl2_186 ),
inference(trivial_inequality_removal,[],[f11283]) ).
thf(f11321,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_185
| ~ spl2_188 ),
inference(duplicate_literal_removal,[],[f11282]) ).
thf(f11322,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_185
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f11321]) ).
thf(f11503,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_141 ),
inference(constrained_superposition,[],[f9943,f50]) ).
thf(f11506,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_141 ),
inference(trivial_inequality_removal,[],[f11503]) ).
thf(f11631,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) ) )
| spl2_141 ),
inference(constrained_superposition,[],[f30,f11506]) ).
thf(f11660,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| spl2_141 ),
inference(trivial_inequality_removal,[],[f11631]) ).
thf(f11673,definition,
( spl2_195
<=> ! [X2: $i,X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_195])],[avatar_definition]) ).
thf(f11674,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_195 ),
inference(avatar_component_clause,[],[f11673]) ).
thf(f11675,plain,
( spl2_195
| spl2_146
| spl2_141 ),
inference(avatar_split_clause,[],[f11660,f6972,f7070,f11673]) ).
thf(f12052,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| spl2_141 ),
inference(constrained_superposition,[],[f9939,f50]) ).
thf(f12054,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| spl2_141 ),
inference(trivial_inequality_removal,[],[f12052]) ).
thf(f12100,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 ) )
| ~ spl2_6
| ~ spl2_24
| spl2_141 ),
inference(constrained_superposition,[],[f6429,f12054]) ).
thf(f12108,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_16
| spl2_141 ),
inference(constrained_superposition,[],[f346,f12054]) ).
thf(f12136,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_16
| spl2_141 ),
inference(duplicate_literal_removal,[],[f12108]) ).
thf(f12137,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_16
| spl2_141 ),
inference(trivial_inequality_removal,[],[f12136]) ).
thf(f12150,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_6
| ~ spl2_24
| spl2_141 ),
inference(duplicate_literal_removal,[],[f12100]) ).
thf(f12151,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 ) )
| ~ spl2_6
| ~ spl2_24
| spl2_141 ),
inference(trivial_inequality_removal,[],[f12150]) ).
thf(f12167,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_16
| ~ spl2_121
| spl2_141 ),
inference(forward_subsumption_resolution,[],[f12137,f6738]) ).
thf(f12172,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_24
| spl2_141 ),
inference(forward_subsumption_resolution,[],[f12151,f6973]) ).
thf(f12184,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_6
| ~ spl2_24
| spl2_141 ),
inference(forward_subsumption_resolution,[],[f12172,f48]) ).
thf(f12193,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_24
| spl2_141 ),
inference(forward_subsumption_resolution,[],[f12184,f48]) ).
thf(f12200,definition,
( spl2_200
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_200])],[avatar_definition]) ).
thf(f12201,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_200 ),
inference(avatar_component_clause,[],[f12200]) ).
thf(f12204,plain,
( spl2_200
| ~ spl2_6
| ~ spl2_24
| spl2_141 ),
inference(avatar_split_clause,[],[f12193,f6972,f441,f145,f12200]) ).
thf(f12225,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ sK1 )
!= $true ) )
| ~ spl2_16
| ~ spl2_121
| spl2_141 ),
inference(constrained_superposition,[],[f30,f12167]) ).
thf(f12234,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) ) )
| ~ spl2_16
| ~ spl2_121
| spl2_141 ),
inference(trivial_inequality_removal,[],[f12225]) ).
thf(f12243,definition,
( spl2_201
<=> ! [X2: $i,X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_201])],[avatar_definition]) ).
thf(f12244,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X2 @ sK1 )
!= $true ) )
| ~ spl2_201 ),
inference(avatar_component_clause,[],[f12243]) ).
thf(f12245,plain,
( spl2_8
| spl2_201
| ~ spl2_16
| ~ spl2_121
| spl2_141 ),
inference(avatar_split_clause,[],[f12234,f6972,f6737,f345,f12243,f152]) ).
thf(f12614,definition,
( spl2_216
<=> ! [X1: $i] :
( ( sK1 = X1 )
| ( ( b @ X1 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_216])],[avatar_definition]) ).
thf(f12615,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ sK1 )
= $true )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_216 ),
inference(avatar_component_clause,[],[f12614]) ).
thf(f13300,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_123
| ~ spl2_129 ),
inference(constrained_superposition,[],[f6787,f6900]) ).
thf(f13304,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= sK1 ) )
| ~ spl2_29
| ~ spl2_129 ),
inference(constrained_superposition,[],[f573,f6900]) ).
thf(f13321,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= sK1 ) )
| ~ spl2_29
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f13304]) ).
thf(f13336,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_123
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f13300]) ).
thf(f13341,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29
| ~ spl2_129
| spl2_135 ),
inference(forward_subsumption_resolution,[],[f13321,f9678]) ).
thf(f13350,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ~ spl2_84
| ~ spl2_123
| ~ spl2_129 ),
inference(forward_subsumption_resolution,[],[f13336,f4649]) ).
thf(f13354,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) )
| ~ spl2_29
| ~ spl2_129
| spl2_135 ),
inference(forward_subsumption_resolution,[],[f13341,f48]) ).
thf(f13364,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ~ spl2_29
| ~ spl2_84
| ~ spl2_129
| spl2_135 ),
inference(forward_subsumption_resolution,[],[f13354,f4649]) ).
thf(f13374,definition,
( spl2_223
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_223])],[avatar_definition]) ).
thf(f13375,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ~ spl2_223 ),
inference(avatar_component_clause,[],[f13374]) ).
thf(f13377,plain,
( spl2_223
| ~ spl2_29
| ~ spl2_84
| ~ spl2_129
| spl2_135 ),
inference(avatar_split_clause,[],[f13364,f6936,f6899,f2820,f572,f13374]) ).
thf(f13405,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_122
| spl2_135 ),
inference(constrained_superposition,[],[f9678,f6741]) ).
thf(f13584,plain,
( $false
| ~ spl2_4
| ~ spl2_122
| spl2_135 ),
inference(forward_subsumption_resolution,[],[f13405,f129]) ).
thf(f13585,plain,
( ~ spl2_4
| ~ spl2_122
| spl2_135 ),
inference(avatar_contradiction_clause,[],[f13584]) ).
thf(f13606,definition,
( spl2_226
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_226])],[avatar_definition]) ).
thf(f13607,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_226 ),
inference(avatar_component_clause,[],[f13606]) ).
thf(f13625,plain,
( spl2_223
| ~ spl2_84
| ~ spl2_123
| ~ spl2_129 ),
inference(avatar_split_clause,[],[f13350,f6899,f6786,f2820,f13374]) ).
thf(f13692,definition,
( spl2_228
<=> ! [X2: $i,X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_228])],[avatar_definition]) ).
thf(f13693,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true ) )
| ~ spl2_228 ),
inference(avatar_component_clause,[],[f13692]) ).
thf(f14443,plain,
( ( ( sK0 @ sK1 )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_122 ),
inference(avatar_component_clause,[],[f6740]) ).
thf(f14631,definition,
( spl2_240
<=> ! [X0: $i] :
( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_240])],[avatar_definition]) ).
thf(f14632,plain,
( ! [X0: $i] :
( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_240 ),
inference(avatar_component_clause,[],[f14631]) ).
thf(f14650,definition,
( spl2_243
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_243])],[avatar_definition]) ).
thf(f14651,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_243 ),
inference(avatar_component_clause,[],[f14650]) ).
thf(f14656,definition,
( spl2_245
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_245])],[avatar_definition]) ).
thf(f14657,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_245 ),
inference(avatar_component_clause,[],[f14656]) ).
thf(f14660,definition,
( spl2_246
<=> ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_246])],[avatar_definition]) ).
thf(f14661,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_246 ),
inference(avatar_component_clause,[],[f14660]) ).
thf(f14706,definition,
( spl2_248
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_248])],[avatar_definition]) ).
thf(f14707,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_248 ),
inference(avatar_component_clause,[],[f14706]) ).
thf(f14710,definition,
( spl2_249
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_249])],[avatar_definition]) ).
thf(f14711,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_249 ),
inference(avatar_component_clause,[],[f14710]) ).
thf(f14713,definition,
( spl2_250
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_250])],[avatar_definition]) ).
thf(f14714,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_250 ),
inference(avatar_component_clause,[],[f14713]) ).
thf(f14717,definition,
( spl2_251
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_251])],[avatar_definition]) ).
thf(f14718,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_251 ),
inference(avatar_component_clause,[],[f14717]) ).
thf(f14722,definition,
( spl2_252
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_252])],[avatar_definition]) ).
thf(f14723,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_252 ),
inference(avatar_component_clause,[],[f14722]) ).
thf(f14725,definition,
( spl2_253
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_253])],[avatar_definition]) ).
thf(f14726,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_253 ),
inference(avatar_component_clause,[],[f14725]) ).
thf(f14742,definition,
( spl2_255
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_255])],[avatar_definition]) ).
thf(f14743,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_255 ),
inference(avatar_component_clause,[],[f14742]) ).
thf(f15227,definition,
( spl2_258
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_258])],[avatar_definition]) ).
thf(f15228,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_258 ),
inference(avatar_component_clause,[],[f15227]) ).
thf(f15232,definition,
( spl2_259
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_259])],[avatar_definition]) ).
thf(f15233,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_259 ),
inference(avatar_component_clause,[],[f15232]) ).
thf(f15237,definition,
( spl2_260
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_260])],[avatar_definition]) ).
thf(f15238,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_260 ),
inference(avatar_component_clause,[],[f15237]) ).
thf(f15246,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_259 ),
inference(avatar_component_clause,[],[f15232]) ).
thf(f15256,definition,
( spl2_263
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_263])],[avatar_definition]) ).
thf(f15257,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| spl2_263 ),
inference(avatar_component_clause,[],[f15256]) ).
thf(f15259,definition,
( spl2_264
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_264])],[avatar_definition]) ).
thf(f15260,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_264 ),
inference(avatar_component_clause,[],[f15259]) ).
thf(f15268,definition,
( spl2_266
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_266])],[avatar_definition]) ).
thf(f15269,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_266 ),
inference(avatar_component_clause,[],[f15268]) ).
thf(f15277,definition,
( spl2_267
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_267])],[avatar_definition]) ).
thf(f15278,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_267 ),
inference(avatar_component_clause,[],[f15277]) ).
thf(f15327,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_255
| spl2_258 ),
inference(constrained_superposition,[],[f15228,f14743]) ).
thf(f15340,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_255 ),
inference(constrained_superposition,[],[f72,f14743]) ).
thf(f15349,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_255 ),
inference(constrained_superposition,[],[f2812,f14743]) ).
thf(f15430,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_6
| ~ spl2_255 ),
inference(constrained_superposition,[],[f4661,f14743]) ).
thf(f15517,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_255 ),
inference(duplicate_literal_removal,[],[f15349]) ).
thf(f15532,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| spl2_14
| ~ spl2_255 ),
inference(forward_subsumption_resolution,[],[f15517,f256]) ).
thf(f15534,plain,
( $false
| ~ spl2_6
| ~ spl2_255
| spl2_258 ),
inference(forward_subsumption_resolution,[],[f15327,f146]) ).
thf(f15535,plain,
( ~ spl2_6
| ~ spl2_255
| spl2_258 ),
inference(avatar_contradiction_clause,[],[f15534]) ).
thf(f15538,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_6
| ~ spl2_255 ),
inference(forward_subsumption_resolution,[],[f15430,f48]) ).
thf(f15547,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_14
| ~ spl2_255 ),
inference(forward_subsumption_resolution,[],[f15340,f256]) ).
thf(f15558,plain,
( spl2_48
| spl2_14
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f15532,f14742,f255,f1132]) ).
thf(f15562,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_6
| ~ spl2_255 ),
inference(forward_subsumption_resolution,[],[f15538,f146]) ).
thf(f15568,plain,
( $false
| spl2_13
| spl2_14
| ~ spl2_255 ),
inference(forward_subsumption_resolution,[],[f15547,f204]) ).
thf(f15569,plain,
( spl2_13
| spl2_14
| ~ spl2_255 ),
inference(avatar_contradiction_clause,[],[f15568]) ).
thf(f15573,plain,
( $false
| ~ spl2_6
| spl2_14
| ~ spl2_255 ),
inference(forward_subsumption_resolution,[],[f15562,f256]) ).
thf(f15574,plain,
( ~ spl2_6
| spl2_14
| ~ spl2_255 ),
inference(avatar_contradiction_clause,[],[f15573]) ).
thf(f15591,definition,
( spl2_270
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_270])],[avatar_definition]) ).
thf(f15592,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_270 ),
inference(avatar_component_clause,[],[f15591]) ).
thf(f15626,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_9
| spl2_135
| ~ spl2_183
| ~ spl2_259 ),
inference(constrained_superposition,[],[f10080,f15246]) ).
thf(f15635,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_9
| ~ spl2_259 ),
inference(constrained_superposition,[],[f156,f15246]) ).
thf(f15648,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_9
| ~ spl2_259 ),
inference(trivial_inequality_removal,[],[f15635]) ).
thf(f15654,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_9
| spl2_135
| ~ spl2_183
| ~ spl2_259 ),
inference(trivial_inequality_removal,[],[f15626]) ).
thf(f15662,plain,
( $false
| ~ spl2_9
| ~ spl2_223
| ~ spl2_259 ),
inference(forward_subsumption_resolution,[],[f15648,f13375]) ).
thf(f15663,plain,
( ~ spl2_9
| ~ spl2_223
| ~ spl2_259 ),
inference(avatar_contradiction_clause,[],[f15662]) ).
thf(f15667,plain,
( spl2_267
| ~ spl2_9
| spl2_135
| ~ spl2_183
| ~ spl2_259 ),
inference(avatar_split_clause,[],[f15654,f15232,f9861,f6936,f155,f15277]) ).
thf(f15693,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_84
| spl2_260 ),
inference(constrained_superposition,[],[f15238,f4649]) ).
thf(f15696,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_6
| spl2_260 ),
inference(constrained_superposition,[],[f15238,f556]) ).
thf(f15713,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_6
| spl2_260 ),
inference(trivial_inequality_removal,[],[f15696]) ).
thf(f15714,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_84
| spl2_260 ),
inference(trivial_inequality_removal,[],[f15693]) ).
thf(f15770,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_19
| ~ spl2_243 ),
inference(constrained_superposition,[],[f357,f14651]) ).
thf(f15774,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_6
| ~ spl2_24
| ~ spl2_243 ),
inference(constrained_superposition,[],[f2901,f14651]) ).
thf(f15782,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_186
| ~ spl2_243 ),
inference(constrained_superposition,[],[f10280,f14651]) ).
thf(f15805,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_6
| ~ spl2_24
| ~ spl2_243 ),
inference(trivial_inequality_removal,[],[f15774]) ).
thf(f15826,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_19
| ~ spl2_243 ),
inference(trivial_inequality_removal,[],[f15770]) ).
thf(f15830,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_186
| ~ spl2_243 ),
inference(trivial_inequality_removal,[],[f15782]) ).
thf(f15833,definition,
( spl2_272
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_272])],[avatar_definition]) ).
thf(f15834,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_272 ),
inference(avatar_component_clause,[],[f15833]) ).
thf(f15860,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_1
| ~ spl2_246 ),
inference(constrained_superposition,[],[f14661,f118]) ).
thf(f15894,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_1
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f15860]) ).
thf(f15914,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_249 ),
inference(constrained_superposition,[],[f109,f14711]) ).
thf(f15930,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_249 ),
inference(trivial_inequality_removal,[],[f15914]) ).
thf(f15936,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_249
| spl2_259 ),
inference(forward_subsumption_resolution,[],[f15930,f15233]) ).
thf(f15941,definition,
( spl2_273
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_273])],[avatar_definition]) ).
thf(f15942,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_273 ),
inference(avatar_component_clause,[],[f15941]) ).
thf(f15946,definition,
( spl2_274
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_274])],[avatar_definition]) ).
thf(f15947,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_274 ),
inference(avatar_component_clause,[],[f15946]) ).
thf(f15953,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_249
| spl2_259 ),
inference(constrained_superposition,[],[f15936,f51]) ).
thf(f15955,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_249
| spl2_259 ),
inference(trivial_inequality_removal,[],[f15953]) ).
thf(f15958,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_249
| spl2_259 ),
inference(forward_subsumption_resolution,[],[f15955,f48]) ).
thf(f15962,definition,
( spl2_275
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_275])],[avatar_definition]) ).
thf(f15963,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_275 ),
inference(avatar_component_clause,[],[f15962]) ).
thf(f15965,plain,
( spl2_275
| ~ spl2_249
| spl2_259 ),
inference(avatar_split_clause,[],[f15958,f15232,f14710,f15962]) ).
thf(f15967,definition,
( spl2_276
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_276])],[avatar_definition]) ).
thf(f15968,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_276 ),
inference(avatar_component_clause,[],[f15967]) ).
thf(f15978,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_7
| ~ spl2_123
| spl2_135
| ~ spl2_275 ),
inference(constrained_superposition,[],[f9990,f15963]) ).
thf(f16000,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_173
| ~ spl2_275 ),
inference(constrained_superposition,[],[f8911,f15963]) ).
thf(f16017,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_173
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f16000]) ).
thf(f16024,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_7
| ~ spl2_123
| spl2_135
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f15978]) ).
thf(f16041,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_4
| ~ spl2_173
| ~ spl2_275 ),
inference(forward_subsumption_resolution,[],[f16017,f129]) ).
thf(f16048,plain,
( spl2_255
| ~ spl2_7
| ~ spl2_123
| spl2_135
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f16024,f15962,f6936,f6786,f148,f14742]) ).
thf(f16061,plain,
( spl2_255
| spl2_270
| ~ spl2_4
| ~ spl2_173
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f16041,f15962,f8910,f128,f15591,f14742]) ).
thf(f16063,definition,
( spl2_278
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_278])],[avatar_definition]) ).
thf(f16064,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_278 ),
inference(avatar_component_clause,[],[f16063]) ).
thf(f16079,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_273 ),
inference(constrained_superposition,[],[f15942,f74]) ).
thf(f16083,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_273 ),
inference(trivial_inequality_removal,[],[f16079]) ).
thf(f16087,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_273 ),
inference(forward_subsumption_resolution,[],[f16083,f48]) ).
thf(f16091,plain,
( spl2_264
| spl2_273 ),
inference(avatar_split_clause,[],[f16087,f15941,f15259]) ).
thf(f16117,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_186
| ~ spl2_250 ),
inference(constrained_superposition,[],[f10280,f14714]) ).
thf(f16125,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_173
| ~ spl2_250 ),
inference(constrained_superposition,[],[f8911,f14714]) ).
thf(f16128,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_189
| ~ spl2_250 ),
inference(constrained_superposition,[],[f10592,f14714]) ).
thf(f16150,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_186
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f16117]) ).
thf(f16158,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_189
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f16128]) ).
thf(f16161,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_173
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f16125]) ).
thf(f16184,definition,
( spl2_279
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_279])],[avatar_definition]) ).
thf(f16185,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_279 ),
inference(avatar_component_clause,[],[f16184]) ).
thf(f16188,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_186
| ~ spl2_223
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f16150,f13375]) ).
thf(f16193,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_189
| ~ spl2_223
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f16158,f13375]) ).
thf(f16195,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_173
| ~ spl2_223
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f16161,f13375]) ).
thf(f16212,plain,
( spl2_255
| ~ spl2_186
| ~ spl2_223
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f16188,f14713,f13374,f10279,f14742]) ).
thf(f16214,definition,
( spl2_280
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_280])],[avatar_definition]) ).
thf(f16220,plain,
( spl2_270
| spl2_278
| ~ spl2_189
| ~ spl2_223
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f16193,f14713,f13374,f10591,f16063,f15591]) ).
thf(f16222,plain,
( spl2_255
| spl2_270
| ~ spl2_173
| ~ spl2_223
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f16195,f14713,f13374,f8910,f15591,f14742]) ).
thf(f16248,definition,
( spl2_281
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_281])],[avatar_definition]) ).
thf(f16249,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_281 ),
inference(avatar_component_clause,[],[f16248]) ).
thf(f16255,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_137 ),
inference(avatar_component_clause,[],[f6943]) ).
thf(f16273,plain,
( ~ spl2_141
| ~ spl2_7
| ~ spl2_121 ),
inference(avatar_split_clause,[],[f9837,f6737,f148,f6972]) ).
thf(f16285,definition,
( spl2_284
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_284])],[avatar_definition]) ).
thf(f16286,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_284 ),
inference(avatar_component_clause,[],[f16285]) ).
thf(f16288,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_185
| ~ spl2_188 ),
inference(forward_subsumption_resolution,[],[f11322,f48]) ).
thf(f16311,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_281 ),
inference(avatar_component_clause,[],[f16248]) ).
thf(f16315,plain,
( spl2_284
| ~ spl2_84
| spl2_260 ),
inference(avatar_split_clause,[],[f15714,f15237,f2820,f16285]) ).
thf(f16342,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_122
| ~ spl2_186
| ~ spl2_243 ),
inference(forward_subsumption_resolution,[],[f15830,f14443]) ).
thf(f16345,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_6
| ~ spl2_24
| ~ spl2_243 ),
inference(forward_subsumption_resolution,[],[f15805,f48]) ).
thf(f16353,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 ) )
| ~ spl2_185
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f11309,f42]) ).
thf(f16356,plain,
( ~ spl2_259
| spl2_135
| ~ spl2_19
| ~ spl2_243 ),
inference(avatar_split_clause,[],[f15826,f14650,f356,f6936,f15232]) ).
thf(f16359,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_6
| spl2_260 ),
inference(forward_subsumption_resolution,[],[f15713,f48]) ).
thf(f16366,definition,
( spl2_287
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_287])],[avatar_definition]) ).
thf(f16367,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_287 ),
inference(avatar_component_clause,[],[f16366]) ).
thf(f16368,plain,
( spl2_287
| spl2_135
| ~ spl2_19
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f11301,f9917,f356,f6936,f16366]) ).
thf(f16387,definition,
( spl2_290
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_290])],[avatar_definition]) ).
thf(f16388,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_290 ),
inference(avatar_component_clause,[],[f16387]) ).
thf(f16399,definition,
( spl2_292
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_292])],[avatar_definition]) ).
thf(f16400,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_292 ),
inference(avatar_component_clause,[],[f16399]) ).
thf(f16401,plain,
( spl2_292
| ~ spl2_135
| ~ spl2_185
| ~ spl2_188 ),
inference(avatar_split_clause,[],[f16288,f10473,f9917,f6936,f16399]) ).
thf(f16443,definition,
( spl2_297
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_297])],[avatar_definition]) ).
thf(f16444,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_297 ),
inference(avatar_component_clause,[],[f16443]) ).
thf(f16455,plain,
( ~ spl2_135
| spl2_122
| ~ spl2_186
| ~ spl2_243 ),
inference(avatar_split_clause,[],[f16342,f14650,f10279,f6740,f6936]) ).
thf(f16457,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_6
| ~ spl2_24
| ~ spl2_243 ),
inference(forward_subsumption_resolution,[],[f16345,f48]) ).
thf(f16462,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_185
| ~ spl2_186 ),
inference(forward_subsumption_resolution,[],[f16353,f48]) ).
thf(f16469,plain,
( spl2_284
| ~ spl2_6
| spl2_260 ),
inference(avatar_split_clause,[],[f16359,f15237,f145,f16285]) ).
thf(f16498,plain,
( spl2_135
| spl2_284
| spl2_255
| ~ spl2_6
| ~ spl2_24
| ~ spl2_243 ),
inference(avatar_split_clause,[],[f16457,f14650,f441,f145,f14742,f16285,f6936]) ).
thf(f16500,definition,
( spl2_301
<=> ! [X0: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_301])],[avatar_definition]) ).
thf(f16501,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_301 ),
inference(avatar_component_clause,[],[f16500]) ).
thf(f16502,plain,
( spl2_301
| ~ spl2_135
| ~ spl2_185
| ~ spl2_186 ),
inference(avatar_split_clause,[],[f16462,f10279,f9917,f6936,f16500]) ).
thf(f16527,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_5
| ~ spl2_143 ),
inference(constrained_superposition,[],[f143,f7025]) ).
thf(f16533,plain,
( ( $true != $true )
| ~ spl2_5
| ~ spl2_41 ),
inference(constrained_superposition,[],[f143,f1097]) ).
thf(f16545,plain,
( $false
| ~ spl2_5
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f16533]) ).
thf(f16546,plain,
( ~ spl2_5
| ~ spl2_41 ),
inference(avatar_contradiction_clause,[],[f16545]) ).
thf(f16547,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_5
| ~ spl2_143 ),
inference(trivial_inequality_removal,[],[f16527]) ).
thf(f16558,plain,
( spl2_33
| ~ spl2_5
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f16547,f7024,f142,f1047]) ).
thf(f16567,plain,
( ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_141 ),
inference(constrained_superposition,[],[f6973,f49]) ).
thf(f16586,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_141 ),
inference(trivial_inequality_removal,[],[f16567]) ).
thf(f16594,plain,
( spl2_137
| spl2_141 ),
inference(avatar_split_clause,[],[f16586,f6972,f6943]) ).
thf(f16601,definition,
( spl2_305
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_305])],[avatar_definition]) ).
thf(f16602,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_305 ),
inference(avatar_component_clause,[],[f16601]) ).
thf(f16606,definition,
( spl2_306
<=> ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_306])],[avatar_definition]) ).
thf(f16607,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_306 ),
inference(avatar_component_clause,[],[f16606]) ).
thf(f16618,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_41 ),
inference(avatar_component_clause,[],[f1096]) ).
thf(f16624,definition,
( spl2_308
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_308])],[avatar_definition]) ).
thf(f16625,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_308 ),
inference(avatar_component_clause,[],[f16624]) ).
thf(f16647,definition,
( spl2_309
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_309])],[avatar_definition]) ).
thf(f16648,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_309 ),
inference(avatar_component_clause,[],[f16647]) ).
thf(f16659,plain,
( ~ spl2_41
| spl2_284
| ~ spl2_1
| ~ spl2_246 ),
inference(avatar_split_clause,[],[f15894,f14660,f117,f16285,f1096]) ).
thf(f16691,definition,
( spl2_312
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_312])],[avatar_definition]) ).
thf(f16692,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_312 ),
inference(avatar_component_clause,[],[f16691]) ).
thf(f16710,definition,
( spl2_314
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_314])],[avatar_definition]) ).
thf(f16711,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_314 ),
inference(avatar_component_clause,[],[f16710]) ).
thf(f16727,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_41 ),
inference(constrained_superposition,[],[f16618,f49]) ).
thf(f16732,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_41 ),
inference(trivial_inequality_removal,[],[f16727]) ).
thf(f16733,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_19
| ~ spl2_141 ),
inference(constrained_superposition,[],[f357,f6977]) ).
thf(f16737,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_19
| ~ spl2_141 ),
inference(trivial_inequality_removal,[],[f16733]) ).
thf(f16741,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_4
| ~ spl2_19
| ~ spl2_141 ),
inference(forward_subsumption_resolution,[],[f16737,f129]) ).
thf(f16743,plain,
( spl2_135
| ~ spl2_4
| ~ spl2_19
| ~ spl2_141 ),
inference(avatar_split_clause,[],[f16741,f6972,f356,f128,f6936]) ).
thf(f16745,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_137 ),
inference(constrained_superposition,[],[f109,f16255]) ).
thf(f16755,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_137 ),
inference(trivial_inequality_removal,[],[f16745]) ).
thf(f16766,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_6
| ~ spl2_137 ),
inference(forward_subsumption_resolution,[],[f16755,f146]) ).
thf(f16769,plain,
( spl2_170
| ~ spl2_6
| ~ spl2_137 ),
inference(avatar_split_clause,[],[f16766,f6943,f145,f8740]) ).
thf(f16799,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_263
| ~ spl2_267 ),
inference(constrained_superposition,[],[f15257,f15278]) ).
thf(f16879,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_173
| ~ spl2_267 ),
inference(constrained_superposition,[],[f8911,f15278]) ).
thf(f16889,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ sK1 )
!= $true ) )
| ~ spl2_173
| ~ spl2_267 ),
inference(duplicate_literal_removal,[],[f16879]) ).
thf(f16894,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_170 ),
inference(avatar_component_clause,[],[f8740]) ).
thf(f16904,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| spl2_122
| ~ spl2_173
| ~ spl2_267 ),
inference(forward_subsumption_resolution,[],[f16889,f14443]) ).
thf(f16910,plain,
( ~ spl2_245
| spl2_263
| ~ spl2_267 ),
inference(avatar_split_clause,[],[f16799,f15277,f15256,f14656]) ).
thf(f16920,plain,
( spl2_148
| spl2_122
| ~ spl2_173
| ~ spl2_267 ),
inference(avatar_split_clause,[],[f16904,f15277,f8910,f6740,f7114]) ).
thf(f16948,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_267 ),
inference(constrained_superposition,[],[f5978,f15278]) ).
thf(f17041,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_160 ),
inference(avatar_component_clause,[],[f7943]) ).
thf(f17050,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_125
| ~ spl2_267 ),
inference(forward_subsumption_resolution,[],[f16948,f6815]) ).
thf(f17055,plain,
( spl2_160
| spl2_125
| ~ spl2_267 ),
inference(avatar_split_clause,[],[f17050,f15277,f6814,f7943]) ).
thf(f17063,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_270 ),
inference(constrained_superposition,[],[f73,f15592]) ).
thf(f17066,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_270 ),
inference(constrained_superposition,[],[f109,f15592]) ).
thf(f17120,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_270 ),
inference(constrained_superposition,[],[f4661,f15592]) ).
thf(f17125,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_110
| ~ spl2_270 ),
inference(constrained_superposition,[],[f5319,f15592]) ).
thf(f17142,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_270 ),
inference(duplicate_literal_removal,[],[f17066]) ).
thf(f17147,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_13
| ~ spl2_270 ),
inference(forward_subsumption_resolution,[],[f17063,f204]) ).
thf(f17149,plain,
( ! [X0: $i] :
( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| spl2_14
| ~ spl2_270 ),
inference(forward_subsumption_resolution,[],[f17142,f256]) ).
thf(f17151,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_110
| ~ spl2_270 ),
inference(forward_subsumption_resolution,[],[f17125,f48]) ).
thf(f17158,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| spl2_14
| ~ spl2_270 ),
inference(forward_subsumption_resolution,[],[f17120,f256]) ).
thf(f17167,plain,
( $false
| spl2_13
| spl2_14
| ~ spl2_270 ),
inference(forward_subsumption_resolution,[],[f17147,f256]) ).
thf(f17168,plain,
( spl2_13
| spl2_14
| ~ spl2_270 ),
inference(avatar_contradiction_clause,[],[f17167]) ).
thf(f17170,plain,
( spl2_48
| spl2_14
| ~ spl2_270 ),
inference(avatar_split_clause,[],[f17149,f15591,f255,f1132]) ).
thf(f17172,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_4
| ~ spl2_110
| ~ spl2_270 ),
inference(forward_subsumption_resolution,[],[f17151,f129]) ).
thf(f17180,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| spl2_14
| ~ spl2_270 ),
inference(forward_subsumption_resolution,[],[f17158,f48]) ).
thf(f17186,plain,
( $false
| ~ spl2_4
| spl2_41
| ~ spl2_110
| ~ spl2_270 ),
inference(forward_subsumption_resolution,[],[f17172,f16618]) ).
thf(f17187,plain,
( ~ spl2_4
| spl2_41
| ~ spl2_110
| ~ spl2_270 ),
inference(avatar_contradiction_clause,[],[f17186]) ).
thf(f17191,plain,
( $false
| ~ spl2_6
| spl2_14
| ~ spl2_270 ),
inference(forward_subsumption_resolution,[],[f17180,f146]) ).
thf(f17192,plain,
( ~ spl2_6
| spl2_14
| ~ spl2_270 ),
inference(avatar_contradiction_clause,[],[f17191]) ).
thf(f17218,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_9
| ~ spl2_12 ),
inference(constrained_superposition,[],[f156,f201]) ).
thf(f17227,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
!= $true )
| ~ spl2_9
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f17218]) ).
thf(f17230,plain,
( spl2_44
| ~ spl2_9
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f17227,f200,f155,f1115]) ).
thf(f17233,plain,
( ( $true != $true )
| ~ spl2_44
| ~ spl2_135 ),
inference(constrained_superposition,[],[f1116,f6937]) ).
thf(f17239,plain,
( $false
| ~ spl2_44
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f17233]) ).
thf(f17240,plain,
( ~ spl2_44
| ~ spl2_135 ),
inference(avatar_contradiction_clause,[],[f17239]) ).
thf(f17251,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| spl2_126 ),
inference(constrained_superposition,[],[f6819,f72]) ).
thf(f17253,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_126 ),
inference(constrained_superposition,[],[f6819,f27]) ).
thf(f17254,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_126 ),
inference(trivial_inequality_removal,[],[f17253]) ).
thf(f17255,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_126 ),
inference(trivial_inequality_removal,[],[f17251]) ).
thf(f17257,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_122
| spl2_126 ),
inference(forward_subsumption_resolution,[],[f17254,f14443]) ).
thf(f17258,plain,
( spl2_170
| spl2_126 ),
inference(avatar_split_clause,[],[f17255,f6818,f8740]) ).
thf(f17260,plain,
( spl2_170
| spl2_122
| spl2_126 ),
inference(avatar_split_clause,[],[f17257,f6818,f6740,f8740]) ).
thf(f17262,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_245 ),
inference(constrained_superposition,[],[f14657,f50]) ).
thf(f17265,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_245 ),
inference(trivial_inequality_removal,[],[f17262]) ).
thf(f17267,plain,
( spl2_284
| spl2_245 ),
inference(avatar_split_clause,[],[f17265,f14656,f16285]) ).
thf(f17310,definition,
( spl2_317
<=> ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_317])],[avatar_definition]) ).
thf(f17311,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_317 ),
inference(avatar_component_clause,[],[f17310]) ).
thf(f17318,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_9
| ~ spl2_170 ),
inference(constrained_superposition,[],[f156,f8741]) ).
thf(f17326,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_9
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f17318]) ).
thf(f17330,plain,
( $false
| ~ spl2_9
| ~ spl2_135
| ~ spl2_170 ),
inference(forward_subsumption_resolution,[],[f17326,f6937]) ).
thf(f17331,plain,
( ~ spl2_9
| ~ spl2_135
| ~ spl2_170 ),
inference(avatar_contradiction_clause,[],[f17330]) ).
thf(f17360,definition,
( spl2_320
<=> ! [X2: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_320])],[avatar_definition]) ).
thf(f17361,plain,
( ! [X2: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 )
!= $true )
| ~ spl2_320 ),
inference(avatar_component_clause,[],[f17360]) ).
thf(f17377,plain,
( ( $true != $true )
| ~ spl2_121
| ~ spl2_320 ),
inference(constrained_superposition,[],[f17361,f6738]) ).
thf(f17378,plain,
( ( $true != $true )
| ~ spl2_135
| ~ spl2_320 ),
inference(constrained_superposition,[],[f17361,f6937]) ).
thf(f17394,plain,
( $false
| ~ spl2_135
| ~ spl2_320 ),
inference(trivial_inequality_removal,[],[f17378]) ).
thf(f17395,plain,
( ~ spl2_135
| ~ spl2_320 ),
inference(avatar_contradiction_clause,[],[f17394]) ).
thf(f17402,plain,
( $false
| ~ spl2_121
| ~ spl2_320 ),
inference(trivial_inequality_removal,[],[f17377]) ).
thf(f17403,plain,
( ~ spl2_121
| ~ spl2_320 ),
inference(avatar_contradiction_clause,[],[f17402]) ).
thf(f17414,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_170
| ~ spl2_184 ),
inference(constrained_superposition,[],[f16894,f9906]) ).
thf(f17421,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_170
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f17414]) ).
thf(f17427,plain,
( ( $true != $true )
| ~ spl2_127
| ~ spl2_284 ),
inference(constrained_superposition,[],[f6890,f16286]) ).
thf(f17430,plain,
( $false
| ~ spl2_127
| ~ spl2_284 ),
inference(trivial_inequality_removal,[],[f17427]) ).
thf(f17431,plain,
( ~ spl2_127
| ~ spl2_284 ),
inference(avatar_contradiction_clause,[],[f17430]) ).
thf(f17578,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_276 ),
inference(constrained_superposition,[],[f15968,f73]) ).
thf(f17583,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_276 ),
inference(trivial_inequality_removal,[],[f17578]) ).
thf(f17585,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_260 ),
inference(avatar_component_clause,[],[f15237]) ).
thf(f17587,plain,
( spl2_260
| spl2_276 ),
inference(avatar_split_clause,[],[f17583,f15967,f15237]) ).
thf(f17616,definition,
( spl2_322
<=> ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_322])],[avatar_definition]) ).
thf(f17617,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_322 ),
inference(avatar_component_clause,[],[f17616]) ).
thf(f17632,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_123
| ~ spl2_266 ),
inference(constrained_superposition,[],[f6787,f15269]) ).
thf(f17648,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_123
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f17632]) ).
thf(f17660,plain,
( $false
| ~ spl2_123
| ~ spl2_260
| ~ spl2_266 ),
inference(forward_subsumption_resolution,[],[f17648,f17585]) ).
thf(f17661,plain,
( ~ spl2_123
| ~ spl2_260
| ~ spl2_266 ),
inference(avatar_contradiction_clause,[],[f17660]) ).
thf(f17663,definition,
( spl2_323
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_323])],[avatar_definition]) ).
thf(f17664,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_323 ),
inference(avatar_component_clause,[],[f17663]) ).
thf(f17668,definition,
( spl2_324
<=> ! [X1: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_324])],[avatar_definition]) ).
thf(f17669,plain,
( ! [X1: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ~ spl2_324 ),
inference(avatar_component_clause,[],[f17668]) ).
thf(f17694,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_121
| ~ spl2_148 ),
inference(constrained_superposition,[],[f7115,f6738]) ).
thf(f17713,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_121
| ~ spl2_148 ),
inference(trivial_inequality_removal,[],[f17694]) ).
thf(f17720,plain,
( $false
| ~ spl2_4
| ~ spl2_121
| ~ spl2_148 ),
inference(forward_subsumption_resolution,[],[f17713,f129]) ).
thf(f17721,plain,
( ~ spl2_4
| ~ spl2_121
| ~ spl2_148 ),
inference(avatar_contradiction_clause,[],[f17720]) ).
thf(f17722,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_16
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f11095,f48]) ).
thf(f17724,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_29
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f11104,f48]) ).
thf(f17725,plain,
( spl2_297
| ~ spl2_121
| ~ spl2_16
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f17722,f9905,f345,f6737,f16443]) ).
thf(f17727,plain,
( ~ spl2_121
| spl2_312
| ~ spl2_29
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f17724,f9905,f572,f16691,f6737]) ).
thf(f17752,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_145
| ~ spl2_264 ),
inference(constrained_superposition,[],[f7068,f15260]) ).
thf(f17771,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_145
| ~ spl2_264 ),
inference(trivial_inequality_removal,[],[f17752]) ).
thf(f17791,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_133
| ~ spl2_145
| ~ spl2_264 ),
inference(constrained_superposition,[],[f17771,f6929]) ).
thf(f17797,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_133
| ~ spl2_145
| ~ spl2_264 ),
inference(trivial_inequality_removal,[],[f17791]) ).
thf(f17801,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_133
| ~ spl2_145
| ~ spl2_264 ),
inference(forward_subsumption_resolution,[],[f17797,f48]) ).
thf(f17803,plain,
( spl2_278
| spl2_270
| ~ spl2_133
| ~ spl2_145
| ~ spl2_264 ),
inference(avatar_split_clause,[],[f17801,f15259,f7067,f6928,f15591,f16063]) ).
thf(f17865,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_226
| ~ spl2_260 ),
inference(constrained_superposition,[],[f13607,f17585]) ).
thf(f17888,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ~ spl2_226
| ~ spl2_260 ),
inference(trivial_inequality_removal,[],[f17865]) ).
thf(f17902,plain,
( spl2_20
| ~ spl2_226
| ~ spl2_260 ),
inference(avatar_split_clause,[],[f17888,f15237,f13606,f359]) ).
thf(f17915,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_260
| ~ spl2_317 ),
inference(constrained_superposition,[],[f17311,f17585]) ).
thf(f17933,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_260
| ~ spl2_317 ),
inference(trivial_inequality_removal,[],[f17915]) ).
thf(f17945,plain,
( $false
| ~ spl2_4
| ~ spl2_260
| ~ spl2_317 ),
inference(forward_subsumption_resolution,[],[f17933,f129]) ).
thf(f17946,plain,
( ~ spl2_4
| ~ spl2_260
| ~ spl2_317 ),
inference(avatar_contradiction_clause,[],[f17945]) ).
thf(f17974,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_246
| ~ spl2_266 ),
inference(constrained_superposition,[],[f14661,f15269]) ).
thf(f17987,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_246
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f17974]) ).
thf(f17990,plain,
( $false
| ~ spl2_141
| ~ spl2_246
| ~ spl2_266 ),
inference(forward_subsumption_resolution,[],[f17987,f6977]) ).
thf(f17991,plain,
( ~ spl2_141
| ~ spl2_246
| ~ spl2_266 ),
inference(avatar_contradiction_clause,[],[f17990]) ).
thf(f17995,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_258 ),
inference(avatar_component_clause,[],[f15227]) ).
thf(f18008,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| ~ spl2_6
| ~ spl2_258 ),
inference(constrained_superposition,[],[f4661,f17995]) ).
thf(f18017,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_6
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f18008]) ).
thf(f18275,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_249 ),
inference(constrained_superposition,[],[f69,f14711]) ).
thf(f18285,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_249 ),
inference(trivial_inequality_removal,[],[f18275]) ).
thf(f18293,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_127
| ~ spl2_249 ),
inference(forward_subsumption_resolution,[],[f18285,f6890]) ).
thf(f18301,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_127
| ~ spl2_249 ),
inference(forward_subsumption_resolution,[],[f18293,f48]) ).
thf(f18304,plain,
( $false
| ~ spl2_127
| ~ spl2_249 ),
inference(forward_subsumption_resolution,[],[f18301,f6890]) ).
thf(f18305,plain,
( ~ spl2_127
| ~ spl2_249 ),
inference(avatar_contradiction_clause,[],[f18304]) ).
thf(f18319,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_6
| ~ spl2_24
| ~ spl2_250 ),
inference(constrained_superposition,[],[f2898,f14714]) ).
thf(f18333,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_6
| ~ spl2_24
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f18319]) ).
thf(f18347,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_6
| ~ spl2_24
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f18333,f42]) ).
thf(f18363,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_6
| ~ spl2_24
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f18347,f48]) ).
thf(f18373,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_6
| ~ spl2_24
| ~ spl2_127
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f18363,f6890]) ).
thf(f18376,definition,
( spl2_334
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_334])],[avatar_definition]) ).
thf(f18377,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_334 ),
inference(avatar_component_clause,[],[f18376]) ).
thf(f18384,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ~ spl2_6
| ~ spl2_24
| ~ spl2_127
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f18373,f6890]) ).
thf(f18389,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_6
| ~ spl2_24
| ~ spl2_127
| ~ spl2_250 ),
inference(forward_subsumption_resolution,[],[f18384,f48]) ).
thf(f18391,plain,
( spl2_255
| ~ spl2_6
| ~ spl2_24
| ~ spl2_127
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f18389,f14713,f6889,f441,f145,f14742]) ).
thf(f18404,plain,
( spl2_4
| spl2_1 ),
inference(avatar_split_clause,[],[f4684,f117,f128]) ).
thf(f18405,plain,
( spl2_4
| spl2_3 ),
inference(avatar_split_clause,[],[f4726,f124,f128]) ).
thf(f18407,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| spl2_170
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f17421,f42]) ).
thf(f18418,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_170
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f18407,f48]) ).
thf(f18425,plain,
( spl2_4
| spl2_170
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f18418,f9905,f8740,f128]) ).
thf(f18440,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_122
| ~ spl2_135 ),
inference(constrained_superposition,[],[f6937,f6741]) ).
thf(f18441,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_122
| spl2_137 ),
inference(constrained_superposition,[],[f6944,f6741]) ).
thf(f18446,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_121
| ~ spl2_122 ),
inference(constrained_superposition,[],[f8734,f6741]) ).
thf(f18455,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_122 ),
inference(constrained_superposition,[],[f72,f6741]) ).
thf(f18462,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_84
| ~ spl2_122 ),
inference(constrained_superposition,[],[f4649,f6741]) ).
thf(f18501,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_6
| ~ spl2_122 ),
inference(constrained_superposition,[],[f4661,f6741]) ).
thf(f18505,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_6
| ~ spl2_122 ),
inference(constrained_superposition,[],[f5211,f6741]) ).
thf(f18519,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_13
| ~ spl2_122 ),
inference(forward_subsumption_resolution,[],[f18455,f204]) ).
thf(f18525,plain,
( ~ spl2_14
| spl2_121
| ~ spl2_122 ),
inference(avatar_split_clause,[],[f18446,f6740,f6737,f255]) ).
thf(f18527,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_6
| ~ spl2_122 ),
inference(forward_subsumption_resolution,[],[f18501,f146]) ).
thf(f18528,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_6
| spl2_41
| ~ spl2_122 ),
inference(forward_subsumption_resolution,[],[f18505,f16618]) ).
thf(f18543,plain,
( $false
| ~ spl2_6
| ~ spl2_122
| spl2_137 ),
inference(forward_subsumption_resolution,[],[f18441,f146]) ).
thf(f18544,plain,
( ~ spl2_6
| ~ spl2_122
| spl2_137 ),
inference(avatar_contradiction_clause,[],[f18543]) ).
thf(f18564,plain,
( spl2_4
| ~ spl2_122
| ~ spl2_135 ),
inference(avatar_split_clause,[],[f18440,f6936,f6740,f128]) ).
thf(f18565,plain,
( spl2_4
| spl2_14
| ~ spl2_84
| ~ spl2_122 ),
inference(avatar_split_clause,[],[f18462,f6740,f2820,f255,f128]) ).
thf(f18572,plain,
( spl2_14
| spl2_13
| ~ spl2_122 ),
inference(avatar_split_clause,[],[f18519,f6740,f203,f255]) ).
thf(f18574,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_6
| ~ spl2_122 ),
inference(forward_subsumption_resolution,[],[f18527,f48]) ).
thf(f18575,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_6
| spl2_41
| ~ spl2_122 ),
inference(forward_subsumption_resolution,[],[f18528,f48]) ).
thf(f18587,plain,
( spl2_14
| ~ spl2_6
| ~ spl2_122 ),
inference(avatar_split_clause,[],[f18574,f6740,f145,f255]) ).
thf(f18588,plain,
( spl2_14
| ~ spl2_6
| spl2_41
| ~ spl2_122 ),
inference(avatar_split_clause,[],[f18575,f6740,f1096,f145,f255]) ).
thf(f18595,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_122 ),
inference(extensionality_resolution,[],[f74,f14443]) ).
thf(f18596,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_122 ),
inference(extensionality_resolution,[],[f74,f14443]) ).
thf(f18597,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_122 ),
inference(extensionality_resolution,[],[f4682,f14443]) ).
thf(f18598,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_122 ),
inference(extensionality_resolution,[],[f4682,f14443]) ).
thf(f18599,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_122 ),
inference(extensionality_resolution,[],[f102,f14443]) ).
thf(f18600,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_122 ),
inference(extensionality_resolution,[],[f102,f14443]) ).
thf(f18603,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_122 ),
inference(extensionality_resolution,[],[f80,f14443]) ).
thf(f18605,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_122 ),
inference(extensionality_resolution,[],[f64,f14443]) ).
thf(f18608,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_122 ),
inference(extensionality_resolution,[],[f51,f14443]) ).
thf(f18613,plain,
( spl2_251
| spl2_243
| spl2_122 ),
inference(avatar_split_clause,[],[f18605,f6740,f14650,f14717]) ).
thf(f18614,plain,
( spl2_253
| spl2_252
| spl2_122 ),
inference(avatar_split_clause,[],[f18595,f6740,f14722,f14725]) ).
thf(f18615,plain,
( spl2_249
| spl2_250
| spl2_122 ),
inference(avatar_split_clause,[],[f18596,f6740,f14713,f14710]) ).
thf(f18617,plain,
( ( $true != $true )
| ~ spl2_20
| ~ spl2_259 ),
inference(constrained_superposition,[],[f360,f15246]) ).
thf(f18622,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f360,f100]) ).
thf(f18626,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f18622]) ).
thf(f18636,plain,
( $false
| ~ spl2_20
| ~ spl2_259 ),
inference(trivial_inequality_removal,[],[f18617]) ).
thf(f18637,plain,
( ~ spl2_20
| ~ spl2_259 ),
inference(avatar_contradiction_clause,[],[f18636]) ).
thf(f18638,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f18626,f360]) ).
thf(f18644,plain,
( spl2_216
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f18638,f359,f12614]) ).
thf(f18660,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_14 ),
inference(constrained_superposition,[],[f30,f1476]) ).
thf(f18664,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f18660]) ).
thf(f18666,plain,
( spl2_43
| spl2_17
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f18664,f255,f348,f1111]) ).
thf(f18672,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_17
| ~ spl2_259 ),
inference(constrained_superposition,[],[f349,f15246]) ).
thf(f18674,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_14
| ~ spl2_17 ),
inference(constrained_superposition,[],[f349,f1476]) ).
thf(f18677,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_17 ),
inference(constrained_superposition,[],[f349,f102]) ).
thf(f18683,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ~ spl2_14
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f18674]) ).
thf(f18687,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) ) )
| ~ spl2_17 ),
inference(trivial_inequality_removal,[],[f18677]) ).
thf(f18691,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_17
| ~ spl2_259 ),
inference(trivial_inequality_removal,[],[f18672]) ).
thf(f18693,plain,
( spl2_20
| ~ spl2_14
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f18683,f348,f255,f359]) ).
thf(f18697,plain,
( spl2_324
| ~ spl2_17
| ~ spl2_259 ),
inference(avatar_split_clause,[],[f18691,f15232,f348,f17668]) ).
thf(f18704,definition,
( spl2_340
<=> ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_340])],[avatar_definition]) ).
thf(f18705,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_340 ),
inference(avatar_component_clause,[],[f18704]) ).
thf(f18706,plain,
( spl2_340
| spl2_4
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f18687,f348,f128,f18704]) ).
thf(f18715,plain,
( ( $true != $true )
| ~ spl2_260
| ~ spl2_324 ),
inference(constrained_superposition,[],[f17669,f17585]) ).
thf(f18729,plain,
( $false
| ~ spl2_260
| ~ spl2_324 ),
inference(trivial_inequality_removal,[],[f18715]) ).
thf(f18730,plain,
( ~ spl2_260
| ~ spl2_324 ),
inference(avatar_contradiction_clause,[],[f18729]) ).
thf(f18759,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_6
| ~ spl2_258 ),
inference(forward_subsumption_resolution,[],[f18017,f48]) ).
thf(f18761,plain,
( spl2_259
| ~ spl2_6
| ~ spl2_258 ),
inference(avatar_split_clause,[],[f18759,f15227,f145,f15232]) ).
thf(f18766,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_259 ),
inference(constrained_superposition,[],[f15233,f4682]) ).
thf(f18767,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_259 ),
inference(constrained_superposition,[],[f15233,f102]) ).
thf(f18771,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_259 ),
inference(trivial_inequality_removal,[],[f18767]) ).
thf(f18773,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_259 ),
inference(trivial_inequality_removal,[],[f18766]) ).
thf(f18785,plain,
( spl2_266
| spl2_135
| spl2_284
| spl2_122 ),
inference(avatar_split_clause,[],[f18599,f6740,f16285,f6936,f15268]) ).
thf(f18790,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_259 ),
inference(forward_subsumption_resolution,[],[f18771,f48]) ).
thf(f18792,plain,
( spl2_243
| spl2_135
| spl2_284
| spl2_122 ),
inference(avatar_split_clause,[],[f18600,f6740,f16285,f6936,f14650]) ).
thf(f18794,plain,
( spl2_284
| spl2_266
| ~ spl2_130
| spl2_122 ),
inference(avatar_split_clause,[],[f18603,f6740,f6902,f15268,f16285]) ).
thf(f18799,plain,
( spl2_284
| spl2_4
| spl2_259 ),
inference(avatar_split_clause,[],[f18790,f15232,f128,f16285]) ).
thf(f18801,plain,
( spl2_248
| spl2_243
| spl2_122 ),
inference(avatar_split_clause,[],[f18608,f6740,f14650,f14706]) ).
thf(f18810,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl2_121 ),
inference(constrained_superposition,[],[f30,f6738]) ).
thf(f18813,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f18810]) ).
thf(f18835,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_17
| ~ spl2_170 ),
inference(constrained_superposition,[],[f349,f8741]) ).
thf(f18840,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_17
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f18835]) ).
thf(f18844,plain,
( spl2_320
| ~ spl2_17
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f18840,f8740,f348,f17360]) ).
thf(f18845,plain,
( spl2_17
| spl2_123
| ~ spl2_121 ),
inference(avatar_split_clause,[],[f18813,f6737,f6786,f348]) ).
thf(f18861,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true ) )
| ~ spl2_223 ),
inference(constrained_superposition,[],[f30,f13375]) ).
thf(f18868,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 )
!= $true ) )
| ~ spl2_223 ),
inference(trivial_inequality_removal,[],[f18861]) ).
thf(f18873,plain,
( spl2_8
| spl2_228
| ~ spl2_223 ),
inference(avatar_split_clause,[],[f18868,f13374,f13692,f152]) ).
thf(f18876,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_223
| ~ spl2_278 ),
inference(constrained_superposition,[],[f13375,f16064]) ).
thf(f18943,plain,
( $false
| spl2_135
| ~ spl2_223
| ~ spl2_278 ),
inference(forward_subsumption_resolution,[],[f18876,f9678]) ).
thf(f18944,plain,
( spl2_135
| ~ spl2_223
| ~ spl2_278 ),
inference(avatar_contradiction_clause,[],[f18943]) ).
thf(f18959,plain,
( $false
| ~ spl2_137
| ~ spl2_240 ),
inference(forward_subsumption_resolution,[],[f16255,f14632]) ).
thf(f18960,plain,
( ~ spl2_137
| ~ spl2_240 ),
inference(avatar_contradiction_clause,[],[f18959]) ).
thf(f18976,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_259 ),
inference(forward_subsumption_resolution,[],[f18773,f48]) ).
thf(f18985,plain,
( spl2_4
| spl2_281
| spl2_259 ),
inference(avatar_split_clause,[],[f18976,f15232,f16248,f128]) ).
thf(f18996,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_137 ),
inference(constrained_superposition,[],[f4663,f16255]) ).
thf(f19013,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ X0 )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_137 ),
inference(trivial_inequality_removal,[],[f18996]) ).
thf(f19015,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_137 ),
inference(forward_subsumption_resolution,[],[f19013,f48]) ).
thf(f19162,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_4 ),
inference(avatar_component_clause,[],[f128]) ).
thf(f19239,definition,
( spl2_347
<=> ! [X2: $i,X0: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_347])],[avatar_definition]) ).
thf(f19240,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl2_347 ),
inference(avatar_component_clause,[],[f19239]) ).
thf(f19380,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_121
| ~ spl2_123 ),
inference(constrained_superposition,[],[f6787,f6738]) ).
thf(f19381,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_84
| ~ spl2_123 ),
inference(constrained_superposition,[],[f6787,f4649]) ).
thf(f19385,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f6787,f4682]) ).
thf(f19386,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f6787,f102]) ).
thf(f19388,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f6787,f87]) ).
thf(f19393,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_121
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f19380]) ).
thf(f19394,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f19388]) ).
thf(f19400,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f19385]) ).
thf(f19401,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f19386]) ).
thf(f19404,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_84
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f19381]) ).
thf(f19406,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_123
| spl2_135 ),
inference(forward_subsumption_resolution,[],[f19394,f9678]) ).
thf(f19408,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_123
| spl2_135 ),
inference(forward_subsumption_resolution,[],[f19400,f9678]) ).
thf(f19409,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_123
| spl2_135 ),
inference(forward_subsumption_resolution,[],[f19401,f9678]) ).
thf(f19410,plain,
( spl2_305
| ~ spl2_123
| spl2_135 ),
inference(avatar_split_clause,[],[f19406,f6936,f6786,f16601]) ).
thf(f19412,plain,
( spl2_306
| ~ spl2_123
| spl2_135 ),
inference(avatar_split_clause,[],[f19408,f6936,f6786,f16606]) ).
thf(f19413,plain,
( spl2_309
| ~ spl2_123
| spl2_135 ),
inference(avatar_split_clause,[],[f19409,f6936,f6786,f16647]) ).
thf(f19477,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_183
| ~ spl2_264 ),
inference(constrained_superposition,[],[f9862,f15260]) ).
thf(f19484,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_183
| ~ spl2_264 ),
inference(trivial_inequality_removal,[],[f19477]) ).
thf(f19568,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_249 ),
inference(constrained_superposition,[],[f2812,f14711]) ).
thf(f19569,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_249 ),
inference(constrained_superposition,[],[f109,f14711]) ).
thf(f19572,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_249 ),
inference(constrained_superposition,[],[f62,f14711]) ).
thf(f19578,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_249 ),
inference(constrained_superposition,[],[f26,f14711]) ).
thf(f19579,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_249 ),
inference(trivial_inequality_removal,[],[f19568]) ).
thf(f19585,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_249 ),
inference(trivial_inequality_removal,[],[f19578]) ).
thf(f19586,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_249 ),
inference(trivial_inequality_removal,[],[f19569]) ).
thf(f19587,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_249 ),
inference(trivial_inequality_removal,[],[f19572]) ).
thf(f19601,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_253 ),
inference(constrained_superposition,[],[f109,f14726]) ).
thf(f19619,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_253 ),
inference(trivial_inequality_removal,[],[f19601]) ).
thf(f19623,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_183
| ~ spl2_253
| ~ spl2_264 ),
inference(forward_subsumption_resolution,[],[f19619,f19484]) ).
thf(f19624,plain,
( ~ spl2_276
| ~ spl2_183
| ~ spl2_253
| ~ spl2_264 ),
inference(avatar_split_clause,[],[f19623,f15259,f14725,f9861,f15967]) ).
thf(f19628,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_228
| ~ spl2_252 ),
inference(constrained_superposition,[],[f13693,f14723]) ).
thf(f19641,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_228
| ~ spl2_252 ),
inference(trivial_inequality_removal,[],[f19628]) ).
thf(f19655,plain,
( $false
| ~ spl2_223
| ~ spl2_228
| ~ spl2_252 ),
inference(forward_subsumption_resolution,[],[f19641,f13375]) ).
thf(f19656,plain,
( ~ spl2_223
| ~ spl2_228
| ~ spl2_252 ),
inference(avatar_contradiction_clause,[],[f19655]) ).
thf(f19694,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_253 ),
inference(constrained_superposition,[],[f2812,f14726]) ).
thf(f19695,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_253 ),
inference(constrained_superposition,[],[f109,f14726]) ).
thf(f19706,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_253 ),
inference(trivial_inequality_removal,[],[f19694]) ).
thf(f19711,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_253 ),
inference(trivial_inequality_removal,[],[f19695]) ).
thf(f19718,definition,
( spl2_352
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_352])],[avatar_definition]) ).
thf(f19719,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_352 ),
inference(avatar_component_clause,[],[f19718]) ).
thf(f19720,plain,
( ~ spl2_276
| spl2_352
| ~ spl2_253 ),
inference(avatar_split_clause,[],[f19711,f14725,f19718,f15967]) ).
thf(f19739,definition,
( spl2_353
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_353])],[avatar_definition]) ).
thf(f19740,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_353 ),
inference(avatar_component_clause,[],[f19739]) ).
thf(f19741,plain,
( spl2_260
| ~ spl2_353
| ~ spl2_249 ),
inference(avatar_split_clause,[],[f19579,f14710,f19739,f15237]) ).
thf(f19743,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_53
| spl2_141 ),
inference(constrained_superposition,[],[f6973,f1199]) ).
thf(f19748,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_53
| spl2_141 ),
inference(trivial_inequality_removal,[],[f19743]) ).
thf(f19753,plain,
( $false
| ~ spl2_53
| spl2_141 ),
inference(forward_subsumption_resolution,[],[f19748,f48]) ).
thf(f19754,plain,
( ~ spl2_53
| spl2_141 ),
inference(avatar_contradiction_clause,[],[f19753]) ).
thf(f19777,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_353 ),
inference(constrained_superposition,[],[f19740,f73]) ).
thf(f19781,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_353 ),
inference(trivial_inequality_removal,[],[f19777]) ).
thf(f19902,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_280 ),
inference(avatar_component_clause,[],[f16214]) ).
thf(f19936,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_123
| ~ spl2_280 ),
inference(constrained_superposition,[],[f6787,f19902]) ).
thf(f19949,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_123
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f19936]) ).
thf(f19953,plain,
( $false
| ~ spl2_123
| ~ spl2_275
| ~ spl2_280 ),
inference(forward_subsumption_resolution,[],[f19949,f15963]) ).
thf(f19954,plain,
( ~ spl2_123
| ~ spl2_275
| ~ spl2_280 ),
inference(avatar_contradiction_clause,[],[f19953]) ).
thf(f19956,definition,
( spl2_354
<=> ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_354])],[avatar_definition]) ).
thf(f19957,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_354 ),
inference(avatar_component_clause,[],[f19956]) ).
thf(f19963,plain,
( ~ spl2_14
| ~ spl2_121
| ~ spl2_123 ),
inference(avatar_split_clause,[],[f19393,f6786,f6737,f255]) ).
thf(f19992,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_84
| ~ spl2_123
| spl2_135 ),
inference(forward_subsumption_resolution,[],[f19404,f9678]) ).
thf(f19996,plain,
( spl2_281
| ~ spl2_263
| ~ spl2_249 ),
inference(avatar_split_clause,[],[f19587,f14710,f15256,f16248]) ).
thf(f20031,plain,
( ~ spl2_14
| ~ spl2_84
| ~ spl2_123
| spl2_135 ),
inference(avatar_split_clause,[],[f19992,f6936,f6786,f2820,f255]) ).
thf(f20055,plain,
( ( $true != $true )
| ~ spl2_20
| ~ spl2_170 ),
inference(constrained_superposition,[],[f360,f8741]) ).
thf(f20057,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_20 ),
inference(constrained_superposition,[],[f360,f4682]) ).
thf(f20067,plain,
( $false
| ~ spl2_20
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f20055]) ).
thf(f20068,plain,
( ~ spl2_20
| ~ spl2_170 ),
inference(avatar_contradiction_clause,[],[f20067]) ).
thf(f20070,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_20 ),
inference(trivial_inequality_removal,[],[f20057]) ).
thf(f20075,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| spl2_4
| ~ spl2_20 ),
inference(forward_subsumption_resolution,[],[f20070,f19162]) ).
thf(f20079,plain,
( spl2_53
| spl2_4
| ~ spl2_20 ),
inference(avatar_split_clause,[],[f20075,f359,f128,f1198]) ).
thf(f20081,plain,
( ( $true != $true )
| ~ spl2_22
| spl2_135 ),
inference(constrained_superposition,[],[f9678,f380]) ).
thf(f20096,plain,
( $false
| ~ spl2_22
| spl2_135 ),
inference(trivial_inequality_removal,[],[f20081]) ).
thf(f20097,plain,
( ~ spl2_22
| spl2_135 ),
inference(avatar_contradiction_clause,[],[f20096]) ).
thf(f20324,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_43
| ~ spl2_170 ),
inference(constrained_superposition,[],[f1112,f8741]) ).
thf(f20329,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_43 ),
inference(constrained_superposition,[],[f1112,f100]) ).
thf(f20335,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_43
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f20324]) ).
thf(f20342,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f20329]) ).
thf(f20344,plain,
( $false
| ~ spl2_43
| ~ spl2_121
| ~ spl2_170 ),
inference(forward_subsumption_resolution,[],[f20335,f6738]) ).
thf(f20345,plain,
( ~ spl2_43
| ~ spl2_121
| ~ spl2_170 ),
inference(avatar_contradiction_clause,[],[f20344]) ).
thf(f20353,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_43 ),
inference(forward_subsumption_resolution,[],[f20342,f2907]) ).
thf(f20358,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true ) )
| spl2_4
| ~ spl2_43 ),
inference(forward_subsumption_resolution,[],[f20353,f19162]) ).
thf(f20362,plain,
( spl2_216
| spl2_4
| ~ spl2_43 ),
inference(avatar_split_clause,[],[f20358,f1111,f128,f12614]) ).
thf(f20381,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_183 ),
inference(constrained_superposition,[],[f9862,f102]) ).
thf(f20390,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f20381]) ).
thf(f20398,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| spl2_135
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f20390,f9678]) ).
thf(f20416,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_243
| ~ spl2_272 ),
inference(constrained_superposition,[],[f15834,f14651]) ).
thf(f20440,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_243
| ~ spl2_272 ),
inference(trivial_inequality_removal,[],[f20416]) ).
thf(f20445,plain,
( ~ spl2_160
| ~ spl2_243
| ~ spl2_272 ),
inference(avatar_split_clause,[],[f20440,f15833,f14650,f7943]) ).
thf(f20623,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_249 ),
inference(constrained_superposition,[],[f19585,f5978]) ).
thf(f20627,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_249 ),
inference(trivial_inequality_removal,[],[f20623]) ).
thf(f20819,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| spl2_135
| ~ spl2_216 ),
inference(constrained_superposition,[],[f9678,f12615]) ).
thf(f20832,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_135
| ~ spl2_216 ),
inference(trivial_inequality_removal,[],[f20819]) ).
thf(f20839,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_122
| spl2_135
| ~ spl2_216 ),
inference(forward_subsumption_resolution,[],[f20832,f14443]) ).
thf(f20845,plain,
( $false
| spl2_122
| spl2_135
| ~ spl2_216 ),
inference(forward_subsumption_resolution,[],[f20839,f48]) ).
thf(f20846,plain,
( spl2_122
| spl2_135
| ~ spl2_216 ),
inference(avatar_contradiction_clause,[],[f20845]) ).
thf(f21540,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X3 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true ) )
| ~ spl2_314 ),
inference(constrained_superposition,[],[f30,f16711]) ).
thf(f21547,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_314 ),
inference(trivial_inequality_removal,[],[f21540]) ).
thf(f21549,plain,
( spl2_186
| spl2_8
| ~ spl2_314 ),
inference(avatar_split_clause,[],[f21547,f16710,f152,f10279]) ).
thf(f21820,definition,
( spl2_383
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_383])],[avatar_definition]) ).
thf(f21821,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_383 ),
inference(avatar_component_clause,[],[f21820]) ).
thf(f22230,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
= sK1 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_84
| ~ spl2_340 ),
inference(constrained_superposition,[],[f18705,f4649]) ).
thf(f22244,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_84
| ~ spl2_340 ),
inference(duplicate_literal_removal,[],[f22230]) ).
thf(f22245,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= sK1 ) )
| ~ spl2_84
| ~ spl2_340 ),
inference(trivial_inequality_removal,[],[f22244]) ).
thf(f22264,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ~ spl2_84
| ~ spl2_340 ),
inference(forward_subsumption_resolution,[],[f22245,f48]) ).
thf(f22273,plain,
( spl2_22
| ~ spl2_84
| ~ spl2_340 ),
inference(avatar_split_clause,[],[f22264,f18704,f2820,f379]) ).
thf(f22588,definition,
( spl2_393
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_393])],[avatar_definition]) ).
thf(f22589,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_393 ),
inference(avatar_component_clause,[],[f22588]) ).
thf(f22603,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_276 ),
inference(avatar_component_clause,[],[f15967]) ).
thf(f22710,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_276 ),
inference(constrained_superposition,[],[f26,f22603]) ).
thf(f22716,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_276 ),
inference(trivial_inequality_removal,[],[f22710]) ).
thf(f22721,plain,
( spl2_393
| ~ spl2_276 ),
inference(avatar_split_clause,[],[f22716,f15967,f22588]) ).
thf(f22723,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_393 ),
inference(constrained_superposition,[],[f22589,f51]) ).
thf(f22725,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_393 ),
inference(constrained_superposition,[],[f22589,f74]) ).
thf(f22730,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f22723]) ).
thf(f22731,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f22725]) ).
thf(f22840,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true ) )
| ~ spl2_297 ),
inference(constrained_superposition,[],[f30,f16444]) ).
thf(f22848,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_297 ),
inference(trivial_inequality_removal,[],[f22840]) ).
thf(f22849,plain,
( spl2_188
| spl2_8
| ~ spl2_297 ),
inference(avatar_split_clause,[],[f22848,f16443,f152,f10473]) ).
thf(f22903,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_292 ),
inference(constrained_superposition,[],[f30,f16400]) ).
thf(f22906,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X2 )
!= $true ) )
| ~ spl2_292 ),
inference(trivial_inequality_removal,[],[f22903]) ).
thf(f22931,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ X0 )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_292
| ~ spl2_312 ),
inference(constrained_superposition,[],[f22906,f16692]) ).
thf(f22956,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( sK0 @ X0 )
= sK1 ) )
| ~ spl2_292
| ~ spl2_312 ),
inference(duplicate_literal_removal,[],[f22931]) ).
thf(f22957,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ sK1 @ X2 )
!= $true )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_292
| ~ spl2_312 ),
inference(trivial_inequality_removal,[],[f22956]) ).
thf(f22966,definition,
( spl2_399
<=> ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_399])],[avatar_definition]) ).
thf(f22967,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_399 ),
inference(avatar_component_clause,[],[f22966]) ).
thf(f22975,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X2 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_292
| ~ spl2_312 ),
inference(forward_subsumption_resolution,[],[f22957,f48]) ).
thf(f22981,plain,
( spl2_5
| spl2_399
| ~ spl2_292
| ~ spl2_312 ),
inference(avatar_split_clause,[],[f22975,f16691,f16399,f22966,f142]) ).
thf(f23517,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_6
| ~ spl2_305 ),
inference(constrained_superposition,[],[f16602,f411]) ).
thf(f23538,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_6
| ~ spl2_305 ),
inference(duplicate_literal_removal,[],[f23517]) ).
thf(f23539,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_6
| ~ spl2_305 ),
inference(trivial_inequality_removal,[],[f23538]) ).
thf(f23554,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_308 ),
inference(constrained_superposition,[],[f16625,f102]) ).
thf(f23557,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_84
| ~ spl2_308 ),
inference(constrained_superposition,[],[f16625,f4649]) ).
thf(f23572,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| ~ spl2_84
| ~ spl2_308 ),
inference(duplicate_literal_removal,[],[f23557]) ).
thf(f23573,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_84
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f23572]) ).
thf(f23578,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ X0 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_308 ),
inference(duplicate_literal_removal,[],[f23554]) ).
thf(f23579,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_308 ),
inference(trivial_inequality_removal,[],[f23578]) ).
thf(f23611,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X3 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_128 ),
inference(constrained_superposition,[],[f30,f6893]) ).
thf(f23615,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_128 ),
inference(trivial_inequality_removal,[],[f23611]) ).
thf(f23623,plain,
( spl2_8
| spl2_173
| ~ spl2_128 ),
inference(avatar_split_clause,[],[f23615,f6892,f8910,f152]) ).
thf(f23742,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ X0 )
= sK1 )
| ( $true != $true ) )
| ~ spl2_6
| ~ spl2_306 ),
inference(constrained_superposition,[],[f16607,f411]) ).
thf(f23748,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_6
| ~ spl2_306 ),
inference(duplicate_literal_removal,[],[f23742]) ).
thf(f23749,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_6
| ~ spl2_306 ),
inference(trivial_inequality_removal,[],[f23748]) ).
thf(f23759,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_6
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f23749,f48]) ).
thf(f23787,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_309 ),
inference(constrained_superposition,[],[f16648,f100]) ).
thf(f23789,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_84
| ~ spl2_309 ),
inference(constrained_superposition,[],[f16648,f4649]) ).
thf(f23801,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= sK1 ) )
| ~ spl2_309 ),
inference(duplicate_literal_removal,[],[f23787]) ).
thf(f23802,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f23801]) ).
thf(f23812,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_84
| ~ spl2_309 ),
inference(duplicate_literal_removal,[],[f23789]) ).
thf(f23813,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_84
| ~ spl2_309 ),
inference(trivial_inequality_removal,[],[f23812]) ).
thf(f23814,plain,
( spl2_314
| ~ spl2_84
| ~ spl2_309 ),
inference(avatar_split_clause,[],[f23813,f16647,f2820,f16710]) ).
thf(f23955,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( sK0 @ X0 )
= sK1 ) )
| spl2_135
| ~ spl2_183 ),
inference(constrained_superposition,[],[f20398,f100]) ).
thf(f23964,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( $true != $true ) )
| spl2_135
| ~ spl2_183 ),
inference(duplicate_literal_removal,[],[f23955]) ).
thf(f23965,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| spl2_135
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f23964]) ).
thf(f23970,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_1
| ~ spl2_19 ),
inference(constrained_superposition,[],[f357,f118]) ).
thf(f23983,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_1
| ~ spl2_19 ),
inference(duplicate_literal_removal,[],[f23970]) ).
thf(f23984,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_1
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f23983]) ).
thf(f24013,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_3
| ~ spl2_287 ),
inference(constrained_superposition,[],[f16367,f125]) ).
thf(f24019,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 ) )
| ~ spl2_3
| ~ spl2_287 ),
inference(duplicate_literal_removal,[],[f24013]) ).
thf(f24020,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_3
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f24019]) ).
thf(f24033,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_3
| ~ spl2_287 ),
inference(forward_subsumption_resolution,[],[f24020,f48]) ).
thf(f24034,plain,
( spl2_292
| ~ spl2_3
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f24033,f16366,f124,f16399]) ).
thf(f24217,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_184 ),
inference(constrained_superposition,[],[f30,f9906]) ).
thf(f24229,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f24217]) ).
thf(f24256,plain,
( spl2_192
| spl2_146
| ~ spl2_184 ),
inference(avatar_split_clause,[],[f24229,f9905,f7070,f11108]) ).
thf(f24969,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true != $true ) )
| ~ spl2_117
| ~ spl2_137 ),
inference(constrained_superposition,[],[f6435,f19015]) ).
thf(f25009,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_117
| ~ spl2_137 ),
inference(duplicate_literal_removal,[],[f24969]) ).
thf(f25010,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_117
| ~ spl2_137 ),
inference(trivial_inequality_removal,[],[f25009]) ).
thf(f25047,plain,
( ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_301
| ~ spl2_323 ),
inference(constrained_superposition,[],[f17664,f16501]) ).
thf(f25059,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_301
| ~ spl2_323 ),
inference(trivial_inequality_removal,[],[f25047]) ).
thf(f25890,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X1 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( b @ X1 @ sK1 )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_6
| ~ spl2_24 ),
inference(constrained_superposition,[],[f442,f414]) ).
thf(f25893,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( sK1 = X1 )
| ( $true != $true )
| ( sK1 = X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ X1 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_6
| ~ spl2_24 ),
inference(constrained_superposition,[],[f442,f6398]) ).
thf(f25895,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( b @ X1 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X1 )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true ) )
| ~ spl2_6
| ~ spl2_24 ),
inference(constrained_superposition,[],[f442,f556]) ).
thf(f25900,plain,
( ! [X0: $i,X1: $i] :
( ( sK1 = X1 )
| ( ( b @ X1 @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_24
| ~ spl2_84 ),
inference(constrained_superposition,[],[f442,f4649]) ).
thf(f25911,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_24
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f25900]) ).
thf(f25915,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X0 )
| ( ( b @ X1 @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X1 ) )
| ~ spl2_6
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f25890]) ).
thf(f25917,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( sK1 = X1 )
| ( sK1 = X0 )
| ( ( b @ X1 @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_6
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f25895]) ).
thf(f25920,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ X1 @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( sK1 = X0 )
| ( sK1 = X1 ) )
| ~ spl2_6
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f25893]) ).
thf(f26672,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( X0 = X1 )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ X1 ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_29 ),
inference(constrained_superposition,[],[f573,f102]) ).
thf(f26698,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X1 ) @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true ) )
| ~ spl2_29 ),
inference(duplicate_literal_removal,[],[f26672]) ).
thf(f26699,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X1 ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( X0 = X1 )
| ( sK1 = X0 ) )
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f26698]) ).
thf(f27849,definition,
( spl2_419
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_419])],[avatar_definition]) ).
thf(f27850,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_419 ),
inference(avatar_component_clause,[],[f27849]) ).
thf(f28464,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= sK1 )
| ( $true != $true )
| ( X0 = X1 )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X1 ) )
| ~ spl2_6
| ~ spl2_24 ),
inference(constrained_superposition,[],[f25917,f102]) ).
thf(f28468,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= sK1 )
| ( sK1
= ( sK0 @ X1 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ X1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X1 )
| ( $true != $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true ) )
| ~ spl2_6
| ~ spl2_24 ),
inference(constrained_superposition,[],[f25917,f100]) ).
thf(f28488,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( X0 = X1 )
| ( ( sK0 @ X0 )
= sK1 )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true ) )
| ~ spl2_6
| ~ spl2_24 ),
inference(duplicate_literal_removal,[],[f28464]) ).
thf(f28489,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true ) )
| ~ spl2_6
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f28488]) ).
thf(f28490,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ X1 ) )
| ( sK1
= ( sK0 @ X1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= sK1 )
| ( sK1 = X1 )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true ) )
| ~ spl2_6
| ~ spl2_24 ),
inference(duplicate_literal_removal,[],[f28468]) ).
thf(f28491,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= sK1 )
| ( sK1
= ( sK0 @ X1 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ X1 ) )
| ( sK1 = X1 ) )
| ~ spl2_6
| ~ spl2_24 ),
inference(trivial_inequality_removal,[],[f28490]) ).
thf(f28507,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( sK1 = X1 ) )
| ~ spl2_6
| ~ spl2_24 ),
inference(forward_subsumption_resolution,[],[f28489,f48]) ).
thf(f28508,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ X1 ) )
| ( ( sK0 @ X0 )
= sK1 )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_6
| ~ spl2_24 ),
inference(forward_subsumption_resolution,[],[f28491,f48]) ).
thf(f28510,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ X1 ) )
| ( sK1 = X1 )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_24 ),
inference(forward_subsumption_resolution,[],[f28508,f48]) ).
thf(f28512,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_6
| ~ spl2_24
| spl2_135 ),
inference(constrained_superposition,[],[f9678,f28507]) ).
thf(f28535,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_24
| spl2_135 ),
inference(trivial_inequality_removal,[],[f28512]) ).
thf(f28547,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_6
| ~ spl2_24
| spl2_135 ),
inference(constrained_superposition,[],[f9678,f28510]) ).
thf(f28580,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_24
| spl2_135 ),
inference(trivial_inequality_removal,[],[f28547]) ).
thf(f28585,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_6
| ~ spl2_24
| spl2_135 ),
inference(forward_subsumption_resolution,[],[f28580,f48]) ).
thf(f28598,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_24
| spl2_135 ),
inference(constrained_superposition,[],[f30,f28585]) ).
thf(f28600,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_24
| spl2_135 ),
inference(trivial_inequality_removal,[],[f28598]) ).
thf(f28615,plain,
( spl2_189
| spl2_8
| ~ spl2_6
| ~ spl2_24
| spl2_135 ),
inference(avatar_split_clause,[],[f28600,f6936,f441,f145,f152,f10591]) ).
thf(f29260,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( X0 = X1 )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_6
| ~ spl2_29 ),
inference(constrained_superposition,[],[f26699,f556]) ).
thf(f29265,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= X1 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( sK1 = X1 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_29
| ~ spl2_84 ),
inference(constrained_superposition,[],[f26699,f4649]) ).
thf(f29274,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( $true != $true )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_6
| ~ spl2_29 ),
inference(duplicate_literal_removal,[],[f29260]) ).
thf(f29275,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( sK1 = X1 )
| ( sK1 = X0 )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_6
| ~ spl2_29 ),
inference(trivial_inequality_removal,[],[f29274]) ).
thf(f29296,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( sK0 @ X0 )
= X1 )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_29
| ~ spl2_84 ),
inference(duplicate_literal_removal,[],[f29265]) ).
thf(f29297,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( sK1 = X1 )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= X1 ) )
| ~ spl2_29
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f29296]) ).
thf(f29356,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true != $true )
| ( ( sK0 @ X0 )
= X4 )
| ( sK1 = X4 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ X4 ) @ sK1 ) ) )
| ~ spl2_29
| ~ spl2_84 ),
inference(constrained_superposition,[],[f30,f29297]) ).
thf(f29366,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( sK0 @ X0 )
= X4 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ sK1 )
!= $true )
| ( sK1 = X4 )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
= ( b @ ( sK0 @ X4 ) @ sK1 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_29
| ~ spl2_84 ),
inference(trivial_inequality_removal,[],[f29356]) ).
thf(f29375,plain,
( spl2_191
| spl2_8
| ~ spl2_29
| ~ spl2_84 ),
inference(avatar_split_clause,[],[f29366,f2820,f572,f152,f11036]) ).
thf(f29702,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_3
| ~ spl2_192 ),
inference(constrained_superposition,[],[f11109,f125]) ).
thf(f29720,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_3
| ~ spl2_192 ),
inference(trivial_inequality_removal,[],[f29702]) ).
thf(f30007,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_393 ),
inference(constrained_superposition,[],[f22730,f51]) ).
thf(f30011,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f30007]) ).
thf(f30316,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_170
| ~ spl2_195 ),
inference(constrained_superposition,[],[f11674,f8741]) ).
thf(f30335,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_170
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f30316]) ).
thf(f32202,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| spl2_4
| ~ spl2_309 ),
inference(forward_subsumption_resolution,[],[f23802,f19162]) ).
thf(f32203,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| spl2_4
| spl2_135
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f23965,f19162]) ).
thf(f32209,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_6
| ~ spl2_24
| spl2_135 ),
inference(forward_subsumption_resolution,[],[f28535,f48]) ).
thf(f32232,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| spl2_4
| ~ spl2_309 ),
inference(forward_subsumption_resolution,[],[f32202,f48]) ).
thf(f32233,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| spl2_4
| spl2_135
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f32203,f48]) ).
thf(f32238,plain,
( spl2_128
| ~ spl2_6
| ~ spl2_24
| spl2_135 ),
inference(avatar_split_clause,[],[f32209,f6936,f441,f145,f6892]) ).
thf(f32248,plain,
( spl2_128
| spl2_4
| ~ spl2_309 ),
inference(avatar_split_clause,[],[f32232,f16647,f128,f6892]) ).
thf(f32249,plain,
( spl2_128
| spl2_4
| spl2_135
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f32233,f9861,f6936,f128,f6892]) ).
thf(f33540,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true )
| ( sK1 = X0 )
| ( $true
!= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_246
| ~ spl2_393 ),
inference(constrained_superposition,[],[f14661,f30011]) ).
thf(f33619,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_246
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f33540]) ).
thf(f33678,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_6
| ~ spl2_246
| ~ spl2_393 ),
inference(forward_subsumption_resolution,[],[f33619,f6398]) ).
thf(f33719,definition,
( spl2_495
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_495])],[avatar_definition]) ).
thf(f33720,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_495 ),
inference(avatar_component_clause,[],[f33719]) ).
thf(f33722,plain,
( spl2_495
| ~ spl2_6
| ~ spl2_246
| ~ spl2_393 ),
inference(avatar_split_clause,[],[f33678,f22588,f14660,f145,f33719]) ).
thf(f33910,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ X1 @ X3 ) ) )
| ~ spl2_495 ),
inference(constrained_superposition,[],[f30,f33720]) ).
thf(f33935,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_495 ),
inference(trivial_inequality_removal,[],[f33910]) ).
thf(f33961,definition,
( spl2_499
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_499])],[avatar_definition]) ).
thf(f33962,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X2 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_499 ),
inference(avatar_component_clause,[],[f33961]) ).
thf(f33963,plain,
( spl2_17
| spl2_499
| ~ spl2_495 ),
inference(avatar_split_clause,[],[f33935,f33719,f33961,f348]) ).
thf(f36148,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_393 ),
inference(constrained_superposition,[],[f22731,f73]) ).
thf(f36152,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f36148]) ).
thf(f36873,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_188
| ~ spl2_393 ),
inference(constrained_superposition,[],[f10474,f36152]) ).
thf(f36939,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_188
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f36873]) ).
thf(f36992,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_188
| ~ spl2_284
| ~ spl2_393 ),
inference(forward_subsumption_resolution,[],[f36939,f16286]) ).
thf(f37695,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X1 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_59
| ~ spl2_188
| ~ spl2_284
| ~ spl2_393 ),
inference(constrained_superposition,[],[f2081,f36992]) ).
thf(f37736,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X1 )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_59
| ~ spl2_188
| ~ spl2_284
| ~ spl2_393 ),
inference(trivial_inequality_removal,[],[f37695]) ).
thf(f37788,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X1 ) )
| ~ spl2_59
| ~ spl2_188
| ~ spl2_284
| ~ spl2_393
| ~ spl2_399 ),
inference(forward_subsumption_resolution,[],[f37736,f22967]) ).
thf(f38745,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f26,f5979]) ).
thf(f38749,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( r @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f38745]) ).
thf(f38773,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_253 ),
inference(constrained_superposition,[],[f38749,f14726]) ).
thf(f38783,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_253 ),
inference(trivial_inequality_removal,[],[f38773]) ).
thf(f40239,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ sK1 ) )
| spl2_255 ),
inference(avatar_component_clause,[],[f14742]) ).
thf(f40265,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_267 ),
inference(avatar_component_clause,[],[f15277]) ).
thf(f40324,definition,
( spl2_560
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_560])],[avatar_definition]) ).
thf(f40325,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_560 ),
inference(avatar_component_clause,[],[f40324]) ).
thf(f40327,definition,
( spl2_561
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_561])],[avatar_definition]) ).
thf(f40328,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_561 ),
inference(avatar_component_clause,[],[f40327]) ).
thf(f40331,definition,
( spl2_562
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_562])],[avatar_definition]) ).
thf(f40332,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_562 ),
inference(avatar_component_clause,[],[f40331]) ).
thf(f40334,definition,
( spl2_563
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_563])],[avatar_definition]) ).
thf(f40335,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_563 ),
inference(avatar_component_clause,[],[f40334]) ).
thf(f40357,definition,
( spl2_564
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_564])],[avatar_definition]) ).
thf(f40358,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_564 ),
inference(avatar_component_clause,[],[f40357]) ).
thf(f40360,definition,
( spl2_565
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_565])],[avatar_definition]) ).
thf(f40361,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_565 ),
inference(avatar_component_clause,[],[f40360]) ).
thf(f40411,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_201
| ~ spl2_560 ),
inference(constrained_superposition,[],[f12244,f40325]) ).
thf(f40423,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_173
| ~ spl2_560 ),
inference(constrained_superposition,[],[f8911,f40325]) ).
thf(f40450,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_173
| ~ spl2_560 ),
inference(trivial_inequality_removal,[],[f40423]) ).
thf(f40489,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_201
| ~ spl2_560 ),
inference(trivial_inequality_removal,[],[f40411]) ).
thf(f40515,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_173
| ~ spl2_284
| ~ spl2_560 ),
inference(forward_subsumption_resolution,[],[f40450,f16286]) ).
thf(f40542,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_201
| ~ spl2_284
| ~ spl2_560 ),
inference(forward_subsumption_resolution,[],[f40489,f16286]) ).
thf(f40556,definition,
( spl2_569
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_569])],[avatar_definition]) ).
thf(f40557,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_569 ),
inference(avatar_component_clause,[],[f40556]) ).
thf(f40558,plain,
( spl2_569
| spl2_270
| ~ spl2_173
| ~ spl2_284
| ~ spl2_560 ),
inference(avatar_split_clause,[],[f40515,f40324,f16285,f8910,f15591,f40556]) ).
thf(f40573,definition,
( spl2_570
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_570])],[avatar_definition]) ).
thf(f40574,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_570 ),
inference(avatar_component_clause,[],[f40573]) ).
thf(f40583,plain,
( $false
| ~ spl2_201
| ~ spl2_284
| ~ spl2_560 ),
inference(forward_subsumption_resolution,[],[f40542,f48]) ).
thf(f40584,plain,
( ~ spl2_201
| ~ spl2_284
| ~ spl2_560 ),
inference(avatar_contradiction_clause,[],[f40583]) ).
thf(f40620,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_561 ),
inference(constrained_superposition,[],[f38749,f40328]) ).
thf(f40621,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_561 ),
inference(constrained_superposition,[],[f6708,f40328]) ).
thf(f40622,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_561 ),
inference(constrained_superposition,[],[f2812,f40328]) ).
thf(f40623,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_561 ),
inference(constrained_superposition,[],[f109,f40328]) ).
thf(f40626,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_561 ),
inference(constrained_superposition,[],[f62,f40328]) ).
thf(f40634,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_561 ),
inference(trivial_inequality_removal,[],[f40620]) ).
thf(f40635,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_561 ),
inference(trivial_inequality_removal,[],[f40623]) ).
thf(f40642,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_561 ),
inference(trivial_inequality_removal,[],[f40626]) ).
thf(f40644,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_561 ),
inference(trivial_inequality_removal,[],[f40622]) ).
thf(f40646,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_561 ),
inference(trivial_inequality_removal,[],[f40621]) ).
thf(f40647,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_259
| ~ spl2_561 ),
inference(forward_subsumption_resolution,[],[f40635,f15233]) ).
thf(f40652,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_259
| ~ spl2_561 ),
inference(constrained_superposition,[],[f40647,f73]) ).
thf(f40656,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_259
| ~ spl2_561 ),
inference(trivial_inequality_removal,[],[f40652]) ).
thf(f40659,definition,
( spl2_571
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_571])],[avatar_definition]) ).
thf(f40660,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_571 ),
inference(avatar_component_clause,[],[f40659]) ).
thf(f40662,plain,
( spl2_571
| spl2_259
| ~ spl2_561 ),
inference(avatar_split_clause,[],[f40656,f40327,f15232,f40659]) ).
thf(f40764,definition,
( spl2_572
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_572])],[avatar_definition]) ).
thf(f40765,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_572 ),
inference(avatar_component_clause,[],[f40764]) ).
thf(f40877,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_201
| ~ spl2_562 ),
inference(constrained_superposition,[],[f12244,f40332]) ).
thf(f40883,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_173
| ~ spl2_562 ),
inference(constrained_superposition,[],[f8911,f40332]) ).
thf(f40920,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_201
| ~ spl2_562 ),
inference(trivial_inequality_removal,[],[f40877]) ).
thf(f40958,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_173
| ~ spl2_562 ),
inference(trivial_inequality_removal,[],[f40883]) ).
thf(f40985,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_201
| ~ spl2_562 ),
inference(forward_subsumption_resolution,[],[f40920,f48]) ).
thf(f41008,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_173
| ~ spl2_223
| ~ spl2_562 ),
inference(forward_subsumption_resolution,[],[f40958,f13375]) ).
thf(f41031,plain,
( $false
| ~ spl2_201
| ~ spl2_223
| ~ spl2_562 ),
inference(forward_subsumption_resolution,[],[f40985,f13375]) ).
thf(f41032,plain,
( ~ spl2_201
| ~ spl2_223
| ~ spl2_562 ),
inference(avatar_contradiction_clause,[],[f41031]) ).
thf(f41044,definition,
( spl2_577
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_577])],[avatar_definition]) ).
thf(f41045,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_577 ),
inference(avatar_component_clause,[],[f41044]) ).
thf(f41056,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| spl2_122
| ~ spl2_173
| ~ spl2_223
| ~ spl2_562 ),
inference(forward_subsumption_resolution,[],[f41008,f14443]) ).
thf(f41092,plain,
( $false
| spl2_122
| ~ spl2_173
| ~ spl2_223
| spl2_255
| ~ spl2_562 ),
inference(forward_subsumption_resolution,[],[f41056,f40239]) ).
thf(f41093,plain,
( spl2_122
| ~ spl2_173
| ~ spl2_223
| spl2_255
| ~ spl2_562 ),
inference(avatar_contradiction_clause,[],[f41092]) ).
thf(f41119,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_563 ),
inference(constrained_superposition,[],[f6708,f40335]) ).
thf(f41120,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_563 ),
inference(constrained_superposition,[],[f2812,f40335]) ).
thf(f41135,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_563 ),
inference(trivial_inequality_removal,[],[f41120]) ).
thf(f41144,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_563 ),
inference(trivial_inequality_removal,[],[f41119]) ).
thf(f41212,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_173
| ~ spl2_564 ),
inference(constrained_superposition,[],[f8911,f40358]) ).
thf(f41222,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_499
| ~ spl2_564 ),
inference(constrained_superposition,[],[f33962,f40358]) ).
thf(f41234,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_499
| ~ spl2_564 ),
inference(trivial_inequality_removal,[],[f41222]) ).
thf(f41239,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_173
| ~ spl2_564 ),
inference(trivial_inequality_removal,[],[f41212]) ).
thf(f41324,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_267
| ~ spl2_499
| ~ spl2_564 ),
inference(forward_subsumption_resolution,[],[f41234,f40265]) ).
thf(f41329,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_173
| spl2_255
| ~ spl2_564 ),
inference(forward_subsumption_resolution,[],[f41239,f40239]) ).
thf(f41385,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_267
| ~ spl2_499
| ~ spl2_564
| ~ spl2_571 ),
inference(forward_subsumption_resolution,[],[f41324,f40660]) ).
thf(f41390,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_173
| spl2_255
| ~ spl2_314
| ~ spl2_564 ),
inference(forward_subsumption_resolution,[],[f41329,f16711]) ).
thf(f41443,definition,
( spl2_580
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_580])],[avatar_definition]) ).
thf(f41444,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_580 ),
inference(avatar_component_clause,[],[f41443]) ).
thf(f41449,plain,
( $false
| spl2_267
| ~ spl2_499
| ~ spl2_564
| ~ spl2_571 ),
inference(forward_subsumption_resolution,[],[f41385,f48]) ).
thf(f41450,plain,
( spl2_267
| ~ spl2_499
| ~ spl2_564
| ~ spl2_571 ),
inference(avatar_contradiction_clause,[],[f41449]) ).
thf(f41453,plain,
( spl2_270
| ~ spl2_173
| spl2_255
| ~ spl2_314
| ~ spl2_564 ),
inference(avatar_split_clause,[],[f41390,f40357,f16710,f14742,f8910,f15591]) ).
thf(f41486,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_565 ),
inference(constrained_superposition,[],[f38749,f40361]) ).
thf(f41487,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_565 ),
inference(constrained_superposition,[],[f6708,f40361]) ).
thf(f41488,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_565 ),
inference(constrained_superposition,[],[f2812,f40361]) ).
thf(f41502,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_565 ),
inference(trivial_inequality_removal,[],[f41487]) ).
thf(f41507,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_565 ),
inference(trivial_inequality_removal,[],[f41486]) ).
thf(f41510,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_565 ),
inference(trivial_inequality_removal,[],[f41488]) ).
thf(f41513,definition,
( spl2_581
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_581])],[avatar_definition]) ).
thf(f41514,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_581 ),
inference(avatar_component_clause,[],[f41513]) ).
thf(f41515,plain,
( ~ spl2_273
| spl2_581
| ~ spl2_565 ),
inference(avatar_split_clause,[],[f41502,f40360,f41513,f15941]) ).
thf(f41517,definition,
( spl2_582
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_582])],[avatar_definition]) ).
thf(f41518,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_582 ),
inference(avatar_component_clause,[],[f41517]) ).
thf(f41519,plain,
( spl2_582
| ~ spl2_273
| ~ spl2_565 ),
inference(avatar_split_clause,[],[f41507,f40360,f15941,f41517]) ).
thf(f41545,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_59
| ~ spl2_188
| ~ spl2_284
| ~ spl2_393
| ~ spl2_399
| ~ spl2_581 ),
inference(constrained_superposition,[],[f37788,f41514]) ).
thf(f41558,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_123
| ~ spl2_581 ),
inference(constrained_superposition,[],[f6787,f41514]) ).
thf(f41563,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ~ spl2_29
| ~ spl2_581 ),
inference(constrained_superposition,[],[f573,f41514]) ).
thf(f41594,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_29
| ~ spl2_581 ),
inference(trivial_inequality_removal,[],[f41563]) ).
thf(f41611,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_59
| ~ spl2_188
| ~ spl2_284
| ~ spl2_393
| ~ spl2_399
| ~ spl2_581 ),
inference(trivial_inequality_removal,[],[f41545]) ).
thf(f41613,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_123
| ~ spl2_581 ),
inference(trivial_inequality_removal,[],[f41558]) ).
thf(f41640,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_29
| ~ spl2_581 ),
inference(forward_subsumption_resolution,[],[f41594,f48]) ).
thf(f41644,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_59
| ~ spl2_188
| ~ spl2_284
| ~ spl2_393
| ~ spl2_399
| ~ spl2_581 ),
inference(forward_subsumption_resolution,[],[f41611,f42]) ).
thf(f41647,plain,
( $false
| ~ spl2_123
| ~ spl2_571
| ~ spl2_581 ),
inference(forward_subsumption_resolution,[],[f41613,f40660]) ).
thf(f41648,plain,
( ~ spl2_123
| ~ spl2_571
| ~ spl2_581 ),
inference(avatar_contradiction_clause,[],[f41647]) ).
thf(f41673,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_29
| ~ spl2_571
| ~ spl2_581 ),
inference(forward_subsumption_resolution,[],[f41640,f40660]) ).
thf(f41677,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_59
| spl2_122
| ~ spl2_188
| ~ spl2_284
| ~ spl2_393
| ~ spl2_399
| ~ spl2_581 ),
inference(forward_subsumption_resolution,[],[f41644,f14443]) ).
thf(f41696,plain,
( $false
| ~ spl2_29
| spl2_135
| ~ spl2_571
| ~ spl2_581 ),
inference(forward_subsumption_resolution,[],[f41673,f9678]) ).
thf(f41697,plain,
( ~ spl2_29
| spl2_135
| ~ spl2_571
| ~ spl2_581 ),
inference(avatar_contradiction_clause,[],[f41696]) ).
thf(f41701,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_59
| spl2_122
| ~ spl2_188
| ~ spl2_284
| ~ spl2_393
| ~ spl2_399
| ~ spl2_581 ),
inference(forward_subsumption_resolution,[],[f41677,f48]) ).
thf(f41718,plain,
( spl2_570
| ~ spl2_59
| spl2_122
| ~ spl2_188
| ~ spl2_284
| ~ spl2_393
| ~ spl2_399
| ~ spl2_581 ),
inference(avatar_split_clause,[],[f41701,f41513,f22966,f22588,f16285,f10473,f6740,f2080,f40573]) ).
thf(f41729,plain,
( ~ spl2_276
| spl2_275
| ~ spl2_253 ),
inference(avatar_split_clause,[],[f19706,f14725,f15962,f15967]) ).
thf(f41731,definition,
( spl2_584
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_584])],[avatar_definition]) ).
thf(f41732,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_584 ),
inference(avatar_component_clause,[],[f41731]) ).
thf(f41733,plain,
( spl2_266
| ~ spl2_584
| ~ spl2_561 ),
inference(avatar_split_clause,[],[f40646,f40327,f41731,f15268]) ).
thf(f41734,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_274 ),
inference(avatar_component_clause,[],[f15946]) ).
thf(f41735,plain,
( ~ spl2_274
| spl2_280
| ~ spl2_249 ),
inference(avatar_split_clause,[],[f20627,f14710,f16214,f15946]) ).
thf(f41737,definition,
( spl2_585
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_585])],[avatar_definition]) ).
thf(f41738,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_585 ),
inference(avatar_component_clause,[],[f41737]) ).
thf(f41739,plain,
( ~ spl2_585
| spl2_260
| ~ spl2_561 ),
inference(avatar_split_clause,[],[f40644,f40327,f15237,f41737]) ).
thf(f41741,plain,
( spl2_259
| ~ spl2_585
| ~ spl2_561 ),
inference(avatar_split_clause,[],[f40635,f40327,f41737,f15232]) ).
thf(f41755,plain,
( spl2_581
| ~ spl2_248
| ~ spl2_563 ),
inference(avatar_split_clause,[],[f41144,f40334,f14706,f41513]) ).
thf(f41758,plain,
( spl2_243
| ~ spl2_584
| ~ spl2_561 ),
inference(avatar_split_clause,[],[f40634,f40327,f41731,f14650]) ).
thf(f41760,plain,
( spl2_264
| ~ spl2_248
| ~ spl2_253 ),
inference(avatar_split_clause,[],[f38783,f14725,f14706,f15259]) ).
thf(f41766,plain,
( spl2_275
| spl2_353 ),
inference(avatar_split_clause,[],[f19781,f19739,f15962]) ).
thf(f41771,plain,
( spl2_571
| ~ spl2_276
| ~ spl2_563 ),
inference(avatar_split_clause,[],[f41135,f40334,f15967,f40659]) ).
thf(f41773,plain,
( spl2_259
| ~ spl2_353
| ~ spl2_249 ),
inference(avatar_split_clause,[],[f19586,f14710,f19739,f15232]) ).
thf(f41774,plain,
( ~ spl2_353
| spl2_571
| ~ spl2_565 ),
inference(avatar_split_clause,[],[f41510,f40360,f40659,f19739]) ).
thf(f41825,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_122
| ~ spl2_301
| ~ spl2_323 ),
inference(forward_subsumption_resolution,[],[f25059,f14443]) ).
thf(f41893,plain,
( ~ spl2_135
| spl2_122
| ~ spl2_301
| ~ spl2_323 ),
inference(avatar_split_clause,[],[f41825,f17663,f16500,f6740,f6936]) ).
thf(f41917,definition,
( spl2_604
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_604])],[avatar_definition]) ).
thf(f41918,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_604 ),
inference(avatar_component_clause,[],[f41917]) ).
thf(f41919,plain,
( ~ spl2_604
| spl2_281
| ~ spl2_561 ),
inference(avatar_split_clause,[],[f40642,f40327,f16248,f41917]) ).
thf(f41920,plain,
( spl2_266
| spl2_135
| spl2_281
| spl2_122 ),
inference(avatar_split_clause,[],[f18597,f6740,f16248,f6936,f15268]) ).
thf(f42007,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_267
| ~ spl2_334 ),
inference(constrained_superposition,[],[f18377,f15278]) ).
thf(f42050,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_267
| ~ spl2_301 ),
inference(constrained_superposition,[],[f16501,f15278]) ).
thf(f42150,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_267
| ~ spl2_306 ),
inference(constrained_superposition,[],[f16607,f15278]) ).
thf(f42168,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_267
| ~ spl2_306 ),
inference(constrained_superposition,[],[f23759,f15278]) ).
thf(f42221,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_267
| ~ spl2_306 ),
inference(duplicate_literal_removal,[],[f42168]) ).
thf(f42231,plain,
( spl2_281
| ~ spl2_267
| ~ spl2_334 ),
inference(avatar_split_clause,[],[f42007,f18376,f15277,f16248]) ).
thf(f42242,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| spl2_141
| ~ spl2_267
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f42221,f6973]) ).
thf(f42257,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_122
| ~ spl2_267
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f42150,f14443]) ).
thf(f42274,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_122
| ~ spl2_267
| ~ spl2_301 ),
inference(forward_subsumption_resolution,[],[f42050,f14443]) ).
thf(f42286,plain,
( $false
| ~ spl2_6
| spl2_122
| spl2_141
| ~ spl2_267
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f42242,f14443]) ).
thf(f42287,plain,
( ~ spl2_6
| spl2_122
| spl2_141
| ~ spl2_267
| ~ spl2_306 ),
inference(avatar_contradiction_clause,[],[f42286]) ).
thf(f42296,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_122
| spl2_141
| ~ spl2_267
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f42257,f6973]) ).
thf(f42306,plain,
( $false
| spl2_122
| spl2_141
| ~ spl2_267
| ~ spl2_301 ),
inference(forward_subsumption_resolution,[],[f42274,f6973]) ).
thf(f42307,plain,
( spl2_122
| spl2_141
| ~ spl2_267
| ~ spl2_301 ),
inference(avatar_contradiction_clause,[],[f42306]) ).
thf(f42315,plain,
( $false
| ~ spl2_121
| spl2_122
| spl2_141
| ~ spl2_267
| ~ spl2_306 ),
inference(forward_subsumption_resolution,[],[f42296,f6738]) ).
thf(f42316,plain,
( ~ spl2_121
| spl2_122
| spl2_141
| ~ spl2_267
| ~ spl2_306 ),
inference(avatar_contradiction_clause,[],[f42315]) ).
thf(f42325,plain,
( spl2_309
| ~ spl2_170
| ~ spl2_195 ),
inference(avatar_split_clause,[],[f30335,f11673,f8740,f16647]) ).
thf(f42327,definition,
( spl2_610
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_610])],[avatar_definition]) ).
thf(f42328,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_610 ),
inference(avatar_component_clause,[],[f42327]) ).
thf(f42409,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_117
| ~ spl2_121
| ~ spl2_137 ),
inference(forward_subsumption_resolution,[],[f25010,f6738]) ).
thf(f42474,plain,
( spl2_143
| ~ spl2_117
| ~ spl2_121
| ~ spl2_137 ),
inference(avatar_split_clause,[],[f42409,f6943,f6737,f6434,f7024]) ).
thf(f42516,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ X0 ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_84
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f23573,f48]) ).
thf(f42517,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ X0 )
= sK1 ) )
| spl2_4
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f23579,f19162]) ).
thf(f42578,plain,
( spl2_133
| ~ spl2_6
| ~ spl2_305 ),
inference(avatar_split_clause,[],[f23539,f16601,f145,f6928]) ).
thf(f42614,plain,
( spl2_297
| ~ spl2_84
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f42516,f16624,f2820,f16443]) ).
thf(f42615,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| spl2_4
| ~ spl2_308 ),
inference(forward_subsumption_resolution,[],[f42517,f48]) ).
thf(f42670,plain,
( spl2_312
| spl2_4
| ~ spl2_308 ),
inference(avatar_split_clause,[],[f42615,f16624,f128,f16691]) ).
thf(f42722,plain,
( spl2_141
| spl2_308
| ~ spl2_3
| ~ spl2_192 ),
inference(avatar_split_clause,[],[f29720,f11108,f124,f16624,f6972]) ).
thf(f42970,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_570 ),
inference(constrained_superposition,[],[f5978,f40574]) ).
thf(f43156,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_160
| ~ spl2_570 ),
inference(forward_subsumption_resolution,[],[f42970,f7944]) ).
thf(f43183,plain,
( $false
| spl2_125
| spl2_160
| ~ spl2_570 ),
inference(forward_subsumption_resolution,[],[f43156,f6815]) ).
thf(f43184,plain,
( spl2_125
| spl2_160
| ~ spl2_570 ),
inference(avatar_contradiction_clause,[],[f43183]) ).
thf(f43434,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_274 ),
inference(constrained_superposition,[],[f41734,f5978]) ).
thf(f43436,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_274 ),
inference(constrained_superposition,[],[f41734,f51]) ).
thf(f43439,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_274 ),
inference(trivial_inequality_removal,[],[f43436]) ).
thf(f43441,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_274 ),
inference(trivial_inequality_removal,[],[f43434]) ).
thf(f43443,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_122
| spl2_274 ),
inference(forward_subsumption_resolution,[],[f43439,f14443]) ).
thf(f43445,plain,
( spl2_266
| spl2_274 ),
inference(avatar_split_clause,[],[f43441,f15946,f15268]) ).
thf(f43447,plain,
( spl2_266
| spl2_122
| spl2_274 ),
inference(avatar_split_clause,[],[f43443,f15946,f6740,f15268]) ).
thf(f43468,plain,
( ( $true != $true )
| ~ spl2_5
| ~ spl2_141 ),
inference(constrained_superposition,[],[f143,f6977]) ).
thf(f43484,plain,
( $false
| ~ spl2_5
| ~ spl2_141 ),
inference(trivial_inequality_removal,[],[f43468]) ).
thf(f43485,plain,
( ~ spl2_5
| ~ spl2_141 ),
inference(avatar_contradiction_clause,[],[f43484]) ).
thf(f43633,definition,
( spl2_635
<=> ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_635])],[avatar_definition]) ).
thf(f43634,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_635 ),
inference(avatar_component_clause,[],[f43633]) ).
thf(f43657,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_274 ),
inference(constrained_superposition,[],[f6708,f15947]) ).
thf(f43668,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_274 ),
inference(constrained_superposition,[],[f26,f15947]) ).
thf(f43671,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f43668]) ).
thf(f43674,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f43657]) ).
thf(f43682,plain,
( spl2_251
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f43671,f15946,f14717]) ).
thf(f43683,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_604 ),
inference(constrained_superposition,[],[f41918,f50]) ).
thf(f43685,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_604 ),
inference(trivial_inequality_removal,[],[f43683]) ).
thf(f43707,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true ) )
| spl2_604 ),
inference(constrained_superposition,[],[f30,f43685]) ).
thf(f43726,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true ) )
| spl2_604 ),
inference(trivial_inequality_removal,[],[f43707]) ).
thf(f43730,definition,
( spl2_636
<=> ! [X1: $i] :
( ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_636])],[avatar_definition]) ).
thf(f43731,plain,
( ! [X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_636 ),
inference(avatar_component_clause,[],[f43730]) ).
thf(f43732,plain,
( spl2_636
| spl2_8
| spl2_604 ),
inference(avatar_split_clause,[],[f43726,f41917,f152,f43730]) ).
thf(f43763,plain,
( $false
| ~ spl2_12
| spl2_259 ),
inference(forward_subsumption_resolution,[],[f15233,f201]) ).
thf(f43764,plain,
( ~ spl2_12
| spl2_259 ),
inference(avatar_contradiction_clause,[],[f43763]) ).
thf(f43784,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_84
| ~ spl2_569 ),
inference(constrained_superposition,[],[f4649,f40557]) ).
thf(f43785,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_569 ),
inference(constrained_superposition,[],[f5978,f40557]) ).
thf(f43853,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| ~ spl2_569 ),
inference(constrained_superposition,[],[f4661,f40557]) ).
thf(f43933,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| spl2_14
| ~ spl2_569 ),
inference(forward_subsumption_resolution,[],[f43853,f256]) ).
thf(f43961,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_14
| ~ spl2_84
| ~ spl2_569 ),
inference(forward_subsumption_resolution,[],[f43784,f256]) ).
thf(f43994,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_160
| ~ spl2_569 ),
inference(forward_subsumption_resolution,[],[f43785,f7944]) ).
thf(f44010,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_6
| spl2_14
| ~ spl2_569 ),
inference(forward_subsumption_resolution,[],[f43933,f48]) ).
thf(f44037,plain,
( $false
| spl2_4
| spl2_14
| ~ spl2_84
| ~ spl2_569 ),
inference(forward_subsumption_resolution,[],[f43961,f19162]) ).
thf(f44038,plain,
( spl2_4
| spl2_14
| ~ spl2_84
| ~ spl2_569 ),
inference(avatar_contradiction_clause,[],[f44037]) ).
thf(f44065,plain,
( $false
| spl2_125
| spl2_160
| ~ spl2_569 ),
inference(forward_subsumption_resolution,[],[f43994,f6815]) ).
thf(f44066,plain,
( spl2_125
| spl2_160
| ~ spl2_569 ),
inference(avatar_contradiction_clause,[],[f44065]) ).
thf(f44075,plain,
( $false
| ~ spl2_6
| spl2_14
| ~ spl2_569 ),
inference(forward_subsumption_resolution,[],[f44010,f146]) ).
thf(f44076,plain,
( ~ spl2_6
| spl2_14
| ~ spl2_569 ),
inference(avatar_contradiction_clause,[],[f44075]) ).
thf(f44131,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_16
| ~ spl2_260 ),
inference(constrained_superposition,[],[f346,f17585]) ).
thf(f44148,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_16
| ~ spl2_260 ),
inference(trivial_inequality_removal,[],[f44131]) ).
thf(f44511,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_585 ),
inference(constrained_superposition,[],[f41738,f73]) ).
thf(f44515,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_585 ),
inference(trivial_inequality_removal,[],[f44511]) ).
thf(f44518,plain,
( spl2_571
| spl2_585 ),
inference(avatar_split_clause,[],[f44515,f41737,f40659]) ).
thf(f44640,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_3
| ~ spl2_183 ),
inference(constrained_superposition,[],[f9862,f125]) ).
thf(f44662,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_3
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f44640]) ).
thf(f44670,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_19
| ~ spl2_250 ),
inference(constrained_superposition,[],[f357,f14714]) ).
thf(f44714,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_19
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f44670]) ).
thf(f45119,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_252
| ~ spl2_317 ),
inference(constrained_superposition,[],[f17311,f14723]) ).
thf(f45157,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_252
| ~ spl2_317 ),
inference(trivial_inequality_removal,[],[f45119]) ).
thf(f45189,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_610 ),
inference(avatar_component_clause,[],[f42327]) ).
thf(f45195,plain,
( ~ spl2_610
| ~ spl2_252
| ~ spl2_317 ),
inference(avatar_split_clause,[],[f45157,f17310,f14722,f42327]) ).
thf(f45229,definition,
( spl2_640
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_640])],[avatar_definition]) ).
thf(f45230,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( sK1 = X0 ) )
| ~ spl2_640 ),
inference(avatar_component_clause,[],[f45229]) ).
thf(f45231,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_284 ),
inference(avatar_component_clause,[],[f16285]) ).
thf(f45238,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_275 ),
inference(avatar_component_clause,[],[f15962]) ).
thf(f45276,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_352 ),
inference(avatar_component_clause,[],[f19718]) ).
thf(f45277,plain,
( spl2_284
| ~ spl2_352
| ~ spl2_19
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f44714,f14713,f356,f19718,f16285]) ).
thf(f45278,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ~ spl2_200
| spl2_284 ),
inference(constrained_superposition,[],[f45231,f12201]) ).
thf(f45296,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true != $true ) )
| ~ spl2_6
| ~ spl2_29
| spl2_284 ),
inference(constrained_superposition,[],[f45231,f29275]) ).
thf(f45308,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_6
| ~ spl2_29
| spl2_284 ),
inference(trivial_inequality_removal,[],[f45296]) ).
thf(f45314,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_200
| spl2_284 ),
inference(trivial_inequality_removal,[],[f45278]) ).
thf(f45327,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_6
| ~ spl2_29
| spl2_284 ),
inference(forward_subsumption_resolution,[],[f45308,f48]) ).
thf(f45333,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_200
| spl2_284 ),
inference(forward_subsumption_resolution,[],[f45314,f48]) ).
thf(f45339,plain,
( spl2_290
| ~ spl2_6
| ~ spl2_29
| spl2_284 ),
inference(avatar_split_clause,[],[f45327,f16285,f572,f145,f16387]) ).
thf(f45344,plain,
( $false
| ~ spl2_200
| spl2_255
| spl2_284 ),
inference(forward_subsumption_resolution,[],[f45333,f40239]) ).
thf(f45345,plain,
( ~ spl2_200
| spl2_255
| spl2_284 ),
inference(avatar_contradiction_clause,[],[f45344]) ).
thf(f45364,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_610 ),
inference(constrained_superposition,[],[f30,f42328]) ).
thf(f45366,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl2_610 ),
inference(trivial_inequality_removal,[],[f45364]) ).
thf(f45374,plain,
( spl2_8
| spl2_635
| ~ spl2_610 ),
inference(avatar_split_clause,[],[f45366,f42327,f43633,f152]) ).
thf(f45383,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| spl2_275 ),
inference(constrained_superposition,[],[f45238,f102]) ).
thf(f45402,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_275 ),
inference(trivial_inequality_removal,[],[f45383]) ).
thf(f45419,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| spl2_352 ),
inference(constrained_superposition,[],[f45276,f4682]) ).
thf(f45430,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_352 ),
inference(trivial_inequality_removal,[],[f45419]) ).
thf(f45470,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_29
| ~ spl2_582 ),
inference(constrained_superposition,[],[f573,f41518]) ).
thf(f45506,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_29
| ~ spl2_582 ),
inference(trivial_inequality_removal,[],[f45470]) ).
thf(f45527,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_29
| ~ spl2_582 ),
inference(forward_subsumption_resolution,[],[f45506,f48]) ).
thf(f45536,definition,
( spl2_647
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_647])],[avatar_definition]) ).
thf(f45537,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_647 ),
inference(avatar_component_clause,[],[f45536]) ).
thf(f45545,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_29
| ~ spl2_121
| ~ spl2_582 ),
inference(forward_subsumption_resolution,[],[f45527,f6738]) ).
thf(f45549,plain,
( spl2_647
| ~ spl2_29
| ~ spl2_121
| ~ spl2_582 ),
inference(avatar_split_clause,[],[f45545,f41517,f6737,f572,f45536]) ).
thf(f45551,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_584 ),
inference(constrained_superposition,[],[f41732,f5979]) ).
thf(f45555,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_584 ),
inference(trivial_inequality_removal,[],[f45551]) ).
thf(f45559,plain,
( spl2_582
| spl2_584 ),
inference(avatar_split_clause,[],[f45555,f41731,f41517]) ).
thf(f45617,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_260
| ~ spl2_322 ),
inference(constrained_superposition,[],[f17617,f17585]) ).
thf(f45633,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_322 ),
inference(constrained_superposition,[],[f17617,f4682]) ).
thf(f45657,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_322 ),
inference(trivial_inequality_removal,[],[f45633]) ).
thf(f45668,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_260
| ~ spl2_322 ),
inference(trivial_inequality_removal,[],[f45617]) ).
thf(f45861,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_6
| ~ spl2_24
| ~ spl2_560 ),
inference(constrained_superposition,[],[f25920,f40325]) ).
thf(f45862,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_16
| ~ spl2_560 ),
inference(constrained_superposition,[],[f346,f40325]) ).
thf(f45866,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_82
| ~ spl2_560 ),
inference(constrained_superposition,[],[f2771,f40325]) ).
thf(f45876,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_6
| ~ spl2_24
| ~ spl2_560 ),
inference(constrained_superposition,[],[f25915,f40325]) ).
thf(f45883,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_16
| ~ spl2_560 ),
inference(trivial_inequality_removal,[],[f45862]) ).
thf(f45886,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_82
| ~ spl2_560 ),
inference(trivial_inequality_removal,[],[f45866]) ).
thf(f45889,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_6
| ~ spl2_24
| ~ spl2_560 ),
inference(trivial_inequality_removal,[],[f45876]) ).
thf(f45896,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_6
| ~ spl2_24
| ~ spl2_560 ),
inference(trivial_inequality_removal,[],[f45861]) ).
thf(f45905,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_16
| ~ spl2_260
| ~ spl2_560 ),
inference(forward_subsumption_resolution,[],[f45883,f17585]) ).
thf(f45908,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_82
| ~ spl2_260
| ~ spl2_560 ),
inference(forward_subsumption_resolution,[],[f45886,f17585]) ).
thf(f45911,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_6
| ~ spl2_24
| spl2_255
| ~ spl2_560 ),
inference(forward_subsumption_resolution,[],[f45889,f40239]) ).
thf(f45917,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_6
| ~ spl2_24
| ~ spl2_560 ),
inference(forward_subsumption_resolution,[],[f45896,f48]) ).
thf(f45923,plain,
( spl2_647
| ~ spl2_16
| ~ spl2_260
| ~ spl2_560 ),
inference(avatar_split_clause,[],[f45905,f40324,f15237,f345,f45536]) ).
thf(f45924,plain,
( spl2_569
| spl2_647
| ~ spl2_82
| ~ spl2_260
| ~ spl2_560 ),
inference(avatar_split_clause,[],[f45908,f40324,f15237,f2770,f45536,f40556]) ).
thf(f45927,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_6
| ~ spl2_24
| spl2_255
| spl2_284
| ~ spl2_560 ),
inference(forward_subsumption_resolution,[],[f45911,f45231]) ).
thf(f45933,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_6
| ~ spl2_24
| ~ spl2_560 ),
inference(forward_subsumption_resolution,[],[f45917,f48]) ).
thf(f45941,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_6
| ~ spl2_24
| spl2_255
| spl2_284
| ~ spl2_560 ),
inference(forward_subsumption_resolution,[],[f45927,f48]) ).
thf(f45947,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_6
| ~ spl2_24
| spl2_281
| ~ spl2_560 ),
inference(forward_subsumption_resolution,[],[f45933,f16311]) ).
thf(f45951,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_6
| ~ spl2_24
| spl2_255
| spl2_284
| ~ spl2_560 ),
inference(forward_subsumption_resolution,[],[f45941,f48]) ).
thf(f45955,plain,
( spl2_647
| spl2_569
| ~ spl2_6
| ~ spl2_24
| spl2_281
| ~ spl2_560 ),
inference(avatar_split_clause,[],[f45947,f40324,f16248,f441,f145,f40556,f45536]) ).
thf(f45958,plain,
( spl2_569
| spl2_647
| ~ spl2_6
| ~ spl2_24
| spl2_255
| spl2_284
| ~ spl2_560 ),
inference(avatar_split_clause,[],[f45951,f40324,f16285,f14742,f441,f145,f45536,f40556]) ).
thf(f46014,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_24
| ~ spl2_84
| ~ spl2_562 ),
inference(constrained_superposition,[],[f25911,f40332]) ).
thf(f46020,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_16
| ~ spl2_562 ),
inference(constrained_superposition,[],[f346,f40332]) ).
thf(f46050,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_16
| ~ spl2_562 ),
inference(trivial_inequality_removal,[],[f46020]) ).
thf(f46054,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_24
| ~ spl2_84
| ~ spl2_562 ),
inference(trivial_inequality_removal,[],[f46014]) ).
thf(f46521,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_383
| ~ spl2_564 ),
inference(constrained_superposition,[],[f21821,f40358]) ).
thf(f46529,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_564
| ~ spl2_635 ),
inference(constrained_superposition,[],[f43634,f40358]) ).
thf(f46530,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_16
| ~ spl2_564 ),
inference(constrained_superposition,[],[f346,f40358]) ).
thf(f46531,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_191
| ~ spl2_564 ),
inference(constrained_superposition,[],[f11037,f40358]) ).
thf(f46549,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_16
| ~ spl2_564 ),
inference(trivial_inequality_removal,[],[f46530]) ).
thf(f46555,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_383
| ~ spl2_564 ),
inference(trivial_inequality_removal,[],[f46521]) ).
thf(f46557,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_191
| ~ spl2_564 ),
inference(trivial_inequality_removal,[],[f46531]) ).
thf(f46561,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_564
| ~ spl2_635 ),
inference(trivial_inequality_removal,[],[f46529]) ).
thf(f46576,plain,
( $false
| ~ spl2_334
| ~ spl2_383
| ~ spl2_564 ),
inference(forward_subsumption_resolution,[],[f46555,f18377]) ).
thf(f46577,plain,
( ~ spl2_334
| ~ spl2_383
| ~ spl2_564 ),
inference(avatar_contradiction_clause,[],[f46576]) ).
thf(f46598,plain,
( spl2_284
| ~ spl2_14
| ~ spl2_16
| ~ spl2_260 ),
inference(avatar_split_clause,[],[f44148,f15237,f345,f255,f16285]) ).
thf(f46613,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_647 ),
inference(avatar_component_clause,[],[f45536]) ).
thf(f46614,plain,
( ~ spl2_647
| spl2_640
| ~ spl2_191
| ~ spl2_564 ),
inference(avatar_split_clause,[],[f46557,f40357,f11036,f45229,f45536]) ).
thf(f46632,plain,
( spl2_6
| spl2_41 ),
inference(avatar_split_clause,[],[f16732,f1096,f145]) ).
thf(f46634,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_24
| ~ spl2_84
| ~ spl2_562 ),
inference(forward_subsumption_resolution,[],[f46054,f48]) ).
thf(f46663,definition,
( spl2_667
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_667])],[avatar_definition]) ).
thf(f46664,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_667 ),
inference(avatar_component_clause,[],[f46663]) ).
thf(f46665,plain,
( spl2_284
| spl2_667
| ~ spl2_322 ),
inference(avatar_split_clause,[],[f45657,f17616,f46663,f16285]) ).
thf(f46666,plain,
( ~ spl2_14
| spl2_22
| ~ spl2_1
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f23984,f356,f117,f379,f255]) ).
thf(f46673,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_352 ),
inference(forward_subsumption_resolution,[],[f45430,f48]) ).
thf(f46703,plain,
( ~ spl2_647
| ~ spl2_564
| ~ spl2_635 ),
inference(avatar_split_clause,[],[f46561,f43633,f40357,f45536]) ).
thf(f46705,plain,
( ~ spl2_14
| ~ spl2_260
| ~ spl2_322 ),
inference(avatar_split_clause,[],[f45668,f17616,f15237,f255]) ).
thf(f46722,plain,
( spl2_284
| spl2_255
| spl2_647
| ~ spl2_24
| ~ spl2_84
| ~ spl2_562 ),
inference(avatar_split_clause,[],[f46634,f40331,f2820,f441,f45536,f14742,f16285]) ).
thf(f46731,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_4
| spl2_352 ),
inference(forward_subsumption_resolution,[],[f46673,f19162]) ).
thf(f46747,plain,
( spl2_334
| spl2_4
| spl2_352 ),
inference(avatar_split_clause,[],[f46731,f19718,f128,f18376]) ).
thf(f46762,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_571 ),
inference(avatar_component_clause,[],[f40659]) ).
thf(f46763,plain,
( spl2_284
| ~ spl2_571
| ~ spl2_16
| ~ spl2_562 ),
inference(avatar_split_clause,[],[f46050,f40331,f345,f40659,f16285]) ).
thf(f46808,plain,
( ~ spl2_571
| spl2_610
| ~ spl2_16
| ~ spl2_564 ),
inference(avatar_split_clause,[],[f46549,f40357,f345,f42327,f40659]) ).
thf(f46834,plain,
( ~ spl2_125
| spl2_266
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f43674,f15946,f15268,f6814]) ).
thf(f46904,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_48 ),
inference(constrained_superposition,[],[f1133,f73]) ).
thf(f46905,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_48 ),
inference(trivial_inequality_removal,[],[f46904]) ).
thf(f46928,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_1
| ~ spl2_255 ),
inference(constrained_superposition,[],[f118,f14743]) ).
thf(f46933,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_255 ),
inference(constrained_superposition,[],[f5979,f14743]) ).
thf(f47008,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_125 ),
inference(avatar_component_clause,[],[f6814]) ).
thf(f47010,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_1
| spl2_4
| ~ spl2_255 ),
inference(forward_subsumption_resolution,[],[f46928,f19162]) ).
thf(f47015,plain,
( spl2_160
| spl2_125
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f46933,f14742,f6814,f7943]) ).
thf(f47032,plain,
( spl2_14
| ~ spl2_1
| spl2_4
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f47010,f14742,f128,f117,f255]) ).
thf(f47046,plain,
( ~ spl2_14
| spl2_141
| ~ spl2_3
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f44662,f9861,f124,f6972,f255]) ).
thf(f47048,plain,
( spl2_141
| spl2_284
| spl2_243
| spl2_122 ),
inference(avatar_split_clause,[],[f18598,f6740,f14650,f16285,f6972]) ).
thf(f47053,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_255 ),
inference(extensionality_resolution,[],[f74,f40239]) ).
thf(f47054,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_255 ),
inference(extensionality_resolution,[],[f74,f40239]) ).
thf(f47055,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_255 ),
inference(extensionality_resolution,[],[f4682,f40239]) ).
thf(f47056,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_255 ),
inference(extensionality_resolution,[],[f4682,f40239]) ).
thf(f47057,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_255 ),
inference(extensionality_resolution,[],[f102,f40239]) ).
thf(f47058,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_255 ),
inference(extensionality_resolution,[],[f102,f40239]) ).
thf(f47071,plain,
( spl2_264
| spl2_141
| spl2_610
| spl2_255 ),
inference(avatar_split_clause,[],[f47055,f14742,f42327,f6972,f15259]) ).
thf(f47072,plain,
( spl2_560
| spl2_561
| spl2_255 ),
inference(avatar_split_clause,[],[f47053,f14742,f40327,f40324]) ).
thf(f47084,plain,
( ( $true != $true )
| ~ spl2_21
| ~ spl2_135 ),
inference(constrained_superposition,[],[f364,f6937]) ).
thf(f47093,plain,
( $false
| ~ spl2_21
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f47084]) ).
thf(f47094,plain,
( ~ spl2_21
| ~ spl2_135 ),
inference(avatar_contradiction_clause,[],[f47093]) ).
thf(f47180,plain,
( ( $true != $true )
| ~ spl2_22
| ~ spl2_324 ),
inference(constrained_superposition,[],[f17669,f380]) ).
thf(f47191,plain,
( $false
| ~ spl2_22
| ~ spl2_324 ),
inference(trivial_inequality_removal,[],[f47180]) ).
thf(f47192,plain,
( ~ spl2_22
| ~ spl2_324 ),
inference(avatar_contradiction_clause,[],[f47191]) ).
thf(f47220,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_48 ),
inference(constrained_superposition,[],[f30,f46905]) ).
thf(f47235,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true ) )
| ~ spl2_48 ),
inference(trivial_inequality_removal,[],[f47220]) ).
thf(f47243,definition,
( spl2_689
<=> ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_689])],[avatar_definition]) ).
thf(f47244,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_689 ),
inference(avatar_component_clause,[],[f47243]) ).
thf(f47245,plain,
( spl2_17
| spl2_689
| ~ spl2_48 ),
inference(avatar_split_clause,[],[f47235,f1132,f47243,f348]) ).
thf(f47251,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_258 ),
inference(constrained_superposition,[],[f2812,f17995]) ).
thf(f47269,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_258 ),
inference(trivial_inequality_removal,[],[f47251]) ).
thf(f47273,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| spl2_6 ),
inference(avatar_component_clause,[],[f145]) ).
thf(f47274,plain,
( spl2_260
| ~ spl2_6
| ~ spl2_258 ),
inference(avatar_split_clause,[],[f47269,f15227,f145,f15237]) ).
thf(f47282,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_8
| ~ spl2_41 ),
inference(constrained_superposition,[],[f153,f1097]) ).
thf(f47285,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ~ spl2_8
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f47282]) ).
thf(f47288,plain,
( spl2_20
| ~ spl2_8
| ~ spl2_41 ),
inference(avatar_split_clause,[],[f47285,f1096,f152,f359]) ).
thf(f47289,plain,
( spl2_280
| spl2_334
| spl2_135
| spl2_255 ),
inference(avatar_split_clause,[],[f47056,f14742,f6936,f18376,f16214]) ).
thf(f47294,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_275 ),
inference(forward_subsumption_resolution,[],[f45402,f48]) ).
thf(f47298,plain,
( spl2_562
| spl2_563
| spl2_255 ),
inference(avatar_split_clause,[],[f47054,f14742,f40334,f40331]) ).
thf(f47305,plain,
( spl2_84
| spl2_4 ),
inference(avatar_split_clause,[],[f2818,f128,f2820]) ).
thf(f47307,plain,
( spl2_135
| spl2_280
| spl2_610
| spl2_255 ),
inference(avatar_split_clause,[],[f47058,f14742,f42327,f16214,f6936]) ).
thf(f47310,plain,
( spl2_610
| spl2_135
| spl2_264
| spl2_255 ),
inference(avatar_split_clause,[],[f47057,f14742,f15259,f6936,f42327]) ).
thf(f47317,plain,
( spl2_610
| spl2_4
| spl2_275 ),
inference(avatar_split_clause,[],[f47294,f15962,f128,f42327]) ).
thf(f47356,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_170 ),
inference(constrained_superposition,[],[f57,f8741]) ).
thf(f47357,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_170 ),
inference(constrained_superposition,[],[f30,f8741]) ).
thf(f47359,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f47356]) ).
thf(f47360,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f47357]) ).
thf(f47361,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| spl2_6
| ~ spl2_170 ),
inference(forward_subsumption_resolution,[],[f47359,f47273]) ).
thf(f47362,plain,
( spl2_320
| spl2_7
| spl2_6
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f47361,f8740,f145,f148,f17360]) ).
thf(f47391,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_125 ),
inference(constrained_superposition,[],[f69,f47008]) ).
thf(f47401,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_125 ),
inference(duplicate_literal_removal,[],[f47391]) ).
thf(f47402,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_125 ),
inference(trivial_inequality_removal,[],[f47401]) ).
thf(f47414,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ~ spl2_125
| spl2_135 ),
inference(forward_subsumption_resolution,[],[f47402,f9678]) ).
thf(f47420,plain,
( $false
| ~ spl2_125
| spl2_135 ),
inference(forward_subsumption_resolution,[],[f47414,f48]) ).
thf(f47421,plain,
( ~ spl2_125
| spl2_135 ),
inference(avatar_contradiction_clause,[],[f47420]) ).
thf(f47527,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_419
| spl2_610 ),
inference(constrained_superposition,[],[f45189,f27850]) ).
thf(f47595,plain,
( $false
| ~ spl2_284
| ~ spl2_419
| spl2_610 ),
inference(forward_subsumption_resolution,[],[f47527,f16286]) ).
thf(f47596,plain,
( ~ spl2_284
| ~ spl2_419
| spl2_610 ),
inference(avatar_contradiction_clause,[],[f47595]) ).
thf(f47694,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_604 ),
inference(constrained_superposition,[],[f41918,f50]) ).
thf(f47696,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_604 ),
inference(trivial_inequality_removal,[],[f47694]) ).
thf(f47698,plain,
( spl2_647
| spl2_604 ),
inference(avatar_split_clause,[],[f47696,f41917,f45536]) ).
thf(f47805,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_7
| ~ spl2_571 ),
inference(constrained_superposition,[],[f149,f40660]) ).
thf(f47810,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_7
| ~ spl2_571 ),
inference(trivial_inequality_removal,[],[f47805]) ).
thf(f47818,plain,
( ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_7
| ~ spl2_571 ),
inference(constrained_superposition,[],[f47810,f49]) ).
thf(f47822,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_7
| ~ spl2_571 ),
inference(trivial_inequality_removal,[],[f47818]) ).
thf(f47825,plain,
( spl2_577
| ~ spl2_7
| ~ spl2_571 ),
inference(avatar_split_clause,[],[f47822,f40659,f148,f41044]) ).
thf(f47861,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f6787,f4682]) ).
thf(f47867,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f47861]) ).
thf(f47877,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_7
| ~ spl2_123 ),
inference(forward_subsumption_resolution,[],[f47867,f149]) ).
thf(f47884,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_7
| ~ spl2_123
| spl2_135 ),
inference(forward_subsumption_resolution,[],[f47877,f9678]) ).
thf(f47894,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_7
| ~ spl2_123
| spl2_135
| ~ spl2_571 ),
inference(constrained_superposition,[],[f47884,f40660]) ).
thf(f47898,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_7
| ~ spl2_123
| spl2_135
| ~ spl2_571 ),
inference(trivial_inequality_removal,[],[f47894]) ).
thf(f47904,plain,
( spl2_270
| ~ spl2_7
| ~ spl2_123
| spl2_135
| ~ spl2_571 ),
inference(avatar_split_clause,[],[f47898,f40659,f6936,f6786,f148,f15591]) ).
thf(f47934,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_226
| ~ spl2_243 ),
inference(constrained_superposition,[],[f13607,f14651]) ).
thf(f47935,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_226
| ~ spl2_284 ),
inference(constrained_superposition,[],[f13607,f16286]) ).
thf(f47944,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ~ spl2_226
| ~ spl2_243 ),
inference(trivial_inequality_removal,[],[f47934]) ).
thf(f47952,plain,
( ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true )
| ~ spl2_226
| ~ spl2_284 ),
inference(trivial_inequality_removal,[],[f47935]) ).
thf(f47955,plain,
( spl2_320
| ~ spl2_226
| ~ spl2_243 ),
inference(avatar_split_clause,[],[f47944,f14650,f13606,f17360]) ).
thf(f47958,plain,
( spl2_5
| ~ spl2_226
| ~ spl2_284 ),
inference(avatar_split_clause,[],[f47952,f16285,f13606,f142]) ).
thf(f48078,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_334 ),
inference(avatar_component_clause,[],[f18376]) ).
thf(f48257,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_317
| ~ spl2_562 ),
inference(constrained_superposition,[],[f17311,f40332]) ).
thf(f48261,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_317
| ~ spl2_562 ),
inference(trivial_inequality_removal,[],[f48257]) ).
thf(f48266,plain,
( ~ spl2_647
| ~ spl2_317
| ~ spl2_562 ),
inference(avatar_split_clause,[],[f48261,f40331,f17310,f45536]) ).
thf(f48273,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_252
| ~ spl2_272 ),
inference(constrained_superposition,[],[f15834,f14723]) ).
thf(f48274,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_272
| ~ spl2_562 ),
inference(constrained_superposition,[],[f15834,f40332]) ).
thf(f48295,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_252
| ~ spl2_272 ),
inference(trivial_inequality_removal,[],[f48273]) ).
thf(f48296,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_272
| ~ spl2_562 ),
inference(trivial_inequality_removal,[],[f48274]) ).
thf(f48297,plain,
( $false
| ~ spl2_252
| ~ spl2_264
| ~ spl2_272 ),
inference(forward_subsumption_resolution,[],[f48295,f15260]) ).
thf(f48298,plain,
( ~ spl2_252
| ~ spl2_264
| ~ spl2_272 ),
inference(avatar_contradiction_clause,[],[f48297]) ).
thf(f48299,plain,
( $false
| ~ spl2_272
| ~ spl2_562
| ~ spl2_582 ),
inference(forward_subsumption_resolution,[],[f48296,f41518]) ).
thf(f48300,plain,
( ~ spl2_272
| ~ spl2_562
| ~ spl2_582 ),
inference(avatar_contradiction_clause,[],[f48299]) ).
thf(f48378,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_248 ),
inference(constrained_superposition,[],[f2812,f14707]) ).
thf(f48389,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_248 ),
inference(trivial_inequality_removal,[],[f48378]) ).
thf(f48411,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_577 ),
inference(constrained_superposition,[],[f26,f41045]) ).
thf(f48415,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ X0 @ sK1 )
!= $true ) )
| ~ spl2_577 ),
inference(trivial_inequality_removal,[],[f48411]) ).
thf(f48485,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_183
| ~ spl2_582 ),
inference(constrained_superposition,[],[f9862,f41518]) ).
thf(f48488,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_183
| ~ spl2_582 ),
inference(trivial_inequality_removal,[],[f48485]) ).
thf(f48557,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_251 ),
inference(constrained_superposition,[],[f14718,f72]) ).
thf(f48560,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_251 ),
inference(trivial_inequality_removal,[],[f48557]) ).
thf(f48575,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_250
| ~ spl2_323 ),
inference(constrained_superposition,[],[f17664,f14714]) ).
thf(f48576,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_323
| ~ spl2_560 ),
inference(constrained_superposition,[],[f17664,f40325]) ).
thf(f48580,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_250
| ~ spl2_323 ),
inference(trivial_inequality_removal,[],[f48575]) ).
thf(f48584,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_323
| ~ spl2_560 ),
inference(trivial_inequality_removal,[],[f48576]) ).
thf(f48591,plain,
( $false
| ~ spl2_124
| ~ spl2_250
| ~ spl2_323 ),
inference(forward_subsumption_resolution,[],[f48580,f6812]) ).
thf(f48592,plain,
( ~ spl2_124
| ~ spl2_250
| ~ spl2_323 ),
inference(avatar_contradiction_clause,[],[f48591]) ).
thf(f48593,plain,
( $false
| ~ spl2_124
| ~ spl2_323
| ~ spl2_560 ),
inference(forward_subsumption_resolution,[],[f48584,f6812]) ).
thf(f48594,plain,
( ~ spl2_124
| ~ spl2_323
| ~ spl2_560 ),
inference(avatar_contradiction_clause,[],[f48593]) ).
thf(f48601,plain,
( ~ spl2_280
| ~ spl2_250
| ~ spl2_323 ),
inference(avatar_split_clause,[],[f48580,f17663,f14713,f16214]) ).
thf(f48607,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_274 ),
inference(constrained_superposition,[],[f2812,f15947]) ).
thf(f48608,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_274 ),
inference(constrained_superposition,[],[f109,f15947]) ).
thf(f48630,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f48607]) ).
thf(f48632,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f48608]) ).
thf(f48638,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_580
| spl2_647 ),
inference(constrained_superposition,[],[f46613,f41444]) ).
thf(f48700,plain,
( $false
| ~ spl2_284
| ~ spl2_580
| spl2_647 ),
inference(forward_subsumption_resolution,[],[f48638,f16286]) ).
thf(f48701,plain,
( ~ spl2_284
| ~ spl2_580
| spl2_647 ),
inference(avatar_contradiction_clause,[],[f48700]) ).
thf(f48714,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true != $true )
| spl2_571 ),
inference(constrained_superposition,[],[f46762,f102]) ).
thf(f48721,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_571 ),
inference(trivial_inequality_removal,[],[f48714]) ).
thf(f48743,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_383
| ~ spl2_562 ),
inference(constrained_superposition,[],[f21821,f40332]) ).
thf(f48746,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_383
| ~ spl2_562 ),
inference(trivial_inequality_removal,[],[f48743]) ).
thf(f48758,plain,
( $false
| ~ spl2_281
| ~ spl2_383
| ~ spl2_562 ),
inference(forward_subsumption_resolution,[],[f48746,f16249]) ).
thf(f48759,plain,
( ~ spl2_281
| ~ spl2_383
| ~ spl2_562 ),
inference(avatar_contradiction_clause,[],[f48758]) ).
thf(f48767,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_560
| ~ spl2_636 ),
inference(constrained_superposition,[],[f43731,f40325]) ).
thf(f48783,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_560
| ~ spl2_636 ),
inference(trivial_inequality_removal,[],[f48767]) ).
thf(f48787,plain,
( $false
| ~ spl2_284
| ~ spl2_560
| ~ spl2_636 ),
inference(forward_subsumption_resolution,[],[f48783,f16286]) ).
thf(f48788,plain,
( ~ spl2_284
| ~ spl2_560
| ~ spl2_636 ),
inference(avatar_contradiction_clause,[],[f48787]) ).
thf(f48794,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_577 ),
inference(constrained_superposition,[],[f48415,f72]) ).
thf(f48796,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_577 ),
inference(constrained_superposition,[],[f48415,f5978]) ).
thf(f48799,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_577 ),
inference(trivial_inequality_removal,[],[f48794]) ).
thf(f48803,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_577 ),
inference(trivial_inequality_removal,[],[f48796]) ).
thf(f48896,plain,
( spl2_259
| ~ spl2_126
| ~ spl2_251 ),
inference(avatar_split_clause,[],[f48560,f14717,f6818,f15232]) ).
thf(f48903,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_183
| ~ spl2_577
| ~ spl2_582 ),
inference(forward_subsumption_resolution,[],[f48799,f48488]) ).
thf(f48910,plain,
( ~ spl2_119
| spl2_260
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f48630,f15946,f15237,f6722]) ).
thf(f48913,plain,
( spl2_121
| ~ spl2_276
| ~ spl2_248 ),
inference(avatar_split_clause,[],[f48389,f14706,f15967,f6737]) ).
thf(f48915,plain,
( spl2_259
| ~ spl2_119
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f48632,f15946,f6722,f15232]) ).
thf(f48922,plain,
( ~ spl2_2
| ~ spl2_183
| ~ spl2_577
| ~ spl2_582 ),
inference(avatar_split_clause,[],[f48903,f41517,f41044,f9861,f120]) ).
thf(f48933,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_571 ),
inference(forward_subsumption_resolution,[],[f48721,f48]) ).
thf(f48934,plain,
( spl2_146
| spl2_183
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f47360,f8740,f9861,f7070]) ).
thf(f48937,plain,
( spl2_4
| spl2_647
| spl2_571 ),
inference(avatar_split_clause,[],[f48933,f40659,f45536,f128]) ).
thf(f48966,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_246
| ~ spl2_259 ),
inference(constrained_superposition,[],[f14661,f15246]) ).
thf(f48969,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_246
| ~ spl2_259 ),
inference(trivial_inequality_removal,[],[f48966]) ).
thf(f48972,plain,
( $false
| ~ spl2_41
| ~ spl2_246
| ~ spl2_259 ),
inference(forward_subsumption_resolution,[],[f48969,f1097]) ).
thf(f48973,plain,
( ~ spl2_41
| ~ spl2_246
| ~ spl2_259 ),
inference(avatar_contradiction_clause,[],[f48972]) ).
thf(f49082,plain,
( $false
| ~ spl2_127
| ~ spl2_610 ),
inference(forward_subsumption_resolution,[],[f42328,f6890]) ).
thf(f49083,plain,
( ~ spl2_127
| ~ spl2_610 ),
inference(avatar_contradiction_clause,[],[f49082]) ).
thf(f49138,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_243 ),
inference(constrained_superposition,[],[f30,f14651]) ).
thf(f49139,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_243 ),
inference(trivial_inequality_removal,[],[f49138]) ).
thf(f49141,plain,
( spl2_146
| spl2_272
| ~ spl2_243 ),
inference(avatar_split_clause,[],[f49139,f14650,f15833,f7070]) ).
thf(f49142,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_266 ),
inference(constrained_superposition,[],[f57,f15269]) ).
thf(f49143,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) ) )
| ~ spl2_266 ),
inference(constrained_superposition,[],[f30,f15269]) ).
thf(f49144,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f49143]) ).
thf(f49145,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f49142]) ).
thf(f49146,plain,
( spl2_323
| spl2_226
| ~ spl2_266 ),
inference(avatar_split_clause,[],[f49144,f15268,f13606,f17663]) ).
thf(f49209,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true != $true )
| spl2_604 ),
inference(constrained_superposition,[],[f41918,f27]) ).
thf(f49210,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_604 ),
inference(trivial_inequality_removal,[],[f49209]) ).
thf(f49212,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| spl2_604 ),
inference(forward_subsumption_resolution,[],[f49210,f48]) ).
thf(f49215,plain,
( $false
| ~ spl2_127
| spl2_604 ),
inference(forward_subsumption_resolution,[],[f49212,f6890]) ).
thf(f49216,plain,
( ~ spl2_127
| spl2_604 ),
inference(avatar_contradiction_clause,[],[f49215]) ).
thf(f49217,plain,
( $false
| ~ spl2_127
| ~ spl2_647 ),
inference(forward_subsumption_resolution,[],[f45537,f6890]) ).
thf(f49218,plain,
( ~ spl2_127
| ~ spl2_647 ),
inference(avatar_contradiction_clause,[],[f49217]) ).
thf(f49220,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_146
| ~ spl2_266 ),
inference(constrained_superposition,[],[f7071,f15269]) ).
thf(f49221,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_135
| ~ spl2_146 ),
inference(constrained_superposition,[],[f7071,f6937]) ).
thf(f49230,plain,
( ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true )
| ~ spl2_135
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f49221]) ).
thf(f49239,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ~ spl2_146
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f49220]) ).
thf(f49241,plain,
( spl2_5
| ~ spl2_135
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f49230,f7070,f6936,f142]) ).
thf(f49244,plain,
( spl2_324
| ~ spl2_146
| ~ spl2_266 ),
inference(avatar_split_clause,[],[f49239,f15268,f7070,f17668]) ).
thf(f49245,plain,
( spl2_324
| spl2_137
| spl2_145
| ~ spl2_266 ),
inference(avatar_split_clause,[],[f49145,f15268,f7067,f6943,f17668]) ).
thf(f49293,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_145
| ~ spl2_582 ),
inference(constrained_superposition,[],[f7068,f41518]) ).
thf(f49294,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_145
| ~ spl2_243 ),
inference(constrained_superposition,[],[f7068,f14651]) ).
thf(f49295,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_145
| ~ spl2_243 ),
inference(trivial_inequality_removal,[],[f49294]) ).
thf(f49306,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_145
| ~ spl2_582 ),
inference(trivial_inequality_removal,[],[f49293]) ).
thf(f49484,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true ) )
| ~ spl2_250 ),
inference(constrained_superposition,[],[f30,f14714]) ).
thf(f49486,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_250 ),
inference(trivial_inequality_removal,[],[f49484]) ).
thf(f49487,plain,
( spl2_226
| spl2_279
| ~ spl2_250 ),
inference(avatar_split_clause,[],[f49486,f14713,f16184,f13606]) ).
thf(f49669,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_563
| ~ spl2_577 ),
inference(constrained_superposition,[],[f48415,f40335]) ).
thf(f49676,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_563 ),
inference(constrained_superposition,[],[f62,f40335]) ).
thf(f49688,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_563 ),
inference(trivial_inequality_removal,[],[f49676]) ).
thf(f49695,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_563
| ~ spl2_577 ),
inference(trivial_inequality_removal,[],[f49669]) ).
thf(f49700,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ~ spl2_145
| ~ spl2_563
| ~ spl2_582 ),
inference(forward_subsumption_resolution,[],[f49688,f49306]) ).
thf(f49701,plain,
( ~ spl2_245
| ~ spl2_563
| ~ spl2_577 ),
inference(avatar_split_clause,[],[f49695,f41044,f40334,f14656]) ).
thf(f49706,plain,
( ~ spl2_245
| ~ spl2_145
| ~ spl2_563
| ~ spl2_582 ),
inference(avatar_split_clause,[],[f49700,f41517,f40334,f7067,f14656]) ).
thf(f49723,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_272
| ~ spl2_562 ),
inference(constrained_superposition,[],[f15834,f40332]) ).
thf(f49727,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_272 ),
inference(constrained_superposition,[],[f15834,f4682]) ).
thf(f49736,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_272 ),
inference(trivial_inequality_removal,[],[f49727]) ).
thf(f49739,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_272
| ~ spl2_562 ),
inference(trivial_inequality_removal,[],[f49723]) ).
thf(f49746,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_145
| ~ spl2_272 ),
inference(forward_subsumption_resolution,[],[f49736,f7068]) ).
thf(f49789,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_272
| ~ spl2_562 ),
inference(constrained_superposition,[],[f49739,f102]) ).
thf(f49799,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_272
| ~ spl2_562 ),
inference(trivial_inequality_removal,[],[f49789]) ).
thf(f49826,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_323
| ~ spl2_560 ),
inference(constrained_superposition,[],[f17664,f40325]) ).
thf(f49827,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_266
| ~ spl2_323 ),
inference(constrained_superposition,[],[f17664,f15269]) ).
thf(f49830,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_266
| ~ spl2_323 ),
inference(trivial_inequality_removal,[],[f49827]) ).
thf(f49840,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_323
| ~ spl2_560 ),
inference(trivial_inequality_removal,[],[f49826]) ).
thf(f49876,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_323
| ~ spl2_560 ),
inference(constrained_superposition,[],[f49840,f102]) ).
thf(f49877,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ~ spl2_323
| ~ spl2_560 ),
inference(constrained_superposition,[],[f49840,f100]) ).
thf(f49882,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_323
| ~ spl2_560 ),
inference(trivial_inequality_removal,[],[f49876]) ).
thf(f49885,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_323
| ~ spl2_560 ),
inference(trivial_inequality_removal,[],[f49877]) ).
thf(f49944,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_571
| ~ spl2_636 ),
inference(constrained_superposition,[],[f43731,f40660]) ).
thf(f49954,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_571
| ~ spl2_636 ),
inference(trivial_inequality_removal,[],[f49944]) ).
thf(f49961,plain,
( $false
| ~ spl2_4
| ~ spl2_571
| ~ spl2_636 ),
inference(forward_subsumption_resolution,[],[f49954,f129]) ).
thf(f49962,plain,
( ~ spl2_4
| ~ spl2_571
| ~ spl2_636 ),
inference(avatar_contradiction_clause,[],[f49961]) ).
thf(f50028,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_252
| ~ spl2_354 ),
inference(constrained_superposition,[],[f19957,f14723]) ).
thf(f50033,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_252
| ~ spl2_354 ),
inference(trivial_inequality_removal,[],[f50028]) ).
thf(f50043,plain,
( $false
| ~ spl2_252
| ~ spl2_266
| ~ spl2_354 ),
inference(forward_subsumption_resolution,[],[f50033,f15269]) ).
thf(f50044,plain,
( ~ spl2_252
| ~ spl2_266
| ~ spl2_354 ),
inference(avatar_contradiction_clause,[],[f50043]) ).
thf(f50059,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_560
| ~ spl2_572 ),
inference(constrained_superposition,[],[f40765,f40325]) ).
thf(f50061,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_572 ),
inference(constrained_superposition,[],[f40765,f2911]) ).
thf(f50063,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_572 ),
inference(constrained_superposition,[],[f40765,f4682]) ).
thf(f50070,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_572 ),
inference(trivial_inequality_removal,[],[f50063]) ).
thf(f50071,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_560
| ~ spl2_572 ),
inference(trivial_inequality_removal,[],[f50059]) ).
thf(f50076,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) ) )
| ~ spl2_572 ),
inference(trivial_inequality_removal,[],[f50061]) ).
thf(f50081,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_572 ),
inference(forward_subsumption_resolution,[],[f50070,f149]) ).
thf(f50084,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_7
| ~ spl2_572 ),
inference(forward_subsumption_resolution,[],[f50076,f149]) ).
thf(f50204,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_284
| ~ spl2_640 ),
inference(constrained_superposition,[],[f45231,f45230]) ).
thf(f50213,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_284
| ~ spl2_640 ),
inference(trivial_inequality_removal,[],[f50204]) ).
thf(f50223,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_284
| ~ spl2_640 ),
inference(forward_subsumption_resolution,[],[f50213,f48]) ).
thf(f50231,plain,
( $false
| spl2_267
| spl2_284
| ~ spl2_640 ),
inference(forward_subsumption_resolution,[],[f50223,f40265]) ).
thf(f50232,plain,
( spl2_267
| spl2_284
| ~ spl2_640 ),
inference(avatar_contradiction_clause,[],[f50231]) ).
thf(f50240,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_259
| ~ spl2_399 ),
inference(constrained_superposition,[],[f22967,f15246]) ).
thf(f50255,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_259
| ~ spl2_399 ),
inference(trivial_inequality_removal,[],[f50240]) ).
thf(f50271,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_41
| ~ spl2_259
| ~ spl2_399 ),
inference(forward_subsumption_resolution,[],[f50255,f1097]) ).
thf(f50275,plain,
( $false
| ~ spl2_41
| ~ spl2_259
| spl2_267
| ~ spl2_399 ),
inference(forward_subsumption_resolution,[],[f50271,f40265]) ).
thf(f50276,plain,
( ~ spl2_41
| ~ spl2_259
| spl2_267
| ~ spl2_399 ),
inference(avatar_contradiction_clause,[],[f50275]) ).
thf(f50324,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_279
| ~ spl2_564 ),
inference(constrained_superposition,[],[f16185,f40358]) ).
thf(f50337,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_279
| ~ spl2_564 ),
inference(trivial_inequality_removal,[],[f50324]) ).
thf(f50347,plain,
( $false
| ~ spl2_279
| ~ spl2_560
| ~ spl2_564 ),
inference(forward_subsumption_resolution,[],[f50337,f40325]) ).
thf(f50348,plain,
( ~ spl2_279
| ~ spl2_560
| ~ spl2_564 ),
inference(avatar_contradiction_clause,[],[f50347]) ).
thf(f50378,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_323
| ~ spl2_560 ),
inference(forward_subsumption_resolution,[],[f49885,f48]) ).
thf(f50397,definition,
( spl2_716
<=> ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_716])],[avatar_definition]) ).
thf(f50398,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_716 ),
inference(avatar_component_clause,[],[f50397]) ).
thf(f50399,plain,
( spl2_647
| spl2_716
| ~ spl2_7
| ~ spl2_572 ),
inference(avatar_split_clause,[],[f50081,f40764,f148,f50397,f45536]) ).
thf(f50422,definition,
( spl2_721
<=> ! [X0: $i] :
( ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_721])],[avatar_definition]) ).
thf(f50423,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_721 ),
inference(avatar_component_clause,[],[f50422]) ).
thf(f50424,plain,
( spl2_647
| spl2_721
| ~ spl2_7
| ~ spl2_572 ),
inference(avatar_split_clause,[],[f50084,f40764,f148,f50422,f45536]) ).
thf(f50447,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_323
| ~ spl2_560
| ~ spl2_577 ),
inference(forward_subsumption_resolution,[],[f48803,f49840]) ).
thf(f50450,plain,
( spl2_270
| spl2_647
| spl2_135
| ~ spl2_272
| ~ spl2_562 ),
inference(avatar_split_clause,[],[f49799,f40331,f15833,f6936,f45536,f15591]) ).
thf(f50457,plain,
( spl2_647
| spl2_135
| spl2_270
| ~ spl2_323
| ~ spl2_560 ),
inference(avatar_split_clause,[],[f49882,f40324,f17663,f15591,f6936,f45536]) ).
thf(f50461,plain,
( spl2_647
| spl2_135
| spl2_570
| ~ spl2_323
| ~ spl2_560 ),
inference(avatar_split_clause,[],[f50378,f40324,f17663,f40573,f6936,f45536]) ).
thf(f50466,plain,
( ~ spl2_130
| ~ spl2_323
| ~ spl2_560
| ~ spl2_577 ),
inference(avatar_split_clause,[],[f50447,f41044,f40324,f17663,f6902]) ).
thf(f50500,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_9
| ~ spl2_352 ),
inference(constrained_superposition,[],[f156,f19719]) ).
thf(f50506,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_9
| ~ spl2_352 ),
inference(trivial_inequality_removal,[],[f50500]) ).
thf(f50513,plain,
( $false
| ~ spl2_9
| ~ spl2_352
| ~ spl2_610 ),
inference(forward_subsumption_resolution,[],[f50506,f42328]) ).
thf(f50514,plain,
( ~ spl2_9
| ~ spl2_352
| ~ spl2_610 ),
inference(avatar_contradiction_clause,[],[f50513]) ).
thf(f50517,plain,
( ~ spl2_260
| ~ spl2_560
| ~ spl2_572 ),
inference(avatar_split_clause,[],[f50071,f40764,f40324,f15237]) ).
thf(f50519,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_7
| ~ spl2_667 ),
inference(forward_subsumption_resolution,[],[f46664,f149]) ).
thf(f50520,plain,
( ( $true != $true )
| ~ spl2_44
| ~ spl2_610 ),
inference(constrained_superposition,[],[f1116,f42328]) ).
thf(f50525,plain,
( $false
| ~ spl2_44
| ~ spl2_610 ),
inference(trivial_inequality_removal,[],[f50520]) ).
thf(f50526,plain,
( ~ spl2_44
| ~ spl2_610 ),
inference(avatar_contradiction_clause,[],[f50525]) ).
thf(f50582,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_7
| ~ spl2_275
| ~ spl2_667 ),
inference(constrained_superposition,[],[f50519,f15963]) ).
thf(f50583,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_7
| ~ spl2_275 ),
inference(constrained_superposition,[],[f149,f15963]) ).
thf(f50584,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_275
| ~ spl2_635 ),
inference(constrained_superposition,[],[f43634,f15963]) ).
thf(f50587,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_7
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f50583]) ).
thf(f50590,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_7
| ~ spl2_275
| ~ spl2_667 ),
inference(trivial_inequality_removal,[],[f50582]) ).
thf(f50591,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ~ spl2_275
| ~ spl2_635 ),
inference(trivial_inequality_removal,[],[f50584]) ).
thf(f50592,plain,
( $false
| ~ spl2_7
| ~ spl2_275
| ~ spl2_334 ),
inference(forward_subsumption_resolution,[],[f50587,f18377]) ).
thf(f50593,plain,
( ~ spl2_7
| ~ spl2_275
| ~ spl2_334 ),
inference(avatar_contradiction_clause,[],[f50592]) ).
thf(f50595,plain,
( $false
| ~ spl2_7
| spl2_267
| ~ spl2_275
| ~ spl2_667 ),
inference(forward_subsumption_resolution,[],[f50590,f40265]) ).
thf(f50596,plain,
( ~ spl2_7
| spl2_267
| ~ spl2_275
| ~ spl2_667 ),
inference(avatar_contradiction_clause,[],[f50595]) ).
thf(f50604,plain,
( ~ spl2_4
| ~ spl2_275
| ~ spl2_635 ),
inference(avatar_split_clause,[],[f50591,f43633,f15962,f128]) ).
thf(f50692,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_148
| ~ spl2_266 ),
inference(constrained_superposition,[],[f7115,f15269]) ).
thf(f50704,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_148
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f50692]) ).
thf(f50712,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_264
| ~ spl2_635 ),
inference(constrained_superposition,[],[f43634,f15260]) ).
thf(f50718,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_264
| ~ spl2_635 ),
inference(trivial_inequality_removal,[],[f50712]) ).
thf(f50726,plain,
( $false
| ~ spl2_135
| ~ spl2_264
| ~ spl2_635 ),
inference(forward_subsumption_resolution,[],[f50718,f6937]) ).
thf(f50727,plain,
( ~ spl2_135
| ~ spl2_264
| ~ spl2_635 ),
inference(avatar_contradiction_clause,[],[f50726]) ).
thf(f50736,definition,
( spl2_728
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_728])],[avatar_definition]) ).
thf(f50737,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_728 ),
inference(avatar_component_clause,[],[f50736]) ).
thf(f50738,plain,
( spl2_728
| spl2_284
| ~ spl2_145
| ~ spl2_272 ),
inference(avatar_split_clause,[],[f49746,f15833,f7067,f16285,f50736]) ).
thf(f50739,plain,
( ~ spl2_284
| ~ spl2_148
| ~ spl2_266 ),
inference(avatar_split_clause,[],[f50704,f15268,f7114,f16285]) ).
thf(f50775,plain,
( ~ spl2_281
| ~ spl2_145
| ~ spl2_243 ),
inference(avatar_split_clause,[],[f49295,f14650,f7067,f16248]) ).
thf(f50789,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f57,f129]) ).
thf(f50790,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) ) )
| ~ spl2_4 ),
inference(constrained_superposition,[],[f30,f129]) ).
thf(f50791,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X1 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f50790]) ).
thf(f50792,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f50789]) ).
thf(f50793,plain,
( spl2_9
| spl2_8
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f50791,f128,f152,f155]) ).
thf(f50794,plain,
( spl2_7
| spl2_5
| spl2_6
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f50792,f128,f145,f142,f148]) ).
thf(f50795,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_41 ),
inference(constrained_superposition,[],[f30,f1097]) ).
thf(f50796,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_41 ),
inference(trivial_inequality_removal,[],[f50795]) ).
thf(f50797,plain,
( spl2_7
| spl2_17
| ~ spl2_41 ),
inference(avatar_split_clause,[],[f50796,f1096,f348,f148]) ).
thf(f50849,plain,
( ( $true != $true )
| ~ spl2_243
| ~ spl2_324 ),
inference(constrained_superposition,[],[f17669,f14651]) ).
thf(f50850,plain,
( ( $true != $true )
| ~ spl2_284
| ~ spl2_324 ),
inference(constrained_superposition,[],[f17669,f16286]) ).
thf(f50862,plain,
( $false
| ~ spl2_243
| ~ spl2_324 ),
inference(trivial_inequality_removal,[],[f50849]) ).
thf(f50863,plain,
( ~ spl2_243
| ~ spl2_324 ),
inference(avatar_contradiction_clause,[],[f50862]) ).
thf(f50868,plain,
( $false
| ~ spl2_284
| ~ spl2_324 ),
inference(trivial_inequality_removal,[],[f50850]) ).
thf(f50869,plain,
( ~ spl2_284
| ~ spl2_324 ),
inference(avatar_contradiction_clause,[],[f50868]) ).
thf(f50873,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_170 ),
inference(constrained_superposition,[],[f16894,f4682]) ).
thf(f50874,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true != $true )
| spl2_170 ),
inference(constrained_superposition,[],[f16894,f102]) ).
thf(f50875,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_170 ),
inference(constrained_superposition,[],[f16894,f100]) ).
thf(f50876,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_170 ),
inference(constrained_superposition,[],[f16894,f87]) ).
thf(f50880,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| spl2_170 ),
inference(trivial_inequality_removal,[],[f50875]) ).
thf(f50881,plain,
( ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_170 ),
inference(trivial_inequality_removal,[],[f50873]) ).
thf(f50882,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| spl2_170 ),
inference(trivial_inequality_removal,[],[f50874]) ).
thf(f50884,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_170 ),
inference(trivial_inequality_removal,[],[f50876]) ).
thf(f51026,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_577 ),
inference(constrained_superposition,[],[f38749,f41045]) ).
thf(f51043,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_577 ),
inference(trivial_inequality_removal,[],[f51026]) ).
thf(f51152,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_284
| ~ spl2_689 ),
inference(constrained_superposition,[],[f47244,f16286]) ).
thf(f51172,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ sK1 ) ) )
| ~ spl2_284
| ~ spl2_689 ),
inference(trivial_inequality_removal,[],[f51152]) ).
thf(f51181,plain,
( $false
| ~ spl2_41
| ~ spl2_284
| ~ spl2_689 ),
inference(forward_subsumption_resolution,[],[f51172,f1097]) ).
thf(f51182,plain,
( ~ spl2_41
| ~ spl2_284
| ~ spl2_689 ),
inference(avatar_contradiction_clause,[],[f51181]) ).
thf(f51190,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_275
| ~ spl2_716 ),
inference(constrained_superposition,[],[f50398,f15963]) ).
thf(f51192,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_275
| ~ spl2_716 ),
inference(trivial_inequality_removal,[],[f51190]) ).
thf(f51200,plain,
( spl2_419
| ~ spl2_275
| ~ spl2_716 ),
inference(avatar_split_clause,[],[f51192,f50397,f15962,f27849]) ).
thf(f51202,plain,
( ~ spl2_137
| spl2_582
| ~ spl2_577 ),
inference(avatar_split_clause,[],[f51043,f41044,f41517,f6943]) ).
thf(f51205,plain,
( ~ spl2_160
| ~ spl2_266
| ~ spl2_323 ),
inference(avatar_split_clause,[],[f49830,f17663,f15268,f7943]) ).
thf(f51206,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_170 ),
inference(forward_subsumption_resolution,[],[f50881,f48]) ).
thf(f51207,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_122
| spl2_170 ),
inference(forward_subsumption_resolution,[],[f50880,f14443]) ).
thf(f51208,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_170 ),
inference(forward_subsumption_resolution,[],[f50884,f48]) ).
thf(f51210,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_170 ),
inference(forward_subsumption_resolution,[],[f50882,f48]) ).
thf(f51212,plain,
( spl2_141
| spl2_4
| spl2_170 ),
inference(avatar_split_clause,[],[f51206,f8740,f128,f6972]) ).
thf(f51213,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| spl2_122
| spl2_170 ),
inference(forward_subsumption_resolution,[],[f51207,f48]) ).
thf(f51214,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ sK1 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_122
| spl2_170 ),
inference(forward_subsumption_resolution,[],[f51208,f14443]) ).
thf(f51216,plain,
( spl2_135
| spl2_4
| spl2_170 ),
inference(avatar_split_clause,[],[f51210,f8740,f128,f6936]) ).
thf(f51218,plain,
( spl2_4
| spl2_135
| spl2_122
| spl2_170 ),
inference(avatar_split_clause,[],[f51213,f8740,f6740,f6936,f128]) ).
thf(f51219,plain,
( spl2_4
| spl2_141
| spl2_122
| spl2_170 ),
inference(avatar_split_clause,[],[f51214,f8740,f6740,f6972,f128]) ).
thf(f51220,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ~ spl2_290
| spl2_610 ),
inference(constrained_superposition,[],[f45189,f16388]) ).
thf(f51223,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= sK1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_290
| spl2_610 ),
inference(trivial_inequality_removal,[],[f51220]) ).
thf(f51226,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_290
| spl2_610 ),
inference(forward_subsumption_resolution,[],[f51223,f48]) ).
thf(f51229,plain,
( spl2_267
| ~ spl2_290
| spl2_610 ),
inference(avatar_split_clause,[],[f51226,f42327,f16387,f15277]) ).
thf(f51262,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_141 ),
inference(constrained_superposition,[],[f30,f6977]) ).
thf(f51263,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_141 ),
inference(trivial_inequality_removal,[],[f51262]) ).
thf(f51264,plain,
( spl2_145
| spl2_146
| ~ spl2_141 ),
inference(avatar_split_clause,[],[f51263,f6972,f7070,f7067]) ).
thf(f51268,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_135 ),
inference(constrained_superposition,[],[f30,f6937]) ).
thf(f51269,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true ) )
| ~ spl2_135 ),
inference(trivial_inequality_removal,[],[f51268]) ).
thf(f51271,plain,
( spl2_8
| spl2_148
| ~ spl2_135 ),
inference(avatar_split_clause,[],[f51269,f6936,f7114,f152]) ).
thf(f51276,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_267
| spl2_610 ),
inference(constrained_superposition,[],[f45189,f15278]) ).
thf(f51281,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_267 ),
inference(constrained_superposition,[],[f6708,f15278]) ).
thf(f51332,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_267 ),
inference(duplicate_literal_removal,[],[f51281]) ).
thf(f51336,plain,
( ~ spl2_284
| ~ spl2_267
| spl2_610 ),
inference(avatar_split_clause,[],[f51276,f42327,f15277,f16285]) ).
thf(f51337,plain,
( spl2_160
| spl2_240
| ~ spl2_267 ),
inference(avatar_split_clause,[],[f51332,f15277,f14631,f7943]) ).
thf(f51341,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_267 ),
inference(extensionality_resolution,[],[f74,f40265]) ).
thf(f51342,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_267 ),
inference(extensionality_resolution,[],[f4682,f40265]) ).
thf(f51344,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_267 ),
inference(extensionality_resolution,[],[f102,f40265]) ).
thf(f51345,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_267 ),
inference(extensionality_resolution,[],[f102,f40265]) ).
thf(f51347,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_267 ),
inference(extensionality_resolution,[],[f83,f40265]) ).
thf(f51349,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| spl2_267 ),
inference(extensionality_resolution,[],[f80,f40265]) ).
thf(f51352,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_267 ),
inference(extensionality_resolution,[],[f51,f40265]) ).
thf(f51353,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_267 ),
inference(extensionality_resolution,[],[f51,f40265]) ).
thf(f51360,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_267
| spl2_610 ),
inference(forward_subsumption_resolution,[],[f51342,f45189]) ).
thf(f51362,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_267
| spl2_610 ),
inference(forward_subsumption_resolution,[],[f51345,f45189]) ).
thf(f51365,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_267
| spl2_610 ),
inference(forward_subsumption_resolution,[],[f51349,f45189]) ).
thf(f51367,plain,
( spl2_252
| spl2_253
| spl2_267 ),
inference(avatar_split_clause,[],[f51353,f15277,f14725,f14722]) ).
thf(f51368,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| spl2_267
| spl2_334 ),
inference(forward_subsumption_resolution,[],[f51347,f48078]) ).
thf(f51369,plain,
( spl2_250
| spl2_249
| spl2_267 ),
inference(avatar_split_clause,[],[f51352,f15277,f14710,f14713]) ).
thf(f51370,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_267
| spl2_610 ),
inference(forward_subsumption_resolution,[],[f51344,f45189]) ).
thf(f51371,plain,
( spl2_564
| spl2_565
| spl2_267 ),
inference(avatar_split_clause,[],[f51341,f15277,f40360,f40357]) ).
thf(f51372,plain,
( spl2_281
| spl2_250
| spl2_267
| spl2_610 ),
inference(avatar_split_clause,[],[f51360,f42327,f15277,f14713,f16248]) ).
thf(f51373,plain,
( spl2_284
| spl2_252
| spl2_267
| spl2_610 ),
inference(avatar_split_clause,[],[f51362,f42327,f15277,f14722,f16285]) ).
thf(f51374,plain,
( ~ spl2_245
| spl2_252
| spl2_267
| spl2_610 ),
inference(avatar_split_clause,[],[f51365,f42327,f15277,f14722,f14656]) ).
thf(f51376,plain,
( spl2_252
| ~ spl2_245
| spl2_267
| spl2_334 ),
inference(avatar_split_clause,[],[f51368,f18376,f15277,f14656,f14722]) ).
thf(f51377,plain,
( spl2_250
| spl2_284
| spl2_267
| spl2_610 ),
inference(avatar_split_clause,[],[f51370,f42327,f15277,f16285,f14713]) ).
thf(f51383,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_281 ),
inference(constrained_superposition,[],[f30,f16249]) ).
thf(f51384,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f51383]) ).
thf(f51385,plain,
( spl2_246
| spl2_226
| ~ spl2_281 ),
inference(avatar_split_clause,[],[f51384,f16248,f13606,f14660]) ).
thf(f51387,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true ) )
| ~ spl2_284 ),
inference(constrained_superposition,[],[f30,f16286]) ).
thf(f51389,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl2_284 ),
inference(trivial_inequality_removal,[],[f51387]) ).
thf(f51391,plain,
( spl2_8
| spl2_317
| ~ spl2_284 ),
inference(avatar_split_clause,[],[f51389,f16285,f17310,f152]) ).
thf(f51408,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_160 ),
inference(constrained_superposition,[],[f30,f17041]) ).
thf(f51410,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 ) ) )
| ~ spl2_160 ),
inference(trivial_inequality_removal,[],[f51408]) ).
thf(f51412,plain,
( spl2_146
| spl2_171
| ~ spl2_160 ),
inference(avatar_split_clause,[],[f51410,f7943,f8743,f7070]) ).
thf(f51415,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl2_260 ),
inference(constrained_superposition,[],[f30,f17585]) ).
thf(f51416,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_260 ),
inference(trivial_inequality_removal,[],[f51415]) ).
thf(f51418,plain,
( spl2_17
| spl2_322
| ~ spl2_260 ),
inference(avatar_split_clause,[],[f51416,f15237,f17616,f348]) ).
thf(f51495,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_647 ),
inference(constrained_superposition,[],[f57,f45537]) ).
thf(f51496,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_647 ),
inference(constrained_superposition,[],[f30,f45537]) ).
thf(f51497,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_647 ),
inference(trivial_inequality_removal,[],[f51495]) ).
thf(f51498,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ sK1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl2_647 ),
inference(trivial_inequality_removal,[],[f51496]) ).
thf(f51499,plain,
( spl2_577
| spl2_5
| spl2_383
| ~ spl2_647 ),
inference(avatar_split_clause,[],[f51497,f45536,f21820,f142,f41044]) ).
thf(f51500,plain,
( spl2_636
| spl2_8
| ~ spl2_647 ),
inference(avatar_split_clause,[],[f51498,f45536,f152,f43730]) ).
thf(f51511,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_145
| ~ spl2_160 ),
inference(constrained_superposition,[],[f7068,f17041]) ).
thf(f51513,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_145
| ~ spl2_160 ),
inference(trivial_inequality_removal,[],[f51511]) ).
thf(f51523,plain,
( $false
| ~ spl2_141
| ~ spl2_145
| ~ spl2_160 ),
inference(forward_subsumption_resolution,[],[f51513,f6977]) ).
thf(f51524,plain,
( ~ spl2_141
| ~ spl2_145
| ~ spl2_160 ),
inference(avatar_contradiction_clause,[],[f51523]) ).
thf(f51568,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_264
| ~ spl2_728 ),
inference(constrained_superposition,[],[f50737,f15260]) ).
thf(f51572,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_264
| ~ spl2_728 ),
inference(trivial_inequality_removal,[],[f51568]) ).
thf(f51576,plain,
( $false
| ~ spl2_264
| spl2_267
| ~ spl2_728 ),
inference(forward_subsumption_resolution,[],[f51572,f40265]) ).
thf(f51577,plain,
( ~ spl2_264
| spl2_267
| ~ spl2_728 ),
inference(avatar_contradiction_clause,[],[f51576]) ).
thf(f51590,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_280 ),
inference(constrained_superposition,[],[f30,f19902]) ).
thf(f51593,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_280 ),
inference(trivial_inequality_removal,[],[f51590]) ).
thf(f51597,plain,
( spl2_354
| spl2_347
| ~ spl2_280 ),
inference(avatar_split_clause,[],[f51593,f16214,f19239,f19956]) ).
thf(f51708,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_148
| ~ spl2_581 ),
inference(constrained_superposition,[],[f7115,f41514]) ).
thf(f51713,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_148
| ~ spl2_581 ),
inference(trivial_inequality_removal,[],[f51708]) ).
thf(f51717,plain,
( ~ spl2_647
| ~ spl2_148
| ~ spl2_581 ),
inference(avatar_split_clause,[],[f51713,f41513,f7114,f45536]) ).
thf(f51724,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_571 ),
inference(constrained_superposition,[],[f30,f40660]) ).
thf(f51726,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_571 ),
inference(trivial_inequality_removal,[],[f51724]) ).
thf(f51728,plain,
( spl2_17
| spl2_572
| ~ spl2_571 ),
inference(avatar_split_clause,[],[f51726,f40659,f40764,f348]) ).
thf(f51729,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_145
| ~ spl2_582 ),
inference(constrained_superposition,[],[f7068,f41518]) ).
thf(f51734,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_145
| ~ spl2_582 ),
inference(trivial_inequality_removal,[],[f51729]) ).
thf(f51737,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_145
| ~ spl2_582 ),
inference(constrained_superposition,[],[f51734,f49]) ).
thf(f51740,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_145
| ~ spl2_582 ),
inference(trivial_inequality_removal,[],[f51737]) ).
thf(f51743,plain,
( spl2_577
| ~ spl2_145
| ~ spl2_582 ),
inference(avatar_split_clause,[],[f51740,f41517,f7067,f41044]) ).
thf(f51825,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_275
| ~ spl2_347 ),
inference(constrained_superposition,[],[f19240,f15963]) ).
thf(f51838,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ~ spl2_275
| ~ spl2_347 ),
inference(trivial_inequality_removal,[],[f51825]) ).
thf(f51848,plain,
( spl2_20
| ~ spl2_275
| ~ spl2_347 ),
inference(avatar_split_clause,[],[f51838,f19239,f15962,f359]) ).
thf(f51854,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_135
| ~ spl2_171 ),
inference(constrained_superposition,[],[f8744,f6937]) ).
thf(f51863,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ sK1 )
= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_171 ),
inference(constrained_superposition,[],[f8744,f2907]) ).
thf(f51869,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_135
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f51854]) ).
thf(f51871,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1 = X0 ) )
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f51863]) ).
thf(f51880,plain,
( $false
| ~ spl2_135
| ~ spl2_141
| ~ spl2_171 ),
inference(forward_subsumption_resolution,[],[f51869,f6977]) ).
thf(f51881,plain,
( ~ spl2_135
| ~ spl2_141
| ~ spl2_171 ),
inference(avatar_contradiction_clause,[],[f51880]) ).
thf(f51882,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_171 ),
inference(forward_subsumption_resolution,[],[f51871,f2912]) ).
thf(f51884,plain,
( spl2_184
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f51882,f8743,f9905]) ).
thf(f52096,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_582
| ~ spl2_636 ),
inference(constrained_superposition,[],[f43731,f41518]) ).
thf(f52106,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 ) )
| ~ spl2_582
| ~ spl2_636 ),
inference(trivial_inequality_removal,[],[f52096]) ).
thf(f52112,plain,
( $false
| ~ spl2_135
| ~ spl2_582
| ~ spl2_636 ),
inference(forward_subsumption_resolution,[],[f52106,f6937]) ).
thf(f52113,plain,
( ~ spl2_135
| ~ spl2_582
| ~ spl2_636 ),
inference(avatar_contradiction_clause,[],[f52112]) ).
thf(f52137,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_260
| ~ spl2_721 ),
inference(constrained_superposition,[],[f50423,f17585]) ).
thf(f52144,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_260
| ~ spl2_721 ),
inference(trivial_inequality_removal,[],[f52137]) ).
thf(f52153,plain,
( spl2_580
| ~ spl2_260
| ~ spl2_721 ),
inference(avatar_split_clause,[],[f52144,f50422,f15237,f41443]) ).
thf(f52172,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_565 ),
inference(constrained_superposition,[],[f69,f40361]) ).
thf(f52184,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= sK1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_565 ),
inference(trivial_inequality_removal,[],[f52172]) ).
thf(f52192,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_565 ),
inference(forward_subsumption_resolution,[],[f52184,f48]) ).
thf(f52195,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 ) )
| ~ spl2_565
| spl2_610 ),
inference(forward_subsumption_resolution,[],[f52192,f45189]) ).
thf(f52197,plain,
( $false
| ~ spl2_565
| spl2_610
| spl2_647 ),
inference(forward_subsumption_resolution,[],[f52195,f46613]) ).
thf(f52198,plain,
( ~ spl2_565
| spl2_610
| spl2_647 ),
inference(avatar_contradiction_clause,[],[f52197]) ).
cnf(s4,plain,
( spl2_2
| spl2_4 ),
inference(sat_conversion,[],[f136]) ).
cnf(s10,plain,
( spl2_12
| ~ spl2_13 ),
inference(sat_conversion,[],[f205]) ).
cnf(s11,plain,
( ~ spl2_5
| spl2_12 ),
inference(sat_conversion,[],[f207]) ).
cnf(s15,plain,
( ~ spl2_5
| ~ spl2_12
| spl2_19
| spl2_20 ),
inference(sat_conversion,[],[f361]) ).
cnf(s17,plain,
( ~ spl2_1
| spl2_6
| ~ spl2_8
| spl2_22 ),
inference(sat_conversion,[],[f381]) ).
cnf(s20,plain,
( ~ spl2_4
| spl2_6
| ~ spl2_8 ),
inference(sat_conversion,[],[f393]) ).
cnf(s21,plain,
( ~ spl2_6
| ~ spl2_8
| spl2_17
| spl2_23 ),
inference(sat_conversion,[],[f433]) ).
cnf(s22,plain,
( ~ spl2_6
| spl2_17
| spl2_24 ),
inference(sat_conversion,[],[f443]) ).
cnf(s27,plain,
( ~ spl2_4
| ~ spl2_20 ),
inference(sat_conversion,[],[f543]) ).
cnf(s28,plain,
( ~ spl2_6
| spl2_17
| spl2_29 ),
inference(sat_conversion,[],[f574]) ).
cnf(s29,plain,
( ~ spl2_6
| ~ spl2_8
| spl2_12 ),
inference(sat_conversion,[],[f594]) ).
cnf(s30,plain,
( ~ spl2_6
| ~ spl2_12
| spl2_19
| spl2_20 ),
inference(sat_conversion,[],[f625]) ).
cnf(s35,plain,
( ~ spl2_6
| ~ spl2_8
| ~ spl2_23
| spl2_30 ),
inference(sat_conversion,[],[f921]) ).
cnf(s44,plain,
( ~ spl2_30
| spl2_38 ),
inference(sat_conversion,[],[f1093]) ).
cnf(s78,plain,
( ~ spl2_4
| spl2_5
| ~ spl2_17 ),
inference(sat_conversion,[],[f1174]) ).
cnf(s79,plain,
( ~ spl2_12
| ~ spl2_17
| spl2_21 ),
inference(sat_conversion,[],[f1175]) ).
cnf(s156,plain,
~ spl2_31,
inference(sat_conversion,[],[f1599]) ).
cnf(s189,plain,
( spl2_31
| spl2_31
| ~ spl2_33 ),
inference(sat_conversion,[],[f1938]) ).
cnf(s190,plain,
( spl2_31
| ~ spl2_33 ),
inference(rat,[],[s189]) ).
cnf(s200,plain,
~ spl2_54,
inference(sat_conversion,[],[f2047]) ).
cnf(s202,plain,
( ~ spl2_6
| ~ spl2_8
| ~ spl2_21
| spl2_54 ),
inference(sat_conversion,[],[f2063]) ).
cnf(s207,plain,
( ~ spl2_6
| spl2_17
| spl2_59 ),
inference(sat_conversion,[],[f2082]) ).
cnf(s240,plain,
( spl2_31
| ~ spl2_38
| spl2_69 ),
inference(sat_conversion,[],[f2347]) ).
cnf(s290,plain,
( spl2_1
| ~ spl2_4
| ~ spl2_6
| ~ spl2_19 ),
inference(sat_conversion,[],[f2751]) ).
cnf(s291,plain,
( ~ spl2_6
| spl2_17
| spl2_82 ),
inference(sat_conversion,[],[f2772]) ).
cnf(s349,plain,
~ spl2_69,
inference(sat_conversion,[],[f3831]) ).
cnf(s374,plain,
( ~ spl2_6
| spl2_84 ),
inference(sat_conversion,[],[f3869]) ).
cnf(s385,plain,
( ~ spl2_4
| ~ spl2_9
| ~ spl2_14 ),
inference(sat_conversion,[],[f3918]) ).
cnf(s445,plain,
( ~ spl2_6
| ~ spl2_9
| spl2_110 ),
inference(sat_conversion,[],[f5322]) ).
cnf(s458,plain,
( ~ spl2_6
| spl2_17
| spl2_117 ),
inference(sat_conversion,[],[f6436]) ).
cnf(s459,plain,
( spl2_118
| ~ spl2_119 ),
inference(sat_conversion,[],[f6724]) ).
cnf(s462,plain,
( spl2_119
| spl2_121 ),
inference(sat_conversion,[],[f6743]) ).
cnf(s467,plain,
( spl2_124
| ~ spl2_125 ),
inference(sat_conversion,[],[f6816]) ).
cnf(s468,plain,
( spl2_118
| ~ spl2_126 ),
inference(sat_conversion,[],[f6820]) ).
cnf(s488,plain,
( spl2_129
| spl2_135 ),
inference(sat_conversion,[],[f6958]) ).
cnf(s499,plain,
( spl2_130
| spl2_135 ),
inference(sat_conversion,[],[f6987]) ).
cnf(s551,plain,
( ~ spl2_9
| ~ spl2_118
| spl2_127
| ~ spl2_148 ),
inference(sat_conversion,[],[f8044]) ).
cnf(s600,plain,
( spl2_16
| spl2_17
| ~ spl2_84 ),
inference(sat_conversion,[],[f8528]) ).
cnf(s622,plain,
( spl2_1
| ~ spl2_6
| ~ spl2_7
| ~ spl2_84 ),
inference(sat_conversion,[],[f9263]) ).
cnf(s664,plain,
( ~ spl2_7
| ~ spl2_84
| spl2_129
| ~ spl2_137 ),
inference(sat_conversion,[],[f9660]) ).
cnf(s668,plain,
( ~ spl2_84
| spl2_121
| spl2_135 ),
inference(sat_conversion,[],[f9686]) ).
cnf(s677,plain,
( ~ spl2_6
| spl2_121
| spl2_135 ),
inference(sat_conversion,[],[f9720]) ).
cnf(s689,plain,
( ~ spl2_6
| spl2_121
| spl2_122
| spl2_141 ),
inference(sat_conversion,[],[f9808]) ).
cnf(s690,plain,
( ~ spl2_6
| spl2_141
| spl2_170 ),
inference(sat_conversion,[],[f9813]) ).
cnf(s698,plain,
( spl2_20
| ~ spl2_121
| ~ spl2_146 ),
inference(sat_conversion,[],[f9902]) ).
cnf(s733,plain,
( ~ spl2_7
| spl2_8
| ~ spl2_84
| ~ spl2_123
| spl2_135
| spl2_186 ),
inference(sat_conversion,[],[f10281]) ).
cnf(s746,plain,
( spl2_141
| spl2_185 ),
inference(sat_conversion,[],[f10750]) ).
cnf(s747,plain,
( spl2_141
| spl2_184 ),
inference(sat_conversion,[],[f10755]) ).
cnf(s748,plain,
( ~ spl2_1
| spl2_19
| spl2_20
| ~ spl2_84 ),
inference(sat_conversion,[],[f10814]) ).
cnf(s750,plain,
( ~ spl2_1
| ~ spl2_6
| spl2_19
| spl2_20 ),
inference(sat_conversion,[],[f10818]) ).
cnf(s754,plain,
( spl2_135
| spl2_184 ),
inference(sat_conversion,[],[f10972]) ).
cnf(s764,plain,
( spl2_141
| spl2_146
| spl2_195 ),
inference(sat_conversion,[],[f11675]) ).
cnf(s771,plain,
( ~ spl2_6
| ~ spl2_24
| spl2_141
| spl2_200 ),
inference(sat_conversion,[],[f12204]) ).
cnf(s777,plain,
( spl2_8
| ~ spl2_16
| ~ spl2_121
| spl2_141
| spl2_201 ),
inference(sat_conversion,[],[f12245]) ).
cnf(s807,plain,
( ~ spl2_29
| ~ spl2_84
| ~ spl2_129
| spl2_135
| spl2_223 ),
inference(sat_conversion,[],[f13377]) ).
cnf(s820,plain,
( ~ spl2_4
| ~ spl2_122
| spl2_135 ),
inference(sat_conversion,[],[f13585]) ).
cnf(s836,plain,
( ~ spl2_84
| ~ spl2_123
| ~ spl2_129
| spl2_223 ),
inference(sat_conversion,[],[f13625]) ).
cnf(s915,plain,
( ~ spl2_6
| ~ spl2_255
| spl2_258 ),
inference(sat_conversion,[],[f15535]) ).
cnf(s925,plain,
( spl2_14
| spl2_48
| ~ spl2_255 ),
inference(sat_conversion,[],[f15558]) ).
cnf(s932,plain,
( spl2_13
| spl2_14
| ~ spl2_255 ),
inference(sat_conversion,[],[f15569]) ).
cnf(s935,plain,
( ~ spl2_6
| spl2_14
| ~ spl2_255 ),
inference(sat_conversion,[],[f15574]) ).
cnf(s941,plain,
( ~ spl2_9
| ~ spl2_223
| ~ spl2_259 ),
inference(sat_conversion,[],[f15663]) ).
cnf(s943,plain,
( ~ spl2_9
| spl2_135
| ~ spl2_183
| ~ spl2_259
| spl2_267 ),
inference(sat_conversion,[],[f15667]) ).
cnf(s966,plain,
( ~ spl2_249
| spl2_259
| spl2_275 ),
inference(sat_conversion,[],[f15965]) ).
cnf(s972,plain,
( ~ spl2_7
| ~ spl2_123
| spl2_135
| spl2_255
| ~ spl2_275 ),
inference(sat_conversion,[],[f16048]) ).
cnf(s974,plain,
( ~ spl2_4
| ~ spl2_173
| spl2_255
| spl2_270
| ~ spl2_275 ),
inference(sat_conversion,[],[f16061]) ).
cnf(s985,plain,
( spl2_264
| spl2_273 ),
inference(sat_conversion,[],[f16091]) ).
cnf(s991,plain,
( ~ spl2_186
| ~ spl2_223
| ~ spl2_250
| spl2_255 ),
inference(sat_conversion,[],[f16212]) ).
cnf(s993,plain,
( ~ spl2_189
| ~ spl2_223
| ~ spl2_250
| spl2_270
| spl2_278 ),
inference(sat_conversion,[],[f16220]) ).
cnf(s995,plain,
( ~ spl2_173
| ~ spl2_223
| ~ spl2_250
| spl2_255
| spl2_270 ),
inference(sat_conversion,[],[f16222]) ).
cnf(s1013,plain,
( ~ spl2_7
| ~ spl2_121
| ~ spl2_141 ),
inference(sat_conversion,[],[f16273]) ).
cnf(s1022,plain,
( ~ spl2_84
| spl2_260
| spl2_284 ),
inference(sat_conversion,[],[f16315]) ).
cnf(s1027,plain,
( ~ spl2_19
| spl2_135
| ~ spl2_243
| ~ spl2_259 ),
inference(sat_conversion,[],[f16356]) ).
cnf(s1028,plain,
( ~ spl2_19
| spl2_135
| ~ spl2_185
| spl2_287 ),
inference(sat_conversion,[],[f16368]) ).
cnf(s1037,plain,
( ~ spl2_135
| ~ spl2_185
| ~ spl2_188
| spl2_292 ),
inference(sat_conversion,[],[f16401]) ).
cnf(s1053,plain,
( spl2_122
| ~ spl2_135
| ~ spl2_186
| ~ spl2_243 ),
inference(sat_conversion,[],[f16455]) ).
cnf(s1058,plain,
( ~ spl2_6
| spl2_260
| spl2_284 ),
inference(sat_conversion,[],[f16469]) ).
cnf(s1079,plain,
( ~ spl2_6
| ~ spl2_24
| spl2_135
| ~ spl2_243
| spl2_255
| spl2_284 ),
inference(sat_conversion,[],[f16498]) ).
cnf(s1080,plain,
( ~ spl2_135
| ~ spl2_185
| ~ spl2_186
| spl2_301 ),
inference(sat_conversion,[],[f16502]) ).
cnf(s1090,plain,
( ~ spl2_5
| ~ spl2_41 ),
inference(sat_conversion,[],[f16546]) ).
cnf(s1091,plain,
( ~ spl2_5
| spl2_33
| ~ spl2_143 ),
inference(sat_conversion,[],[f16558]) ).
cnf(s1095,plain,
( spl2_137
| spl2_141 ),
inference(sat_conversion,[],[f16594]) ).
cnf(s1103,plain,
( ~ spl2_1
| ~ spl2_41
| ~ spl2_246
| spl2_284 ),
inference(sat_conversion,[],[f16659]) ).
cnf(s1118,plain,
( ~ spl2_4
| ~ spl2_19
| spl2_135
| ~ spl2_141 ),
inference(sat_conversion,[],[f16743]) ).
cnf(s1119,plain,
( ~ spl2_6
| ~ spl2_137
| spl2_170 ),
inference(sat_conversion,[],[f16769]) ).
cnf(s1128,plain,
( ~ spl2_245
| spl2_263
| ~ spl2_267 ),
inference(sat_conversion,[],[f16910]) ).
cnf(s1131,plain,
( spl2_122
| spl2_148
| ~ spl2_173
| ~ spl2_267 ),
inference(sat_conversion,[],[f16920]) ).
cnf(s1151,plain,
( spl2_125
| spl2_160
| ~ spl2_267 ),
inference(sat_conversion,[],[f17055]) ).
cnf(s1158,plain,
( spl2_13
| spl2_14
| ~ spl2_270 ),
inference(sat_conversion,[],[f17168]) ).
cnf(s1160,plain,
( spl2_14
| spl2_48
| ~ spl2_270 ),
inference(sat_conversion,[],[f17170]) ).
cnf(s1165,plain,
( ~ spl2_4
| spl2_41
| ~ spl2_110
| ~ spl2_270 ),
inference(sat_conversion,[],[f17187]) ).
cnf(s1168,plain,
( ~ spl2_6
| spl2_14
| ~ spl2_270 ),
inference(sat_conversion,[],[f17192]) ).
cnf(s1175,plain,
( ~ spl2_9
| ~ spl2_12
| spl2_44 ),
inference(sat_conversion,[],[f17230]) ).
cnf(s1176,plain,
( ~ spl2_44
| ~ spl2_135 ),
inference(sat_conversion,[],[f17240]) ).
cnf(s1178,plain,
( spl2_126
| spl2_170 ),
inference(sat_conversion,[],[f17258]) ).
cnf(s1179,plain,
( spl2_122
| spl2_126
| spl2_170 ),
inference(sat_conversion,[],[f17260]) ).
cnf(s1181,plain,
( spl2_245
| spl2_284 ),
inference(sat_conversion,[],[f17267]) ).
cnf(s1187,plain,
( ~ spl2_9
| ~ spl2_135
| ~ spl2_170 ),
inference(sat_conversion,[],[f17331]) ).
cnf(s1203,plain,
( ~ spl2_135
| ~ spl2_320 ),
inference(sat_conversion,[],[f17395]) ).
cnf(s1204,plain,
( ~ spl2_121
| ~ spl2_320 ),
inference(sat_conversion,[],[f17403]) ).
cnf(s1206,plain,
( ~ spl2_127
| ~ spl2_284 ),
inference(sat_conversion,[],[f17431]) ).
cnf(s1223,plain,
( spl2_260
| spl2_276 ),
inference(sat_conversion,[],[f17587]) ).
cnf(s1231,plain,
( ~ spl2_123
| ~ spl2_260
| ~ spl2_266 ),
inference(sat_conversion,[],[f17661]) ).
cnf(s1235,plain,
( ~ spl2_4
| ~ spl2_121
| ~ spl2_148 ),
inference(sat_conversion,[],[f17721]) ).
cnf(s1236,plain,
( ~ spl2_16
| ~ spl2_121
| ~ spl2_184
| spl2_297 ),
inference(sat_conversion,[],[f17725]) ).
cnf(s1238,plain,
( ~ spl2_29
| ~ spl2_121
| ~ spl2_184
| spl2_312 ),
inference(sat_conversion,[],[f17727]) ).
cnf(s1244,plain,
( ~ spl2_133
| ~ spl2_145
| ~ spl2_264
| spl2_270
| spl2_278 ),
inference(sat_conversion,[],[f17803]) ).
cnf(s1249,plain,
( spl2_20
| ~ spl2_226
| ~ spl2_260 ),
inference(sat_conversion,[],[f17902]) ).
cnf(s1255,plain,
( ~ spl2_4
| ~ spl2_260
| ~ spl2_317 ),
inference(sat_conversion,[],[f17946]) ).
cnf(s1261,plain,
( ~ spl2_141
| ~ spl2_246
| ~ spl2_266 ),
inference(sat_conversion,[],[f17991]) ).
cnf(s1285,plain,
( ~ spl2_127
| ~ spl2_249 ),
inference(sat_conversion,[],[f18305]) ).
cnf(s1298,plain,
( ~ spl2_6
| ~ spl2_24
| ~ spl2_127
| ~ spl2_250
| spl2_255 ),
inference(sat_conversion,[],[f18391]) ).
cnf(s1303,plain,
( spl2_1
| spl2_4 ),
inference(sat_conversion,[],[f18404]) ).
cnf(s1304,plain,
( spl2_3
| spl2_4 ),
inference(sat_conversion,[],[f18405]) ).
cnf(s1314,plain,
( spl2_4
| spl2_170
| ~ spl2_184 ),
inference(sat_conversion,[],[f18425]) ).
cnf(s1325,plain,
( ~ spl2_14
| spl2_121
| ~ spl2_122 ),
inference(sat_conversion,[],[f18525]) ).
cnf(s1332,plain,
( ~ spl2_6
| ~ spl2_122
| spl2_137 ),
inference(sat_conversion,[],[f18544]) ).
cnf(s1341,plain,
( spl2_4
| ~ spl2_122
| ~ spl2_135 ),
inference(sat_conversion,[],[f18564]) ).
cnf(s1342,plain,
( spl2_4
| spl2_14
| ~ spl2_84
| ~ spl2_122 ),
inference(sat_conversion,[],[f18565]) ).
cnf(s1345,plain,
( spl2_13
| spl2_14
| ~ spl2_122 ),
inference(sat_conversion,[],[f18572]) ).
cnf(s1352,plain,
( ~ spl2_6
| spl2_14
| ~ spl2_122 ),
inference(sat_conversion,[],[f18587]) ).
cnf(s1353,plain,
( ~ spl2_6
| spl2_14
| spl2_41
| ~ spl2_122 ),
inference(sat_conversion,[],[f18588]) ).
cnf(s1359,plain,
( spl2_122
| spl2_243
| spl2_251 ),
inference(sat_conversion,[],[f18613]) ).
cnf(s1360,plain,
( spl2_122
| spl2_252
| spl2_253 ),
inference(sat_conversion,[],[f18614]) ).
cnf(s1361,plain,
( spl2_122
| spl2_249
| spl2_250 ),
inference(sat_conversion,[],[f18615]) ).
cnf(s1363,plain,
( ~ spl2_20
| ~ spl2_259 ),
inference(sat_conversion,[],[f18637]) ).
cnf(s1366,plain,
( ~ spl2_20
| spl2_216 ),
inference(sat_conversion,[],[f18644]) ).
cnf(s1371,plain,
( ~ spl2_14
| spl2_17
| spl2_43 ),
inference(sat_conversion,[],[f18666]) ).
cnf(s1373,plain,
( ~ spl2_14
| ~ spl2_17
| spl2_20 ),
inference(sat_conversion,[],[f18693]) ).
cnf(s1374,plain,
( ~ spl2_17
| ~ spl2_259
| spl2_324 ),
inference(sat_conversion,[],[f18697]) ).
cnf(s1376,plain,
( spl2_4
| ~ spl2_17
| spl2_340 ),
inference(sat_conversion,[],[f18706]) ).
cnf(s1379,plain,
( ~ spl2_260
| ~ spl2_324 ),
inference(sat_conversion,[],[f18730]) ).
cnf(s1387,plain,
( ~ spl2_6
| ~ spl2_258
| spl2_259 ),
inference(sat_conversion,[],[f18761]) ).
cnf(s1392,plain,
( spl2_122
| spl2_135
| spl2_266
| spl2_284 ),
inference(sat_conversion,[],[f18785]) ).
cnf(s1395,plain,
( spl2_122
| spl2_135
| spl2_243
| spl2_284 ),
inference(sat_conversion,[],[f18792]) ).
cnf(s1397,plain,
( spl2_122
| ~ spl2_130
| spl2_266
| spl2_284 ),
inference(sat_conversion,[],[f18794]) ).
cnf(s1402,plain,
( spl2_4
| spl2_259
| spl2_284 ),
inference(sat_conversion,[],[f18799]) ).
cnf(s1404,plain,
( spl2_122
| spl2_243
| spl2_248 ),
inference(sat_conversion,[],[f18801]) ).
cnf(s1410,plain,
( ~ spl2_17
| ~ spl2_170
| spl2_320 ),
inference(sat_conversion,[],[f18844]) ).
cnf(s1411,plain,
( spl2_17
| ~ spl2_121
| spl2_123 ),
inference(sat_conversion,[],[f18845]) ).
cnf(s1414,plain,
( spl2_8
| ~ spl2_223
| spl2_228 ),
inference(sat_conversion,[],[f18873]) ).
cnf(s1416,plain,
( spl2_135
| ~ spl2_223
| ~ spl2_278 ),
inference(sat_conversion,[],[f18944]) ).
cnf(s1421,plain,
( ~ spl2_137
| ~ spl2_240 ),
inference(sat_conversion,[],[f18960]) ).
cnf(s1435,plain,
( spl2_4
| spl2_259
| spl2_281 ),
inference(sat_conversion,[],[f18985]) ).
cnf(s1464,plain,
( ~ spl2_123
| spl2_135
| spl2_305 ),
inference(sat_conversion,[],[f19410]) ).
cnf(s1466,plain,
( ~ spl2_123
| spl2_135
| spl2_306 ),
inference(sat_conversion,[],[f19412]) ).
cnf(s1467,plain,
( ~ spl2_123
| spl2_135
| spl2_309 ),
inference(sat_conversion,[],[f19413]) ).
cnf(s1476,plain,
( ~ spl2_183
| ~ spl2_253
| ~ spl2_264
| ~ spl2_276 ),
inference(sat_conversion,[],[f19624]) ).
cnf(s1478,plain,
( ~ spl2_223
| ~ spl2_228
| ~ spl2_252 ),
inference(sat_conversion,[],[f19656]) ).
cnf(s1485,plain,
( ~ spl2_253
| ~ spl2_276
| spl2_352 ),
inference(sat_conversion,[],[f19720]) ).
cnf(s1490,plain,
( ~ spl2_249
| spl2_260
| ~ spl2_353 ),
inference(sat_conversion,[],[f19741]) ).
cnf(s1492,plain,
( ~ spl2_53
| spl2_141 ),
inference(sat_conversion,[],[f19754]) ).
cnf(s1504,plain,
( ~ spl2_123
| ~ spl2_275
| ~ spl2_280 ),
inference(sat_conversion,[],[f19954]) ).
cnf(s1507,plain,
( ~ spl2_14
| ~ spl2_121
| ~ spl2_123 ),
inference(sat_conversion,[],[f19963]) ).
cnf(s1511,plain,
( ~ spl2_249
| ~ spl2_263
| spl2_281 ),
inference(sat_conversion,[],[f19996]) ).
cnf(s1521,plain,
( ~ spl2_14
| ~ spl2_84
| ~ spl2_123
| spl2_135 ),
inference(sat_conversion,[],[f20031]) ).
cnf(s1534,plain,
( ~ spl2_20
| ~ spl2_170 ),
inference(sat_conversion,[],[f20068]) ).
cnf(s1539,plain,
( spl2_4
| ~ spl2_20
| spl2_53 ),
inference(sat_conversion,[],[f20079]) ).
cnf(s1541,plain,
( ~ spl2_22
| spl2_135 ),
inference(sat_conversion,[],[f20097]) ).
cnf(s1554,plain,
( ~ spl2_43
| ~ spl2_121
| ~ spl2_170 ),
inference(sat_conversion,[],[f20345]) ).
cnf(s1561,plain,
( spl2_4
| ~ spl2_43
| spl2_216 ),
inference(sat_conversion,[],[f20362]) ).
cnf(s1564,plain,
( ~ spl2_160
| ~ spl2_243
| ~ spl2_272 ),
inference(sat_conversion,[],[f20445]) ).
cnf(s1570,plain,
( spl2_122
| spl2_135
| ~ spl2_216 ),
inference(sat_conversion,[],[f20846]) ).
cnf(s1627,plain,
( spl2_8
| spl2_186
| ~ spl2_314 ),
inference(sat_conversion,[],[f21549]) ).
cnf(s1691,plain,
( spl2_22
| ~ spl2_84
| ~ spl2_340 ),
inference(sat_conversion,[],[f22273]) ).
cnf(s1755,plain,
( ~ spl2_276
| spl2_393 ),
inference(sat_conversion,[],[f22721]) ).
cnf(s1764,plain,
( spl2_8
| spl2_188
| ~ spl2_297 ),
inference(sat_conversion,[],[f22849]) ).
cnf(s1769,plain,
( spl2_5
| ~ spl2_292
| ~ spl2_312
| spl2_399 ),
inference(sat_conversion,[],[f22981]) ).
cnf(s1839,plain,
( spl2_8
| ~ spl2_128
| spl2_173 ),
inference(sat_conversion,[],[f23623]) ).
cnf(s1844,plain,
( ~ spl2_84
| ~ spl2_309
| spl2_314 ),
inference(sat_conversion,[],[f23814]) ).
cnf(s1847,plain,
( ~ spl2_3
| ~ spl2_287
| spl2_292 ),
inference(sat_conversion,[],[f24034]) ).
cnf(s1851,plain,
( spl2_146
| ~ spl2_184
| spl2_192 ),
inference(sat_conversion,[],[f24256]) ).
cnf(s2096,plain,
( ~ spl2_6
| spl2_8
| ~ spl2_24
| spl2_135
| spl2_189 ),
inference(sat_conversion,[],[f28615]) ).
cnf(s2104,plain,
( spl2_8
| ~ spl2_29
| ~ spl2_84
| spl2_191 ),
inference(sat_conversion,[],[f29375]) ).
cnf(s2174,plain,
( ~ spl2_6
| ~ spl2_24
| spl2_128
| spl2_135 ),
inference(sat_conversion,[],[f32238]) ).
cnf(s2181,plain,
( spl2_4
| spl2_128
| ~ spl2_309 ),
inference(sat_conversion,[],[f32248]) ).
cnf(s2182,plain,
( spl2_4
| spl2_128
| spl2_135
| ~ spl2_183 ),
inference(sat_conversion,[],[f32249]) ).
cnf(s2274,plain,
( ~ spl2_6
| ~ spl2_246
| ~ spl2_393
| spl2_495 ),
inference(sat_conversion,[],[f33722]) ).
cnf(s2297,plain,
( spl2_17
| ~ spl2_495
| spl2_499 ),
inference(sat_conversion,[],[f33963]) ).
cnf(s2438,plain,
( ~ spl2_173
| spl2_270
| ~ spl2_284
| ~ spl2_560
| spl2_569 ),
inference(sat_conversion,[],[f40558]) ).
cnf(s2446,plain,
( ~ spl2_201
| ~ spl2_284
| ~ spl2_560 ),
inference(sat_conversion,[],[f40584]) ).
cnf(s2466,plain,
( spl2_259
| ~ spl2_561
| spl2_571 ),
inference(sat_conversion,[],[f40662]) ).
cnf(s2478,plain,
( ~ spl2_201
| ~ spl2_223
| ~ spl2_562 ),
inference(sat_conversion,[],[f41032]) ).
cnf(s2500,plain,
( spl2_122
| ~ spl2_173
| ~ spl2_223
| spl2_255
| ~ spl2_562 ),
inference(sat_conversion,[],[f41093]) ).
cnf(s2539,plain,
( spl2_267
| ~ spl2_499
| ~ spl2_564
| ~ spl2_571 ),
inference(sat_conversion,[],[f41450]) ).
cnf(s2541,plain,
( ~ spl2_173
| spl2_255
| spl2_270
| ~ spl2_314
| ~ spl2_564 ),
inference(sat_conversion,[],[f41453]) ).
cnf(s2561,plain,
( ~ spl2_273
| ~ spl2_565
| spl2_581 ),
inference(sat_conversion,[],[f41515]) ).
cnf(s2562,plain,
( ~ spl2_273
| ~ spl2_565
| spl2_582 ),
inference(sat_conversion,[],[f41519]) ).
cnf(s2564,plain,
( ~ spl2_123
| ~ spl2_571
| ~ spl2_581 ),
inference(sat_conversion,[],[f41648]) ).
cnf(s2576,plain,
( ~ spl2_29
| spl2_135
| ~ spl2_571
| ~ spl2_581 ),
inference(sat_conversion,[],[f41697]) ).
cnf(s2585,plain,
( ~ spl2_59
| spl2_122
| ~ spl2_188
| ~ spl2_284
| ~ spl2_393
| ~ spl2_399
| spl2_570
| ~ spl2_581 ),
inference(sat_conversion,[],[f41718]) ).
cnf(s2590,plain,
( ~ spl2_253
| spl2_275
| ~ spl2_276 ),
inference(sat_conversion,[],[f41729]) ).
cnf(s2591,plain,
( spl2_266
| ~ spl2_561
| ~ spl2_584 ),
inference(sat_conversion,[],[f41733]) ).
cnf(s2592,plain,
( ~ spl2_249
| ~ spl2_274
| spl2_280 ),
inference(sat_conversion,[],[f41735]) ).
cnf(s2593,plain,
( spl2_260
| ~ spl2_561
| ~ spl2_585 ),
inference(sat_conversion,[],[f41739]) ).
cnf(s2594,plain,
( spl2_259
| ~ spl2_561
| ~ spl2_585 ),
inference(sat_conversion,[],[f41741]) ).
cnf(s2600,plain,
( ~ spl2_248
| ~ spl2_563
| spl2_581 ),
inference(sat_conversion,[],[f41755]) ).
cnf(s2601,plain,
( spl2_243
| ~ spl2_561
| ~ spl2_584 ),
inference(sat_conversion,[],[f41758]) ).
cnf(s2602,plain,
( ~ spl2_248
| ~ spl2_253
| spl2_264 ),
inference(sat_conversion,[],[f41760]) ).
cnf(s2607,plain,
( spl2_275
| spl2_353 ),
inference(sat_conversion,[],[f41766]) ).
cnf(s2612,plain,
( ~ spl2_276
| ~ spl2_563
| spl2_571 ),
inference(sat_conversion,[],[f41771]) ).
cnf(s2613,plain,
( ~ spl2_249
| spl2_259
| ~ spl2_353 ),
inference(sat_conversion,[],[f41773]) ).
cnf(s2614,plain,
( ~ spl2_353
| ~ spl2_565
| spl2_571 ),
inference(sat_conversion,[],[f41774]) ).
cnf(s2653,plain,
( spl2_122
| ~ spl2_135
| ~ spl2_301
| ~ spl2_323 ),
inference(sat_conversion,[],[f41893]) ).
cnf(s2666,plain,
( spl2_281
| ~ spl2_561
| ~ spl2_604 ),
inference(sat_conversion,[],[f41919]) ).
cnf(s2667,plain,
( spl2_122
| spl2_135
| spl2_266
| spl2_281 ),
inference(sat_conversion,[],[f41920]) ).
cnf(s2683,plain,
( ~ spl2_267
| spl2_281
| ~ spl2_334 ),
inference(sat_conversion,[],[f42231]) ).
cnf(s2703,plain,
( ~ spl2_6
| spl2_122
| spl2_141
| ~ spl2_267
| ~ spl2_306 ),
inference(sat_conversion,[],[f42287]) ).
cnf(s2714,plain,
( spl2_122
| spl2_141
| ~ spl2_267
| ~ spl2_301 ),
inference(sat_conversion,[],[f42307]) ).
cnf(s2726,plain,
( ~ spl2_121
| spl2_122
| spl2_141
| ~ spl2_267
| ~ spl2_306 ),
inference(sat_conversion,[],[f42316]) ).
cnf(s2732,plain,
( ~ spl2_170
| ~ spl2_195
| spl2_309 ),
inference(sat_conversion,[],[f42325]) ).
cnf(s2761,plain,
( ~ spl2_117
| ~ spl2_121
| ~ spl2_137
| spl2_143 ),
inference(sat_conversion,[],[f42474]) ).
cnf(s2805,plain,
( ~ spl2_6
| spl2_133
| ~ spl2_305 ),
inference(sat_conversion,[],[f42578]) ).
cnf(s2815,plain,
( ~ spl2_84
| spl2_297
| ~ spl2_308 ),
inference(sat_conversion,[],[f42614]) ).
cnf(s2840,plain,
( spl2_4
| ~ spl2_308
| spl2_312 ),
inference(sat_conversion,[],[f42670]) ).
cnf(s2868,plain,
( ~ spl2_3
| spl2_141
| ~ spl2_192
| spl2_308 ),
inference(sat_conversion,[],[f42722]) ).
cnf(s2917,plain,
( spl2_125
| spl2_160
| ~ spl2_570 ),
inference(sat_conversion,[],[f43184]) ).
cnf(s2948,plain,
( spl2_266
| spl2_274 ),
inference(sat_conversion,[],[f43445]) ).
cnf(s2950,plain,
( spl2_122
| spl2_266
| spl2_274 ),
inference(sat_conversion,[],[f43447]) ).
cnf(s2958,plain,
( ~ spl2_5
| ~ spl2_141 ),
inference(sat_conversion,[],[f43485]) ).
cnf(s2967,plain,
( spl2_251
| ~ spl2_274 ),
inference(sat_conversion,[],[f43682]) ).
cnf(s2969,plain,
( spl2_8
| spl2_604
| spl2_636 ),
inference(sat_conversion,[],[f43732]) ).
cnf(s2972,plain,
( ~ spl2_12
| spl2_259 ),
inference(sat_conversion,[],[f43764]) ).
cnf(s2997,plain,
( spl2_4
| spl2_14
| ~ spl2_84
| ~ spl2_569 ),
inference(sat_conversion,[],[f44038]) ).
cnf(s3010,plain,
( spl2_125
| spl2_160
| ~ spl2_569 ),
inference(sat_conversion,[],[f44066]) ).
cnf(s3016,plain,
( ~ spl2_6
| spl2_14
| ~ spl2_569 ),
inference(sat_conversion,[],[f44076]) ).
cnf(s3076,plain,
( spl2_571
| spl2_585 ),
inference(sat_conversion,[],[f44518]) ).
cnf(s3133,plain,
( ~ spl2_252
| ~ spl2_317
| ~ spl2_610 ),
inference(sat_conversion,[],[f45195]) ).
cnf(s3162,plain,
( ~ spl2_19
| ~ spl2_250
| spl2_284
| ~ spl2_352 ),
inference(sat_conversion,[],[f45277]) ).
cnf(s3174,plain,
( ~ spl2_6
| ~ spl2_29
| spl2_284
| spl2_290 ),
inference(sat_conversion,[],[f45339]) ).
cnf(s3179,plain,
( ~ spl2_200
| spl2_255
| spl2_284 ),
inference(sat_conversion,[],[f45345]) ).
cnf(s3184,plain,
( spl2_8
| ~ spl2_610
| spl2_635 ),
inference(sat_conversion,[],[f45374]) ).
cnf(s3205,plain,
( ~ spl2_29
| ~ spl2_121
| ~ spl2_582
| spl2_647 ),
inference(sat_conversion,[],[f45549]) ).
cnf(s3207,plain,
( spl2_582
| spl2_584 ),
inference(sat_conversion,[],[f45559]) ).
cnf(s3240,plain,
( ~ spl2_16
| ~ spl2_260
| ~ spl2_560
| spl2_647 ),
inference(sat_conversion,[],[f45923]) ).
cnf(s3241,plain,
( ~ spl2_82
| ~ spl2_260
| ~ spl2_560
| spl2_569
| spl2_647 ),
inference(sat_conversion,[],[f45924]) ).
cnf(s3250,plain,
( ~ spl2_6
| ~ spl2_24
| spl2_281
| ~ spl2_560
| spl2_569
| spl2_647 ),
inference(sat_conversion,[],[f45955]) ).
cnf(s3252,plain,
( ~ spl2_6
| ~ spl2_24
| spl2_255
| spl2_284
| ~ spl2_560
| spl2_569
| spl2_647 ),
inference(sat_conversion,[],[f45958]) ).
cnf(s3307,plain,
( ~ spl2_334
| ~ spl2_383
| ~ spl2_564 ),
inference(sat_conversion,[],[f46577]) ).
cnf(s3316,plain,
( ~ spl2_14
| ~ spl2_16
| ~ spl2_260
| spl2_284 ),
inference(sat_conversion,[],[f46598]) ).
cnf(s3322,plain,
( ~ spl2_191
| ~ spl2_564
| spl2_640
| ~ spl2_647 ),
inference(sat_conversion,[],[f46614]) ).
cnf(s3327,plain,
( spl2_6
| spl2_41 ),
inference(sat_conversion,[],[f46632]) ).
cnf(s3337,plain,
( spl2_284
| ~ spl2_322
| spl2_667 ),
inference(sat_conversion,[],[f46665]) ).
cnf(s3338,plain,
( ~ spl2_1
| ~ spl2_14
| ~ spl2_19
| spl2_22 ),
inference(sat_conversion,[],[f46666]) ).
cnf(s3354,plain,
( ~ spl2_564
| ~ spl2_635
| ~ spl2_647 ),
inference(sat_conversion,[],[f46703]) ).
cnf(s3355,plain,
( ~ spl2_14
| ~ spl2_260
| ~ spl2_322 ),
inference(sat_conversion,[],[f46705]) ).
cnf(s3361,plain,
( ~ spl2_24
| ~ spl2_84
| spl2_255
| spl2_284
| ~ spl2_562
| spl2_647 ),
inference(sat_conversion,[],[f46722]) ).
cnf(s3373,plain,
( spl2_4
| spl2_334
| spl2_352 ),
inference(sat_conversion,[],[f46747]) ).
cnf(s3379,plain,
( ~ spl2_16
| spl2_284
| ~ spl2_562
| ~ spl2_571 ),
inference(sat_conversion,[],[f46763]) ).
cnf(s3395,plain,
( ~ spl2_16
| ~ spl2_564
| ~ spl2_571
| spl2_610 ),
inference(sat_conversion,[],[f46808]) ).
cnf(s3405,plain,
( ~ spl2_125
| spl2_266
| ~ spl2_274 ),
inference(sat_conversion,[],[f46834]) ).
cnf(s3443,plain,
( spl2_125
| spl2_160
| ~ spl2_255 ),
inference(sat_conversion,[],[f47015]) ).
cnf(s3453,plain,
( ~ spl2_1
| spl2_4
| spl2_14
| ~ spl2_255 ),
inference(sat_conversion,[],[f47032]) ).
cnf(s3464,plain,
( ~ spl2_3
| ~ spl2_14
| spl2_141
| ~ spl2_183 ),
inference(sat_conversion,[],[f47046]) ).
cnf(s3465,plain,
( spl2_122
| spl2_141
| spl2_243
| spl2_284 ),
inference(sat_conversion,[],[f47048]) ).
cnf(s3470,plain,
( spl2_141
| spl2_255
| spl2_264
| spl2_610 ),
inference(sat_conversion,[],[f47071]) ).
cnf(s3471,plain,
( spl2_255
| spl2_560
| spl2_561 ),
inference(sat_conversion,[],[f47072]) ).
cnf(s3475,plain,
( ~ spl2_21
| ~ spl2_135 ),
inference(sat_conversion,[],[f47094]) ).
cnf(s3490,plain,
( ~ spl2_22
| ~ spl2_324 ),
inference(sat_conversion,[],[f47192]) ).
cnf(s3494,plain,
( spl2_17
| ~ spl2_48
| spl2_689 ),
inference(sat_conversion,[],[f47245]) ).
cnf(s3497,plain,
( ~ spl2_6
| ~ spl2_258
| spl2_260 ),
inference(sat_conversion,[],[f47274]) ).
cnf(s3500,plain,
( ~ spl2_8
| spl2_20
| ~ spl2_41 ),
inference(sat_conversion,[],[f47288]) ).
cnf(s3501,plain,
( spl2_135
| spl2_255
| spl2_280
| spl2_334 ),
inference(sat_conversion,[],[f47289]) ).
cnf(s3504,plain,
( spl2_255
| spl2_562
| spl2_563 ),
inference(sat_conversion,[],[f47298]) ).
cnf(s3508,plain,
( spl2_4
| spl2_84 ),
inference(sat_conversion,[],[f47305]) ).
cnf(s3509,plain,
( spl2_135
| spl2_255
| spl2_280
| spl2_610 ),
inference(sat_conversion,[],[f47307]) ).
cnf(s3512,plain,
( spl2_135
| spl2_255
| spl2_264
| spl2_610 ),
inference(sat_conversion,[],[f47310]) ).
cnf(s3516,plain,
( spl2_4
| spl2_275
| spl2_610 ),
inference(sat_conversion,[],[f47317]) ).
cnf(s3531,plain,
( spl2_6
| spl2_7
| ~ spl2_170
| spl2_320 ),
inference(sat_conversion,[],[f47362]) ).
cnf(s3538,plain,
( ~ spl2_125
| spl2_135 ),
inference(sat_conversion,[],[f47421]) ).
cnf(s3546,plain,
( ~ spl2_284
| ~ spl2_419
| spl2_610 ),
inference(sat_conversion,[],[f47596]) ).
cnf(s3557,plain,
( spl2_604
| spl2_647 ),
inference(sat_conversion,[],[f47698]) ).
cnf(s3574,plain,
( ~ spl2_7
| ~ spl2_571
| spl2_577 ),
inference(sat_conversion,[],[f47825]) ).
cnf(s3581,plain,
( ~ spl2_7
| ~ spl2_123
| spl2_135
| spl2_270
| ~ spl2_571 ),
inference(sat_conversion,[],[f47904]) ).
cnf(s3582,plain,
( ~ spl2_226
| ~ spl2_243
| spl2_320 ),
inference(sat_conversion,[],[f47955]) ).
cnf(s3585,plain,
( spl2_5
| ~ spl2_226
| ~ spl2_284 ),
inference(sat_conversion,[],[f47958]) ).
cnf(s3618,plain,
( ~ spl2_317
| ~ spl2_562
| ~ spl2_647 ),
inference(sat_conversion,[],[f48266]) ).
cnf(s3621,plain,
( ~ spl2_252
| ~ spl2_264
| ~ spl2_272 ),
inference(sat_conversion,[],[f48298]) ).
cnf(s3622,plain,
( ~ spl2_272
| ~ spl2_562
| ~ spl2_582 ),
inference(sat_conversion,[],[f48300]) ).
cnf(s3655,plain,
( ~ spl2_124
| ~ spl2_250
| ~ spl2_323 ),
inference(sat_conversion,[],[f48592]) ).
cnf(s3656,plain,
( ~ spl2_124
| ~ spl2_323
| ~ spl2_560 ),
inference(sat_conversion,[],[f48594]) ).
cnf(s3659,plain,
( ~ spl2_250
| ~ spl2_280
| ~ spl2_323 ),
inference(sat_conversion,[],[f48601]) ).
cnf(s3668,plain,
( ~ spl2_284
| ~ spl2_580
| spl2_647 ),
inference(sat_conversion,[],[f48701]) ).
cnf(s3674,plain,
( ~ spl2_281
| ~ spl2_383
| ~ spl2_562 ),
inference(sat_conversion,[],[f48759]) ).
cnf(s3675,plain,
( ~ spl2_284
| ~ spl2_560
| ~ spl2_636 ),
inference(sat_conversion,[],[f48788]) ).
cnf(s3685,plain,
( ~ spl2_126
| ~ spl2_251
| spl2_259 ),
inference(sat_conversion,[],[f48896]) ).
cnf(s3689,plain,
( ~ spl2_119
| spl2_260
| ~ spl2_274 ),
inference(sat_conversion,[],[f48910]) ).
cnf(s3691,plain,
( spl2_121
| ~ spl2_248
| ~ spl2_276 ),
inference(sat_conversion,[],[f48913]) ).
cnf(s3692,plain,
( ~ spl2_119
| spl2_259
| ~ spl2_274 ),
inference(sat_conversion,[],[f48915]) ).
cnf(s3697,plain,
( ~ spl2_2
| ~ spl2_183
| ~ spl2_577
| ~ spl2_582 ),
inference(sat_conversion,[],[f48922]) ).
cnf(s3705,plain,
( spl2_146
| ~ spl2_170
| spl2_183 ),
inference(sat_conversion,[],[f48934]) ).
cnf(s3708,plain,
( spl2_4
| spl2_571
| spl2_647 ),
inference(sat_conversion,[],[f48937]) ).
cnf(s3712,plain,
( ~ spl2_41
| ~ spl2_246
| ~ spl2_259 ),
inference(sat_conversion,[],[f48973]) ).
cnf(s3736,plain,
( ~ spl2_127
| ~ spl2_610 ),
inference(sat_conversion,[],[f49083]) ).
cnf(s3738,plain,
( spl2_146
| ~ spl2_243
| spl2_272 ),
inference(sat_conversion,[],[f49141]) ).
cnf(s3739,plain,
( spl2_226
| ~ spl2_266
| spl2_323 ),
inference(sat_conversion,[],[f49146]) ).
cnf(s3745,plain,
( ~ spl2_127
| spl2_604 ),
inference(sat_conversion,[],[f49216]) ).
cnf(s3746,plain,
( ~ spl2_127
| ~ spl2_647 ),
inference(sat_conversion,[],[f49218]) ).
cnf(s3747,plain,
( spl2_5
| ~ spl2_135
| ~ spl2_146 ),
inference(sat_conversion,[],[f49241]) ).
cnf(s3750,plain,
( ~ spl2_146
| ~ spl2_266
| spl2_324 ),
inference(sat_conversion,[],[f49244]) ).
cnf(s3751,plain,
( spl2_137
| spl2_145
| ~ spl2_266
| spl2_324 ),
inference(sat_conversion,[],[f49245]) ).
cnf(s3774,plain,
( spl2_226
| ~ spl2_250
| spl2_279 ),
inference(sat_conversion,[],[f49487]) ).
cnf(s3786,plain,
( ~ spl2_245
| ~ spl2_563
| ~ spl2_577 ),
inference(sat_conversion,[],[f49701]) ).
cnf(s3789,plain,
( ~ spl2_145
| ~ spl2_245
| ~ spl2_563
| ~ spl2_582 ),
inference(sat_conversion,[],[f49706]) ).
cnf(s3805,plain,
( ~ spl2_4
| ~ spl2_571
| ~ spl2_636 ),
inference(sat_conversion,[],[f49962]) ).
cnf(s3813,plain,
( ~ spl2_252
| ~ spl2_266
| ~ spl2_354 ),
inference(sat_conversion,[],[f50044]) ).
cnf(s3822,plain,
( spl2_267
| spl2_284
| ~ spl2_640 ),
inference(sat_conversion,[],[f50232]) ).
cnf(s3825,plain,
( ~ spl2_41
| ~ spl2_259
| spl2_267
| ~ spl2_399 ),
inference(sat_conversion,[],[f50276]) ).
cnf(s3829,plain,
( ~ spl2_279
| ~ spl2_560
| ~ spl2_564 ),
inference(sat_conversion,[],[f50348]) ).
cnf(s3845,plain,
( ~ spl2_7
| ~ spl2_572
| spl2_647
| spl2_716 ),
inference(sat_conversion,[],[f50399]) ).
cnf(s3852,plain,
( ~ spl2_7
| ~ spl2_572
| spl2_647
| spl2_721 ),
inference(sat_conversion,[],[f50424]) ).
cnf(s3860,plain,
( spl2_135
| spl2_270
| ~ spl2_272
| ~ spl2_562
| spl2_647 ),
inference(sat_conversion,[],[f50450]) ).
cnf(s3862,plain,
( spl2_135
| spl2_270
| ~ spl2_323
| ~ spl2_560
| spl2_647 ),
inference(sat_conversion,[],[f50457]) ).
cnf(s3865,plain,
( spl2_135
| ~ spl2_323
| ~ spl2_560
| spl2_570
| spl2_647 ),
inference(sat_conversion,[],[f50461]) ).
cnf(s3870,plain,
( ~ spl2_130
| ~ spl2_323
| ~ spl2_560
| ~ spl2_577 ),
inference(sat_conversion,[],[f50466]) ).
cnf(s3884,plain,
( ~ spl2_9
| ~ spl2_352
| ~ spl2_610 ),
inference(sat_conversion,[],[f50514]) ).
cnf(s3886,plain,
( ~ spl2_260
| ~ spl2_560
| ~ spl2_572 ),
inference(sat_conversion,[],[f50517]) ).
cnf(s3887,plain,
( ~ spl2_44
| ~ spl2_610 ),
inference(sat_conversion,[],[f50526]) ).
cnf(s3896,plain,
( ~ spl2_7
| ~ spl2_275
| ~ spl2_334 ),
inference(sat_conversion,[],[f50593]) ).
cnf(s3898,plain,
( ~ spl2_7
| spl2_267
| ~ spl2_275
| ~ spl2_667 ),
inference(sat_conversion,[],[f50596]) ).
cnf(s3901,plain,
( ~ spl2_4
| ~ spl2_275
| ~ spl2_635 ),
inference(sat_conversion,[],[f50604]) ).
cnf(s3930,plain,
( ~ spl2_135
| ~ spl2_264
| ~ spl2_635 ),
inference(sat_conversion,[],[f50727]) ).
cnf(s3936,plain,
( ~ spl2_145
| ~ spl2_272
| spl2_284
| spl2_728 ),
inference(sat_conversion,[],[f50738]) ).
cnf(s3937,plain,
( ~ spl2_148
| ~ spl2_266
| ~ spl2_284 ),
inference(sat_conversion,[],[f50739]) ).
cnf(s3955,plain,
( ~ spl2_145
| ~ spl2_243
| ~ spl2_281 ),
inference(sat_conversion,[],[f50775]) ).
cnf(s3963,plain,
( ~ spl2_4
| spl2_8
| spl2_9 ),
inference(sat_conversion,[],[f50793]) ).
cnf(s3964,plain,
( ~ spl2_4
| spl2_5
| spl2_6
| spl2_7 ),
inference(sat_conversion,[],[f50794]) ).
cnf(s3965,plain,
( spl2_7
| spl2_17
| ~ spl2_41 ),
inference(sat_conversion,[],[f50797]) ).
cnf(s3976,plain,
( ~ spl2_243
| ~ spl2_324 ),
inference(sat_conversion,[],[f50863]) ).
cnf(s3977,plain,
( ~ spl2_284
| ~ spl2_324 ),
inference(sat_conversion,[],[f50869]) ).
cnf(s4008,plain,
( ~ spl2_41
| ~ spl2_284
| ~ spl2_689 ),
inference(sat_conversion,[],[f51182]) ).
cnf(s4009,plain,
( ~ spl2_275
| spl2_419
| ~ spl2_716 ),
inference(sat_conversion,[],[f51200]) ).
cnf(s4010,plain,
( ~ spl2_137
| ~ spl2_577
| spl2_582 ),
inference(sat_conversion,[],[f51202]) ).
cnf(s4012,plain,
( ~ spl2_160
| ~ spl2_266
| ~ spl2_323 ),
inference(sat_conversion,[],[f51205]) ).
cnf(s4013,plain,
( spl2_4
| spl2_141
| spl2_170 ),
inference(sat_conversion,[],[f51212]) ).
cnf(s4015,plain,
( spl2_4
| spl2_135
| spl2_170 ),
inference(sat_conversion,[],[f51216]) ).
cnf(s4017,plain,
( spl2_4
| spl2_122
| spl2_135
| spl2_170 ),
inference(sat_conversion,[],[f51218]) ).
cnf(s4018,plain,
( spl2_4
| spl2_122
| spl2_141
| spl2_170 ),
inference(sat_conversion,[],[f51219]) ).
cnf(s4021,plain,
( spl2_267
| ~ spl2_290
| spl2_610 ),
inference(sat_conversion,[],[f51229]) ).
cnf(s4024,plain,
( ~ spl2_141
| spl2_145
| spl2_146 ),
inference(sat_conversion,[],[f51264]) ).
cnf(s4025,plain,
( spl2_8
| ~ spl2_135
| spl2_148 ),
inference(sat_conversion,[],[f51271]) ).
cnf(s4030,plain,
( ~ spl2_267
| ~ spl2_284
| spl2_610 ),
inference(sat_conversion,[],[f51336]) ).
cnf(s4031,plain,
( spl2_160
| spl2_240
| ~ spl2_267 ),
inference(sat_conversion,[],[f51337]) ).
cnf(s4039,plain,
( spl2_252
| spl2_253
| spl2_267 ),
inference(sat_conversion,[],[f51367]) ).
cnf(s4040,plain,
( spl2_249
| spl2_250
| spl2_267 ),
inference(sat_conversion,[],[f51369]) ).
cnf(s4041,plain,
( spl2_267
| spl2_564
| spl2_565 ),
inference(sat_conversion,[],[f51371]) ).
cnf(s4042,plain,
( spl2_250
| spl2_267
| spl2_281
| spl2_610 ),
inference(sat_conversion,[],[f51372]) ).
cnf(s4043,plain,
( spl2_252
| spl2_267
| spl2_284
| spl2_610 ),
inference(sat_conversion,[],[f51373]) ).
cnf(s4044,plain,
( ~ spl2_245
| spl2_252
| spl2_267
| spl2_610 ),
inference(sat_conversion,[],[f51374]) ).
cnf(s4046,plain,
( ~ spl2_245
| spl2_252
| spl2_267
| spl2_334 ),
inference(sat_conversion,[],[f51376]) ).
cnf(s4047,plain,
( spl2_250
| spl2_267
| spl2_284
| spl2_610 ),
inference(sat_conversion,[],[f51377]) ).
cnf(s4050,plain,
( spl2_226
| spl2_246
| ~ spl2_281 ),
inference(sat_conversion,[],[f51385]) ).
cnf(s4052,plain,
( spl2_8
| ~ spl2_284
| spl2_317 ),
inference(sat_conversion,[],[f51391]) ).
cnf(s4057,plain,
( spl2_146
| ~ spl2_160
| spl2_171 ),
inference(sat_conversion,[],[f51412]) ).
cnf(s4059,plain,
( spl2_17
| ~ spl2_260
| spl2_322 ),
inference(sat_conversion,[],[f51418]) ).
cnf(s4069,plain,
( spl2_5
| spl2_383
| spl2_577
| ~ spl2_647 ),
inference(sat_conversion,[],[f51499]) ).
cnf(s4070,plain,
( spl2_8
| spl2_636
| ~ spl2_647 ),
inference(sat_conversion,[],[f51500]) ).
cnf(s4071,plain,
( ~ spl2_141
| ~ spl2_145
| ~ spl2_160 ),
inference(sat_conversion,[],[f51524]) ).
cnf(s4072,plain,
( ~ spl2_264
| spl2_267
| ~ spl2_728 ),
inference(sat_conversion,[],[f51577]) ).
cnf(s4075,plain,
( ~ spl2_280
| spl2_347
| spl2_354 ),
inference(sat_conversion,[],[f51597]) ).
cnf(s4081,plain,
( ~ spl2_148
| ~ spl2_581
| ~ spl2_647 ),
inference(sat_conversion,[],[f51717]) ).
cnf(s4085,plain,
( spl2_17
| ~ spl2_571
| spl2_572 ),
inference(sat_conversion,[],[f51728]) ).
cnf(s4088,plain,
( ~ spl2_145
| spl2_577
| ~ spl2_582 ),
inference(sat_conversion,[],[f51743]) ).
cnf(s4094,plain,
( spl2_20
| ~ spl2_275
| ~ spl2_347 ),
inference(sat_conversion,[],[f51848]) ).
cnf(s4098,plain,
( ~ spl2_135
| ~ spl2_141
| ~ spl2_171 ),
inference(sat_conversion,[],[f51881]) ).
cnf(s4099,plain,
( ~ spl2_171
| spl2_184 ),
inference(sat_conversion,[],[f51884]) ).
cnf(s4117,plain,
( ~ spl2_135
| ~ spl2_582
| ~ spl2_636 ),
inference(sat_conversion,[],[f52113]) ).
cnf(s4121,plain,
( ~ spl2_260
| spl2_580
| ~ spl2_721 ),
inference(sat_conversion,[],[f52153]) ).
cnf(s4131,plain,
( ~ spl2_565
| spl2_610
| spl2_647 ),
inference(sat_conversion,[],[f52198]) ).
cnf(s4140,plain,
( spl2_31
| ~ spl2_38 ),
inference(rat,[],[s240,s349]) ).
cnf(s4143,plain,
~ spl2_38,
inference(rat,[],[s4140,s156]) ).
cnf(s4144,plain,
~ spl2_33,
inference(rat,[],[s190,s156]) ).
cnf(s4205,plain,
~ spl2_30,
inference(rat,[],[s44,s4143]) ).
cnf(s4208,plain,
( ~ spl2_6
| ~ spl2_8
| ~ spl2_23 ),
inference(rat,[],[s35,s4205]) ).
cnf(s4211,plain,
( spl2_118
| spl2_122
| spl2_255
| spl2_270
| ~ spl2_9
| ~ spl2_7
| spl2_17
| spl2_5
| spl2_20 ),
inference(rat,[],[s3465,s3582,s3585,s3774,s3829,s3471,s1361,s4041,s2594,s2613,s2614,s943,s2607,s2726,s3076,s3705,s972,s1466,s3581,s698,s1013,s1204,s1411,s1187,s462,s1179,s459,s468]) ).
cnf(s4212,plain,
( ~ spl2_226
| spl2_141
| spl2_320
| spl2_122
| spl2_5 ),
inference(rat,[],[s3465,s3582,s3585]) ).
cnf(s4213,plain,
( spl2_260
| spl2_226
| ~ spl2_564
| ~ spl2_353
| ~ spl2_585
| spl2_122
| spl2_255 ),
inference(rat,[],[s3774,s3829,s1361,s3471,s1490,s2593]) ).
cnf(s4214,plain,
( ~ spl2_121
| spl2_13
| spl2_6
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s1397,s4052,s1231,s1255,s4213,s4212,s4041,s2614,s2607,s2726,s3076,s972,s1466,s3581,s499,s4025,s1013,s1204,s1235,s1411,s78,s3964,s1158,s932,s1345,s385,s3963,s20]) ).
cnf(s4216,plain,
( ~ spl2_252
| ~ spl2_272
| spl2_135
| ~ spl2_317
| spl2_255 ),
inference(rat,[],[s3512,s3621,s3133]) ).
cnf(s4217,plain,
( ~ spl2_562
| ~ spl2_272
| spl2_135
| ~ spl2_317
| spl2_270 ),
inference(rat,[],[s3618,s3860]) ).
cnf(s4218,plain,
( ~ spl2_284
| spl2_226
| spl2_240
| spl2_121
| ~ spl2_118
| spl2_122
| spl2_255
| spl2_270
| ~ spl2_7
| spl2_8
| spl2_17
| ~ spl2_4 ),
inference(rat,[],[s4070,s3845,s3805,s4085,s2612,s4009,s3504,s3546,s4217,s3884,s1485,s2590,s4039,s4216,s4031,s4012,s3738,s3739,s3750,s1404,s2948,s3691,s4025,s3689,s1223,s551,s1255,s1206,s3977,s4052,s3963,s462]) ).
cnf(s4220,plain,
( ~ spl2_571
| ~ spl2_272
| spl2_135
| ~ spl2_245
| spl2_13
| ~ spl2_7
| spl2_8
| ~ spl2_4 ),
inference(rat,[],[s3504,s3860,s3786,s4070,s3574,s3805,s1158,s932,s385,s3963]) ).
cnf(s4221,plain,
( ~ spl2_276
| ~ spl2_564
| spl2_275
| spl2_571
| ~ spl2_272
| spl2_135
| spl2_141
| spl2_122
| spl2_255
| spl2_270
| spl2_8 ),
inference(rat,[],[s3184,s3354,s3470,s3860,s3621,s3504,s1360,s2612,s2590]) ).
cnf(s4222,plain,
( ~ spl2_562
| ~ spl2_564
| spl2_267
| ~ spl2_272
| ~ spl2_323
| spl2_135
| ~ spl2_137
| spl2_255
| spl2_270
| spl2_8
| spl2_5 ),
inference(rat,[],[s3659,s3501,s4042,s3184,s3307,s3674,s3354,s4069,s4010,s3860,s3622]) ).
cnf(s4223,plain,
( ~ spl2_647
| spl2_577
| ~ spl2_564
| spl2_267
| ~ spl2_323
| spl2_135
| spl2_284
| spl2_255
| spl2_8
| spl2_5 ),
inference(rat,[],[s3659,s4047,s3501,s3184,s3307,s3354,s4069]) ).
cnf(s4224,plain,
( spl2_647
| ~ spl2_585
| ~ spl2_323
| spl2_135
| spl2_226
| spl2_255
| spl2_270
| ~ spl2_41 ),
inference(rat,[],[s3712,s4050,s2594,s2666,s3471,s3862,s3557]) ).
cnf(s4225,plain,
( ~ spl2_564
| ~ spl2_647
| spl2_267
| ~ spl2_272
| ~ spl2_323
| spl2_135
| spl2_284
| ~ spl2_137
| spl2_255
| spl2_270
| spl2_8
| spl2_5 ),
inference(rat,[],[s3786,s3504,s4223,s4222,s1181]) ).
cnf(s4226,plain,
( spl2_135
| ~ spl2_243
| spl2_226
| ~ spl2_137
| spl2_13
| spl2_6
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s3659,s4047,s3501,s3184,s3896,s3901,s2607,s2614,s4041,s4225,s4224,s3076,s4220,s4031,s4012,s3738,s3739,s3750,s1392,s3327,s1181,s4218,s1421,s4214,s4211,s27,s1345,s932,s1158,s385,s3963,s3964,s20,s78,s3976]) ).
cnf(s4227,plain,
( spl2_226
| spl2_141
| spl2_13
| spl2_6
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s3621,s4044,s3470,s4031,s3736,s1564,s551,s3738,s4025,s3747,s4226,s3465,s1181,s4218,s4211,s1345,s932,s1158,s385,s3963,s20,s3964,s78,s27,s4214,s1421,s1095]) ).
cnf(s4228,plain,
( ~ spl2_564
| ~ spl2_383
| spl2_267
| spl2_571
| ~ spl2_272
| ~ spl2_266
| spl2_135
| ~ spl2_276
| ~ spl2_245
| spl2_141
| spl2_122
| spl2_255
| spl2_270
| spl2_8
| spl2_20 ),
inference(rat,[],[s3813,s4075,s4046,s3501,s4094,s3307,s4221]) ).
cnf(s4229,plain,
( spl2_141
| spl2_13
| spl2_6
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s4046,s3621,s3896,s985,s2607,s2562,s2614,s4041,s4228,s4069,s4010,s3860,s3622,s3504,s2612,s4031,s4220,s1564,s3738,s3750,s2948,s3976,s1203,s3689,s1223,s3465,s1181,s4212,s1249,s3585,s4227,s1421,s1095,s27,s3964,s1158,s932,s1345,s385,s3963,s20,s462,s4214]) ).
cnf(s4230,plain,
( spl2_135
| spl2_284
| ~ spl2_141
| spl2_13
| ~ spl2_7
| spl2_8
| ~ spl2_4 ),
inference(rat,[],[s1249,s3739,s1223,s3865,s2612,s3471,s3504,s2666,s3860,s3557,s3354,s4041,s2614,s2607,s3901,s3184,s3512,s4072,s1151,s2917,s4220,s3936,s3955,s4071,s3738,s4024,s3750,s3976,s1395,s1392,s3538,s27,s1158,s932,s1345,s385,s3963,s1181]) ).
cnf(s4231,plain,
( ~ spl2_226
| spl2_320
| spl2_121
| spl2_122
| spl2_20 ),
inference(rat,[],[s3691,s1404,s1223,s3582,s1249]) ).
cnf(s4232,plain,
( ~ spl2_560
| ~ spl2_279
| spl2_226
| spl2_565
| spl2_160
| spl2_122 ),
inference(rat,[],[s2950,s3405,s3739,s3656,s467,s1151,s4041,s3829]) ).
cnf(s4233,plain,
( ~ spl2_135
| ~ spl2_141
| spl2_121
| ~ spl2_118
| spl2_122
| spl2_255
| ~ spl2_9
| spl2_8
| ~ spl2_41
| spl2_5
| spl2_20 ),
inference(rat,[],[s3685,s3712,s1359,s4050,s3955,s2666,s3471,s4232,s3774,s4231,s1361,s4131,s1285,s3736,s3745,s3746,s4057,s1178,s551,s4024,s4098,s1187,s4025,s3747,s1203]) ).
cnf(s4234,plain,
( spl2_13
| spl2_6
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s3471,s2666,s3870,s2969,s3574,s3805,s2612,s3504,s4217,s3955,s3738,s3750,s3739,s1404,s3751,s2948,s3691,s1421,s3689,s1223,s4218,s1255,s3585,s3977,s4052,s4230,s499,s4233,s4229,s462,s4214,s4211,s1345,s932,s1158,s27,s78,s3327,s3964,s385,s3963,s20]) ).
cnf(s4235,plain,
( spl2_284
| spl2_122
| spl2_135
| spl2_610 ),
inference(rat,[],[s3621,s4043,s3512,s1151,s3443,s1564,s3738,s3750,s3976,s1395,s1392,s3538]) ).
cnf(s4236,plain,
( spl2_6
| spl2_5
| ~ spl2_4 ),
inference(rat,[],[s3659,s3739,s3509,s4042,s2667,s925,s4050,s3494,s4030,s3585,s4008,s4235,s820,s1176,s3887,s3712,s1175,s2972,s10,s4234,s385,s3963,s20,s3327,s78]) ).
cnf(s4237,plain,
( spl2_135
| spl2_122
| spl2_270
| spl2_8
| ~ spl2_24
| ~ spl2_29
| ~ spl2_6
| ~ spl2_4 ),
inference(rat,[],[s966,s4040,s1131,s974,s941,s993,s1416,s1839,s1235,s807,s2096,s2174,s677,s488,s374,s935,s385,s3963]) ).
cnf(s4238,plain,
( spl2_5
| spl2_1 ),
inference(rat,[],[s1361,s1298,s1285,s551,s468,s1178,s1187,s4025,s4237,s935,s1353,s1165,s385,s445,s3963,s29,s3965,s30,s622,s22,s28,s290,s374,s4236,s78,s27,s1303]) ).
cnf(s4239,plain,
spl2_1,
inference(rat,[],[s290,s15,s3327,s11,s1090,s4238,s27,s1303]) ).
cnf(s4240,plain,
( spl2_6
| ~ spl2_4 ),
inference(rat,[],[s1090,s4236,s3327]) ).
cnf(s4241,plain,
( spl2_135
| spl2_122
| ~ spl2_4 ),
inference(rat,[],[s21,s4208,s4237,s22,s28,s1410,s1168,s690,s1204,s3338,s1118,s677,s1541,s750,s4240,s27,s4239]) ).
cnf(s4242,plain,
( spl2_8
| ~ spl2_24
| spl2_122
| ~ spl2_4 ),
inference(rat,[],[s1361,s1298,s1285,s551,s468,s1178,s935,s1187,s385,s4025,s3963,s4240,s4241]) ).
cnf(s4243,plain,
( spl2_17
| spl2_122
| ~ spl2_4 ),
inference(rat,[],[s21,s4208,s4242,s22,s4240]) ).
cnf(s4244,plain,
( spl2_122
| ~ spl2_4 ),
inference(rat,[],[s11,s78,s79,s4243,s3475,s4241]) ).
cnf(s4245,plain,
~ spl2_4,
inference(rat,[],[s1554,s1325,s1371,s1373,s1119,s1352,s1332,s4244,s4240,s27]) ).
cnf(s4247,plain,
spl2_84,
inference(rat,[],[s3508,s4245]) ).
cnf(s4248,plain,
spl2_3,
inference(rat,[],[s1304,s4245]) ).
cnf(s4249,plain,
spl2_2,
inference(rat,[],[s4,s4245]) ).
cnf(s4250,plain,
( spl2_135
| spl2_6
| spl2_122 ),
inference(rat,[],[s1769,s3825,s1847,s966,s1028,s4040,s2726,s2840,s972,s746,s991,s1466,s836,s2868,s3453,s1013,s733,s1411,s1851,s1371,s748,s3531,s1410,s698,s1204,s1561,s1366,s17,s4017,s668,s1570,s488,s754,s1541,s1090,s3327,s4248,s4245,s4247,s4239]) ).
cnf(s4252,plain,
( spl2_141
| spl2_17
| spl2_14
| spl2_255
| spl2_8
| spl2_6
| spl2_122 ),
inference(rat,[],[s2600,s2564,s3504,s2466,s2478,s836,s3471,s777,s1411,s2438,s462,s1160,s3692,s3494,s2950,s3825,s4008,s3739,s1769,s3465,s1404,s2714,s2653,s1037,s1053,s1080,s1764,s1839,s1627,s2815,s2840,s2181,s1844,s2868,s2732,s1851,s664,s4018,s764,s4212,s746,s747,s1095,s1203,s3747,s4250,s1090,s2997,s600,s3965,s3327,s4247,s4245,s4248]) ).
cnf(s4253,plain,
( spl2_571
| ~ spl2_635
| ~ spl2_353
| spl2_267 ),
inference(rat,[],[s4041,s3354,s2614,s3708,s4245]) ).
cnf(s4254,plain,
( ~ spl2_571
| spl2_284
| ~ spl2_7
| ~ spl2_16
| spl2_255 ),
inference(rat,[],[s3504,s3786,s3379,s3574,s1181]) ).
cnf(s4255,plain,
( spl2_267
| spl2_571
| ~ spl2_667
| ~ spl2_7
| spl2_8 ),
inference(rat,[],[s4253,s3184,s2607,s3516,s3898,s4245]) ).
cnf(s4256,plain,
( spl2_284
| spl2_121
| spl2_17
| spl2_255
| spl2_8
| spl2_6
| spl2_122 ),
inference(rat,[],[s1361,s3162,s1511,s3373,s1128,s2683,s4255,s4254,s4050,s4231,s748,s3337,s1363,s4059,s1103,s1402,s1022,s1181,s1203,s4250,s600,s3965,s3327,s4245,s4239,s4247]) ).
cnf(s4257,plain,
( ~ spl2_636
| spl2_266
| ~ spl2_284
| spl2_255
| ~ spl2_135 ),
inference(rat,[],[s2591,s3207,s3471,s4117,s3675]) ).
cnf(s4258,plain,
( spl2_17
| spl2_14
| spl2_255
| spl2_8
| spl2_6
| spl2_122 ),
inference(rat,[],[s3471,s2666,s3240,s2969,s4070,s4257,s4050,s3712,s3689,s3692,s2950,s3937,s3585,s4256,s462,s1013,s4252,s3965,s600,s1090,s3327,s4025,s4250,s4247]) ).
cnf(s4259,plain,
( ~ spl2_17
| spl2_6
| spl2_122 ),
inference(rat,[],[s1359,s3955,s3685,s1435,s1374,s3490,s4024,s1691,s4013,s1178,s1376,s1410,s1203,s3747,s4250,s1090,s3327,s4245,s4247]) ).
cnf(s4260,plain,
( spl2_284
| ~ spl2_14
| ~ spl2_16 ),
inference(rat,[],[s3316,s1022,s4247]) ).
cnf(s4261,plain,
( spl2_255
| spl2_8
| spl2_6
| spl2_122 ),
inference(rat,[],[s1507,s1411,s462,s3689,s4121,s3852,s4085,s3708,s3668,s4070,s4257,s2950,s3937,s4260,s4258,s600,s3965,s4259,s3327,s4025,s4250,s4245,s4247]) ).
cnf(s4262,plain,
( spl2_8
| spl2_6
| spl2_122 ),
inference(rat,[],[s3705,s3464,s1314,s4098,s4099,s4057,s3443,s3405,s2950,s3937,s4260,s3453,s4261,s4025,s3747,s4250,s1090,s3327,s600,s4259,s4248,s4245,s4239,s4247]) ).
cnf(s4263,plain,
( spl2_6
| spl2_122 ),
inference(rat,[],[s1359,s3955,s3685,s4024,s1435,s1178,s1492,s1363,s1534,s1539,s3500,s4262,s3747,s4250,s1090,s3327,s4245]) ).
cnf(s4264,plain,
( spl2_284
| spl2_135
| spl2_255
| spl2_122 ),
inference(rat,[],[s1079,s1395,s22,s1410,s4017,s1204,s677,s4263,s4245]) ).
cnf(s4265,plain,
( ~ spl2_266
| ~ spl2_399
| spl2_226
| ~ spl2_565
| ~ spl2_284
| ~ spl2_253
| ~ spl2_188
| ~ spl2_123
| ~ spl2_59
| ~ spl2_183
| spl2_125
| spl2_122 ),
inference(rat,[],[s2561,s985,s2585,s1476,s1755,s2917,s1223,s4012,s1231,s3739]) ).
cnf(s4266,plain,
( spl2_141
| ~ spl2_284
| ~ spl2_253
| ~ spl2_249
| ~ spl2_563
| spl2_564
| ~ spl2_188
| spl2_135
| spl2_122 ),
inference(rat,[],[s2600,s1404,s2576,s1027,s2614,s966,s2607,s1504,s2592,s2950,s4265,s1769,s3585,s1847,s1091,s4041,s1028,s2761,s2703,s746,s1095,s3538,s3705,s698,s748,s1366,s1570,s458,s207,s1238,s28,s754,s1466,s1411,s1410,s4017,s1204,s677,s4263,s4248,s4144,s4245,s4247,s4239]) ).
cnf(s4267,plain,
( spl2_135
| spl2_255
| spl2_8
| spl2_122 ),
inference(rat,[],[s3697,s4088,s2562,s4041,s985,s1151,s1244,s4071,s4024,s4266,s4264,s1360,s1361,s3504,s1478,s2541,s2805,s1844,s995,s2500,s1414,s1416,s1764,s1839,s1464,s1467,s807,s1236,s1168,s2182,s1411,s28,s600,s1371,s3705,s1410,s698,s1204,s1561,s1366,s4017,s677,s1570,s488,s754,s3538,s4263,s4249,s4247,s4245]) ).
cnf(s4268,plain,
( spl2_141
| spl2_17
| ~ spl2_284
| spl2_255
| spl2_8
| spl2_122 ),
inference(rat,[],[s2591,s3471,s3207,s2446,s3205,s777,s689,s4070,s4257,s3937,s4025,s4267,s600,s28,s4263,s4247]) ).
cnf(s4269,plain,
( ~ spl2_121
| spl2_267
| spl2_569
| spl2_226
| spl2_17
| ~ spl2_284
| ~ spl2_135
| spl2_255
| spl2_8
| ~ spl2_6 ),
inference(rat,[],[s3930,s985,s3184,s2561,s4131,s4041,s2539,s2297,s2274,s1755,s1223,s4050,s3241,s3250,s3471,s2591,s2564,s3207,s1411,s3205,s3708,s4070,s4257,s3937,s4025,s291,s28,s22,s4245]) ).
cnf(s4270,plain,
( ~ spl2_610
| ~ spl2_248
| ~ spl2_317
| ~ spl2_135
| spl2_8
| spl2_122 ),
inference(rat,[],[s2602,s1360,s3930,s3133,s3184]) ).
cnf(s4271,plain,
( spl2_17
| ~ spl2_284
| spl2_255
| spl2_8
| spl2_122 ),
inference(rat,[],[s4041,s3395,s4131,s4270,s1404,s3955,s2666,s3471,s3240,s3689,s462,s4269,s1151,s3010,s4024,s4057,s3747,s3585,s4098,s2958,s4268,s600,s4263,s4052,s3405,s2950,s2969,s3708,s4070,s4257,s3937,s4025,s4267,s4247,s4245]) ).
cnf(s4272,plain,
( ~ spl2_284
| spl2_255
| spl2_8
| spl2_122 ),
inference(rat,[],[s3685,s1178,s1374,s1410,s4271,s2967,s2950,s3937,s3977,s1203,s4025,s4267]) ).
cnf(s4274,plain,
( ~ spl2_571
| spl2_281
| ~ spl2_273
| ~ spl2_635
| spl2_267
| ~ spl2_145
| ~ spl2_260
| spl2_284
| spl2_255 ),
inference(rat,[],[s3354,s3557,s4041,s2666,s2562,s3471,s3789,s3886,s3504,s4085,s3379,s1181,s600,s1374,s1402,s1379,s4247,s4245]) ).
cnf(s4275,plain,
( ~ spl2_647
| ~ spl2_273
| spl2_640
| spl2_267
| ~ spl2_191
| ~ spl2_148 ),
inference(rat,[],[s2561,s4041,s4081,s3322]) ).
cnf(s4276,plain,
( spl2_267
| spl2_284
| ~ spl2_135
| spl2_255
| spl2_8
| ~ spl2_6 ),
inference(rat,[],[s3207,s2601,s3789,s3955,s3471,s3504,s4274,s3252,s3361,s3708,s4275,s985,s3930,s3184,s4021,s3822,s4025,s1181,s2104,s3174,s28,s3016,s4260,s600,s4024,s3747,s2958,s771,s22,s1374,s1402,s1379,s1058,s3179,s4247,s4245]) ).
cnf(s4278,plain,
( ~ spl2_266
| ~ spl2_124
| ~ spl2_263
| ~ spl2_141
| spl2_226
| spl2_122 ),
inference(rat,[],[s1361,s1511,s3655,s4050,s3739,s1261]) ).
cnf(s4279,plain,
( spl2_255
| spl2_8
| spl2_122 ),
inference(rat,[],[s3405,s2950,s4278,s467,s1128,s1151,s4276,s4057,s3747,s4098,s2958,s771,s22,s1249,s1374,s1363,s1379,s1402,s3179,s1058,s1181,s4272,s4267,s4263,s4245]) ).
cnf(s4280,plain,
( ~ spl2_255
| ~ spl2_6 ),
inference(rat,[],[s1373,s4059,s1363,s3355,s3497,s1387,s935,s915]) ).
cnf(s4281,plain,
( ~ spl2_8
| ~ spl2_6 ),
inference(rat,[],[s79,s21,s29,s4208,s202,s200]) ).
cnf(s4282,plain,
spl2_122,
inference(rat,[],[s4281,s4279,s4280,s4263]) ).
cnf(s4284,plain,
~ spl2_135,
inference(rat,[],[s1341,s4245,s4282]) ).
cnf(s4288,plain,
spl2_14,
inference(rat,[],[s1342,s4245,s4247,s4282]) ).
cnf(s4297,plain,
spl2_121,
inference(rat,[],[s668,s4247,s4284]) ).
cnf(s4298,plain,
spl2_170,
inference(rat,[],[s4015,s4245,s4284]) ).
cnf(s4299,plain,
~ spl2_123,
inference(rat,[],[s1521,s4288,s4247,s4284]) ).
cnf(s4307,plain,
~ spl2_320,
inference(rat,[],[s1204,s4297]) ).
cnf(s4310,plain,
~ spl2_17,
inference(rat,[],[s1410,s4307,s4298]) ).
cnf(s4312,plain,
$false,
inference(rat,[],[s1411,s4297,s4310,s4299]) ).
thf(f52199,plain,
$false,
inference(avatar_sat_refutation,[],[s4312]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA105^1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n014.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 18:58:30 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.34 % (3070351)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.34 % (3070357)lrs+10_16_si=on:nwc=1.5:random_seed=3648376342:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.34 % (3070362)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.34 % (3070362)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.21/0.34 % (3070357)Instruction limit reached!
% 0.21/0.34 % (3070357)------------------------------
% 0.21/0.34 % (3070357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (3070357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (3070357)CaDiCaL version: 2.1.3
% 0.21/0.34 % (3070357)Termination reason: Instruction limit
% 0.21/0.34 % (3070357)Termination phase: Saturation
% 0.21/0.34 % (3070357)Time elapsed: 0.006 s
% 0.21/0.34 % (3070357)Peak memory usage: 12 MB
% 0.21/0.34 % (3070357)Instructions burned: 23 (million)
% 0.21/0.34 % (3070356)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2686058168:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.34 % (3070358)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1282141792:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.34 % (3070360)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3383366280:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.34 % (3070359)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=363956232:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.21/0.34 % (3070361)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2730086812:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.34 % (3070362)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=104225141:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.34 % (3070358)Instruction limit reached!
% 0.21/0.34 % (3070358)------------------------------
% 0.21/0.34 % (3070358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (3070358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (3070358)CaDiCaL version: 2.1.3
% 0.21/0.34 % (3070358)Termination reason: Instruction limit
% 0.21/0.34 % (3070358)Termination phase: Saturation
% 0.21/0.34 % (3070358)Time elapsed: 0.003 s
% 0.21/0.34 % (3070358)Peak memory usage: 12 MB
% 0.21/0.34 % (3070358)Instructions burned: 4 (million)
% 0.21/0.34 % (3070364)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1774141274:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.34 % (3070364)Instruction limit reached!
% 0.21/0.34 % (3070364)------------------------------
% 0.21/0.34 % (3070364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (3070364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (3070364)CaDiCaL version: 2.1.3
% 0.21/0.34 % (3070364)Termination reason: Instruction limit
% 0.21/0.34 % (3070364)Termination phase: Saturation
% 0.21/0.34 % (3070364)Time elapsed: 0.001 s
% 0.21/0.34 % (3070364)Peak memory usage: 12 MB
% 0.21/0.34 % (3070364)Instructions burned: 2 (million)
% 0.21/0.34 % (3070360)Instruction limit reached!
% 0.21/0.34 % (3070360)------------------------------
% 0.21/0.34 % (3070360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.34 % (3070360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.34 % (3070360)CaDiCaL version: 2.1.3
% 0.21/0.34 % (3070360)Termination reason: Instruction limit
% 0.21/0.34 % (3070360)Termination phase: Saturation
% 0.21/0.34 % (3070360)Time elapsed: 0.014 s
% 0.21/0.34 % (3070360)Peak memory usage: 12 MB
% 0.21/0.34 % (3070360)Instructions burned: 26 (million)
% 0.21/0.34 % (3070373)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.83/0.37 % (3070373)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2478331728:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.83/0.37 % (3070371)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3690979137:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.83/0.37 % (3070373)Instruction limit reached!
% 0.83/0.37 % (3070373)------------------------------
% 0.83/0.37 % (3070373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.37 % (3070373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.37 % (3070373)CaDiCaL version: 2.1.3
% 0.83/0.37 % (3070373)Termination reason: Instruction limit
% 0.83/0.37 % (3070373)Termination phase: Saturation
% 0.83/0.37 % (3070373)Time elapsed: 0.003 s
% 0.83/0.37 % (3070373)Peak memory usage: 12 MB
% 0.83/0.37 % (3070373)Instructions burned: 10 (million)
% 0.83/0.37 % (3070371)Instruction limit reached!
% 0.83/0.37 % (3070371)------------------------------
% 0.83/0.37 % (3070371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.37 % (3070371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.37 % (3070371)CaDiCaL version: 2.1.3
% 0.83/0.37 % (3070371)Termination reason: Instruction limit
% 0.83/0.37 % (3070371)Termination phase: Saturation
% 0.83/0.37 % (3070371)Time elapsed: 0.004 s
% 0.83/0.37 % (3070371)Peak memory usage: 12 MB
% 0.83/0.37 % (3070371)Instructions burned: 6 (million)
% 0.83/0.37 % (3070377)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.83/0.37 % (3070377)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.83/0.37 % (3070374)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3972877661:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.83/0.37 % (3070377)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2521739449:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.83/0.37 % (3070361)Instruction limit reached!
% 0.83/0.37 % (3070361)------------------------------
% 0.83/0.37 % (3070361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.37 % (3070361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.37 % (3070361)CaDiCaL version: 2.1.3
% 0.83/0.37 % (3070361)Termination reason: Instruction limit
% 0.83/0.37 % (3070361)Termination phase: Saturation
% 0.83/0.37 % (3070361)Time elapsed: 0.037 s
% 0.83/0.37 % (3070361)Peak memory usage: 12 MB
% 0.83/0.37 % (3070361)Instructions burned: 77 (million)
% 0.83/0.37 % (3070356)Instruction limit reached!
% 0.83/0.37 % (3070356)------------------------------
% 0.83/0.37 % (3070356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.37 % (3070356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.37 % (3070356)CaDiCaL version: 2.1.3
% 0.83/0.37 % (3070356)Termination reason: Instruction limit
% 0.83/0.37 % (3070356)Termination phase: Saturation
% 0.83/0.37 % (3070356)Time elapsed: 0.038 s
% 0.83/0.37 % (3070356)Peak memory usage: 12 MB
% 0.83/0.37 % (3070356)Instructions burned: 88 (million)
% 0.83/0.37 % (3070374)Instruction limit reached!
% 0.83/0.37 % (3070374)------------------------------
% 0.83/0.37 % (3070374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.37 % (3070374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.37 % (3070374)CaDiCaL version: 2.1.3
% 0.83/0.37 % (3070374)Termination reason: Instruction limit
% 0.83/0.37 % (3070374)Termination phase: Saturation
% 0.83/0.37 % (3070374)Time elapsed: 0.007 s
% 0.83/0.37 % (3070374)Peak memory usage: 12 MB
% 0.83/0.37 % (3070374)Instructions burned: 12 (million)
% 0.83/0.37 % (3070377)Instruction limit reached!
% 0.83/0.37 % (3070377)------------------------------
% 0.83/0.37 % (3070377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.37 % (3070377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.37 % (3070377)CaDiCaL version: 2.1.3
% 0.83/0.37 % (3070377)Termination reason: Instruction limit
% 0.83/0.39 % (3070377)Termination phase: Saturation
% 0.83/0.39 % (3070377)Time elapsed: 0.007 s
% 0.83/0.39 % (3070377)Peak memory usage: 12 MB
% 0.83/0.39 % (3070377)Instructions burned: 28 (million)
% 0.83/0.39 % (3070378)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=3112927960:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.83/0.39 % (3070384)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1874387033:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.83/0.39 % (3070384)Refutation not found, incomplete strategy
% 0.83/0.39 % (3070384)------------------------------
% 0.83/0.39 % (3070384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.39 % (3070384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.39 % (3070384)CaDiCaL version: 2.1.3
% 0.83/0.39 % (3070384)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.39 % (3070384)Time elapsed: 0.0000 s
% 0.83/0.39 % (3070384)Peak memory usage: 11 MB
% 0.83/0.39 % (3070384)------------------------------
% 0.83/0.39 % (3070384)------------------------------
% 0.83/0.39 % (3070382)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.83/0.39 % (3070381)lrs+10_1_si=on:cs=on:random_seed=522173729:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.83/0.39 % (3070382)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=1093214469:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.83/0.39 % (3070383)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2215278856:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.83/0.39 % (3070382)Instruction limit reached!
% 0.83/0.39 % (3070382)------------------------------
% 0.83/0.39 % (3070382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.39 % (3070382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.39 % (3070382)CaDiCaL version: 2.1.3
% 0.83/0.39 % (3070382)Termination reason: Instruction limit
% 0.83/0.39 % (3070382)Termination phase: Saturation
% 0.83/0.39 % (3070382)Time elapsed: 0.003 s
% 0.83/0.39 % (3070382)Peak memory usage: 11 MB
% 0.83/0.39 % (3070382)Instructions burned: 6 (million)
% 0.83/0.39 % (3070383)Refutation not found, incomplete strategy
% 0.83/0.39 % (3070383)------------------------------
% 0.83/0.39 % (3070383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.39 % (3070383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.39 % (3070383)CaDiCaL version: 2.1.3
% 0.83/0.39 % (3070383)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.39 % (3070383)Time elapsed: 0.001 s
% 0.83/0.39 % (3070383)Peak memory usage: 11 MB
% 0.83/0.39 % (3070383)------------------------------
% 0.83/0.39 % (3070383)------------------------------
% 0.83/0.39 % (3070381)Instruction limit reached!
% 0.83/0.39 % (3070381)------------------------------
% 0.83/0.39 % (3070381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.39 % (3070381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.39 % (3070381)CaDiCaL version: 2.1.3
% 0.83/0.39 % (3070381)Termination reason: Instruction limit
% 0.83/0.39 % (3070381)Termination phase: Saturation
% 0.83/0.39 % (3070381)Time elapsed: 0.005 s
% 0.83/0.39 % (3070381)Peak memory usage: 12 MB
% 0.83/0.39 % (3070381)Instructions burned: 9 (million)
% 0.83/0.39 % (3070387)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1452043355:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.83/0.39 % (3070387)Refutation not found, incomplete strategy
% 0.83/0.39 % (3070387)------------------------------
% 0.83/0.39 % (3070387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.39 % (3070387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.39 % (3070387)CaDiCaL version: 2.1.3
% 0.83/0.39 % (3070387)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.39 % (3070387)Time elapsed: 0.0000 s
% 0.83/0.39 % (3070387)Peak memory usage: 11 MB
% 0.83/0.39 % (3070362)Instruction limit reached!
% 0.83/0.39 % (3070362)------------------------------
% 0.83/0.42 % (3070362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (3070362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (3070362)CaDiCaL version: 2.1.3
% 0.83/0.42 % (3070362)Termination reason: Instruction limit
% 0.83/0.42 % (3070362)Termination phase: Saturation
% 0.83/0.42 % (3070362)Time elapsed: 0.063 s
% 0.83/0.42 % (3070362)Peak memory usage: 12 MB
% 0.83/0.42 % (3070362)Instructions burned: 159 (million)
% 0.83/0.42 % (3070387)------------------------------
% 0.83/0.42 % (3070387)------------------------------
% 0.83/0.42 % (3070396)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=146012517:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.83/0.42 % (3070391)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3958632077:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.83/0.42 % (3070392)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=704609019:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.83/0.42 % (3070394)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1559731312:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.83/0.42 % (3070392)Refutation not found, incomplete strategy
% 0.83/0.42 % (3070392)------------------------------
% 0.83/0.42 % (3070392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (3070392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (3070392)CaDiCaL version: 2.1.3
% 0.83/0.42 % (3070392)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.42 % (3070392)Time elapsed: 0.001 s
% 0.83/0.42 % (3070392)Peak memory usage: 11 MB
% 0.83/0.42 % (3070392)Instructions burned: 1 (million)
% 0.83/0.42 % (3070396)Instruction limit reached!
% 0.83/0.42 % (3070396)------------------------------
% 0.83/0.42 % (3070396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (3070396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (3070396)CaDiCaL version: 2.1.3
% 0.83/0.42 % (3070396)Termination reason: Instruction limit
% 0.83/0.42 % (3070396)Termination phase: Saturation
% 0.83/0.42 % (3070396)Time elapsed: 0.007 s
% 0.83/0.42 % (3070396)Peak memory usage: 12 MB
% 0.83/0.42 % (3070396)Instructions burned: 26 (million)
% 0.83/0.42 % (3070392)------------------------------
% 0.83/0.42 % (3070392)------------------------------
% 0.83/0.42 % (3070395)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=61588398:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.83/0.42 % (3070395)Refutation not found, incomplete strategy
% 0.83/0.42 % (3070395)------------------------------
% 0.83/0.42 % (3070395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (3070395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (3070395)CaDiCaL version: 2.1.3
% 0.83/0.42 % (3070395)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.42 % (3070395)Time elapsed: 0.001 s
% 0.83/0.42 % (3070395)Peak memory usage: 11 MB
% 0.83/0.42 % (3070395)------------------------------
% 0.83/0.42 % (3070395)------------------------------
% 0.83/0.42 % (3070378)Instruction limit reached!
% 0.83/0.42 % (3070378)------------------------------
% 0.83/0.42 % (3070378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (3070378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (3070378)CaDiCaL version: 2.1.3
% 0.83/0.42 % (3070378)Termination reason: Instruction limit
% 0.83/0.42 % (3070378)Termination phase: Saturation
% 0.83/0.42 % (3070378)Time elapsed: 0.041 s
% 0.83/0.42 % (3070378)Peak memory usage: 12 MB
% 0.83/0.42 % (3070378)Instructions burned: 86 (million)
% 0.83/0.42 % (3070391)Instruction limit reached!
% 0.83/0.42 % (3070391)------------------------------
% 0.83/0.42 % (3070391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (3070391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (3070391)CaDiCaL version: 2.1.3
% 0.83/0.42 % (3070391)Termination reason: Instruction limit
% 0.83/0.42 % (3070391)Termination phase: Saturation
% 0.83/0.42 % (3070391)Time elapsed: 0.009 s
% 0.83/0.42 % (3070391)Peak memory usage: 12 MB
% 0.83/0.45 % (3070391)Instructions burned: 15 (million)
% 0.83/0.45 % (3070394)Instruction limit reached!
% 0.83/0.45 % (3070394)------------------------------
% 0.83/0.45 % (3070394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.45 % (3070394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.45 % (3070394)CaDiCaL version: 2.1.3
% 0.83/0.45 % (3070394)Termination reason: Instruction limit
% 0.83/0.45 % (3070394)Termination phase: Saturation
% 0.83/0.45 % (3070394)Time elapsed: 0.008 s
% 0.83/0.45 % (3070394)Peak memory usage: 12 MB
% 0.83/0.45 % (3070394)Instructions burned: 15 (million)
% 0.83/0.45 % (3070401)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=880773028:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.83/0.45 % (3070401)Instruction limit reached!
% 0.83/0.45 % (3070401)------------------------------
% 0.83/0.45 % (3070401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.45 % (3070401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.45 % (3070401)CaDiCaL version: 2.1.3
% 0.83/0.45 % (3070401)Termination reason: Instruction limit
% 0.83/0.45 % (3070401)Termination phase: Saturation
% 0.83/0.45 % (3070401)Time elapsed: 0.006 s
% 0.83/0.45 % (3070401)Peak memory usage: 12 MB
% 0.83/0.45 % (3070401)Instructions burned: 28 (million)
% 0.83/0.45 % (3070404)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.83/0.45 % (3070404)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.83/0.45 % (3070403)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3686502453:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.83/0.45 % (3070405)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.83/0.45 % (3070404)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=4244059827:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.83/0.45 % (3070405)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=195143714:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.83/0.45 % (3070406)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=1327205446:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.83/0.45 % (3070407)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1538675340:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.83/0.45 % (3070409)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3117274154:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.83/0.45 % (3070405)Instruction limit reached!
% 0.83/0.45 % (3070405)------------------------------
% 0.83/0.45 % (3070405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.45 % (3070405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.45 % (3070405)CaDiCaL version: 2.1.3
% 0.83/0.45 % (3070405)Termination reason: Instruction limit
% 0.83/0.45 % (3070405)Termination phase: Saturation
% 0.83/0.45 % (3070405)Time elapsed: 0.005 s
% 0.83/0.45 % (3070405)Peak memory usage: 12 MB
% 0.83/0.45 % (3070405)Instructions burned: 8 (million)
% 0.83/0.45 % (3070404)Instruction limit reached!
% 0.83/0.45 % (3070404)------------------------------
% 0.83/0.45 % (3070404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.45 % (3070404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.45 % (3070404)CaDiCaL version: 2.1.3
% 0.83/0.45 % (3070404)Termination reason: Instruction limit
% 0.83/0.45 % (3070404)Termination phase: Saturation
% 0.83/0.45 % (3070404)Time elapsed: 0.008 s
% 0.83/0.45 % (3070404)Peak memory usage: 12 MB
% 0.83/0.45 % (3070404)Instructions burned: 14 (million)
% 0.83/0.45 % (3070407)Instruction limit reached!
% 0.83/0.45 % (3070407)------------------------------
% 1.57/0.48 % (3070407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.48 % (3070407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.48 % (3070407)CaDiCaL version: 2.1.3
% 1.57/0.48 % (3070407)Termination reason: Instruction limit
% 1.57/0.48 % (3070407)Termination phase: Saturation
% 1.57/0.48 % (3070407)Time elapsed: 0.004 s
% 1.57/0.48 % (3070407)Peak memory usage: 12 MB
% 1.57/0.48 % (3070407)Instructions burned: 7 (million)
% 1.57/0.48 % (3070409)Instruction limit reached!
% 1.57/0.48 % (3070409)------------------------------
% 1.57/0.48 % (3070409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.48 % (3070409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.48 % (3070409)CaDiCaL version: 2.1.3
% 1.57/0.48 % (3070409)Termination reason: Instruction limit
% 1.57/0.48 % (3070409)Termination phase: Saturation
% 1.57/0.48 % (3070409)Time elapsed: 0.005 s
% 1.57/0.48 % (3070409)Peak memory usage: 11 MB
% 1.57/0.48 % (3070409)Instructions burned: 25 (million)
% 1.57/0.48 % (3070406)Instruction limit reached!
% 1.57/0.48 % (3070406)------------------------------
% 1.57/0.48 % (3070406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.48 % (3070406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.48 % (3070406)CaDiCaL version: 2.1.3
% 1.57/0.48 % (3070406)Termination reason: Instruction limit
% 1.57/0.48 % (3070406)Termination phase: Saturation
% 1.57/0.48 % (3070406)Time elapsed: 0.016 s
% 1.57/0.48 % (3070406)Peak memory usage: 12 MB
% 1.57/0.48 % (3070406)Instructions burned: 31 (million)
% 1.57/0.48 % (3070419)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=651968473:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.57/0.48 % (3070419)Refutation not found, incomplete strategy
% 1.57/0.48 % (3070419)------------------------------
% 1.57/0.48 % (3070419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.48 % (3070419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.48 % (3070419)CaDiCaL version: 2.1.3
% 1.57/0.48 % (3070419)Termination reason: Refutation not found, incomplete strategy
% 1.57/0.48 % (3070419)Time elapsed: 0.0000 s
% 1.57/0.48 % (3070419)Peak memory usage: 11 MB
% 1.57/0.48 % (3070419)Instructions burned: 1 (million)
% 1.57/0.48 % (3070419)------------------------------
% 1.57/0.48 % (3070419)------------------------------
% 1.57/0.48 % (3070416)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=863109607:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.57/0.48 % (3070417)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2101955073:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.57/0.48 % (3070418)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=538730626:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.57/0.48 % (3070422)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.57/0.48 % (3070403)Instruction limit reached!
% 1.57/0.48 % (3070403)------------------------------
% 1.57/0.48 % (3070403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.48 % (3070403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.48 % (3070403)CaDiCaL version: 2.1.3
% 1.57/0.48 % (3070403)Termination reason: Instruction limit
% 1.57/0.48 % (3070403)Termination phase: Saturation
% 1.57/0.48 % (3070403)Time elapsed: 0.033 s
% 1.57/0.48 % (3070403)Peak memory usage: 12 MB
% 1.57/0.48 % (3070403)Instructions burned: 61 (million)
% 1.57/0.48 % (3070422)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=699818487:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.57/0.48 % (3070422)Instruction limit reached!
% 1.57/0.48 % (3070422)------------------------------
% 1.57/0.48 % (3070422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.48 % (3070422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.48 % (3070422)CaDiCaL version: 2.1.3
% 1.57/0.48 % (3070422)Termination reason: Instruction limit
% 1.57/0.48 % (3070422)Termination phase: Saturation
% 1.57/0.48 % (3070422)Time elapsed: 0.003 s
% 1.57/0.48 % (3070422)Peak memory usage: 12 MB
% 1.57/0.54 % (3070422)Instructions burned: 11 (million)
% 1.57/0.54 % (3070420)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3406642158:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.57/0.54 % (3070416)Instruction limit reached!
% 1.57/0.54 % (3070416)------------------------------
% 1.57/0.54 % (3070416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.54 % (3070416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.54 % (3070416)CaDiCaL version: 2.1.3
% 1.57/0.54 % (3070416)Termination reason: Instruction limit
% 1.57/0.54 % (3070416)Termination phase: Saturation
% 1.57/0.54 % (3070416)Time elapsed: 0.012 s
% 1.57/0.54 % (3070416)Peak memory usage: 12 MB
% 1.57/0.54 % (3070416)Instructions burned: 20 (million)
% 1.57/0.54 % (3070428)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=1042026990:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.57/0.54 % (3070428)Refutation not found, incomplete strategy
% 1.57/0.54 % (3070428)------------------------------
% 1.57/0.54 % (3070428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.54 % (3070428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.54 % (3070428)CaDiCaL version: 2.1.3
% 1.57/0.54 % (3070428)Termination reason: Refutation not found, incomplete strategy
% 1.57/0.54 % (3070428)Time elapsed: 0.0000 s
% 1.57/0.54 % (3070428)Peak memory usage: 12 MB
% 1.57/0.54 % (3070428)------------------------------
% 1.57/0.54 % (3070428)------------------------------
% 1.57/0.54 % (3070426)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1093197540:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.57/0.54 % (3070426)Refutation not found, incomplete strategy
% 1.57/0.54 % (3070426)------------------------------
% 1.57/0.54 % (3070426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.54 % (3070426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.54 % (3070426)CaDiCaL version: 2.1.3
% 1.57/0.54 % (3070426)Termination reason: Refutation not found, incomplete strategy
% 1.57/0.54 % (3070426)Time elapsed: 0.001 s
% 1.57/0.54 % (3070426)Peak memory usage: 11 MB
% 1.57/0.54 % (3070426)Instructions burned: 1 (million)
% 1.57/0.54 % (3070426)------------------------------
% 1.57/0.54 % (3070426)------------------------------
% 1.57/0.54 % (3070430)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.57/0.54 % (3070432)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=305350126:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.57/0.54 % (3070430)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=730697694:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.57/0.54 % (3070430)Refutation not found, incomplete strategy
% 1.57/0.54 % (3070430)------------------------------
% 1.57/0.54 % (3070430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.54 % (3070430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.55 % (3070430)CaDiCaL version: 2.1.3
% 1.57/0.55 % (3070430)Termination reason: Refutation not found, incomplete strategy
% 1.57/0.55 % (3070430)Time elapsed: 0.001 s
% 1.57/0.55 % (3070430)Peak memory usage: 11 MB
% 1.57/0.55 % (3070430)Instructions burned: 1 (million)
% 1.57/0.55 % (3070430)------------------------------
% 1.57/0.55 % (3070430)------------------------------
% 1.57/0.55 % (3070420)Instruction limit reached!
% 1.57/0.55 % (3070420)------------------------------
% 1.57/0.55 % (3070420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.55 % (3070420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.55 % (3070420)CaDiCaL version: 2.1.3
% 1.57/0.55 % (3070420)Termination reason: Instruction limit
% 1.57/0.55 % (3070420)Termination phase: Saturation
% 1.57/0.55 % (3070420)Time elapsed: 0.022 s
% 1.57/0.55 % (3070420)Peak memory usage: 12 MB
% 1.57/0.55 % (3070420)Instructions burned: 43 (million)
% 1.57/0.55 % (3070432)Instruction limit reached!
% 1.57/0.55 % (3070432)------------------------------
% 1.57/0.55 % (3070432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.59 % (3070432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.59 % (3070432)CaDiCaL version: 2.1.3
% 2.25/0.59 % (3070432)Termination reason: Instruction limit
% 2.25/0.59 % (3070432)Termination phase: Saturation
% 2.25/0.59 % (3070432)Time elapsed: 0.007 s
% 2.25/0.59 % (3070432)Peak memory usage: 12 MB
% 2.25/0.59 % (3070432)Instructions burned: 30 (million)
% 2.25/0.59 % (3070434)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2334841980:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 2.25/0.59 % (3070434)Refutation not found, incomplete strategy
% 2.25/0.59 % (3070434)------------------------------
% 2.25/0.59 % (3070434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.59 % (3070434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.59 % (3070434)CaDiCaL version: 2.1.3
% 2.25/0.59 % (3070434)Termination reason: Refutation not found, incomplete strategy
% 2.25/0.59 % (3070434)Time elapsed: 0.002 s
% 2.25/0.59 % (3070434)Peak memory usage: 13 MB
% 2.25/0.59 % (3070434)Instructions burned: 3 (million)
% 2.25/0.59 % (3070439)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=4033665885:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2998 on theBenchmark for (2998ds/45Mi)
% 2.25/0.59 % (3070434)------------------------------
% 2.25/0.59 % (3070434)------------------------------
% 2.25/0.59 % (3070437)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=182116108:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 2.25/0.59 % (3070438)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=52641899:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2998 on theBenchmark for (2998ds/853Mi)
% 2.25/0.59 % (3070418)Instruction limit reached!
% 2.25/0.59 % (3070418)------------------------------
% 2.25/0.59 % (3070418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.59 % (3070418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.59 % (3070418)CaDiCaL version: 2.1.3
% 2.25/0.59 % (3070418)Termination reason: Instruction limit
% 2.25/0.59 % (3070418)Termination phase: Saturation
% 2.25/0.59 % (3070418)Time elapsed: 0.060 s
% 2.25/0.59 % (3070418)Peak memory usage: 12 MB
% 2.25/0.59 % (3070418)Instructions burned: 145 (million)
% 2.25/0.59 % (3070439)Instruction limit reached!
% 2.25/0.59 % (3070439)------------------------------
% 2.25/0.59 % (3070439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.59 % (3070439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.59 % (3070439)CaDiCaL version: 2.1.3
% 2.25/0.59 % (3070439)Termination reason: Instruction limit
% 2.25/0.59 % (3070439)Termination phase: Saturation
% 2.25/0.59 % (3070439)Time elapsed: 0.014 s
% 2.25/0.59 % (3070439)Peak memory usage: 12 MB
% 2.25/0.59 % (3070439)Instructions burned: 47 (million)
% 2.25/0.59 % (3070442)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3135629798:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.25/0.59 % (3070442)Refutation not found, incomplete strategy
% 2.25/0.59 % (3070442)------------------------------
% 2.25/0.59 % (3070442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.59 % (3070442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.59 % (3070442)CaDiCaL version: 2.1.3
% 2.25/0.59 % (3070442)Termination reason: Refutation not found, incomplete strategy
% 2.25/0.59 % (3070442)Time elapsed: 0.001 s
% 2.25/0.59 % (3070442)Peak memory usage: 12 MB
% 2.25/0.59 % (3070442)Instructions burned: 1 (million)
% 2.25/0.59 % (3070442)------------------------------
% 2.25/0.59 % (3070442)------------------------------
% 2.25/0.59 % (3070446)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.25/0.59 % (3070446)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2383656433:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.70/0.65 % (3070445)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=663409480:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.70/0.65 % (3070448)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2096531934:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.70/0.65 % (3070445)Instruction limit reached!
% 2.70/0.65 % (3070445)------------------------------
% 2.70/0.65 % (3070445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.65 % (3070445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.65 % (3070445)CaDiCaL version: 2.1.3
% 2.70/0.65 % (3070445)Termination reason: Instruction limit
% 2.70/0.65 % (3070445)Termination phase: Saturation
% 2.70/0.65 % (3070445)Time elapsed: 0.012 s
% 2.70/0.65 % (3070445)Peak memory usage: 12 MB
% 2.70/0.65 % (3070445)Instructions burned: 22 (million)
% 2.70/0.65 % (3070448)Instruction limit reached!
% 2.70/0.65 % (3070448)------------------------------
% 2.70/0.65 % (3070448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.65 % (3070448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.65 % (3070448)CaDiCaL version: 2.1.3
% 2.70/0.65 % (3070448)Termination reason: Instruction limit
% 2.70/0.65 % (3070448)Termination phase: Saturation
% 2.70/0.65 % (3070448)Time elapsed: 0.008 s
% 2.70/0.65 % (3070448)Peak memory usage: 12 MB
% 2.70/0.65 % (3070448)Instructions burned: 13 (million)
% 2.70/0.65 % (3070452)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=861721012:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.70/0.65 % (3070446)Instruction limit reached!
% 2.70/0.65 % (3070446)------------------------------
% 2.70/0.65 % (3070446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.65 % (3070446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.65 % (3070446)CaDiCaL version: 2.1.3
% 2.70/0.65 % (3070446)Termination reason: Instruction limit
% 2.70/0.65 % (3070446)Termination phase: Saturation
% 2.70/0.65 % (3070446)Time elapsed: 0.040 s
% 2.70/0.65 % (3070446)Peak memory usage: 12 MB
% 2.70/0.65 % (3070446)Instructions burned: 202 (million)
% 2.70/0.65 % (3070359)Instruction limit reached!
% 2.70/0.65 % (3070359)------------------------------
% 2.70/0.65 % (3070359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.65 % (3070359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.65 % (3070359)CaDiCaL version: 2.1.3
% 2.70/0.65 % (3070359)Termination reason: Instruction limit
% 2.70/0.65 % (3070359)Termination phase: Saturation
% 2.70/0.65 % (3070359)Time elapsed: 0.245 s
% 2.70/0.65 % (3070359)Peak memory usage: 13 MB
% 2.70/0.65 % (3070359)Instructions burned: 636 (million)
% 2.70/0.65 % (3070453)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3214558737:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.70/0.65 % (3070453)Refutation not found, incomplete strategy
% 2.70/0.65 % (3070453)------------------------------
% 2.70/0.65 % (3070453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.65 % (3070453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.65 % (3070453)CaDiCaL version: 2.1.3
% 2.70/0.65 % (3070453)Termination reason: Refutation not found, incomplete strategy
% 2.70/0.65 % (3070453)Time elapsed: 0.001 s
% 2.70/0.65 % (3070453)Peak memory usage: 12 MB
% 2.70/0.65 % (3070453)Instructions burned: 2 (million)
% 2.70/0.65 % (3070453)------------------------------
% 2.70/0.65 % (3070453)------------------------------
% 2.70/0.65 % (3070455)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3446383561:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.70/0.65 % (3070456)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2284785726:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 2.70/0.65 % (3070455)Instruction limit reached!
% 2.70/0.65 % (3070455)------------------------------
% 2.70/0.65 % (3070455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.65 % (3070455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.70 % (3070455)CaDiCaL version: 2.1.3
% 2.70/0.70 % (3070455)Termination reason: Instruction limit
% 2.70/0.70 % (3070455)Termination phase: Saturation
% 2.70/0.70 % (3070455)Time elapsed: 0.009 s
% 2.70/0.70 % (3070455)Peak memory usage: 12 MB
% 2.70/0.70 % (3070455)Instructions burned: 32 (million)
% 2.70/0.70 % (3070458)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=859899782:cond=on:i=34:hud=10:nm=10:rtra=on_2997 on theBenchmark for (2997ds/34Mi)
% 2.70/0.70 % (3070452)Instruction limit reached!
% 2.70/0.70 % (3070452)------------------------------
% 2.70/0.70 % (3070452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.70 % (3070452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.70 % (3070452)CaDiCaL version: 2.1.3
% 2.70/0.70 % (3070452)Termination reason: Instruction limit
% 2.70/0.70 % (3070452)Termination phase: Saturation
% 2.70/0.70 % (3070452)Time elapsed: 0.030 s
% 2.70/0.70 % (3070452)Peak memory usage: 12 MB
% 2.70/0.70 % (3070452)Instructions burned: 67 (million)
% 2.70/0.70 % (3070461)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3128969395:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/67Mi)
% 2.70/0.70 % (3070461)Refutation not found, incomplete strategy
% 2.70/0.70 % (3070461)------------------------------
% 2.70/0.70 % (3070461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.70 % (3070461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.70 % (3070461)CaDiCaL version: 2.1.3
% 2.70/0.70 % (3070461)Termination reason: Refutation not found, incomplete strategy
% 2.70/0.70 % (3070461)Time elapsed: 0.001 s
% 2.70/0.70 % (3070461)Peak memory usage: 12 MB
% 2.70/0.70 % (3070461)Instructions burned: 2 (million)
% 2.70/0.70 % (3070461)------------------------------
% 2.70/0.70 % (3070461)------------------------------
% 2.70/0.70 % (3070465)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1457189562:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 2.70/0.70 % (3070465)Refutation not found, incomplete strategy
% 2.70/0.70 % (3070465)------------------------------
% 2.70/0.70 % (3070465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.70 % (3070465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.70 % (3070465)CaDiCaL version: 2.1.3
% 2.70/0.70 % (3070465)Termination reason: Refutation not found, incomplete strategy
% 2.70/0.70 % (3070465)Time elapsed: 0.0000 s
% 2.70/0.70 % (3070465)Peak memory usage: 11 MB
% 2.70/0.70 % (3070465)Instructions burned: 1 (million)
% 2.70/0.70 % (3070465)------------------------------
% 2.70/0.70 % (3070465)------------------------------
% 2.70/0.70 % (3070463)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.70/0.70 % (3070458)Instruction limit reached!
% 2.70/0.70 % (3070458)------------------------------
% 2.70/0.70 % (3070458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.70 % (3070458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.70 % (3070458)CaDiCaL version: 2.1.3
% 2.70/0.70 % (3070458)Termination reason: Instruction limit
% 2.70/0.70 % (3070458)Termination phase: Saturation
% 2.70/0.70 % (3070458)Time elapsed: 0.019 s
% 2.70/0.70 % (3070458)Peak memory usage: 12 MB
% 2.70/0.70 % (3070458)Instructions burned: 35 (million)
% 2.70/0.70 % (3070463)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1089527995:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 2.70/0.70 % (3070467)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3218287705:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 2.70/0.70 % (3070468)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=429306391:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 2.70/0.70 % (3070468)Refutation not found, incomplete strategy
% 2.70/0.70 % (3070468)------------------------------
% 2.70/0.70 % (3070468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.70/0.70 % (3070468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/0.70 % (3070468)CaDiCaL version: 2.1.3
% 2.70/0.70 % (3070468)Termination reason: Refutation not found, incomplete strategy
% 2.70/0.70 % (3070468)Time elapsed: 0.001 s
% 2.70/0.70 % (3070468)Peak memory usage: 11 MB
% 3.07/0.74 % (3070468)Instructions burned: 1 (million)
% 3.07/0.74 % (3070468)------------------------------
% 3.07/0.74 % (3070468)------------------------------
% 3.07/0.74 % (3070472)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=375870696:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/874Mi)
% 3.07/0.74 % (3070472)Refutation not found, incomplete strategy
% 3.07/0.74 % (3070472)------------------------------
% 3.07/0.74 % (3070472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.74 % (3070472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.74 % (3070472)CaDiCaL version: 2.1.3
% 3.07/0.74 % (3070472)Termination reason: Refutation not found, incomplete strategy
% 3.07/0.74 % (3070472)Time elapsed: 0.001 s
% 3.07/0.74 % (3070472)Peak memory usage: 11 MB
% 3.07/0.74 % (3070472)Instructions burned: 1 (million)
% 3.07/0.74 % (3070472)------------------------------
% 3.07/0.74 % (3070472)------------------------------
% 3.07/0.74 % (3070456)Instruction limit reached!
% 3.07/0.74 % (3070456)------------------------------
% 3.07/0.74 % (3070456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.74 % (3070456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.74 % (3070456)CaDiCaL version: 2.1.3
% 3.07/0.74 % (3070456)Termination reason: Instruction limit
% 3.07/0.74 % (3070456)Termination phase: Saturation
% 3.07/0.74 % (3070456)Time elapsed: 0.071 s
% 3.07/0.74 % (3070456)Peak memory usage: 13 MB
% 3.07/0.74 % (3070456)Instructions burned: 138 (million)
% 3.07/0.74 % (3070437)Instruction limit reached!
% 3.07/0.74 % (3070437)------------------------------
% 3.07/0.74 % (3070437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.74 % (3070437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.74 % (3070437)CaDiCaL version: 2.1.3
% 3.07/0.74 % (3070437)Termination reason: Instruction limit
% 3.07/0.74 % (3070437)Termination phase: Saturation
% 3.07/0.74 % (3070437)Time elapsed: 0.162 s
% 3.07/0.74 % (3070437)Peak memory usage: 13 MB
% 3.07/0.74 % (3070437)Instructions burned: 317 (million)
% 3.07/0.74 % (3070467)Instruction limit reached!
% 3.07/0.74 % (3070467)------------------------------
% 3.07/0.74 % (3070467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.74 % (3070467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.74 % (3070467)CaDiCaL version: 2.1.3
% 3.07/0.74 % (3070467)Termination reason: Instruction limit
% 3.07/0.74 % (3070467)Termination phase: Saturation
% 3.07/0.74 % (3070467)Time elapsed: 0.044 s
% 3.07/0.74 % (3070467)Peak memory usage: 12 MB
% 3.07/0.74 % (3070474)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=4021898565:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 3.07/0.74 % (3070467)Instructions burned: 96 (million)
% 3.07/0.74 % (3070474)Refutation not found, incomplete strategy
% 3.07/0.74 % (3070474)------------------------------
% 3.07/0.74 % (3070474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.74 % (3070474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.74 % (3070474)CaDiCaL version: 2.1.3
% 3.07/0.74 % (3070474)Termination reason: Refutation not found, incomplete strategy
% 3.07/0.74 % (3070474)Time elapsed: 0.001 s
% 3.07/0.74 % (3070474)Peak memory usage: 12 MB
% 3.07/0.75 % (3070474)Instructions burned: 1 (million)
% 3.07/0.75 % (3070474)------------------------------
% 3.07/0.75 % (3070474)------------------------------
% 3.07/0.75 % (3070475)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3820403809:st=1.5:i=130:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/130Mi)
% 3.07/0.75 % (3070475)Refutation not found, incomplete strategy
% 3.07/0.75 % (3070475)------------------------------
% 3.07/0.75 % (3070475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.07/0.75 % (3070475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.07/0.75 % (3070475)CaDiCaL version: 2.1.3
% 3.07/0.75 % (3070475)Termination reason: Refutation not found, incomplete strategy
% 3.07/0.75 % (3070475)Time elapsed: 0.001 s
% 3.07/0.75 % (3070475)Peak memory usage: 11 MB
% 3.07/0.75 % (3070475)Instructions burned: 1 (million)
% 3.07/0.75 % (3070475)------------------------------
% 3.07/0.75 % (3070475)------------------------------
% 3.07/0.75 % (3070476)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=104299810:i=44:ep=R:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/44Mi)
% 3.56/0.81 % (3070478)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2367985650:s2a=on:i=571:nm=16:rtra=on_2996 on theBenchmark for (2996ds/571Mi)
% 3.56/0.81 % (3070479)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=445673397:i=450:rtra=on:ixr=off:ntd=on_2996 on theBenchmark for (2996ds/450Mi)
% 3.56/0.81 % (3070478)Refutation not found, incomplete strategy
% 3.56/0.81 % (3070478)------------------------------
% 3.56/0.81 % (3070478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.81 % (3070478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.81 % (3070478)CaDiCaL version: 2.1.3
% 3.56/0.81 % (3070478)Termination reason: Refutation not found, incomplete strategy
% 3.56/0.81 % (3070478)Time elapsed: 0.001 s
% 3.56/0.81 % (3070478)Peak memory usage: 12 MB
% 3.56/0.81 % (3070478)Instructions burned: 1 (million)
% 3.56/0.81 % (3070478)------------------------------
% 3.56/0.81 % (3070478)------------------------------
% 3.56/0.81 % (3070463)Instruction limit reached!
% 3.56/0.81 % (3070463)------------------------------
% 3.56/0.81 % (3070463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.81 % (3070463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.81 % (3070463)CaDiCaL version: 2.1.3
% 3.56/0.81 % (3070463)Termination reason: Instruction limit
% 3.56/0.81 % (3070463)Termination phase: Saturation
% 3.56/0.81 % (3070463)Time elapsed: 0.080 s
% 3.56/0.81 % (3070463)Peak memory usage: 12 MB
% 3.56/0.81 % (3070463)Instructions burned: 182 (million)
% 3.56/0.81 % (3070481)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1686480810:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/95Mi)
% 3.56/0.81 % (3070476)Instruction limit reached!
% 3.56/0.81 % (3070476)------------------------------
% 3.56/0.81 % (3070476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.81 % (3070476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.81 % (3070476)CaDiCaL version: 2.1.3
% 3.56/0.81 % (3070476)Termination reason: Instruction limit
% 3.56/0.81 % (3070476)Termination phase: Saturation
% 3.56/0.81 % (3070476)Time elapsed: 0.021 s
% 3.56/0.81 % (3070476)Peak memory usage: 12 MB
% 3.56/0.81 % (3070476)Instructions burned: 44 (million)
% 3.56/0.81 % (3070485)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=4201439592:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2995 on theBenchmark for (2995ds/65Mi)
% 3.56/0.81 % (3070486)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=4119682786:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2995 on theBenchmark for (2995ds/105Mi)
% 3.56/0.81 % (3070488)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=2147532878:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2995 on theBenchmark for (2995ds/5755Mi)
% 3.56/0.81 % (3070488)Refutation not found, incomplete strategy
% 3.56/0.81 % (3070488)------------------------------
% 3.56/0.81 % (3070488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.81 % (3070488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.81 % (3070488)CaDiCaL version: 2.1.3
% 3.56/0.81 % (3070488)Termination reason: Refutation not found, incomplete strategy
% 3.56/0.81 % (3070488)Time elapsed: 0.001 s
% 3.56/0.81 % (3070488)Peak memory usage: 12 MB
% 3.56/0.81 % (3070488)Instructions burned: 1 (million)
% 3.56/0.81 % (3070488)------------------------------
% 3.56/0.81 % (3070488)------------------------------
% 3.56/0.81 % (3070481)Instruction limit reached!
% 3.56/0.81 % (3070481)------------------------------
% 3.56/0.81 % (3070481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.81 % (3070481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.81 % (3070481)CaDiCaL version: 2.1.3
% 3.56/0.81 % (3070481)Termination reason: Instruction limit
% 3.56/0.81 % (3070481)Termination phase: Saturation
% 4.10/0.90 % (3070481)Time elapsed: 0.040 s
% 4.10/0.90 % (3070481)Peak memory usage: 12 MB
% 4.10/0.90 % (3070481)Instructions burned: 96 (million)
% 4.10/0.90 % (3070485)Instruction limit reached!
% 4.10/0.90 % (3070485)------------------------------
% 4.10/0.90 % (3070485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.90 % (3070485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.90 % (3070485)CaDiCaL version: 2.1.3
% 4.10/0.90 % (3070485)Termination reason: Instruction limit
% 4.10/0.90 % (3070485)Termination phase: Saturation
% 4.10/0.90 % (3070485)Time elapsed: 0.028 s
% 4.10/0.90 % (3070485)Peak memory usage: 12 MB
% 4.10/0.90 % (3070485)Instructions burned: 67 (million)
% 4.10/0.90 % (3070492)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1546038231:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/375Mi)
% 4.10/0.90 % (3070492)Refutation not found, incomplete strategy
% 4.10/0.90 % (3070492)------------------------------
% 4.10/0.90 % (3070492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.90 % (3070492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.90 % (3070492)CaDiCaL version: 2.1.3
% 4.10/0.90 % (3070492)Termination reason: Refutation not found, incomplete strategy
% 4.10/0.90 % (3070492)Time elapsed: 0.001 s
% 4.10/0.90 % (3070492)Peak memory usage: 11 MB
% 4.10/0.90 % (3070492)------------------------------
% 4.10/0.90 % (3070492)------------------------------
% 4.10/0.90 % (3070494)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=4249305524:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 4.10/0.90 % (3070493)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3607222857:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/495Mi)
% 4.10/0.90 % (3070494)Instruction limit reached!
% 4.10/0.90 % (3070494)------------------------------
% 4.10/0.90 % (3070494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.90 % (3070494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.90 % (3070494)CaDiCaL version: 2.1.3
% 4.10/0.90 % (3070494)Termination reason: Instruction limit
% 4.10/0.90 % (3070494)Termination phase: Saturation
% 4.10/0.90 % (3070494)Time elapsed: 0.010 s
% 4.10/0.90 % (3070494)Peak memory usage: 12 MB
% 4.10/0.90 % (3070494)Instructions burned: 38 (million)
% 4.10/0.90 % (3070496)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=951076079:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/91Mi)
% 4.10/0.90 % (3070486)Instruction limit reached!
% 4.10/0.90 % (3070486)------------------------------
% 4.10/0.90 % (3070486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.90 % (3070486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.90 % (3070486)CaDiCaL version: 2.1.3
% 4.10/0.90 % (3070486)Termination reason: Instruction limit
% 4.10/0.90 % (3070486)Termination phase: Saturation
% 4.10/0.90 % (3070486)Time elapsed: 0.057 s
% 4.10/0.90 % (3070486)Peak memory usage: 12 MB
% 4.10/0.90 % (3070486)Instructions burned: 106 (million)
% 4.10/0.90 % (3070499)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2259075568:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2995 on theBenchmark for (2995ds/66Mi)
% 4.10/0.90 % (3070499)Refutation not found, incomplete strategy
% 4.10/0.90 % (3070499)------------------------------
% 4.10/0.90 % (3070499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.90 % (3070499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.90 % (3070499)CaDiCaL version: 2.1.3
% 4.10/0.90 % (3070499)Termination reason: Refutation not found, incomplete strategy
% 4.10/0.90 % (3070499)Time elapsed: 0.0000 s
% 4.10/0.90 % (3070499)Peak memory usage: 11 MB
% 4.10/0.90 % (3070499)------------------------------
% 4.10/0.90 % (3070499)------------------------------
% 4.10/0.90 % (3070503)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=2591280751:i=338:bd=all:ins=4:rtra=on_2995 on theBenchmark for (2995ds/338Mi)
% 4.10/0.90 % (3070438)Instruction limit reached!
% 4.10/0.90 % (3070438)------------------------------
% 4.10/0.90 % (3070438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.95 % (3070438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.95 % (3070438)CaDiCaL version: 2.1.3
% 4.10/0.95 % (3070438)Termination reason: Instruction limit
% 4.10/0.95 % (3070438)Termination phase: Saturation
% 4.10/0.95 % (3070438)Time elapsed: 0.280 s
% 4.10/0.95 % (3070438)Peak memory usage: 13 MB
% 4.10/0.95 % (3070438)Instructions burned: 855 (million)
% 4.10/0.95 % (3070501)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1941845067:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 4.10/0.95 % (3070501)Instruction limit reached!
% 4.10/0.95 % (3070501)------------------------------
% 4.10/0.95 % (3070501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.95 % (3070501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.95 % (3070501)CaDiCaL version: 2.1.3
% 4.10/0.95 % (3070501)Termination reason: Instruction limit
% 4.10/0.95 % (3070501)Termination phase: Saturation
% 4.10/0.95 % (3070501)Time elapsed: 0.011 s
% 4.10/0.95 % (3070501)Peak memory usage: 12 MB
% 4.10/0.95 % (3070501)Instructions burned: 22 (million)
% 4.10/0.95 % (3070496)Instruction limit reached!
% 4.10/0.95 % (3070496)------------------------------
% 4.10/0.95 % (3070496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.95 % (3070496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.95 % (3070496)CaDiCaL version: 2.1.3
% 4.10/0.95 % (3070496)Termination reason: Instruction limit
% 4.10/0.95 % (3070496)Termination phase: Saturation
% 4.10/0.95 % (3070496)Time elapsed: 0.036 s
% 4.10/0.95 % (3070496)Peak memory usage: 12 MB
% 4.10/0.95 % (3070496)Instructions burned: 91 (million)
% 4.10/0.95 % (3070505)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3759416843:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2995 on theBenchmark for (2995ds/28Mi)
% 4.10/0.95 % (3070505)Refutation not found, incomplete strategy
% 4.10/0.95 % (3070505)------------------------------
% 4.10/0.95 % (3070505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.95 % (3070505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.95 % (3070505)CaDiCaL version: 2.1.3
% 4.10/0.95 % (3070505)Termination reason: Refutation not found, incomplete strategy
% 4.10/0.95 % (3070505)Time elapsed: 0.001 s
% 4.10/0.95 % (3070505)Peak memory usage: 11 MB
% 4.10/0.95 % (3070505)Instructions burned: 1 (million)
% 4.10/0.95 % (3070505)------------------------------
% 4.10/0.95 % (3070505)------------------------------
% 4.10/0.95 % (3070507)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 4.10/0.95 % (3070507)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3574318923:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2994 on theBenchmark for (2994ds/137Mi)
% 4.10/0.95 % (3070509)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=3404743610:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2994 on theBenchmark for (2994ds/340Mi)
% 4.10/0.95 % (3070510)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=2452794616:i=227:sd=1:bd=all:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/227Mi)
% 4.10/0.95 % (3070510)Refutation not found, incomplete strategy
% 4.10/0.95 % (3070510)------------------------------
% 4.10/0.95 % (3070510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.95 % (3070510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.95 % (3070510)CaDiCaL version: 2.1.3
% 4.10/0.95 % (3070510)Termination reason: Refutation not found, incomplete strategy
% 4.10/0.95 % (3070510)Time elapsed: 0.001 s
% 4.10/0.95 % (3070510)Peak memory usage: 11 MB
% 4.10/0.95 % (3070510)------------------------------
% 4.10/0.95 % (3070510)------------------------------
% 4.10/0.95 % (3070514)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 4.10/0.95 % (3070514)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=383557801:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/373Mi)
% 4.10/0.95 % (3070479)Instruction limit reached!
% 4.10/0.95 % (3070479)------------------------------
% 4.10/0.99 % (3070479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.99 % (3070479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.99 % (3070479)CaDiCaL version: 2.1.3
% 4.10/0.99 % (3070479)Termination reason: Instruction limit
% 4.10/0.99 % (3070479)Termination phase: Saturation
% 4.10/0.99 % (3070479)Time elapsed: 0.159 s
% 4.10/0.99 % (3070479)Peak memory usage: 12 MB
% 4.10/0.99 % (3070479)Instructions burned: 451 (million)
% 4.10/0.99 % (3070503)Instruction limit reached!
% 4.10/0.99 % (3070503)------------------------------
% 4.10/0.99 % (3070503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.99 % (3070503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.99 % (3070503)CaDiCaL version: 2.1.3
% 4.10/0.99 % (3070503)Termination reason: Instruction limit
% 4.10/0.99 % (3070503)Termination phase: Saturation
% 4.10/0.99 % (3070503)Time elapsed: 0.079 s
% 4.10/0.99 % (3070503)Peak memory usage: 14 MB
% 4.10/0.99 % (3070503)Instructions burned: 339 (million)
% 4.10/0.99 % (3070516)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3187379864:i=116:ep=RSTC:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/116Mi)
% 4.10/0.99 % (3070517)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3088203930:i=575:rtra=on_2994 on theBenchmark for (2994ds/575Mi)
% 4.10/0.99 % (3070517)Refutation not found, incomplete strategy
% 4.10/0.99 % (3070517)------------------------------
% 4.10/0.99 % (3070517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.99 % (3070517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.99 % (3070517)CaDiCaL version: 2.1.3
% 4.10/0.99 % (3070517)Termination reason: Refutation not found, incomplete strategy
% 4.10/0.99 % (3070517)Time elapsed: 0.001 s
% 4.10/0.99 % (3070517)Peak memory usage: 12 MB
% 4.10/0.99 % (3070517)Instructions burned: 2 (million)
% 4.10/0.99 % (3070517)------------------------------
% 4.10/0.99 % (3070517)------------------------------
% 4.10/0.99 % (3070507)Instruction limit reached!
% 4.10/0.99 % (3070507)------------------------------
% 4.10/0.99 % (3070507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.99 % (3070507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.99 % (3070507)CaDiCaL version: 2.1.3
% 4.10/0.99 % (3070507)Termination reason: Instruction limit
% 4.10/0.99 % (3070507)Termination phase: Saturation
% 4.10/0.99 % (3070507)Time elapsed: 0.056 s
% 4.10/0.99 % (3070507)Peak memory usage: 12 MB
% 4.10/0.99 % (3070507)Instructions burned: 138 (million)
% 4.10/0.99 % (3070520)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=64832168:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2994 on theBenchmark for (2994ds/270Mi)
% 4.10/0.99 % (3070521)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=1103709544: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_2994 on theBenchmark for (2994ds/9840Mi)
% 4.10/0.99 % (3070516)Instruction limit reached!
% 4.10/0.99 % (3070516)------------------------------
% 4.10/0.99 % (3070516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.99 % (3070516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.99 % (3070516)CaDiCaL version: 2.1.3
% 4.10/0.99 % (3070516)Termination reason: Instruction limit
% 4.10/0.99 % (3070516)Termination phase: Saturation
% 4.10/0.99 % (3070516)Time elapsed: 0.049 s
% 4.10/0.99 % (3070516)Peak memory usage: 12 MB
% 4.10/0.99 % (3070516)Instructions burned: 118 (million)
% 4.10/0.99 % (3070417)Instruction limit reached!
% 4.10/0.99 % (3070417)------------------------------
% 4.10/0.99 % (3070417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.99 % (3070417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.99 % (3070417)CaDiCaL version: 2.1.3
% 4.10/0.99 % (3070417)Termination reason: Instruction limit
% 4.10/0.99 % (3070417)Termination phase: Saturation
% 4.10/0.99 % (3070417)Time elapsed: 0.477 s
% 4.10/0.99 % (3070417)Peak memory usage: 13 MB
% 4.10/0.99 % (3070417)Instructions burned: 1242 (million)
% 4.10/0.99 % (3070524)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=2216746629:i=421:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/421Mi)
% 5.54/1.03 % (3070524)Refutation not found, incomplete strategy
% 5.54/1.03 % (3070524)------------------------------
% 5.54/1.03 % (3070524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/1.03 % (3070524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.03 % (3070524)CaDiCaL version: 2.1.3
% 5.54/1.03 % (3070524)Termination reason: Refutation not found, incomplete strategy
% 5.54/1.03 % (3070524)Time elapsed: 0.001 s
% 5.54/1.03 % (3070524)Peak memory usage: 12 MB
% 5.54/1.03 % (3070524)Instructions burned: 1 (million)
% 5.54/1.03 % (3070524)------------------------------
% 5.54/1.03 % (3070524)------------------------------
% 5.54/1.03 % (3070525)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.54/1.03 % (3070520)Instruction limit reached!
% 5.54/1.03 % (3070520)------------------------------
% 5.54/1.03 % (3070520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/1.03 % (3070520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.03 % (3070520)CaDiCaL version: 2.1.3
% 5.54/1.03 % (3070520)Termination reason: Instruction limit
% 5.54/1.03 % (3070520)Termination phase: Saturation
% 5.54/1.03 % (3070520)Time elapsed: 0.062 s
% 5.54/1.03 % (3070520)Peak memory usage: 12 MB
% 5.54/1.03 % (3070520)Instructions burned: 274 (million)
% 5.54/1.03 % (3070525)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=1367345410:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/270Mi)
% 5.54/1.03 % (3070528)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.54/1.03 % (3070528)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.54/1.03 % (3070528)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=2415117471:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2993 on theBenchmark for (2993ds/1440Mi)
% 5.54/1.03 % (3070527)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3838534875:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 5.54/1.03 % (3070509)Instruction limit reached!
% 5.54/1.03 % (3070509)------------------------------
% 5.54/1.03 % (3070509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/1.03 % (3070509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.03 % (3070509)CaDiCaL version: 2.1.3
% 5.54/1.03 % (3070509)Termination reason: Instruction limit
% 5.54/1.03 % (3070509)Termination phase: Saturation
% 5.54/1.03 % (3070509)Time elapsed: 0.147 s
% 5.54/1.03 % (3070509)Peak memory usage: 13 MB
% 5.54/1.03 % (3070509)Instructions burned: 341 (million)
% 5.54/1.03 % (3070527)Instruction limit reached!
% 5.54/1.03 % (3070527)------------------------------
% 5.54/1.03 % (3070527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/1.03 % (3070527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.03 % (3070527)CaDiCaL version: 2.1.3
% 5.54/1.03 % (3070527)Termination reason: Instruction limit
% 5.54/1.03 % (3070527)Termination phase: Saturation
% 5.54/1.03 % (3070527)Time elapsed: 0.016 s
% 5.54/1.03 % (3070527)Peak memory usage: 12 MB
% 5.54/1.03 % (3070527)Instructions burned: 32 (million)
% 5.54/1.03 % (3070493)Instruction limit reached!
% 5.54/1.03 % (3070493)------------------------------
% 5.54/1.03 % (3070493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.54/1.03 % (3070493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.54/1.03 % (3070493)CaDiCaL version: 2.1.3
% 5.54/1.03 % (3070493)Termination reason: Instruction limit
% 5.54/1.03 % (3070493)Termination phase: Saturation
% 5.54/1.03 % (3070493)Time elapsed: 0.225 s
% 5.54/1.03 % (3070493)Peak memory usage: 13 MB
% 5.54/1.03 % (3070493)Instructions burned: 496 (million)
% 5.54/1.03 % (3070532)dis+10_2_sil=128000:si=on:random_seed=239961047:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2993 on theBenchmark for (2993ds/339Mi)
% 6.18/1.14 % (3070532)Refutation not found, incomplete strategy
% 6.18/1.14 % (3070532)------------------------------
% 6.18/1.14 % (3070532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.14 % (3070532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.14 % (3070532)CaDiCaL version: 2.1.3
% 6.18/1.14 % (3070532)Termination reason: Refutation not found, incomplete strategy
% 6.18/1.14 % (3070532)Time elapsed: 0.001 s
% 6.18/1.14 % (3070532)Peak memory usage: 11 MB
% 6.18/1.14 % (3070532)Instructions burned: 1 (million)
% 6.18/1.14 % (3070532)------------------------------
% 6.18/1.14 % (3070532)------------------------------
% 6.18/1.14 % (3070533)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3058246279:i=111:add=on:fgj=on:rtra=on:fdi=1024_2993 on theBenchmark for (2993ds/111Mi)
% 6.18/1.14 % (3070534)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=1932794148:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2993 on theBenchmark for (2993ds/122Mi)
% 6.18/1.14 % (3070534)Refutation not found, incomplete strategy
% 6.18/1.14 % (3070534)------------------------------
% 6.18/1.14 % (3070534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.14 % (3070534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.14 % (3070534)CaDiCaL version: 2.1.3
% 6.18/1.14 % (3070534)Termination reason: Refutation not found, incomplete strategy
% 6.18/1.14 % (3070534)Time elapsed: 0.001 s
% 6.18/1.14 % (3070534)Peak memory usage: 11 MB
% 6.18/1.14 % (3070534)------------------------------
% 6.18/1.14 % (3070534)------------------------------
% 6.18/1.14 % (3070536)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=3623101147:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/136Mi)
% 6.18/1.14 % (3070536)Refutation not found, incomplete strategy
% 6.18/1.14 % (3070536)------------------------------
% 6.18/1.14 % (3070536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.14 % (3070536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.14 % (3070536)CaDiCaL version: 2.1.3
% 6.18/1.14 % (3070536)Termination reason: Refutation not found, incomplete strategy
% 6.18/1.14 % (3070536)Time elapsed: 0.001 s
% 6.18/1.14 % (3070536)Peak memory usage: 12 MB
% 6.18/1.14 % (3070536)Instructions burned: 2 (million)
% 6.18/1.14 % (3070536)------------------------------
% 6.18/1.14 % (3070536)------------------------------
% 6.18/1.14 % (3070539)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2523739825:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/232Mi)
% 6.18/1.14 % (3070539)Refutation not found, incomplete strategy
% 6.18/1.14 % (3070539)------------------------------
% 6.18/1.14 % (3070539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.14 % (3070539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.14 % (3070539)CaDiCaL version: 2.1.3
% 6.18/1.14 % (3070539)Termination reason: Refutation not found, incomplete strategy
% 6.18/1.14 % (3070539)Time elapsed: 0.001 s
% 6.18/1.14 % (3070539)Peak memory usage: 11 MB
% 6.18/1.14 % (3070539)------------------------------
% 6.18/1.14 % (3070539)------------------------------
% 6.18/1.14 % (3070514)Instruction limit reached!
% 6.18/1.14 % (3070514)------------------------------
% 6.18/1.14 % (3070514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.18/1.14 % (3070514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.18/1.14 % (3070514)CaDiCaL version: 2.1.3
% 6.18/1.14 % (3070514)Termination reason: Instruction limit
% 6.18/1.14 % (3070514)Termination phase: Saturation
% 6.18/1.14 % (3070514)Time elapsed: 0.176 s
% 6.18/1.14 % (3070514)Peak memory usage: 13 MB
% 6.18/1.14 % (3070514)Instructions burned: 374 (million)
% 6.18/1.14 % (3070541)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=447143192:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/1254Mi)
% 6.18/1.14 % (3070541)Refutation not found, incomplete strategy
% 6.18/1.14 % (3070541)------------------------------
% 6.18/1.14 % (3070541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.20 % (3070541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.20 % (3070541)CaDiCaL version: 2.1.3
% 6.59/1.20 % (3070541)Termination reason: Refutation not found, incomplete strategy
% 6.59/1.20 % (3070541)Time elapsed: 0.002 s
% 6.59/1.20 % (3070541)Peak memory usage: 12 MB
% 6.59/1.20 % (3070541)Instructions burned: 3 (million)
% 6.59/1.20 % (3070541)------------------------------
% 6.59/1.20 % (3070541)------------------------------
% 6.59/1.20 % (3070543)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.59/1.20 % (3070543)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=1655108113:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2992 on theBenchmark for (2992ds/281Mi)
% 6.59/1.20 % (3070544)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=325250112:i=619:add=on:rtra=on_2992 on theBenchmark for (2992ds/619Mi)
% 6.59/1.20 % (3070544)Refutation not found, incomplete strategy
% 6.59/1.20 % (3070544)------------------------------
% 6.59/1.20 % (3070544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.20 % (3070544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.20 % (3070544)CaDiCaL version: 2.1.3
% 6.59/1.20 % (3070544)Termination reason: Refutation not found, incomplete strategy
% 6.59/1.20 % (3070544)Time elapsed: 0.002 s
% 6.59/1.20 % (3070544)Peak memory usage: 12 MB
% 6.59/1.20 % (3070544)Instructions burned: 3 (million)
% 6.59/1.20 % (3070544)------------------------------
% 6.59/1.20 % (3070544)------------------------------
% 6.59/1.20 % (3070533)Instruction limit reached!
% 6.59/1.20 % (3070533)------------------------------
% 6.59/1.20 % (3070533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.20 % (3070533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.20 % (3070533)CaDiCaL version: 2.1.3
% 6.59/1.20 % (3070533)Termination reason: Instruction limit
% 6.59/1.20 % (3070533)Termination phase: Saturation
% 6.59/1.20 % (3070533)Time elapsed: 0.054 s
% 6.59/1.20 % (3070533)Peak memory usage: 12 MB
% 6.59/1.20 % (3070533)Instructions burned: 112 (million)
% 6.59/1.20 % (3070546)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=4082969370:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/865Mi)
% 6.59/1.20 % (3070525)Instruction limit reached!
% 6.59/1.20 % (3070525)------------------------------
% 6.59/1.20 % (3070525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.20 % (3070525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.20 % (3070525)CaDiCaL version: 2.1.3
% 6.59/1.20 % (3070525)Termination reason: Instruction limit
% 6.59/1.20 % (3070525)Termination phase: Saturation
% 6.59/1.20 % (3070525)Time elapsed: 0.105 s
% 6.59/1.20 % (3070525)Peak memory usage: 12 MB
% 6.59/1.20 % (3070525)Instructions burned: 272 (million)
% 6.59/1.20 % (3070549)lrs+10_1_sil=128000:si=on:urr=on:random_seed=969938963:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/212Mi)
% 6.59/1.20 % (3070549)Refutation not found, incomplete strategy
% 6.59/1.20 % (3070549)------------------------------
% 6.59/1.20 % (3070549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.20 % (3070549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.20 % (3070549)CaDiCaL version: 2.1.3
% 6.59/1.20 % (3070549)Termination reason: Refutation not found, incomplete strategy
% 6.59/1.20 % (3070549)Time elapsed: 0.001 s
% 6.59/1.20 % (3070549)Peak memory usage: 12 MB
% 6.59/1.20 % (3070549)Instructions burned: 1 (million)
% 6.59/1.20 % (3070550)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=898690355:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 6.59/1.20 % (3070549)------------------------------
% 6.59/1.20 % (3070549)------------------------------
% 6.59/1.20 % (3070550)Refutation not found, incomplete strategy
% 6.59/1.20 % (3070550)------------------------------
% 6.59/1.20 % (3070550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.20 % (3070550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.20 % (3070550)CaDiCaL version: 2.1.3
% 7.09/1.36 % (3070550)Termination reason: Refutation not found, incomplete strategy
% 7.09/1.36 % (3070550)Time elapsed: 0.001 s
% 7.09/1.36 % (3070550)Peak memory usage: 12 MB
% 7.09/1.36 % (3070550)------------------------------
% 7.09/1.36 % (3070550)------------------------------
% 7.09/1.36 % (3070552)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1831979062:st=1.5:i=346:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/346Mi)
% 7.09/1.36 % (3070552)Refutation not found, incomplete strategy
% 7.09/1.36 % (3070552)------------------------------
% 7.09/1.36 % (3070552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.09/1.36 % (3070552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.09/1.36 % (3070552)CaDiCaL version: 2.1.3
% 7.09/1.36 % (3070552)Termination reason: Refutation not found, incomplete strategy
% 7.09/1.36 % (3070552)Time elapsed: 0.001 s
% 7.09/1.36 % (3070552)Peak memory usage: 11 MB
% 7.09/1.36 % (3070552)Instructions burned: 1 (million)
% 7.09/1.36 % (3070552)------------------------------
% 7.09/1.36 % (3070552)------------------------------
% 7.09/1.36 % (3070555)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=3324594572:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2992 on theBenchmark for (2992ds/152Mi)
% 7.09/1.36 % (3070556)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=768011494:i=75:ep=R:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/75Mi)
% 7.09/1.36 % (3070558)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=526563700:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/387Mi)
% 7.09/1.36 % (3070558)Refutation not found, incomplete strategy
% 7.09/1.36 % (3070558)------------------------------
% 7.09/1.36 % (3070558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.09/1.36 % (3070558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.09/1.36 % (3070558)CaDiCaL version: 2.1.3
% 7.09/1.36 % (3070558)Termination reason: Refutation not found, incomplete strategy
% 7.09/1.36 % (3070558)Time elapsed: 0.001 s
% 7.09/1.36 % (3070558)Peak memory usage: 11 MB
% 7.09/1.36 % (3070558)Instructions burned: 1 (million)
% 7.09/1.36 % (3070558)------------------------------
% 7.09/1.36 % (3070558)------------------------------
% 7.09/1.36 % (3070562)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=3594444788:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2991 on theBenchmark for (2991ds/148Mi)
% 7.09/1.36 % (3070556)Instruction limit reached!
% 7.09/1.36 % (3070556)------------------------------
% 7.09/1.36 % (3070556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.09/1.36 % (3070556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.09/1.36 % (3070556)CaDiCaL version: 2.1.3
% 7.09/1.36 % (3070556)Termination reason: Instruction limit
% 7.09/1.36 % (3070556)Termination phase: Saturation
% 7.09/1.36 % (3070556)Time elapsed: 0.033 s
% 7.09/1.36 % (3070556)Peak memory usage: 12 MB
% 7.09/1.36 % (3070556)Instructions burned: 75 (million)
% 7.09/1.36 % (3070564)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=2307962848:i=161:piset=and:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/161Mi)
% 7.09/1.36 % (3070555)Instruction limit reached!
% 7.09/1.36 % (3070555)------------------------------
% 7.09/1.36 % (3070555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.09/1.36 % (3070555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.09/1.36 % (3070555)CaDiCaL version: 2.1.3
% 7.09/1.36 % (3070555)Termination reason: Instruction limit
% 7.09/1.36 % (3070555)Termination phase: Saturation
% 7.09/1.36 % (3070555)Time elapsed: 0.071 s
% 7.09/1.36 % (3070555)Peak memory usage: 13 MB
% 7.09/1.36 % (3070555)Instructions burned: 152 (million)
% 7.09/1.36 % (3070566)lrs+10_1_sil=128000:si=on:random_seed=1256971714:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/888Mi)
% 7.09/1.36 % (3070562)Instruction limit reached!
% 7.09/1.36 % (3070562)------------------------------
% 7.09/1.36 % (3070562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.09/1.36 % (3070562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.09/1.36 % (3070562)CaDiCaL version: 2.1.3
% 7.09/1.36 % (3070562)Termination reason: Instruction limit
% 7.09/1.36 % (3070562)Termination phase: Saturation
% 7.79/1.48 % (3070562)Time elapsed: 0.063 s
% 7.79/1.48 % (3070562)Peak memory usage: 12 MB
% 7.79/1.48 % (3070562)Instructions burned: 148 (million)
% 7.79/1.48 % (3070566)Refutation not found, incomplete strategy
% 7.79/1.48 % (3070566)------------------------------
% 7.79/1.48 % (3070566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.48 % (3070566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.48 % (3070566)CaDiCaL version: 2.1.3
% 7.79/1.48 % (3070566)Termination reason: Refutation not found, incomplete strategy
% 7.79/1.48 % (3070566)Time elapsed: 0.001 s
% 7.79/1.48 % (3070566)Peak memory usage: 11 MB
% 7.79/1.48 % (3070566)Instructions burned: 1 (million)
% 7.79/1.48 % (3070566)------------------------------
% 7.79/1.48 % (3070566)------------------------------
% 7.79/1.48 % (3070543)Instruction limit reached!
% 7.79/1.48 % (3070543)------------------------------
% 7.79/1.48 % (3070543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.48 % (3070543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.48 % (3070543)CaDiCaL version: 2.1.3
% 7.79/1.48 % (3070543)Termination reason: Instruction limit
% 7.79/1.48 % (3070543)Termination phase: Saturation
% 7.79/1.48 % (3070543)Time elapsed: 0.148 s
% 7.79/1.48 % (3070543)Peak memory usage: 13 MB
% 7.79/1.48 % (3070543)Instructions burned: 283 (million)
% 7.79/1.48 % (3070568)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=2248014278:i=136:add=on:ins=4:rtra=on:sup=off_2991 on theBenchmark for (2991ds/136Mi)
% 7.79/1.48 % (3070569)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=3811822885:i=88:s2at=3:nm=2:rtra=on:rawr=on_2991 on theBenchmark for (2991ds/88Mi)
% 7.79/1.48 % (3070568)Refutation not found, incomplete strategy
% 7.79/1.48 % (3070568)------------------------------
% 7.79/1.48 % (3070568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.48 % (3070568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.48 % (3070568)CaDiCaL version: 2.1.3
% 7.79/1.48 % (3070568)Termination reason: Refutation not found, incomplete strategy
% 7.79/1.48 % (3070568)Time elapsed: 0.002 s
% 7.79/1.48 % (3070568)Peak memory usage: 12 MB
% 7.79/1.48 % (3070568)Instructions burned: 2 (million)
% 7.79/1.48 % (3070564)Instruction limit reached!
% 7.79/1.48 % (3070564)------------------------------
% 7.79/1.48 % (3070564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.48 % (3070564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.48 % (3070564)CaDiCaL version: 2.1.3
% 7.79/1.48 % (3070564)Termination reason: Instruction limit
% 7.79/1.48 % (3070564)Termination phase: Saturation
% 7.79/1.48 % (3070564)Time elapsed: 0.059 s
% 7.79/1.48 % (3070564)Peak memory usage: 12 MB
% 7.79/1.48 % (3070564)Instructions burned: 164 (million)
% 7.79/1.48 % (3070568)------------------------------
% 7.79/1.48 % (3070568)------------------------------
% 7.79/1.48 % (3070570)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3777630646:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2991 on theBenchmark for (2991ds/93Mi)
% 7.79/1.48 % (3070573)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2687634781:i=2186:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/2186Mi)
% 7.79/1.48 % (3070574)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4278675419:s2a=on:i=240:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/240Mi)
% 7.79/1.48 % (3070528)Instruction limit reached!
% 7.79/1.48 % (3070528)------------------------------
% 7.79/1.48 % (3070528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.48 % (3070528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.48 % (3070528)CaDiCaL version: 2.1.3
% 7.79/1.48 % (3070528)Termination reason: Instruction limit
% 7.79/1.48 % (3070528)Termination phase: Saturation
% 7.79/1.48 % (3070528)Time elapsed: 0.265 s
% 7.79/1.48 % (3070528)Peak memory usage: 13 MB
% 7.79/1.48 % (3070528)Instructions burned: 1442 (million)
% 7.79/1.48 % (3070578)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=3338896961:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/805Mi)
% 7.79/1.48 % (3070569)Instruction limit reached!
% 8.43/1.61 % (3070569)------------------------------
% 8.43/1.61 % (3070569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.43/1.61 % (3070569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/1.61 % (3070569)CaDiCaL version: 2.1.3
% 8.43/1.61 % (3070569)Termination reason: Instruction limit
% 8.43/1.61 % (3070569)Termination phase: Saturation
% 8.43/1.61 % (3070569)Time elapsed: 0.038 s
% 8.43/1.61 % (3070569)Peak memory usage: 12 MB
% 8.43/1.61 % (3070569)Instructions burned: 91 (million)
% 8.43/1.61 % (3070580)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 8.43/1.61 % (3070580)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=892328425:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2990 on theBenchmark for (2990ds/391Mi)
% 8.43/1.61 % (3070570)Instruction limit reached!
% 8.43/1.61 % (3070570)------------------------------
% 8.43/1.61 % (3070570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.43/1.61 % (3070570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/1.61 % (3070570)CaDiCaL version: 2.1.3
% 8.43/1.61 % (3070570)Termination reason: Instruction limit
% 8.43/1.61 % (3070570)Termination phase: Saturation
% 8.43/1.61 % (3070570)Time elapsed: 0.048 s
% 8.43/1.61 % (3070570)Peak memory usage: 12 MB
% 8.43/1.61 % (3070570)Instructions burned: 94 (million)
% 8.43/1.61 % (3070580)Refutation not found, incomplete strategy
% 8.43/1.61 % (3070580)------------------------------
% 8.43/1.61 % (3070580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.43/1.61 % (3070580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/1.61 % (3070580)CaDiCaL version: 2.1.3
% 8.43/1.61 % (3070580)Termination reason: Refutation not found, incomplete strategy
% 8.43/1.61 % (3070580)Time elapsed: 0.001 s
% 8.43/1.61 % (3070580)Peak memory usage: 11 MB
% 8.43/1.61 % (3070580)Instructions burned: 1 (million)
% 8.43/1.61 % (3070580)------------------------------
% 8.43/1.61 % (3070580)------------------------------
% 8.43/1.61 % (3070582)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=396994259:i=355:av=off:fsr=off:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/355Mi)
% 8.43/1.61 % (3070583)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=14367084:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/314Mi)
% 8.43/1.61 % (3070583)Refutation not found, incomplete strategy
% 8.43/1.61 % (3070583)------------------------------
% 8.43/1.61 % (3070583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.43/1.61 % (3070583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/1.61 % (3070583)CaDiCaL version: 2.1.3
% 8.43/1.61 % (3070583)Termination reason: Refutation not found, incomplete strategy
% 8.43/1.61 % (3070583)Time elapsed: 0.001 s
% 8.43/1.61 % (3070583)Peak memory usage: 11 MB
% 8.43/1.61 % (3070583)------------------------------
% 8.43/1.61 % (3070583)------------------------------
% 8.43/1.61 % (3070586)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2636693270:s2a=on:i=251:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/251Mi)
% 8.43/1.61 % (3070574)Instruction limit reached!
% 8.43/1.61 % (3070574)------------------------------
% 8.43/1.61 % (3070574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.43/1.61 % (3070574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/1.61 % (3070574)CaDiCaL version: 2.1.3
% 8.43/1.61 % (3070574)Termination reason: Instruction limit
% 8.43/1.61 % (3070574)Termination phase: Saturation
% 8.43/1.61 % (3070574)Time elapsed: 0.097 s
% 8.43/1.61 % (3070574)Peak memory usage: 13 MB
% 8.43/1.61 % (3070574)Instructions burned: 240 (million)
% 8.43/1.61 % (3070588)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=3955900101: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_2989 on theBenchmark for (2989ds/2470Mi)
% 8.43/1.61 % (3070578)Instruction limit reached!
% 8.43/1.61 % (3070578)------------------------------
% 8.43/1.61 % (3070578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.43/1.67 % (3070578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/1.67 % (3070578)CaDiCaL version: 2.1.3
% 8.43/1.67 % (3070578)Termination reason: Instruction limit
% 8.43/1.67 % (3070578)Termination phase: Saturation
% 8.43/1.67 % (3070578)Time elapsed: 0.170 s
% 8.43/1.67 % (3070578)Peak memory usage: 14 MB
% 8.43/1.67 % (3070578)Instructions burned: 809 (million)
% 8.43/1.67 % (3070586)Instruction limit reached!
% 8.43/1.67 % (3070586)------------------------------
% 8.43/1.67 % (3070586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.43/1.67 % (3070586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/1.67 % (3070586)CaDiCaL version: 2.1.3
% 8.43/1.67 % (3070586)Termination reason: Instruction limit
% 8.43/1.67 % (3070586)Termination phase: Saturation
% 8.43/1.67 % (3070586)Time elapsed: 0.111 s
% 8.43/1.67 % (3070586)Peak memory usage: 12 MB
% 8.43/1.67 % (3070586)Instructions burned: 252 (million)
% 8.43/1.67 % (3070590)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=4130515281:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2988 on theBenchmark for (2988ds/673Mi)
% 8.43/1.67 % (3070591)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2829681498:i=116:ep=RSTC:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/116Mi)
% 8.43/1.67 % (3070582)Instruction limit reached!
% 8.43/1.67 % (3070582)------------------------------
% 8.43/1.67 % (3070582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.43/1.67 % (3070582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/1.67 % (3070582)CaDiCaL version: 2.1.3
% 8.43/1.67 % (3070582)Termination reason: Instruction limit
% 8.43/1.67 % (3070582)Termination phase: Saturation
% 8.43/1.67 % (3070582)Time elapsed: 0.158 s
% 8.43/1.67 % (3070582)Peak memory usage: 12 MB
% 8.43/1.67 % (3070582)Instructions burned: 355 (million)
% 8.43/1.67 % (3070594)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2251660815:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2988 on theBenchmark for (2988ds/270Mi)
% 8.43/1.67 % (3070591)Instruction limit reached!
% 8.43/1.67 % (3070591)------------------------------
% 8.43/1.67 % (3070591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.43/1.67 % (3070591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/1.67 % (3070591)CaDiCaL version: 2.1.3
% 8.43/1.67 % (3070591)Termination reason: Instruction limit
% 8.43/1.67 % (3070591)Termination phase: Saturation
% 8.43/1.67 % (3070591)Time elapsed: 0.046 s
% 8.43/1.67 % (3070591)Peak memory usage: 12 MB
% 8.43/1.67 % (3070591)Instructions burned: 118 (million)
% 8.43/1.67 % (3070596)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=3493584761: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_2988 on theBenchmark for (2988ds/30Mi)
% 8.43/1.67 % (3070546)Instruction limit reached!
% 8.43/1.67 % (3070546)------------------------------
% 8.43/1.67 % (3070546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.43/1.67 % (3070546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/1.67 % (3070546)CaDiCaL version: 2.1.3
% 8.43/1.67 % (3070546)Termination reason: Instruction limit
% 8.43/1.67 % (3070546)Termination phase: Saturation
% 8.43/1.67 % (3070546)Time elapsed: 0.447 s
% 8.43/1.67 % (3070546)Peak memory usage: 15 MB
% 8.43/1.67 % (3070546)Instructions burned: 866 (million)
% 8.43/1.67 % (3070596)Instruction limit reached!
% 8.43/1.67 % (3070596)------------------------------
% 8.43/1.67 % (3070596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.43/1.67 % (3070596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.43/1.67 % (3070596)CaDiCaL version: 2.1.3
% 8.43/1.67 % (3070596)Termination reason: Instruction limit
% 8.43/1.67 % (3070596)Termination phase: Saturation
% 8.43/1.67 % (3070596)Time elapsed: 0.015 s
% 8.43/1.67 % (3070596)Peak memory usage: 12 MB
% 8.43/1.67 % (3070596)Instructions burned: 30 (million)
% 8.43/1.67 % (3070598)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 8.43/1.67 % (3070598)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=571210586:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2987 on theBenchmark for (2987ds/39Mi)
% 9.26/1.83 % (3070599)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1854380421:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2987 on theBenchmark for (2987ds/365Mi)
% 9.26/1.83 % (3070598)Instruction limit reached!
% 9.26/1.83 % (3070598)------------------------------
% 9.26/1.83 % (3070598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.26/1.83 % (3070598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/1.83 % (3070598)CaDiCaL version: 2.1.3
% 9.26/1.83 % (3070598)Termination reason: Instruction limit
% 9.26/1.83 % (3070598)Termination phase: Saturation
% 9.26/1.83 % (3070598)Time elapsed: 0.021 s
% 9.26/1.83 % (3070598)Peak memory usage: 12 MB
% 9.26/1.83 % (3070598)Instructions burned: 39 (million)
% 9.26/1.83 % (3070602)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=961020715:i=158:av=off:rtra=on_2987 on theBenchmark for (2987ds/158Mi)
% 9.26/1.83 % (3070594)Instruction limit reached!
% 9.26/1.83 % (3070594)------------------------------
% 9.26/1.83 % (3070594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.26/1.83 % (3070594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/1.83 % (3070594)CaDiCaL version: 2.1.3
% 9.26/1.83 % (3070594)Termination reason: Instruction limit
% 9.26/1.83 % (3070594)Termination phase: Saturation
% 9.26/1.83 % (3070594)Time elapsed: 0.114 s
% 9.26/1.83 % (3070594)Peak memory usage: 12 MB
% 9.26/1.83 % (3070594)Instructions burned: 271 (million)
% 9.26/1.83 % (3070604)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
% 9.26/1.83 % (3070604)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=1820647404:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/252Mi)
% 9.26/1.83 % (3070521)Refutation not found, incomplete strategy
% 9.26/1.83 % (3070521)------------------------------
% 9.26/1.83 % (3070521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.26/1.83 % (3070521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/1.83 % (3070521)CaDiCaL version: 2.1.3
% 9.26/1.83 % (3070521)Termination reason: Refutation not found, incomplete strategy
% 9.26/1.83 % (3070521)Time elapsed: 0.718 s
% 9.26/1.83 % (3070521)Peak memory usage: 14 MB
% 9.26/1.83 % (3070521)Instructions burned: 1651 (million)
% 9.26/1.83 % (3070521)------------------------------
% 9.26/1.83 % (3070521)------------------------------
% 9.26/1.83 % (3070606)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=3614362403:i=213:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/213Mi)
% 9.26/1.83 % (3070602)Instruction limit reached!
% 9.26/1.83 % (3070602)------------------------------
% 9.26/1.83 % (3070602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.26/1.83 % (3070602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/1.83 % (3070602)CaDiCaL version: 2.1.3
% 9.26/1.83 % (3070602)Termination reason: Instruction limit
% 9.26/1.83 % (3070602)Termination phase: Saturation
% 9.26/1.83 % (3070602)Time elapsed: 0.075 s
% 9.26/1.83 % (3070602)Peak memory usage: 12 MB
% 9.26/1.83 % (3070602)Instructions burned: 159 (million)
% 9.26/1.83 % (3070606)Refutation not found, incomplete strategy
% 9.26/1.83 % (3070606)------------------------------
% 9.26/1.83 % (3070606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.26/1.83 % (3070606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/1.83 % (3070606)CaDiCaL version: 2.1.3
% 9.26/1.83 % (3070606)Termination reason: Refutation not found, incomplete strategy
% 9.26/1.83 % (3070606)Time elapsed: 0.001 s
% 9.26/1.83 % (3070606)Peak memory usage: 11 MB
% 9.26/1.83 % (3070606)Instructions burned: 1 (million)
% 9.26/1.83 % (3070606)------------------------------
% 9.26/1.83 % (3070606)------------------------------
% 9.26/1.83 % (3070608)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=3058404569:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2986 on theBenchmark for (2986ds/160Mi)
% 9.26/1.83 % (3070608)Refutation not found, incomplete strategy
% 9.26/1.83 % (3070608)------------------------------
% 9.26/1.88 % (3070608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.26/1.88 % (3070608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/1.88 % (3070608)CaDiCaL version: 2.1.3
% 9.26/1.88 % (3070608)Termination reason: Refutation not found, incomplete strategy
% 9.26/1.88 % (3070608)Time elapsed: 0.001 s
% 9.26/1.88 % (3070608)Peak memory usage: 11 MB
% 9.26/1.88 % (3070608)Instructions burned: 1 (million)
% 9.26/1.88 % (3070609)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=1911972465:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/763Mi)
% 9.26/1.88 % (3070608)------------------------------
% 9.26/1.88 % (3070608)------------------------------
% 9.26/1.88 % (3070612)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 9.26/1.88 % (3070599)Instruction limit reached!
% 9.26/1.88 % (3070599)------------------------------
% 9.26/1.88 % (3070599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.26/1.88 % (3070599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/1.88 % (3070599)CaDiCaL version: 2.1.3
% 9.26/1.88 % (3070599)Termination reason: Instruction limit
% 9.26/1.88 % (3070599)Termination phase: Saturation
% 9.26/1.88 % (3070599)Time elapsed: 0.142 s
% 9.26/1.88 % (3070599)Peak memory usage: 13 MB
% 9.26/1.88 % (3070599)Instructions burned: 366 (million)
% 9.26/1.88 % (3070612)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=1413362315:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2986 on theBenchmark for (2986ds/237Mi)
% 9.26/1.88 % (3070612)Refutation not found, incomplete strategy
% 9.26/1.88 % (3070612)------------------------------
% 9.26/1.88 % (3070612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.26/1.88 % (3070612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/1.88 % (3070612)CaDiCaL version: 2.1.3
% 9.26/1.88 % (3070612)Termination reason: Refutation not found, incomplete strategy
% 9.26/1.88 % (3070612)Time elapsed: 0.001 s
% 9.26/1.88 % (3070612)Peak memory usage: 11 MB
% 9.26/1.88 % (3070612)------------------------------
% 9.26/1.88 % (3070612)------------------------------
% 9.26/1.88 % (3070604)Instruction limit reached!
% 9.26/1.88 % (3070604)------------------------------
% 9.26/1.88 % (3070604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.26/1.88 % (3070604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/1.88 % (3070604)CaDiCaL version: 2.1.3
% 9.26/1.88 % (3070604)Termination reason: Instruction limit
% 9.26/1.88 % (3070604)Termination phase: Saturation
% 9.26/1.88 % (3070604)Time elapsed: 0.099 s
% 9.26/1.88 % (3070604)Peak memory usage: 12 MB
% 9.26/1.88 % (3070604)Instructions burned: 253 (million)
% 9.26/1.88 % (3070590)Instruction limit reached!
% 9.26/1.88 % (3070590)------------------------------
% 9.26/1.88 % (3070590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.26/1.88 % (3070590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/1.88 % (3070590)CaDiCaL version: 2.1.3
% 9.26/1.88 % (3070590)Termination reason: Instruction limit
% 9.26/1.88 % (3070590)Termination phase: Saturation
% 9.26/1.88 % (3070590)Time elapsed: 0.261 s
% 9.26/1.88 % (3070590)Peak memory usage: 13 MB
% 9.26/1.88 % (3070590)Instructions burned: 675 (million)
% 9.26/1.88 % (3070613)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=1315478740:s2a=on:i=386:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/386Mi)
% 9.26/1.88 % (3070615)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=240912734:i=300:piset=and:nm=32:rtra=on_2986 on theBenchmark for (2986ds/300Mi)
% 9.26/1.88 % (3070616)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=2814464868:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/567Mi)
% 9.26/1.88 % (3070617)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1897001860:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2986 on theBenchmark for (2986ds/379Mi)
% 9.26/1.88 % (3070617)Refutation not found, incomplete strategy
% 9.26/1.88 % (3070617)------------------------------
% 9.26/1.88 % (3070617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.23/1.92 % (3070617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/1.92 % (3070617)CaDiCaL version: 2.1.3
% 10.23/1.92 % (3070617)Termination reason: Refutation not found, incomplete strategy
% 10.23/1.92 % (3070617)Time elapsed: 0.001 s
% 10.23/1.92 % (3070617)Peak memory usage: 11 MB
% 10.23/1.92 % (3070617)Instructions burned: 1 (million)
% 10.23/1.92 % (3070616)Refutation not found, incomplete strategy
% 10.23/1.92 % (3070616)------------------------------
% 10.23/1.92 % (3070616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.23/1.92 % (3070616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/1.92 % (3070616)CaDiCaL version: 2.1.3
% 10.23/1.92 % (3070616)Termination reason: Refutation not found, incomplete strategy
% 10.23/1.92 % (3070616)Time elapsed: 0.001 s
% 10.23/1.92 % (3070616)Peak memory usage: 11 MB
% 10.23/1.92 % (3070616)Instructions burned: 1 (million)
% 10.23/1.92 % (3070617)------------------------------
% 10.23/1.92 % (3070617)------------------------------
% 10.23/1.92 % (3070616)------------------------------
% 10.23/1.92 % (3070616)------------------------------
% 10.23/1.92 % (3070622)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=258937283:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2985 on theBenchmark for (2985ds/429Mi)
% 10.23/1.92 % (3070623)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3909807553:i=478:bd=all:rtra=on_2985 on theBenchmark for (2985ds/478Mi)
% 10.23/1.92 % (3070623)Refutation not found, incomplete strategy
% 10.23/1.92 % (3070623)------------------------------
% 10.23/1.92 % (3070623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.23/1.92 % (3070623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/1.92 % (3070623)CaDiCaL version: 2.1.3
% 10.23/1.92 % (3070623)Termination reason: Refutation not found, incomplete strategy
% 10.23/1.92 % (3070623)Time elapsed: 0.002 s
% 10.23/1.92 % (3070623)Peak memory usage: 12 MB
% 10.23/1.92 % (3070623)Instructions burned: 2 (million)
% 10.23/1.92 % (3070623)------------------------------
% 10.23/1.92 % (3070623)------------------------------
% 10.23/1.92 % (3070626)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=365974004:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2985 on theBenchmark for (2985ds/445Mi)
% 10.23/1.92 % (3070615)Instruction limit reached!
% 10.23/1.92 % (3070615)------------------------------
% 10.23/1.92 % (3070615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.23/1.92 % (3070615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/1.92 % (3070615)CaDiCaL version: 2.1.3
% 10.23/1.92 % (3070615)Termination reason: Instruction limit
% 10.23/1.92 % (3070615)Termination phase: Saturation
% 10.23/1.92 % (3070615)Time elapsed: 0.130 s
% 10.23/1.92 % (3070615)Peak memory usage: 12 MB
% 10.23/1.92 % (3070615)Instructions burned: 300 (million)
% 10.23/1.92 % (3070628)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2597583411:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2984 on theBenchmark for (2984ds/71Mi)
% 10.23/1.92 % (3070613)Instruction limit reached!
% 10.23/1.92 % (3070613)------------------------------
% 10.23/1.92 % (3070613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.23/1.92 % (3070613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/1.92 % (3070613)CaDiCaL version: 2.1.3
% 10.23/1.92 % (3070613)Termination reason: Instruction limit
% 10.23/1.92 % (3070613)Termination phase: Saturation
% 10.23/1.92 % (3070613)Time elapsed: 0.167 s
% 10.23/1.92 % (3070613)Peak memory usage: 12 MB
% 10.23/1.92 % (3070613)Instructions burned: 386 (million)
% 10.23/1.92 % (3070626)Instruction limit reached!
% 10.23/1.92 % (3070626)------------------------------
% 10.23/1.92 % (3070626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.23/1.92 % (3070626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/1.92 % (3070626)CaDiCaL version: 2.1.3
% 10.23/1.92 % (3070626)Termination reason: Instruction limit
% 10.23/1.92 % (3070626)Termination phase: Saturation
% 10.23/1.92 % (3070626)Time elapsed: 0.118 s
% 10.23/1.92 % (3070626)Peak memory usage: 15 MB
% 10.23/1.92 % (3070626)Instructions burned: 447 (million)
% 10.23/1.92 % (3070631)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=3141014356:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2984 on theBenchmark for (2984ds/4980Mi)
% 10.23/2.00 % (3070631)Refutation not found, incomplete strategy
% 10.23/2.00 % (3070631)------------------------------
% 10.23/2.00 % (3070631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.23/2.00 % (3070631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/2.00 % (3070631)CaDiCaL version: 2.1.3
% 10.23/2.00 % (3070631)Termination reason: Refutation not found, incomplete strategy
% 10.23/2.00 % (3070631)Time elapsed: 0.0000 s
% 10.23/2.00 % (3070631)Peak memory usage: 11 MB
% 10.23/2.00 % (3070631)------------------------------
% 10.23/2.00 % (3070631)------------------------------
% 10.23/2.00 % (3070630)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=91023201:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/302Mi)
% 10.23/2.00 % (3070630)Refutation not found, incomplete strategy
% 10.23/2.00 % (3070630)------------------------------
% 10.23/2.00 % (3070630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.23/2.00 % (3070630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/2.00 % (3070630)CaDiCaL version: 2.1.3
% 10.23/2.00 % (3070630)Termination reason: Refutation not found, incomplete strategy
% 10.23/2.00 % (3070630)Time elapsed: 0.001 s
% 10.23/2.00 % (3070630)Peak memory usage: 11 MB
% 10.23/2.00 % (3070630)Instructions burned: 1 (million)
% 10.23/2.00 % (3070630)------------------------------
% 10.23/2.00 % (3070630)------------------------------
% 10.23/2.00 % (3070633)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
% 10.23/2.00 % (3070633)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 10.23/2.00 % (3070628)Instruction limit reached!
% 10.23/2.00 % (3070628)------------------------------
% 10.23/2.00 % (3070628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.23/2.00 % (3070628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/2.00 % (3070628)CaDiCaL version: 2.1.3
% 10.23/2.00 % (3070633)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1043311037:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2984 on theBenchmark for (2984ds/100Mi)
% 10.23/2.00 % (3070628)Termination reason: Instruction limit
% 10.23/2.00 % (3070628)Termination phase: Saturation
% 10.23/2.00 % (3070628)Time elapsed: 0.037 s
% 10.23/2.00 % (3070628)Peak memory usage: 12 MB
% 10.23/2.00 % (3070628)Instructions burned: 71 (million)
% 10.23/2.00 % (3070609)Instruction limit reached!
% 10.23/2.00 % (3070609)------------------------------
% 10.23/2.00 % (3070609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.23/2.00 % (3070609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/2.00 % (3070609)CaDiCaL version: 2.1.3
% 10.23/2.00 % (3070609)Termination reason: Instruction limit
% 10.23/2.00 % (3070609)Termination phase: Saturation
% 10.23/2.00 % (3070609)Time elapsed: 0.248 s
% 10.23/2.00 % (3070609)Peak memory usage: 13 MB
% 10.23/2.00 % (3070609)Instructions burned: 765 (million)
% 10.23/2.00 % (3070635)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=2193547880:i=76:piset=equals:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/76Mi)
% 10.23/2.00 % (3070637)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=2999253958:i=289:rtra=on_2984 on theBenchmark for (2984ds/289Mi)
% 10.23/2.00 % (3070637)Refutation not found, incomplete strategy
% 10.23/2.00 % (3070637)------------------------------
% 10.23/2.00 % (3070637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.23/2.00 % (3070637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.23/2.00 % (3070637)CaDiCaL version: 2.1.3
% 10.23/2.00 % (3070637)Termination reason: Refutation not found, incomplete strategy
% 10.23/2.00 % (3070637)Time elapsed: 0.002 s
% 10.23/2.00 % (3070637)Peak memory usage: 12 MB
% 10.23/2.00 % (3070637)Instructions burned: 2 (million)
% 10.23/2.00 % (3070638)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=132615670:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2983 on theBenchmark for (2983ds/493Mi)
% 12.58/2.10 % (3070637)------------------------------
% 12.58/2.10 % (3070637)------------------------------
% 12.58/2.10 % (3070633)Instruction limit reached!
% 12.58/2.10 % (3070633)------------------------------
% 12.58/2.10 % (3070633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.10 % (3070633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.10 % (3070633)CaDiCaL version: 2.1.3
% 12.58/2.10 % (3070633)Termination reason: Instruction limit
% 12.58/2.10 % (3070633)Termination phase: Saturation
% 12.58/2.10 % (3070633)Time elapsed: 0.045 s
% 12.58/2.10 % (3070633)Peak memory usage: 12 MB
% 12.58/2.10 % (3070633)Instructions burned: 105 (million)
% 12.58/2.10 % (3070622)Instruction limit reached!
% 12.58/2.10 % (3070622)------------------------------
% 12.58/2.10 % (3070622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.10 % (3070622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.10 % (3070622)CaDiCaL version: 2.1.3
% 12.58/2.10 % (3070622)Termination reason: Instruction limit
% 12.58/2.10 % (3070622)Termination phase: Saturation
% 12.58/2.10 % (3070622)Time elapsed: 0.202 s
% 12.58/2.10 % (3070622)Peak memory usage: 12 MB
% 12.58/2.10 % (3070622)Instructions burned: 431 (million)
% 12.58/2.10 % (3070643)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 12.58/2.10 % (3070642)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=1475588149:cond=on:i=34:hud=10:nm=10:rtra=on_2983 on theBenchmark for (2983ds/34Mi)
% 12.58/2.10 % (3070635)Instruction limit reached!
% 12.58/2.10 % (3070635)------------------------------
% 12.58/2.10 % (3070635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.10 % (3070635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.10 % (3070635)CaDiCaL version: 2.1.3
% 12.58/2.10 % (3070635)Termination reason: Instruction limit
% 12.58/2.10 % (3070635)Termination phase: Saturation
% 12.58/2.10 % (3070635)Time elapsed: 0.038 s
% 12.58/2.10 % (3070635)Peak memory usage: 12 MB
% 12.58/2.10 % (3070635)Instructions burned: 78 (million)
% 12.58/2.10 % (3070643)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=2595002054:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2983 on theBenchmark for (2983ds/372Mi)
% 12.58/2.10 % (3070643)Refutation not found, incomplete strategy
% 12.58/2.10 % (3070643)------------------------------
% 12.58/2.10 % (3070643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.10 % (3070643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.10 % (3070643)CaDiCaL version: 2.1.3
% 12.58/2.10 % (3070643)Termination reason: Refutation not found, incomplete strategy
% 12.58/2.10 % (3070643)Time elapsed: 0.002 s
% 12.58/2.10 % (3070643)Peak memory usage: 12 MB
% 12.58/2.10 % (3070643)Instructions burned: 3 (million)
% 12.58/2.10 % (3070644)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=4207290501:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2983 on theBenchmark for (2983ds/670Mi)
% 12.58/2.10 % (3070643)------------------------------
% 12.58/2.10 % (3070643)------------------------------
% 12.58/2.10 % (3070642)Instruction limit reached!
% 12.58/2.10 % (3070642)------------------------------
% 12.58/2.10 % (3070642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.10 % (3070642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.58/2.10 % (3070642)CaDiCaL version: 2.1.3
% 12.58/2.10 % (3070642)Termination reason: Instruction limit
% 12.58/2.10 % (3070642)Termination phase: Saturation
% 12.58/2.10 % (3070642)Time elapsed: 0.019 s
% 12.58/2.10 % (3070642)Peak memory usage: 12 MB
% 12.58/2.10 % (3070642)Instructions burned: 36 (million)
% 12.58/2.10 % (3070646)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1003070906:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2983 on theBenchmark for (2983ds/647Mi)
% 12.58/2.10 % (3070646)Refutation not found, incomplete strategy
% 12.58/2.10 % (3070646)------------------------------
% 12.58/2.10 % (3070646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.58/2.10 % (3070646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.58/2.23 % (3070646)CaDiCaL version: 2.1.3
% 13.58/2.23 % (3070646)Termination reason: Refutation not found, incomplete strategy
% 13.58/2.23 % (3070646)Time elapsed: 0.001 s
% 13.58/2.23 % (3070646)Peak memory usage: 11 MB
% 13.58/2.23 % (3070646)------------------------------
% 13.58/2.23 % (3070646)------------------------------
% 13.58/2.23 % (3070649)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=4143380102:i=857:add=off:kws=frequency:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/857Mi)
% 13.58/2.23 % (3070651)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=1485149962:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2983 on theBenchmark for (2983ds/693Mi)
% 13.58/2.23 % (3070652)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=904899013:i=285:hud=10:bd=all:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/285Mi)
% 13.58/2.23 % (3070652)Refutation not found, incomplete strategy
% 13.58/2.23 % (3070652)------------------------------
% 13.58/2.23 % (3070652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.58/2.23 % (3070652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.58/2.23 % (3070652)CaDiCaL version: 2.1.3
% 13.58/2.23 % (3070652)Termination reason: Refutation not found, incomplete strategy
% 13.58/2.23 % (3070652)Time elapsed: 0.001 s
% 13.58/2.23 % (3070652)Peak memory usage: 11 MB
% 13.58/2.23 % (3070652)Instructions burned: 1 (million)
% 13.58/2.23 % (3070652)------------------------------
% 13.58/2.23 % (3070652)------------------------------
% 13.58/2.23 % (3070656)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 13.58/2.23 % (3070656)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=2430279227:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2983 on theBenchmark for (2983ds/52Mi)
% 13.58/2.23 % (3070573)Instruction limit reached!
% 13.58/2.23 % (3070573)------------------------------
% 13.58/2.23 % (3070573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.58/2.23 % (3070573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.58/2.23 % (3070573)CaDiCaL version: 2.1.3
% 13.58/2.23 % (3070573)Termination reason: Instruction limit
% 13.58/2.23 % (3070573)Termination phase: Saturation
% 13.58/2.23 % (3070573)Time elapsed: 0.798 s
% 13.58/2.23 % (3070573)Peak memory usage: 13 MB
% 13.58/2.23 % (3070573)Instructions burned: 2187 (million)
% 13.58/2.23 % (3070656)Instruction limit reached!
% 13.58/2.23 % (3070656)------------------------------
% 13.58/2.23 % (3070656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.58/2.23 % (3070656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.58/2.23 % (3070656)CaDiCaL version: 2.1.3
% 13.58/2.23 % (3070656)Termination reason: Instruction limit
% 13.58/2.23 % (3070656)Termination phase: Saturation
% 13.58/2.23 % (3070656)Time elapsed: 0.020 s
% 13.58/2.23 % (3070656)Peak memory usage: 12 MB
% 13.58/2.23 % (3070656)Instructions burned: 52 (million)
% 13.58/2.23 % (3070658)dis+10_1_si=on:random_seed=2202960045:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2982 on theBenchmark for (2982ds/407Mi)
% 13.58/2.23 % (3070658)Refutation not found, incomplete strategy
% 13.58/2.23 % (3070658)------------------------------
% 13.58/2.23 % (3070658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.58/2.23 % (3070658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.58/2.23 % (3070658)CaDiCaL version: 2.1.3
% 13.58/2.23 % (3070658)Termination reason: Refutation not found, incomplete strategy
% 13.58/2.23 % (3070658)Time elapsed: 0.0000 s
% 13.58/2.23 % (3070658)Peak memory usage: 12 MB
% 13.58/2.23 % (3070658)Instructions burned: 1 (million)
% 13.58/2.23 % (3070658)------------------------------
% 13.58/2.23 % (3070658)------------------------------
% 13.58/2.23 % (3070661)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=2197086408:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/336Mi)
% 13.58/2.23 % (3070661)Refutation not found, incomplete strategy
% 13.58/2.23 % (3070661)------------------------------
% 13.58/2.23 % (3070661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.58/2.23 % (3070661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/2.43 % (3070661)CaDiCaL version: 2.1.3
% 14.17/2.43 % (3070661)Termination reason: Refutation not found, incomplete strategy
% 14.17/2.43 % (3070661)Time elapsed: 0.0000 s
% 14.17/2.43 % (3070661)Peak memory usage: 11 MB
% 14.17/2.43 % (3070659)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=1138571365:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/2240Mi)
% 14.17/2.43 % (3070661)------------------------------
% 14.17/2.43 % (3070661)------------------------------
% 14.17/2.43 % (3070664)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=4003858598:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2982 on theBenchmark for (2982ds/1142Mi)
% 14.17/2.43 % (3070664)Refutation not found, incomplete strategy
% 14.17/2.43 % (3070664)------------------------------
% 14.17/2.43 % (3070664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.17/2.43 % (3070664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/2.43 % (3070664)CaDiCaL version: 2.1.3
% 14.17/2.43 % (3070664)Termination reason: Refutation not found, incomplete strategy
% 14.17/2.43 % (3070664)Time elapsed: 0.005 s
% 14.17/2.43 % (3070664)Peak memory usage: 13 MB
% 14.17/2.43 % (3070664)Instructions burned: 17 (million)
% 14.17/2.43 % (3070664)------------------------------
% 14.17/2.43 % (3070664)------------------------------
% 14.17/2.43 % (3070666)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=2517322302:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/376Mi)
% 14.17/2.43 % (3070666)Refutation not found, incomplete strategy
% 14.17/2.43 % (3070666)------------------------------
% 14.17/2.43 % (3070666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.17/2.43 % (3070666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/2.43 % (3070666)CaDiCaL version: 2.1.3
% 14.17/2.43 % (3070666)Termination reason: Refutation not found, incomplete strategy
% 14.17/2.43 % (3070666)Time elapsed: 0.0000 s
% 14.17/2.43 % (3070666)Peak memory usage: 12 MB
% 14.17/2.43 % (3070666)Instructions burned: 1 (million)
% 14.17/2.43 % (3070666)------------------------------
% 14.17/2.43 % (3070666)------------------------------
% 14.17/2.43 % (3070668)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=2706974898:i=766:bd=all:rtra=on_2982 on theBenchmark for (2982ds/766Mi)
% 14.17/2.43 % (3070668)Refutation not found, incomplete strategy
% 14.17/2.43 % (3070668)------------------------------
% 14.17/2.43 % (3070668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.17/2.43 % (3070668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/2.43 % (3070668)CaDiCaL version: 2.1.3
% 14.17/2.43 % (3070668)Termination reason: Refutation not found, incomplete strategy
% 14.17/2.43 % (3070668)Time elapsed: 0.001 s
% 14.17/2.43 % (3070668)Peak memory usage: 13 MB
% 14.17/2.43 % (3070668)Instructions burned: 2 (million)
% 14.17/2.43 % (3070668)------------------------------
% 14.17/2.43 % (3070668)------------------------------
% 14.17/2.43 % (3070670)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 14.17/2.43 % (3070670)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=3495360624: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_2982 on theBenchmark for (2982ds/959Mi)
% 14.17/2.43 % (3070670)Refutation not found, incomplete strategy
% 14.17/2.43 % (3070670)------------------------------
% 14.17/2.43 % (3070670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.17/2.43 % (3070670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/2.43 % (3070670)CaDiCaL version: 2.1.3
% 14.17/2.43 % (3070670)Termination reason: Refutation not found, incomplete strategy
% 14.17/2.43 % (3070670)Time elapsed: 0.001 s
% 14.17/2.43 % (3070670)Peak memory usage: 11 MB
% 14.17/2.43 % (3070670)------------------------------
% 14.17/2.43 % (3070670)------------------------------
% 14.17/2.43 % (3070672)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=4071165393:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2981 on theBenchmark for (2981ds/6359Mi)
% 14.17/2.43 % (3070638)Instruction limit reached!
% 14.97/2.51 % (3070638)------------------------------
% 14.97/2.51 % (3070638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.97/2.51 % (3070638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.97/2.51 % (3070638)CaDiCaL version: 2.1.3
% 14.97/2.51 % (3070638)Termination reason: Instruction limit
% 14.97/2.51 % (3070638)Termination phase: Saturation
% 14.97/2.51 % (3070638)Time elapsed: 0.216 s
% 14.97/2.51 % (3070638)Peak memory usage: 13 MB
% 14.97/2.51 % (3070638)Instructions burned: 495 (million)
% 14.97/2.51 % (3070674)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1980673765:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2981 on theBenchmark for (2981ds/35Mi)
% 14.97/2.51 % (3070674)Refutation not found, incomplete strategy
% 14.97/2.51 % (3070674)------------------------------
% 14.97/2.51 % (3070674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.97/2.51 % (3070674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.97/2.51 % (3070674)CaDiCaL version: 2.1.3
% 14.97/2.51 % (3070674)Termination reason: Refutation not found, incomplete strategy
% 14.97/2.51 % (3070674)Time elapsed: 0.001 s
% 14.97/2.51 % (3070674)Peak memory usage: 11 MB
% 14.97/2.51 % (3070674)------------------------------
% 14.97/2.51 % (3070674)------------------------------
% 14.97/2.51 % (3070676)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3903574901:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2981 on theBenchmark for (2981ds/53Mi)
% 14.97/2.51 % (3070644)Instruction limit reached!
% 14.97/2.51 % (3070644)------------------------------
% 14.97/2.51 % (3070644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.97/2.51 % (3070644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.97/2.51 % (3070644)CaDiCaL version: 2.1.3
% 14.97/2.51 % (3070644)Termination reason: Instruction limit
% 14.97/2.51 % (3070644)Termination phase: Saturation
% 14.97/2.51 % (3070644)Time elapsed: 0.241 s
% 14.97/2.51 % (3070644)Peak memory usage: 12 MB
% 14.97/2.51 % (3070644)Instructions burned: 671 (million)
% 14.97/2.51 % (3070676)Instruction limit reached!
% 14.97/2.51 % (3070676)------------------------------
% 14.97/2.51 % (3070676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.97/2.51 % (3070676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.97/2.51 % (3070676)CaDiCaL version: 2.1.3
% 14.97/2.51 % (3070676)Termination reason: Instruction limit
% 14.97/2.51 % (3070676)Termination phase: Saturation
% 14.97/2.51 % (3070676)Time elapsed: 0.029 s
% 14.97/2.51 % (3070676)Peak memory usage: 12 MB
% 14.97/2.51 % (3070676)Instructions burned: 55 (million)
% 14.97/2.51 % (3070678)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=4071996898:s2a=on:i=876:s2at=6:nm=2:rtra=on_2981 on theBenchmark for (2981ds/876Mi)
% 14.97/2.51 % (3070679)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=632671832:i=57:ep=R:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/57Mi)
% 14.97/2.51 % (3070679)Instruction limit reached!
% 14.97/2.51 % (3070679)------------------------------
% 14.97/2.51 % (3070679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.97/2.51 % (3070679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.97/2.51 % (3070679)CaDiCaL version: 2.1.3
% 14.97/2.51 % (3070679)Termination reason: Instruction limit
% 14.97/2.51 % (3070679)Termination phase: Saturation
% 14.97/2.51 % (3070679)Time elapsed: 0.027 s
% 14.97/2.51 % (3070679)Peak memory usage: 12 MB
% 14.97/2.51 % (3070679)Instructions burned: 58 (million)
% 14.97/2.51 % (3070651)Instruction limit reached!
% 14.97/2.51 % (3070651)------------------------------
% 14.97/2.51 % (3070651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.97/2.51 % (3070651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.97/2.51 % (3070651)CaDiCaL version: 2.1.3
% 14.97/2.51 % (3070651)Termination reason: Instruction limit
% 14.97/2.51 % (3070651)Termination phase: Saturation
% 14.97/2.51 % (3070651)Time elapsed: 0.278 s
% 14.97/2.51 % (3070651)Peak memory usage: 12 MB
% 14.97/2.51 % (3070651)Instructions burned: 693 (million)
% 14.97/2.51 % (3070682)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 14.97/2.51 % (3070682)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3862109823:i=306:bd=all:rtra=on_2980 on theBenchmark for (2980ds/306Mi)
% 14.97/2.59 % (3070682)Refutation not found, incomplete strategy
% 14.97/2.59 % (3070682)------------------------------
% 14.97/2.59 % (3070682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.97/2.59 % (3070682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.97/2.59 % (3070682)CaDiCaL version: 2.1.3
% 14.97/2.59 % (3070682)Termination reason: Refutation not found, incomplete strategy
% 14.97/2.59 % (3070682)Time elapsed: 0.001 s
% 14.97/2.59 % (3070682)Peak memory usage: 12 MB
% 14.97/2.59 % (3070682)Instructions burned: 2 (million)
% 14.97/2.59 % (3070682)------------------------------
% 14.97/2.59 % (3070682)------------------------------
% 14.97/2.59 % (3070683)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=3830911422:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/262Mi)
% 14.97/2.59 % (3070683)Refutation not found, incomplete strategy
% 14.97/2.59 % (3070683)------------------------------
% 14.97/2.59 % (3070683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.97/2.59 % (3070683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.97/2.59 % (3070683)CaDiCaL version: 2.1.3
% 14.97/2.59 % (3070683)Termination reason: Refutation not found, incomplete strategy
% 14.97/2.59 % (3070683)Time elapsed: 0.001 s
% 14.97/2.59 % (3070683)Peak memory usage: 11 MB
% 14.97/2.59 % (3070683)Instructions burned: 1 (million)
% 14.97/2.59 % (3070683)------------------------------
% 14.97/2.59 % (3070683)------------------------------
% 14.97/2.59 % (3070685)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 14.97/2.59 % (3070685)ott+1002_16_sil=128000:si=on:random_seed=890250249:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2980 on theBenchmark for (2980ds/409Mi)
% 14.97/2.59 % (3070687)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=2913366334:s2a=on:i=381:rtra=on_2980 on theBenchmark for (2980ds/381Mi)
% 14.97/2.59 % (3070649)Instruction limit reached!
% 14.97/2.59 % (3070649)------------------------------
% 14.97/2.59 % (3070649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.97/2.59 % (3070649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.97/2.59 % (3070649)CaDiCaL version: 2.1.3
% 14.97/2.59 % (3070649)Termination reason: Instruction limit
% 14.97/2.59 % (3070649)Termination phase: Saturation
% 14.97/2.59 % (3070649)Time elapsed: 0.333 s
% 14.97/2.59 % (3070649)Peak memory usage: 13 MB
% 14.97/2.59 % (3070649)Instructions burned: 859 (million)
% 14.97/2.59 % (3070690)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4066007498:cond=on:i=324:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/324Mi)
% 14.97/2.59 % (3070685)Instruction limit reached!
% 14.97/2.59 % (3070685)------------------------------
% 14.97/2.59 % (3070685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.97/2.59 % (3070685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.97/2.59 % (3070685)CaDiCaL version: 2.1.3
% 14.97/2.59 % (3070685)Termination reason: Instruction limit
% 14.97/2.59 % (3070685)Termination phase: Saturation
% 14.97/2.59 % (3070685)Time elapsed: 0.156 s
% 14.97/2.59 % (3070685)Peak memory usage: 13 MB
% 14.97/2.59 % (3070685)Instructions burned: 412 (million)
% 14.97/2.59 % (3070690)Instruction limit reached!
% 14.97/2.59 % (3070690)------------------------------
% 14.97/2.59 % (3070690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.97/2.59 % (3070690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.97/2.59 % (3070690)CaDiCaL version: 2.1.3
% 14.97/2.59 % (3070690)Termination reason: Instruction limit
% 14.97/2.59 % (3070690)Termination phase: Saturation
% 14.97/2.59 % (3070690)Time elapsed: 0.142 s
% 14.97/2.59 % (3070690)Peak memory usage: 12 MB
% 14.97/2.59 % (3070690)Instructions burned: 324 (million)
% 14.97/2.59 % (3070692)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3318669864:i=240:kws=inv_precedence:rtra=on_2978 on theBenchmark for (2978ds/240Mi)
% 14.97/2.59 % (3070692)Refutation not found, incomplete strategy
% 14.97/2.59 % (3070692)------------------------------
% 14.97/2.59 % (3070692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.97/2.59 % (3070687)Instruction limit reached!
% 14.97/2.59 % (3070687)------------------------------
% 16.28/2.73 % (3070687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.28/2.73 % (3070687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.28/2.73 % (3070692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.28/2.73 % (3070687)CaDiCaL version: 2.1.3
% 16.28/2.73 % (3070692)CaDiCaL version: 2.1.3
% 16.28/2.73 % (3070687)Termination reason: Instruction limit
% 16.28/2.73 % (3070687)Termination phase: Saturation
% 16.28/2.73 % (3070687)Time elapsed: 0.171 s
% 16.28/2.73 % (3070692)Termination reason: Refutation not found, incomplete strategy
% 16.28/2.73 % (3070692)Time elapsed: 0.001 s
% 16.28/2.73 % (3070687)Peak memory usage: 12 MB
% 16.28/2.73 % (3070692)Peak memory usage: 12 MB
% 16.28/2.73 % (3070687)Instructions burned: 381 (million)
% 16.28/2.73 % (3070692)Instructions burned: 1 (million)
% 16.28/2.73 % (3070692)------------------------------
% 16.28/2.73 % (3070692)------------------------------
% 16.28/2.73 % (3070588)Instruction limit reached!
% 16.28/2.73 % (3070588)------------------------------
% 16.28/2.73 % (3070588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.28/2.73 % (3070588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.28/2.73 % (3070588)CaDiCaL version: 2.1.3
% 16.28/2.73 % (3070588)Termination reason: Instruction limit
% 16.28/2.73 % (3070588)Termination phase: Saturation
% 16.28/2.73 % (3070588)Time elapsed: 1.134 s
% 16.28/2.73 % (3070588)Peak memory usage: 18 MB
% 16.28/2.73 % (3070588)Instructions burned: 2470 (million)
% 16.28/2.73 % (3070693)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 16.28/2.73 % (3070693)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3522671963:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/124Mi)
% 16.28/2.73 % (3070695)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=540683660:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2978 on theBenchmark for (2978ds/223Mi)
% 16.28/2.73 % (3070696)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4017652947:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2978 on theBenchmark for (2978ds/282Mi)
% 16.28/2.73 % (3070697)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=2086689506:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/464Mi)
% 16.28/2.73 % (3070697)Refutation not found, incomplete strategy
% 16.28/2.73 % (3070697)------------------------------
% 16.28/2.73 % (3070697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.28/2.73 % (3070697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.28/2.73 % (3070697)CaDiCaL version: 2.1.3
% 16.28/2.73 % (3070697)Termination reason: Refutation not found, incomplete strategy
% 16.28/2.73 % (3070697)Time elapsed: 0.001 s
% 16.28/2.73 % (3070697)Peak memory usage: 11 MB
% 16.28/2.73 % (3070697)Instructions burned: 1 (million)
% 16.28/2.73 % (3070697)------------------------------
% 16.28/2.73 % (3070697)------------------------------
% 16.28/2.73 % (3070702)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=1717024652:i=88:s2at=3:nm=2:rtra=on:rawr=on_2977 on theBenchmark for (2977ds/88Mi)
% 16.28/2.73 % (3070693)Instruction limit reached!
% 16.28/2.73 % (3070693)------------------------------
% 16.28/2.73 % (3070693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.28/2.73 % (3070693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.28/2.73 % (3070693)CaDiCaL version: 2.1.3
% 16.28/2.73 % (3070693)Termination reason: Instruction limit
% 16.28/2.73 % (3070693)Termination phase: Saturation
% 16.28/2.73 % (3070693)Time elapsed: 0.046 s
% 16.28/2.73 % (3070693)Peak memory usage: 12 MB
% 16.28/2.73 % (3070693)Instructions burned: 125 (million)
% 16.28/2.73 % (3070704)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2594769412:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2977 on theBenchmark for (2977ds/280Mi)
% 16.28/2.73 % (3070702)Instruction limit reached!
% 16.28/2.73 % (3070702)------------------------------
% 16.28/2.73 % (3070702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.28/2.73 % (3070702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.28/2.73 % (3070702)CaDiCaL version: 2.1.3
% 16.51/2.88 % (3070702)Termination reason: Instruction limit
% 16.51/2.88 % (3070702)Termination phase: Saturation
% 16.51/2.88 % (3070702)Time elapsed: 0.039 s
% 16.51/2.88 % (3070702)Peak memory usage: 12 MB
% 16.51/2.88 % (3070702)Instructions burned: 88 (million)
% 16.51/2.88 % (3070706)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 16.51/2.88 % (3070695)Instruction limit reached!
% 16.51/2.88 % (3070695)------------------------------
% 16.51/2.88 % (3070695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.51/2.88 % (3070695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/2.88 % (3070695)CaDiCaL version: 2.1.3
% 16.51/2.88 % (3070695)Termination reason: Instruction limit
% 16.51/2.88 % (3070695)Termination phase: Saturation
% 16.51/2.88 % (3070695)Time elapsed: 0.078 s
% 16.51/2.88 % (3070695)Peak memory usage: 13 MB
% 16.51/2.88 % (3070695)Instructions burned: 223 (million)
% 16.51/2.88 % (3070706)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=651784898:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/4386Mi)
% 16.51/2.88 % (3070707)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 16.51/2.88 % (3070707)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 16.51/2.88 % (3070707)ott+21_3:13_sil=128000:cnfonf=off:sas=cadical:si=on:sp=arity:lma=off:lsd=10:uwa=one_side_interpreted:mep=off:chr=on:random_seed=2858479857:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2977 on theBenchmark for (2977ds/483Mi)
% 16.51/2.88 % (3070707)Refutation not found, incomplete strategy
% 16.51/2.88 % (3070707)------------------------------
% 16.51/2.88 % (3070707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.51/2.88 % (3070707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/2.88 % (3070707)CaDiCaL version: 2.1.3
% 16.51/2.88 % (3070707)Termination reason: Refutation not found, incomplete strategy
% 16.51/2.88 % (3070707)Time elapsed: 0.001 s
% 16.51/2.88 % (3070707)Peak memory usage: 12 MB
% 16.51/2.88 % (3070707)------------------------------
% 16.51/2.88 % (3070707)------------------------------
% 16.51/2.88 % (3070678)Instruction limit reached!
% 16.51/2.88 % (3070678)------------------------------
% 16.51/2.88 % (3070678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.51/2.88 % (3070678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/2.88 % (3070678)CaDiCaL version: 2.1.3
% 16.51/2.88 % (3070678)Termination reason: Instruction limit
% 16.51/2.88 % (3070678)Termination phase: Saturation
% 16.51/2.88 % (3070678)Time elapsed: 0.395 s
% 16.51/2.88 % (3070678)Peak memory usage: 13 MB
% 16.51/2.88 % (3070678)Instructions burned: 876 (million)
% 16.51/2.88 % (3070710)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1011506572:i=73:rtra=on_2977 on theBenchmark for (2977ds/73Mi)
% 16.51/2.88 % (3070710)Refutation not found, incomplete strategy
% 16.51/2.88 % (3070710)------------------------------
% 16.51/2.88 % (3070710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.51/2.88 % (3070710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.51/2.88 % (3070710)CaDiCaL version: 2.1.3
% 16.51/2.88 % (3070710)Termination reason: Refutation not found, incomplete strategy
% 16.51/2.88 % (3070710)Time elapsed: 0.002 s
% 16.51/2.88 % (3070710)Peak memory usage: 12 MB
% 16.51/2.88 % (3070710)Instructions burned: 2 (million)
% 16.51/2.88 % (3070710)------------------------------
% 16.51/2.88 % (3070710)------------------------------
% 16.51/2.88 % (3070711)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=628349553:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2976 on theBenchmark for (2976ds/176Mi)
% 16.51/2.88 % (3070713)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 16.51/2.88 % (3070713)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=897993945:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2976 on theBenchmark for (2976ds/39Mi)
% 16.51/2.88 % (3070696)Instruction limit reached!
% 16.51/2.88 % (3070696)------------------------------
% 16.51/2.88 % (3070696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.39/3.15 % (3070696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.39/3.15 % (3070696)CaDiCaL version: 2.1.3
% 20.39/3.15 % (3070696)Termination reason: Instruction limit
% 20.39/3.15 % (3070696)Termination phase: Saturation
% 20.39/3.15 % (3070696)Time elapsed: 0.145 s
% 20.39/3.15 % (3070696)Peak memory usage: 14 MB
% 20.39/3.15 % (3070696)Instructions burned: 283 (million)
% 20.39/3.15 % (3070713)Instruction limit reached!
% 20.39/3.15 % (3070713)------------------------------
% 20.39/3.15 % (3070713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.39/3.15 % (3070713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.39/3.15 % (3070713)CaDiCaL version: 2.1.3
% 20.39/3.15 % (3070713)Termination reason: Instruction limit
% 20.39/3.15 % (3070713)Termination phase: Saturation
% 20.39/3.15 % (3070713)Time elapsed: 0.020 s
% 20.39/3.15 % (3070713)Peak memory usage: 12 MB
% 20.39/3.15 % (3070713)Instructions burned: 39 (million)
% 20.39/3.15 % (3070716)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1428996945:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2976 on theBenchmark for (2976ds/708Mi)
% 20.39/3.15 % (3070717)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
% 20.39/3.15 % (3070717)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=1481902250:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/252Mi)
% 20.39/3.15 % (3070704)Instruction limit reached!
% 20.39/3.15 % (3070704)------------------------------
% 20.39/3.15 % (3070704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.39/3.15 % (3070704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.39/3.15 % (3070704)CaDiCaL version: 2.1.3
% 20.39/3.15 % (3070704)Termination reason: Instruction limit
% 20.39/3.15 % (3070704)Termination phase: Saturation
% 20.39/3.15 % (3070704)Time elapsed: 0.133 s
% 20.39/3.15 % (3070704)Peak memory usage: 12 MB
% 20.39/3.15 % (3070704)Instructions burned: 282 (million)
% 20.39/3.15 % (3070720)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=983434287:i=823:fsr=off:rtra=on_2976 on theBenchmark for (2976ds/823Mi)
% 20.39/3.15 % (3070711)Instruction limit reached!
% 20.39/3.15 % (3070711)------------------------------
% 20.39/3.15 % (3070711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.39/3.15 % (3070711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.39/3.15 % (3070711)CaDiCaL version: 2.1.3
% 20.39/3.15 % (3070711)Termination reason: Instruction limit
% 20.39/3.15 % (3070711)Termination phase: Saturation
% 20.39/3.15 % (3070711)Time elapsed: 0.082 s
% 20.39/3.15 % (3070711)Peak memory usage: 12 MB
% 20.39/3.15 % (3070711)Instructions burned: 178 (million)
% 20.39/3.15 % (3070722)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 20.39/3.15 % (3070722)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=456047055:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/16202Mi)
% 20.39/3.15 % (3070722)Refutation not found, incomplete strategy
% 20.39/3.15 % (3070722)------------------------------
% 20.39/3.15 % (3070722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.39/3.15 % (3070722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.39/3.15 % (3070722)CaDiCaL version: 2.1.3
% 20.39/3.15 % (3070722)Termination reason: Refutation not found, incomplete strategy
% 20.39/3.15 % (3070722)Time elapsed: 0.001 s
% 20.39/3.15 % (3070722)Peak memory usage: 11 MB
% 20.39/3.15 % (3070722)Instructions burned: 1 (million)
% 20.39/3.15 % (3070722)------------------------------
% 20.39/3.15 % (3070722)------------------------------
% 20.39/3.15 % (3070724)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=233809572:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/300Mi)
% 20.39/3.15 % (3070717)Instruction limit reached!
% 20.39/3.15 % (3070717)------------------------------
% 20.39/3.15 % (3070717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.39/3.15 % (3070717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.21 % (3070717)CaDiCaL version: 2.1.3
% 20.80/3.21 % (3070717)Termination reason: Instruction limit
% 20.80/3.21 % (3070717)Termination phase: Saturation
% 20.80/3.21 % (3070717)Time elapsed: 0.101 s
% 20.80/3.21 % (3070717)Peak memory usage: 12 MB
% 20.80/3.21 % (3070717)Instructions burned: 252 (million)
% 20.80/3.21 % (3070726)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 20.80/3.21 % (3070726)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 20.80/3.21 % (3070726)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=3611039157:i=177:add=on:bd=preordered:rtra=on:rawr=on_2975 on theBenchmark for (2975ds/177Mi)
% 20.80/3.21 % (3070726)Instruction limit reached!
% 20.80/3.21 % (3070726)------------------------------
% 20.80/3.21 % (3070726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.21 % (3070726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.21 % (3070726)CaDiCaL version: 2.1.3
% 20.80/3.21 % (3070726)Termination reason: Instruction limit
% 20.80/3.21 % (3070726)Termination phase: Saturation
% 20.80/3.21 % (3070726)Time elapsed: 0.080 s
% 20.80/3.21 % (3070726)Peak memory usage: 13 MB
% 20.80/3.21 % (3070726)Instructions burned: 178 (million)
% 20.80/3.21 % (3070724)Instruction limit reached!
% 20.80/3.21 % (3070724)------------------------------
% 20.80/3.21 % (3070724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.21 % (3070724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.21 % (3070724)CaDiCaL version: 2.1.3
% 20.80/3.21 % (3070724)Termination reason: Instruction limit
% 20.80/3.21 % (3070724)Termination phase: Saturation
% 20.80/3.21 % (3070724)Time elapsed: 0.130 s
% 20.80/3.21 % (3070724)Peak memory usage: 12 MB
% 20.80/3.21 % (3070724)Instructions burned: 301 (million)
% 20.80/3.21 % (3070728)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=216526997:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/715Mi)
% 20.80/3.21 % (3070729)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 20.80/3.21 % (3070728)Refutation not found, incomplete strategy
% 20.80/3.21 % (3070728)------------------------------
% 20.80/3.21 % (3070728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.21 % (3070729)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 20.80/3.21 % (3070728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.21 % (3070728)CaDiCaL version: 2.1.3
% 20.80/3.21 % (3070728)Termination reason: Refutation not found, incomplete strategy
% 20.80/3.21 % (3070728)Time elapsed: 0.001 s
% 20.80/3.21 % (3070728)Peak memory usage: 11 MB
% 20.80/3.21 % (3070728)Instructions burned: 1 (million)
% 20.80/3.21 % (3070728)------------------------------
% 20.80/3.21 % (3070728)------------------------------
% 20.80/3.21 % (3070729)dis+11_1_sil=128000:plsqc=3:cnfonf=lazy_gen:si=on:sp=const_max:lma=off:plsqr=19,3:lcm=predicate:uwa=off:fd=preordered:nwc=1:random_seed=3738863210:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2974 on theBenchmark for (2974ds/230Mi)
% 20.80/3.21 % (3070729)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 20.80/3.21 % (3070716)Instruction limit reached!
% 20.80/3.21 % (3070716)------------------------------
% 20.80/3.21 % (3070716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.21 % (3070716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.21 % (3070716)CaDiCaL version: 2.1.3
% 20.80/3.21 % (3070716)Termination reason: Instruction limit
% 20.80/3.21 % (3070716)Termination phase: Saturation
% 20.80/3.21 % (3070716)Time elapsed: 0.245 s
% 20.80/3.21 % (3070716)Peak memory usage: 13 MB
% 20.80/3.21 % (3070716)Instructions burned: 709 (million)
% 20.80/3.21 % (3070731)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1958692823:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2973 on theBenchmark for (2973ds/606Mi)
% 20.80/3.21 % (3070733)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 20.80/3.21 % (3070733)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=4048515768:lrd=on:i=841:nm=0:rtra=on_2973 on theBenchmark for (2973ds/841Mi)
% 20.80/3.28 % (3070729)Instruction limit reached!
% 20.80/3.28 % (3070729)------------------------------
% 20.80/3.28 % (3070729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.28 % (3070729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.28 % (3070729)CaDiCaL version: 2.1.3
% 20.80/3.28 % (3070729)Termination reason: Instruction limit
% 20.80/3.28 % (3070729)Termination phase: Saturation
% 20.80/3.28 % (3070729)Time elapsed: 0.108 s
% 20.80/3.28 % (3070729)Peak memory usage: 13 MB
% 20.80/3.28 % (3070729)Instructions burned: 230 (million)
% 20.80/3.28 % (3070736)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1869050801:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2972 on theBenchmark for (2972ds/445Mi)
% 20.80/3.28 % (3070720)Instruction limit reached!
% 20.80/3.28 % (3070720)------------------------------
% 20.80/3.28 % (3070720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.28 % (3070720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.28 % (3070720)CaDiCaL version: 2.1.3
% 20.80/3.28 % (3070720)Termination reason: Instruction limit
% 20.80/3.28 % (3070720)Termination phase: Saturation
% 20.80/3.28 % (3070720)Time elapsed: 0.343 s
% 20.80/3.28 % (3070720)Peak memory usage: 14 MB
% 20.80/3.28 % (3070720)Instructions burned: 825 (million)
% 20.80/3.28 % (3070738)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3904624234:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2972 on theBenchmark for (2972ds/71Mi)
% 20.80/3.28 % (3070738)Instruction limit reached!
% 20.80/3.28 % (3070738)------------------------------
% 20.80/3.28 % (3070738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.28 % (3070738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.28 % (3070738)CaDiCaL version: 2.1.3
% 20.80/3.28 % (3070738)Termination reason: Instruction limit
% 20.80/3.28 % (3070738)Termination phase: Saturation
% 20.80/3.28 % (3070738)Time elapsed: 0.037 s
% 20.80/3.28 % (3070738)Peak memory usage: 12 MB
% 20.80/3.28 % (3070738)Instructions burned: 72 (million)
% 20.80/3.28 % (3070740)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
% 20.80/3.28 % (3070740)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 20.80/3.28 % (3070740)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3039620998:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2971 on theBenchmark for (2971ds/100Mi)
% 20.80/3.28 % (3070740)Instruction limit reached!
% 20.80/3.28 % (3070740)------------------------------
% 20.80/3.28 % (3070740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.28 % (3070740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.28 % (3070740)CaDiCaL version: 2.1.3
% 20.80/3.28 % (3070740)Termination reason: Instruction limit
% 20.80/3.28 % (3070740)Termination phase: Saturation
% 20.80/3.28 % (3070740)Time elapsed: 0.044 s
% 20.80/3.28 % (3070740)Peak memory usage: 12 MB
% 20.80/3.28 % (3070740)Instructions burned: 102 (million)
% 20.80/3.28 % (3070742)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 20.80/3.28 % (3070742)lrs+2_128_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=const_max:sos=on:plsqr=32,1:spb=goal:uwa=interpreted_only:slsqc=3:random_seed=4242939599:i=1352:add=on:aac=none:rtra=on_2971 on theBenchmark for (2971ds/1352Mi)
% 20.80/3.28 % (3070742)Refutation not found, incomplete strategy
% 20.80/3.28 % (3070742)------------------------------
% 20.80/3.28 % (3070742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.28 % (3070742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.28 % (3070742)CaDiCaL version: 2.1.3
% 20.80/3.28 % (3070742)Termination reason: Refutation not found, incomplete strategy
% 20.80/3.28 % (3070742)Time elapsed: 0.002 s
% 20.80/3.28 % (3070742)Peak memory usage: 12 MB
% 20.80/3.28 % (3070742)Instructions burned: 3 (million)
% 20.80/3.28 % (3070742)------------------------------
% 21.50/3.42 % (3070742)------------------------------
% 21.50/3.42 % (3070731)Instruction limit reached!
% 21.50/3.42 % (3070731)------------------------------
% 21.50/3.42 % (3070731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.50/3.42 % (3070731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.50/3.42 % (3070731)CaDiCaL version: 2.1.3
% 21.50/3.42 % (3070731)Termination reason: Instruction limit
% 21.50/3.42 % (3070731)Termination phase: Saturation
% 21.50/3.42 % (3070731)Time elapsed: 0.280 s
% 21.50/3.42 % (3070731)Peak memory usage: 13 MB
% 21.50/3.42 % (3070731)Instructions burned: 606 (million)
% 21.50/3.42 % (3070659)Instruction limit reached!
% 21.50/3.42 % (3070659)------------------------------
% 21.50/3.42 % (3070659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.50/3.42 % (3070659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.50/3.42 % (3070659)CaDiCaL version: 2.1.3
% 21.50/3.42 % (3070659)Termination reason: Instruction limit
% 21.50/3.42 % (3070659)Termination phase: Saturation
% 21.50/3.42 % (3070659)Time elapsed: 1.152 s
% 21.50/3.42 % (3070659)Peak memory usage: 17 MB
% 21.50/3.42 % (3070659)Instructions burned: 2241 (million)
% 21.50/3.42 % (3070744)lrs-1002_4:1_sfv=off:to=lpo:plsq=on:prc=on:e2e=on:si=on:hsqlw=5:ser=on:spb=goal:acc=on:uwa=off:foolp=on:s2agt=16:slsqc=1:slsq=on:random_seed=1008973296:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2971 on theBenchmark for (2971ds/646Mi)
% 21.50/3.42 % (3070745)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=3976769552:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2971 on theBenchmark for (2971ds/1924Mi)
% 21.50/3.42 % (3070745)Refutation not found, incomplete strategy
% 21.50/3.42 % (3070745)------------------------------
% 21.50/3.42 % (3070745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.50/3.42 % (3070745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.50/3.42 % (3070745)CaDiCaL version: 2.1.3
% 21.50/3.42 % (3070745)Termination reason: Refutation not found, incomplete strategy
% 21.50/3.42 % (3070745)Time elapsed: 0.001 s
% 21.50/3.42 % (3070745)Peak memory usage: 11 MB
% 21.50/3.42 % (3070745)------------------------------
% 21.50/3.42 % (3070745)------------------------------
% 21.50/3.42 % (3070746)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3299521371:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2970 on theBenchmark for (2970ds/984Mi)
% 21.50/3.42 % (3070746)Refutation not found, incomplete strategy
% 21.50/3.42 % (3070746)------------------------------
% 21.50/3.42 % (3070746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.50/3.42 % (3070746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.50/3.42 % (3070746)CaDiCaL version: 2.1.3
% 21.50/3.42 % (3070746)Termination reason: Refutation not found, incomplete strategy
% 21.50/3.42 % (3070746)Time elapsed: 0.001 s
% 21.50/3.42 % (3070746)Peak memory usage: 12 MB
% 21.50/3.42 % (3070746)Instructions burned: 2 (million)
% 21.50/3.42 % (3070746)------------------------------
% 21.50/3.42 % (3070746)------------------------------
% 21.50/3.42 % (3070749)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=2374773841:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2970 on theBenchmark for (2970ds/592Mi)
% 21.50/3.42 % (3070751)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=1902011207:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2970 on theBenchmark for (2970ds/872Mi)
% 21.50/3.42 % (3070751)Refutation not found, incomplete strategy
% 21.50/3.42 % (3070751)------------------------------
% 21.50/3.42 % (3070751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.50/3.42 % (3070751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.50/3.42 % (3070751)CaDiCaL version: 2.1.3
% 21.50/3.42 % (3070751)Termination reason: Refutation not found, incomplete strategy
% 21.50/3.42 % (3070751)Time elapsed: 0.001 s
% 21.50/3.42 % (3070751)Peak memory usage: 11 MB
% 21.50/3.42 % (3070751)Instructions burned: 1 (million)
% 21.50/3.42 % (3070751)------------------------------
% 21.50/3.42 % (3070751)------------------------------
% 21.50/3.42 % (3070736)Instruction limit reached!
% 21.50/3.42 % (3070736)------------------------------
% 21.50/3.42 % (3070736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.50/3.42 % (3070736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.63 % (3070736)CaDiCaL version: 2.1.3
% 22.66/3.63 % (3070736)Termination reason: Instruction limit
% 22.66/3.63 % (3070736)Termination phase: Saturation
% 22.66/3.63 % (3070736)Time elapsed: 0.226 s
% 22.66/3.63 % (3070736)Peak memory usage: 14 MB
% 22.66/3.63 % (3070736)Instructions burned: 446 (million)
% 22.66/3.63 % (3070754)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 22.66/3.63 % (3070754)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=2002260437:i=999:add=on:rtra=on_2970 on theBenchmark for (2970ds/999Mi)
% 22.66/3.63 % (3070755)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 22.66/3.63 % (3070755)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=1809014134:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2970 on theBenchmark for (2970ds/244Mi)
% 22.66/3.63 % (3070755)Refutation not found, incomplete strategy
% 22.66/3.63 % (3070755)------------------------------
% 22.66/3.63 % (3070755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.63 % (3070755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.63 % (3070755)CaDiCaL version: 2.1.3
% 22.66/3.63 % (3070755)Termination reason: Refutation not found, incomplete strategy
% 22.66/3.63 % (3070755)Time elapsed: 0.002 s
% 22.66/3.63 % (3070755)Peak memory usage: 11 MB
% 22.66/3.63 % (3070755)Instructions burned: 3 (million)
% 22.66/3.63 % (3070755)------------------------------
% 22.66/3.63 % (3070755)------------------------------
% 22.66/3.63 % (3070758)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=3954420419:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2970 on theBenchmark for (2970ds/113Mi)
% 22.66/3.63 % (3070758)Refutation not found, incomplete strategy
% 22.66/3.63 % (3070758)------------------------------
% 22.66/3.63 % (3070758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.63 % (3070758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.63 % (3070758)CaDiCaL version: 2.1.3
% 22.66/3.63 % (3070758)Termination reason: Refutation not found, incomplete strategy
% 22.66/3.63 % (3070758)Time elapsed: 0.001 s
% 22.66/3.63 % (3070758)Peak memory usage: 12 MB
% 22.66/3.63 % (3070758)Instructions burned: 2 (million)
% 22.66/3.63 % (3070758)------------------------------
% 22.66/3.63 % (3070758)------------------------------
% 22.66/3.63 % (3070733)Instruction limit reached!
% 22.66/3.63 % (3070733)------------------------------
% 22.66/3.63 % (3070733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.63 % (3070733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.63 % (3070733)CaDiCaL version: 2.1.3
% 22.66/3.63 % (3070733)Termination reason: Instruction limit
% 22.66/3.63 % (3070733)Termination phase: Saturation
% 22.66/3.63 % (3070733)Time elapsed: 0.381 s
% 22.66/3.63 % (3070733)Peak memory usage: 13 MB
% 22.66/3.63 % (3070733)Instructions burned: 843 (million)
% 22.66/3.63 % (3070760)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2361405747:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2969 on theBenchmark for (2969ds/7795Mi)
% 22.66/3.63 % (3070760)Refutation not found, incomplete strategy
% 22.66/3.63 % (3070760)------------------------------
% 22.66/3.63 % (3070760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.63 % (3070760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.63 % (3070760)CaDiCaL version: 2.1.3
% 22.66/3.63 % (3070760)Termination reason: Refutation not found, incomplete strategy
% 22.66/3.63 % (3070760)Time elapsed: 0.001 s
% 22.66/3.63 % (3070760)Peak memory usage: 11 MB
% 22.66/3.63 % (3070760)------------------------------
% 22.66/3.63 % (3070760)------------------------------
% 22.66/3.63 % (3070761)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1453387327:st=2:i=5026:sd=1:rtra=on:ss=axioms_2969 on theBenchmark for (2969ds/5026Mi)
% 22.66/3.63 % (3070761)Refutation not found, incomplete strategy
% 22.66/3.63 % (3070761)------------------------------
% 22.66/3.63 % (3070761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.63 % (3070761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.63 % (3070761)CaDiCaL version: 2.1.3
% 22.66/3.63 % (3070761)Termination reason: Refutation not found, incomplete strategy
% 22.66/3.63 % (3070761)Time elapsed: 0.001 s
% 22.66/3.63 % (3070761)Peak memory usage: 11 MB
% 22.66/3.63 % (3070761)------------------------------
% 22.66/3.63 % (3070761)------------------------------
% 22.66/3.63 % (3070763)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 22.66/3.63 % (3070763)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=682189063:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2969 on theBenchmark for (2969ds/763Mi)
% 22.66/3.63 % (3070763)Refutation not found, incomplete strategy
% 22.66/3.63 % (3070763)------------------------------
% 22.66/3.63 % (3070763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.63 % (3070763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.63 % (3070763)CaDiCaL version: 2.1.3
% 22.66/3.63 % (3070763)Termination reason: Refutation not found, incomplete strategy
% 22.66/3.63 % (3070763)Time elapsed: 0.001 s
% 22.66/3.63 % (3070763)Peak memory usage: 11 MB
% 22.66/3.63 % (3070763)Instructions burned: 1 (million)
% 22.66/3.63 % (3070763)------------------------------
% 22.66/3.63 % (3070763)------------------------------
% 22.66/3.63 % (3070765)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2600401228:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2969 on theBenchmark for (2969ds/1144Mi)
% 22.66/3.63 % (3070765)Refutation not found, incomplete strategy
% 22.66/3.63 % (3070765)------------------------------
% 22.66/3.63 % (3070765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.63 % (3070765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.63 % (3070765)CaDiCaL version: 2.1.3
% 22.66/3.63 % (3070765)Termination reason: Refutation not found, incomplete strategy
% 22.66/3.63 % (3070765)Time elapsed: 0.001 s
% 22.66/3.63 % (3070765)Peak memory usage: 11 MB
% 22.66/3.63 % (3070765)------------------------------
% 22.66/3.63 % (3070765)------------------------------
% 22.66/3.63 % (3070767)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 22.66/3.63 % (3070767)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=2480302305:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2969 on theBenchmark for (2969ds/52Mi)
% 22.66/3.63 % (3070769)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=1423820628:i=1724:fsr=off:rtra=on:fe=abstraction_2969 on theBenchmark for (2969ds/1724Mi)
% 22.66/3.63 % (3070767)Instruction limit reached!
% 22.66/3.63 % (3070767)------------------------------
% 22.66/3.63 % (3070767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.63 % (3070767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.63 % (3070767)CaDiCaL version: 2.1.3
% 22.66/3.63 % (3070767)Termination reason: Instruction limit
% 22.66/3.63 % (3070767)Termination phase: Saturation
% 22.66/3.63 % (3070767)Time elapsed: 0.022 s
% 22.66/3.63 % (3070767)Peak memory usage: 12 MB
% 22.66/3.63 % (3070767)Instructions burned: 55 (million)
% 22.66/3.63 % (3070772)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=3693727444:i=439:add=on:slsql=off:rtra=on:ntd=on_2969 on theBenchmark for (2969ds/439Mi)
% 22.66/3.63 % (3070744)Instruction limit reached!
% 22.66/3.63 % (3070744)------------------------------
% 22.66/3.63 % (3070744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.63 % (3070744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.63 % (3070744)CaDiCaL version: 2.1.3
% 22.66/3.63 % (3070744)Termination reason: Instruction limit
% 22.66/3.63 % (3070744)Termination phase: Saturation
% 22.66/3.63 % (3070744)Time elapsed: 0.237 s
% 22.66/3.63 % (3070744)Peak memory usage: 14 MB
% 22.66/3.63 % (3070744)Instructions burned: 648 (million)
% 22.66/3.63 % (3070774)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3453818002:i=6395:sd=1:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/6395Mi)
% 22.66/3.63 % (3070774)Refutation not found, incomplete strategy
% 22.66/3.63 % (3070774)------------------------------
% 22.66/3.63 % (3070774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.63 % (3070774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.63 % (3070774)CaDiCaL version: 2.1.3
% 22.66/3.63 % (3070774)Termination reason: Refutation not found, incomplete strategy
% 22.66/3.63 % (3070774)Time elapsed: 0.001 s
% 22.66/3.63 % (3070774)Peak memory usage: 11 MB
% 22.66/3.63 % (3070774)Instructions burned: 1 (million)
% 22.66/3.63 % (3070774)------------------------------
% 22.66/3.63 % (3070774)------------------------------
% 22.66/3.63 % (3070776)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 22.66/3.63 % (3070749)Instruction limit reached!
% 22.66/3.63 % (3070749)------------------------------
% 22.66/3.63 % (3070749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.63 % (3070749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.63 % (3070749)CaDiCaL version: 2.1.3
% 22.66/3.63 % (3070749)Termination reason: Instruction limit
% 22.66/3.63 % (3070749)Termination phase: Saturation
% 22.66/3.63 % (3070749)Time elapsed: 0.251 s
% 22.66/3.63 % (3070749)Peak memory usage: 13 MB
% 22.66/3.63 % (3070749)Instructions burned: 592 (million)
% 22.66/3.63 % (3070776)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=2255025905:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2968 on theBenchmark for (2968ds/6762Mi)
% 22.66/3.63 % (3070776)Refutation not found, incomplete strategy
% 22.66/3.63 % (3070776)------------------------------
% 22.66/3.63 % (3070776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.63 % (3070776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.63 % (3070776)CaDiCaL version: 2.1.3
% 22.66/3.63 % (3070776)Termination reason: Refutation not found, incomplete strategy
% 22.66/3.63 % (3070776)Time elapsed: 0.001 s
% 22.66/3.63 % (3070776)Peak memory usage: 12 MB
% 22.66/3.63 % (3070776)------------------------------
% 22.66/3.63 % (3070776)------------------------------
% 22.66/3.63 % (3070777)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 22.66/3.63 % (3070777)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=2758895466:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2968 on theBenchmark for (2968ds/376Mi)
% 22.66/3.63 % (3070779)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=3257532234:i=965:bd=all:ins=4:rtra=on_2968 on theBenchmark for (2968ds/965Mi)
% 22.66/3.63 % (3070772)Instruction limit reached!
% 22.66/3.63 % (3070772)------------------------------
% 22.66/3.63 % (3070772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.63 % (3070772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.63 % (3070772)CaDiCaL version: 2.1.3
% 22.66/3.63 % (3070772)Termination reason: Instruction limit
% 22.66/3.63 % (3070772)Termination phase: Saturation
% 22.66/3.63 % (3070772)Time elapsed: 0.150 s
% 22.66/3.63 % (3070772)Peak memory usage: 12 MB
% 22.66/3.63 % (3070772)Instructions burned: 441 (million)
% 22.66/3.63 % (3070782)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2987356524:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2967 on theBenchmark for (2967ds/5013Mi)
% 22.66/3.63 % (3070782)Refutation not found, incomplete strategy
% 22.66/3.63 % (3070782)------------------------------
% 22.66/3.63 % (3070782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.63 % (3070782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.63 % (3070782)CaDiCaL version: 2.1.3
% 22.66/3.63 % (3070782)Termination reason: Refutation not found, incomplete strategy
% 22.66/3.63 % (3070782)Time elapsed: 0.001 s
% 22.66/3.63 % (3070782)Peak memory usage: 11 MB
% 22.66/3.63 % (3070782)Instructions burned: 1 (million)
% 22.66/3.63 % (3070782)------------------------------
% 22.66/3.63 % (3070782)------------------------------
% 22.66/3.63 % (3070784)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=3410645751:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2967 on theBenchmark for (2967ds/1583Mi)
% 22.66/3.63 % (3070672) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3070351-3070672"...
% 22.66/3.63 % (3070672)...printing done.
% 22.66/3.63 % (3070672)Refutation found. Thanks to Tanya!
% 22.66/3.63 % SZS status Unsatisfiable for theBenchmark
% 22.66/3.63 % SZS output start Proof for theBenchmark
% See solution above
% 22.66/3.66 % (3070672)------------------------------
% 22.66/3.66 % (3070672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.66 % (3070672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.66 % (3070672)CaDiCaL version: 2.1.3
% 22.66/3.66 % (3070672)Termination reason: Refutation
% 22.66/3.66 % (3070672)Time elapsed: 1.542 s
% 22.66/3.66 % (3070672)Peak memory usage: 24 MB
% 22.66/3.66 % (3070672)Instructions burned: 5841 (million)
% 22.66/3.66 % (3070351)Success in time 3.381 s
% 22.66/3.66 % Vampire exiting
%------------------------------------------------------------------------------