%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA163^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 08:01:44 AM UTC 2026
% Result : Unsatisfiable 31.05s 6.50s
% Output : Refutation 31.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 137
% Syntax : Number of formulae : 1917 ( 37 unt; 0 typ; 130 def)
% Number of atoms : 16294 (3345 equ; 0 cnn)
% Maximal formula atoms : 13 ( 8 avg)
% Number of connectives : 21653 (4365 ~;5642 |; 0 &;11516 @)
% ( 130 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 138 ( 135 usr; 133 con; 0-2 aty)
% Number of variables : 901 ( 0 sgn 901 !; 0 ?; 901 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
r: $i > $i > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(f1,axiom,
! [X0: $i] :
( ( s @ X0 )
!= z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( r @ X0 @ X1 )
| ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X1: $i,X0: $i,X2: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X2: $i,X1: $i,X3: $i,X0: $i] :
( ~ ( b @ X1 @ X2 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( r @ X0 @ X1 )
| ( b @ X0 @ X1 ) ),
inference(rectify,[],[f5]) ).
thf(f9,plain,
! [X1: $i,X0: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( b @ X1 @ X0 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X3 @ X0 )
| ~ ( b @ X3 @ X1 ) ),
inference(rectify,[],[f7]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f13,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f15,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r @ X0 @ X2 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X1 @ X0 ) ),
inference(rectify,[],[f6]) ).
thf(f17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f19,plain,
! [X2: $i,X1: $i,X3: $i,X0: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) ) ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f13]) ).
thf(f21,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f15]) ).
thf(f22,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(flattening,[],[f17]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X2 @ X1 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f24,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ X0 )
= $true ) ),
inference(rectify,[],[f9]) ).
thf(f25,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f26,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f21]) ).
thf(f27,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f28,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f29,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f30,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f31,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f34,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f28,f29]) ).
thf(f35,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(extensionality_resolution,[],[f28,f29]) ).
thf(f36,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f28,f27]) ).
thf(f39,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( X0 = X1 )
| ( ( b @ X2 @ X0 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f25,f28]) ).
thf(f40,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f39]) ).
thf(f41,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(constrained_superposition,[],[f25,f34]) ).
thf(f42,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f41]) ).
thf(f50,definition,
( spl0_1
<=> ! [X2: $i] :
( $true
!= ( b @ z @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f51,plain,
( ! [X2: $i] :
( $true
!= ( b @ z @ X2 ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f50]) ).
thf(f53,definition,
( spl0_2
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f54,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
thf(f56,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f28]) ).
thf(f58,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( s @ X1 )
= X0 )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f56]) ).
thf(f60,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(extensionality_resolution,[],[f36,f29]) ).
thf(f61,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f36,f29]) ).
thf(f62,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( X0 = X1 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f36,f27]) ).
thf(f72,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f25,f60]) ).
thf(f73,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f72]) ).
thf(f77,definition,
( spl0_3
<=> ! [X2: $i] :
( $true
!= ( b @ ( s @ z ) @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f78,plain,
( ! [X2: $i] :
( $true
!= ( b @ ( s @ z ) @ X2 ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f77]) ).
thf(f80,definition,
( spl0_4
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f81,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f80]) ).
thf(f82,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f73,f80,f77]) ).
thf(f84,definition,
( spl0_5
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f85,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f84]) ).
thf(f87,definition,
( spl0_6
<=> ( $true
= ( r @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f88,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f87]) ).
thf(f90,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f78,f35]) ).
thf(f94,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f90]) ).
thf(f96,plain,
( spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f94,f77,f87]) ).
thf(f109,definition,
( spl0_7
<=> ( ( b @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f110,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_7 ),
inference(avatar_component_clause,[],[f109]) ).
thf(f112,definition,
( spl0_8
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f113,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f112]) ).
thf(f115,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_7 ),
inference(constrained_superposition,[],[f110,f34]) ).
thf(f117,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_7 ),
inference(trivial_inequality_removal,[],[f115]) ).
thf(f120,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| spl0_7 ),
inference(constrained_superposition,[],[f31,f117]) ).
thf(f121,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ z @ X0 )
!= $true ) )
| spl0_7 ),
inference(trivial_inequality_removal,[],[f120]) ).
thf(f131,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f31,f61]) ).
thf(f132,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f131]) ).
thf(f136,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ X1 )
= X0 )
| ( $true != $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f58,f28]) ).
thf(f138,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( z = X0 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f136]) ).
thf(f142,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X2 ) ) )
| ( ( r @ ( s @ X2 ) @ z )
= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(extensionality_resolution,[],[f40,f29]) ).
thf(f144,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ X3 @ X0 ) )
| ( X0 = X1 )
| ( ( b @ X2 @ X3 )
!= $true )
| ( X0 = X3 )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X2 @ X0 )
!= $true ) ),
inference(constrained_superposition,[],[f40,f28]) ).
thf(f145,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( z = X2 )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ X2 @ z ) ) ),
inference(constrained_superposition,[],[f40,f34]) ).
thf(f150,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ X2 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z = X2 ) ),
inference(trivial_inequality_removal,[],[f145]) ).
thf(f151,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true
= ( r @ X3 @ X0 ) )
| ( X0 = X3 )
| ( X0 = X1 )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f144]) ).
thf(f155,definition,
( spl0_9
<=> ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f156,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f155]) ).
thf(f158,definition,
( spl0_10
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( z = X2 )
| ( $true
= ( r @ X2 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f159,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( z = X2 )
| ( $true
= ( r @ X2 @ z ) ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f158]) ).
thf(f160,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f150,f158,f155]) ).
thf(f164,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f31,f156]) ).
thf(f165,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f164]) ).
thf(f170,definition,
( spl0_11
<=> ! [X0: $i] :
( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f171,plain,
( ! [X0: $i] :
( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f170]) ).
thf(f172,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_6 ),
inference(avatar_component_clause,[],[f87]) ).
thf(f178,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f165,f61]) ).
thf(f180,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f178]) ).
thf(f184,plain,
( ! [X0: $i] :
( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f180,f156]) ).
thf(f185,plain,
( spl0_11
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f184,f155,f170]) ).
thf(f186,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X1 @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( z = X1 ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f159,f28]) ).
thf(f187,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f159,f35]) ).
thf(f188,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f186]) ).
thf(f189,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X1 ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f187]) ).
thf(f190,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f188,f28]) ).
thf(f191,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= z )
| ( z
= ( s @ X1 ) )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f188,f36]) ).
thf(f193,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 )
| ( ( s @ X0 )
= z ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f191]) ).
thf(f195,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( r @ X1 @ z )
= $true )
| ( X0 = X1 )
| ( z = X0 ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f190]) ).
thf(f196,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z
= ( s @ X1 ) ) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f193,f29]) ).
thf(f197,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f196,f29]) ).
thf(f198,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( $true
= ( r @ X2 @ z ) )
| ( z = X2 )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( X0 = X2 )
| ( ( r @ X0 @ X2 )
= $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f31,f195]) ).
thf(f205,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( z = X2 )
| ( ( r @ X0 @ X2 )
= $true )
| ( X0 = X2 )
| ( z = X0 )
| ( $true
= ( r @ X2 @ z ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f198]) ).
thf(f213,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f189,f28]) ).
thf(f216,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( r @ X1 @ z )
= $true )
| ( ( s @ X0 )
= X1 )
| ( z = X1 ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f213]) ).
thf(f224,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_2
| spl0_6 ),
inference(constrained_superposition,[],[f172,f138]) ).
thf(f230,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_2
| spl0_6 ),
inference(trivial_inequality_removal,[],[f224]) ).
thf(f235,definition,
( spl0_13
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X1 )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f236,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f235]) ).
thf(f238,plain,
( spl0_13
| ~ spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f230,f87,f53,f235]) ).
thf(f262,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( X1 = X2 )
| ( $true != $true )
| ( X2 = X3 )
| ( ( b @ X0 @ X2 )
!= $true )
| ( X0 = X1 )
| ( $true
= ( r @ X2 @ X3 ) )
| ( ( r @ X1 @ X2 )
= $true ) ),
inference(constrained_superposition,[],[f151,f28]) ).
thf(f264,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( z = X1 )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X1 )
= $true )
| ( ( r @ X1 @ X2 )
= $true )
| ( X1 = X2 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(constrained_superposition,[],[f151,f35]) ).
thf(f268,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
= $true )
| ( X1 = X2 )
| ( z = X1 )
| ( ( r @ z @ X1 )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f264]) ).
thf(f270,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( $true
= ( r @ X2 @ X3 ) )
| ( X2 = X3 )
| ( ( r @ X0 @ X1 )
= $true )
| ( X1 = X2 )
| ( X0 = X1 )
| ( ( r @ X1 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f262]) ).
thf(f284,definition,
( spl0_15
<=> ( ( b @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f285,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_15 ),
inference(avatar_component_clause,[],[f284]) ).
thf(f288,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| spl0_15 ),
inference(constrained_superposition,[],[f285,f35]) ).
thf(f290,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_15 ),
inference(trivial_inequality_removal,[],[f288]) ).
thf(f312,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f62,f29]) ).
thf(f313,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f62,f29]) ).
thf(f335,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X0 = X3 )
| ( $true != $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X3 )
= $true )
| ( ( r @ X3 @ X1 )
= $true )
| ( ( r @ X1 @ X2 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X1 = X3 )
| ( X1 = X2 ) ),
inference(constrained_superposition,[],[f270,f28]) ).
thf(f341,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X3 @ X1 )
= $true )
| ( X1 = X3 )
| ( ( r @ X0 @ X3 )
= $true )
| ( ( r @ X1 @ X2 )
= $true )
| ( X1 = X2 )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( X0 = X3 ) ),
inference(trivial_inequality_removal,[],[f335]) ).
thf(f348,definition,
( spl0_16
<=> ! [X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f349,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X1 ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f348]) ).
thf(f400,plain,
( spl0_6
| spl0_15 ),
inference(avatar_split_clause,[],[f290,f284,f87]) ).
thf(f401,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f142,f53,f50]) ).
thf(f402,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f51,f34]) ).
thf(f405,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f402]) ).
thf(f406,plain,
( spl0_9
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f405,f50,f155]) ).
thf(f408,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f31,f88]) ).
thf(f409,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f408]) ).
thf(f410,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f409,f61]) ).
thf(f416,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f410]) ).
thf(f424,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f28]) ).
thf(f431,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( s @ X1 )
= X0 )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f424]) ).
thf(f442,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( $true != $true )
| ( ( s @ X1 )
= X0 )
| ( ( r @ ( s @ X1 ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f431,f28]) ).
thf(f443,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f431,f35]) ).
thf(f444,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ X1 )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f442]) ).
thf(f445,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f443]) ).
thf(f464,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X1 @ z )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( z = X0 )
| ( z = X1 )
| ( $true != $true ) )
| ~ spl0_6
| ~ spl0_10 ),
inference(constrained_superposition,[],[f205,f88]) ).
thf(f468,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X1 @ z )
= $true )
| ( X0 = X1 )
| ( z = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( z = X0 ) )
| ~ spl0_6
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f464]) ).
thf(f507,definition,
( spl0_24
<=> ! [X4: $i] :
( ( ( r @ z @ X4 )
= $true )
| ( z = X4 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f508,plain,
( ! [X4: $i] :
( ( ( r @ z @ X4 )
= $true )
| ( z = X4 ) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f507]) ).
thf(f529,plain,
! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(constrained_superposition,[],[f268,f312]) ).
thf(f538,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f25,f312]) ).
thf(f540,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X1 ) ),
inference(trivial_inequality_removal,[],[f529]) ).
thf(f545,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f538]) ).
thf(f550,definition,
( spl0_27
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
thf(f551,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f550]) ).
thf(f553,definition,
( spl0_28
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f554,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f553]) ).
thf(f556,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(forward_subsumption_resolution,[],[f540,f29]) ).
thf(f563,definition,
( spl0_30
<=> ! [X1: $i] :
( ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f564,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f563]) ).
thf(f567,definition,
( spl0_31
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
thf(f568,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f567]) ).
thf(f570,definition,
( spl0_32
<=> ! [X2: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f571,plain,
( ! [X2: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f570]) ).
thf(f572,plain,
( spl0_31
| spl0_32 ),
inference(avatar_split_clause,[],[f545,f570,f567]) ).
thf(f574,definition,
( spl0_33
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
thf(f575,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f574]) ).
thf(f577,definition,
( spl0_34
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
thf(f578,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f577]) ).
thf(f581,definition,
( spl0_35
<=> ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f582,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f581]) ).
thf(f584,definition,
( spl0_36
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f585,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f584]) ).
thf(f586,plain,
( spl0_30
| spl0_35
| spl0_36 ),
inference(avatar_split_clause,[],[f556,f584,f581,f563]) ).
thf(f592,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f78,f28]) ).
thf(f595,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f592]) ).
thf(f596,plain,
( spl0_16
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f595,f77,f348]) ).
thf(f597,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_34 ),
inference(constrained_superposition,[],[f578,f35]) ).
thf(f600,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f597]) ).
thf(f602,plain,
( spl0_36
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f600,f577,f584]) ).
thf(f603,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f551,f60]) ).
thf(f607,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f603]) ).
thf(f629,definition,
( spl0_37
<=> ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
thf(f630,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_37 ),
inference(avatar_component_clause,[],[f629]) ).
thf(f632,definition,
( spl0_38
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f633,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f632]) ).
thf(f635,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_37 ),
inference(constrained_superposition,[],[f630,f34]) ).
thf(f637,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_37 ),
inference(trivial_inequality_removal,[],[f635]) ).
thf(f639,plain,
( spl0_35
| spl0_37 ),
inference(avatar_split_clause,[],[f637,f629,f581]) ).
thf(f643,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f132,f582]) ).
thf(f644,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f31,f582]) ).
thf(f645,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f644]) ).
thf(f647,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f643]) ).
thf(f650,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_6
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f647,f88]) ).
thf(f652,definition,
( spl0_39
<=> ( ( s @ z )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
thf(f653,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f652]) ).
thf(f661,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f60,f653]) ).
thf(f701,definition,
( spl0_41
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f702,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f701]) ).
thf(f704,definition,
( spl0_42
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
thf(f705,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_42 ),
inference(avatar_component_clause,[],[f704]) ).
thf(f714,definition,
( spl0_43
<=> ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
thf(f715,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_43 ),
inference(avatar_component_clause,[],[f714]) ).
thf(f717,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f661,f26]) ).
thf(f724,plain,
( $false
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f717,f30]) ).
thf(f725,plain,
~ spl0_39,
inference(avatar_contradiction_clause,[],[f724]) ).
thf(f734,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_6
| ~ spl0_35 ),
inference(constrained_superposition,[],[f40,f650]) ).
thf(f735,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_35 ),
inference(constrained_superposition,[],[f25,f650]) ).
thf(f742,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_6
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f735]) ).
thf(f743,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X1 )
| ( ( r @ X1 @ ( s @ z ) )
= $true ) )
| ~ spl0_6
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f734]) ).
thf(f747,definition,
( spl0_44
<=> ! [X1: $i] :
( ( ( s @ z )
= X1 )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
thf(f748,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f747]) ).
thf(f751,definition,
( spl0_45
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
thf(f752,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f751]) ).
thf(f753,plain,
( spl0_32
| spl0_45
| ~ spl0_6
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f742,f581,f87,f751,f570]) ).
thf(f801,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_6
| ~ spl0_35 ),
inference(constrained_superposition,[],[f743,f28]) ).
thf(f805,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X1 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_6
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f801]) ).
thf(f811,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_44 ),
inference(constrained_superposition,[],[f31,f748]) ).
thf(f814,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f811]) ).
thf(f880,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( X0 = X1 )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
= $true ) )
| ~ spl0_6
| ~ spl0_35 ),
inference(constrained_superposition,[],[f805,f28]) ).
thf(f888,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X1 )
| ( X0 = X1 )
| ( ( r @ X1 @ ( s @ z ) )
= $true ) )
| ~ spl0_6
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f880]) ).
thf(f897,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_27
| ~ spl0_35 ),
inference(constrained_superposition,[],[f645,f607]) ).
thf(f900,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_27
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f897]) ).
thf(f904,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| spl0_7
| ~ spl0_27
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f900,f121]) ).
thf(f1001,definition,
( spl0_49
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
thf(f1002,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_49 ),
inference(avatar_component_clause,[],[f1001]) ).
thf(f1007,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_49 ),
inference(constrained_superposition,[],[f1002,f61]) ).
thf(f1012,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_49 ),
inference(trivial_inequality_removal,[],[f1007]) ).
thf(f1022,definition,
( spl0_51
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
thf(f1023,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f1022]) ).
thf(f1068,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(constrained_superposition,[],[f42,f313]) ).
thf(f1072,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f25,f313]) ).
thf(f1073,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= X2 )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f40,f313]) ).
thf(f1083,plain,
! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1068]) ).
thf(f1086,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X2 )
| ( $true
= ( r @ X2 @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f1073]) ).
thf(f1087,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f1072]) ).
thf(f1093,definition,
( spl0_52
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
thf(f1094,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f1093]) ).
thf(f1103,definition,
( spl0_54
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f1104,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f1103]) ).
thf(f1106,definition,
( spl0_55
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X2 )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
thf(f1107,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( s @ ( s @ z ) )
= X2 )
| ( $true
= ( r @ X2 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f1106]) ).
thf(f1108,plain,
( spl0_54
| spl0_55 ),
inference(avatar_split_clause,[],[f1086,f1106,f1103]) ).
thf(f1113,definition,
( spl0_57
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
thf(f1114,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_57 ),
inference(avatar_component_clause,[],[f1113]) ).
thf(f1132,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| spl0_43 ),
inference(constrained_superposition,[],[f715,f35]) ).
thf(f1134,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_43 ),
inference(trivial_inequality_removal,[],[f1132]) ).
thf(f1136,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_57 ),
inference(constrained_superposition,[],[f1114,f60]) ).
thf(f1138,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_57 ),
inference(constrained_superposition,[],[f1114,f28]) ).
thf(f1139,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_57 ),
inference(trivial_inequality_removal,[],[f1136]) ).
thf(f1140,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_57 ),
inference(trivial_inequality_removal,[],[f1138]) ).
thf(f1142,plain,
( spl0_28
| spl0_57 ),
inference(avatar_split_clause,[],[f1139,f1113,f553]) ).
thf(f1143,plain,
( spl0_28
| spl0_39
| spl0_57 ),
inference(avatar_split_clause,[],[f1140,f1113,f652,f553]) ).
thf(f1402,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_28 ),
inference(avatar_component_clause,[],[f553]) ).
thf(f1628,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= ( s @ ( s @ X1 ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X1 ) ) )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f132,f445]) ).
thf(f1634,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ X1 ) ) )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f1628]) ).
thf(f1653,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1634,f416]) ).
thf(f1656,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ X1 ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X1 ) ) )
= $true ) )
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f1653,f409]) ).
thf(f1670,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true ) )
| ~ spl0_6
| ~ spl0_35
| ~ spl0_55 ),
inference(constrained_superposition,[],[f1107,f650]) ).
thf(f1675,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_6
| ~ spl0_35
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f1670]) ).
thf(f1678,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_6
| ~ spl0_35
| ~ spl0_55 ),
inference(constrained_superposition,[],[f1675,f36]) ).
thf(f1682,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_6
| ~ spl0_35
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f1678]) ).
thf(f1688,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_6
| ~ spl0_35
| ~ spl0_55 ),
inference(constrained_superposition,[],[f645,f1682]) ).
thf(f1693,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_6
| ~ spl0_35
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f1688]) ).
thf(f1811,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_28
| ~ spl0_30 ),
inference(constrained_superposition,[],[f1402,f564]) ).
thf(f1823,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_28
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f1811]) ).
thf(f1839,plain,
( spl0_39
| spl0_28
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1823,f563,f553,f652]) ).
thf(f2099,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_35
| ~ spl0_44 ),
inference(constrained_superposition,[],[f814,f582]) ).
thf(f2116,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_35
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f2099]) ).
thf(f2133,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_6
| ~ spl0_35
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f2116,f409]) ).
thf(f2142,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X1 )
| ( z = X2 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( r @ X1 @ z )
= $true )
| ( z = X0 )
| ( $true
= ( r @ z @ X2 ) )
| ( X0 = X1 ) )
| ~ spl0_6
| ~ spl0_35
| ~ spl0_44 ),
inference(constrained_superposition,[],[f2133,f341]) ).
thf(f2146,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( ( r @ X1 @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X2 )
| ( $true
= ( r @ z @ X2 ) )
| ( z = X0 )
| ( z = X1 ) )
| ~ spl0_6
| ~ spl0_35
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f2142]) ).
thf(f2149,definition,
( spl0_68
<=> ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( z = X1 )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X1 @ X0 )
= $true )
| ( ( r @ X1 @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
thf(f2150,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
= $true )
| ( ( r @ X1 @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( X0 = X1 )
| ( z = X1 ) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f2149]) ).
thf(f2151,plain,
( spl0_24
| spl0_68
| ~ spl0_6
| ~ spl0_35
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f2146,f747,f581,f87,f2149,f507]) ).
thf(f2156,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( X0 = X2 )
| ( ( r @ X1 @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= X2 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( s @ z )
= X2 )
| ( z = X2 )
| ( ( r @ X0 @ X2 )
= $true )
| ( z = X0 ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f31,f2150]) ).
thf(f2179,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( s @ z )
= X2 )
| ( z = X2 )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X2 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( X0 = X2 )
| ( ( r @ X0 @ X2 )
= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f2156]) ).
thf(f2284,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( z = X1 )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( r @ X1 @ X0 )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_6
| ~ spl0_68 ),
inference(constrained_superposition,[],[f2179,f88]) ).
thf(f2295,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( s @ z )
= X0 )
| ( z = X1 ) )
| ~ spl0_6
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f2284]) ).
thf(f2903,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f571,f313]) ).
thf(f2914,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f2903]) ).
thf(f2918,plain,
( spl0_54
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f2914,f570,f1103]) ).
thf(f2919,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f752,f28]) ).
thf(f2920,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f752,f34]) ).
thf(f2921,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f752,f36]) ).
thf(f2922,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f752,f62]) ).
thf(f2923,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f752,f312]) ).
thf(f2927,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f2922]) ).
thf(f2928,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f2921]) ).
thf(f2929,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f2919]) ).
thf(f2930,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f2923]) ).
thf(f2931,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f2920]) ).
thf(f2933,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| spl0_7
| ~ spl0_24
| ~ spl0_27
| ~ spl0_35 ),
inference(constrained_superposition,[],[f904,f508]) ).
thf(f2942,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f132,f508]) ).
thf(f2950,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f2942]) ).
thf(f2954,plain,
( ! [X0: $i] :
( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| spl0_7
| ~ spl0_24
| ~ spl0_27
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f2933]) ).
thf(f2961,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_6
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f2950,f88]) ).
thf(f2963,plain,
( $false
| spl0_7
| ~ spl0_24
| ~ spl0_27
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f2954,f29]) ).
thf(f2964,plain,
( spl0_7
| ~ spl0_24
| ~ spl0_27
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f2963]) ).
thf(f2967,plain,
( ! [X0: $i] :
( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_6
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f2961,f29]) ).
thf(f2969,plain,
( spl0_11
| ~ spl0_6
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f2967,f507,f87,f170]) ).
thf(f2971,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f2929,f34]) ).
thf(f2972,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f2929,f36]) ).
thf(f2974,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f2971]) ).
thf(f2976,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f2972]) ).
thf(f2978,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f2928,f36]) ).
thf(f2981,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f2978]) ).
thf(f2997,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f31,f2981]) ).
thf(f3004,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( z = X0 ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f2997]) ).
thf(f3091,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f2927,f60]) ).
thf(f3095,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f3091]) ).
thf(f4066,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_35
| ~ spl0_45 ),
inference(constrained_superposition,[],[f3004,f582]) ).
thf(f4100,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_35
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f4066]) ).
thf(f4105,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ z )
= X1 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 )
| ( $true != $true )
| ( ( s @ X0 )
= X1 )
| ( z = X0 )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_35
| ~ spl0_45
| ~ spl0_68 ),
inference(constrained_superposition,[],[f4100,f2150]) ).
thf(f4107,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( ( r @ X1 @ z )
= $true )
| ( z = X0 )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ X0 )
= X1 ) )
| ~ spl0_10
| ~ spl0_35
| ~ spl0_45 ),
inference(constrained_superposition,[],[f4100,f195]) ).
thf(f4112,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= z )
| ( z = X0 )
| ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ X0 )
= X1 )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) ) )
| ~ spl0_10
| ~ spl0_35
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f4107]) ).
thf(f4113,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= X1 )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( s @ z )
= X0 )
| ( z = X1 )
| ( ( s @ z )
= X1 ) )
| ~ spl0_35
| ~ spl0_45
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f4105]) ).
thf(f4118,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( s @ X0 )
= X1 )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( r @ X1 @ z )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_35
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f4112,f468]) ).
thf(f4869,plain,
( ( ( s @ z )
!= ( s @ ( s @ z ) ) )
| spl0_39 ),
inference(avatar_component_clause,[],[f652]) ).
thf(f4904,definition,
( spl0_77
<=> ! [X1: $i] :
( ( ( r @ X1 @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
thf(f4905,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f4904]) ).
thf(f4935,definition,
( spl0_83
<=> ! [X1: $i] :
( ( z = X1 )
| ( ( s @ z )
= X1 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
thf(f4936,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( s @ z )
= X1 )
| ( z = X1 )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f4935]) ).
thf(f5038,definition,
( spl0_94
<=> ( $true
= ( r @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
thf(f5039,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f5038]) ).
thf(f5052,definition,
( spl0_95
<=> ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
thf(f5053,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f5052]) ).
thf(f5065,definition,
( spl0_97
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
thf(f5066,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f5065]) ).
thf(f5076,definition,
( spl0_99
<=> ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
thf(f5077,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f5076]) ).
thf(f5093,definition,
( spl0_103
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
thf(f5094,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f5093]) ).
thf(f5101,definition,
( spl0_105
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
thf(f5102,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f5101]) ).
thf(f5106,definition,
( spl0_106
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
thf(f5107,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f5106]) ).
thf(f5114,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ X0 )
= z )
| ( z = X1 )
| ( z = X0 )
| ( ( s @ X0 )
= X1 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( s @ z )
= X1 ) )
| ~ spl0_6
| ~ spl0_35
| ~ spl0_45
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f4113,f2295]) ).
thf(f5139,plain,
( spl0_33
| spl0_43 ),
inference(avatar_split_clause,[],[f1134,f714,f574]) ).
thf(f5141,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( s @ X0 )
= X1 ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_35
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f4118,f29]) ).
thf(f5147,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ z )
= X0 )
| ( ( s @ X0 )
= X1 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( s @ z )
= X1 )
| ( z = X0 )
| ( z = X1 ) )
| ~ spl0_6
| ~ spl0_35
| ~ spl0_45
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f5114,f29]) ).
thf(f5165,plain,
( spl0_27
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f2930,f751,f550]) ).
thf(f5168,definition,
( spl0_116
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
thf(f5169,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f5168]) ).
thf(f5177,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_39 ),
inference(extensionality_resolution,[],[f40,f4869]) ).
thf(f5184,definition,
( spl0_117
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
thf(f5185,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f5184]) ).
thf(f5187,definition,
( spl0_118
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
thf(f5188,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f5187]) ).
thf(f5191,definition,
( spl0_119
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
thf(f5192,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f5191]) ).
thf(f5194,definition,
( spl0_120
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
thf(f5195,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f5194]) ).
thf(f5199,definition,
( spl0_121
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
thf(f5200,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f5199]) ).
thf(f5202,definition,
( spl0_122
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
thf(f5203,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f5202]) ).
thf(f5206,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_94 ),
inference(constrained_superposition,[],[f31,f5039]) ).
thf(f5207,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f5206]) ).
thf(f5227,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_35
| ~ spl0_45
| ~ spl0_119 ),
inference(constrained_superposition,[],[f4100,f5192]) ).
thf(f5231,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_35
| ~ spl0_45
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f5227]) ).
thf(f5236,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_35
| ~ spl0_45
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f5231,f29]) ).
thf(f5237,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_35
| spl0_39
| ~ spl0_45
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f5236,f4869]) ).
thf(f5238,plain,
( spl0_41
| ~ spl0_35
| spl0_39
| ~ spl0_45
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f5237,f5191,f751,f652,f581,f701]) ).
thf(f5241,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_28
| ~ spl0_94 ),
inference(constrained_superposition,[],[f5207,f554]) ).
thf(f5247,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_28
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f5241]) ).
thf(f5251,plain,
( $false
| ~ spl0_28
| ~ spl0_35
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[],[f5247,f582]) ).
thf(f5252,plain,
( ~ spl0_28
| ~ spl0_35
| ~ spl0_94 ),
inference(avatar_contradiction_clause,[],[f5251]) ).
thf(f5253,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_6
| spl0_28
| ~ spl0_35 ),
inference(constrained_superposition,[],[f1402,f888]) ).
thf(f5257,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_6
| spl0_28
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f5253]) ).
thf(f5261,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_6
| spl0_28
| ~ spl0_35
| spl0_39 ),
inference(forward_subsumption_resolution,[],[f5257,f4869]) ).
thf(f5262,plain,
( spl0_51
| ~ spl0_6
| spl0_28
| ~ spl0_35
| spl0_39 ),
inference(avatar_split_clause,[],[f5261,f652,f581,f553,f87,f1022]) ).
thf(f5268,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_118 ),
inference(constrained_superposition,[],[f268,f5188]) ).
thf(f5282,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f5268]) ).
thf(f5296,definition,
( spl0_123
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
thf(f5297,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_123 ),
inference(avatar_component_clause,[],[f5296]) ).
thf(f5299,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f5282,f29]) ).
thf(f5301,definition,
( spl0_124
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
thf(f5302,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f5301]) ).
thf(f5308,definition,
( spl0_126
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
thf(f5309,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f5308]) ).
thf(f5311,definition,
( spl0_127
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
thf(f5312,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f5311]) ).
thf(f5314,definition,
( spl0_128
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
thf(f5315,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f5314]) ).
thf(f5318,definition,
( spl0_129
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
thf(f5319,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_129 ),
inference(avatar_component_clause,[],[f5318]) ).
thf(f5325,definition,
( spl0_131
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
thf(f5326,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f5325]) ).
thf(f5331,definition,
( spl0_132
<=> ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
thf(f5332,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f5331]) ).
thf(f5334,definition,
( spl0_133
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
thf(f5335,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f5334]) ).
thf(f5338,definition,
( spl0_134
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
thf(f5339,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f5338]) ).
thf(f5341,definition,
( spl0_135
<=> ! [X1: $i] :
( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
thf(f5342,plain,
( ! [X1: $i] :
( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f5341]) ).
thf(f5346,definition,
( spl0_136
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
thf(f5347,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f5346]) ).
thf(f5349,definition,
( spl0_137
<=> ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
thf(f5350,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f5349]) ).
thf(f5351,plain,
( spl0_124
| spl0_136
| spl0_137
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f5299,f5187,f5349,f5346,f5301]) ).
thf(f5366,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_126 ),
inference(constrained_superposition,[],[f60,f5309]) ).
thf(f5453,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f5366,f26]) ).
thf(f5477,plain,
( $false
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f5453,f30]) ).
thf(f5478,plain,
~ spl0_126,
inference(avatar_contradiction_clause,[],[f5477]) ).
thf(f5506,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_135 ),
inference(constrained_superposition,[],[f5342,f312]) ).
thf(f5507,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_135 ),
inference(constrained_superposition,[],[f5342,f60]) ).
thf(f5509,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_135 ),
inference(constrained_superposition,[],[f5342,f35]) ).
thf(f5511,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true ) )
| ~ spl0_135 ),
inference(constrained_superposition,[],[f5342,f28]) ).
thf(f5513,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f5507]) ).
thf(f5515,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true ) )
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f5511]) ).
thf(f5516,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f5509]) ).
thf(f5517,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f5506]) ).
thf(f5518,plain,
( spl0_41
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f5513,f5341,f701]) ).
thf(f5519,plain,
( spl0_124
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f5515,f5341,f5301]) ).
thf(f5520,plain,
( spl0_119
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f5516,f5341,f5191]) ).
thf(f5521,plain,
( spl0_131
| ~ spl0_135 ),
inference(avatar_split_clause,[],[f5517,f5341,f5325]) ).
thf(f5522,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_123 ),
inference(constrained_superposition,[],[f5297,f35]) ).
thf(f5524,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_123 ),
inference(trivial_inequality_removal,[],[f5522]) ).
thf(f5526,plain,
( spl0_136
| spl0_123 ),
inference(avatar_split_clause,[],[f5524,f5296,f5346]) ).
thf(f5529,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_6
| ~ spl0_35
| ~ spl0_55
| ~ spl0_133 ),
inference(constrained_superposition,[],[f1693,f5335]) ).
thf(f5534,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_6
| ~ spl0_35
| ~ spl0_55
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f5529]) ).
thf(f5540,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_6
| ~ spl0_35
| ~ spl0_55
| ~ spl0_133 ),
inference(forward_subsumption_resolution,[],[f5534,f29]) ).
thf(f5549,definition,
( spl0_139
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
thf(f5550,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f5549]) ).
thf(f5552,definition,
( spl0_140
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
thf(f5553,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f5552]) ).
thf(f5554,plain,
( spl0_139
| spl0_140
| ~ spl0_6
| ~ spl0_35
| ~ spl0_55
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f5540,f5334,f1106,f581,f87,f5552,f5549]) ).
thf(f5558,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_139 ),
inference(constrained_superposition,[],[f312,f5550]) ).
thf(f5647,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f5558,f30]) ).
thf(f5667,definition,
( spl0_143
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
thf(f5668,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_143 ),
inference(avatar_component_clause,[],[f5667]) ).
thf(f5670,plain,
( $false
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f5647,f26]) ).
thf(f5671,plain,
~ spl0_139,
inference(avatar_contradiction_clause,[],[f5670]) ).
thf(f5684,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_33 ),
inference(avatar_component_clause,[],[f574]) ).
thf(f5694,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 ) )
| ~ spl0_10
| spl0_33 ),
inference(constrained_superposition,[],[f5684,f216]) ).
thf(f5695,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_33
| ~ spl0_68 ),
inference(constrained_superposition,[],[f5684,f2150]) ).
thf(f5700,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z
= ( s @ ( s @ z ) ) ) )
| spl0_33
| ~ spl0_68 ),
inference(duplicate_literal_removal,[],[f5695]) ).
thf(f5701,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| spl0_33
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f5700]) ).
thf(f5702,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_10
| spl0_33 ),
inference(trivial_inequality_removal,[],[f5694]) ).
thf(f5705,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_33
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f5701,f29]) ).
thf(f5706,plain,
( spl0_77
| ~ spl0_10
| spl0_33 ),
inference(avatar_split_clause,[],[f5702,f574,f158,f4904]) ).
thf(f5709,definition,
( spl0_144
<=> ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
thf(f5710,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f5709]) ).
thf(f5712,plain,
( spl0_83
| spl0_33
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f5705,f2149,f574,f4935]) ).
thf(f5713,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_136 ),
inference(constrained_superposition,[],[f416,f5347]) ).
thf(f5714,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_35
| ~ spl0_45
| ~ spl0_136 ),
inference(constrained_superposition,[],[f4100,f5347]) ).
thf(f5717,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_136 ),
inference(constrained_superposition,[],[f31,f5347]) ).
thf(f5718,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f5717]) ).
thf(f5719,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_35
| ~ spl0_45
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f5714]) ).
thf(f5720,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_6
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f5713]) ).
thf(f5723,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_35
| ~ spl0_45
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f5719,f29]) ).
thf(f5724,plain,
( spl0_127
| spl0_126
| ~ spl0_35
| ~ spl0_45
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f5723,f5346,f751,f581,f5308,f5311]) ).
thf(f5729,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_127 ),
inference(constrained_superposition,[],[f31,f5312]) ).
thf(f5732,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f5729]) ).
thf(f5747,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_129 ),
inference(constrained_superposition,[],[f5319,f60]) ).
thf(f5749,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_129 ),
inference(constrained_superposition,[],[f5319,f28]) ).
thf(f5751,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_129 ),
inference(trivial_inequality_removal,[],[f5747]) ).
thf(f5752,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_129 ),
inference(trivial_inequality_removal,[],[f5749]) ).
thf(f5759,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_6
| ~ spl0_31
| ~ spl0_136 ),
inference(constrained_superposition,[],[f568,f5720]) ).
thf(f5767,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_6
| ~ spl0_31
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f5759]) ).
thf(f5781,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_6
| ~ spl0_31
| ~ spl0_35
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f5767,f650]) ).
thf(f5783,definition,
( spl0_147
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
thf(f5784,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f5783]) ).
thf(f5788,definition,
( spl0_148
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
thf(f5789,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f5788]) ).
thf(f5796,definition,
( spl0_150
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
thf(f5797,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f5796]) ).
thf(f5799,definition,
( spl0_151
<=> ! [X1: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
thf(f5800,plain,
( ! [X1: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f5799]) ).
thf(f5802,plain,
( spl0_147
| ~ spl0_6
| ~ spl0_31
| ~ spl0_35
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f5781,f5346,f581,f567,f87,f5783]) ).
thf(f5810,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_94
| ~ spl0_124 ),
inference(constrained_superposition,[],[f5207,f5302]) ).
thf(f5828,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_94
| ~ spl0_124 ),
inference(trivial_inequality_removal,[],[f5810]) ).
thf(f5832,definition,
( spl0_152
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
thf(f5833,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f5832]) ).
thf(f5835,definition,
( spl0_153
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
thf(f5836,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f5835]) ).
thf(f5838,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_137 ),
inference(avatar_component_clause,[],[f5349]) ).
thf(f5850,plain,
( ~ spl0_137
| spl0_126
| ~ spl0_94
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f5828,f5301,f5038,f5308,f5349]) ).
thf(f5855,plain,
( ( $true != $true )
| ~ spl0_118
| ~ spl0_151 ),
inference(constrained_superposition,[],[f5800,f5188]) ).
thf(f5856,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_151 ),
inference(constrained_superposition,[],[f5800,f312]) ).
thf(f5863,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f5856]) ).
thf(f5868,plain,
( $false
| ~ spl0_118
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f5855]) ).
thf(f5869,plain,
( ~ spl0_118
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[],[f5868]) ).
thf(f5870,plain,
( spl0_147
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f5863,f5799,f5783]) ).
thf(f5958,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_122
| ~ spl0_132 ),
inference(constrained_superposition,[],[f5332,f5203]) ).
thf(f5969,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_122
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f5958]) ).
thf(f5970,plain,
( ~ spl0_42
| ~ spl0_122
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f5969,f5331,f5202,f704]) ).
thf(f5971,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| spl0_42 ),
inference(constrained_superposition,[],[f705,f35]) ).
thf(f5973,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_42 ),
inference(trivial_inequality_removal,[],[f5971]) ).
thf(f5975,plain,
( spl0_119
| spl0_42 ),
inference(avatar_split_clause,[],[f5973,f704,f5191]) ).
thf(f5979,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_117 ),
inference(constrained_superposition,[],[f31,f5185]) ).
thf(f5980,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f5979]) ).
thf(f5983,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_140 ),
inference(avatar_component_clause,[],[f5552]) ).
thf(f5985,definition,
( spl0_158
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
thf(f5986,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f5985]) ).
thf(f5988,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_140 ),
inference(constrained_superposition,[],[f5983,f61]) ).
thf(f5995,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_140 ),
inference(trivial_inequality_removal,[],[f5988]) ).
thf(f6003,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_127
| ~ spl0_136 ),
inference(constrained_superposition,[],[f5718,f5312]) ).
thf(f6032,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_127
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f6003]) ).
thf(f6036,plain,
( $false
| ~ spl0_6
| ~ spl0_127
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f6032,f88]) ).
thf(f6037,plain,
( ~ spl0_6
| ~ spl0_127
| ~ spl0_136 ),
inference(avatar_contradiction_clause,[],[f6036]) ).
thf(f6044,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_131 ),
inference(avatar_component_clause,[],[f5325]) ).
thf(f6050,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_36
| spl0_131 ),
inference(constrained_superposition,[],[f6044,f585]) ).
thf(f6054,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_45
| spl0_131 ),
inference(constrained_superposition,[],[f6044,f2976]) ).
thf(f6058,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_2
| spl0_131 ),
inference(constrained_superposition,[],[f6044,f445]) ).
thf(f6065,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_36
| spl0_131 ),
inference(trivial_inequality_removal,[],[f6050]) ).
thf(f6068,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| spl0_131 ),
inference(trivial_inequality_removal,[],[f6058]) ).
thf(f6069,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_45
| spl0_131 ),
inference(trivial_inequality_removal,[],[f6054]) ).
thf(f6079,plain,
( spl0_119
| ~ spl0_36
| spl0_131 ),
inference(avatar_split_clause,[],[f6065,f5325,f584,f5191]) ).
thf(f6082,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| spl0_33
| spl0_131 ),
inference(forward_subsumption_resolution,[],[f6068,f5684]) ).
thf(f6083,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_45
| spl0_131 ),
inference(forward_subsumption_resolution,[],[f6069,f29]) ).
thf(f6089,definition,
( spl0_161
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
thf(f6090,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f6089]) ).
thf(f6094,plain,
( spl0_152
| spl0_119
| ~ spl0_2
| spl0_33
| spl0_131 ),
inference(avatar_split_clause,[],[f6082,f5325,f574,f53,f5191,f5832]) ).
thf(f6095,plain,
( spl0_41
| spl0_152
| ~ spl0_45
| spl0_131 ),
inference(avatar_split_clause,[],[f6083,f5325,f751,f5832,f701]) ).
thf(f6098,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_119 ),
inference(constrained_superposition,[],[f416,f5192]) ).
thf(f6102,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_119 ),
inference(constrained_superposition,[],[f31,f5192]) ).
thf(f6103,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f6098]) ).
thf(f6105,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f6102]) ).
thf(f6108,plain,
( spl0_158
| ~ spl0_6
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f6103,f5191,f87,f5985]) ).
thf(f6112,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_41
| ~ spl0_94 ),
inference(constrained_superposition,[],[f5207,f702]) ).
thf(f6119,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_41
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f6112]) ).
thf(f6122,plain,
( ~ spl0_137
| ~ spl0_41
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f6119,f5038,f701,f5349]) ).
thf(f6128,definition,
( spl0_162
<=> ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
thf(f6129,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f6128]) ).
thf(f6163,definition,
( spl0_163
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
thf(f6164,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f6163]) ).
thf(f6167,definition,
( spl0_164
<=> ! [X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
thf(f6168,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ z )
= X1 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( $true
= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f6167]) ).
thf(f6176,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f571,f60]) ).
thf(f6178,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f571,f35]) ).
thf(f6181,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f6176]) ).
thf(f6183,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f6178]) ).
thf(f6187,plain,
( spl0_28
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f6181,f570,f553]) ).
thf(f6190,plain,
( spl0_33
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f6183,f570,f574]) ).
thf(f6194,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f31,f575]) ).
thf(f6198,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f6194]) ).
thf(f6213,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f312,f5833]) ).
thf(f6295,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f6213,f30]) ).
thf(f6309,plain,
( $false
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f6295,f26]) ).
thf(f6310,plain,
~ spl0_152,
inference(avatar_contradiction_clause,[],[f6309]) ).
thf(f6345,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_95 ),
inference(constrained_superposition,[],[f5053,f60]) ).
thf(f6348,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_95 ),
inference(trivial_inequality_removal,[],[f6345]) ).
thf(f6350,plain,
( spl0_5
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f6348,f5052,f84]) ).
thf(f6362,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_140 ),
inference(constrained_superposition,[],[f25,f5995]) ).
thf(f6378,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_140 ),
inference(trivial_inequality_removal,[],[f6362]) ).
thf(f6380,plain,
( spl0_151
| spl0_150
| spl0_140 ),
inference(avatar_split_clause,[],[f6378,f5552,f5796,f5799]) ).
thf(f6387,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_28
| ~ spl0_33 ),
inference(constrained_superposition,[],[f6198,f554]) ).
thf(f6389,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_33
| ~ spl0_120 ),
inference(constrained_superposition,[],[f6198,f5195]) ).
thf(f6391,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_33
| ~ spl0_54 ),
inference(constrained_superposition,[],[f6198,f1104]) ).
thf(f6394,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_33
| ~ spl0_120 ),
inference(trivial_inequality_removal,[],[f6389]) ).
thf(f6403,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_28
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f6387]) ).
thf(f6405,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_33
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f6391]) ).
thf(f6406,plain,
( $false
| ~ spl0_33
| ~ spl0_119
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[],[f6394,f5192]) ).
thf(f6407,plain,
( ~ spl0_33
| ~ spl0_119
| ~ spl0_120 ),
inference(avatar_contradiction_clause,[],[f6406]) ).
thf(f6409,plain,
( $false
| ~ spl0_6
| ~ spl0_28
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f6403,f88]) ).
thf(f6410,plain,
( ~ spl0_6
| ~ spl0_28
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f6409]) ).
thf(f6422,plain,
( ( $true != $true )
| ~ spl0_33
| ~ spl0_54
| ~ spl0_119 ),
inference(constrained_superposition,[],[f6405,f5192]) ).
thf(f6429,plain,
( $false
| ~ spl0_33
| ~ spl0_54
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f6422]) ).
thf(f6430,plain,
( ~ spl0_33
| ~ spl0_54
| ~ spl0_119 ),
inference(avatar_contradiction_clause,[],[f6429]) ).
thf(f6473,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_35
| ~ spl0_131 ),
inference(constrained_superposition,[],[f645,f5326]) ).
thf(f6475,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_45
| ~ spl0_131 ),
inference(constrained_superposition,[],[f3004,f5326]) ).
thf(f6477,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f31,f5326]) ).
thf(f6479,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_35
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f6473]) ).
thf(f6480,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f6477]) ).
thf(f6482,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_45
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f6475]) ).
thf(f6484,plain,
( spl0_153
| ~ spl0_45
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f6482,f5325,f751,f5835]) ).
thf(f6491,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_41
| ~ spl0_119 ),
inference(constrained_superposition,[],[f6105,f702]) ).
thf(f6493,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_119
| ~ spl0_131 ),
inference(constrained_superposition,[],[f6105,f5326]) ).
thf(f6506,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_41
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f6491]) ).
thf(f6508,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_119
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f6493]) ).
thf(f6517,plain,
( $false
| ~ spl0_6
| ~ spl0_41
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f6506,f88]) ).
thf(f6518,plain,
( ~ spl0_6
| ~ spl0_41
| ~ spl0_119 ),
inference(avatar_contradiction_clause,[],[f6517]) ).
thf(f6519,plain,
( $false
| ~ spl0_33
| ~ spl0_119
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f6508,f575]) ).
thf(f6520,plain,
( ~ spl0_33
| ~ spl0_119
| ~ spl0_131 ),
inference(avatar_contradiction_clause,[],[f6519]) ).
thf(f6526,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_33
| ~ spl0_120 ),
inference(constrained_superposition,[],[f6198,f5195]) ).
thf(f6528,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_120 ),
inference(constrained_superposition,[],[f31,f5195]) ).
thf(f6529,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_120 ),
inference(trivial_inequality_removal,[],[f6528]) ).
thf(f6530,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_33
| ~ spl0_120 ),
inference(trivial_inequality_removal,[],[f6526]) ).
thf(f6532,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_33
| ~ spl0_120 ),
inference(constrained_superposition,[],[f6530,f444]) ).
thf(f6541,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_33
| ~ spl0_120 ),
inference(trivial_inequality_removal,[],[f6532]) ).
thf(f6545,plain,
( spl0_162
| ~ spl0_2
| ~ spl0_33
| ~ spl0_120 ),
inference(avatar_split_clause,[],[f6541,f5194,f574,f53,f6128]) ).
thf(f6548,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_121 ),
inference(constrained_superposition,[],[f31,f5200]) ).
thf(f6549,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f6548]) ).
thf(f6552,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_163 ),
inference(constrained_superposition,[],[f6164,f34]) ).
thf(f6564,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f6552]) ).
thf(f6567,plain,
( ~ spl0_7
| spl0_137
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f6564,f6163,f5349,f109]) ).
thf(f6568,plain,
( ~ spl0_137
| ~ spl0_35
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f6479,f5325,f581,f5349]) ).
thf(f6569,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| spl0_7 ),
inference(constrained_superposition,[],[f110,f34]) ).
thf(f6571,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_7 ),
inference(trivial_inequality_removal,[],[f6569]) ).
thf(f6573,plain,
( spl0_94
| spl0_7 ),
inference(avatar_split_clause,[],[f6571,f109,f5038]) ).
thf(f6576,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_94 ),
inference(constrained_superposition,[],[f31,f5039]) ).
thf(f6578,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f6576]) ).
thf(f6584,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_94
| ~ spl0_127 ),
inference(constrained_superposition,[],[f6578,f5312]) ).
thf(f6591,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_94
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f6584]) ).
thf(f6595,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f85,f35]) ).
thf(f6598,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f6595]) ).
thf(f6600,plain,
( spl0_103
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f6598,f84,f5093]) ).
thf(f6605,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_10
| ~ spl0_120 ),
inference(constrained_superposition,[],[f6529,f197]) ).
thf(f6612,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_10
| ~ spl0_120 ),
inference(trivial_inequality_removal,[],[f6605]) ).
thf(f6620,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_10
| ~ spl0_33
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[],[f6612,f6198]) ).
thf(f6622,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_10
| ~ spl0_33
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[],[f6620,f6530]) ).
thf(f6629,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_151 ),
inference(constrained_superposition,[],[f5800,f35]) ).
thf(f6634,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f6629]) ).
thf(f6638,plain,
( spl0_136
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f6634,f5799,f5346]) ).
thf(f6640,definition,
( spl0_168
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
thf(f6641,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f6640]) ).
thf(f6642,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_161 ),
inference(avatar_component_clause,[],[f6089]) ).
thf(f6644,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_161 ),
inference(constrained_superposition,[],[f6642,f61]) ).
thf(f6649,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_161 ),
inference(trivial_inequality_removal,[],[f6644]) ).
thf(f6656,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_140 ),
inference(constrained_superposition,[],[f1656,f5553]) ).
thf(f6657,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_6
| ~ spl0_140 ),
inference(constrained_superposition,[],[f409,f5553]) ).
thf(f6659,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_140 ),
inference(constrained_superposition,[],[f31,f5553]) ).
thf(f6661,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f6659]) ).
thf(f6662,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f6656]) ).
thf(f6663,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_6
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f6657]) ).
thf(f6723,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_117
| ~ spl0_127 ),
inference(constrained_superposition,[],[f5732,f5185]) ).
thf(f6739,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_117
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f6723]) ).
thf(f6764,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_131 ),
inference(constrained_superposition,[],[f6480,f444]) ).
thf(f6775,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_121
| ~ spl0_131 ),
inference(constrained_superposition,[],[f6480,f5200]) ).
thf(f6779,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_121
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f6775]) ).
thf(f6785,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f6764]) ).
thf(f6800,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2
| ~ spl0_35
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f6785,f582]) ).
thf(f6803,plain,
( spl0_162
| ~ spl0_2
| ~ spl0_35
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f6800,f5325,f581,f53,f6128]) ).
thf(f6847,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_10
| ~ spl0_140 ),
inference(constrained_superposition,[],[f6661,f197]) ).
thf(f6854,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_10
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f6847]) ).
thf(f6860,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f6854,f409]) ).
thf(f6862,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f6860,f6663]) ).
thf(f6883,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f5339,f34]) ).
thf(f6889,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f6883]) ).
thf(f6894,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_94
| ~ spl0_127
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f6889,f6591]) ).
thf(f6898,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_94
| ~ spl0_127
| ~ spl0_134 ),
inference(constrained_superposition,[],[f6894,f28]) ).
thf(f6900,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_94
| ~ spl0_127
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f6898]) ).
thf(f6903,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_94
| ~ spl0_127
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f6900,f29]) ).
thf(f6904,plain,
( $false
| ~ spl0_94
| ~ spl0_127
| ~ spl0_134
| spl0_137 ),
inference(forward_subsumption_resolution,[],[f6903,f5838]) ).
thf(f6905,plain,
( ~ spl0_94
| ~ spl0_127
| ~ spl0_134
| spl0_137 ),
inference(avatar_contradiction_clause,[],[f6904]) ).
thf(f6941,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_121
| ~ spl0_140 ),
inference(constrained_superposition,[],[f6549,f5553]) ).
thf(f6942,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_121 ),
inference(constrained_superposition,[],[f6549,f61]) ).
thf(f6949,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f6942]) ).
thf(f6951,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_121
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f6941]) ).
thf(f6963,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f551,f60]) ).
thf(f6968,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f6963]) ).
thf(f6971,plain,
( spl0_116
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f6968,f550,f5168]) ).
thf(f6973,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f568,f34]) ).
thf(f6985,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f6973]) ).
thf(f7081,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_83
| ~ spl0_121 ),
inference(constrained_superposition,[],[f6549,f4936]) ).
thf(f7088,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_83
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f7081]) ).
thf(f7094,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_83
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[],[f7088,f29]) ).
thf(f7097,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_83
| ~ spl0_121
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f7094,f5326]) ).
thf(f7099,plain,
( spl0_128
| spl0_139
| ~ spl0_83
| ~ spl0_121
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f7097,f5325,f5199,f4935,f5549,f5314]) ).
thf(f7146,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_8
| ~ spl0_117
| ~ spl0_127 ),
inference(constrained_superposition,[],[f6739,f113]) ).
thf(f7160,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_8
| ~ spl0_117
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f7146]) ).
thf(f7169,plain,
( $false
| ~ spl0_8
| ~ spl0_117
| ~ spl0_127
| spl0_137 ),
inference(forward_subsumption_resolution,[],[f7160,f5838]) ).
thf(f7170,plain,
( ~ spl0_8
| ~ spl0_117
| ~ spl0_127
| spl0_137 ),
inference(avatar_contradiction_clause,[],[f7169]) ).
thf(f7346,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_97
| ~ spl0_117
| ~ spl0_127 ),
inference(constrained_superposition,[],[f6739,f5066]) ).
thf(f7361,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_97
| ~ spl0_117
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f7346]) ).
thf(f7370,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_97
| ~ spl0_117
| ~ spl0_127
| spl0_137 ),
inference(forward_subsumption_resolution,[],[f7361,f5838]) ).
thf(f7372,plain,
( spl0_126
| ~ spl0_97
| ~ spl0_117
| ~ spl0_127
| spl0_137 ),
inference(avatar_split_clause,[],[f7370,f5349,f5311,f5184,f5065,f5308]) ).
thf(f7518,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= z )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_45
| ~ spl0_140 ),
inference(constrained_superposition,[],[f3095,f6662]) ).
thf(f7636,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_45
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f7518,f29]) ).
thf(f7668,definition,
( spl0_182
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).
thf(f7669,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f7668]) ).
thf(f7671,definition,
( spl0_183
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
thf(f7672,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f7671]) ).
thf(f7673,plain,
( spl0_11
| spl0_182
| spl0_183
| ~ spl0_2
| ~ spl0_6
| ~ spl0_45
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f7636,f5552,f751,f87,f53,f7671,f7668,f170]) ).
thf(f7675,definition,
( spl0_184
<=> ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
thf(f7676,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f7675]) ).
thf(f7694,definition,
( spl0_188
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
thf(f7695,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_188 ),
inference(avatar_component_clause,[],[f7694]) ).
thf(f7799,definition,
( spl0_191
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
thf(f7800,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f7799]) ).
thf(f7811,definition,
( spl0_194
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
thf(f7812,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f7811]) ).
thf(f7825,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_11
| ~ spl0_31 ),
inference(constrained_superposition,[],[f568,f171]) ).
thf(f7847,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f7825]) ).
thf(f7851,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_6
| ~ spl0_11
| ~ spl0_31
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f7847,f650]) ).
thf(f7860,plain,
( ( $true != $true )
| ~ spl0_6
| ~ spl0_11
| ~ spl0_31
| ~ spl0_35
| ~ spl0_121
| ~ spl0_131 ),
inference(constrained_superposition,[],[f6779,f7851]) ).
thf(f7861,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_11
| ~ spl0_31
| ~ spl0_35
| ~ spl0_117 ),
inference(constrained_superposition,[],[f5980,f7851]) ).
thf(f7869,plain,
( $false
| ~ spl0_6
| ~ spl0_11
| ~ spl0_31
| ~ spl0_35
| ~ spl0_121
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f7860]) ).
thf(f7870,plain,
( ~ spl0_6
| ~ spl0_11
| ~ spl0_31
| ~ spl0_35
| ~ spl0_121
| ~ spl0_131 ),
inference(avatar_contradiction_clause,[],[f7869]) ).
thf(f7873,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_11
| ~ spl0_31
| ~ spl0_35
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f7861]) ).
thf(f7878,plain,
( $false
| ~ spl0_6
| ~ spl0_11
| ~ spl0_31
| ~ spl0_35
| ~ spl0_117
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[],[f7873,f5195]) ).
thf(f7879,plain,
( ~ spl0_6
| ~ spl0_11
| ~ spl0_31
| ~ spl0_35
| ~ spl0_117
| ~ spl0_120 ),
inference(avatar_contradiction_clause,[],[f7878]) ).
thf(f7881,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_140
| ~ spl0_182 ),
inference(constrained_superposition,[],[f7669,f6662]) ).
thf(f7892,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_121
| ~ spl0_131
| ~ spl0_140
| ~ spl0_182 ),
inference(forward_subsumption_resolution,[],[f7881,f6779]) ).
thf(f7903,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_121
| ~ spl0_131
| ~ spl0_140
| ~ spl0_182 ),
inference(constrained_superposition,[],[f25,f7892]) ).
thf(f7917,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_121
| ~ spl0_131
| ~ spl0_140
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f7903]) ).
thf(f7926,definition,
( spl0_196
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).
thf(f7927,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_196 ),
inference(avatar_component_clause,[],[f7926]) ).
thf(f7929,definition,
( spl0_197
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).
thf(f7930,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f7929]) ).
thf(f7933,definition,
( spl0_198
<=> ! [X1: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
thf(f7934,plain,
( ! [X1: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f7933]) ).
thf(f7936,definition,
( spl0_199
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).
thf(f7937,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_199 ),
inference(avatar_component_clause,[],[f7936]) ).
thf(f7938,plain,
( spl0_198
| spl0_199
| ~ spl0_2
| ~ spl0_6
| ~ spl0_121
| ~ spl0_131
| ~ spl0_140
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f7917,f7668,f5552,f5325,f5199,f87,f53,f7936,f7933]) ).
thf(f7965,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_128 ),
inference(constrained_superposition,[],[f61,f5315]) ).
thf(f8079,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f7965,f26]) ).
thf(f8115,plain,
( $false
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f8079,f30]) ).
thf(f8116,plain,
~ spl0_128,
inference(avatar_contradiction_clause,[],[f8115]) ).
thf(f8146,definition,
( spl0_201
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
thf(f8147,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f8146]) ).
thf(f8154,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f7934,f60]) ).
thf(f8162,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f8154]) ).
thf(f8166,definition,
( spl0_202
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).
thf(f8167,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f8166]) ).
thf(f8171,plain,
( spl0_183
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f8162,f7933,f7671]) ).
thf(f8175,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_6
| ~ spl0_191 ),
inference(constrained_superposition,[],[f416,f7800]) ).
thf(f8180,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_191 ),
inference(constrained_superposition,[],[f31,f7800]) ).
thf(f8184,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_6
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f8175]) ).
thf(f8186,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f8180]) ).
thf(f8189,plain,
( spl0_202
| ~ spl0_6
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f8184,f7799,f87,f8166]) ).
thf(f8198,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f31,f7672]) ).
thf(f8200,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f8198]) ).
thf(f8258,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_183
| ~ spl0_191 ),
inference(constrained_superposition,[],[f8186,f7672]) ).
thf(f8281,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_183
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f8258]) ).
thf(f8287,plain,
( $false
| ~ spl0_6
| ~ spl0_183
| ~ spl0_191 ),
inference(forward_subsumption_resolution,[],[f8281,f88]) ).
thf(f8288,plain,
( ~ spl0_6
| ~ spl0_183
| ~ spl0_191 ),
inference(avatar_contradiction_clause,[],[f8287]) ).
thf(f8299,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_10
| ~ spl0_33
| ~ spl0_120
| ~ spl0_196 ),
inference(constrained_superposition,[],[f6622,f7927]) ).
thf(f8307,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_10
| ~ spl0_33
| ~ spl0_120
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f8299]) ).
thf(f8308,plain,
( spl0_139
| ~ spl0_10
| ~ spl0_33
| ~ spl0_120
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f8307,f7926,f5194,f574,f158,f5549]) ).
thf(f8311,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X0 )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= X0 ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_35
| ~ spl0_45
| ~ spl0_183 ),
inference(constrained_superposition,[],[f8200,f5141]) ).
thf(f8342,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= X0 ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_35
| ~ spl0_45
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f8311]) ).
thf(f8349,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_35
| ~ spl0_45
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f8342,f29]) ).
thf(f8352,plain,
( spl0_128
| spl0_194
| ~ spl0_6
| ~ spl0_10
| ~ spl0_35
| ~ spl0_45
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f8349,f7671,f751,f581,f158,f87,f7811,f5314]) ).
thf(f8359,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_199 ),
inference(constrained_superposition,[],[f7937,f313]) ).
thf(f8368,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_199 ),
inference(trivial_inequality_removal,[],[f8359]) ).
thf(f8370,plain,
( spl0_196
| ~ spl0_57
| ~ spl0_199 ),
inference(avatar_split_clause,[],[f8368,f7936,f1113,f7926]) ).
thf(f8641,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_140
| ~ spl0_184 ),
inference(constrained_superposition,[],[f7676,f6662]) ).
thf(f8667,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_140
| ~ spl0_184 ),
inference(duplicate_literal_removal,[],[f8641]) ).
thf(f8674,plain,
( spl0_11
| spl0_126
| ~ spl0_2
| ~ spl0_6
| ~ spl0_140
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f8667,f7675,f5552,f87,f53,f5308,f170]) ).
thf(f8792,definition,
( spl0_207
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).
thf(f8793,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f8792]) ).
thf(f8887,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_140
| ~ spl0_207 ),
inference(constrained_superposition,[],[f6862,f8793]) ).
thf(f8910,definition,
( spl0_209
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).
thf(f8911,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f8910]) ).
thf(f8917,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_140
| ~ spl0_207 ),
inference(forward_subsumption_resolution,[],[f8887,f5553]) ).
thf(f8920,plain,
( spl0_209
| ~ spl0_6
| ~ spl0_10
| ~ spl0_140
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f8917,f8792,f5552,f158,f87,f8910]) ).
thf(f8922,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_117
| ~ spl0_209 ),
inference(constrained_superposition,[],[f5185,f8911]) ).
thf(f8925,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_129
| ~ spl0_209 ),
inference(constrained_superposition,[],[f5319,f8911]) ).
thf(f9044,plain,
( $false
| ~ spl0_117
| ~ spl0_209 ),
inference(forward_subsumption_resolution,[],[f8922,f26]) ).
thf(f9045,plain,
( ~ spl0_117
| ~ spl0_209 ),
inference(avatar_contradiction_clause,[],[f9044]) ).
thf(f9060,plain,
( ~ spl0_143
| spl0_129
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f8925,f8910,f5318,f5667]) ).
thf(f9067,definition,
( spl0_211
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).
thf(f9068,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f9067]) ).
thf(f9079,plain,
( spl0_127
| spl0_129 ),
inference(avatar_split_clause,[],[f5751,f5318,f5311]) ).
thf(f9085,plain,
( spl0_127
| spl0_128
| spl0_129 ),
inference(avatar_split_clause,[],[f5752,f5318,f5314,f5311]) ).
thf(f9089,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_133 ),
inference(avatar_component_clause,[],[f5334]) ).
thf(f9095,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_41 ),
inference(avatar_component_clause,[],[f701]) ).
thf(f9096,plain,
( ~ spl0_41
| spl0_168
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f6949,f5199,f6640,f701]) ).
thf(f9105,definition,
( spl0_214
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).
thf(f9106,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f9105]) ).
thf(f9115,plain,
( ~ spl0_41
| ~ spl0_121
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f6951,f5552,f5199,f701]) ).
thf(f9142,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_120 ),
inference(avatar_component_clause,[],[f5194]) ).
thf(f9175,plain,
( spl0_158
| spl0_161 ),
inference(avatar_split_clause,[],[f6649,f6089,f5985]) ).
thf(f9189,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_161 ),
inference(constrained_superposition,[],[f409,f6090]) ).
thf(f9193,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_6
| ~ spl0_161 ),
inference(trivial_inequality_removal,[],[f9189]) ).
thf(f9228,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_117
| ~ spl0_127 ),
inference(constrained_superposition,[],[f5980,f5312]) ).
thf(f9232,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_127 ),
inference(constrained_superposition,[],[f31,f5312]) ).
thf(f9234,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_117
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f9228]) ).
thf(f9237,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f9232]) ).
thf(f9239,plain,
( $false
| ~ spl0_117
| ~ spl0_127
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f9234,f6090]) ).
thf(f9240,plain,
( ~ spl0_117
| ~ spl0_127
| ~ spl0_161 ),
inference(avatar_contradiction_clause,[],[f9239]) ).
thf(f9242,plain,
( spl0_214
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f9237,f5311,f9105]) ).
thf(f9247,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_41 ),
inference(constrained_superposition,[],[f31,f702]) ).
thf(f9248,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f9247]) ).
thf(f9255,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_140 ),
inference(constrained_superposition,[],[f5983,f61]) ).
thf(f9262,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_140 ),
inference(trivial_inequality_removal,[],[f9255]) ).
thf(f9264,plain,
( spl0_168
| spl0_140 ),
inference(avatar_split_clause,[],[f9262,f5552,f6640]) ).
thf(f9292,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_168 ),
inference(constrained_superposition,[],[f1087,f6641]) ).
thf(f9301,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f9292]) ).
thf(f9313,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_6
| ~ spl0_35
| ~ spl0_168 ),
inference(forward_subsumption_resolution,[],[f9301,f650]) ).
thf(f9318,plain,
( spl0_151
| spl0_148
| ~ spl0_6
| ~ spl0_35
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f9313,f6640,f581,f87,f5788,f5799]) ).
thf(f9332,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_147 ),
inference(constrained_superposition,[],[f31,f5784]) ).
thf(f9335,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f9332]) ).
thf(f9342,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_33
| ~ spl0_148 ),
inference(constrained_superposition,[],[f6198,f5789]) ).
thf(f9345,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_148 ),
inference(constrained_superposition,[],[f31,f5789]) ).
thf(f9346,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f9345]) ).
thf(f9348,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_33
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f9342]) ).
thf(f9368,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_2
| ~ spl0_41 ),
inference(constrained_superposition,[],[f9248,f444]) ).
thf(f9382,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_10
| ~ spl0_41 ),
inference(constrained_superposition,[],[f9248,f197]) ).
thf(f9386,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_2
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f9368]) ).
thf(f9392,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_10
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f9382]) ).
thf(f9401,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2
| ~ spl0_41
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[],[f9386,f5039]) ).
thf(f9403,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_41
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f9392,f9193]) ).
thf(f9408,plain,
( spl0_162
| ~ spl0_2
| ~ spl0_41
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f9401,f5038,f701,f53,f6128]) ).
thf(f9478,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_35
| ~ spl0_45
| ~ spl0_147 ),
inference(constrained_superposition,[],[f9335,f5141]) ).
thf(f9498,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_35
| ~ spl0_45
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f9478]) ).
thf(f9513,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_35
| ~ spl0_45
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f9498,f29]) ).
thf(f9521,definition,
( spl0_224
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).
thf(f9522,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f9521]) ).
thf(f9523,plain,
( spl0_126
| spl0_224
| ~ spl0_6
| ~ spl0_10
| ~ spl0_35
| ~ spl0_45
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f9513,f5783,f751,f581,f158,f87,f9521,f5308]) ).
thf(f9531,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_10
| ~ spl0_148 ),
inference(constrained_superposition,[],[f9346,f197]) ).
thf(f9537,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_10
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f9531]) ).
thf(f9545,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_10
| ~ spl0_33
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f9537,f6198]) ).
thf(f9548,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_10
| ~ spl0_33
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f9545,f9348]) ).
thf(f9572,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_124
| spl0_131 ),
inference(constrained_superposition,[],[f6044,f5302]) ).
thf(f9591,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_124
| spl0_131 ),
inference(trivial_inequality_removal,[],[f9572]) ).
thf(f9609,plain,
( spl0_152
| ~ spl0_124
| spl0_131 ),
inference(avatar_split_clause,[],[f9591,f5325,f5301,f5832]) ).
thf(f9953,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_35
| ~ spl0_45
| ~ spl0_68
| ~ spl0_147 ),
inference(constrained_superposition,[],[f9335,f5147]) ).
thf(f9968,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_6
| ~ spl0_35
| ~ spl0_45
| ~ spl0_68
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f9953]) ).
thf(f9973,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) )
| ~ spl0_6
| ~ spl0_35
| ~ spl0_45
| ~ spl0_68
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f9968,f29]) ).
thf(f9981,definition,
( spl0_230
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).
thf(f9982,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f9981]) ).
thf(f9983,plain,
( spl0_230
| spl0_126
| ~ spl0_6
| ~ spl0_35
| ~ spl0_45
| ~ spl0_68
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f9973,f5783,f2149,f751,f581,f87,f5308,f9981]) ).
thf(f10010,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_44
| spl0_131 ),
inference(constrained_superposition,[],[f6044,f748]) ).
thf(f10018,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_44
| spl0_131 ),
inference(trivial_inequality_removal,[],[f10010]) ).
thf(f10157,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| spl0_120
| ~ spl0_162 ),
inference(constrained_superposition,[],[f9142,f6129]) ).
thf(f10169,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_120
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f10157]) ).
thf(f10246,definition,
( spl0_235
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_235])],[avatar_definition]) ).
thf(f10247,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_235 ),
inference(avatar_component_clause,[],[f10246]) ).
thf(f10259,definition,
( spl0_237
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_237])],[avatar_definition]) ).
thf(f10260,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_237 ),
inference(avatar_component_clause,[],[f10259]) ).
thf(f10267,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_45
| ~ spl0_224 ),
inference(constrained_superposition,[],[f9522,f2981]) ).
thf(f10283,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( ( s @ X0 )
= z )
| ( ( s @ z )
= X0 ) )
| ~ spl0_45
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f10267]) ).
thf(f10301,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_35
| ~ spl0_45
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f10283,f4100]) ).
thf(f10306,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_35
| ~ spl0_45
| ~ spl0_224 ),
inference(forward_subsumption_resolution,[],[f10301,f29]) ).
thf(f10348,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_35
| ~ spl0_45
| ~ spl0_224 ),
inference(constrained_superposition,[],[f3095,f10306]) ).
thf(f10534,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_35
| ~ spl0_45
| ~ spl0_224 ),
inference(duplicate_literal_removal,[],[f10348]) ).
thf(f10558,plain,
( spl0_182
| spl0_183
| spl0_106
| ~ spl0_35
| ~ spl0_45
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f10534,f9521,f751,f581,f5106,f7671,f7668]) ).
thf(f10604,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_106
| ~ spl0_117 ),
inference(constrained_superposition,[],[f5980,f5107]) ).
thf(f10614,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_106
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f10604]) ).
thf(f10628,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_106
| ~ spl0_117
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f10614,f6090]) ).
thf(f10632,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_106
| ~ spl0_117
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f10628,f29]) ).
thf(f10635,plain,
( spl0_126
| ~ spl0_106
| ~ spl0_117
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f10632,f6089,f5184,f5106,f5308]) ).
thf(f10755,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_10
| ~ spl0_33
| ~ spl0_148
| ~ spl0_207 ),
inference(constrained_superposition,[],[f9548,f8793]) ).
thf(f10767,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_10
| ~ spl0_33
| ~ spl0_148
| ~ spl0_207 ),
inference(forward_subsumption_resolution,[],[f10755,f5789]) ).
thf(f10776,plain,
( spl0_209
| ~ spl0_10
| ~ spl0_33
| ~ spl0_148
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f10767,f8792,f5788,f574,f158,f8910]) ).
thf(f10786,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_41
| ~ spl0_161
| ~ spl0_183 ),
inference(constrained_superposition,[],[f9403,f7672]) ).
thf(f10796,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_41
| ~ spl0_161
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f10786]) ).
thf(f10803,plain,
( spl0_191
| spl0_139
| ~ spl0_6
| ~ spl0_10
| ~ spl0_41
| ~ spl0_161
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f10796,f7671,f6089,f701,f158,f87,f5549,f7799]) ).
thf(f10811,definition,
( spl0_246
<=> ! [X2: $i,X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ X2 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ X2 @ z ) )
| ( ( s @ X0 )
= X2 )
| ( z = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_246])],[avatar_definition]) ).
thf(f10812,plain,
( ! [X2: $i,X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ X2 @ z ) )
| ( ( s @ X0 )
= X2 )
| ( $true
= ( r @ ( s @ X0 ) @ X2 ) )
| ( z = X2 ) )
| ~ spl0_246 ),
inference(avatar_component_clause,[],[f10811]) ).
thf(f10819,plain,
( ( $true != $true )
| ~ spl0_9
| spl0_137 ),
inference(constrained_superposition,[],[f5838,f156]) ).
thf(f10820,plain,
( ( $true != $true )
| ~ spl0_9
| spl0_188 ),
inference(constrained_superposition,[],[f7695,f156]) ).
thf(f10821,plain,
( ( $true != $true )
| ~ spl0_9
| spl0_133 ),
inference(constrained_superposition,[],[f9089,f156]) ).
thf(f10832,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_148 ),
inference(constrained_superposition,[],[f9346,f156]) ).
thf(f10835,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f31,f156]) ).
thf(f10837,plain,
( $false
| ~ spl0_9
| spl0_133 ),
inference(trivial_inequality_removal,[],[f10821]) ).
thf(f10838,plain,
( ~ spl0_9
| spl0_133 ),
inference(avatar_contradiction_clause,[],[f10837]) ).
thf(f10840,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_9
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f10832]) ).
thf(f10841,plain,
( $false
| ~ spl0_9
| spl0_137 ),
inference(trivial_inequality_removal,[],[f10819]) ).
thf(f10842,plain,
( ~ spl0_9
| spl0_137 ),
inference(avatar_contradiction_clause,[],[f10841]) ).
thf(f10845,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f10835]) ).
thf(f10853,plain,
( $false
| ~ spl0_9
| spl0_188 ),
inference(trivial_inequality_removal,[],[f10820]) ).
thf(f10854,plain,
( ~ spl0_9
| spl0_188 ),
inference(avatar_contradiction_clause,[],[f10853]) ).
thf(f10870,definition,
( spl0_247
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_247])],[avatar_definition]) ).
thf(f10871,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_247 ),
inference(avatar_component_clause,[],[f10870]) ).
thf(f10878,plain,
( spl0_126
| spl0_161
| spl0_152
| ~ spl0_44
| spl0_131 ),
inference(avatar_split_clause,[],[f10018,f5325,f747,f5832,f6089,f5308]) ).
thf(f10880,plain,
( ~ spl0_33
| ~ spl0_9
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f10840,f5788,f155,f574]) ).
thf(f10885,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_120
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[],[f10169,f29]) ).
thf(f10890,plain,
( spl0_247
| spl0_49 ),
inference(avatar_split_clause,[],[f1012,f1001,f10870]) ).
thf(f10906,plain,
( spl0_33
| spl0_152
| spl0_120
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f10885,f6128,f5194,f5832,f574]) ).
thf(f10911,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f51,f28]) ).
thf(f10912,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( z = X0 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f10911]) ).
thf(f10914,plain,
( spl0_24
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f10912,f50,f507]) ).
thf(f10919,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f31,f508]) ).
thf(f10929,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( z = X0 ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f10919]) ).
thf(f11140,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_9
| ~ spl0_24 ),
inference(constrained_superposition,[],[f10929,f156]) ).
thf(f11144,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( z = X1 ) )
| ~ spl0_9
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f11140]) ).
thf(f11149,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ~ spl0_9
| ~ spl0_24
| ~ spl0_28 ),
inference(constrained_superposition,[],[f11144,f554]) ).
thf(f11161,plain,
( ( z
= ( s @ z ) )
| ~ spl0_9
| ~ spl0_24
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f11149]) ).
thf(f11176,plain,
( $false
| ~ spl0_9
| ~ spl0_24
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f11161,f29]) ).
thf(f11177,plain,
( ~ spl0_9
| ~ spl0_24
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f11176]) ).
thf(f11203,plain,
( ( $true != $true )
| ~ spl0_3
| ~ spl0_11 ),
inference(constrained_superposition,[],[f78,f171]) ).
thf(f11210,plain,
( $false
| ~ spl0_3
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f11203]) ).
thf(f11211,plain,
( ~ spl0_3
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f11210]) ).
thf(f11212,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_33 ),
inference(constrained_superposition,[],[f416,f575]) ).
thf(f11214,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f31,f575]) ).
thf(f11216,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_6
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f11212]) ).
thf(f11217,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f11214]) ).
thf(f11234,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_9
| ~ spl0_45 ),
inference(constrained_superposition,[],[f10845,f3095]) ).
thf(f11242,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_9
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f11234]) ).
thf(f11251,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_9
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f11242,f10845]) ).
thf(f11257,plain,
( ! [X0: $i] : ( z = X0 )
| ~ spl0_9
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f11251,f156]) ).
thf(f11311,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_9
| ~ spl0_45 ),
inference(constrained_superposition,[],[f61,f11257]) ).
thf(f11450,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_9
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f11311,f26]) ).
thf(f11476,plain,
( $false
| ~ spl0_9
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f11450,f30]) ).
thf(f11477,plain,
( ~ spl0_9
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f11476]) ).
thf(f11482,plain,
( spl0_38
| ~ spl0_37
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f6985,f567,f629,f632]) ).
thf(f11484,definition,
( spl0_254
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_254])],[avatar_definition]) ).
thf(f11485,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_254 ),
inference(avatar_component_clause,[],[f11484]) ).
thf(f11486,plain,
( spl0_254
| spl0_54
| spl0_35 ),
inference(avatar_split_clause,[],[f1083,f581,f1103,f11484]) ).
thf(f11489,plain,
( spl0_247
| ~ spl0_6
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f11216,f574,f87,f10870]) ).
thf(f11494,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f2974,f29]) ).
thf(f11496,plain,
( spl0_35
| ~ spl0_7
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f2931,f751,f109,f581]) ).
thf(f11499,plain,
( spl0_35
| spl0_94
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f11494,f751,f5038,f581]) ).
thf(f11519,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_94 ),
inference(constrained_superposition,[],[f31,f5039]) ).
thf(f11520,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f11519]) ).
thf(f11522,plain,
( $false
| ~ spl0_3
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[],[f10871,f78]) ).
thf(f11523,plain,
( ~ spl0_3
| ~ spl0_247 ),
inference(avatar_contradiction_clause,[],[f11522]) ).
thf(f11568,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_6
| ~ spl0_136 ),
inference(constrained_superposition,[],[f416,f5347]) ).
thf(f11570,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_136 ),
inference(constrained_superposition,[],[f31,f5347]) ).
thf(f11571,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f11570]) ).
thf(f11572,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_6
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f11568]) ).
thf(f11574,plain,
( spl0_168
| ~ spl0_6
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f11572,f5346,f87,f6640]) ).
thf(f11671,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_33
| ~ spl0_54 ),
inference(constrained_superposition,[],[f11217,f1104]) ).
thf(f11673,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_33
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f11671]) ).
thf(f11678,plain,
( ( $true != $true )
| ~ spl0_33
| ~ spl0_54
| ~ spl0_136 ),
inference(constrained_superposition,[],[f11673,f5347]) ).
thf(f11681,plain,
( $false
| ~ spl0_33
| ~ spl0_54
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f11678]) ).
thf(f11682,plain,
( ~ spl0_33
| ~ spl0_54
| ~ spl0_136 ),
inference(avatar_contradiction_clause,[],[f11681]) ).
thf(f11705,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_31
| ~ spl0_168 ),
inference(constrained_superposition,[],[f568,f6641]) ).
thf(f11706,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_168 ),
inference(constrained_superposition,[],[f1087,f6641]) ).
thf(f11717,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_31
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f11705]) ).
thf(f11718,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f11706]) ).
thf(f11743,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_151 ),
inference(constrained_superposition,[],[f5800,f60]) ).
thf(f11751,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f11743]) ).
thf(f11754,plain,
( spl0_127
| ~ spl0_151 ),
inference(avatar_split_clause,[],[f11751,f5799,f5311]) ).
thf(f11759,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_247 ),
inference(avatar_component_clause,[],[f10870]) ).
thf(f11760,plain,
( ~ spl0_247
| spl0_147
| ~ spl0_31
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f11717,f6640,f567,f5783,f10870]) ).
thf(f11761,plain,
( spl0_148
| ~ spl0_247
| spl0_151
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f11718,f6640,f5799,f10870,f5788]) ).
thf(f11802,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_137 ),
inference(constrained_superposition,[],[f132,f5350]) ).
thf(f11803,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_137 ),
inference(constrained_superposition,[],[f31,f5350]) ).
thf(f11805,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f11803]) ).
thf(f11807,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f11802]) ).
thf(f11810,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f11807,f88]) ).
thf(f11812,plain,
( spl0_158
| ~ spl0_6
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f11810,f5349,f87,f5985]) ).
thf(f11813,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_247 ),
inference(constrained_superposition,[],[f11759,f36]) ).
thf(f11815,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_247 ),
inference(trivial_inequality_removal,[],[f11813]) ).
thf(f11817,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_247 ),
inference(forward_subsumption_resolution,[],[f11815,f29]) ).
thf(f11833,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_31
| ~ spl0_158 ),
inference(constrained_superposition,[],[f568,f5986]) ).
thf(f11834,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_158 ),
inference(constrained_superposition,[],[f1087,f5986]) ).
thf(f11839,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_31
| ~ spl0_158 ),
inference(trivial_inequality_removal,[],[f11833]) ).
thf(f11842,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_158 ),
inference(trivial_inequality_removal,[],[f11834]) ).
thf(f11857,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_51
| spl0_120 ),
inference(constrained_superposition,[],[f9142,f1023]) ).
thf(f11859,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_51
| spl0_120 ),
inference(trivial_inequality_removal,[],[f11857]) ).
thf(f11861,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_41
| ~ spl0_51
| spl0_120 ),
inference(forward_subsumption_resolution,[],[f11859,f9095]) ).
thf(f11863,plain,
( spl0_152
| spl0_126
| spl0_41
| ~ spl0_51
| spl0_120 ),
inference(avatar_split_clause,[],[f11861,f5194,f1022,f701,f5308,f5832]) ).
thf(f11864,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_254 ),
inference(constrained_superposition,[],[f11485,f28]) ).
thf(f11868,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_254 ),
inference(constrained_superposition,[],[f11485,f312]) ).
thf(f11869,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f11868]) ).
thf(f11870,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f11864]) ).
thf(f11874,plain,
( spl0_34
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f11869,f11484,f577]) ).
thf(f11883,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_16
| spl0_140 ),
inference(constrained_superposition,[],[f5983,f349]) ).
thf(f11891,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_16
| spl0_140 ),
inference(trivial_inequality_removal,[],[f11883]) ).
thf(f11897,plain,
( spl0_128
| ~ spl0_16
| spl0_140 ),
inference(avatar_split_clause,[],[f11891,f5552,f348,f5314]) ).
thf(f11971,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_117
| ~ spl0_137 ),
inference(constrained_superposition,[],[f11805,f5185]) ).
thf(f11976,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_117
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f11971]) ).
thf(f11979,plain,
( ~ spl0_133
| ~ spl0_117
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f11976,f5349,f5184,f5334]) ).
thf(f12016,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true ) )
| ~ spl0_163 ),
inference(constrained_superposition,[],[f6164,f36]) ).
thf(f12022,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f12016]) ).
thf(f12035,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_117
| ~ spl0_136 ),
inference(constrained_superposition,[],[f11571,f5185]) ).
thf(f12046,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_117
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f12035]) ).
thf(f12048,plain,
( $false
| ~ spl0_117
| ~ spl0_119
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f12046,f5192]) ).
thf(f12049,plain,
( ~ spl0_117
| ~ spl0_119
| ~ spl0_136 ),
inference(avatar_contradiction_clause,[],[f12048]) ).
thf(f12054,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_94
| ~ spl0_127 ),
inference(constrained_superposition,[],[f11520,f5312]) ).
thf(f12059,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_94
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f12054]) ).
thf(f12105,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_132 ),
inference(constrained_superposition,[],[f5332,f313]) ).
thf(f12110,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f12105]) ).
thf(f12114,plain,
( spl0_148
| ~ spl0_43
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f12110,f5331,f714,f5788]) ).
thf(f12115,plain,
( ~ spl0_133
| ~ spl0_94
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f12059,f5311,f5038,f5334]) ).
thf(f12123,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_148 ),
inference(constrained_superposition,[],[f132,f5789]) ).
thf(f12124,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_148 ),
inference(constrained_superposition,[],[f31,f5789]) ).
thf(f12127,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f12124]) ).
thf(f12128,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f12123]) ).
thf(f12200,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_122
| ~ spl0_150 ),
inference(constrained_superposition,[],[f5797,f5203]) ).
thf(f12209,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_122
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f12200]) ).
thf(f12210,plain,
( ~ spl0_143
| ~ spl0_122
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f12209,f5796,f5202,f5667]) ).
thf(f12212,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_143 ),
inference(constrained_superposition,[],[f5668,f36]) ).
thf(f12215,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_143 ),
inference(trivial_inequality_removal,[],[f12212]) ).
thf(f12218,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_143 ),
inference(forward_subsumption_resolution,[],[f12215,f29]) ).
thf(f12222,plain,
( $false
| spl0_41
| spl0_143 ),
inference(forward_subsumption_resolution,[],[f12218,f9095]) ).
thf(f12223,plain,
( spl0_41
| spl0_143 ),
inference(avatar_contradiction_clause,[],[f12222]) ).
thf(f12225,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_148
| spl0_247 ),
inference(forward_subsumption_resolution,[],[f12128,f11817]) ).
thf(f12228,plain,
( spl0_168
| ~ spl0_148
| spl0_247 ),
inference(avatar_split_clause,[],[f12225,f10870,f5788,f6640]) ).
thf(f12229,plain,
( ( $true != $true )
| ~ spl0_11
| spl0_247 ),
inference(constrained_superposition,[],[f11759,f171]) ).
thf(f12242,plain,
( $false
| ~ spl0_11
| spl0_247 ),
inference(trivial_inequality_removal,[],[f12229]) ).
thf(f12243,plain,
( ~ spl0_11
| spl0_247 ),
inference(avatar_contradiction_clause,[],[f12242]) ).
thf(f12336,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= X0 )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f28]) ).
thf(f12338,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( X0 = X1 )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f36]) ).
thf(f12339,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f60]) ).
thf(f12348,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( X0 = X1 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f12338]) ).
thf(f12353,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( s @ X1 )
= X0 )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f12336]) ).
thf(f12355,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f12339]) ).
thf(f12417,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_140 ),
inference(constrained_superposition,[],[f409,f5553]) ).
thf(f12420,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_140 ),
inference(constrained_superposition,[],[f31,f5553]) ).
thf(f12421,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_6
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f12417]) ).
thf(f12422,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f12420]) ).
thf(f12483,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f5339,f34]) ).
thf(f12487,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f5339,f313]) ).
thf(f12488,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_134 ),
inference(constrained_superposition,[],[f5339,f171]) ).
thf(f12491,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f12483]) ).
thf(f12492,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f12488]) ).
thf(f12494,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f12487]) ).
thf(f12497,plain,
( $false
| ~ spl0_11
| ~ spl0_134
| ~ spl0_158 ),
inference(forward_subsumption_resolution,[],[f12492,f5986]) ).
thf(f12498,plain,
( ~ spl0_11
| ~ spl0_134
| ~ spl0_158 ),
inference(avatar_contradiction_clause,[],[f12497]) ).
thf(f12525,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_182 ),
inference(constrained_superposition,[],[f31,f7669]) ).
thf(f12529,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f12525]) ).
thf(f12552,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f81,f34]) ).
thf(f12555,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f81,f312]) ).
thf(f12561,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f12552]) ).
thf(f12567,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f12555]) ).
thf(f12647,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f159,f28]) ).
thf(f12648,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f159,f35]) ).
thf(f12649,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f12647]) ).
thf(f12650,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f12648]) ).
thf(f12652,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( z
= ( s @ X1 ) )
| ( ( s @ X0 )
= z )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f12649,f36]) ).
thf(f12655,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f12649,f312]) ).
thf(f12658,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f12649,f313]) ).
thf(f12663,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f12655]) ).
thf(f12664,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f12658]) ).
thf(f12670,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( z
= ( s @ X1 ) )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( X0 = X1 )
| ( ( s @ X0 )
= z ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f12652]) ).
thf(f12674,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ X1 ) )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( X0 = X1 ) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f12670,f29]) ).
thf(f12678,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f12674,f29]) ).
thf(f12683,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_254 ),
inference(constrained_superposition,[],[f11870,f28]) ).
thf(f12686,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f12683]) ).
thf(f12687,plain,
( spl0_144
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f12686,f11484,f5709]) ).
thf(f12705,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_28
| ~ spl0_103 ),
inference(constrained_superposition,[],[f1402,f5094]) ).
thf(f12720,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_28
| ~ spl0_103 ),
inference(trivial_inequality_removal,[],[f12705]) ).
thf(f12721,plain,
( $false
| spl0_28
| spl0_33
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[],[f12720,f5684]) ).
thf(f12722,plain,
( spl0_28
| spl0_33
| ~ spl0_103 ),
inference(avatar_contradiction_clause,[],[f12721]) ).
thf(f12771,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_144 ),
inference(constrained_superposition,[],[f132,f5710]) ).
thf(f12784,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( z = X0 )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f12771]) ).
thf(f12844,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X1 )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f12650,f28]) ).
thf(f12852,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( r @ X1 @ z )
= $true )
| ( ( s @ X0 )
= X1 )
| ( z = X1 ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f12844]) ).
thf(f12858,plain,
( spl0_246
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f12852,f158,f10811]) ).
thf(f12990,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= X0 )
| ( $true != $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f12353,f28]) ).
thf(f12992,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f12990]) ).
thf(f13091,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_127
| ~ spl0_194 ),
inference(constrained_superposition,[],[f7812,f5312]) ).
thf(f13097,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_127
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f13091]) ).
thf(f13105,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_127
| ~ spl0_140
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f13097,f12421]) ).
thf(f13108,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_127
| ~ spl0_140
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f13105,f29]) ).
thf(f13110,plain,
( spl0_207
| ~ spl0_6
| ~ spl0_127
| ~ spl0_140
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f13108,f7811,f5552,f5311,f87,f8792]) ).
thf(f13262,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f132,f585]) ).
thf(f13263,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f31,f585]) ).
thf(f13264,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f13262]) ).
thf(f13267,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f13263]) ).
thf(f13318,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f132,f1094]) ).
thf(f13319,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f31,f1094]) ).
thf(f13321,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f13319]) ).
thf(f13326,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f13318]) ).
thf(f13331,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f13321,f61]) ).
thf(f13340,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f13331]) ).
thf(f13359,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_10
| ~ spl0_182 ),
inference(constrained_superposition,[],[f12529,f12678]) ).
thf(f13368,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= X0 )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f132,f12678]) ).
thf(f13373,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_10
| ~ spl0_140 ),
inference(constrained_superposition,[],[f12422,f12678]) ).
thf(f13374,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_10
| ~ spl0_148 ),
inference(constrained_superposition,[],[f12127,f12678]) ).
thf(f13386,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_10
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f13373]) ).
thf(f13390,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_10
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f13374]) ).
thf(f13391,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f13368]) ).
thf(f13393,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_10
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f13359]) ).
thf(f13404,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f13386,f409]) ).
thf(f13406,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_140
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f13390,f12421]) ).
thf(f13407,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f13391,f409]) ).
thf(f13410,definition,
( spl0_264
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_264])],[avatar_definition]) ).
thf(f13411,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_264 ),
inference(avatar_component_clause,[],[f13410]) ).
thf(f13412,plain,
( spl0_191
| spl0_264
| ~ spl0_10
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f13393,f7668,f158,f13410,f7799]) ).
thf(f13416,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f13404,f12421]) ).
thf(f13418,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f13407,f416]) ).
thf(f13422,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_140 ),
inference(constrained_superposition,[],[f13416,f61]) ).
thf(f13427,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f13422]) ).
thf(f13438,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_31
| ~ spl0_140 ),
inference(constrained_superposition,[],[f568,f13427]) ).
thf(f13449,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_31
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f13438]) ).
thf(f13463,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_31
| ~ spl0_140
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[],[f13449,f10871]) ).
thf(f13482,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_6
| ~ spl0_10 ),
inference(constrained_superposition,[],[f13418,f61]) ).
thf(f13490,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_6
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f13482]) ).
thf(f13517,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_31
| ~ spl0_140
| ~ spl0_247 ),
inference(constrained_superposition,[],[f31,f13463]) ).
thf(f13519,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_31
| ~ spl0_140
| ~ spl0_247 ),
inference(trivial_inequality_removal,[],[f13517]) ).
thf(f13573,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_140
| ~ spl0_148 ),
inference(constrained_superposition,[],[f13406,f12678]) ).
thf(f13584,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_140
| ~ spl0_148 ),
inference(duplicate_literal_removal,[],[f13573]) ).
thf(f13585,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_140
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f13584]) ).
thf(f13587,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_6
| ~ spl0_10
| spl0_33
| ~ spl0_140
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f13585,f5684]) ).
thf(f13595,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_6
| ~ spl0_10
| spl0_33
| ~ spl0_140
| ~ spl0_148 ),
inference(constrained_superposition,[],[f31,f13587]) ).
thf(f13605,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_6
| ~ spl0_10
| spl0_33
| ~ spl0_140
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f13595]) ).
thf(f13799,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f31,f633]) ).
thf(f13809,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f13799]) ).
thf(f14330,definition,
( spl0_269
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).
thf(f14331,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_269 ),
inference(avatar_component_clause,[],[f14330]) ).
thf(f14345,definition,
( spl0_271
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_271])],[avatar_definition]) ).
thf(f14346,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_271 ),
inference(avatar_component_clause,[],[f14345]) ).
thf(f14361,definition,
( spl0_274
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_274])],[avatar_definition]) ).
thf(f14362,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_274 ),
inference(avatar_component_clause,[],[f14361]) ).
thf(f14371,definition,
( spl0_275
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).
thf(f14372,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_275 ),
inference(avatar_component_clause,[],[f14371]) ).
thf(f14376,definition,
( spl0_276
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_276])],[avatar_definition]) ).
thf(f14377,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_276 ),
inference(avatar_component_clause,[],[f14376]) ).
thf(f14390,definition,
( spl0_277
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_277])],[avatar_definition]) ).
thf(f14391,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_277 ),
inference(avatar_component_clause,[],[f14390]) ).
thf(f14415,definition,
( spl0_280
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_280])],[avatar_definition]) ).
thf(f14416,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_280 ),
inference(avatar_component_clause,[],[f14415]) ).
thf(f14426,definition,
( spl0_281
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_281])],[avatar_definition]) ).
thf(f14427,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_281 ),
inference(avatar_component_clause,[],[f14426]) ).
thf(f14989,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_131
| ~ spl0_230 ),
inference(constrained_superposition,[],[f9982,f5326]) ).
thf(f14990,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_182
| ~ spl0_230 ),
inference(constrained_superposition,[],[f9982,f7669]) ).
thf(f14999,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_182
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f14990]) ).
thf(f15019,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_131
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f14989]) ).
thf(f15024,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_182
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f14999,f29]) ).
thf(f15038,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_131
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f15019,f27]) ).
thf(f15042,plain,
( spl0_207
| spl0_197
| spl0_201
| ~ spl0_182
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f15024,f9981,f7668,f8146,f7929,f8792]) ).
thf(f15048,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_131
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f15038,f29]) ).
thf(f15053,plain,
( spl0_152
| spl0_126
| ~ spl0_131
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f15048,f9981,f5325,f5308,f5832]) ).
thf(f15336,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ ( s @ z ) ) )
| spl0_152 ),
inference(avatar_component_clause,[],[f5832]) ).
thf(f15346,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_10
| spl0_152 ),
inference(extensionality_resolution,[],[f12678,f15336]) ).
thf(f15347,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_10
| spl0_152 ),
inference(extensionality_resolution,[],[f12678,f15336]) ).
thf(f15348,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| spl0_152 ),
inference(extensionality_resolution,[],[f12348,f15336]) ).
thf(f15350,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_152 ),
inference(extensionality_resolution,[],[f62,f15336]) ).
thf(f15354,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_152 ),
inference(extensionality_resolution,[],[f36,f15336]) ).
thf(f15355,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_152 ),
inference(extensionality_resolution,[],[f36,f15336]) ).
thf(f15366,definition,
( spl0_310
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_310])],[avatar_definition]) ).
thf(f15367,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_310 ),
inference(avatar_component_clause,[],[f15366]) ).
thf(f15369,definition,
( spl0_311
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_311])],[avatar_definition]) ).
thf(f15370,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_311 ),
inference(avatar_component_clause,[],[f15369]) ).
thf(f15371,plain,
( spl0_310
| spl0_311
| spl0_152 ),
inference(avatar_split_clause,[],[f15350,f5832,f15369,f15366]) ).
thf(f15409,definition,
( spl0_313
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_313])],[avatar_definition]) ).
thf(f15410,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_313 ),
inference(avatar_component_clause,[],[f15409]) ).
thf(f15415,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f7694]) ).
thf(f15424,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_188 ),
inference(constrained_superposition,[],[f132,f15415]) ).
thf(f15430,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f15424]) ).
thf(f15437,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_6
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[],[f15430,f88]) ).
thf(f15439,plain,
( spl0_202
| ~ spl0_6
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f15437,f7694,f87,f8166]) ).
thf(f15491,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_182
| ~ spl0_191 ),
inference(constrained_superposition,[],[f12529,f7800]) ).
thf(f15505,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_182
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f15491]) ).
thf(f15513,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f42,f8167]) ).
thf(f15514,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_31
| ~ spl0_202 ),
inference(constrained_superposition,[],[f568,f8167]) ).
thf(f15528,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_31
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f15514]) ).
thf(f15529,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f15513]) ).
thf(f15717,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_31
| ~ spl0_140
| ~ spl0_247
| ~ spl0_310 ),
inference(constrained_superposition,[],[f13519,f15367]) ).
thf(f15724,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_310 ),
inference(constrained_superposition,[],[f132,f15367]) ).
thf(f15736,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_10
| ~ spl0_31
| ~ spl0_140
| ~ spl0_247
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f15717]) ).
thf(f15738,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f15724]) ).
thf(f15742,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_147 ),
inference(avatar_component_clause,[],[f5783]) ).
thf(f15743,plain,
( spl0_209
| ~ spl0_147
| ~ spl0_6
| ~ spl0_10
| ~ spl0_31
| ~ spl0_140
| ~ spl0_247
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f15736,f15366,f10870,f5552,f567,f158,f87,f5783,f8910]) ).
thf(f15747,definition,
( spl0_315
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_315])],[avatar_definition]) ).
thf(f15748,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_315 ),
inference(avatar_component_clause,[],[f15747]) ).
thf(f15749,plain,
( ~ spl0_315
| spl0_168
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f15738,f15366,f6640,f15747]) ).
thf(f15754,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_38
| spl0_147 ),
inference(constrained_superposition,[],[f15742,f633]) ).
thf(f15776,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_38
| spl0_147 ),
inference(trivial_inequality_removal,[],[f15754]) ).
thf(f15786,plain,
( $false
| ~ spl0_38
| spl0_133
| spl0_147 ),
inference(forward_subsumption_resolution,[],[f15776,f9089]) ).
thf(f15787,plain,
( ~ spl0_38
| spl0_133
| spl0_147 ),
inference(avatar_contradiction_clause,[],[f15786]) ).
thf(f15802,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_147
| ~ spl0_214 ),
inference(constrained_superposition,[],[f9106,f5784]) ).
thf(f15809,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_147 ),
inference(constrained_superposition,[],[f31,f5784]) ).
thf(f15813,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_147
| ~ spl0_214 ),
inference(trivial_inequality_removal,[],[f15802]) ).
thf(f15816,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f15809]) ).
thf(f15818,plain,
( spl0_280
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f15816,f5783,f14415]) ).
thf(f15823,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_134
| ~ spl0_311 ),
inference(constrained_superposition,[],[f5339,f15370]) ).
thf(f15836,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_134
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f15823]) ).
thf(f15864,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_134
| ~ spl0_311 ),
inference(constrained_superposition,[],[f15836,f36]) ).
thf(f15868,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_134
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f15864]) ).
thf(f15870,definition,
( spl0_317
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_317])],[avatar_definition]) ).
thf(f15871,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_317 ),
inference(avatar_component_clause,[],[f15870]) ).
thf(f15874,plain,
( spl0_317
| spl0_139
| ~ spl0_134
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f15868,f15369,f5338,f5549,f15870]) ).
thf(f15883,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_10
| spl0_33
| ~ spl0_140
| ~ spl0_148
| ~ spl0_317 ),
inference(constrained_superposition,[],[f13605,f15871]) ).
thf(f15894,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_10
| spl0_33
| ~ spl0_140
| ~ spl0_148
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f15883]) ).
thf(f15912,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_10
| spl0_33
| ~ spl0_119
| ~ spl0_140
| ~ spl0_148
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f15894,f5192]) ).
thf(f15926,plain,
( spl0_128
| spl0_209
| ~ spl0_6
| ~ spl0_10
| spl0_33
| ~ spl0_119
| ~ spl0_140
| ~ spl0_148
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f15912,f15870,f5788,f5552,f5191,f574,f158,f87,f8910,f5314]) ).
thf(f15933,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f13326,f416]) ).
thf(f15934,plain,
( ~ spl0_247
| spl0_131
| ~ spl0_31
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f11839,f5985,f567,f5325,f10870]) ).
thf(f15935,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_6
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f13340,f416]) ).
thf(f15937,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f13264,f409]) ).
thf(f15944,plain,
( spl0_135
| ~ spl0_247
| spl0_120
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f11842,f5985,f5194,f10870,f5341]) ).
thf(f15945,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| spl0_94 ),
inference(avatar_component_clause,[],[f5038]) ).
thf(f15947,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_35 ),
inference(avatar_component_clause,[],[f581]) ).
thf(f15957,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f1001]) ).
thf(f15958,plain,
( spl0_32
| spl0_45
| spl0_49
| spl0_39 ),
inference(avatar_split_clause,[],[f5177,f652,f1001,f751,f570]) ).
thf(f15984,plain,
( spl0_121
| spl0_122
| spl0_152 ),
inference(avatar_split_clause,[],[f15355,f5832,f5202,f5199]) ).
thf(f15989,plain,
( ~ spl0_35
| ~ spl0_182
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f15505,f7799,f7668,f581]) ).
thf(f15995,plain,
( spl0_95
| spl0_94
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f15529,f8166,f5038,f5052]) ).
thf(f16000,definition,
( spl0_324
<=> ! [X2: $i,X1: $i] :
( ( $true
= ( r @ X2 @ ( s @ z ) ) )
| ( ( s @ z )
= X2 )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_324])],[avatar_definition]) ).
thf(f16001,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ X2 @ ( s @ z ) ) )
| ( ( s @ z )
= X2 )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_324 ),
inference(avatar_component_clause,[],[f16000]) ).
thf(f16010,definition,
( spl0_326
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_326])],[avatar_definition]) ).
thf(f16011,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_326 ),
inference(avatar_component_clause,[],[f16010]) ).
thf(f16012,plain,
( ~ spl0_326
| spl0_133
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f12491,f5338,f5334,f16010]) ).
thf(f16014,plain,
( ~ spl0_7
| spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f12561,f80,f112,f109]) ).
thf(f16026,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_274 ),
inference(avatar_component_clause,[],[f14361]) ).
thf(f16027,plain,
( spl0_148
| ~ spl0_274
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f12494,f5338,f14361,f5788]) ).
thf(f16035,plain,
( ~ spl0_28
| ~ spl0_147
| ~ spl0_214 ),
inference(avatar_split_clause,[],[f15813,f9105,f5783,f553]) ).
thf(f16038,definition,
( spl0_329
<=> ! [X0: $i] :
( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_329])],[avatar_definition]) ).
thf(f16039,plain,
( ! [X0: $i] :
( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_329 ),
inference(avatar_component_clause,[],[f16038]) ).
thf(f16040,plain,
( spl0_329
| ~ spl0_49
| ~ spl0_6
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f15933,f1093,f87,f1001,f16038]) ).
thf(f16041,plain,
( ~ spl0_28
| spl0_329
| ~ spl0_6
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f15935,f1093,f87,f16038,f553]) ).
thf(f16043,definition,
( spl0_330
<=> ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_330])],[avatar_definition]) ).
thf(f16044,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ~ spl0_330 ),
inference(avatar_component_clause,[],[f16043]) ).
thf(f16045,plain,
( spl0_247
| spl0_330
| ~ spl0_6
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f15937,f584,f87,f16043,f10870]) ).
thf(f16084,plain,
( spl0_118
| spl0_117
| spl0_152 ),
inference(avatar_split_clause,[],[f15354,f5832,f5184,f5187]) ).
thf(f16085,plain,
( ~ spl0_247
| spl0_182
| ~ spl0_31
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f15528,f8166,f567,f7668,f10870]) ).
thf(f16097,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f31,f554]) ).
thf(f16101,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f16097]) ).
thf(f16103,plain,
( spl0_275
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f16101,f553,f14371]) ).
thf(f16124,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_6
| ~ spl0_10
| spl0_247 ),
inference(constrained_superposition,[],[f11759,f13490]) ).
thf(f16129,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_10
| spl0_247 ),
inference(trivial_inequality_removal,[],[f16124]) ).
thf(f16130,plain,
( spl0_184
| ~ spl0_6
| ~ spl0_10
| spl0_247 ),
inference(avatar_split_clause,[],[f16129,f10870,f158,f87,f7675]) ).
thf(f16131,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_326 ),
inference(constrained_superposition,[],[f16011,f34]) ).
thf(f16133,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_326 ),
inference(trivial_inequality_removal,[],[f16131]) ).
thf(f16144,plain,
( ! [X1: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_329 ),
inference(constrained_superposition,[],[f42,f16039]) ).
thf(f16148,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_134
| ~ spl0_329 ),
inference(constrained_superposition,[],[f5339,f16039]) ).
thf(f16164,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_134
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f16148]) ).
thf(f16168,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f16144]) ).
thf(f16171,plain,
( $false
| ~ spl0_134
| ~ spl0_158
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f16164,f5986]) ).
thf(f16172,plain,
( ~ spl0_134
| ~ spl0_158
| ~ spl0_329 ),
inference(avatar_contradiction_clause,[],[f16171]) ).
thf(f16173,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| spl0_94
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f16168,f15945]) ).
thf(f16174,plain,
( spl0_95
| spl0_94
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f16173,f16038,f5038,f5052]) ).
thf(f16175,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_330 ),
inference(constrained_superposition,[],[f16044,f61]) ).
thf(f16178,plain,
( ! [X0: $i] :
( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f16175]) ).
thf(f16222,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| spl0_274 ),
inference(constrained_superposition,[],[f16026,f62]) ).
thf(f16228,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ z ) )
| spl0_274 ),
inference(trivial_inequality_removal,[],[f16222]) ).
thf(f16233,plain,
( ( z
= ( s @ z ) )
| spl0_120
| spl0_274 ),
inference(forward_subsumption_resolution,[],[f16228,f9142]) ).
thf(f16238,plain,
( $false
| spl0_120
| spl0_274 ),
inference(forward_subsumption_resolution,[],[f16233,f29]) ).
thf(f16239,plain,
( spl0_120
| spl0_274 ),
inference(avatar_contradiction_clause,[],[f16238]) ).
thf(f16374,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_52
| ~ spl0_275 ),
inference(constrained_superposition,[],[f14372,f1094]) ).
thf(f16379,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_52
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f16374]) ).
thf(f16395,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_38
| ~ spl0_117 ),
inference(constrained_superposition,[],[f13809,f5185]) ).
thf(f16396,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_36
| ~ spl0_117 ),
inference(constrained_superposition,[],[f13267,f5185]) ).
thf(f16397,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_117
| ~ spl0_153 ),
inference(constrained_superposition,[],[f5836,f5185]) ).
thf(f16403,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_117 ),
inference(constrained_superposition,[],[f31,f5185]) ).
thf(f16404,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f16403]) ).
thf(f16405,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_117
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f16397]) ).
thf(f16408,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_38
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f16395]) ).
thf(f16410,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_36
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f16396]) ).
thf(f16413,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_117
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f16405,f29]) ).
thf(f16416,plain,
( spl0_126
| spl0_127
| ~ spl0_117
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f16413,f5835,f5184,f5311,f5308]) ).
thf(f16427,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_121 ),
inference(constrained_superposition,[],[f31,f5200]) ).
thf(f16429,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f16427]) ).
thf(f16468,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_10
| spl0_235 ),
inference(constrained_superposition,[],[f10247,f12678]) ).
thf(f16470,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_10
| spl0_235 ),
inference(trivial_inequality_removal,[],[f16468]) ).
thf(f16481,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_271 ),
inference(constrained_superposition,[],[f14346,f28]) ).
thf(f16498,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_271 ),
inference(trivial_inequality_removal,[],[f16481]) ).
thf(f16502,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_150 ),
inference(constrained_superposition,[],[f5797,f34]) ).
thf(f16505,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_150 ),
inference(constrained_superposition,[],[f5797,f313]) ).
thf(f16511,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f16502]) ).
thf(f16513,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f16505]) ).
thf(f16517,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_133
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f16511,f9089]) ).
thf(f16518,plain,
( ~ spl0_7
| spl0_133
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f16517,f5796,f5334,f109]) ).
thf(f16602,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f312,f7930]) ).
thf(f16746,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f16602,f26]) ).
thf(f16771,plain,
( $false
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f16746,f30]) ).
thf(f16772,plain,
~ spl0_197,
inference(avatar_contradiction_clause,[],[f16771]) ).
thf(f16780,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_36
| ~ spl0_310 ),
inference(constrained_superposition,[],[f13267,f15367]) ).
thf(f16783,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_310 ),
inference(constrained_superposition,[],[f31,f15367]) ).
thf(f16784,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_36
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f16780]) ).
thf(f16789,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f16783]) ).
thf(f16834,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_117
| ~ spl0_280 ),
inference(constrained_superposition,[],[f14416,f5185]) ).
thf(f16841,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_117
| ~ spl0_280 ),
inference(trivial_inequality_removal,[],[f16834]) ).
thf(f16862,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_38
| ~ spl0_117 ),
inference(constrained_superposition,[],[f16404,f633]) ).
thf(f16881,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_38
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f16862]) ).
thf(f16902,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_121
| ~ spl0_310 ),
inference(constrained_superposition,[],[f16429,f15367]) ).
thf(f16905,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_77
| ~ spl0_121 ),
inference(constrained_superposition,[],[f16429,f4905]) ).
thf(f16908,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_77
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f16905]) ).
thf(f16911,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_121
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f16902]) ).
thf(f16917,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_10
| ~ spl0_52
| ~ spl0_275 ),
inference(constrained_superposition,[],[f16379,f12678]) ).
thf(f16922,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_10
| ~ spl0_52
| ~ spl0_275 ),
inference(duplicate_literal_removal,[],[f16917]) ).
thf(f16923,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_10
| ~ spl0_52
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f16922]) ).
thf(f16948,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_313
| ~ spl0_329 ),
inference(constrained_superposition,[],[f15410,f16039]) ).
thf(f16955,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_313
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f16948]) ).
thf(f16963,plain,
( $false
| ~ spl0_313
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f16955,f16039]) ).
thf(f16964,plain,
( ~ spl0_313
| ~ spl0_329 ),
inference(avatar_contradiction_clause,[],[f16963]) ).
thf(f17132,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_13
| ~ spl0_52
| ~ spl0_275 ),
inference(constrained_superposition,[],[f16379,f236]) ).
thf(f17154,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_13
| ~ spl0_52
| ~ spl0_275 ),
inference(duplicate_literal_removal,[],[f17132]) ).
thf(f17155,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_13
| ~ spl0_52
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f17154]) ).
thf(f17161,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_13
| ~ spl0_52
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f17155,f29]) ).
thf(f17165,plain,
( spl0_105
| ~ spl0_13
| ~ spl0_52
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f17161,f14371,f1093,f235,f5101]) ).
thf(f17382,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X1 ) )
| ~ spl0_324 ),
inference(constrained_superposition,[],[f16001,f28]) ).
thf(f17387,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f17382]) ).
thf(f17522,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_148 ),
inference(avatar_component_clause,[],[f5788]) ).
thf(f17904,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_324 ),
inference(constrained_superposition,[],[f17387,f34]) ).
thf(f17915,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f17904]) ).
thf(f17932,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_271 ),
inference(constrained_superposition,[],[f16498,f34]) ).
thf(f17938,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_271 ),
inference(trivial_inequality_removal,[],[f17932]) ).
thf(f18032,plain,
( ( $true != $true )
| ~ spl0_54
| spl0_120 ),
inference(constrained_superposition,[],[f9142,f1104]) ).
thf(f18060,plain,
( $false
| ~ spl0_54
| spl0_120 ),
inference(trivial_inequality_removal,[],[f18032]) ).
thf(f18061,plain,
( ~ spl0_54
| spl0_120 ),
inference(avatar_contradiction_clause,[],[f18060]) ).
thf(f18329,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_116
| spl0_131 ),
inference(constrained_superposition,[],[f6044,f5169]) ).
thf(f18353,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_116
| spl0_131 ),
inference(trivial_inequality_removal,[],[f18329]) ).
thf(f18370,plain,
( $false
| spl0_41
| ~ spl0_116
| spl0_131 ),
inference(forward_subsumption_resolution,[],[f18353,f9095]) ).
thf(f18371,plain,
( spl0_41
| ~ spl0_116
| spl0_131 ),
inference(avatar_contradiction_clause,[],[f18370]) ).
thf(f18568,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_164
| ~ spl0_310 ),
inference(constrained_superposition,[],[f16789,f6168]) ).
thf(f18596,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_164
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f18568]) ).
thf(f18610,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_121
| ~ spl0_164
| ~ spl0_310 ),
inference(forward_subsumption_resolution,[],[f18596,f5200]) ).
thf(f18617,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_121
| ~ spl0_164
| ~ spl0_310
| ~ spl0_330 ),
inference(forward_subsumption_resolution,[],[f18610,f16044]) ).
thf(f18620,plain,
( spl0_237
| spl0_201
| ~ spl0_121
| ~ spl0_164
| ~ spl0_310
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f18617,f16043,f15366,f6167,f5199,f8146,f10259]) ).
thf(f18654,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_201 ),
inference(constrained_superposition,[],[f60,f8147]) ).
thf(f18838,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f18654,f26]) ).
thf(f18884,plain,
( $false
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f18838,f30]) ).
thf(f18885,plain,
~ spl0_201,
inference(avatar_contradiction_clause,[],[f18884]) ).
thf(f19006,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_163
| ~ spl0_237 ),
inference(constrained_superposition,[],[f12022,f10260]) ).
thf(f19048,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_163
| ~ spl0_237 ),
inference(forward_subsumption_resolution,[],[f19006,f26]) ).
thf(f19050,plain,
( ~ spl0_143
| spl0_139
| ~ spl0_163
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f19048,f10259,f6163,f5549,f5667]) ).
thf(f19054,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_35
| ~ spl0_271 ),
inference(forward_subsumption_resolution,[],[f17938,f15947]) ).
thf(f19062,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_77
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[],[f16908,f29]) ).
thf(f19065,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_182 ),
inference(avatar_component_clause,[],[f7668]) ).
thf(f19069,plain,
( ~ spl0_120
| spl0_133
| ~ spl0_38
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f16881,f5184,f632,f5334,f5194]) ).
thf(f19076,plain,
( spl0_137
| spl0_326 ),
inference(avatar_split_clause,[],[f16133,f16010,f5349]) ).
thf(f19077,plain,
( ~ spl0_131
| ~ spl0_117
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f16841,f14415,f5184,f5325]) ).
thf(f19078,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_196 ),
inference(avatar_component_clause,[],[f7926]) ).
thf(f19080,plain,
( spl0_136
| ~ spl0_131
| ~ spl0_36
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f16410,f5184,f584,f5325,f5346]) ).
thf(f19089,plain,
( spl0_133
| ~ spl0_131
| ~ spl0_38
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f16408,f5184,f632,f5325,f5334]) ).
thf(f19106,plain,
( spl0_139
| spl0_119
| spl0_191
| ~ spl0_10
| spl0_235 ),
inference(avatar_split_clause,[],[f16470,f10246,f158,f7799,f5191,f5549]) ).
thf(f19109,plain,
( spl0_191
| ~ spl0_147
| ~ spl0_36
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f16784,f15366,f584,f5783,f7799]) ).
thf(f19110,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_35
| ~ spl0_271 ),
inference(forward_subsumption_resolution,[],[f19054,f29]) ).
thf(f19111,plain,
( ~ spl0_131
| spl0_136
| spl0_139
| ~ spl0_77
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f19062,f5199,f4904,f5549,f5346,f5325]) ).
thf(f19117,plain,
( spl0_137
| spl0_35
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f19110,f14345,f581,f5349]) ).
thf(f19119,plain,
( ~ spl0_235
| ~ spl0_121
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f16911,f15366,f5199,f10246]) ).
thf(f19130,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_133 ),
inference(constrained_superposition,[],[f132,f5335]) ).
thf(f19137,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f19130]) ).
thf(f19181,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_120
| ~ spl0_275 ),
inference(constrained_superposition,[],[f14372,f5195]) ).
thf(f19188,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_120
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f19181]) ).
thf(f19195,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f132,f5326]) ).
thf(f19199,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f19195]) ).
thf(f19215,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_191
| ~ spl0_310 ),
inference(constrained_superposition,[],[f16789,f7800]) ).
thf(f19220,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_191
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f19215]) ).
thf(f19225,plain,
( $false
| ~ spl0_133
| ~ spl0_191
| ~ spl0_310 ),
inference(forward_subsumption_resolution,[],[f19220,f5335]) ).
thf(f19226,plain,
( ~ spl0_133
| ~ spl0_191
| ~ spl0_310 ),
inference(avatar_contradiction_clause,[],[f19225]) ).
thf(f19252,plain,
( spl0_119
| ~ spl0_123
| spl0_117
| ~ spl0_2
| spl0_152 ),
inference(avatar_split_clause,[],[f15348,f5832,f53,f5184,f5296,f5191]) ).
thf(f19265,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_10
| ~ spl0_52
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f16923,f29]) ).
thf(f19266,plain,
( ~ spl0_6
| spl0_168
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f19137,f5334,f6640,f87]) ).
thf(f19272,plain,
( $false
| ~ spl0_161
| ~ spl0_330 ),
inference(forward_subsumption_resolution,[],[f6090,f16044]) ).
thf(f19273,plain,
( ~ spl0_161
| ~ spl0_330 ),
inference(avatar_contradiction_clause,[],[f19272]) ).
thf(f19283,plain,
( ~ spl0_41
| ~ spl0_120
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f19188,f14371,f5194,f701]) ).
thf(f19295,plain,
( spl0_6
| spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f12355,f53,f84,f87]) ).
thf(f19305,plain,
( spl0_329
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f16178,f16043,f16038]) ).
thf(f19307,plain,
( spl0_148
| ~ spl0_57
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f16513,f5796,f1113,f5788]) ).
thf(f19330,definition,
( spl0_373
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_373])],[avatar_definition]) ).
thf(f19331,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_373 ),
inference(avatar_component_clause,[],[f19330]) ).
thf(f19332,plain,
( spl0_6
| spl0_373
| ~ spl0_10
| ~ spl0_52
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f19265,f14371,f1093,f158,f19330,f87]) ).
thf(f19369,plain,
( spl0_27
| spl0_28
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f12567,f80,f553,f550]) ).
thf(f19378,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_324 ),
inference(forward_subsumption_resolution,[],[f17915,f29]) ).
thf(f19391,plain,
( spl0_247
| ~ spl0_161
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f19199,f5325,f6089,f10870]) ).
thf(f19396,definition,
( spl0_383
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_383])],[avatar_definition]) ).
thf(f19397,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_383 ),
inference(avatar_component_clause,[],[f19396]) ).
thf(f19398,plain,
( spl0_247
| spl0_383
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f12784,f5709,f19396,f10870]) ).
thf(f19411,plain,
( spl0_94
| spl0_97
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f19378,f16000,f5065,f5038]) ).
thf(f19437,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f31,f575]) ).
thf(f19438,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f19437]) ).
thf(f19442,plain,
( spl0_269
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f19438,f574,f14330]) ).
thf(f19446,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f31,f582]) ).
thf(f19449,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f19446]) ).
thf(f19451,plain,
( spl0_276
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f19449,f581,f14376]) ).
thf(f19490,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_247 ),
inference(constrained_superposition,[],[f42,f10871]) ).
thf(f19494,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X1 )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_247 ),
inference(constrained_superposition,[],[f40,f10871]) ).
thf(f19501,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_247 ),
inference(trivial_inequality_removal,[],[f19490]) ).
thf(f19506,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_247 ),
inference(trivial_inequality_removal,[],[f19494]) ).
thf(f19508,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| spl0_94
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[],[f19501,f15945]) ).
thf(f19510,plain,
( spl0_324
| ~ spl0_247 ),
inference(avatar_split_clause,[],[f19506,f10870,f16000]) ).
thf(f19512,plain,
( spl0_95
| spl0_94
| ~ spl0_247 ),
inference(avatar_split_clause,[],[f19508,f10870,f5038,f5052]) ).
thf(f19537,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_161 ),
inference(constrained_superposition,[],[f31,f6090]) ).
thf(f19544,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_161 ),
inference(trivial_inequality_removal,[],[f19537]) ).
thf(f19547,plain,
( spl0_277
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f19544,f6089,f14390]) ).
thf(f19562,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_10
| spl0_41 ),
inference(constrained_superposition,[],[f9095,f12678]) ).
thf(f19565,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_10
| spl0_41 ),
inference(trivial_inequality_removal,[],[f19562]) ).
thf(f19569,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) ) )
| ~ spl0_95 ),
inference(constrained_superposition,[],[f5053,f36]) ).
thf(f19573,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_95 ),
inference(trivial_inequality_removal,[],[f19569]) ).
thf(f19612,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_120
| ~ spl0_269 ),
inference(constrained_superposition,[],[f14331,f5195]) ).
thf(f19616,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_120
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f19612]) ).
thf(f19621,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_6
| ~ spl0_10
| spl0_41 ),
inference(forward_subsumption_resolution,[],[f19565,f172]) ).
thf(f19622,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_6
| ~ spl0_10
| spl0_41 ),
inference(forward_subsumption_resolution,[],[f19621,f29]) ).
thf(f19623,plain,
( spl0_119
| spl0_6
| ~ spl0_10
| spl0_41 ),
inference(avatar_split_clause,[],[f19622,f701,f158,f87,f5191]) ).
thf(f19630,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_120
| ~ spl0_246
| ~ spl0_269 ),
inference(constrained_superposition,[],[f19616,f10812]) ).
thf(f19636,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_120
| ~ spl0_246
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f19630]) ).
thf(f19641,plain,
( spl0_211
| ~ spl0_120
| ~ spl0_246
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f19636,f14330,f10811,f5194,f9067]) ).
thf(f19647,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_36
| ~ spl0_41 ),
inference(constrained_superposition,[],[f13267,f702]) ).
thf(f19648,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_41 ),
inference(constrained_superposition,[],[f31,f702]) ).
thf(f19649,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_36
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f19647]) ).
thf(f19650,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f19648]) ).
thf(f19651,plain,
( spl0_281
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f19650,f701,f14426]) ).
thf(f19654,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_276 ),
inference(constrained_superposition,[],[f14377,f61]) ).
thf(f19659,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f19654]) ).
thf(f19693,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_147
| ~ spl0_276 ),
inference(constrained_superposition,[],[f14377,f5784]) ).
thf(f19696,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_147
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f19693]) ).
thf(f19700,plain,
( $false
| ~ spl0_133
| ~ spl0_147
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[],[f19696,f5335]) ).
thf(f19701,plain,
( ~ spl0_133
| ~ spl0_147
| ~ spl0_276 ),
inference(avatar_contradiction_clause,[],[f19700]) ).
thf(f19703,plain,
( ~ spl0_94
| spl0_247
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f19659,f14376,f10870,f5038]) ).
thf(f19729,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_247 ),
inference(constrained_superposition,[],[f268,f10871]) ).
thf(f19733,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_247 ),
inference(constrained_superposition,[],[f25,f10871]) ).
thf(f19736,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X1 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_247 ),
inference(constrained_superposition,[],[f270,f10871]) ).
thf(f19738,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_247 ),
inference(trivial_inequality_removal,[],[f19736]) ).
thf(f19741,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_247 ),
inference(trivial_inequality_removal,[],[f19729]) ).
thf(f19746,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_247 ),
inference(trivial_inequality_removal,[],[f19733]) ).
thf(f19748,plain,
( spl0_44
| spl0_30
| ~ spl0_247 ),
inference(avatar_split_clause,[],[f19738,f10870,f563,f747]) ).
thf(f19749,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_35
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[],[f19741,f15947]) ).
thf(f19750,plain,
( spl0_32
| spl0_45
| ~ spl0_247 ),
inference(avatar_split_clause,[],[f19746,f10870,f751,f570]) ).
thf(f19751,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_6
| spl0_35
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[],[f19749,f172]) ).
thf(f19752,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_6
| spl0_35
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[],[f19751,f29]) ).
thf(f19753,plain,
( spl0_30
| spl0_6
| spl0_35
| ~ spl0_247 ),
inference(avatar_split_clause,[],[f19752,f10870,f581,f87,f563]) ).
thf(f19756,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f12664,f29]) ).
thf(f19757,plain,
( ~ spl0_49
| spl0_119
| ~ spl0_36
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f19649,f701,f584,f5191,f1001]) ).
thf(f19759,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f19756,f29]) ).
thf(f19761,plain,
( spl0_52
| spl0_33
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f19759,f158,f574,f1093]) ).
thf(f19809,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_373 ),
inference(constrained_superposition,[],[f31,f19331]) ).
thf(f19811,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_373 ),
inference(trivial_inequality_removal,[],[f19809]) ).
thf(f19953,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_148
| ~ spl0_269 ),
inference(constrained_superposition,[],[f14331,f5789]) ).
thf(f19958,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_148
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f19953]) ).
thf(f19959,plain,
( $false
| ~ spl0_136
| ~ spl0_148
| ~ spl0_269 ),
inference(forward_subsumption_resolution,[],[f19958,f5347]) ).
thf(f19960,plain,
( ~ spl0_136
| ~ spl0_148
| ~ spl0_269 ),
inference(avatar_contradiction_clause,[],[f19959]) ).
thf(f20058,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_118 ),
inference(constrained_superposition,[],[f42,f5188]) ).
thf(f20061,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_118 ),
inference(constrained_superposition,[],[f81,f5188]) ).
thf(f20063,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_118 ),
inference(constrained_superposition,[],[f25,f5188]) ).
thf(f20071,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_4
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f20061]) ).
thf(f20073,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f20063]) ).
thf(f20075,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_118 ),
inference(trivial_inequality_removal,[],[f20058]) ).
thf(f20081,plain,
( spl0_134
| spl0_135
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f20073,f5187,f5341,f5338]) ).
thf(f20087,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_122 ),
inference(constrained_superposition,[],[f81,f5203]) ).
thf(f20089,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_122 ),
inference(constrained_superposition,[],[f25,f5203]) ).
thf(f20099,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f20089]) ).
thf(f20102,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_4
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f20087]) ).
thf(f20107,plain,
( spl0_134
| spl0_151
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f20099,f5202,f5799,f5338]) ).
thf(f20124,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_118
| ~ spl0_163 ),
inference(constrained_superposition,[],[f6164,f5188]) ).
thf(f20134,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_118
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f20124]) ).
thf(f20136,plain,
( ~ spl0_129
| ~ spl0_118
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f20134,f6163,f5187,f5318]) ).
thf(f20154,plain,
( ~ spl0_129
| spl0_41
| ~ spl0_4
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f20071,f5187,f80,f701,f5318]) ).
thf(f20155,plain,
( spl0_127
| ~ spl0_143
| ~ spl0_4
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f20102,f5202,f80,f5667,f5311]) ).
thf(f20239,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_315 ),
inference(constrained_superposition,[],[f15748,f61]) ).
thf(f20244,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_315 ),
inference(trivial_inequality_removal,[],[f20239]) ).
thf(f20274,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_120
| ~ spl0_277 ),
inference(constrained_superposition,[],[f14391,f5195]) ).
thf(f20280,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_120
| ~ spl0_277 ),
inference(trivial_inequality_removal,[],[f20274]) ).
thf(f20284,plain,
( $false
| ~ spl0_49
| ~ spl0_120
| ~ spl0_277 ),
inference(forward_subsumption_resolution,[],[f20280,f15957]) ).
thf(f20285,plain,
( ~ spl0_49
| ~ spl0_120
| ~ spl0_277 ),
inference(avatar_contradiction_clause,[],[f20284]) ).
thf(f20294,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_131
| ~ spl0_281 ),
inference(constrained_superposition,[],[f14427,f5326]) ).
thf(f20296,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_131
| ~ spl0_281 ),
inference(trivial_inequality_removal,[],[f20294]) ).
thf(f20305,plain,
( $false
| ~ spl0_28
| ~ spl0_131
| ~ spl0_281 ),
inference(forward_subsumption_resolution,[],[f20296,f554]) ).
thf(f20306,plain,
( ~ spl0_28
| ~ spl0_131
| ~ spl0_281 ),
inference(avatar_contradiction_clause,[],[f20305]) ).
thf(f20411,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_196
| ~ spl0_275 ),
inference(constrained_superposition,[],[f14372,f7927]) ).
thf(f20414,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_196
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f20411]) ).
thf(f20417,plain,
( $false
| ~ spl0_183
| ~ spl0_196
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f20414,f7672]) ).
thf(f20418,plain,
( ~ spl0_183
| ~ spl0_196
| ~ spl0_275 ),
inference(avatar_contradiction_clause,[],[f20417]) ).
thf(f20463,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_310
| ~ spl0_373 ),
inference(constrained_superposition,[],[f19811,f15367]) ).
thf(f20472,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_310
| ~ spl0_373 ),
inference(trivial_inequality_removal,[],[f20463]) ).
thf(f20480,plain,
( spl0_202
| spl0_315 ),
inference(avatar_split_clause,[],[f20244,f15747,f8166]) ).
thf(f20484,plain,
( $false
| ~ spl0_310
| ~ spl0_373 ),
inference(forward_subsumption_resolution,[],[f20472,f19331]) ).
thf(f20485,plain,
( ~ spl0_310
| ~ spl0_373 ),
inference(avatar_contradiction_clause,[],[f20484]) ).
thf(f20486,plain,
( spl0_133
| spl0_132
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f20075,f5187,f5331,f5334]) ).
thf(f20541,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_10
| spl0_140 ),
inference(constrained_superposition,[],[f5983,f12678]) ).
thf(f20544,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_10
| spl0_140 ),
inference(trivial_inequality_removal,[],[f20541]) ).
thf(f20548,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_10
| spl0_131 ),
inference(constrained_superposition,[],[f6044,f12678]) ).
thf(f20550,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_10
| spl0_131 ),
inference(trivial_inequality_removal,[],[f20548]) ).
thf(f20561,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_168 ),
inference(constrained_superposition,[],[f54,f6641]) ).
thf(f20578,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f20561]) ).
thf(f20582,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_274 ),
inference(constrained_superposition,[],[f268,f14362]) ).
thf(f20588,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_274 ),
inference(constrained_superposition,[],[f25,f14362]) ).
thf(f20601,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f20582]) ).
thf(f20603,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f20588]) ).
thf(f20606,plain,
( spl0_271
| spl0_135
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f20603,f14361,f5341,f14345]) ).
thf(f20707,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_10
| ~ spl0_281 ),
inference(constrained_superposition,[],[f14427,f12678]) ).
thf(f20711,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_10
| ~ spl0_281 ),
inference(trivial_inequality_removal,[],[f20707]) ).
thf(f20720,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_317
| ~ spl0_373 ),
inference(constrained_superposition,[],[f19811,f15871]) ).
thf(f20724,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_317 ),
inference(constrained_superposition,[],[f132,f15871]) ).
thf(f20729,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_317
| ~ spl0_373 ),
inference(trivial_inequality_removal,[],[f20720]) ).
thf(f20730,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f20724]) ).
thf(f20733,plain,
( $false
| ~ spl0_119
| ~ spl0_317
| ~ spl0_373 ),
inference(forward_subsumption_resolution,[],[f20729,f5192]) ).
thf(f20734,plain,
( ~ spl0_119
| ~ spl0_317
| ~ spl0_373 ),
inference(avatar_contradiction_clause,[],[f20733]) ).
thf(f20735,plain,
( spl0_158
| ~ spl0_315
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f20730,f15870,f15747,f5985]) ).
thf(f20739,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_10
| spl0_140 ),
inference(forward_subsumption_resolution,[],[f20544,f29]) ).
thf(f20750,plain,
( ~ spl0_15
| spl0_136
| ~ spl0_2
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f20578,f6640,f53,f5346,f284]) ).
thf(f20753,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_6
| ~ spl0_10
| spl0_140 ),
inference(forward_subsumption_resolution,[],[f20739,f172]) ).
thf(f20757,plain,
( spl0_136
| spl0_6
| ~ spl0_10
| spl0_140 ),
inference(avatar_split_clause,[],[f20753,f5552,f158,f87,f5346]) ).
thf(f20767,plain,
( spl0_119
| spl0_136
| spl0_117
| ~ spl0_10
| spl0_152 ),
inference(avatar_split_clause,[],[f15346,f5832,f158,f5184,f5346,f5191]) ).
thf(f20771,plain,
( spl0_136
| spl0_121
| spl0_119
| ~ spl0_10
| spl0_152 ),
inference(avatar_split_clause,[],[f15347,f5832,f158,f5191,f5199,f5346]) ).
thf(f20773,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f12663,f29]) ).
thf(f20776,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f20601,f29]) ).
thf(f20779,definition,
( spl0_391
<=> ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_391])],[avatar_definition]) ).
thf(f20780,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_391 ),
inference(avatar_component_clause,[],[f20779]) ).
thf(f20781,plain,
( spl0_119
| spl0_391
| ~ spl0_10
| ~ spl0_281 ),
inference(avatar_split_clause,[],[f20711,f14426,f158,f20779,f5191]) ).
thf(f20782,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_10
| spl0_39
| spl0_131 ),
inference(forward_subsumption_resolution,[],[f20550,f4869]) ).
thf(f20788,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f20773,f29]) ).
thf(f20790,plain,
( spl0_137
| spl0_33
| spl0_124
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f20776,f14361,f5301,f574,f5349]) ).
thf(f20791,plain,
( spl0_119
| spl0_33
| ~ spl0_10
| spl0_39
| spl0_131 ),
inference(avatar_split_clause,[],[f20782,f5325,f652,f158,f574,f5191]) ).
thf(f20793,plain,
( spl0_33
| spl0_36
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f20788,f158,f584,f574]) ).
thf(f20819,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_136 ),
inference(constrained_superposition,[],[f31,f5347]) ).
thf(f20821,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f20819]) ).
thf(f20919,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_117
| ~ spl0_277 ),
inference(constrained_superposition,[],[f14391,f5185]) ).
thf(f20920,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_117 ),
inference(constrained_superposition,[],[f132,f5185]) ).
thf(f20921,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_117 ),
inference(constrained_superposition,[],[f31,f5185]) ).
thf(f20922,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f20920]) ).
thf(f20923,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f20921]) ).
thf(f20924,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_117
| ~ spl0_277 ),
inference(trivial_inequality_removal,[],[f20919]) ).
thf(f20925,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_121
| ~ spl0_281 ),
inference(constrained_superposition,[],[f14427,f5200]) ).
thf(f20930,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_121
| ~ spl0_281 ),
inference(trivial_inequality_removal,[],[f20925]) ).
thf(f20933,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_10
| ~ spl0_121
| ~ spl0_281 ),
inference(constrained_superposition,[],[f20930,f12678]) ).
thf(f20935,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_10
| ~ spl0_121
| ~ spl0_281 ),
inference(trivial_inequality_removal,[],[f20933]) ).
thf(f20945,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_117
| ~ spl0_136 ),
inference(constrained_superposition,[],[f20821,f5185]) ).
thf(f20948,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_117
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f20945]) ).
thf(f20954,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_117
| ~ spl0_136 ),
inference(constrained_superposition,[],[f20948,f12992]) ).
thf(f20959,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2
| ~ spl0_117
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f20954]) ).
thf(f20964,plain,
( spl0_162
| ~ spl0_2
| ~ spl0_117
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f20959,f5346,f5184,f53,f6128]) ).
thf(f21021,plain,
( ~ spl0_140
| spl0_158
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f20922,f5184,f5985,f5552]) ).
thf(f21022,plain,
( ~ spl0_140
| ~ spl0_117
| ~ spl0_277 ),
inference(avatar_split_clause,[],[f20924,f14390,f5184,f5552]) ).
thf(f21023,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_10
| ~ spl0_121
| ~ spl0_281 ),
inference(forward_subsumption_resolution,[],[f20935,f29]) ).
thf(f21025,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_6
| ~ spl0_10
| ~ spl0_121
| ~ spl0_281 ),
inference(forward_subsumption_resolution,[],[f21023,f172]) ).
thf(f21026,plain,
( spl0_136
| spl0_6
| ~ spl0_10
| ~ spl0_121
| ~ spl0_281 ),
inference(avatar_split_clause,[],[f21025,f14426,f5199,f158,f87,f5346]) ).
thf(f21028,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_119 ),
inference(constrained_superposition,[],[f31,f5192]) ).
thf(f21030,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f21028]) ).
thf(f21043,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_158 ),
inference(constrained_superposition,[],[f25,f5986]) ).
thf(f21046,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ z )
= X1 )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true ) )
| ~ spl0_158 ),
inference(constrained_superposition,[],[f270,f5986]) ).
thf(f21052,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X1 )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_158 ),
inference(trivial_inequality_removal,[],[f21046]) ).
thf(f21054,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_158 ),
inference(trivial_inequality_removal,[],[f21043]) ).
thf(f21061,plain,
( spl0_124
| spl0_164
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f21052,f5985,f6167,f5301]) ).
thf(f21062,plain,
( spl0_163
| spl0_135
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f21054,f5985,f5341,f6163]) ).
thf(f21097,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_202 ),
inference(constrained_superposition,[],[f54,f8167]) ).
thf(f21111,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f21097]) ).
thf(f21118,plain,
( spl0_191
| ~ spl0_15
| ~ spl0_2
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f21111,f8166,f53,f284,f7799]) ).
thf(f21135,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_119
| ~ spl0_121 ),
inference(constrained_superposition,[],[f21030,f5200]) ).
thf(f21136,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_119
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f21135]) ).
thf(f21231,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_311 ),
inference(constrained_superposition,[],[f1087,f15370]) ).
thf(f21232,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_311 ),
inference(constrained_superposition,[],[f81,f15370]) ).
thf(f21234,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_311 ),
inference(constrained_superposition,[],[f25,f15370]) ).
thf(f21239,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f21232]) ).
thf(f21242,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f21231]) ).
thf(f21243,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f21234]) ).
thf(f21252,definition,
( spl0_394
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_394])],[avatar_definition]) ).
thf(f21253,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_394 ),
inference(avatar_component_clause,[],[f21252]) ).
thf(f21254,plain,
( spl0_127
| ~ spl0_394
| ~ spl0_4
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f21239,f15369,f80,f21252,f5311]) ).
thf(f21255,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| spl0_148
| ~ spl0_311 ),
inference(forward_subsumption_resolution,[],[f21242,f17522]) ).
thf(f21256,plain,
( spl0_313
| spl0_151
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f21243,f15369,f5799,f15409]) ).
thf(f21261,definition,
( spl0_395
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_395])],[avatar_definition]) ).
thf(f21262,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_395 ),
inference(avatar_component_clause,[],[f21261]) ).
thf(f21263,plain,
( ~ spl0_395
| spl0_151
| spl0_148
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f21255,f15369,f5788,f5799,f21261]) ).
thf(f21269,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_394 ),
inference(constrained_superposition,[],[f21253,f60]) ).
thf(f21274,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_394 ),
inference(trivial_inequality_removal,[],[f21269]) ).
thf(f21277,plain,
( spl0_183
| spl0_394 ),
inference(avatar_split_clause,[],[f21274,f21252,f7671]) ).
thf(f21283,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_395 ),
inference(constrained_superposition,[],[f21262,f62]) ).
thf(f21286,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_395 ),
inference(trivial_inequality_removal,[],[f21283]) ).
thf(f21290,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_395 ),
inference(forward_subsumption_resolution,[],[f21286,f29]) ).
thf(f21295,plain,
( $false
| spl0_182
| spl0_395 ),
inference(forward_subsumption_resolution,[],[f21290,f19065]) ).
thf(f21296,plain,
( spl0_182
| spl0_395 ),
inference(avatar_contradiction_clause,[],[f21295]) ).
thf(f21314,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_310 ),
inference(constrained_superposition,[],[f31,f15367]) ).
thf(f21316,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f21314]) ).
thf(f21430,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_313 ),
inference(constrained_superposition,[],[f15410,f313]) ).
thf(f21434,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f21430]) ).
thf(f21438,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_196
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f21434,f19078]) ).
thf(f21444,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_196
| ~ spl0_313 ),
inference(constrained_superposition,[],[f21438,f62]) ).
thf(f21446,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_196
| ~ spl0_313 ),
inference(constrained_superposition,[],[f21438,f28]) ).
thf(f21447,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_196
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f21444]) ).
thf(f21450,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_196
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f21446]) ).
thf(f21451,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_196
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f21447,f29]) ).
thf(f21455,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_148
| spl0_196
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f21450,f17522]) ).
thf(f21456,plain,
( $false
| spl0_148
| spl0_196
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f21451,f17522]) ).
thf(f21457,plain,
( spl0_148
| spl0_196
| ~ spl0_313 ),
inference(avatar_contradiction_clause,[],[f21456]) ).
thf(f21459,plain,
( spl0_139
| spl0_148
| spl0_196
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f21455,f15409,f7926,f5788,f5549]) ).
thf(f21569,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_95 ),
inference(constrained_superposition,[],[f19573,f35]) ).
thf(f21572,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_95 ),
inference(trivial_inequality_removal,[],[f21569]) ).
thf(f21574,plain,
( spl0_99
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f21572,f5052,f5076]) ).
thf(f21593,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_105
| ~ spl0_119
| ~ spl0_121 ),
inference(constrained_superposition,[],[f21136,f5102]) ).
thf(f21597,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_105
| ~ spl0_117 ),
inference(constrained_superposition,[],[f20923,f5102]) ).
thf(f21600,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_105
| ~ spl0_119
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f21593]) ).
thf(f21601,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_105
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f21597]) ).
thf(f21607,plain,
( spl0_128
| ~ spl0_105
| ~ spl0_119
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f21600,f5199,f5191,f5101,f5314]) ).
thf(f21608,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_105
| ~ spl0_117
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f21601,f5350]) ).
thf(f21609,plain,
( spl0_128
| ~ spl0_105
| ~ spl0_117
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f21608,f5349,f5184,f5101,f5314]) ).
thf(f21614,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_140
| ~ spl0_383 ),
inference(constrained_superposition,[],[f19397,f5553]) ).
thf(f21615,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_140
| ~ spl0_383 ),
inference(trivial_inequality_removal,[],[f21614]) ).
thf(f21622,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_119
| ~ spl0_121
| ~ spl0_140
| ~ spl0_383 ),
inference(forward_subsumption_resolution,[],[f21615,f21136]) ).
thf(f21625,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_119
| ~ spl0_121
| ~ spl0_140
| ~ spl0_383 ),
inference(forward_subsumption_resolution,[],[f21622,f29]) ).
thf(f21628,plain,
( spl0_139
| ~ spl0_119
| ~ spl0_121
| ~ spl0_140
| ~ spl0_383 ),
inference(avatar_split_clause,[],[f21625,f19396,f5552,f5199,f5191,f5549]) ).
thf(f21914,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_99
| ~ spl0_391 ),
inference(constrained_superposition,[],[f20780,f5077]) ).
thf(f21927,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_99
| ~ spl0_391 ),
inference(duplicate_literal_removal,[],[f21914]) ).
thf(f21928,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_99
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f21927]) ).
thf(f21941,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_99
| ~ spl0_117
| ~ spl0_391 ),
inference(constrained_superposition,[],[f20923,f21928]) ).
thf(f21954,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_99
| ~ spl0_117
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f21941]) ).
thf(f21957,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_99
| ~ spl0_117
| ~ spl0_391 ),
inference(forward_subsumption_resolution,[],[f21954,f29]) ).
thf(f21960,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_99
| ~ spl0_117
| spl0_152
| ~ spl0_391 ),
inference(forward_subsumption_resolution,[],[f21957,f15336]) ).
thf(f21961,plain,
( $false
| ~ spl0_99
| ~ spl0_117
| ~ spl0_137
| spl0_152
| ~ spl0_391 ),
inference(forward_subsumption_resolution,[],[f21960,f5350]) ).
thf(f21962,plain,
( ~ spl0_99
| ~ spl0_117
| ~ spl0_137
| spl0_152
| ~ spl0_391 ),
inference(avatar_contradiction_clause,[],[f21961]) ).
thf(f22491,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| spl0_161
| ~ spl0_162 ),
inference(constrained_superposition,[],[f6642,f6129]) ).
thf(f22503,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_161
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f22491]) ).
thf(f22519,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_161
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[],[f22503,f29]) ).
thf(f22522,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_6
| spl0_161
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[],[f22519,f172]) ).
thf(f22524,plain,
( spl0_126
| spl0_6
| spl0_161
| ~ spl0_162 ),
inference(avatar_split_clause,[],[f22522,f6128,f6089,f87,f5308]) ).
thf(f22583,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_41
| ~ spl0_211 ),
inference(constrained_superposition,[],[f9095,f9068]) ).
thf(f22619,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_41
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f22583]) ).
thf(f22631,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_41
| ~ spl0_211 ),
inference(forward_subsumption_resolution,[],[f22619,f29]) ).
thf(f22634,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_6
| spl0_41
| ~ spl0_211 ),
inference(forward_subsumption_resolution,[],[f22631,f172]) ).
thf(f22640,plain,
( spl0_126
| spl0_6
| spl0_41
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f22634,f9067,f701,f87,f5308]) ).
thf(f23641,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_264 ),
inference(constrained_superposition,[],[f13411,f61]) ).
thf(f23649,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_264 ),
inference(trivial_inequality_removal,[],[f23641]) ).
thf(f23655,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_264 ),
inference(forward_subsumption_resolution,[],[f23649,f29]) ).
thf(f23659,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_6
| ~ spl0_264 ),
inference(forward_subsumption_resolution,[],[f23655,f172]) ).
thf(f23660,plain,
( $false
| spl0_6
| spl0_247
| ~ spl0_264 ),
inference(forward_subsumption_resolution,[],[f23659,f11759]) ).
thf(f23661,plain,
( spl0_6
| spl0_247
| ~ spl0_264 ),
inference(avatar_contradiction_clause,[],[f23660]) ).
thf(f24135,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_164
| ~ spl0_310 ),
inference(constrained_superposition,[],[f21316,f6168]) ).
thf(f24195,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_164
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f24135]) ).
thf(f24206,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_164
| ~ spl0_310
| spl0_315 ),
inference(forward_subsumption_resolution,[],[f24195,f15748]) ).
thf(f24212,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_121
| ~ spl0_164
| ~ spl0_310
| spl0_315 ),
inference(forward_subsumption_resolution,[],[f24206,f5200]) ).
thf(f24214,plain,
( spl0_237
| spl0_201
| ~ spl0_121
| ~ spl0_164
| ~ spl0_310
| spl0_315 ),
inference(avatar_split_clause,[],[f24212,f15747,f15366,f6167,f5199,f8146,f10259]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f82]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f96]) ).
cnf(s6,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f160]) ).
cnf(s8,plain,
( ~ spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f185]) ).
cnf(s10,plain,
( ~ spl0_2
| spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f238]) ).
cnf(s18,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f400]) ).
cnf(s19,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f401]) ).
cnf(s20,plain,
( ~ spl0_1
| spl0_9 ),
inference(sat_conversion,[],[f406]) ).
cnf(s29,plain,
( spl0_31
| spl0_32 ),
inference(sat_conversion,[],[f572]) ).
cnf(s31,plain,
( spl0_30
| spl0_35
| spl0_36 ),
inference(sat_conversion,[],[f586]) ).
cnf(s34,plain,
( ~ spl0_3
| spl0_16 ),
inference(sat_conversion,[],[f596]) ).
cnf(s35,plain,
( ~ spl0_34
| spl0_36 ),
inference(sat_conversion,[],[f602]) ).
cnf(s38,plain,
( spl0_35
| spl0_37 ),
inference(sat_conversion,[],[f639]) ).
cnf(s48,plain,
~ spl0_39,
inference(sat_conversion,[],[f725]) ).
cnf(s50,plain,
( ~ spl0_6
| spl0_32
| ~ spl0_35
| spl0_45 ),
inference(sat_conversion,[],[f753]) ).
cnf(s59,plain,
( spl0_54
| spl0_55 ),
inference(sat_conversion,[],[f1108]) ).
cnf(s65,plain,
( spl0_28
| spl0_57 ),
inference(sat_conversion,[],[f1142]) ).
cnf(s66,plain,
( spl0_28
| spl0_39
| spl0_57 ),
inference(sat_conversion,[],[f1143]) ).
cnf(s75,plain,
( spl0_28
| ~ spl0_30
| spl0_39 ),
inference(sat_conversion,[],[f1839]) ).
cnf(s79,plain,
( ~ spl0_6
| spl0_24
| ~ spl0_35
| ~ spl0_44
| spl0_68 ),
inference(sat_conversion,[],[f2151]) ).
cnf(s88,plain,
( ~ spl0_32
| spl0_54 ),
inference(sat_conversion,[],[f2918]) ).
cnf(s89,plain,
( spl0_7
| ~ spl0_24
| ~ spl0_27
| ~ spl0_35 ),
inference(sat_conversion,[],[f2964]) ).
cnf(s90,plain,
( ~ spl0_6
| spl0_11
| ~ spl0_24 ),
inference(sat_conversion,[],[f2969]) ).
cnf(s164,plain,
( spl0_33
| spl0_43 ),
inference(sat_conversion,[],[f5139]) ).
cnf(s171,plain,
( spl0_27
| ~ spl0_45 ),
inference(sat_conversion,[],[f5165]) ).
cnf(s180,plain,
( ~ spl0_35
| spl0_39
| spl0_41
| ~ spl0_45
| ~ spl0_119 ),
inference(sat_conversion,[],[f5238]) ).
cnf(s181,plain,
( ~ spl0_28
| ~ spl0_35
| ~ spl0_94 ),
inference(sat_conversion,[],[f5252]) ).
cnf(s182,plain,
( ~ spl0_6
| spl0_28
| ~ spl0_35
| spl0_39
| spl0_51 ),
inference(sat_conversion,[],[f5262]) ).
cnf(s190,plain,
( ~ spl0_118
| spl0_124
| spl0_136
| spl0_137 ),
inference(sat_conversion,[],[f5351]) ).
cnf(s204,plain,
~ spl0_126,
inference(sat_conversion,[],[f5478]) ).
cnf(s215,plain,
( spl0_41
| ~ spl0_135 ),
inference(sat_conversion,[],[f5518]) ).
cnf(s216,plain,
( spl0_124
| ~ spl0_135 ),
inference(sat_conversion,[],[f5519]) ).
cnf(s217,plain,
( spl0_119
| ~ spl0_135 ),
inference(sat_conversion,[],[f5520]) ).
cnf(s218,plain,
( spl0_131
| ~ spl0_135 ),
inference(sat_conversion,[],[f5521]) ).
cnf(s219,plain,
( spl0_123
| spl0_136 ),
inference(sat_conversion,[],[f5526]) ).
cnf(s224,plain,
( ~ spl0_6
| ~ spl0_35
| ~ spl0_55
| ~ spl0_133
| spl0_139
| spl0_140 ),
inference(sat_conversion,[],[f5554]) ).
cnf(s234,plain,
~ spl0_139,
inference(sat_conversion,[],[f5671]) ).
cnf(s248,plain,
( ~ spl0_10
| spl0_33
| spl0_77 ),
inference(sat_conversion,[],[f5706]) ).
cnf(s250,plain,
( spl0_33
| ~ spl0_68
| spl0_83 ),
inference(sat_conversion,[],[f5712]) ).
cnf(s252,plain,
( ~ spl0_35
| ~ spl0_45
| spl0_126
| spl0_127
| ~ spl0_136 ),
inference(sat_conversion,[],[f5724]) ).
cnf(s258,plain,
( ~ spl0_6
| ~ spl0_31
| ~ spl0_35
| ~ spl0_136
| spl0_147 ),
inference(sat_conversion,[],[f5802]) ).
cnf(s264,plain,
( ~ spl0_94
| ~ spl0_124
| spl0_126
| ~ spl0_137 ),
inference(sat_conversion,[],[f5850]) ).
cnf(s266,plain,
( ~ spl0_118
| ~ spl0_151 ),
inference(sat_conversion,[],[f5869]) ).
cnf(s267,plain,
( spl0_147
| ~ spl0_151 ),
inference(sat_conversion,[],[f5870]) ).
cnf(s277,plain,
( ~ spl0_42
| ~ spl0_122
| ~ spl0_132 ),
inference(sat_conversion,[],[f5970]) ).
cnf(s278,plain,
( spl0_42
| spl0_119 ),
inference(sat_conversion,[],[f5975]) ).
cnf(s282,plain,
( ~ spl0_6
| ~ spl0_127
| ~ spl0_136 ),
inference(sat_conversion,[],[f6037]) ).
cnf(s289,plain,
( ~ spl0_36
| spl0_119
| spl0_131 ),
inference(sat_conversion,[],[f6079]) ).
cnf(s295,plain,
( ~ spl0_2
| spl0_33
| spl0_119
| spl0_131
| spl0_152 ),
inference(sat_conversion,[],[f6094]) ).
cnf(s296,plain,
( spl0_41
| ~ spl0_45
| spl0_131
| spl0_152 ),
inference(sat_conversion,[],[f6095]) ).
cnf(s299,plain,
( ~ spl0_6
| ~ spl0_119
| spl0_158 ),
inference(sat_conversion,[],[f6108]) ).
cnf(s301,plain,
( ~ spl0_41
| ~ spl0_94
| ~ spl0_137 ),
inference(sat_conversion,[],[f6122]) ).
cnf(s308,plain,
( spl0_28
| ~ spl0_32 ),
inference(sat_conversion,[],[f6187]) ).
cnf(s312,plain,
( ~ spl0_32
| spl0_33 ),
inference(sat_conversion,[],[f6190]) ).
cnf(s320,plain,
~ spl0_152,
inference(sat_conversion,[],[f6310]) ).
cnf(s331,plain,
( spl0_5
| ~ spl0_95 ),
inference(sat_conversion,[],[f6350]) ).
cnf(s333,plain,
( spl0_140
| spl0_150
| spl0_151 ),
inference(sat_conversion,[],[f6380]) ).
cnf(s334,plain,
( ~ spl0_33
| ~ spl0_119
| ~ spl0_120 ),
inference(sat_conversion,[],[f6407]) ).
cnf(s335,plain,
( ~ spl0_6
| ~ spl0_28
| ~ spl0_33 ),
inference(sat_conversion,[],[f6410]) ).
cnf(s338,plain,
( ~ spl0_33
| ~ spl0_54
| ~ spl0_119 ),
inference(sat_conversion,[],[f6430]) ).
cnf(s348,plain,
( ~ spl0_45
| ~ spl0_131
| spl0_153 ),
inference(sat_conversion,[],[f6484]) ).
cnf(s349,plain,
( ~ spl0_6
| ~ spl0_41
| ~ spl0_119 ),
inference(sat_conversion,[],[f6518]) ).
cnf(s350,plain,
( ~ spl0_33
| ~ spl0_119
| ~ spl0_131 ),
inference(sat_conversion,[],[f6520]) ).
cnf(s352,plain,
( ~ spl0_2
| ~ spl0_33
| ~ spl0_120
| spl0_162 ),
inference(sat_conversion,[],[f6545]) ).
cnf(s355,plain,
( ~ spl0_7
| spl0_137
| ~ spl0_163 ),
inference(sat_conversion,[],[f6567]) ).
cnf(s356,plain,
( ~ spl0_35
| ~ spl0_131
| ~ spl0_137 ),
inference(sat_conversion,[],[f6568]) ).
cnf(s357,plain,
( spl0_7
| spl0_94 ),
inference(sat_conversion,[],[f6573]) ).
cnf(s360,plain,
( ~ spl0_5
| spl0_103 ),
inference(sat_conversion,[],[f6600]) ).
cnf(s366,plain,
( spl0_136
| ~ spl0_151 ),
inference(sat_conversion,[],[f6638]) ).
cnf(s379,plain,
( ~ spl0_2
| ~ spl0_35
| ~ spl0_131
| spl0_162 ),
inference(sat_conversion,[],[f6803]) ).
cnf(s385,plain,
( ~ spl0_94
| ~ spl0_127
| ~ spl0_134
| spl0_137 ),
inference(sat_conversion,[],[f6905]) ).
cnf(s389,plain,
( ~ spl0_27
| spl0_116 ),
inference(sat_conversion,[],[f6971]) ).
cnf(s401,plain,
( ~ spl0_83
| ~ spl0_121
| spl0_128
| ~ spl0_131
| spl0_139 ),
inference(sat_conversion,[],[f7099]) ).
cnf(s402,plain,
( ~ spl0_8
| ~ spl0_117
| ~ spl0_127
| spl0_137 ),
inference(sat_conversion,[],[f7170]) ).
cnf(s414,plain,
( ~ spl0_97
| ~ spl0_117
| spl0_126
| ~ spl0_127
| spl0_137 ),
inference(sat_conversion,[],[f7372]) ).
cnf(s424,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_11
| ~ spl0_45
| ~ spl0_140
| spl0_182
| spl0_183 ),
inference(sat_conversion,[],[f7673]) ).
cnf(s442,plain,
( ~ spl0_6
| ~ spl0_11
| ~ spl0_31
| ~ spl0_35
| ~ spl0_121
| ~ spl0_131 ),
inference(sat_conversion,[],[f7870]) ).
cnf(s443,plain,
( ~ spl0_6
| ~ spl0_11
| ~ spl0_31
| ~ spl0_35
| ~ spl0_117
| ~ spl0_120 ),
inference(sat_conversion,[],[f7879]) ).
cnf(s446,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_121
| ~ spl0_131
| ~ spl0_140
| ~ spl0_182
| spl0_198
| spl0_199 ),
inference(sat_conversion,[],[f7938]) ).
cnf(s468,plain,
~ spl0_128,
inference(sat_conversion,[],[f8116]) ).
cnf(s482,plain,
( spl0_183
| ~ spl0_198 ),
inference(sat_conversion,[],[f8171]) ).
cnf(s484,plain,
( ~ spl0_6
| ~ spl0_191
| spl0_202 ),
inference(sat_conversion,[],[f8189]) ).
cnf(s492,plain,
( ~ spl0_6
| ~ spl0_183
| ~ spl0_191 ),
inference(sat_conversion,[],[f8288]) ).
cnf(s496,plain,
( ~ spl0_10
| ~ spl0_33
| ~ spl0_120
| spl0_139
| ~ spl0_196 ),
inference(sat_conversion,[],[f8308]) ).
cnf(s500,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_35
| ~ spl0_45
| spl0_128
| ~ spl0_183
| spl0_194 ),
inference(sat_conversion,[],[f8352]) ).
cnf(s502,plain,
( ~ spl0_57
| spl0_196
| ~ spl0_199 ),
inference(sat_conversion,[],[f8370]) ).
cnf(s510,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_11
| spl0_126
| ~ spl0_140
| ~ spl0_184 ),
inference(sat_conversion,[],[f8674]) ).
cnf(s519,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_140
| ~ spl0_207
| spl0_209 ),
inference(sat_conversion,[],[f8920]) ).
cnf(s521,plain,
( ~ spl0_117
| ~ spl0_209 ),
inference(sat_conversion,[],[f9045]) ).
cnf(s526,plain,
( spl0_129
| ~ spl0_143
| ~ spl0_209 ),
inference(sat_conversion,[],[f9060]) ).
cnf(s535,plain,
( spl0_127
| spl0_129 ),
inference(sat_conversion,[],[f9079]) ).
cnf(s536,plain,
( spl0_127
| spl0_128
| spl0_129 ),
inference(sat_conversion,[],[f9085]) ).
cnf(s539,plain,
( ~ spl0_41
| ~ spl0_121
| spl0_168 ),
inference(sat_conversion,[],[f9096]) ).
cnf(s544,plain,
( ~ spl0_41
| ~ spl0_121
| ~ spl0_140 ),
inference(sat_conversion,[],[f9115]) ).
cnf(s574,plain,
( spl0_158
| spl0_161 ),
inference(sat_conversion,[],[f9175]) ).
cnf(s587,plain,
( ~ spl0_117
| ~ spl0_127
| ~ spl0_161 ),
inference(sat_conversion,[],[f9240]) ).
cnf(s588,plain,
( ~ spl0_127
| spl0_214 ),
inference(sat_conversion,[],[f9242]) ).
cnf(s592,plain,
( spl0_140
| spl0_168 ),
inference(sat_conversion,[],[f9264]) ).
cnf(s597,plain,
( ~ spl0_6
| ~ spl0_35
| spl0_148
| spl0_151
| ~ spl0_168 ),
inference(sat_conversion,[],[f9318]) ).
cnf(s606,plain,
( ~ spl0_2
| ~ spl0_41
| ~ spl0_94
| spl0_162 ),
inference(sat_conversion,[],[f9408]) ).
cnf(s613,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_35
| ~ spl0_45
| spl0_126
| ~ spl0_147
| spl0_224 ),
inference(sat_conversion,[],[f9523]) ).
cnf(s619,plain,
( ~ spl0_124
| spl0_131
| spl0_152 ),
inference(sat_conversion,[],[f9609]) ).
cnf(s637,plain,
( ~ spl0_6
| ~ spl0_35
| ~ spl0_45
| ~ spl0_68
| spl0_126
| ~ spl0_147
| spl0_230 ),
inference(sat_conversion,[],[f9983]) ).
cnf(s656,plain,
( ~ spl0_35
| ~ spl0_45
| spl0_106
| spl0_182
| spl0_183
| ~ spl0_224 ),
inference(sat_conversion,[],[f10558]) ).
cnf(s668,plain,
( ~ spl0_106
| ~ spl0_117
| spl0_126
| ~ spl0_161 ),
inference(sat_conversion,[],[f10635]) ).
cnf(s674,plain,
( ~ spl0_10
| ~ spl0_33
| ~ spl0_148
| ~ spl0_207
| spl0_209 ),
inference(sat_conversion,[],[f10776]) ).
cnf(s681,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_41
| spl0_139
| ~ spl0_161
| ~ spl0_183
| spl0_191 ),
inference(sat_conversion,[],[f10803]) ).
cnf(s686,plain,
( ~ spl0_9
| spl0_133 ),
inference(sat_conversion,[],[f10838]) ).
cnf(s687,plain,
( ~ spl0_9
| spl0_137 ),
inference(sat_conversion,[],[f10842]) ).
cnf(s688,plain,
( ~ spl0_9
| spl0_188 ),
inference(sat_conversion,[],[f10854]) ).
cnf(s694,plain,
( ~ spl0_44
| spl0_126
| spl0_131
| spl0_152
| spl0_161 ),
inference(sat_conversion,[],[f10878]) ).
cnf(s695,plain,
( ~ spl0_9
| ~ spl0_33
| ~ spl0_148 ),
inference(sat_conversion,[],[f10880]) ).
cnf(s698,plain,
( spl0_49
| spl0_247 ),
inference(sat_conversion,[],[f10890]) ).
cnf(s704,plain,
( spl0_33
| spl0_120
| spl0_152
| ~ spl0_162 ),
inference(sat_conversion,[],[f10906]) ).
cnf(s707,plain,
( ~ spl0_1
| spl0_24 ),
inference(sat_conversion,[],[f10914]) ).
cnf(s741,plain,
( ~ spl0_9
| ~ spl0_24
| ~ spl0_28 ),
inference(sat_conversion,[],[f11177]) ).
cnf(s752,plain,
( ~ spl0_3
| ~ spl0_11 ),
inference(sat_conversion,[],[f11211]) ).
cnf(s782,plain,
( ~ spl0_9
| ~ spl0_45 ),
inference(sat_conversion,[],[f11477]) ).
cnf(s785,plain,
( ~ spl0_31
| ~ spl0_37
| spl0_38 ),
inference(sat_conversion,[],[f11482]) ).
cnf(s786,plain,
( spl0_35
| spl0_54
| spl0_254 ),
inference(sat_conversion,[],[f11486]) ).
cnf(s788,plain,
( ~ spl0_6
| ~ spl0_33
| spl0_247 ),
inference(sat_conversion,[],[f11489]) ).
cnf(s790,plain,
( ~ spl0_7
| spl0_35
| ~ spl0_45 ),
inference(sat_conversion,[],[f11496]) ).
cnf(s791,plain,
( spl0_35
| ~ spl0_45
| spl0_94 ),
inference(sat_conversion,[],[f11499]) ).
cnf(s798,plain,
( ~ spl0_3
| ~ spl0_247 ),
inference(sat_conversion,[],[f11523]) ).
cnf(s807,plain,
( ~ spl0_6
| ~ spl0_136
| spl0_168 ),
inference(sat_conversion,[],[f11574]) ).
cnf(s818,plain,
( ~ spl0_33
| ~ spl0_54
| ~ spl0_136 ),
inference(sat_conversion,[],[f11682]) ).
cnf(s829,plain,
( spl0_127
| ~ spl0_151 ),
inference(sat_conversion,[],[f11754]) ).
cnf(s831,plain,
( ~ spl0_31
| spl0_147
| ~ spl0_168
| ~ spl0_247 ),
inference(sat_conversion,[],[f11760]) ).
cnf(s832,plain,
( spl0_148
| spl0_151
| ~ spl0_168
| ~ spl0_247 ),
inference(sat_conversion,[],[f11761]) ).
cnf(s841,plain,
( ~ spl0_6
| ~ spl0_137
| spl0_158 ),
inference(sat_conversion,[],[f11812]) ).
cnf(s848,plain,
( spl0_41
| ~ spl0_51
| spl0_120
| spl0_126
| spl0_152 ),
inference(sat_conversion,[],[f11863]) ).
cnf(s849,plain,
( spl0_34
| ~ spl0_254 ),
inference(sat_conversion,[],[f11874]) ).
cnf(s852,plain,
( ~ spl0_16
| spl0_128
| spl0_140 ),
inference(sat_conversion,[],[f11897]) ).
cnf(s864,plain,
( ~ spl0_117
| ~ spl0_133
| ~ spl0_137 ),
inference(sat_conversion,[],[f11979]) ).
cnf(s869,plain,
( ~ spl0_117
| ~ spl0_119
| ~ spl0_136 ),
inference(sat_conversion,[],[f12049]) ).
cnf(s876,plain,
( ~ spl0_43
| ~ spl0_132
| spl0_148 ),
inference(sat_conversion,[],[f12114]) ).
cnf(s877,plain,
( ~ spl0_94
| ~ spl0_127
| ~ spl0_133 ),
inference(sat_conversion,[],[f12115]) ).
cnf(s886,plain,
( ~ spl0_122
| ~ spl0_143
| ~ spl0_150 ),
inference(sat_conversion,[],[f12210]) ).
cnf(s889,plain,
( spl0_41
| spl0_143 ),
inference(sat_conversion,[],[f12223]) ).
cnf(s893,plain,
( ~ spl0_148
| spl0_168
| spl0_247 ),
inference(sat_conversion,[],[f12228]) ).
cnf(s894,plain,
( ~ spl0_11
| spl0_247 ),
inference(sat_conversion,[],[f12243]) ).
cnf(s910,plain,
( ~ spl0_11
| ~ spl0_134
| ~ spl0_158 ),
inference(sat_conversion,[],[f12498]) ).
cnf(s928,plain,
( spl0_144
| ~ spl0_254 ),
inference(sat_conversion,[],[f12687]) ).
cnf(s930,plain,
( spl0_28
| spl0_33
| ~ spl0_103 ),
inference(sat_conversion,[],[f12722]) ).
cnf(s939,plain,
( ~ spl0_10
| spl0_246 ),
inference(sat_conversion,[],[f12858]) ).
cnf(s950,plain,
( ~ spl0_6
| ~ spl0_127
| ~ spl0_140
| ~ spl0_194
| spl0_207 ),
inference(sat_conversion,[],[f13110]) ).
cnf(s965,plain,
( ~ spl0_10
| ~ spl0_182
| spl0_191
| spl0_264 ),
inference(sat_conversion,[],[f13412]) ).
cnf(s1062,plain,
( ~ spl0_182
| spl0_197
| spl0_201
| spl0_207
| ~ spl0_230 ),
inference(sat_conversion,[],[f15042]) ).
cnf(s1063,plain,
( spl0_126
| ~ spl0_131
| spl0_152
| ~ spl0_230 ),
inference(sat_conversion,[],[f15053]) ).
cnf(s1091,plain,
( spl0_152
| spl0_310
| spl0_311 ),
inference(sat_conversion,[],[f15371]) ).
cnf(s1101,plain,
( ~ spl0_6
| ~ spl0_188
| spl0_202 ),
inference(sat_conversion,[],[f15439]) ).
cnf(s1122,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_31
| ~ spl0_140
| ~ spl0_147
| spl0_209
| ~ spl0_247
| ~ spl0_310 ),
inference(sat_conversion,[],[f15743]) ).
cnf(s1124,plain,
( spl0_168
| ~ spl0_310
| ~ spl0_315 ),
inference(sat_conversion,[],[f15749]) ).
cnf(s1127,plain,
( ~ spl0_38
| spl0_133
| spl0_147 ),
inference(sat_conversion,[],[f15787]) ).
cnf(s1137,plain,
( ~ spl0_147
| spl0_280 ),
inference(sat_conversion,[],[f15818]) ).
cnf(s1143,plain,
( ~ spl0_134
| spl0_139
| ~ spl0_311
| spl0_317 ),
inference(sat_conversion,[],[f15874]) ).
cnf(s1149,plain,
( ~ spl0_6
| ~ spl0_10
| spl0_33
| ~ spl0_119
| spl0_128
| ~ spl0_140
| ~ spl0_148
| spl0_209
| ~ spl0_317 ),
inference(sat_conversion,[],[f15926]) ).
cnf(s1155,plain,
( ~ spl0_31
| spl0_131
| ~ spl0_158
| ~ spl0_247 ),
inference(sat_conversion,[],[f15934]) ).
cnf(s1159,plain,
( spl0_120
| spl0_135
| ~ spl0_158
| ~ spl0_247 ),
inference(sat_conversion,[],[f15944]) ).
cnf(s1164,plain,
( spl0_32
| spl0_39
| spl0_45
| spl0_49 ),
inference(sat_conversion,[],[f15958]) ).
cnf(s1175,plain,
( spl0_121
| spl0_122
| spl0_152 ),
inference(sat_conversion,[],[f15984]) ).
cnf(s1177,plain,
( ~ spl0_35
| ~ spl0_182
| ~ spl0_191 ),
inference(sat_conversion,[],[f15989]) ).
cnf(s1180,plain,
( spl0_94
| spl0_95
| ~ spl0_202 ),
inference(sat_conversion,[],[f15995]) ).
cnf(s1185,plain,
( spl0_133
| ~ spl0_134
| ~ spl0_326 ),
inference(sat_conversion,[],[f16012]) ).
cnf(s1187,plain,
( ~ spl0_4
| ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f16014]) ).
cnf(s1192,plain,
( ~ spl0_134
| spl0_148
| ~ spl0_274 ),
inference(sat_conversion,[],[f16027]) ).
cnf(s1197,plain,
( ~ spl0_28
| ~ spl0_147
| ~ spl0_214 ),
inference(sat_conversion,[],[f16035]) ).
cnf(s1198,plain,
( ~ spl0_6
| ~ spl0_49
| ~ spl0_52
| spl0_329 ),
inference(sat_conversion,[],[f16040]) ).
cnf(s1199,plain,
( ~ spl0_6
| ~ spl0_28
| ~ spl0_52
| spl0_329 ),
inference(sat_conversion,[],[f16041]) ).
cnf(s1200,plain,
( ~ spl0_6
| ~ spl0_36
| spl0_247
| spl0_330 ),
inference(sat_conversion,[],[f16045]) ).
cnf(s1220,plain,
( spl0_117
| spl0_118
| spl0_152 ),
inference(sat_conversion,[],[f16084]) ).
cnf(s1221,plain,
( ~ spl0_31
| spl0_182
| ~ spl0_202
| ~ spl0_247 ),
inference(sat_conversion,[],[f16085]) ).
cnf(s1224,plain,
( ~ spl0_28
| spl0_275 ),
inference(sat_conversion,[],[f16103]) ).
cnf(s1229,plain,
( ~ spl0_6
| ~ spl0_10
| spl0_184
| spl0_247 ),
inference(sat_conversion,[],[f16130]) ).
cnf(s1232,plain,
( ~ spl0_134
| ~ spl0_158
| ~ spl0_329 ),
inference(sat_conversion,[],[f16172]) ).
cnf(s1233,plain,
( spl0_94
| spl0_95
| ~ spl0_329 ),
inference(sat_conversion,[],[f16174]) ).
cnf(s1241,plain,
( spl0_120
| spl0_274 ),
inference(sat_conversion,[],[f16239]) ).
cnf(s1253,plain,
( ~ spl0_117
| spl0_126
| spl0_127
| ~ spl0_153 ),
inference(sat_conversion,[],[f16416]) ).
cnf(s1263,plain,
( ~ spl0_7
| spl0_133
| ~ spl0_150 ),
inference(sat_conversion,[],[f16518]) ).
cnf(s1292,plain,
~ spl0_197,
inference(sat_conversion,[],[f16772]) ).
cnf(s1306,plain,
( ~ spl0_313
| ~ spl0_329 ),
inference(sat_conversion,[],[f16964]) ).
cnf(s1314,plain,
( ~ spl0_13
| ~ spl0_52
| spl0_105
| ~ spl0_275 ),
inference(sat_conversion,[],[f17165]) ).
cnf(s1351,plain,
( ~ spl0_54
| spl0_120 ),
inference(sat_conversion,[],[f18061]) ).
cnf(s1358,plain,
( spl0_41
| ~ spl0_116
| spl0_131 ),
inference(sat_conversion,[],[f18371]) ).
cnf(s1376,plain,
( ~ spl0_121
| ~ spl0_164
| spl0_201
| spl0_237
| ~ spl0_310
| ~ spl0_330 ),
inference(sat_conversion,[],[f18620]) ).
cnf(s1416,plain,
~ spl0_201,
inference(sat_conversion,[],[f18885]) ).
cnf(s1425,plain,
( spl0_139
| ~ spl0_143
| ~ spl0_163
| ~ spl0_237 ),
inference(sat_conversion,[],[f19050]) ).
cnf(s1436,plain,
( ~ spl0_38
| ~ spl0_117
| ~ spl0_120
| spl0_133 ),
inference(sat_conversion,[],[f19069]) ).
cnf(s1439,plain,
( spl0_137
| spl0_326 ),
inference(sat_conversion,[],[f19076]) ).
cnf(s1440,plain,
( ~ spl0_117
| ~ spl0_131
| ~ spl0_280 ),
inference(sat_conversion,[],[f19077]) ).
cnf(s1442,plain,
( ~ spl0_36
| ~ spl0_117
| ~ spl0_131
| spl0_136 ),
inference(sat_conversion,[],[f19080]) ).
cnf(s1448,plain,
( ~ spl0_38
| ~ spl0_117
| ~ spl0_131
| spl0_133 ),
inference(sat_conversion,[],[f19089]) ).
cnf(s1456,plain,
( ~ spl0_10
| spl0_119
| spl0_139
| spl0_191
| spl0_235 ),
inference(sat_conversion,[],[f19106]) ).
cnf(s1459,plain,
( ~ spl0_36
| ~ spl0_147
| spl0_191
| ~ spl0_310 ),
inference(sat_conversion,[],[f19109]) ).
cnf(s1460,plain,
( ~ spl0_77
| ~ spl0_121
| ~ spl0_131
| spl0_136
| spl0_139 ),
inference(sat_conversion,[],[f19111]) ).
cnf(s1467,plain,
( spl0_35
| spl0_137
| ~ spl0_271 ),
inference(sat_conversion,[],[f19117]) ).
cnf(s1469,plain,
( ~ spl0_121
| ~ spl0_235
| ~ spl0_310 ),
inference(sat_conversion,[],[f19119]) ).
cnf(s1481,plain,
( ~ spl0_133
| ~ spl0_191
| ~ spl0_310 ),
inference(sat_conversion,[],[f19226]) ).
cnf(s1488,plain,
( ~ spl0_2
| spl0_117
| spl0_119
| ~ spl0_123
| spl0_152 ),
inference(sat_conversion,[],[f19252]) ).
cnf(s1492,plain,
( ~ spl0_6
| ~ spl0_133
| spl0_168 ),
inference(sat_conversion,[],[f19266]) ).
cnf(s1494,plain,
( ~ spl0_161
| ~ spl0_330 ),
inference(sat_conversion,[],[f19273]) ).
cnf(s1497,plain,
( ~ spl0_41
| ~ spl0_120
| ~ spl0_275 ),
inference(sat_conversion,[],[f19283]) ).
cnf(s1502,plain,
( ~ spl0_2
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f19295]) ).
cnf(s1505,plain,
( spl0_329
| ~ spl0_330 ),
inference(sat_conversion,[],[f19305]) ).
cnf(s1506,plain,
( ~ spl0_57
| spl0_148
| ~ spl0_150 ),
inference(sat_conversion,[],[f19307]) ).
cnf(s1515,plain,
( spl0_6
| ~ spl0_10
| ~ spl0_52
| ~ spl0_275
| spl0_373 ),
inference(sat_conversion,[],[f19332]) ).
cnf(s1533,plain,
( ~ spl0_4
| spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f19369]) ).
cnf(s1538,plain,
( ~ spl0_131
| ~ spl0_161
| spl0_247 ),
inference(sat_conversion,[],[f19391]) ).
cnf(s1540,plain,
( ~ spl0_144
| spl0_247
| spl0_383 ),
inference(sat_conversion,[],[f19398]) ).
cnf(s1547,plain,
( spl0_94
| spl0_97
| ~ spl0_324 ),
inference(sat_conversion,[],[f19411]) ).
cnf(s1557,plain,
( ~ spl0_33
| spl0_269 ),
inference(sat_conversion,[],[f19442]) ).
cnf(s1558,plain,
( ~ spl0_35
| spl0_276 ),
inference(sat_conversion,[],[f19451]) ).
cnf(s1568,plain,
( ~ spl0_247
| spl0_324 ),
inference(sat_conversion,[],[f19510]) ).
cnf(s1570,plain,
( spl0_94
| spl0_95
| ~ spl0_247 ),
inference(sat_conversion,[],[f19512]) ).
cnf(s1571,plain,
( ~ spl0_161
| spl0_277 ),
inference(sat_conversion,[],[f19547]) ).
cnf(s1582,plain,
( spl0_6
| ~ spl0_10
| spl0_41
| spl0_119 ),
inference(sat_conversion,[],[f19623]) ).
cnf(s1584,plain,
( ~ spl0_120
| spl0_211
| ~ spl0_246
| ~ spl0_269 ),
inference(sat_conversion,[],[f19641]) ).
cnf(s1588,plain,
( ~ spl0_41
| spl0_281 ),
inference(sat_conversion,[],[f19651]) ).
cnf(s1596,plain,
( ~ spl0_133
| ~ spl0_147
| ~ spl0_276 ),
inference(sat_conversion,[],[f19701]) ).
cnf(s1598,plain,
( ~ spl0_94
| spl0_247
| ~ spl0_276 ),
inference(sat_conversion,[],[f19703]) ).
cnf(s1605,plain,
( spl0_30
| spl0_44
| ~ spl0_247 ),
inference(sat_conversion,[],[f19748]) ).
cnf(s1607,plain,
( spl0_32
| spl0_45
| ~ spl0_247 ),
inference(sat_conversion,[],[f19750]) ).
cnf(s1608,plain,
( spl0_6
| spl0_30
| spl0_35
| ~ spl0_247 ),
inference(sat_conversion,[],[f19753]) ).
cnf(s1611,plain,
( ~ spl0_36
| ~ spl0_41
| ~ spl0_49
| spl0_119 ),
inference(sat_conversion,[],[f19757]) ).
cnf(s1613,plain,
( ~ spl0_10
| spl0_33
| spl0_52 ),
inference(sat_conversion,[],[f19761]) ).
cnf(s1642,plain,
( ~ spl0_136
| ~ spl0_148
| ~ spl0_269 ),
inference(sat_conversion,[],[f19960]) ).
cnf(s1649,plain,
( ~ spl0_118
| spl0_134
| spl0_135 ),
inference(sat_conversion,[],[f20081]) ).
cnf(s1651,plain,
( ~ spl0_122
| spl0_134
| spl0_151 ),
inference(sat_conversion,[],[f20107]) ).
cnf(s1654,plain,
( ~ spl0_118
| ~ spl0_129
| ~ spl0_163 ),
inference(sat_conversion,[],[f20136]) ).
cnf(s1658,plain,
( ~ spl0_4
| spl0_41
| ~ spl0_118
| ~ spl0_129 ),
inference(sat_conversion,[],[f20154]) ).
cnf(s1659,plain,
( ~ spl0_4
| ~ spl0_122
| spl0_127
| ~ spl0_143 ),
inference(sat_conversion,[],[f20155]) ).
cnf(s1671,plain,
( ~ spl0_49
| ~ spl0_120
| ~ spl0_277 ),
inference(sat_conversion,[],[f20285]) ).
cnf(s1673,plain,
( ~ spl0_28
| ~ spl0_131
| ~ spl0_281 ),
inference(sat_conversion,[],[f20306]) ).
cnf(s1681,plain,
( ~ spl0_183
| ~ spl0_196
| ~ spl0_275 ),
inference(sat_conversion,[],[f20418]) ).
cnf(s1691,plain,
( spl0_202
| spl0_315 ),
inference(sat_conversion,[],[f20480]) ).
cnf(s1695,plain,
( ~ spl0_310
| ~ spl0_373 ),
inference(sat_conversion,[],[f20485]) ).
cnf(s1696,plain,
( ~ spl0_118
| spl0_132
| spl0_133 ),
inference(sat_conversion,[],[f20486]) ).
cnf(s1709,plain,
( spl0_135
| spl0_271
| ~ spl0_274 ),
inference(sat_conversion,[],[f20606]) ).
cnf(s1723,plain,
( ~ spl0_119
| ~ spl0_317
| ~ spl0_373 ),
inference(sat_conversion,[],[f20734]) ).
cnf(s1724,plain,
( spl0_158
| ~ spl0_315
| ~ spl0_317 ),
inference(sat_conversion,[],[f20735]) ).
cnf(s1732,plain,
( ~ spl0_2
| ~ spl0_15
| spl0_136
| ~ spl0_168 ),
inference(sat_conversion,[],[f20750]) ).
cnf(s1735,plain,
( spl0_6
| ~ spl0_10
| spl0_136
| spl0_140 ),
inference(sat_conversion,[],[f20757]) ).
cnf(s1740,plain,
( ~ spl0_10
| spl0_117
| spl0_119
| spl0_136
| spl0_152 ),
inference(sat_conversion,[],[f20767]) ).
cnf(s1742,plain,
( ~ spl0_10
| spl0_119
| spl0_121
| spl0_136
| spl0_152 ),
inference(sat_conversion,[],[f20771]) ).
cnf(s1745,plain,
( ~ spl0_10
| spl0_119
| ~ spl0_281
| spl0_391 ),
inference(sat_conversion,[],[f20781]) ).
cnf(s1751,plain,
( spl0_33
| spl0_124
| spl0_137
| ~ spl0_274 ),
inference(sat_conversion,[],[f20790]) ).
cnf(s1752,plain,
( ~ spl0_10
| spl0_33
| spl0_39
| spl0_119
| spl0_131 ),
inference(sat_conversion,[],[f20791]) ).
cnf(s1754,plain,
( ~ spl0_10
| spl0_33
| spl0_36 ),
inference(sat_conversion,[],[f20793]) ).
cnf(s1767,plain,
( ~ spl0_2
| ~ spl0_117
| ~ spl0_136
| spl0_162 ),
inference(sat_conversion,[],[f20964]) ).
cnf(s1775,plain,
( ~ spl0_117
| ~ spl0_140
| spl0_158 ),
inference(sat_conversion,[],[f21021]) ).
cnf(s1776,plain,
( ~ spl0_117
| ~ spl0_140
| ~ spl0_277 ),
inference(sat_conversion,[],[f21022]) ).
cnf(s1778,plain,
( spl0_6
| ~ spl0_10
| ~ spl0_121
| spl0_136
| ~ spl0_281 ),
inference(sat_conversion,[],[f21026]) ).
cnf(s1779,plain,
( spl0_124
| ~ spl0_158
| spl0_164 ),
inference(sat_conversion,[],[f21061]) ).
cnf(s1780,plain,
( spl0_135
| ~ spl0_158
| spl0_163 ),
inference(sat_conversion,[],[f21062]) ).
cnf(s1788,plain,
( ~ spl0_2
| ~ spl0_15
| spl0_191
| ~ spl0_202 ),
inference(sat_conversion,[],[f21118]) ).
cnf(s1801,plain,
( ~ spl0_4
| spl0_127
| ~ spl0_311
| ~ spl0_394 ),
inference(sat_conversion,[],[f21254]) ).
cnf(s1802,plain,
( spl0_151
| ~ spl0_311
| spl0_313 ),
inference(sat_conversion,[],[f21256]) ).
cnf(s1804,plain,
( spl0_148
| spl0_151
| ~ spl0_311
| ~ spl0_395 ),
inference(sat_conversion,[],[f21263]) ).
cnf(s1807,plain,
( spl0_183
| spl0_394 ),
inference(sat_conversion,[],[f21277]) ).
cnf(s1810,plain,
( spl0_182
| spl0_395 ),
inference(sat_conversion,[],[f21296]) ).
cnf(s1828,plain,
( spl0_148
| spl0_196
| ~ spl0_313 ),
inference(sat_conversion,[],[f21457]) ).
cnf(s1830,plain,
( spl0_139
| spl0_148
| spl0_196
| ~ spl0_313 ),
inference(sat_conversion,[],[f21459]) ).
cnf(s1836,plain,
( ~ spl0_95
| spl0_99 ),
inference(sat_conversion,[],[f21574]) ).
cnf(s1838,plain,
( ~ spl0_105
| ~ spl0_119
| ~ spl0_121
| spl0_128 ),
inference(sat_conversion,[],[f21607]) ).
cnf(s1839,plain,
( ~ spl0_105
| ~ spl0_117
| spl0_128
| ~ spl0_137 ),
inference(sat_conversion,[],[f21609]) ).
cnf(s1841,plain,
( ~ spl0_119
| ~ spl0_121
| spl0_139
| ~ spl0_140
| ~ spl0_383 ),
inference(sat_conversion,[],[f21628]) ).
cnf(s1852,plain,
( ~ spl0_99
| ~ spl0_117
| ~ spl0_137
| spl0_152
| ~ spl0_391 ),
inference(sat_conversion,[],[f21962]) ).
cnf(s1865,plain,
( spl0_6
| spl0_126
| spl0_161
| ~ spl0_162 ),
inference(sat_conversion,[],[f22524]) ).
cnf(s1868,plain,
( spl0_6
| spl0_41
| spl0_126
| ~ spl0_211 ),
inference(sat_conversion,[],[f22640]) ).
cnf(s1890,plain,
( spl0_6
| spl0_247
| ~ spl0_264 ),
inference(sat_conversion,[],[f23661]) ).
cnf(s1899,plain,
( ~ spl0_121
| ~ spl0_164
| spl0_201
| spl0_237
| ~ spl0_310
| spl0_315 ),
inference(sat_conversion,[],[f24214]) ).
cnf(s1901,plain,
( ~ spl0_121
| ~ spl0_164
| spl0_237
| ~ spl0_310
| ~ spl0_330 ),
inference(rat,[],[s1376,s1416]) ).
cnf(s1918,plain,
( ~ spl0_182
| spl0_207
| ~ spl0_230 ),
inference(rat,[],[s1062,s1416,s1292]) ).
cnf(s1932,plain,
( ~ spl0_83
| ~ spl0_121
| ~ spl0_131
| spl0_139 ),
inference(rat,[],[s401,s468]) ).
cnf(s1937,plain,
( spl0_41
| ~ spl0_45
| spl0_131 ),
inference(rat,[],[s296,s320]) ).
cnf(s1938,plain,
( ~ spl0_2
| spl0_33
| spl0_119
| spl0_131 ),
inference(rat,[],[s295,s320]) ).
cnf(s1947,plain,
( ~ spl0_6
| ~ spl0_35
| ~ spl0_55
| ~ spl0_133
| spl0_140 ),
inference(rat,[],[s224,s234]) ).
cnf(s1952,plain,
( spl0_136
| spl0_41
| spl0_134
| spl0_313
| ~ spl0_330
| ~ spl0_36 ),
inference(rat,[],[s1901,s1779,s1175,s1091,s619,s1651,s1802,s1442,s366,s1425,s1780,s574,s1494,s889,s1220,s1649,s215,s320,s234]) ).
cnf(s1953,plain,
( spl0_41
| spl0_134
| spl0_313
| ~ spl0_330
| ~ spl0_38
| spl0_33
| ~ spl0_10
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1456,s1481,s1469,s1091,s1175,s1802,s1436,s1659,s829,s704,s869,s282,s1767,s1952,s1220,s1649,s215,s889,s1754,s234,s320]) ).
cnf(s1954,plain,
( spl0_27
| ~ spl0_10
| ~ spl0_94
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s349,s1611,s1953,s1232,s574,s1494,s1306,s1200,s785,s1199,s1164,s1607,s29,s1613,s1754,s312,s38,s335,s181,s171,s1533,s48]) ).
cnf(s1955,plain,
( spl0_247
| ~ spl0_131
| spl0_41
| ~ spl0_38
| ~ spl0_329
| spl0_33
| ~ spl0_10
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1232,s574,s1953,s1538,s1200,s1754,s1306]) ).
cnf(s1956,plain,
( ~ spl0_117
| ~ spl0_153
| ~ spl0_131
| ~ spl0_38
| ~ spl0_94 ),
inference(rat,[],[s877,s1253,s1448,s204]) ).
cnf(s1957,plain,
( spl0_41
| ~ spl0_28
| ~ spl0_10
| ~ spl0_94
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s385,s841,s535,s1232,s1658,s1649,s1220,s1956,s348,s1607,s1955,s1358,s215,s389,s1954,s1199,s1613,s785,s29,s312,s335,s38,s181,s320]) ).
cnf(s1958,plain,
( ~ spl0_28
| ~ spl0_10
| ~ spl0_94
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s704,s606,s1497,s1957,s335,s1224,s320]) ).
cnf(s1959,plain,
( spl0_45
| spl0_33
| ~ spl0_131
| spl0_41
| spl0_32
| ~ spl0_10
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1955,s785,s1198,s38,s1164,s1607,s50,s29,s1613,s48]) ).
cnf(s1960,plain,
( spl0_247
| spl0_33
| spl0_41
| ~ spl0_10
| ~ spl0_94
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s785,s38,s1955,s1558,s1198,s1598,s698,s29,s308,s1958,s1358,s389,s1954,s1613]) ).
cnf(s1961,plain,
( ~ spl0_38
| ~ spl0_247
| ~ spl0_153
| spl0_33
| ~ spl0_131
| spl0_41
| ~ spl0_31
| ~ spl0_10
| ~ spl0_94
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s1143,s1091,s1149,s1122,s333,s886,s1175,s876,s1740,s1460,s1696,s1127,s282,s877,s526,s535,s1658,s266,s1649,s1220,s1956,s889,s215,s164,s248,s234,s320,s468]) ).
cnf(s1962,plain,
( spl0_33
| spl0_41
| spl0_24
| ~ spl0_10
| ~ spl0_94
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1742,s258,s1932,s637,s250,s79,s180,s38,s785,s1961,s1605,s1960,s348,s1959,s75,s29,s308,s1958,s1063,s1358,s389,s1954,s320,s234,s204,s48]) ).
cnf(s1963,plain,
( spl0_117
| spl0_119
| spl0_41
| ~ spl0_10
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s535,s282,s1658,s1740,s1220,s320]) ).
cnf(s1964,plain,
( spl0_41
| spl0_11
| ~ spl0_10
| ~ spl0_94
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s446,s424,s482,s500,s502,s950,s496,s519,s1159,s592,s38,s1742,s574,s831,s785,s282,s587,s1137,s1956,s1253,s1440,s521,s1963,s348,s1607,s350,s788,s1962,s1358,s215,s389,s1954,s66,s29,s308,s1958,s90,s468,s234,s320,s204,s48]) ).
cnf(s1965,plain,
( ~ spl0_310
| ~ spl0_147
| ~ spl0_133
| ~ spl0_36 ),
inference(rat,[],[s1459,s1481]) ).
cnf(s1966,plain,
( spl0_117
| ~ spl0_36
| ~ spl0_326
| ~ spl0_41
| ~ spl0_31
| ~ spl0_10
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s681,s492,s1807,s1801,s1091,s1965,s574,s1780,s1654,s831,s536,s1185,s807,s282,s1649,s1740,s1220,s217,s698,s1611,s349,s234,s320,s468]) ).
cnf(s1967,plain,
( spl0_33
| ~ spl0_326
| ~ spl0_41
| spl0_32
| ~ spl0_10
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s282,s1442,s1253,s1966,s348,s1164,s1611,s1938,s1754,s29,s349,s204,s48]) ).
cnf(s1968,plain,
( spl0_117
| ~ spl0_45
| ~ spl0_326
| ~ spl0_41
| ~ spl0_31
| spl0_30
| ~ spl0_10
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s252,s31,s282,s1966,s1740,s349,s204,s320]) ).
cnf(s1969,plain,
( ~ spl0_131
| ~ spl0_117
| ~ spl0_45
| ~ spl0_247
| ~ spl0_41
| ~ spl0_31
| ~ spl0_10
| ~ spl0_6 ),
inference(rat,[],[s539,s1742,s831,s282,s1137,s1253,s1440,s348,s349,s320,s204]) ).
cnf(s1970,plain,
( spl0_11
| ~ spl0_10
| ~ spl0_94
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s681,s484,s656,s1221,s1918,s637,s613,s674,s831,s597,s79,s829,s592,s31,s587,s668,s1775,s289,s694,s1155,s1969,s521,s1968,s1605,s1607,s788,s1967,s1439,s301,s349,s1964,s90,s75,s29,s308,s1958,s234,s204,s320,s48]) ).
cnf(s1971,plain,
( ~ spl0_41
| spl0_33
| ~ spl0_10
| ~ spl0_94
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1439,s1967,s301,s308,s1958]) ).
cnf(s1972,plain,
( spl0_33
| ~ spl0_10
| spl0_7
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s785,s38,s1961,s89,s348,s1962,s1358,s1971,s389,s1954,s29,s1607,s894,s1970,s308,s1958,s357]) ).
cnf(s1973,plain,
( ~ spl0_41
| ~ spl0_33
| ~ spl0_45
| ~ spl0_247
| ~ spl0_31
| spl0_30
| ~ spl0_27
| ~ spl0_10
| spl0_7
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s681,s484,s656,s1221,s1918,s637,s613,s79,s674,s831,s89,s597,s829,s592,s31,s587,s668,s1775,s289,s694,s1155,s1969,s521,s1968,s1439,s301,s349,s357,s1605,s234,s204,s320]) ).
cnf(s1974,plain,
( ~ spl0_10
| spl0_7
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s442,s1742,s38,s282,s785,s1253,s1956,s1963,s350,s348,s1358,s1973,s1972,s1607,s894,s1970,s29,s75,s308,s1958,s389,s1954,s357,s320,s204,s48]) ).
cnf(s1975,plain,
( spl0_7
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1649,s1220,s216,s910,s864,s264,s841,s8,s686,s687,s6,s1974,s357,s320,s204]) ).
cnf(s1976,plain,
( ~ spl0_94
| spl0_33
| ~ spl0_10
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s443,s1963,s704,s180,s379,s790,s1607,s1358,s894,s389,s1971,s1970,s1954,s1975,s29,s312,s320,s48]) ).
cnf(s1977,plain,
( spl0_33
| ~ spl0_10
| spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1505,s1200,s1233,s1570,s1976,s1754,s1502,s331]) ).
cnf(s1978,plain,
( ~ spl0_41
| ~ spl0_45
| ~ spl0_31
| ~ spl0_11
| spl0_30
| ~ spl0_94
| ~ spl0_10
| ~ spl0_7
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s1947,s1263,s59,s333,s1351,s829,s1775,s443,s402,s1780,s1968,s355,s1439,s217,s301,s349,s1187,s790]) ).
cnf(s1979,plain,
( ~ spl0_10
| spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s443,s1963,s848,s180,s1978,s182,s790,s1607,s29,s1970,s75,s308,s1570,s335,s788,s1977,s331,s1975,s1502,s204,s320,s48]) ).
cnf(s1980,plain,
( spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s216,s1649,s264,s1220,s910,s1180,s864,s841,s1101,s8,s686,s687,s688,s6,s1979,s331,s1502,s204,s320]) ).
cnf(s1981,plain,
( ~ spl0_94
| ~ spl0_10
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s443,s1963,s848,s180,s182,s1978,s790,s1607,s29,s894,s75,s308,s1970,s1958,s1975,s204,s320,s48]) ).
cnf(s1982,plain,
( spl0_33
| spl0_119
| ~ spl0_281
| ~ spl0_103
| ~ spl0_2 ),
inference(rat,[],[s1673,s1938,s930]) ).
cnf(s1983,plain,
( ~ spl0_136
| ~ spl0_35
| ~ spl0_45
| ~ spl0_6 ),
inference(rat,[],[s252,s282,s204]) ).
cnf(s1984,plain,
( ~ spl0_41
| spl0_94
| ~ spl0_10
| ~ spl0_7
| ~ spl0_6
| ~ spl0_103
| ~ spl0_2 ),
inference(rat,[],[s1596,s1263,s831,s333,s539,s544,s1742,s366,s1983,s1558,s791,s1607,s29,s308,s335,s788,s1982,s349,s1588,s320]) ).
cnf(s1985,plain,
( ~ spl0_45
| ~ spl0_36
| spl0_41
| spl0_94
| ~ spl0_10
| ~ spl0_6 ),
inference(rat,[],[s1740,s1442,s180,s1983,s1937,s791,s320,s48]) ).
cnf(s1986,plain,
( spl0_33
| ~ spl0_10
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1232,s1953,s299,s785,s1752,s38,s1200,s1959,s50,s1607,s1985,s1306,s1199,s29,s930,s1613,s1754,s312,s1984,s1981,s1975,s360,s1980,s48]) ).
cnf(s1987,plain,
( ~ spl0_10
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s414,s1253,s1740,s356,s348,s180,s1983,s1937,s791,s1607,s1547,s308,s1568,s335,s788,s1986,s1984,s1981,s360,s1980,s1975,s204,s320,s48]) ).
cnf(s1988,plain,
( ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s695,s832,s312,s266,s1607,s1220,s894,s864,s1492,s8,s686,s687,s782,s6,s1987,s320]) ).
cnf(s1990,plain,
( spl0_41
| ~ spl0_105
| ~ spl0_373
| ~ spl0_28
| ~ spl0_10
| spl0_6
| ~ spl0_4 ),
inference(rat,[],[s1197,s267,s588,s1651,s1659,s1143,s1175,s1723,s1838,s1582,s889,s1091,s1695,s234,s320,s468]) ).
cnf(s1991,plain,
( spl0_33
| ~ spl0_10
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1220,s1649,s1839,s1143,s1751,s218,s619,s1723,s1241,s1673,s1982,s1497,s1588,s1990,s1091,s1695,s1314,s1515,s1224,s930,s1613,s360,s1980,s10,s1988,s320,s468,s234]) ).
cnf(s1992,plain,
( spl0_117
| ~ spl0_35
| ~ spl0_45
| spl0_119
| spl0_137
| ~ spl0_94
| ~ spl0_10 ),
inference(rat,[],[s385,s252,s1649,s1740,s1220,s217,s204,s320]) ).
cnf(s1993,plain,
( ~ spl0_35
| ~ spl0_45
| spl0_119
| ~ spl0_161
| spl0_137
| ~ spl0_94
| ~ spl0_10
| spl0_6 ),
inference(rat,[],[s1735,s252,s1776,s587,s1992,s1571,s204]) ).
cnf(s1994,plain,
( spl0_35
| ~ spl0_247
| spl0_135
| spl0_137
| ~ spl0_41
| spl0_6 ),
inference(rat,[],[s1497,s1224,s1241,s75,s1709,s1608,s1467,s48]) ).
cnf(s1995,plain,
( ~ spl0_247
| spl0_119
| ~ spl0_161
| ~ spl0_94
| ~ spl0_41
| ~ spl0_10
| spl0_6 ),
inference(rat,[],[s1607,s308,s1993,s181,s1994,s301,s217]) ).
cnf(s1996,plain,
( spl0_119
| ~ spl0_161
| ~ spl0_94
| ~ spl0_41
| ~ spl0_10
| spl0_6 ),
inference(rat,[],[s786,s849,s1351,s35,s1558,s1671,s1611,s1598,s698,s1995,s1571]) ).
cnf(s1997,plain,
( ~ spl0_118
| ~ spl0_274
| spl0_135
| spl0_124
| spl0_137
| ~ spl0_269 ),
inference(rat,[],[s1642,s1192,s190,s1649]) ).
cnf(s1998,plain,
( ~ spl0_94
| ~ spl0_41
| ~ spl0_33
| ~ spl0_10
| spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1735,s1776,s869,s1220,s1997,s1241,s218,s619,s334,s350,s1996,s1571,s1865,s301,s606,s1557,s320,s204]) ).
cnf(s1999,plain,
( spl0_117
| ~ spl0_247
| spl0_119
| ~ spl0_41
| ~ spl0_33
| ~ spl0_10
| ~ spl0_15
| ~ spl0_2 ),
inference(rat,[],[s1788,s1691,s1481,s1124,s1091,s1802,s1696,s1828,s277,s496,s1175,s1241,s539,s1192,s832,s1642,s266,s1649,s1740,s1220,s1557,s278,s217,s320,s234]) ).
cnf(s2000,plain,
( spl0_136
| spl0_119
| ~ spl0_281
| ~ spl0_10
| spl0_6 ),
inference(rat,[],[s1778,s1742,s320]) ).
cnf(s2001,plain,
( ~ spl0_247
| spl0_148
| spl0_119
| ~ spl0_8
| spl0_94
| ~ spl0_41
| ~ spl0_33
| ~ spl0_10
| ~ spl0_15
| ~ spl0_2 ),
inference(rat,[],[s832,s592,s1775,s1780,s829,s355,s402,s1852,s1999,s1836,s1570,s357,s217,s1745,s1588,s320]) ).
cnf(s2002,plain,
( ~ spl0_120
| ~ spl0_49
| ~ spl0_33
| spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1571,s1865,s1671,s352,s204]) ).
cnf(s2003,plain,
( ~ spl0_310
| ~ spl0_121
| ~ spl0_133
| spl0_119
| ~ spl0_10 ),
inference(rat,[],[s1456,s1469,s1481,s234]) ).
cnf(s2004,plain,
( spl0_119
| ~ spl0_41
| ~ spl0_10
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1681,s1830,s1807,s1802,s1801,s1091,s2003,s1224,s65,s1175,s1263,s1506,s1651,s333,s829,s1776,s587,s1571,s1865,s1767,s1220,s1649,s1192,s1241,s2002,s698,s2001,s1642,s2000,s217,s18,s1557,s1588,s1187,s357,s1998,s1991,s1988,s234,s320,s204]) ).
cnf(s2005,plain,
( ~ spl0_202
| ~ spl0_35
| ~ spl0_247
| ~ spl0_31
| ~ spl0_15
| ~ spl0_2 ),
inference(rat,[],[s1177,s1221,s1788]) ).
cnf(s2006,plain,
( ~ spl0_134
| spl0_317
| ~ spl0_315
| ~ spl0_274
| ~ spl0_269
| ~ spl0_15
| ~ spl0_2 ),
inference(rat,[],[s1091,s1143,s1124,s1732,s1642,s1192,s320,s234]) ).
cnf(s2007,plain,
( ~ spl0_247
| spl0_32
| ~ spl0_274
| spl0_131
| ~ spl0_119
| spl0_94
| ~ spl0_269
| ~ spl0_10
| spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1735,s1775,s869,s1220,s1649,s2006,s1724,s1691,s2005,s791,s1607,s1155,s18,s218,s29,s320]) ).
cnf(s2008,plain,
( ~ spl0_148
| spl0_247
| ~ spl0_269
| ~ spl0_15
| ~ spl0_2 ),
inference(rat,[],[s1732,s893,s1642]) ).
cnf(s2009,plain,
( ~ spl0_41
| ~ spl0_10
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1175,s1651,s1778,s366,s869,s1220,s1649,s1192,s2008,s2007,s88,s1241,s218,s338,s334,s350,s2004,s1998,s1588,s18,s1988,s1557,s1991,s320]) ).
cnf(s2010,plain,
( ~ spl0_310
| spl0_237
| ~ spl0_164
| ~ spl0_121
| spl0_168 ),
inference(rat,[],[s1899,s1124,s1416]) ).
cnf(s2011,plain,
( ~ spl0_10
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1177,s965,s1810,s1804,s1091,s2010,s786,s928,s1540,s1425,s1841,s1779,s1780,s1175,s1775,s1651,s1735,s1732,s366,s869,s1220,s1649,s1192,s2008,s1890,s1607,s88,s1937,s619,s1241,s338,s350,s1584,s1582,s1868,s215,s889,s2009,s1557,s1991,s939,s18,s1988,s320,s234,s204]) ).
cnf(s2012,plain,
( ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s1488,s219,s338,s818,s88,s312,s1607,s894,s864,s8,s686,s687,s782,s320]) ).
cnf(s2013,plain,
( ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s510,s852,s1229,s4,s34,s752,s798,s2,s2011,s468,s204]) ).
cnf(s2014,plain,
~ spl0_2,
inference(rat,[],[s2013,s6,s2012]) ).
cnf(s2015,plain,
spl0_1,
inference(rat,[],[s19,s2014]) ).
cnf(s2016,plain,
spl0_24,
inference(rat,[],[s707,s2015]) ).
cnf(s2017,plain,
spl0_9,
inference(rat,[],[s20,s2015]) ).
cnf(s2019,plain,
~ spl0_28,
inference(rat,[],[s741,s2017,s2016]) ).
cnf(s2024,plain,
~ spl0_45,
inference(rat,[],[s782,s2017]) ).
cnf(s2029,plain,
spl0_11,
inference(rat,[],[s8,s2017]) ).
cnf(s2034,plain,
~ spl0_32,
inference(rat,[],[s308,s2019]) ).
cnf(s2045,plain,
spl0_247,
inference(rat,[],[s894,s2029]) ).
cnf(s2050,plain,
$false,
inference(rat,[],[s1607,s2024,s2034,s2045]) ).
thf(f24215,plain,
$false,
inference(avatar_sat_refutation,[],[s2050]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA163^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n004.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 19:06:22 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 Running higher-order theorem proving
% 0.10/0.27 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.88/0.48 % (1702386)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.88/0.48 % (1702393)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3699367148:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.88/0.48 % (1702395)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1767009047:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.88/0.48 % (1702393)Instruction limit reached!
% 0.88/0.48 % (1702393)------------------------------
% 0.88/0.48 % (1702393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.48 % (1702393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.48 % (1702393)CaDiCaL version: 2.1.3
% 0.88/0.48 % (1702393)Termination reason: Instruction limit
% 0.88/0.48 % (1702393)Termination phase: Saturation
% 0.88/0.48 % (1702393)Time elapsed: 0.004 s
% 0.88/0.48 % (1702393)Peak memory usage: 12 MB
% 0.88/0.48 % (1702393)Instructions burned: 3 (million)
% 0.88/0.48 % (1702391)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3814850468:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.88/0.48 % (1702397)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.88/0.48 % (1702397)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.88/0.48 % (1702395)Instruction limit reached!
% 0.88/0.48 % (1702395)------------------------------
% 0.88/0.48 % (1702395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.48 % (1702395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.48 % (1702395)CaDiCaL version: 2.1.3
% 0.88/0.48 % (1702395)Termination reason: Instruction limit
% 0.88/0.48 % (1702395)Termination phase: Saturation
% 0.88/0.48 % (1702395)Time elapsed: 0.012 s
% 0.88/0.48 % (1702395)Peak memory usage: 11 MB
% 0.88/0.48 % (1702395)Instructions burned: 25 (million)
% 0.88/0.48 % (1702396)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3030909848:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.88/0.48 % (1702397)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=1303742910:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.88/0.48 % (1702394)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=3436310501:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.88/0.48 % (1702392)lrs+10_16_si=on:nwc=1.5:random_seed=2996906575:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.88/0.48 % (1702392)Instruction limit reached!
% 0.88/0.48 % (1702392)------------------------------
% 0.88/0.48 % (1702392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.48 % (1702392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.48 % (1702392)CaDiCaL version: 2.1.3
% 0.88/0.48 % (1702392)Termination reason: Instruction limit
% 0.88/0.48 % (1702392)Termination phase: Saturation
% 0.88/0.48 % (1702392)Time elapsed: 0.016 s
% 0.88/0.48 % (1702392)Peak memory usage: 12 MB
% 0.88/0.48 % (1702392)Instructions burned: 19 (million)
% 0.88/0.48 % (1702400)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1183558637:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.88/0.48 % (1702400)Instruction limit reached!
% 0.88/0.48 % (1702400)------------------------------
% 0.88/0.48 % (1702400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.48 % (1702400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.48 % (1702400)CaDiCaL version: 2.1.3
% 0.88/0.48 % (1702400)Termination reason: Instruction limit
% 0.88/0.48 % (1702400)Termination phase: Saturation
% 0.88/0.48 % (1702400)Time elapsed: 0.002 s
% 0.88/0.48 % (1702400)Peak memory usage: 12 MB
% 0.88/0.48 % (1702400)Instructions burned: 2 (million)
% 0.88/0.48 % (1702409)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3421770742:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.88/0.53 % (1702407)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.88/0.53 % (1702409)Instruction limit reached!
% 0.88/0.53 % (1702409)------------------------------
% 0.88/0.53 % (1702409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.53 % (1702409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.53 % (1702409)CaDiCaL version: 2.1.3
% 0.88/0.53 % (1702409)Termination reason: Instruction limit
% 0.88/0.53 % (1702409)Termination phase: Saturation
% 0.88/0.53 % (1702409)Time elapsed: 0.007 s
% 0.88/0.53 % (1702409)Peak memory usage: 12 MB
% 0.88/0.53 % (1702409)Instructions burned: 14 (million)
% 0.88/0.53 % (1702391)Instruction limit reached!
% 0.88/0.53 % (1702391)------------------------------
% 0.88/0.53 % (1702391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.53 % (1702391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.53 % (1702391)CaDiCaL version: 2.1.3
% 0.88/0.53 % (1702391)Termination reason: Instruction limit
% 0.88/0.53 % (1702391)Termination phase: Saturation
% 0.88/0.53 % (1702391)Time elapsed: 0.062 s
% 0.88/0.53 % (1702391)Peak memory usage: 12 MB
% 0.88/0.53 % (1702391)Instructions burned: 88 (million)
% 0.88/0.53 % (1702407)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=635670917:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.88/0.53 % (1702402)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1062858869:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.88/0.53 % (1702407)Instruction limit reached!
% 0.88/0.53 % (1702407)------------------------------
% 0.88/0.53 % (1702407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.53 % (1702407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.53 % (1702407)CaDiCaL version: 2.1.3
% 0.88/0.53 % (1702407)Termination reason: Instruction limit
% 0.88/0.53 % (1702407)Termination phase: Saturation
% 0.88/0.53 % (1702407)Time elapsed: 0.007 s
% 0.88/0.53 % (1702407)Peak memory usage: 12 MB
% 0.88/0.53 % (1702407)Instructions burned: 7 (million)
% 0.88/0.53 % (1702396)Instruction limit reached!
% 0.88/0.53 % (1702396)------------------------------
% 0.88/0.53 % (1702396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.53 % (1702396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.53 % (1702396)CaDiCaL version: 2.1.3
% 0.88/0.53 % (1702396)Termination reason: Instruction limit
% 0.88/0.53 % (1702396)Termination phase: Saturation
% 0.88/0.53 % (1702396)Time elapsed: 0.062 s
% 0.88/0.53 % (1702396)Peak memory usage: 12 MB
% 0.88/0.53 % (1702396)Instructions burned: 76 (million)
% 0.88/0.53 % (1702411)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.88/0.53 % (1702411)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.88/0.53 % (1702402)Instruction limit reached!
% 0.88/0.53 % (1702402)------------------------------
% 0.88/0.53 % (1702402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.53 % (1702402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.53 % (1702402)CaDiCaL version: 2.1.3
% 0.88/0.53 % (1702402)Termination reason: Instruction limit
% 0.88/0.53 % (1702402)Termination phase: Saturation
% 0.88/0.53 % (1702402)Time elapsed: 0.010 s
% 0.88/0.53 % (1702402)Peak memory usage: 12 MB
% 0.88/0.53 % (1702402)Instructions burned: 5 (million)
% 0.88/0.53 % (1702411)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2945572973:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 0.88/0.53 % (1702411)Instruction limit reached!
% 0.88/0.53 % (1702411)------------------------------
% 0.88/0.53 % (1702411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.53 % (1702411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.53 % (1702411)CaDiCaL version: 2.1.3
% 0.88/0.53 % (1702411)Termination reason: Instruction limit
% 1.64/0.57 % (1702411)Termination phase: Saturation
% 1.64/0.57 % (1702411)Time elapsed: 0.013 s
% 1.64/0.57 % (1702411)Peak memory usage: 12 MB
% 1.64/0.57 % (1702411)Instructions burned: 29 (million)
% 1.64/0.57 % (1702413)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=4268356913:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.64/0.57 % (1702416)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.64/0.57 % (1702415)lrs+10_1_si=on:cs=on:random_seed=1560933263:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.64/0.57 % (1702416)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=1731699437:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.64/0.57 % (1702416)Instruction limit reached!
% 1.64/0.57 % (1702416)------------------------------
% 1.64/0.57 % (1702416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.57 % (1702416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.57 % (1702416)CaDiCaL version: 2.1.3
% 1.64/0.57 % (1702416)Termination reason: Instruction limit
% 1.64/0.57 % (1702416)Termination phase: Saturation
% 1.64/0.57 % (1702416)Time elapsed: 0.003 s
% 1.64/0.57 % (1702416)Peak memory usage: 11 MB
% 1.64/0.57 % (1702416)Instructions burned: 3 (million)
% 1.64/0.57 % (1702415)Instruction limit reached!
% 1.64/0.57 % (1702415)------------------------------
% 1.64/0.57 % (1702415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.57 % (1702415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.57 % (1702415)CaDiCaL version: 2.1.3
% 1.64/0.57 % (1702415)Termination reason: Instruction limit
% 1.64/0.57 % (1702415)Termination phase: Saturation
% 1.64/0.57 % (1702415)Time elapsed: 0.008 s
% 1.64/0.57 % (1702415)Peak memory usage: 12 MB
% 1.64/0.57 % (1702415)Instructions burned: 9 (million)
% 1.64/0.57 % (1702417)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3573743025:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.64/0.57 % (1702417)Refutation not found, incomplete strategy
% 1.64/0.57 % (1702417)------------------------------
% 1.64/0.57 % (1702417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.57 % (1702417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.57 % (1702417)CaDiCaL version: 2.1.3
% 1.64/0.57 % (1702417)Termination reason: Refutation not found, incomplete strategy
% 1.64/0.57 % (1702417)Time elapsed: 0.001 s
% 1.64/0.57 % (1702417)Peak memory usage: 11 MB
% 1.64/0.57 % (1702397)Instruction limit reached!
% 1.64/0.57 % (1702397)------------------------------
% 1.64/0.57 % (1702397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.57 % (1702417)------------------------------
% 1.64/0.57 % (1702417)------------------------------
% 1.64/0.57 % (1702397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.57 % (1702397)CaDiCaL version: 2.1.3
% 1.64/0.57 % (1702397)Termination reason: Instruction limit
% 1.64/0.57 % (1702397)Termination phase: Saturation
% 1.64/0.57 % (1702397)Time elapsed: 0.108 s
% 1.64/0.57 % (1702397)Peak memory usage: 12 MB
% 1.64/0.57 % (1702397)Instructions burned: 158 (million)
% 1.64/0.57 % (1702419)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3355736795:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.64/0.57 % (1702419)Refutation not found, incomplete strategy
% 1.64/0.57 % (1702419)------------------------------
% 1.64/0.57 % (1702419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.64/0.57 % (1702419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.64/0.57 % (1702419)CaDiCaL version: 2.1.3
% 1.64/0.57 % (1702419)Termination reason: Refutation not found, incomplete strategy
% 1.64/0.57 % (1702419)Time elapsed: 0.001 s
% 1.64/0.57 % (1702419)Peak memory usage: 11 MB
% 1.64/0.57 % (1702419)------------------------------
% 1.64/0.57 % (1702419)------------------------------
% 1.64/0.57 % (1702424)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1085435102:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.64/0.57 % (1702423)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2983464340:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 2.03/0.63 % (1702426)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=322128720:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 2.03/0.63 % (1702426)Refutation not found, incomplete strategy
% 2.03/0.63 % (1702426)------------------------------
% 2.03/0.63 % (1702426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.63 % (1702426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.63 % (1702426)CaDiCaL version: 2.1.3
% 2.03/0.63 % (1702426)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.63 % (1702426)Time elapsed: 0.001 s
% 2.03/0.63 % (1702426)Peak memory usage: 11 MB
% 2.03/0.63 % (1702426)------------------------------
% 2.03/0.63 % (1702426)------------------------------
% 2.03/0.63 % (1702424)Instruction limit reached!
% 2.03/0.63 % (1702424)------------------------------
% 2.03/0.63 % (1702424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.63 % (1702424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.63 % (1702424)CaDiCaL version: 2.1.3
% 2.03/0.63 % (1702424)Termination reason: Instruction limit
% 2.03/0.63 % (1702424)Termination phase: Saturation
% 2.03/0.63 % (1702424)Time elapsed: 0.015 s
% 2.03/0.63 % (1702424)Peak memory usage: 12 MB
% 2.03/0.63 % (1702424)Instructions burned: 15 (million)
% 2.03/0.63 % (1702423)Refutation not found, incomplete strategy
% 2.03/0.63 % (1702423)------------------------------
% 2.03/0.63 % (1702423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.63 % (1702423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.63 % (1702423)CaDiCaL version: 2.1.3
% 2.03/0.63 % (1702423)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.63 % (1702423)Time elapsed: 0.010 s
% 2.03/0.63 % (1702423)Peak memory usage: 11 MB
% 2.03/0.63 % (1702423)------------------------------
% 2.03/0.63 % (1702423)------------------------------
% 2.03/0.63 % (1702413)Instruction limit reached!
% 2.03/0.63 % (1702413)------------------------------
% 2.03/0.63 % (1702413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.63 % (1702413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.63 % (1702413)CaDiCaL version: 2.1.3
% 2.03/0.63 % (1702413)Termination reason: Instruction limit
% 2.03/0.63 % (1702413)Termination phase: Saturation
% 2.03/0.63 % (1702413)Time elapsed: 0.070 s
% 2.03/0.63 % (1702413)Peak memory usage: 12 MB
% 2.03/0.63 % (1702413)Instructions burned: 87 (million)
% 2.03/0.63 % (1702427)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=495066301:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 2.03/0.63 % (1702429)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2223562771:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 2.03/0.63 % (1702429)Refutation not found, incomplete strategy
% 2.03/0.63 % (1702429)------------------------------
% 2.03/0.63 % (1702429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.63 % (1702429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.63 % (1702429)CaDiCaL version: 2.1.3
% 2.03/0.63 % (1702429)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.63 % (1702429)Time elapsed: 0.001 s
% 2.03/0.63 % (1702429)Peak memory usage: 11 MB
% 2.03/0.63 % (1702433)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1513647664:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 2.03/0.63 % (1702429)------------------------------
% 2.03/0.63 % (1702429)------------------------------
% 2.03/0.63 % (1702434)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=4116065141:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.03/0.63 % (1702436)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.03/0.63 % (1702436)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.43/0.72 % (1702435)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3230647721:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.43/0.72 % (1702436)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=3154563305:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.43/0.72 % (1702427)Instruction limit reached!
% 2.43/0.72 % (1702427)------------------------------
% 2.43/0.72 % (1702427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.72 % (1702427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.72 % (1702427)CaDiCaL version: 2.1.3
% 2.43/0.72 % (1702427)Termination reason: Instruction limit
% 2.43/0.72 % (1702427)Termination phase: Saturation
% 2.43/0.72 % (1702427)Time elapsed: 0.017 s
% 2.43/0.72 % (1702427)Peak memory usage: 12 MB
% 2.43/0.72 % (1702427)Instructions burned: 14 (million)
% 2.43/0.72 % (1702440)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.43/0.72 % (1702440)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=358041012:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.43/0.72 % (1702434)Instruction limit reached!
% 2.43/0.72 % (1702434)------------------------------
% 2.43/0.72 % (1702434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.72 % (1702434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.72 % (1702434)CaDiCaL version: 2.1.3
% 2.43/0.72 % (1702434)Termination reason: Instruction limit
% 2.43/0.72 % (1702434)Termination phase: Saturation
% 2.43/0.72 % (1702434)Time elapsed: 0.018 s
% 2.43/0.72 % (1702434)Peak memory usage: 12 MB
% 2.43/0.72 % (1702434)Instructions burned: 23 (million)
% 2.43/0.72 % (1702433)Instruction limit reached!
% 2.43/0.72 % (1702433)------------------------------
% 2.43/0.72 % (1702433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.72 % (1702433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.72 % (1702433)CaDiCaL version: 2.1.3
% 2.43/0.72 % (1702433)Termination reason: Instruction limit
% 2.43/0.72 % (1702433)Termination phase: Saturation
% 2.43/0.72 % (1702433)Time elapsed: 0.023 s
% 2.43/0.72 % (1702433)Peak memory usage: 12 MB
% 2.43/0.72 % (1702433)Instructions burned: 26 (million)
% 2.43/0.72 % (1702436)Instruction limit reached!
% 2.43/0.72 % (1702436)------------------------------
% 2.43/0.72 % (1702436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.72 % (1702436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.72 % (1702436)CaDiCaL version: 2.1.3
% 2.43/0.72 % (1702436)Termination reason: Instruction limit
% 2.43/0.72 % (1702436)Termination phase: Saturation
% 2.43/0.72 % (1702436)Time elapsed: 0.014 s
% 2.43/0.72 % (1702436)Peak memory usage: 12 MB
% 2.43/0.72 % (1702436)Instructions burned: 14 (million)
% 2.43/0.72 % (1702440)Instruction limit reached!
% 2.43/0.72 % (1702440)------------------------------
% 2.43/0.72 % (1702440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.72 % (1702440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.72 % (1702440)CaDiCaL version: 2.1.3
% 2.43/0.72 % (1702440)Termination reason: Instruction limit
% 2.43/0.72 % (1702440)Termination phase: Saturation
% 2.43/0.72 % (1702440)Time elapsed: 0.006 s
% 2.43/0.72 % (1702440)Peak memory usage: 12 MB
% 2.43/0.72 % (1702440)Instructions burned: 8 (million)
% 2.43/0.72 % (1702449)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=729111236:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.43/0.72 % (1702444)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=2215689400:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.43/0.72 % (1702435)Instruction limit reached!
% 2.43/0.72 % (1702435)------------------------------
% 2.43/0.72 % (1702435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.72 % (1702435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.72 % (1702435)CaDiCaL version: 2.1.3
% 2.80/0.80 % (1702435)Termination reason: Instruction limit
% 2.80/0.80 % (1702435)Termination phase: Saturation
% 2.80/0.80 % (1702435)Time elapsed: 0.046 s
% 2.80/0.80 % (1702435)Peak memory usage: 12 MB
% 2.80/0.80 % (1702435)Instructions burned: 60 (million)
% 2.80/0.80 % (1702446)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=227281909:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.80/0.80 % (1702447)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3840217049:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.80/0.80 % (1702448)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3850765337:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.80/0.80 % (1702446)Instruction limit reached!
% 2.80/0.80 % (1702446)------------------------------
% 2.80/0.80 % (1702446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.80/0.80 % (1702446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/0.80 % (1702446)CaDiCaL version: 2.1.3
% 2.80/0.80 % (1702446)Termination reason: Instruction limit
% 2.80/0.80 % (1702446)Termination phase: Saturation
% 2.80/0.80 % (1702446)Time elapsed: 0.008 s
% 2.80/0.80 % (1702446)Peak memory usage: 12 MB
% 2.80/0.80 % (1702446)Instructions burned: 7 (million)
% 2.80/0.80 % (1702447)Instruction limit reached!
% 2.80/0.80 % (1702447)------------------------------
% 2.80/0.80 % (1702447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.80/0.80 % (1702447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/0.80 % (1702447)CaDiCaL version: 2.1.3
% 2.80/0.80 % (1702447)Termination reason: Instruction limit
% 2.80/0.80 % (1702447)Termination phase: Saturation
% 2.80/0.80 % (1702447)Time elapsed: 0.020 s
% 2.80/0.80 % (1702447)Peak memory usage: 11 MB
% 2.80/0.80 % (1702447)Instructions burned: 24 (million)
% 2.80/0.80 % (1702448)Instruction limit reached!
% 2.80/0.80 % (1702448)------------------------------
% 2.80/0.80 % (1702448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.80/0.80 % (1702448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/0.80 % (1702448)CaDiCaL version: 2.1.3
% 2.80/0.80 % (1702448)Termination reason: Instruction limit
% 2.80/0.80 % (1702448)Termination phase: Saturation
% 2.80/0.80 % (1702448)Time elapsed: 0.020 s
% 2.80/0.80 % (1702448)Peak memory usage: 12 MB
% 2.80/0.80 % (1702448)Instructions burned: 22 (million)
% 2.80/0.80 % (1702444)Instruction limit reached!
% 2.80/0.80 % (1702444)------------------------------
% 2.80/0.80 % (1702444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.80/0.80 % (1702444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/0.80 % (1702444)CaDiCaL version: 2.1.3
% 2.80/0.80 % (1702444)Termination reason: Instruction limit
% 2.80/0.80 % (1702444)Termination phase: Saturation
% 2.80/0.80 % (1702444)Time elapsed: 0.031 s
% 2.80/0.80 % (1702444)Peak memory usage: 12 MB
% 2.80/0.80 % (1702444)Instructions burned: 34 (million)
% 2.80/0.80 % (1702455)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2897126502:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.80/0.80 % (1702456)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3892821902:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/193Mi)
% 2.80/0.81 % (1702456)Refutation not found, incomplete strategy
% 2.80/0.81 % (1702456)------------------------------
% 2.80/0.81 % (1702456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.80/0.81 % (1702456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/0.81 % (1702456)CaDiCaL version: 2.1.3
% 2.80/0.81 % (1702456)Termination reason: Refutation not found, incomplete strategy
% 2.80/0.81 % (1702456)Time elapsed: 0.001 s
% 2.80/0.81 % (1702456)Peak memory usage: 11 MB
% 2.80/0.81 % (1702458)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.80/0.81 % (1702456)------------------------------
% 2.80/0.81 % (1702456)------------------------------
% 2.80/0.81 % (1702457)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=329000014:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 2.80/0.81 % (1702458)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3793849779:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 3.08/0.96 % (1702459)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=38211246:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 3.08/0.96 % (1702459)Refutation not found, incomplete strategy
% 3.08/0.96 % (1702459)------------------------------
% 3.08/0.96 % (1702459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.96 % (1702459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.96 % (1702459)CaDiCaL version: 2.1.3
% 3.08/0.96 % (1702459)Termination reason: Refutation not found, incomplete strategy
% 3.08/0.96 % (1702459)Time elapsed: 0.001 s
% 3.08/0.96 % (1702459)Peak memory usage: 11 MB
% 3.08/0.96 % (1702459)------------------------------
% 3.08/0.96 % (1702459)------------------------------
% 3.08/0.96 % (1702458)Instruction limit reached!
% 3.08/0.96 % (1702458)------------------------------
% 3.08/0.96 % (1702458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.96 % (1702458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.96 % (1702458)CaDiCaL version: 2.1.3
% 3.08/0.96 % (1702458)Termination reason: Instruction limit
% 3.08/0.96 % (1702458)Termination phase: Saturation
% 3.08/0.96 % (1702458)Time elapsed: 0.008 s
% 3.08/0.96 % (1702458)Peak memory usage: 12 MB
% 3.08/0.96 % (1702458)Instructions burned: 8 (million)
% 3.08/0.96 % (1702462)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=1179745052:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 3.08/0.96 % (1702462)Refutation not found, incomplete strategy
% 3.08/0.96 % (1702462)------------------------------
% 3.08/0.96 % (1702462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.96 % (1702462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.96 % (1702462)CaDiCaL version: 2.1.3
% 3.08/0.96 % (1702462)Termination reason: Refutation not found, incomplete strategy
% 3.08/0.96 % (1702462)Time elapsed: 0.001 s
% 3.08/0.96 % (1702462)Peak memory usage: 11 MB
% 3.08/0.96 % (1702462)------------------------------
% 3.08/0.96 % (1702462)------------------------------
% 3.08/0.96 % (1702457)Instruction limit reached!
% 3.08/0.96 % (1702457)------------------------------
% 3.08/0.96 % (1702457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.96 % (1702457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.96 % (1702457)CaDiCaL version: 2.1.3
% 3.08/0.96 % (1702457)Termination reason: Instruction limit
% 3.08/0.96 % (1702457)Termination phase: Saturation
% 3.08/0.96 % (1702457)Time elapsed: 0.033 s
% 3.08/0.96 % (1702457)Peak memory usage: 12 MB
% 3.08/0.96 % (1702457)Instructions burned: 43 (million)
% 3.08/0.96 % (1702466)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.08/0.96 % (1702467)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1847020741:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 3.08/0.96 % (1702466)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2174648834:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 3.08/0.96 % (1702466)Refutation not found, incomplete strategy
% 3.08/0.96 % (1702466)------------------------------
% 3.08/0.96 % (1702466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.96 % (1702466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/0.96 % (1702466)CaDiCaL version: 2.1.3
% 3.08/0.96 % (1702466)Termination reason: Refutation not found, incomplete strategy
% 3.08/0.96 % (1702466)Time elapsed: 0.001 s
% 3.08/0.96 % (1702466)Peak memory usage: 11 MB
% 3.08/0.96 % (1702466)Instructions burned: 1 (million)
% 3.08/0.96 % (1702466)------------------------------
% 3.08/0.96 % (1702466)------------------------------
% 3.08/0.96 % (1702455)Instruction limit reached!
% 3.08/0.96 % (1702455)------------------------------
% 3.08/0.96 % (1702455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/0.96 % (1702455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.04 % (1702455)CaDiCaL version: 2.1.3
% 3.08/1.04 % (1702455)Termination reason: Instruction limit
% 3.08/1.04 % (1702455)Termination phase: Saturation
% 3.08/1.04 % (1702455)Time elapsed: 0.106 s
% 3.08/1.04 % (1702455)Peak memory usage: 12 MB
% 3.08/1.04 % (1702455)Instructions burned: 143 (million)
% 3.08/1.04 % (1702469)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3422766759:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 3.08/1.04 % (1702469)Refutation not found, incomplete strategy
% 3.08/1.04 % (1702469)------------------------------
% 3.08/1.04 % (1702469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/1.04 % (1702469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.04 % (1702469)CaDiCaL version: 2.1.3
% 3.08/1.04 % (1702469)Termination reason: Refutation not found, incomplete strategy
% 3.08/1.04 % (1702469)Time elapsed: 0.001 s
% 3.08/1.04 % (1702469)Peak memory usage: 12 MB
% 3.08/1.04 % (1702469)Instructions burned: 2 (million)
% 3.08/1.04 % (1702470)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=1981138020:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 3.08/1.04 % (1702394)Instruction limit reached!
% 3.08/1.04 % (1702394)------------------------------
% 3.08/1.04 % (1702394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/1.04 % (1702394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.04 % (1702394)CaDiCaL version: 2.1.3
% 3.08/1.04 % (1702394)Termination reason: Instruction limit
% 3.08/1.04 % (1702394)Termination phase: Saturation
% 3.08/1.04 % (1702394)Time elapsed: 0.388 s
% 3.08/1.04 % (1702394)Peak memory usage: 13 MB
% 3.08/1.04 % (1702394)Instructions burned: 635 (million)
% 3.08/1.04 % (1702467)Instruction limit reached!
% 3.08/1.04 % (1702467)------------------------------
% 3.08/1.04 % (1702467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/1.04 % (1702467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.04 % (1702467)CaDiCaL version: 2.1.3
% 3.08/1.04 % (1702467)Termination reason: Instruction limit
% 3.08/1.04 % (1702467)Termination phase: Saturation
% 3.08/1.04 % (1702467)Time elapsed: 0.037 s
% 3.08/1.04 % (1702467)Peak memory usage: 12 MB
% 3.08/1.04 % (1702467)Instructions burned: 22 (million)
% 3.08/1.04 % (1702469)------------------------------
% 3.08/1.04 % (1702469)------------------------------
% 3.08/1.04 % (1702476)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=560674427:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 3.08/1.04 % (1702476)Refutation not found, incomplete strategy
% 3.08/1.04 % (1702476)------------------------------
% 3.08/1.04 % (1702476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.08/1.04 % (1702476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.08/1.04 % (1702476)CaDiCaL version: 2.1.3
% 3.08/1.04 % (1702476)Termination reason: Refutation not found, incomplete strategy
% 3.08/1.04 % (1702476)Time elapsed: 0.002 s
% 3.08/1.04 % (1702476)Peak memory usage: 11 MB
% 3.08/1.04 % (1702476)Instructions burned: 1 (million)
% 3.08/1.04 % (1702476)------------------------------
% 3.08/1.04 % (1702476)------------------------------
% 3.08/1.04 % (1702472)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=860527271:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 3.08/1.04 % (1702474)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=417796477:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 3.08/1.04 % (1702477)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3626603999:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2995 on theBenchmark for (2995ds/21Mi)
% 3.08/1.04 % (1702478)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.08/1.04 % (1702477)Instruction limit reached!
% 3.08/1.04 % (1702477)------------------------------
% 3.08/1.04 % (1702477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.48/1.11 % (1702477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.11 % (1702477)CaDiCaL version: 2.1.3
% 4.48/1.11 % (1702477)Termination reason: Instruction limit
% 4.48/1.11 % (1702477)Termination phase: Saturation
% 4.48/1.11 % (1702477)Time elapsed: 0.020 s
% 4.48/1.11 % (1702477)Peak memory usage: 12 MB
% 4.48/1.11 % (1702477)Instructions burned: 22 (million)
% 4.48/1.11 % (1702478)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4177668480:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 4.48/1.11 % (1702474)Instruction limit reached!
% 4.48/1.11 % (1702474)------------------------------
% 4.48/1.11 % (1702474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.48/1.11 % (1702474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.11 % (1702474)CaDiCaL version: 2.1.3
% 4.48/1.11 % (1702474)Termination reason: Instruction limit
% 4.48/1.11 % (1702474)Termination phase: Saturation
% 4.48/1.11 % (1702474)Time elapsed: 0.040 s
% 4.48/1.11 % (1702474)Peak memory usage: 12 MB
% 4.48/1.11 % (1702474)Instructions burned: 45 (million)
% 4.48/1.11 % (1702481)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=227735360:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 4.48/1.11 % (1702481)Instruction limit reached!
% 4.48/1.11 % (1702481)------------------------------
% 4.48/1.11 % (1702481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.48/1.11 % (1702481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.11 % (1702481)CaDiCaL version: 2.1.3
% 4.48/1.11 % (1702481)Termination reason: Instruction limit
% 4.48/1.11 % (1702481)Termination phase: Saturation
% 4.48/1.11 % (1702481)Time elapsed: 0.032 s
% 4.48/1.11 % (1702481)Peak memory usage: 12 MB
% 4.48/1.11 % (1702481)Instructions burned: 14 (million)
% 4.48/1.11 % (1702486)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=1681241121:i=66:s2at=3:nm=2:rtra=on:rawr=on_2994 on theBenchmark for (2994ds/66Mi)
% 4.48/1.11 % (1702487)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1197339840:i=51:fsr=off:rtra=on_2994 on theBenchmark for (2994ds/51Mi)
% 4.48/1.11 % (1702487)Refutation not found, incomplete strategy
% 4.48/1.11 % (1702487)------------------------------
% 4.48/1.11 % (1702487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.48/1.11 % (1702487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.11 % (1702487)CaDiCaL version: 2.1.3
% 4.48/1.11 % (1702487)Termination reason: Refutation not found, incomplete strategy
% 4.48/1.11 % (1702487)Time elapsed: 0.005 s
% 4.48/1.11 % (1702487)Peak memory usage: 11 MB
% 4.48/1.11 % (1702487)Instructions burned: 1 (million)
% 4.48/1.11 % (1702487)------------------------------
% 4.48/1.11 % (1702487)------------------------------
% 4.48/1.11 % (1702489)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=172753081:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/31Mi)
% 4.48/1.11 % (1702478)Instruction limit reached!
% 4.48/1.11 % (1702478)------------------------------
% 4.48/1.11 % (1702478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.48/1.11 % (1702478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.11 % (1702478)CaDiCaL version: 2.1.3
% 4.48/1.11 % (1702478)Termination reason: Instruction limit
% 4.48/1.11 % (1702478)Termination phase: Saturation
% 4.48/1.11 % (1702478)Time elapsed: 0.137 s
% 4.48/1.11 % (1702478)Peak memory usage: 12 MB
% 4.48/1.11 % (1702478)Instructions burned: 201 (million)
% 4.48/1.11 % (1702492)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2971150533:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2993 on theBenchmark for (2993ds/137Mi)
% 4.48/1.11 % (1702489)Instruction limit reached!
% 4.48/1.11 % (1702489)------------------------------
% 4.48/1.11 % (1702489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.48/1.11 % (1702489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.11 % (1702489)CaDiCaL version: 2.1.3
% 4.48/1.11 % (1702489)Termination reason: Instruction limit
% 4.48/1.11 % (1702489)Termination phase: Saturation
% 4.48/1.19 % (1702489)Time elapsed: 0.038 s
% 4.48/1.19 % (1702489)Peak memory usage: 12 MB
% 4.48/1.19 % (1702489)Instructions burned: 31 (million)
% 4.48/1.19 % (1702486)Instruction limit reached!
% 4.48/1.19 % (1702486)------------------------------
% 4.48/1.19 % (1702486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.48/1.19 % (1702486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.19 % (1702486)CaDiCaL version: 2.1.3
% 4.48/1.19 % (1702486)Termination reason: Instruction limit
% 4.48/1.19 % (1702486)Termination phase: Saturation
% 4.48/1.19 % (1702486)Time elapsed: 0.097 s
% 4.48/1.19 % (1702486)Peak memory usage: 12 MB
% 4.48/1.19 % (1702486)Instructions burned: 66 (million)
% 4.48/1.19 % (1702449)Instruction limit reached!
% 4.48/1.19 % (1702449)------------------------------
% 4.48/1.19 % (1702449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.48/1.19 % (1702449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.19 % (1702449)CaDiCaL version: 2.1.3
% 4.48/1.19 % (1702449)Termination reason: Instruction limit
% 4.48/1.19 % (1702449)Termination phase: Saturation
% 4.48/1.19 % (1702449)Time elapsed: 0.407 s
% 4.48/1.19 % (1702449)Peak memory usage: 13 MB
% 4.48/1.19 % (1702449)Instructions burned: 1241 (million)
% 4.48/1.19 % (1702494)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=531335463:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 4.48/1.19 % (1702498)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3320816294:st=2:i=246:sd=3:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/246Mi)
% 4.48/1.19 % (1702496)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=455847426:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2993 on theBenchmark for (2993ds/67Mi)
% 4.48/1.19 % (1702498)Refutation not found, incomplete strategy
% 4.48/1.19 % (1702498)------------------------------
% 4.48/1.19 % (1702498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.48/1.19 % (1702498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.19 % (1702498)CaDiCaL version: 2.1.3
% 4.48/1.19 % (1702498)Termination reason: Refutation not found, incomplete strategy
% 4.48/1.19 % (1702498)Time elapsed: 0.0000 s
% 4.48/1.19 % (1702498)Peak memory usage: 11 MB
% 4.48/1.19 % (1702498)------------------------------
% 4.48/1.19 % (1702498)------------------------------
% 4.48/1.19 % (1702496)Refutation not found, incomplete strategy
% 4.48/1.19 % (1702496)------------------------------
% 4.48/1.19 % (1702496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.48/1.19 % (1702496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.19 % (1702496)CaDiCaL version: 2.1.3
% 4.48/1.19 % (1702496)Termination reason: Refutation not found, incomplete strategy
% 4.48/1.19 % (1702496)Time elapsed: 0.002 s
% 4.48/1.19 % (1702496)Peak memory usage: 11 MB
% 4.48/1.19 % (1702496)Instructions burned: 1 (million)
% 4.48/1.19 % (1702497)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 4.48/1.19 % (1702496)------------------------------
% 4.48/1.19 % (1702496)------------------------------
% 4.48/1.19 % (1702497)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1589985185:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2993 on theBenchmark for (2993ds/180Mi)
% 4.48/1.19 % (1702494)Instruction limit reached!
% 4.48/1.19 % (1702494)------------------------------
% 4.48/1.19 % (1702494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.48/1.19 % (1702494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.48/1.19 % (1702494)CaDiCaL version: 2.1.3
% 4.48/1.19 % (1702494)Termination reason: Instruction limit
% 4.48/1.19 % (1702494)Termination phase: Saturation
% 4.48/1.19 % (1702494)Time elapsed: 0.030 s
% 4.48/1.19 % (1702494)Peak memory usage: 12 MB
% 4.48/1.19 % (1702494)Instructions burned: 34 (million)
% 4.48/1.19 % (1702502)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=744573202:cond=on:i=96:bd=all:rtra=on_2992 on theBenchmark for (2992ds/96Mi)
% 4.48/1.19 % (1702505)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4169295174:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/874Mi)
% 4.48/1.19 % (1702505)Refutation not found, incomplete strategy
% 4.48/1.19 % (1702505)------------------------------
% 5.19/1.31 % (1702505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.31 % (1702505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.31 % (1702505)CaDiCaL version: 2.1.3
% 5.19/1.31 % (1702505)Termination reason: Refutation not found, incomplete strategy
% 5.19/1.31 % (1702505)Time elapsed: 0.001 s
% 5.19/1.31 % (1702505)Peak memory usage: 11 MB
% 5.19/1.31 % (1702505)------------------------------
% 5.19/1.31 % (1702505)------------------------------
% 5.19/1.31 % (1702503)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3021843670:i=427:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/427Mi)
% 5.19/1.31 % (1702502)Instruction limit reached!
% 5.19/1.31 % (1702502)------------------------------
% 5.19/1.31 % (1702502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.31 % (1702502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.31 % (1702502)CaDiCaL version: 2.1.3
% 5.19/1.31 % (1702502)Termination reason: Instruction limit
% 5.19/1.31 % (1702502)Termination phase: Saturation
% 5.19/1.31 % (1702502)Time elapsed: 0.041 s
% 5.19/1.31 % (1702502)Peak memory usage: 12 MB
% 5.19/1.31 % (1702502)Instructions burned: 97 (million)
% 5.19/1.31 % (1702503)Refutation not found, incomplete strategy
% 5.19/1.31 % (1702503)------------------------------
% 5.19/1.31 % (1702503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.31 % (1702503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.31 % (1702503)CaDiCaL version: 2.1.3
% 5.19/1.31 % (1702503)Termination reason: Refutation not found, incomplete strategy
% 5.19/1.31 % (1702503)Time elapsed: 0.0000 s
% 5.19/1.31 % (1702503)Peak memory usage: 11 MB
% 5.19/1.31 % (1702503)------------------------------
% 5.19/1.31 % (1702503)------------------------------
% 5.19/1.31 % (1702470)Instruction limit reached!
% 5.19/1.31 % (1702470)------------------------------
% 5.19/1.31 % (1702470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.31 % (1702470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.31 % (1702470)CaDiCaL version: 2.1.3
% 5.19/1.31 % (1702470)Termination reason: Instruction limit
% 5.19/1.31 % (1702470)Termination phase: Saturation
% 5.19/1.31 % (1702470)Time elapsed: 0.323 s
% 5.19/1.31 % (1702470)Peak memory usage: 14 MB
% 5.19/1.31 % (1702470)Instructions burned: 316 (million)
% 5.19/1.31 % (1702508)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2570018690:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/515Mi)
% 5.19/1.31 % (1702508)Refutation not found, incomplete strategy
% 5.19/1.31 % (1702508)------------------------------
% 5.19/1.31 % (1702508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.31 % (1702508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.31 % (1702508)CaDiCaL version: 2.1.3
% 5.19/1.31 % (1702508)Termination reason: Refutation not found, incomplete strategy
% 5.19/1.31 % (1702508)Time elapsed: 0.001 s
% 5.19/1.31 % (1702508)Peak memory usage: 12 MB
% 5.19/1.31 % (1702508)------------------------------
% 5.19/1.31 % (1702508)------------------------------
% 5.19/1.31 % (1702492)Instruction limit reached!
% 5.19/1.31 % (1702492)------------------------------
% 5.19/1.31 % (1702492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.31 % (1702492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.31 % (1702492)CaDiCaL version: 2.1.3
% 5.19/1.31 % (1702492)Termination reason: Instruction limit
% 5.19/1.31 % (1702492)Termination phase: Saturation
% 5.19/1.31 % (1702492)Time elapsed: 0.146 s
% 5.19/1.31 % (1702492)Peak memory usage: 12 MB
% 5.19/1.31 % (1702492)Instructions burned: 138 (million)
% 5.19/1.31 % (1702511)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=247860375:i=44:ep=R:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/44Mi)
% 5.19/1.31 % (1702510)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3530911747:st=1.5:i=130:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 5.19/1.31 % (1702510)Refutation not found, incomplete strategy
% 5.19/1.31 % (1702510)------------------------------
% 5.19/1.31 % (1702510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.19/1.31 % (1702510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.19/1.31 % (1702510)CaDiCaL version: 2.1.3
% 5.95/1.41 % (1702510)Termination reason: Refutation not found, incomplete strategy
% 5.95/1.41 % (1702510)Time elapsed: 0.002 s
% 5.95/1.41 % (1702510)Peak memory usage: 11 MB
% 5.95/1.41 % (1702510)Instructions burned: 1 (million)
% 5.95/1.41 % (1702514)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1177362871:i=450:rtra=on:ixr=off:ntd=on_2991 on theBenchmark for (2991ds/450Mi)
% 5.95/1.41 % (1702510)------------------------------
% 5.95/1.41 % (1702510)------------------------------
% 5.95/1.41 % (1702512)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2127773747:s2a=on:i=571:nm=16:rtra=on_2992 on theBenchmark for (2992ds/571Mi)
% 5.95/1.41 % (1702512)Refutation not found, incomplete strategy
% 5.95/1.41 % (1702512)------------------------------
% 5.95/1.41 % (1702512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.95/1.41 % (1702512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.41 % (1702512)CaDiCaL version: 2.1.3
% 5.95/1.41 % (1702512)Termination reason: Refutation not found, incomplete strategy
% 5.95/1.41 % (1702512)Time elapsed: 0.002 s
% 5.95/1.41 % (1702512)Peak memory usage: 11 MB
% 5.95/1.41 % (1702512)Instructions burned: 1 (million)
% 5.95/1.41 % (1702512)------------------------------
% 5.95/1.41 % (1702512)------------------------------
% 5.95/1.41 % (1702511)Instruction limit reached!
% 5.95/1.41 % (1702511)------------------------------
% 5.95/1.41 % (1702511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.95/1.41 % (1702511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.41 % (1702511)CaDiCaL version: 2.1.3
% 5.95/1.41 % (1702511)Termination reason: Instruction limit
% 5.95/1.41 % (1702511)Termination phase: Saturation
% 5.95/1.41 % (1702511)Time elapsed: 0.018 s
% 5.95/1.41 % (1702511)Peak memory usage: 12 MB
% 5.95/1.41 % (1702511)Instructions burned: 45 (million)
% 5.95/1.41 % (1702515)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3221092162:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/95Mi)
% 5.95/1.41 % (1702520)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=1119918719:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2991 on theBenchmark for (2991ds/65Mi)
% 5.95/1.41 % (1702522)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=2002717873:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2991 on theBenchmark for (2991ds/5755Mi)
% 5.95/1.41 % (1702522)Refutation not found, incomplete strategy
% 5.95/1.41 % (1702522)------------------------------
% 5.95/1.41 % (1702522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.95/1.41 % (1702522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.41 % (1702522)CaDiCaL version: 2.1.3
% 5.95/1.41 % (1702522)Termination reason: Refutation not found, incomplete strategy
% 5.95/1.41 % (1702522)Time elapsed: 0.0000 s
% 5.95/1.41 % (1702522)Peak memory usage: 12 MB
% 5.95/1.41 % (1702522)------------------------------
% 5.95/1.41 % (1702522)------------------------------
% 5.95/1.41 % (1702497)Instruction limit reached!
% 5.95/1.41 % (1702497)------------------------------
% 5.95/1.41 % (1702497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.95/1.41 % (1702497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.95/1.41 % (1702497)CaDiCaL version: 2.1.3
% 5.95/1.41 % (1702497)Termination reason: Instruction limit
% 5.95/1.41 % (1702497)Termination phase: Saturation
% 5.95/1.41 % (1702497)Time elapsed: 0.143 s
% 5.95/1.41 % (1702497)Peak memory usage: 12 MB
% 5.95/1.41 % (1702497)Instructions burned: 180 (million)
% 5.95/1.41 % (1702521)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=513715645: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_2991 on theBenchmark for (2991ds/105Mi)
% 5.95/1.41 % (1702527)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2200629149:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/495Mi)
% 5.95/1.41 % (1702520)Instruction limit reached!
% 5.95/1.41 % (1702520)------------------------------
% 6.01/1.59 % (1702520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.59 % (1702520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.59 % (1702520)CaDiCaL version: 2.1.3
% 6.01/1.59 % (1702520)Termination reason: Instruction limit
% 6.01/1.59 % (1702520)Termination phase: Saturation
% 6.01/1.59 % (1702520)Time elapsed: 0.059 s
% 6.01/1.59 % (1702520)Peak memory usage: 13 MB
% 6.01/1.59 % (1702520)Instructions burned: 67 (million)
% 6.01/1.59 % (1702526)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1611304348:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/375Mi)
% 6.01/1.59 % (1702526)Refutation not found, incomplete strategy
% 6.01/1.59 % (1702526)------------------------------
% 6.01/1.59 % (1702526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.59 % (1702526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.59 % (1702526)CaDiCaL version: 2.1.3
% 6.01/1.59 % (1702526)Termination reason: Refutation not found, incomplete strategy
% 6.01/1.59 % (1702526)Time elapsed: 0.001 s
% 6.01/1.59 % (1702526)Peak memory usage: 11 MB
% 6.01/1.59 % (1702526)------------------------------
% 6.01/1.59 % (1702526)------------------------------
% 6.01/1.59 % (1702515)Instruction limit reached!
% 6.01/1.59 % (1702515)------------------------------
% 6.01/1.59 % (1702515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.59 % (1702515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.59 % (1702515)CaDiCaL version: 2.1.3
% 6.01/1.59 % (1702515)Termination reason: Instruction limit
% 6.01/1.59 % (1702515)Termination phase: Saturation
% 6.01/1.59 % (1702515)Time elapsed: 0.071 s
% 6.01/1.59 % (1702515)Peak memory usage: 12 MB
% 6.01/1.59 % (1702515)Instructions burned: 95 (million)
% 6.01/1.59 % (1702530)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=3580693857:cond=on:i=34:hud=10:nm=10:rtra=on_2990 on theBenchmark for (2990ds/34Mi)
% 6.01/1.59 % (1702521)Instruction limit reached!
% 6.01/1.59 % (1702521)------------------------------
% 6.01/1.59 % (1702521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.59 % (1702521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.59 % (1702521)CaDiCaL version: 2.1.3
% 6.01/1.59 % (1702521)Termination reason: Instruction limit
% 6.01/1.59 % (1702521)Termination phase: Saturation
% 6.01/1.59 % (1702521)Time elapsed: 0.095 s
% 6.01/1.59 % (1702521)Peak memory usage: 13 MB
% 6.01/1.59 % (1702521)Instructions burned: 105 (million)
% 6.01/1.59 % (1702532)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2727293330:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/91Mi)
% 6.01/1.59 % (1702533)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=2627306591:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2990 on theBenchmark for (2990ds/66Mi)
% 6.01/1.59 % (1702533)Refutation not found, incomplete strategy
% 6.01/1.59 % (1702533)------------------------------
% 6.01/1.59 % (1702533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.59 % (1702533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.59 % (1702533)CaDiCaL version: 2.1.3
% 6.01/1.59 % (1702533)Termination reason: Refutation not found, incomplete strategy
% 6.01/1.59 % (1702533)Time elapsed: 0.0000 s
% 6.01/1.59 % (1702533)Peak memory usage: 11 MB
% 6.01/1.59 % (1702533)------------------------------
% 6.01/1.59 % (1702533)------------------------------
% 6.01/1.59 % (1702530)Instruction limit reached!
% 6.01/1.59 % (1702530)------------------------------
% 6.01/1.59 % (1702530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.01/1.59 % (1702530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.01/1.59 % (1702530)CaDiCaL version: 2.1.3
% 6.01/1.59 % (1702530)Termination reason: Instruction limit
% 6.01/1.59 % (1702530)Termination phase: Saturation
% 6.01/1.59 % (1702530)Time elapsed: 0.067 s
% 6.01/1.59 % (1702530)Peak memory usage: 12 MB
% 6.01/1.59 % (1702530)Instructions burned: 35 (million)
% 6.01/1.59 % (1702535)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2956325375:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2990 on theBenchmark for (2990ds/22Mi)
% 6.71/1.71 % (1702538)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=3041865311:i=338:bd=all:ins=4:rtra=on_2990 on theBenchmark for (2990ds/338Mi)
% 6.71/1.71 % (1702472)Instruction limit reached!
% 6.71/1.71 % (1702472)------------------------------
% 6.71/1.71 % (1702472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.71 % (1702472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.71 % (1702472)CaDiCaL version: 2.1.3
% 6.71/1.71 % (1702472)Termination reason: Instruction limit
% 6.71/1.71 % (1702472)Termination phase: Saturation
% 6.71/1.71 % (1702472)Time elapsed: 0.562 s
% 6.71/1.71 % (1702472)Peak memory usage: 13 MB
% 6.71/1.71 % (1702472)Instructions burned: 853 (million)
% 6.71/1.71 % (1702532)Instruction limit reached!
% 6.71/1.71 % (1702532)------------------------------
% 6.71/1.71 % (1702532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.71 % (1702532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.71 % (1702532)CaDiCaL version: 2.1.3
% 6.71/1.71 % (1702532)Termination reason: Instruction limit
% 6.71/1.71 % (1702532)Termination phase: Saturation
% 6.71/1.71 % (1702532)Time elapsed: 0.104 s
% 6.71/1.71 % (1702532)Peak memory usage: 12 MB
% 6.71/1.71 % (1702532)Instructions burned: 91 (million)
% 6.71/1.71 % (1702535)Instruction limit reached!
% 6.71/1.71 % (1702535)------------------------------
% 6.71/1.71 % (1702535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.71 % (1702535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.71 % (1702535)CaDiCaL version: 2.1.3
% 6.71/1.71 % (1702535)Termination reason: Instruction limit
% 6.71/1.71 % (1702535)Termination phase: Saturation
% 6.71/1.71 % (1702535)Time elapsed: 0.042 s
% 6.71/1.71 % (1702535)Peak memory usage: 12 MB
% 6.71/1.71 % (1702535)Instructions burned: 23 (million)
% 6.71/1.71 % (1702540)lrs+10_1_sil=128000:si=on:urr=on:random_seed=528796733:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/28Mi)
% 6.71/1.71 % (1702514)Instruction limit reached!
% 6.71/1.71 % (1702514)------------------------------
% 6.71/1.71 % (1702514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.71 % (1702514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.71 % (1702514)CaDiCaL version: 2.1.3
% 6.71/1.71 % (1702514)Termination reason: Instruction limit
% 6.71/1.71 % (1702514)Termination phase: Saturation
% 6.71/1.71 % (1702514)Time elapsed: 0.273 s
% 6.71/1.71 % (1702514)Peak memory usage: 13 MB
% 6.71/1.71 % (1702514)Instructions burned: 451 (million)
% 6.71/1.71 % (1702527)Instruction limit reached!
% 6.71/1.71 % (1702527)------------------------------
% 6.71/1.71 % (1702527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.71 % (1702527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.71 % (1702527)CaDiCaL version: 2.1.3
% 6.71/1.71 % (1702527)Termination reason: Instruction limit
% 6.71/1.71 % (1702527)Termination phase: Saturation
% 6.71/1.71 % (1702527)Time elapsed: 0.199 s
% 6.71/1.71 % (1702527)Peak memory usage: 13 MB
% 6.71/1.71 % (1702527)Instructions burned: 496 (million)
% 6.71/1.71 % (1702540)Refutation not found, incomplete strategy
% 6.71/1.71 % (1702540)------------------------------
% 6.71/1.71 % (1702540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.71 % (1702540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.71 % (1702540)CaDiCaL version: 2.1.3
% 6.71/1.71 % (1702540)Termination reason: Refutation not found, incomplete strategy
% 6.71/1.71 % (1702540)Time elapsed: 0.016 s
% 6.71/1.71 % (1702540)Peak memory usage: 11 MB
% 6.71/1.71 % (1702540)------------------------------
% 6.71/1.71 % (1702540)------------------------------
% 6.71/1.71 % (1702542)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.71/1.71 % (1702546)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 6.71/1.71 % (1702542)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2725142743:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2989 on theBenchmark for (2989ds/137Mi)
% 6.71/1.71 % (1702544)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1879883965:i=227:sd=1:bd=all:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/227Mi)
% 6.71/1.79 % (1702544)Refutation not found, incomplete strategy
% 6.71/1.79 % (1702544)------------------------------
% 6.71/1.79 % (1702544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.79 % (1702544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.79 % (1702544)CaDiCaL version: 2.1.3
% 6.71/1.79 % (1702544)Termination reason: Refutation not found, incomplete strategy
% 6.71/1.79 % (1702544)Time elapsed: 0.001 s
% 6.71/1.79 % (1702544)Peak memory usage: 11 MB
% 6.71/1.79 % (1702544)------------------------------
% 6.71/1.79 % (1702544)------------------------------
% 6.71/1.79 % (1702546)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2124722620:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/373Mi)
% 6.71/1.79 % (1702543)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=2497384306:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2989 on theBenchmark for (2989ds/340Mi)
% 6.71/1.79 % (1702547)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2927879398:i=116:ep=RSTC:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/116Mi)
% 6.71/1.79 % (1702548)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2432713371:i=575:rtra=on_2988 on theBenchmark for (2988ds/575Mi)
% 6.71/1.79 % (1702548)Refutation not found, incomplete strategy
% 6.71/1.79 % (1702548)------------------------------
% 6.71/1.79 % (1702548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.79 % (1702548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.79 % (1702548)CaDiCaL version: 2.1.3
% 6.71/1.79 % (1702548)Termination reason: Refutation not found, incomplete strategy
% 6.71/1.79 % (1702548)Time elapsed: 0.001 s
% 6.71/1.79 % (1702548)Peak memory usage: 11 MB
% 6.71/1.79 % (1702548)Instructions burned: 1 (million)
% 6.71/1.79 % (1702548)------------------------------
% 6.71/1.79 % (1702548)------------------------------
% 6.71/1.79 % (1702552)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1447097108: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)
% 6.71/1.79 % (1702542)Instruction limit reached!
% 6.71/1.79 % (1702542)------------------------------
% 6.71/1.79 % (1702542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.79 % (1702542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.79 % (1702542)CaDiCaL version: 2.1.3
% 6.71/1.79 % (1702542)Termination reason: Instruction limit
% 6.71/1.79 % (1702542)Termination phase: Saturation
% 6.71/1.79 % (1702542)Time elapsed: 0.098 s
% 6.71/1.79 % (1702542)Peak memory usage: 13 MB
% 6.71/1.79 % (1702542)Instructions burned: 137 (million)
% 6.71/1.79 % (1702556)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=2741927240: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_2987 on theBenchmark for (2987ds/9840Mi)
% 6.71/1.79 % (1702558)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3464069462:i=421:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/421Mi)
% 6.71/1.79 % (1702558)Refutation not found, incomplete strategy
% 6.71/1.79 % (1702558)------------------------------
% 6.71/1.79 % (1702558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.79 % (1702558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.79 % (1702558)CaDiCaL version: 2.1.3
% 6.71/1.79 % (1702558)Termination reason: Refutation not found, incomplete strategy
% 6.71/1.79 % (1702558)Time elapsed: 0.001 s
% 6.71/1.79 % (1702558)Peak memory usage: 11 MB
% 6.71/1.79 % (1702558)------------------------------
% 6.71/1.79 % (1702558)------------------------------
% 6.71/1.79 % (1702547)Instruction limit reached!
% 6.71/1.79 % (1702547)------------------------------
% 6.71/1.79 % (1702547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.79 % (1702547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.91 % (1702547)CaDiCaL version: 2.1.3
% 7.75/1.91 % (1702547)Termination reason: Instruction limit
% 7.75/1.91 % (1702547)Termination phase: Saturation
% 7.75/1.91 % (1702547)Time elapsed: 0.132 s
% 7.75/1.91 % (1702547)Peak memory usage: 12 MB
% 7.75/1.91 % (1702547)Instructions burned: 116 (million)
% 7.75/1.91 % (1702561)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 7.75/1.91 % (1702552)Instruction limit reached!
% 7.75/1.91 % (1702552)------------------------------
% 7.75/1.91 % (1702552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.75/1.91 % (1702552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.91 % (1702552)CaDiCaL version: 2.1.3
% 7.75/1.91 % (1702552)Termination reason: Instruction limit
% 7.75/1.91 % (1702552)Termination phase: Saturation
% 7.75/1.91 % (1702552)Time elapsed: 0.131 s
% 7.75/1.91 % (1702552)Peak memory usage: 12 MB
% 7.75/1.91 % (1702552)Instructions burned: 272 (million)
% 7.75/1.91 % (1702561)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=2547879406:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/270Mi)
% 7.75/1.91 % (1702538)Instruction limit reached!
% 7.75/1.91 % (1702538)------------------------------
% 7.75/1.91 % (1702538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.75/1.91 % (1702538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.91 % (1702538)CaDiCaL version: 2.1.3
% 7.75/1.91 % (1702538)Termination reason: Instruction limit
% 7.75/1.91 % (1702538)Termination phase: Saturation
% 7.75/1.91 % (1702538)Time elapsed: 0.308 s
% 7.75/1.91 % (1702538)Peak memory usage: 14 MB
% 7.75/1.91 % (1702538)Instructions burned: 339 (million)
% 7.75/1.91 % (1702562)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2631732356:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/31Mi)
% 7.75/1.91 % (1702563)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 7.75/1.91 % (1702563)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 7.75/1.91 % (1702563)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=2638019575:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2986 on theBenchmark for (2986ds/1440Mi)
% 7.75/1.91 % (1702565)dis+10_2_sil=128000:si=on:random_seed=2815628419:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2986 on theBenchmark for (2986ds/339Mi)
% 7.75/1.91 % (1702565)Refutation not found, incomplete strategy
% 7.75/1.91 % (1702565)------------------------------
% 7.75/1.91 % (1702565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.75/1.91 % (1702565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.91 % (1702565)CaDiCaL version: 2.1.3
% 7.75/1.91 % (1702565)Termination reason: Refutation not found, incomplete strategy
% 7.75/1.91 % (1702565)Time elapsed: 0.001 s
% 7.75/1.91 % (1702565)Peak memory usage: 11 MB
% 7.75/1.91 % (1702565)------------------------------
% 7.75/1.91 % (1702565)------------------------------
% 7.75/1.91 % (1702562)Instruction limit reached!
% 7.75/1.91 % (1702562)------------------------------
% 7.75/1.91 % (1702562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.75/1.91 % (1702562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.75/1.91 % (1702562)CaDiCaL version: 2.1.3
% 7.75/1.91 % (1702562)Termination reason: Instruction limit
% 7.75/1.91 % (1702562)Termination phase: Saturation
% 7.75/1.91 % (1702562)Time elapsed: 0.028 s
% 7.75/1.91 % (1702562)Peak memory usage: 12 MB
% 7.75/1.91 % (1702562)Instructions burned: 31 (million)
% 7.75/1.91 % (1702569)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1511240720:i=111:add=on:fgj=on:rtra=on:fdi=1024_2986 on theBenchmark for (2986ds/111Mi)
% 7.75/1.91 % (1702570)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=198800902:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2985 on theBenchmark for (2985ds/122Mi)
% 7.81/2.15 % (1702570)Refutation not found, incomplete strategy
% 7.81/2.15 % (1702570)------------------------------
% 7.81/2.15 % (1702570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/2.15 % (1702570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/2.15 % (1702570)CaDiCaL version: 2.1.3
% 7.81/2.15 % (1702570)Termination reason: Refutation not found, incomplete strategy
% 7.81/2.15 % (1702570)Time elapsed: 0.001 s
% 7.81/2.15 % (1702570)Peak memory usage: 11 MB
% 7.81/2.15 % (1702570)------------------------------
% 7.81/2.15 % (1702570)------------------------------
% 7.81/2.15 % (1702546)Instruction limit reached!
% 7.81/2.15 % (1702546)------------------------------
% 7.81/2.15 % (1702546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/2.15 % (1702546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/2.15 % (1702546)CaDiCaL version: 2.1.3
% 7.81/2.15 % (1702546)Termination reason: Instruction limit
% 7.81/2.15 % (1702546)Termination phase: Saturation
% 7.81/2.15 % (1702546)Time elapsed: 0.308 s
% 7.81/2.15 % (1702546)Peak memory usage: 12 MB
% 7.81/2.15 % (1702546)Instructions burned: 374 (million)
% 7.81/2.15 % (1702561)Instruction limit reached!
% 7.81/2.15 % (1702561)------------------------------
% 7.81/2.15 % (1702561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/2.15 % (1702561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/2.15 % (1702561)CaDiCaL version: 2.1.3
% 7.81/2.15 % (1702561)Termination reason: Instruction limit
% 7.81/2.15 % (1702561)Termination phase: Saturation
% 7.81/2.15 % (1702561)Time elapsed: 0.097 s
% 7.81/2.15 % (1702561)Peak memory usage: 12 MB
% 7.81/2.15 % (1702561)Instructions burned: 272 (million)
% 7.81/2.15 % (1702543)Instruction limit reached!
% 7.81/2.15 % (1702543)------------------------------
% 7.81/2.15 % (1702543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/2.15 % (1702543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/2.15 % (1702543)CaDiCaL version: 2.1.3
% 7.81/2.15 % (1702543)Termination reason: Instruction limit
% 7.81/2.15 % (1702543)Termination phase: Saturation
% 7.81/2.15 % (1702543)Time elapsed: 0.311 s
% 7.81/2.15 % (1702543)Peak memory usage: 13 MB
% 7.81/2.15 % (1702543)Instructions burned: 341 (million)
% 7.81/2.15 % (1702573)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=688694806:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/136Mi)
% 7.81/2.15 % (1702573)Refutation not found, incomplete strategy
% 7.81/2.15 % (1702573)------------------------------
% 7.81/2.15 % (1702573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/2.15 % (1702573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/2.15 % (1702573)CaDiCaL version: 2.1.3
% 7.81/2.15 % (1702573)Termination reason: Refutation not found, incomplete strategy
% 7.81/2.15 % (1702573)Time elapsed: 0.002 s
% 7.81/2.15 % (1702573)Peak memory usage: 12 MB
% 7.81/2.15 % (1702573)Instructions burned: 1 (million)
% 7.81/2.15 % (1702573)------------------------------
% 7.81/2.15 % (1702573)------------------------------
% 7.81/2.15 % (1702569)Instruction limit reached!
% 7.81/2.15 % (1702569)------------------------------
% 7.81/2.15 % (1702569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/2.15 % (1702569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/2.15 % (1702569)CaDiCaL version: 2.1.3
% 7.81/2.15 % (1702569)Termination reason: Instruction limit
% 7.81/2.15 % (1702569)Termination phase: Saturation
% 7.81/2.15 % (1702569)Time elapsed: 0.088 s
% 7.81/2.15 % (1702569)Peak memory usage: 12 MB
% 7.81/2.15 % (1702569)Instructions burned: 111 (million)
% 7.81/2.15 % (1702574)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1683050902:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2985 on theBenchmark for (2985ds/232Mi)
% 7.81/2.15 % (1702574)Refutation not found, incomplete strategy
% 7.81/2.15 % (1702574)------------------------------
% 7.81/2.15 % (1702574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/2.15 % (1702574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/2.15 % (1702574)CaDiCaL version: 2.1.3
% 7.81/2.15 % (1702574)Termination reason: Refutation not found, incomplete strategy
% 10.56/2.30 % (1702574)Time elapsed: 0.001 s
% 10.56/2.30 % (1702574)Peak memory usage: 11 MB
% 10.56/2.30 % (1702574)------------------------------
% 10.56/2.30 % (1702574)------------------------------
% 10.56/2.30 % (1702576)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 10.56/2.30 % (1702576)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=377366813:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2985 on theBenchmark for (2985ds/281Mi)
% 10.56/2.30 % (1702575)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=2701016732:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2985 on theBenchmark for (2985ds/1254Mi)
% 10.56/2.30 % (1702575)Refutation not found, incomplete strategy
% 10.56/2.30 % (1702575)------------------------------
% 10.56/2.30 % (1702575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.56/2.30 % (1702575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.30 % (1702575)CaDiCaL version: 2.1.3
% 10.56/2.30 % (1702575)Termination reason: Refutation not found, incomplete strategy
% 10.56/2.30 % (1702575)Time elapsed: 0.001 s
% 10.56/2.30 % (1702575)Peak memory usage: 11 MB
% 10.56/2.30 % (1702575)Instructions burned: 2 (million)
% 10.56/2.30 % (1702575)------------------------------
% 10.56/2.30 % (1702575)------------------------------
% 10.56/2.30 % (1702579)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=2188412223:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/865Mi)
% 10.56/2.30 % (1702578)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=730273261:i=619:add=on:rtra=on_2984 on theBenchmark for (2984ds/619Mi)
% 10.56/2.30 % (1702578)Refutation not found, incomplete strategy
% 10.56/2.30 % (1702578)------------------------------
% 10.56/2.30 % (1702578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.56/2.30 % (1702578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.30 % (1702578)CaDiCaL version: 2.1.3
% 10.56/2.30 % (1702578)Termination reason: Refutation not found, incomplete strategy
% 10.56/2.30 % (1702578)Time elapsed: 0.001 s
% 10.56/2.30 % (1702581)lrs+10_1_sil=128000:si=on:urr=on:random_seed=4224453288:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2984 on theBenchmark for (2984ds/212Mi)
% 10.56/2.30 % (1702581)Refutation not found, incomplete strategy
% 10.56/2.30 % (1702581)------------------------------
% 10.56/2.30 % (1702581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.56/2.30 % (1702581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.30 % (1702581)CaDiCaL version: 2.1.3
% 10.56/2.30 % (1702581)Termination reason: Refutation not found, incomplete strategy
% 10.56/2.30 % (1702581)Time elapsed: 0.0000 s
% 10.56/2.30 % (1702578)Peak memory usage: 12 MB
% 10.56/2.30 % (1702578)Instructions burned: 2 (million)
% 10.56/2.30 % (1702578)------------------------------
% 10.56/2.30 % (1702578)------------------------------
% 10.56/2.30 % (1702581)Peak memory usage: 11 MB
% 10.56/2.30 % (1702581)------------------------------
% 10.56/2.30 % (1702581)------------------------------
% 10.56/2.30 % (1702584)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=2878512261:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/130Mi)
% 10.56/2.30 % (1702584)Refutation not found, incomplete strategy
% 10.56/2.30 % (1702584)------------------------------
% 10.56/2.30 % (1702584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.56/2.30 % (1702584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.56/2.30 % (1702584)CaDiCaL version: 2.1.3
% 10.56/2.30 % (1702584)Termination reason: Refutation not found, incomplete strategy
% 10.56/2.30 % (1702584)Time elapsed: 0.0000 s
% 10.56/2.30 % (1702584)Peak memory usage: 11 MB
% 10.56/2.30 % (1702584)------------------------------
% 10.56/2.30 % (1702584)------------------------------
% 10.56/2.30 % (1702589)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=3501781190:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/152Mi)
% 10.56/2.30 % (1702588)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2413722943:st=1.5:i=346:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/346Mi)
% 11.63/2.70 % (1702588)Refutation not found, incomplete strategy
% 11.63/2.70 % (1702588)------------------------------
% 11.63/2.70 % (1702588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.63/2.70 % (1702588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/2.70 % (1702588)CaDiCaL version: 2.1.3
% 11.63/2.70 % (1702588)Termination reason: Refutation not found, incomplete strategy
% 11.63/2.70 % (1702588)Time elapsed: 0.004 s
% 11.63/2.70 % (1702588)Peak memory usage: 11 MB
% 11.63/2.70 % (1702588)Instructions burned: 1 (million)
% 11.63/2.70 % (1702588)------------------------------
% 11.63/2.70 % (1702588)------------------------------
% 11.63/2.70 % (1702591)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1602035569:i=75:ep=R:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/75Mi)
% 11.63/2.70 % (1702594)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=704206938:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/387Mi)
% 11.63/2.70 % (1702594)Refutation not found, incomplete strategy
% 11.63/2.70 % (1702594)------------------------------
% 11.63/2.70 % (1702594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.63/2.70 % (1702594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/2.70 % (1702594)CaDiCaL version: 2.1.3
% 11.63/2.70 % (1702594)Termination reason: Refutation not found, incomplete strategy
% 11.63/2.70 % (1702594)Time elapsed: 0.006 s
% 11.63/2.70 % (1702594)Peak memory usage: 11 MB
% 11.63/2.70 % (1702594)Instructions burned: 1 (million)
% 11.63/2.70 % (1702594)------------------------------
% 11.63/2.70 % (1702594)------------------------------
% 11.63/2.70 % (1702591)Instruction limit reached!
% 11.63/2.70 % (1702591)------------------------------
% 11.63/2.70 % (1702591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.63/2.70 % (1702591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/2.70 % (1702591)CaDiCaL version: 2.1.3
% 11.63/2.70 % (1702591)Termination reason: Instruction limit
% 11.63/2.70 % (1702591)Termination phase: Saturation
% 11.63/2.70 % (1702591)Time elapsed: 0.088 s
% 11.63/2.70 % (1702591)Peak memory usage: 12 MB
% 11.63/2.70 % (1702591)Instructions burned: 76 (million)
% 11.63/2.70 % (1702597)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=3640535200:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2982 on theBenchmark for (2982ds/148Mi)
% 11.63/2.70 % (1702576)Instruction limit reached!
% 11.63/2.70 % (1702576)------------------------------
% 11.63/2.70 % (1702576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.63/2.70 % (1702576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/2.70 % (1702576)CaDiCaL version: 2.1.3
% 11.63/2.70 % (1702576)Termination reason: Instruction limit
% 11.63/2.70 % (1702576)Termination phase: Saturation
% 11.63/2.70 % (1702576)Time elapsed: 0.244 s
% 11.63/2.70 % (1702576)Peak memory usage: 13 MB
% 11.63/2.70 % (1702576)Instructions burned: 282 (million)
% 11.63/2.70 % (1702598)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=1648455884:i=161:piset=and:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/161Mi)
% 11.63/2.70 % (1702600)lrs+10_1_sil=128000:si=on:random_seed=3862687446:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/888Mi)
% 11.63/2.70 % (1702600)Refutation not found, incomplete strategy
% 11.63/2.70 % (1702600)------------------------------
% 11.63/2.70 % (1702600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.63/2.70 % (1702600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.63/2.70 % (1702600)CaDiCaL version: 2.1.3
% 11.63/2.70 % (1702600)Termination reason: Refutation not found, incomplete strategy
% 11.63/2.70 % (1702600)Time elapsed: 0.0000 s
% 11.63/2.70 % (1702600)Peak memory usage: 11 MB
% 11.63/2.70 % (1702600)------------------------------
% 11.63/2.70 % (1702600)------------------------------
% 11.63/2.70 % (1702603)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=2614425315:i=136:add=on:ins=4:rtra=on:sup=off_2981 on theBenchmark for (2981ds/136Mi)
% 11.63/2.70 % (1702589)Instruction limit reached!
% 11.63/2.70 % (1702589)------------------------------
% 11.63/2.70 % (1702589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.35/2.93 % (1702589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.35/2.93 % (1702589)CaDiCaL version: 2.1.3
% 12.35/2.93 % (1702589)Termination reason: Instruction limit
% 12.35/2.93 % (1702589)Termination phase: Saturation
% 12.35/2.93 % (1702589)Time elapsed: 0.239 s
% 12.35/2.93 % (1702589)Peak memory usage: 12 MB
% 12.35/2.93 % (1702589)Instructions burned: 152 (million)
% 12.35/2.93 % (1702598)Instruction limit reached!
% 12.35/2.93 % (1702598)------------------------------
% 12.35/2.93 % (1702598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.35/2.93 % (1702598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.35/2.93 % (1702598)CaDiCaL version: 2.1.3
% 12.35/2.93 % (1702598)Termination reason: Instruction limit
% 12.35/2.93 % (1702598)Termination phase: Saturation
% 12.35/2.93 % (1702598)Time elapsed: 0.067 s
% 12.35/2.93 % (1702598)Peak memory usage: 12 MB
% 12.35/2.93 % (1702598)Instructions burned: 162 (million)
% 12.35/2.93 % (1702606)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3761485081:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2981 on theBenchmark for (2981ds/93Mi)
% 12.35/2.93 % (1702605)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=2691471215:i=88:s2at=3:nm=2:rtra=on:rawr=on_2981 on theBenchmark for (2981ds/88Mi)
% 12.35/2.93 % (1702597)Instruction limit reached!
% 12.35/2.93 % (1702597)------------------------------
% 12.35/2.93 % (1702597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.35/2.93 % (1702597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.35/2.93 % (1702597)CaDiCaL version: 2.1.3
% 12.35/2.93 % (1702597)Termination reason: Instruction limit
% 12.35/2.93 % (1702597)Termination phase: Saturation
% 12.35/2.93 % (1702597)Time elapsed: 0.162 s
% 12.35/2.93 % (1702597)Peak memory usage: 12 MB
% 12.35/2.93 % (1702597)Instructions burned: 149 (million)
% 12.35/2.93 % (1702606)Instruction limit reached!
% 12.35/2.93 % (1702606)------------------------------
% 12.35/2.93 % (1702606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.35/2.93 % (1702606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.35/2.93 % (1702606)CaDiCaL version: 2.1.3
% 12.35/2.93 % (1702606)Termination reason: Instruction limit
% 12.35/2.93 % (1702606)Termination phase: Saturation
% 12.35/2.93 % (1702606)Time elapsed: 0.043 s
% 12.35/2.93 % (1702606)Peak memory usage: 12 MB
% 12.35/2.93 % (1702606)Instructions burned: 94 (million)
% 12.35/2.93 % (1702609)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1095370273:i=2186:rtra=on:ixr=off_2980 on theBenchmark for (2980ds/2186Mi)
% 12.35/2.93 % (1702610)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=763414649:s2a=on:i=240:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/240Mi)
% 12.35/2.93 % (1702603)Instruction limit reached!
% 12.35/2.93 % (1702603)------------------------------
% 12.35/2.93 % (1702603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.35/2.93 % (1702603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.35/2.93 % (1702603)CaDiCaL version: 2.1.3
% 12.35/2.93 % (1702603)Termination reason: Instruction limit
% 12.35/2.93 % (1702603)Termination phase: Saturation
% 12.35/2.93 % (1702603)Time elapsed: 0.101 s
% 12.35/2.93 % (1702603)Peak memory usage: 12 MB
% 12.35/2.93 % (1702603)Instructions burned: 137 (million)
% 12.35/2.93 % (1702605)Instruction limit reached!
% 12.35/2.93 % (1702605)------------------------------
% 12.35/2.93 % (1702605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.35/2.93 % (1702605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.35/2.93 % (1702605)CaDiCaL version: 2.1.3
% 12.35/2.93 % (1702605)Termination reason: Instruction limit
% 12.35/2.93 % (1702605)Termination phase: Saturation
% 12.35/2.93 % (1702605)Time elapsed: 0.067 s
% 12.35/2.93 % (1702605)Peak memory usage: 13 MB
% 12.35/2.93 % (1702605)Instructions burned: 88 (million)
% 12.35/2.93 % (1702614)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 12.35/2.93 % (1702614)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=1699956901:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2980 on theBenchmark for (2980ds/391Mi)
% 13.28/3.08 % (1702613)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=3995963767:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2980 on theBenchmark for (2980ds/805Mi)
% 13.28/3.08 % (1702614)Refutation not found, incomplete strategy
% 13.28/3.08 % (1702614)------------------------------
% 13.28/3.08 % (1702614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/3.08 % (1702614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/3.08 % (1702614)CaDiCaL version: 2.1.3
% 13.28/3.08 % (1702614)Termination reason: Refutation not found, incomplete strategy
% 13.28/3.08 % (1702614)Time elapsed: 0.013 s
% 13.28/3.08 % (1702614)Peak memory usage: 11 MB
% 13.28/3.08 % (1702614)Instructions burned: 1 (million)
% 13.28/3.08 % (1702614)------------------------------
% 13.28/3.08 % (1702614)------------------------------
% 13.28/3.08 % (1702617)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1595798541:i=355:av=off:fsr=off:rtra=on:ixr=off_2979 on theBenchmark for (2979ds/355Mi)
% 13.28/3.08 % (1702610)Instruction limit reached!
% 13.28/3.08 % (1702610)------------------------------
% 13.28/3.08 % (1702610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/3.08 % (1702610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/3.08 % (1702610)CaDiCaL version: 2.1.3
% 13.28/3.08 % (1702610)Termination reason: Instruction limit
% 13.28/3.08 % (1702610)Termination phase: Saturation
% 13.28/3.08 % (1702610)Time elapsed: 0.224 s
% 13.28/3.08 % (1702610)Peak memory usage: 12 MB
% 13.28/3.08 % (1702610)Instructions burned: 240 (million)
% 13.28/3.08 % (1702579)Instruction limit reached!
% 13.28/3.08 % (1702579)------------------------------
% 13.28/3.08 % (1702579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/3.08 % (1702579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/3.08 % (1702579)CaDiCaL version: 2.1.3
% 13.28/3.08 % (1702579)Termination reason: Instruction limit
% 13.28/3.08 % (1702579)Termination phase: Saturation
% 13.28/3.08 % (1702579)Time elapsed: 0.646 s
% 13.28/3.08 % (1702579)Peak memory usage: 14 MB
% 13.28/3.08 % (1702579)Instructions burned: 865 (million)
% 13.28/3.08 % (1702619)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=2939813146:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/314Mi)
% 13.28/3.08 % (1702619)Refutation not found, incomplete strategy
% 13.28/3.08 % (1702619)------------------------------
% 13.28/3.08 % (1702619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/3.08 % (1702619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/3.08 % (1702619)CaDiCaL version: 2.1.3
% 13.28/3.08 % (1702619)Termination reason: Refutation not found, incomplete strategy
% 13.28/3.08 % (1702619)Time elapsed: 0.001 s
% 13.28/3.08 % (1702619)Peak memory usage: 11 MB
% 13.28/3.08 % (1702619)------------------------------
% 13.28/3.08 % (1702619)------------------------------
% 13.28/3.08 % (1702620)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=1051960882:s2a=on:i=251:fsr=off:rtra=on_2977 on theBenchmark for (2977ds/251Mi)
% 13.28/3.08 % (1702563)Instruction limit reached!
% 13.28/3.08 % (1702563)------------------------------
% 13.28/3.08 % (1702563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.28/3.08 % (1702563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/3.08 % (1702563)CaDiCaL version: 2.1.3
% 13.28/3.08 % (1702563)Termination reason: Instruction limit
% 13.28/3.08 % (1702563)Termination phase: Saturation
% 13.28/3.08 % (1702563)Time elapsed: 0.886 s
% 13.28/3.08 % (1702563)Peak memory usage: 13 MB
% 13.28/3.08 % (1702563)Instructions burned: 1441 (million)
% 13.28/3.08 % (1702622)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=1800643862: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_2977 on theBenchmark for (2977ds/2470Mi)
% 13.28/3.08 % (1702624)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=1989289301:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2977 on theBenchmark for (2977ds/673Mi)
% 13.28/3.08 % (1702617)Instruction limit reached!
% 13.28/3.08 % (1702617)------------------------------
% 15.82/3.18 % (1702617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.82/3.18 % (1702617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.82/3.18 % (1702617)CaDiCaL version: 2.1.3
% 15.82/3.18 % (1702617)Termination reason: Instruction limit
% 15.82/3.18 % (1702617)Termination phase: Saturation
% 15.82/3.18 % (1702617)Time elapsed: 0.330 s
% 15.82/3.18 % (1702617)Peak memory usage: 12 MB
% 15.82/3.18 % (1702617)Instructions burned: 355 (million)
% 15.82/3.18 % (1702620)Instruction limit reached!
% 15.82/3.18 % (1702620)------------------------------
% 15.82/3.18 % (1702620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.82/3.18 % (1702620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.82/3.18 % (1702620)CaDiCaL version: 2.1.3
% 15.82/3.18 % (1702620)Termination reason: Instruction limit
% 15.82/3.18 % (1702620)Termination phase: Saturation
% 15.82/3.18 % (1702620)Time elapsed: 0.180 s
% 15.82/3.18 % (1702620)Peak memory usage: 13 MB
% 15.82/3.18 % (1702620)Instructions burned: 252 (million)
% 15.82/3.18 % (1702627)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=130801115:i=116:ep=RSTC:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/116Mi)
% 15.82/3.18 % (1702628)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=320680945:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2975 on theBenchmark for (2975ds/270Mi)
% 15.82/3.18 % (1702627)Instruction limit reached!
% 15.82/3.18 % (1702627)------------------------------
% 15.82/3.18 % (1702627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.82/3.18 % (1702627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.82/3.18 % (1702627)CaDiCaL version: 2.1.3
% 15.82/3.18 % (1702627)Termination reason: Instruction limit
% 15.82/3.18 % (1702627)Termination phase: Saturation
% 15.82/3.18 % (1702627)Time elapsed: 0.050 s
% 15.82/3.18 % (1702627)Peak memory usage: 12 MB
% 15.82/3.18 % (1702627)Instructions burned: 118 (million)
% 15.82/3.18 % (1702631)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=3089835179: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_2974 on theBenchmark for (2974ds/30Mi)
% 15.82/3.18 % (1702631)Instruction limit reached!
% 15.82/3.18 % (1702631)------------------------------
% 15.82/3.18 % (1702631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.82/3.18 % (1702631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.82/3.18 % (1702631)CaDiCaL version: 2.1.3
% 15.82/3.18 % (1702631)Termination reason: Instruction limit
% 15.82/3.18 % (1702631)Termination phase: Saturation
% 15.82/3.18 % (1702631)Time elapsed: 0.015 s
% 15.82/3.18 % (1702631)Peak memory usage: 12 MB
% 15.82/3.18 % (1702631)Instructions burned: 32 (million)
% 15.82/3.18 % (1702633)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 15.82/3.18 % (1702633)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1406094481:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2974 on theBenchmark for (2974ds/39Mi)
% 15.82/3.18 % (1702633)Instruction limit reached!
% 15.82/3.19 % (1702633)------------------------------
% 15.82/3.19 % (1702633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.82/3.19 % (1702633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.82/3.19 % (1702633)CaDiCaL version: 2.1.3
% 15.82/3.19 % (1702633)Termination reason: Instruction limit
% 15.82/3.19 % (1702633)Termination phase: Saturation
% 15.82/3.19 % (1702633)Time elapsed: 0.021 s
% 15.82/3.19 % (1702633)Peak memory usage: 12 MB
% 15.82/3.19 % (1702633)Instructions burned: 39 (million)
% 15.82/3.19 % (1702635)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1505602639:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2974 on theBenchmark for (2974ds/365Mi)
% 15.82/3.19 % (1702613)Instruction limit reached!
% 15.82/3.19 % (1702613)------------------------------
% 15.82/3.19 % (1702613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.82/3.19 % (1702613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.82/3.19 % (1702613)CaDiCaL version: 2.1.3
% 15.82/3.19 % (1702613)Termination reason: Instruction limit
% 16.80/3.37 % (1702613)Termination phase: Saturation
% 16.80/3.37 % (1702613)Time elapsed: 0.625 s
% 16.80/3.37 % (1702613)Peak memory usage: 13 MB
% 16.80/3.37 % (1702613)Instructions burned: 805 (million)
% 16.80/3.37 % (1702628)Instruction limit reached!
% 16.80/3.37 % (1702628)------------------------------
% 16.80/3.37 % (1702628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.80/3.37 % (1702628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/3.37 % (1702628)CaDiCaL version: 2.1.3
% 16.80/3.37 % (1702628)Termination reason: Instruction limit
% 16.80/3.37 % (1702628)Termination phase: Saturation
% 16.80/3.37 % (1702628)Time elapsed: 0.212 s
% 16.80/3.37 % (1702628)Peak memory usage: 12 MB
% 16.80/3.37 % (1702628)Instructions burned: 271 (million)
% 16.80/3.37 % (1702637)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3888072470:i=158:av=off:rtra=on_2973 on theBenchmark for (2973ds/158Mi)
% 16.80/3.37 % (1702638)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 16.80/3.37 % (1702638)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=2571661238:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/252Mi)
% 16.80/3.37 % (1702624)Instruction limit reached!
% 16.80/3.37 % (1702624)------------------------------
% 16.80/3.37 % (1702624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.80/3.37 % (1702624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/3.37 % (1702624)CaDiCaL version: 2.1.3
% 16.80/3.37 % (1702624)Termination reason: Instruction limit
% 16.80/3.37 % (1702624)Termination phase: Saturation
% 16.80/3.37 % (1702624)Time elapsed: 0.423 s
% 16.80/3.37 % (1702624)Peak memory usage: 12 MB
% 16.80/3.37 % (1702624)Instructions burned: 673 (million)
% 16.80/3.37 % (1702609)Instruction limit reached!
% 16.80/3.37 % (1702609)------------------------------
% 16.80/3.37 % (1702609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.80/3.37 % (1702609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/3.37 % (1702609)CaDiCaL version: 2.1.3
% 16.80/3.37 % (1702609)Termination reason: Instruction limit
% 16.80/3.37 % (1702609)Termination phase: Saturation
% 16.80/3.37 % (1702609)Time elapsed: 0.801 s
% 16.80/3.37 % (1702609)Peak memory usage: 13 MB
% 16.80/3.37 % (1702609)Instructions burned: 2187 (million)
% 16.80/3.37 % (1702637)Instruction limit reached!
% 16.80/3.37 % (1702637)------------------------------
% 16.80/3.37 % (1702637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.80/3.37 % (1702637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/3.37 % (1702637)CaDiCaL version: 2.1.3
% 16.80/3.37 % (1702637)Termination reason: Instruction limit
% 16.80/3.37 % (1702637)Termination phase: Saturation
% 16.80/3.37 % (1702637)Time elapsed: 0.057 s
% 16.80/3.37 % (1702637)Peak memory usage: 12 MB
% 16.80/3.37 % (1702637)Instructions burned: 160 (million)
% 16.80/3.37 % (1702641)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=2512835021:i=213:rtra=on:ss=axioms_2972 on theBenchmark for (2972ds/213Mi)
% 16.80/3.37 % (1702641)Refutation not found, incomplete strategy
% 16.80/3.37 % (1702641)------------------------------
% 16.80/3.37 % (1702641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.80/3.37 % (1702641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/3.37 % (1702641)CaDiCaL version: 2.1.3
% 16.80/3.37 % (1702641)Termination reason: Refutation not found, incomplete strategy
% 16.80/3.37 % (1702641)Time elapsed: 0.001 s
% 16.80/3.37 % (1702641)Peak memory usage: 11 MB
% 16.80/3.37 % (1702641)------------------------------
% 16.80/3.37 % (1702641)------------------------------
% 16.80/3.37 % (1702643)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=285619113:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/763Mi)
% 16.80/3.37 % (1702642)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=3793057528:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2972 on theBenchmark for (2972ds/160Mi)
% 16.80/3.37 % (1702642)Refutation not found, incomplete strategy
% 16.80/3.37 % (1702642)------------------------------
% 17.97/3.53 % (1702642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.97/3.53 % (1702642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/3.53 % (1702642)CaDiCaL version: 2.1.3
% 17.97/3.53 % (1702642)Termination reason: Refutation not found, incomplete strategy
% 17.97/3.53 % (1702642)Time elapsed: 0.001 s
% 17.97/3.53 % (1702642)Peak memory usage: 11 MB
% 17.97/3.53 % (1702642)------------------------------
% 17.97/3.53 % (1702642)------------------------------
% 17.97/3.53 % (1702635)Instruction limit reached!
% 17.97/3.53 % (1702635)------------------------------
% 17.97/3.53 % (1702635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.97/3.53 % (1702635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/3.53 % (1702635)CaDiCaL version: 2.1.3
% 17.97/3.53 % (1702635)Termination reason: Instruction limit
% 17.97/3.53 % (1702635)Termination phase: Saturation
% 17.97/3.53 % (1702635)Time elapsed: 0.235 s
% 17.97/3.53 % (1702635)Peak memory usage: 13 MB
% 17.97/3.53 % (1702635)Instructions burned: 367 (million)
% 17.97/3.53 % (1702646)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 17.97/3.53 % (1702646)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=3836760389:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2971 on theBenchmark for (2971ds/237Mi)
% 17.97/3.53 % (1702646)Refutation not found, incomplete strategy
% 17.97/3.53 % (1702646)------------------------------
% 17.97/3.53 % (1702646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.97/3.53 % (1702648)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=3662670382:s2a=on:i=386:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/386Mi)
% 17.97/3.53 % (1702646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/3.53 % (1702646)CaDiCaL version: 2.1.3
% 17.97/3.53 % (1702646)Termination reason: Refutation not found, incomplete strategy
% 17.97/3.53 % (1702646)Time elapsed: 0.001 s
% 17.97/3.53 % (1702646)Peak memory usage: 11 MB
% 17.97/3.53 % (1702646)------------------------------
% 17.97/3.53 % (1702646)------------------------------
% 17.97/3.53 % (1702649)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=3301223233:i=300:piset=and:nm=32:rtra=on_2971 on theBenchmark for (2971ds/300Mi)
% 17.97/3.53 % (1702652)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=3057269202:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/567Mi)
% 17.97/3.53 % (1702652)Refutation not found, incomplete strategy
% 17.97/3.53 % (1702652)------------------------------
% 17.97/3.53 % (1702652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.97/3.53 % (1702652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/3.53 % (1702652)CaDiCaL version: 2.1.3
% 17.97/3.53 % (1702652)Termination reason: Refutation not found, incomplete strategy
% 17.97/3.53 % (1702652)Time elapsed: 0.002 s
% 17.97/3.53 % (1702652)Peak memory usage: 11 MB
% 17.97/3.53 % (1702652)Instructions burned: 1 (million)
% 17.97/3.53 % (1702652)------------------------------
% 17.97/3.53 % (1702652)------------------------------
% 17.97/3.53 % (1702638)Instruction limit reached!
% 17.97/3.53 % (1702638)------------------------------
% 17.97/3.53 % (1702638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.97/3.53 % (1702638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/3.53 % (1702638)CaDiCaL version: 2.1.3
% 17.97/3.53 % (1702638)Termination reason: Instruction limit
% 17.97/3.53 % (1702638)Termination phase: Saturation
% 17.97/3.53 % (1702638)Time elapsed: 0.169 s
% 17.97/3.53 % (1702638)Peak memory usage: 13 MB
% 17.97/3.53 % (1702638)Instructions burned: 253 (million)
% 17.97/3.53 % (1702655)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=3767028126:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2971 on theBenchmark for (2971ds/379Mi)
% 17.97/3.53 % (1702655)Refutation not found, incomplete strategy
% 17.97/3.53 % (1702655)------------------------------
% 17.97/3.53 % (1702655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.97/3.53 % (1702655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/3.53 % (1702655)CaDiCaL version: 2.1.3
% 17.97/3.53 % (1702655)Termination reason: Refutation not found, incomplete strategy
% 18.75/3.61 % (1702655)Time elapsed: 0.001 s
% 18.75/3.61 % (1702655)Peak memory usage: 11 MB
% 18.75/3.61 % (1702655)------------------------------
% 18.75/3.61 % (1702655)------------------------------
% 18.75/3.61 % (1702656)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3940558177:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2971 on theBenchmark for (2971ds/429Mi)
% 18.75/3.61 % (1702658)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=1555564386:i=478:bd=all:rtra=on_2970 on theBenchmark for (2970ds/478Mi)
% 18.75/3.61 % (1702658)Refutation not found, incomplete strategy
% 18.75/3.61 % (1702658)------------------------------
% 18.75/3.61 % (1702658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.75/3.61 % (1702658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.61 % (1702658)CaDiCaL version: 2.1.3
% 18.75/3.61 % (1702658)Termination reason: Refutation not found, incomplete strategy
% 18.75/3.61 % (1702658)Time elapsed: 0.002 s
% 18.75/3.61 % (1702658)Peak memory usage: 12 MB
% 18.75/3.61 % (1702658)Instructions burned: 1 (million)
% 18.75/3.61 % (1702658)------------------------------
% 18.75/3.61 % (1702658)------------------------------
% 18.75/3.61 % (1702661)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3809427743:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2970 on theBenchmark for (2970ds/445Mi)
% 18.75/3.61 % (1702649)Instruction limit reached!
% 18.75/3.61 % (1702649)------------------------------
% 18.75/3.61 % (1702649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.75/3.61 % (1702649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.61 % (1702649)CaDiCaL version: 2.1.3
% 18.75/3.61 % (1702649)Termination reason: Instruction limit
% 18.75/3.61 % (1702649)Termination phase: Saturation
% 18.75/3.61 % (1702649)Time elapsed: 0.129 s
% 18.75/3.61 % (1702649)Peak memory usage: 12 MB
% 18.75/3.61 % (1702649)Instructions burned: 301 (million)
% 18.75/3.61 % (1702663)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=4014252309:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2970 on theBenchmark for (2970ds/71Mi)
% 18.75/3.61 % (1702663)Instruction limit reached!
% 18.75/3.61 % (1702663)------------------------------
% 18.75/3.61 % (1702663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.75/3.61 % (1702663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.61 % (1702663)CaDiCaL version: 2.1.3
% 18.75/3.61 % (1702663)Termination reason: Instruction limit
% 18.75/3.61 % (1702663)Termination phase: Saturation
% 18.75/3.61 % (1702663)Time elapsed: 0.038 s
% 18.75/3.61 % (1702663)Peak memory usage: 12 MB
% 18.75/3.61 % (1702663)Instructions burned: 72 (million)
% 18.75/3.61 % (1702665)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=609600938:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2969 on theBenchmark for (2969ds/302Mi)
% 18.75/3.61 % (1702665)Refutation not found, incomplete strategy
% 18.75/3.61 % (1702665)------------------------------
% 18.75/3.61 % (1702665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.75/3.61 % (1702665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.61 % (1702665)CaDiCaL version: 2.1.3
% 18.75/3.61 % (1702665)Termination reason: Refutation not found, incomplete strategy
% 18.75/3.61 % (1702665)Time elapsed: 0.001 s
% 18.75/3.61 % (1702665)Peak memory usage: 11 MB
% 18.75/3.61 % (1702665)------------------------------
% 18.75/3.61 % (1702665)------------------------------
% 18.75/3.61 % (1702667)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=3131721322:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2969 on theBenchmark for (2969ds/4980Mi)
% 18.75/3.61 % (1702667)Refutation not found, incomplete strategy
% 18.75/3.61 % (1702667)------------------------------
% 18.75/3.61 % (1702667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.75/3.61 % (1702667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.61 % (1702667)CaDiCaL version: 2.1.3
% 18.75/3.61 % (1702667)Termination reason: Refutation not found, incomplete strategy
% 18.75/3.61 % (1702667)Time elapsed: 0.0000 s
% 18.75/3.61 % (1702667)Peak memory usage: 11 MB
% 18.75/3.61 % (1702667)------------------------------
% 18.75/3.61 % (1702667)------------------------------
% 18.75/3.61 % (1702669)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
% 19.71/3.97 % (1702669)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 19.71/3.97 % (1702669)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3724612237:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2969 on theBenchmark for (2969ds/100Mi)
% 19.71/3.97 % (1702648)Instruction limit reached!
% 19.71/3.97 % (1702648)------------------------------
% 19.71/3.97 % (1702648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/3.97 % (1702648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/3.97 % (1702648)CaDiCaL version: 2.1.3
% 19.71/3.97 % (1702648)Termination reason: Instruction limit
% 19.71/3.97 % (1702648)Termination phase: Saturation
% 19.71/3.97 % (1702648)Time elapsed: 0.301 s
% 19.71/3.97 % (1702648)Peak memory usage: 12 MB
% 19.71/3.97 % (1702648)Instructions burned: 386 (million)
% 19.71/3.97 % (1702669)Instruction limit reached!
% 19.71/3.97 % (1702669)------------------------------
% 19.71/3.97 % (1702669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/3.97 % (1702669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/3.97 % (1702669)CaDiCaL version: 2.1.3
% 19.71/3.97 % (1702669)Termination reason: Instruction limit
% 19.71/3.97 % (1702669)Termination phase: Saturation
% 19.71/3.97 % (1702669)Time elapsed: 0.046 s
% 19.71/3.97 % (1702669)Peak memory usage: 12 MB
% 19.71/3.97 % (1702669)Instructions burned: 100 (million)
% 19.71/3.97 % (1702661)Instruction limit reached!
% 19.71/3.97 % (1702661)------------------------------
% 19.71/3.97 % (1702661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/3.97 % (1702661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/3.97 % (1702661)CaDiCaL version: 2.1.3
% 19.71/3.97 % (1702661)Termination reason: Instruction limit
% 19.71/3.97 % (1702661)Termination phase: Saturation
% 19.71/3.97 % (1702661)Time elapsed: 0.192 s
% 19.71/3.97 % (1702661)Peak memory usage: 14 MB
% 19.71/3.97 % (1702661)Instructions burned: 445 (million)
% 19.71/3.97 % (1702672)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=1279668882:i=289:rtra=on_2968 on theBenchmark for (2968ds/289Mi)
% 19.71/3.97 % (1702671)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=2305235498:i=76:piset=equals:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/76Mi)
% 19.71/3.97 % (1702672)Refutation not found, incomplete strategy
% 19.71/3.97 % (1702672)------------------------------
% 19.71/3.97 % (1702672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/3.97 % (1702672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/3.97 % (1702672)CaDiCaL version: 2.1.3
% 19.71/3.97 % (1702672)Termination reason: Refutation not found, incomplete strategy
% 19.71/3.97 % (1702672)Time elapsed: 0.008 s
% 19.71/3.97 % (1702672)Peak memory usage: 11 MB
% 19.71/3.97 % (1702672)Instructions burned: 1 (million)
% 19.71/3.97 % (1702672)------------------------------
% 19.71/3.97 % (1702672)------------------------------
% 19.71/3.97 % (1702673)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=428650097:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2968 on theBenchmark for (2968ds/493Mi)
% 19.71/3.97 % (1702676)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=2111531075:cond=on:i=34:hud=10:nm=10:rtra=on_2967 on theBenchmark for (2967ds/34Mi)
% 19.71/3.97 % (1702643)Instruction limit reached!
% 19.71/3.97 % (1702643)------------------------------
% 19.71/3.97 % (1702643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/3.97 % (1702643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/3.97 % (1702643)CaDiCaL version: 2.1.3
% 19.71/3.97 % (1702643)Termination reason: Instruction limit
% 19.71/3.97 % (1702643)Termination phase: Saturation
% 19.71/3.97 % (1702643)Time elapsed: 0.437 s
% 19.71/3.97 % (1702643)Peak memory usage: 14 MB
% 19.71/3.97 % (1702643)Instructions burned: 765 (million)
% 19.71/3.97 % (1702676)Instruction limit reached!
% 20.33/4.11 % (1702676)------------------------------
% 20.33/4.11 % (1702676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.33/4.11 % (1702676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.33/4.11 % (1702676)CaDiCaL version: 2.1.3
% 20.33/4.11 % (1702676)Termination reason: Instruction limit
% 20.33/4.11 % (1702676)Termination phase: Saturation
% 20.33/4.11 % (1702676)Time elapsed: 0.016 s
% 20.33/4.11 % (1702676)Peak memory usage: 12 MB
% 20.33/4.11 % (1702676)Instructions burned: 34 (million)
% 20.33/4.11 % (1702679)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 20.33/4.11 % (1702656)Instruction limit reached!
% 20.33/4.11 % (1702656)------------------------------
% 20.33/4.11 % (1702656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.33/4.11 % (1702656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.33/4.11 % (1702656)CaDiCaL version: 2.1.3
% 20.33/4.11 % (1702656)Termination reason: Instruction limit
% 20.33/4.11 % (1702656)Termination phase: Saturation
% 20.33/4.11 % (1702656)Time elapsed: 0.340 s
% 20.33/4.11 % (1702656)Peak memory usage: 12 MB
% 20.33/4.11 % (1702656)Instructions burned: 430 (million)
% 20.33/4.11 % (1702679)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=1754586754:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2967 on theBenchmark for (2967ds/372Mi)
% 20.33/4.11 % (1702679)Refutation not found, incomplete strategy
% 20.33/4.11 % (1702679)------------------------------
% 20.33/4.11 % (1702679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.33/4.11 % (1702679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.33/4.11 % (1702679)CaDiCaL version: 2.1.3
% 20.33/4.11 % (1702679)Termination reason: Refutation not found, incomplete strategy
% 20.33/4.11 % (1702679)Time elapsed: 0.003 s
% 20.33/4.11 % (1702680)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=526064282:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2967 on theBenchmark for (2967ds/670Mi)
% 20.33/4.11 % (1702679)Peak memory usage: 11 MB
% 20.33/4.11 % (1702679)Instructions burned: 2 (million)
% 20.33/4.11 % (1702679)------------------------------
% 20.33/4.11 % (1702679)------------------------------
% 20.33/4.11 % (1702671)Instruction limit reached!
% 20.33/4.11 % (1702671)------------------------------
% 20.33/4.11 % (1702671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.33/4.11 % (1702671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.33/4.11 % (1702671)CaDiCaL version: 2.1.3
% 20.33/4.11 % (1702671)Termination reason: Instruction limit
% 20.33/4.11 % (1702671)Termination phase: Saturation
% 20.33/4.11 % (1702671)Time elapsed: 0.080 s
% 20.33/4.11 % (1702671)Peak memory usage: 12 MB
% 20.33/4.11 % (1702671)Instructions burned: 76 (million)
% 20.33/4.11 % (1702681)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=288875838:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2967 on theBenchmark for (2967ds/647Mi)
% 20.33/4.11 % (1702681)Refutation not found, incomplete strategy
% 20.33/4.11 % (1702681)------------------------------
% 20.33/4.11 % (1702681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.33/4.11 % (1702681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.33/4.11 % (1702681)CaDiCaL version: 2.1.3
% 20.33/4.11 % (1702681)Termination reason: Refutation not found, incomplete strategy
% 20.33/4.11 % (1702681)Time elapsed: 0.001 s
% 20.33/4.11 % (1702681)Peak memory usage: 11 MB
% 20.33/4.11 % (1702681)------------------------------
% 20.33/4.11 % (1702681)------------------------------
% 20.33/4.11 % (1702684)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=2312139487:i=857:add=off:kws=frequency:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/857Mi)
% 20.33/4.11 % (1702685)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=2937552039:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2967 on theBenchmark for (2967ds/693Mi)
% 20.33/4.11 % (1702687)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=3903168735:i=285:hud=10:bd=all:rtra=on:ss=axioms_2966 on theBenchmark for (2966ds/285Mi)
% 22.91/4.27 % (1702687)Refutation not found, incomplete strategy
% 22.91/4.27 % (1702687)------------------------------
% 22.91/4.27 % (1702687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.91/4.27 % (1702687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.91/4.27 % (1702687)CaDiCaL version: 2.1.3
% 22.91/4.27 % (1702687)Termination reason: Refutation not found, incomplete strategy
% 22.91/4.27 % (1702687)Time elapsed: 0.002 s
% 22.91/4.27 % (1702687)Peak memory usage: 11 MB
% 22.91/4.27 % (1702687)Instructions burned: 1 (million)
% 22.91/4.27 % (1702687)------------------------------
% 22.91/4.27 % (1702687)------------------------------
% 22.91/4.27 % (1702691)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 22.91/4.27 % (1702691)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=3928606882:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2966 on theBenchmark for (2966ds/52Mi)
% 22.91/4.27 % (1702691)Instruction limit reached!
% 22.91/4.27 % (1702691)------------------------------
% 22.91/4.27 % (1702691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.91/4.27 % (1702691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.91/4.27 % (1702691)CaDiCaL version: 2.1.3
% 22.91/4.27 % (1702691)Termination reason: Instruction limit
% 22.91/4.27 % (1702691)Termination phase: Saturation
% 22.91/4.27 % (1702691)Time elapsed: 0.022 s
% 22.91/4.27 % (1702691)Peak memory usage: 12 MB
% 22.91/4.27 % (1702691)Instructions burned: 52 (million)
% 22.91/4.27 % (1702693)dis+10_1_si=on:random_seed=4024869616:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2966 on theBenchmark for (2966ds/407Mi)
% 22.91/4.27 % (1702693)Refutation not found, incomplete strategy
% 22.91/4.27 % (1702693)------------------------------
% 22.91/4.27 % (1702693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.91/4.27 % (1702693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.91/4.27 % (1702693)CaDiCaL version: 2.1.3
% 22.91/4.27 % (1702693)Termination reason: Refutation not found, incomplete strategy
% 22.91/4.27 % (1702693)Time elapsed: 0.001 s
% 22.91/4.27 % (1702693)Peak memory usage: 11 MB
% 22.91/4.27 % (1702693)------------------------------
% 22.91/4.27 % (1702693)------------------------------
% 22.91/4.27 % (1702673)Instruction limit reached!
% 22.91/4.27 % (1702673)------------------------------
% 22.91/4.27 % (1702673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.91/4.27 % (1702673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.91/4.27 % (1702673)CaDiCaL version: 2.1.3
% 22.91/4.27 % (1702673)Termination reason: Instruction limit
% 22.91/4.27 % (1702673)Termination phase: Saturation
% 22.91/4.27 % (1702673)Time elapsed: 0.216 s
% 22.91/4.27 % (1702673)Peak memory usage: 13 MB
% 22.91/4.27 % (1702673)Instructions burned: 493 (million)
% 22.91/4.27 % (1702695)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=3023499603:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2965 on theBenchmark for (2965ds/2240Mi)
% 22.91/4.27 % (1702696)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3286208283:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2965 on theBenchmark for (2965ds/336Mi)
% 22.91/4.27 % (1702696)Refutation not found, incomplete strategy
% 22.91/4.27 % (1702696)------------------------------
% 22.91/4.27 % (1702696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.91/4.27 % (1702696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.91/4.27 % (1702696)CaDiCaL version: 2.1.3
% 22.91/4.27 % (1702696)Termination reason: Refutation not found, incomplete strategy
% 22.91/4.27 % (1702696)Time elapsed: 0.002 s
% 22.91/4.27 % (1702696)Peak memory usage: 11 MB
% 22.91/4.27 % (1702696)------------------------------
% 22.91/4.27 % (1702696)------------------------------
% 22.91/4.27 % (1702699)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=2668308806:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2965 on theBenchmark for (2965ds/1142Mi)
% 22.91/4.27 % (1702680)Instruction limit reached!
% 22.91/4.27 % (1702680)------------------------------
% 22.91/4.27 % (1702680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.91/4.27 % (1702680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.04/4.63 % (1702680)CaDiCaL version: 2.1.3
% 23.04/4.63 % (1702680)Termination reason: Instruction limit
% 23.04/4.63 % (1702680)Termination phase: Saturation
% 23.04/4.63 % (1702680)Time elapsed: 0.414 s
% 23.04/4.63 % (1702680)Peak memory usage: 12 MB
% 23.04/4.63 % (1702680)Instructions burned: 670 (million)
% 23.04/4.63 % (1702701)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=580810089:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2963 on theBenchmark for (2963ds/376Mi)
% 23.04/4.63 % (1702701)Refutation not found, incomplete strategy
% 23.04/4.63 % (1702701)------------------------------
% 23.04/4.63 % (1702701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.04/4.63 % (1702701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.04/4.63 % (1702701)CaDiCaL version: 2.1.3
% 23.04/4.63 % (1702701)Termination reason: Refutation not found, incomplete strategy
% 23.04/4.63 % (1702701)Time elapsed: 0.001 s
% 23.04/4.63 % (1702701)Peak memory usage: 11 MB
% 23.04/4.63 % (1702701)------------------------------
% 23.04/4.63 % (1702701)------------------------------
% 23.04/4.63 % (1702703)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=3150457179:i=766:bd=all:rtra=on_2962 on theBenchmark for (2962ds/766Mi)
% 23.04/4.63 % (1702703)Refutation not found, incomplete strategy
% 23.04/4.63 % (1702703)------------------------------
% 23.04/4.63 % (1702703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.04/4.63 % (1702703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.04/4.63 % (1702703)CaDiCaL version: 2.1.3
% 23.04/4.63 % (1702703)Termination reason: Refutation not found, incomplete strategy
% 23.04/4.63 % (1702703)Time elapsed: 0.002 s
% 23.04/4.63 % (1702703)Peak memory usage: 12 MB
% 23.04/4.63 % (1702703)Instructions burned: 1 (million)
% 23.04/4.63 % (1702703)------------------------------
% 23.04/4.63 % (1702703)------------------------------
% 23.04/4.63 % (1702685)Instruction limit reached!
% 23.04/4.63 % (1702685)------------------------------
% 23.04/4.63 % (1702685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.04/4.63 % (1702685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.04/4.63 % (1702685)CaDiCaL version: 2.1.3
% 23.04/4.63 % (1702685)Termination reason: Instruction limit
% 23.04/4.63 % (1702685)Termination phase: Saturation
% 23.04/4.63 % (1702685)Time elapsed: 0.456 s
% 23.04/4.63 % (1702685)Peak memory usage: 13 MB
% 23.04/4.63 % (1702685)Instructions burned: 694 (million)
% 23.04/4.63 % (1702705)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 23.04/4.63 % (1702705)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=596976930: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_2962 on theBenchmark for (2962ds/959Mi)
% 23.04/4.63 % (1702705)Refutation not found, incomplete strategy
% 23.04/4.63 % (1702705)------------------------------
% 23.04/4.63 % (1702705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.04/4.63 % (1702705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.04/4.63 % (1702705)CaDiCaL version: 2.1.3
% 23.04/4.63 % (1702705)Termination reason: Refutation not found, incomplete strategy
% 23.04/4.63 % (1702705)Time elapsed: 0.001 s
% 23.04/4.63 % (1702705)Peak memory usage: 11 MB
% 23.04/4.63 % (1702705)------------------------------
% 23.04/4.63 % (1702705)------------------------------
% 23.04/4.63 % (1702706)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=2374220474:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2962 on theBenchmark for (2962ds/6359Mi)
% 23.04/4.63 % (1702708)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1139509285:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2962 on theBenchmark for (2962ds/35Mi)
% 23.04/4.63 % (1702708)Refutation not found, incomplete strategy
% 23.04/4.63 % (1702708)------------------------------
% 23.04/4.63 % (1702708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.04/4.63 % (1702708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.04/4.63 % (1702708)CaDiCaL version: 2.1.3
% 23.04/4.63 % (1702708)Termination reason: Refutation not found, incomplete strategy
% 26.15/4.88 % (1702708)Time elapsed: 0.001 s
% 26.15/4.88 % (1702708)Peak memory usage: 11 MB
% 26.15/4.88 % (1702708)------------------------------
% 26.15/4.88 % (1702708)------------------------------
% 26.15/4.88 % (1702684)Instruction limit reached!
% 26.15/4.88 % (1702684)------------------------------
% 26.15/4.88 % (1702684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.88 % (1702684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.88 % (1702684)CaDiCaL version: 2.1.3
% 26.15/4.88 % (1702684)Termination reason: Instruction limit
% 26.15/4.88 % (1702684)Termination phase: Saturation
% 26.15/4.88 % (1702684)Time elapsed: 0.522 s
% 26.15/4.88 % (1702684)Peak memory usage: 12 MB
% 26.15/4.88 % (1702684)Instructions burned: 857 (million)
% 26.15/4.88 % (1702699)Instruction limit reached!
% 26.15/4.88 % (1702699)------------------------------
% 26.15/4.88 % (1702699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.88 % (1702699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.88 % (1702699)CaDiCaL version: 2.1.3
% 26.15/4.88 % (1702699)Termination reason: Instruction limit
% 26.15/4.88 % (1702699)Termination phase: Saturation
% 26.15/4.88 % (1702699)Time elapsed: 0.426 s
% 26.15/4.88 % (1702699)Peak memory usage: 14 MB
% 26.15/4.88 % (1702699)Instructions burned: 1142 (million)
% 26.15/4.88 % (1702711)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3034900483:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2961 on theBenchmark for (2961ds/53Mi)
% 26.15/4.88 % (1702712)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=846845621:s2a=on:i=876:s2at=6:nm=2:rtra=on_2961 on theBenchmark for (2961ds/876Mi)
% 26.15/4.88 % (1702715)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=122009463:i=57:ep=R:rtra=on:ntd=on_2960 on theBenchmark for (2960ds/57Mi)
% 26.15/4.88 % (1702715)Instruction limit reached!
% 26.15/4.88 % (1702715)------------------------------
% 26.15/4.88 % (1702715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.88 % (1702715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.88 % (1702715)CaDiCaL version: 2.1.3
% 26.15/4.88 % (1702715)Termination reason: Instruction limit
% 26.15/4.88 % (1702715)Termination phase: Saturation
% 26.15/4.88 % (1702715)Time elapsed: 0.023 s
% 26.15/4.88 % (1702715)Peak memory usage: 12 MB
% 26.15/4.88 % (1702715)Instructions burned: 59 (million)
% 26.15/4.88 % (1702711)Instruction limit reached!
% 26.15/4.88 % (1702711)------------------------------
% 26.15/4.88 % (1702711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.88 % (1702711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.88 % (1702711)CaDiCaL version: 2.1.3
% 26.15/4.88 % (1702711)Termination reason: Instruction limit
% 26.15/4.88 % (1702711)Termination phase: Saturation
% 26.15/4.88 % (1702711)Time elapsed: 0.049 s
% 26.15/4.88 % (1702711)Peak memory usage: 12 MB
% 26.15/4.88 % (1702711)Instructions burned: 53 (million)
% 26.15/4.88 % (1702717)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 26.15/4.88 % (1702717)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=1433419411:i=306:bd=all:rtra=on_2960 on theBenchmark for (2960ds/306Mi)
% 26.15/4.88 % (1702717)Refutation not found, incomplete strategy
% 26.15/4.88 % (1702717)------------------------------
% 26.15/4.88 % (1702717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.15/4.88 % (1702717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.88 % (1702717)CaDiCaL version: 2.1.3
% 26.15/4.88 % (1702717)Termination reason: Refutation not found, incomplete strategy
% 26.15/4.88 % (1702717)Time elapsed: 0.001 s
% 26.15/4.88 % (1702717)Peak memory usage: 12 MB
% 26.15/4.88 % (1702717)Instructions burned: 1 (million)
% 26.15/4.88 % (1702717)------------------------------
% 26.15/4.88 % (1702717)------------------------------
% 26.15/4.88 % (1702718)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=553708882:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/262Mi)
% 26.15/4.88 % (1702720)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 26.15/4.88 % (1702718)Refutation not found, incomplete strategy
% 28.01/5.04 % (1702718)------------------------------
% 28.01/5.04 % (1702718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.01/5.04 % (1702718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.01/5.04 % (1702718)CaDiCaL version: 2.1.3
% 28.01/5.04 % (1702718)Termination reason: Refutation not found, incomplete strategy
% 28.01/5.04 % (1702718)Time elapsed: 0.001 s
% 28.01/5.04 % (1702718)Peak memory usage: 11 MB
% 28.01/5.04 % (1702718)------------------------------
% 28.01/5.04 % (1702718)------------------------------
% 28.01/5.04 % (1702720)ott+1002_16_sil=128000:si=on:random_seed=899830419:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2960 on theBenchmark for (2960ds/409Mi)
% 28.01/5.04 % (1702723)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=423593528:s2a=on:i=381:rtra=on_2960 on theBenchmark for (2960ds/381Mi)
% 28.01/5.04 % (1702720)Instruction limit reached!
% 28.01/5.04 % (1702720)------------------------------
% 28.01/5.04 % (1702720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.01/5.04 % (1702720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.01/5.04 % (1702720)CaDiCaL version: 2.1.3
% 28.01/5.04 % (1702720)Termination reason: Instruction limit
% 28.01/5.04 % (1702720)Termination phase: Saturation
% 28.01/5.04 % (1702720)Time elapsed: 0.198 s
% 28.01/5.04 % (1702720)Peak memory usage: 13 MB
% 28.01/5.04 % (1702720)Instructions burned: 411 (million)
% 28.01/5.04 % (1702725)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1384123189:cond=on:i=324:rtra=on:ntd=on_2958 on theBenchmark for (2958ds/324Mi)
% 28.01/5.04 % (1702723)Instruction limit reached!
% 28.01/5.04 % (1702723)------------------------------
% 28.01/5.04 % (1702723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.01/5.04 % (1702723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.01/5.04 % (1702723)CaDiCaL version: 2.1.3
% 28.01/5.04 % (1702723)Termination reason: Instruction limit
% 28.01/5.04 % (1702723)Termination phase: Saturation
% 28.01/5.04 % (1702723)Time elapsed: 0.182 s
% 28.01/5.04 % (1702723)Peak memory usage: 12 MB
% 28.01/5.04 % (1702723)Instructions burned: 383 (million)
% 28.01/5.04 % (1702727)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=2050218148:i=240:kws=inv_precedence:rtra=on_2957 on theBenchmark for (2957ds/240Mi)
% 28.01/5.04 % (1702727)Refutation not found, incomplete strategy
% 28.01/5.04 % (1702727)------------------------------
% 28.01/5.04 % (1702727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.01/5.04 % (1702727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.01/5.04 % (1702727)CaDiCaL version: 2.1.3
% 28.01/5.04 % (1702727)Termination reason: Refutation not found, incomplete strategy
% 28.01/5.04 % (1702727)Time elapsed: 0.001 s
% 28.01/5.04 % (1702727)Peak memory usage: 11 MB
% 28.01/5.04 % (1702727)Instructions burned: 1 (million)
% 28.01/5.04 % (1702727)------------------------------
% 28.01/5.04 % (1702727)------------------------------
% 28.01/5.04 % (1702729)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 28.01/5.04 % (1702729)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1980188571:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2957 on theBenchmark for (2957ds/124Mi)
% 28.01/5.04 % (1702622)Instruction limit reached!
% 28.01/5.04 % (1702622)------------------------------
% 28.01/5.04 % (1702622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.01/5.04 % (1702622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.01/5.04 % (1702622)CaDiCaL version: 2.1.3
% 28.01/5.04 % (1702622)Termination reason: Instruction limit
% 28.01/5.04 % (1702622)Termination phase: Saturation
% 28.01/5.04 % (1702622)Time elapsed: 2.026 s
% 28.01/5.04 % (1702622)Peak memory usage: 18 MB
% 28.01/5.04 % (1702622)Instructions burned: 2470 (million)
% 28.01/5.04 % (1702731)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=3254536570:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2956 on theBenchmark for (2956ds/223Mi)
% 28.01/5.04 % (1702725)Instruction limit reached!
% 28.01/5.04 % (1702725)------------------------------
% 28.01/5.04 % (1702725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.01/5.04 % (1702725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.01/5.04 % (1702725)CaDiCaL version: 2.1.3
% 30.75/5.44 % (1702725)Termination reason: Instruction limit
% 30.75/5.44 % (1702725)Termination phase: Saturation
% 30.75/5.44 % (1702725)Time elapsed: 0.143 s
% 30.75/5.44 % (1702725)Peak memory usage: 12 MB
% 30.75/5.44 % (1702725)Instructions burned: 324 (million)
% 30.75/5.44 % (1702733)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1589403986:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2956 on theBenchmark for (2956ds/282Mi)
% 30.75/5.44 % (1702729)Instruction limit reached!
% 30.75/5.44 % (1702729)------------------------------
% 30.75/5.44 % (1702729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.75/5.44 % (1702729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.75/5.44 % (1702729)CaDiCaL version: 2.1.3
% 30.75/5.44 % (1702729)Termination reason: Instruction limit
% 30.75/5.44 % (1702729)Termination phase: Saturation
% 30.75/5.44 % (1702729)Time elapsed: 0.094 s
% 30.75/5.44 % (1702729)Peak memory usage: 12 MB
% 30.75/5.44 % (1702729)Instructions burned: 124 (million)
% 30.75/5.44 % (1702735)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=54148220:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2956 on theBenchmark for (2956ds/464Mi)
% 30.75/5.44 % (1702735)Refutation not found, incomplete strategy
% 30.75/5.44 % (1702735)------------------------------
% 30.75/5.44 % (1702735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.75/5.44 % (1702735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.75/5.44 % (1702735)CaDiCaL version: 2.1.3
% 30.75/5.44 % (1702735)Termination reason: Refutation not found, incomplete strategy
% 30.75/5.44 % (1702735)Time elapsed: 0.001 s
% 30.75/5.44 % (1702735)Peak memory usage: 11 MB
% 30.75/5.44 % (1702735)Instructions burned: 1 (million)
% 30.75/5.44 % (1702735)------------------------------
% 30.75/5.44 % (1702735)------------------------------
% 30.75/5.44 % (1702731)Instruction limit reached!
% 30.75/5.44 % (1702731)------------------------------
% 30.75/5.44 % (1702731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.75/5.44 % (1702731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.75/5.44 % (1702731)CaDiCaL version: 2.1.3
% 30.75/5.44 % (1702731)Termination reason: Instruction limit
% 30.75/5.44 % (1702731)Termination phase: Saturation
% 30.75/5.44 % (1702731)Time elapsed: 0.076 s
% 30.75/5.44 % (1702731)Peak memory usage: 12 MB
% 30.75/5.44 % (1702731)Instructions burned: 227 (million)
% 30.75/5.44 % (1702737)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=1666883487:i=88:s2at=3:nm=2:rtra=on:rawr=on_2955 on theBenchmark for (2955ds/88Mi)
% 30.75/5.44 % (1702738)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3921003856:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2955 on theBenchmark for (2955ds/280Mi)
% 30.75/5.44 % (1702737)Instruction limit reached!
% 30.75/5.44 % (1702737)------------------------------
% 30.75/5.44 % (1702737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.75/5.44 % (1702737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.75/5.44 % (1702737)CaDiCaL version: 2.1.3
% 30.75/5.44 % (1702737)Termination reason: Instruction limit
% 30.75/5.44 % (1702737)Termination phase: Saturation
% 30.75/5.44 % (1702737)Time elapsed: 0.040 s
% 30.75/5.44 % (1702737)Peak memory usage: 13 MB
% 30.75/5.44 % (1702737)Instructions burned: 89 (million)
% 30.75/5.44 % (1702741)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 30.75/5.44 % (1702741)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3658597340:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2955 on theBenchmark for (2955ds/4386Mi)
% 30.75/5.44 % (1702712)Instruction limit reached!
% 30.75/5.44 % (1702712)------------------------------
% 30.75/5.44 % (1702712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.75/5.44 % (1702712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.75/5.44 % (1702712)CaDiCaL version: 2.1.3
% 30.75/5.44 % (1702712)Termination reason: Instruction limit
% 30.75/5.44 % (1702712)Termination phase: Saturation
% 30.75/5.44 % (1702712)Time elapsed: 0.678 s
% 30.75/5.44 % (1702712)Peak memory usage: 12 MB
% 30.75/5.44 % (1702712)Instructions burned: 877 (million)
% 30.75/5.44 % (1702733)Instruction limit reached!
% 30.75/5.44 % (1702733)------------------------------
% 31.83/5.69 % (1702733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.83/5.69 % (1702733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.83/5.69 % (1702733)CaDiCaL version: 2.1.3
% 31.83/5.69 % (1702733)Termination reason: Instruction limit
% 31.83/5.69 % (1702733)Termination phase: Saturation
% 31.83/5.69 % (1702733)Time elapsed: 0.228 s
% 31.83/5.69 % (1702733)Peak memory usage: 13 MB
% 31.83/5.69 % (1702733)Instructions burned: 282 (million)
% 31.83/5.69 % (1702743)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 31.83/5.69 % (1702743)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 31.83/5.69 % (1702743)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=2148457718:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2954 on theBenchmark for (2954ds/483Mi)
% 31.83/5.69 % (1702743)Refutation not found, incomplete strategy
% 31.83/5.69 % (1702743)------------------------------
% 31.83/5.69 % (1702743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.83/5.69 % (1702743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.83/5.69 % (1702743)CaDiCaL version: 2.1.3
% 31.83/5.69 % (1702743)Termination reason: Refutation not found, incomplete strategy
% 31.83/5.69 % (1702743)Time elapsed: 0.001 s
% 31.83/5.69 % (1702743)Peak memory usage: 12 MB
% 31.83/5.69 % (1702743)------------------------------
% 31.83/5.69 % (1702743)------------------------------
% 31.83/5.69 % (1702744)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2655426707:i=73:rtra=on_2953 on theBenchmark for (2953ds/73Mi)
% 31.83/5.69 % (1702744)Refutation not found, incomplete strategy
% 31.83/5.69 % (1702744)------------------------------
% 31.83/5.69 % (1702744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.83/5.69 % (1702744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.83/5.69 % (1702744)CaDiCaL version: 2.1.3
% 31.83/5.69 % (1702744)Termination reason: Refutation not found, incomplete strategy
% 31.83/5.69 % (1702744)Time elapsed: 0.006 s
% 31.83/5.69 % (1702744)Peak memory usage: 11 MB
% 31.83/5.69 % (1702744)Instructions burned: 1 (million)
% 31.83/5.69 % (1702744)------------------------------
% 31.83/5.69 % (1702744)------------------------------
% 31.83/5.69 % (1702748)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 31.83/5.69 % (1702748)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1304465765:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2953 on theBenchmark for (2953ds/39Mi)
% 31.83/5.69 % (1702738)Instruction limit reached!
% 31.83/5.69 % (1702738)------------------------------
% 31.83/5.69 % (1702738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.83/5.69 % (1702738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.83/5.69 % (1702738)CaDiCaL version: 2.1.3
% 31.83/5.69 % (1702738)Termination reason: Instruction limit
% 31.83/5.69 % (1702738)Termination phase: Saturation
% 31.83/5.69 % (1702738)Time elapsed: 0.248 s
% 31.83/5.69 % (1702738)Peak memory usage: 13 MB
% 31.83/5.69 % (1702738)Instructions burned: 280 (million)
% 31.83/5.69 % (1702746)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=144071070:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2953 on theBenchmark for (2953ds/176Mi)
% 31.83/5.69 % (1702748)Instruction limit reached!
% 31.83/5.69 % (1702748)------------------------------
% 31.83/5.69 % (1702748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.83/5.69 % (1702748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.83/5.69 % (1702748)CaDiCaL version: 2.1.3
% 31.83/5.69 % (1702748)Termination reason: Instruction limit
% 31.83/5.69 % (1702748)Termination phase: Saturation
% 31.83/5.69 % (1702748)Time elapsed: 0.034 s
% 31.83/5.69 % (1702748)Peak memory usage: 12 MB
% 31.83/5.69 % (1702748)Instructions burned: 39 (million)
% 31.83/5.69 % (1702750)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2108837566:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2952 on theBenchmark for (2952ds/708Mi)
% 31.83/5.69 % (1702753)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
% 33.59/5.91 % (1702753)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=3480645915:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2952 on theBenchmark for (2952ds/252Mi)
% 33.59/5.91 % (1702746)Instruction limit reached!
% 33.59/5.91 % (1702746)------------------------------
% 33.59/5.91 % (1702746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.59/5.91 % (1702746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.91 % (1702746)CaDiCaL version: 2.1.3
% 33.59/5.91 % (1702746)Termination reason: Instruction limit
% 33.59/5.91 % (1702746)Termination phase: Saturation
% 33.59/5.91 % (1702746)Time elapsed: 0.090 s
% 33.59/5.91 % (1702746)Peak memory usage: 12 MB
% 33.59/5.91 % (1702746)Instructions burned: 176 (million)
% 33.59/5.91 % (1702755)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=1883837703:i=823:fsr=off:rtra=on_2951 on theBenchmark for (2951ds/823Mi)
% 33.59/5.91 % (1702753)Instruction limit reached!
% 33.59/5.91 % (1702753)------------------------------
% 33.59/5.91 % (1702753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.59/5.91 % (1702753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.91 % (1702753)CaDiCaL version: 2.1.3
% 33.59/5.91 % (1702753)Termination reason: Instruction limit
% 33.59/5.91 % (1702753)Termination phase: Saturation
% 33.59/5.91 % (1702753)Time elapsed: 0.170 s
% 33.59/5.91 % (1702753)Peak memory usage: 13 MB
% 33.59/5.91 % (1702753)Instructions burned: 255 (million)
% 33.59/5.91 % (1702695)Instruction limit reached!
% 33.59/5.91 % (1702695)------------------------------
% 33.59/5.91 % (1702695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.59/5.91 % (1702695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.91 % (1702695)CaDiCaL version: 2.1.3
% 33.59/5.91 % (1702695)Termination reason: Instruction limit
% 33.59/5.91 % (1702695)Termination phase: Saturation
% 33.59/5.91 % (1702695)Time elapsed: 1.527 s
% 33.59/5.91 % (1702695)Peak memory usage: 17 MB
% 33.59/5.91 % (1702695)Instructions burned: 2241 (million)
% 33.59/5.91 % (1702757)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 33.59/5.91 % (1702757)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=1113917023:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2950 on theBenchmark for (2950ds/16202Mi)
% 33.59/5.91 % (1702757)Refutation not found, incomplete strategy
% 33.59/5.91 % (1702757)------------------------------
% 33.59/5.91 % (1702757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.59/5.91 % (1702757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.91 % (1702757)CaDiCaL version: 2.1.3
% 33.59/5.91 % (1702757)Termination reason: Refutation not found, incomplete strategy
% 33.59/5.91 % (1702757)Time elapsed: 0.002 s
% 33.59/5.91 % (1702757)Peak memory usage: 11 MB
% 33.59/5.91 % (1702757)Instructions burned: 1 (million)
% 33.59/5.91 % (1702758)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=3833400862:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2950 on theBenchmark for (2950ds/300Mi)
% 33.59/5.91 % (1702757)------------------------------
% 33.59/5.91 % (1702757)------------------------------
% 33.59/5.91 % (1702761)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 33.59/5.91 % (1702761)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 33.59/5.91 % (1702761)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=1645741319:i=177:add=on:bd=preordered:rtra=on:rawr=on_2950 on theBenchmark for (2950ds/177Mi)
% 33.59/5.91 % (1702755)Instruction limit reached!
% 33.59/5.91 % (1702755)------------------------------
% 33.59/5.91 % (1702755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.59/5.91 % (1702755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.91 % (1702755)CaDiCaL version: 2.1.3
% 33.59/5.91 % (1702755)Termination reason: Instruction limit
% 33.59/5.91 % (1702755)Termination phase: Saturation
% 34.35/6.19 % (1702755)Time elapsed: 0.336 s
% 34.35/6.19 % (1702755)Peak memory usage: 13 MB
% 34.35/6.19 % (1702755)Instructions burned: 824 (million)
% 34.35/6.19 % (1702761)Instruction limit reached!
% 34.35/6.19 % (1702761)------------------------------
% 34.35/6.19 % (1702761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.35/6.19 % (1702761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.35/6.19 % (1702761)CaDiCaL version: 2.1.3
% 34.35/6.19 % (1702761)Termination reason: Instruction limit
% 34.35/6.19 % (1702761)Termination phase: Saturation
% 34.35/6.19 % (1702761)Time elapsed: 0.158 s
% 34.35/6.19 % (1702761)Peak memory usage: 12 MB
% 34.35/6.19 % (1702761)Instructions burned: 178 (million)
% 34.35/6.19 % (1702763)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=1712713577:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2948 on theBenchmark for (2948ds/715Mi)
% 34.35/6.19 % (1702763)Refutation not found, incomplete strategy
% 34.35/6.19 % (1702763)------------------------------
% 34.35/6.19 % (1702763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.35/6.19 % (1702763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.35/6.19 % (1702763)CaDiCaL version: 2.1.3
% 34.35/6.19 % (1702763)Termination reason: Refutation not found, incomplete strategy
% 34.35/6.19 % (1702763)Time elapsed: 0.002 s
% 34.35/6.19 % (1702763)Peak memory usage: 11 MB
% 34.35/6.19 % (1702763)Instructions burned: 1 (million)
% 34.35/6.19 % (1702763)------------------------------
% 34.35/6.19 % (1702763)------------------------------
% 34.35/6.19 % (1702750)Instruction limit reached!
% 34.35/6.19 % (1702750)------------------------------
% 34.35/6.19 % (1702750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.35/6.19 % (1702750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.35/6.19 % (1702750)CaDiCaL version: 2.1.3
% 34.35/6.19 % (1702750)Termination reason: Instruction limit
% 34.35/6.19 % (1702750)Termination phase: Saturation
% 34.35/6.19 % (1702750)Time elapsed: 0.470 s
% 34.35/6.19 % (1702750)Peak memory usage: 14 MB
% 34.35/6.19 % (1702750)Instructions burned: 709 (million)
% 34.35/6.19 % (1702766)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=132376877:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2948 on theBenchmark for (2948ds/606Mi)
% 34.35/6.19 % (1702764)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 34.35/6.19 % (1702764)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 34.35/6.19 % (1702758)Instruction limit reached!
% 34.35/6.19 % (1702758)------------------------------
% 34.35/6.19 % (1702758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.35/6.19 % (1702758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.35/6.19 % (1702758)CaDiCaL version: 2.1.3
% 34.35/6.19 % (1702758)Termination reason: Instruction limit
% 34.35/6.19 % (1702758)Termination phase: Saturation
% 34.35/6.19 % (1702758)Time elapsed: 0.234 s
% 34.35/6.19 % (1702758)Peak memory usage: 12 MB
% 34.35/6.19 % (1702758)Instructions burned: 302 (million)
% 34.35/6.19 % (1702764)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=1272669399:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2948 on theBenchmark for (2948ds/230Mi)
% 34.35/6.19 % (1702764)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 34.35/6.19 % (1702767)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 34.35/6.19 % (1702769)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2241392507:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2947 on theBenchmark for (2947ds/445Mi)
% 34.35/6.19 % (1702767)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=544977129:lrd=on:i=841:nm=0:rtra=on_2947 on theBenchmark for (2947ds/841Mi)
% 34.35/6.19 % (1702764)Instruction limit reached!
% 34.35/6.19 % (1702764)------------------------------
% 34.35/6.19 % (1702764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.35/6.19 % (1702764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.39/6.29 % (1702764)CaDiCaL version: 2.1.3
% 36.39/6.29 % (1702764)Termination reason: Instruction limit
% 36.39/6.29 % (1702764)Termination phase: Saturation
% 36.39/6.29 % (1702764)Time elapsed: 0.189 s
% 36.39/6.29 % (1702764)Peak memory usage: 13 MB
% 36.39/6.29 % (1702764)Instructions burned: 231 (million)
% 36.39/6.29 % (1702773)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2078938999:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2945 on theBenchmark for (2945ds/71Mi)
% 36.39/6.29 % (1702766)Instruction limit reached!
% 36.39/6.29 % (1702766)------------------------------
% 36.39/6.29 % (1702766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.39/6.29 % (1702766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.39/6.29 % (1702766)CaDiCaL version: 2.1.3
% 36.39/6.29 % (1702766)Termination reason: Instruction limit
% 36.39/6.29 % (1702766)Termination phase: Saturation
% 36.39/6.29 % (1702766)Time elapsed: 0.247 s
% 36.39/6.29 % (1702766)Peak memory usage: 13 MB
% 36.39/6.29 % (1702766)Instructions burned: 607 (million)
% 36.39/6.29 % (1702775)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
% 36.39/6.29 % (1702775)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 36.39/6.29 % (1702775)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=540529964:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2945 on theBenchmark for (2945ds/100Mi)
% 36.39/6.29 % (1702773)Instruction limit reached!
% 36.39/6.29 % (1702773)------------------------------
% 36.39/6.29 % (1702773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.39/6.29 % (1702773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.39/6.29 % (1702773)CaDiCaL version: 2.1.3
% 36.39/6.29 % (1702773)Termination reason: Instruction limit
% 36.39/6.29 % (1702773)Termination phase: Saturation
% 36.39/6.29 % (1702773)Time elapsed: 0.062 s
% 36.39/6.29 % (1702773)Peak memory usage: 12 MB
% 36.39/6.29 % (1702773)Instructions burned: 71 (million)
% 36.39/6.29 % (1702769)Instruction limit reached!
% 36.39/6.29 % (1702769)------------------------------
% 36.39/6.29 % (1702769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.39/6.29 % (1702769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.39/6.29 % (1702769)CaDiCaL version: 2.1.3
% 36.39/6.29 % (1702769)Termination reason: Instruction limit
% 36.39/6.29 % (1702769)Termination phase: Saturation
% 36.39/6.29 % (1702769)Time elapsed: 0.300 s
% 36.39/6.29 % (1702769)Peak memory usage: 14 MB
% 36.39/6.29 % (1702769)Instructions burned: 446 (million)
% 36.39/6.29 % (1702777)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 36.39/6.29 % (1702777)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=192322106:i=1352:add=on:aac=none:rtra=on_2944 on theBenchmark for (2944ds/1352Mi)
% 36.39/6.29 % (1702777)Refutation not found, incomplete strategy
% 36.39/6.29 % (1702777)------------------------------
% 36.39/6.29 % (1702777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.39/6.29 % (1702777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.39/6.29 % (1702777)CaDiCaL version: 2.1.3
% 36.39/6.29 % (1702777)Termination reason: Refutation not found, incomplete strategy
% 36.39/6.29 % (1702777)Time elapsed: 0.002 s
% 36.39/6.29 % (1702777)Peak memory usage: 11 MB
% 36.39/6.29 % (1702777)Instructions burned: 2 (million)
% 36.39/6.29 % (1702777)------------------------------
% 36.39/6.29 % (1702777)------------------------------
% 36.39/6.29 % (1702778)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=4029323137:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2944 on theBenchmark for (2944ds/646Mi)
% 36.39/6.29 % (1702775)Instruction limit reached!
% 36.39/6.29 % (1702775)------------------------------
% 36.39/6.29 % (1702775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.39/6.29 % (1702775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.05/6.50 % (1702775)CaDiCaL version: 2.1.3
% 31.05/6.50 % (1702775)Termination reason: Instruction limit
% 31.05/6.50 % (1702775)Termination phase: Saturation
% 31.05/6.50 % (1702775)Time elapsed: 0.128 s
% 31.05/6.50 % (1702775)Peak memory usage: 12 MB
% 31.05/6.50 % (1702775)Instructions burned: 101 (million)
% 31.05/6.50 % (1702780)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=3455096781:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2944 on theBenchmark for (2944ds/1924Mi)
% 31.05/6.50 % (1702780)Refutation not found, incomplete strategy
% 31.05/6.50 % (1702780)------------------------------
% 31.05/6.50 % (1702780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.05/6.50 % (1702780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.05/6.50 % (1702780)CaDiCaL version: 2.1.3
% 31.05/6.50 % (1702780)Termination reason: Refutation not found, incomplete strategy
% 31.05/6.50 % (1702780)Time elapsed: 0.008 s
% 31.05/6.50 % (1702780)Peak memory usage: 11 MB
% 31.05/6.50 % (1702780)------------------------------
% 31.05/6.50 % (1702780)------------------------------
% 31.05/6.50 % (1702782)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1530859993:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2943 on theBenchmark for (2943ds/984Mi)
% 31.05/6.50 % (1702782)Refutation not found, incomplete strategy
% 31.05/6.50 % (1702782)------------------------------
% 31.05/6.50 % (1702782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.05/6.50 % (1702782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.05/6.50 % (1702782)CaDiCaL version: 2.1.3
% 31.05/6.50 % (1702782)Termination reason: Refutation not found, incomplete strategy
% 31.05/6.50 % (1702782)Time elapsed: 0.010 s
% 31.05/6.50 % (1702782)Peak memory usage: 11 MB
% 31.05/6.50 % (1702782)Instructions burned: 1 (million)
% 31.05/6.50 % (1702782)------------------------------
% 31.05/6.50 % (1702782)------------------------------
% 31.05/6.50 % (1702784)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=1979393724:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2943 on theBenchmark for (2943ds/592Mi)
% 31.05/6.50 % (1702786)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=2141317971:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2942 on theBenchmark for (2942ds/872Mi)
% 31.05/6.50 % (1702786)Refutation not found, incomplete strategy
% 31.05/6.50 % (1702786)------------------------------
% 31.05/6.50 % (1702786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.05/6.50 % (1702786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.05/6.50 % (1702786)CaDiCaL version: 2.1.3
% 31.05/6.50 % (1702786)Termination reason: Refutation not found, incomplete strategy
% 31.05/6.50 % (1702786)Time elapsed: 0.001 s
% 31.05/6.50 % (1702786)Peak memory usage: 11 MB
% 31.05/6.50 % (1702786)------------------------------
% 31.05/6.50 % (1702786)------------------------------
% 31.05/6.50 % (1702789)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 31.05/6.50 % (1702789)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=3756109519:i=999:add=on:rtra=on_2942 on theBenchmark for (2942ds/999Mi)
% 31.05/6.50 % (1702778)Instruction limit reached!
% 31.05/6.50 % (1702778)------------------------------
% 31.05/6.50 % (1702778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.05/6.50 % (1702778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.05/6.50 % (1702778)CaDiCaL version: 2.1.3
% 31.05/6.50 % (1702778)Termination reason: Instruction limit
% 31.05/6.50 % (1702778)Termination phase: Saturation
% 31.05/6.50 % (1702778)Time elapsed: 0.283 s
% 31.05/6.50 % (1702778)Peak memory usage: 14 MB
% 31.05/6.50 % (1702778)Instructions burned: 647 (million)
% 31.05/6.50 % (1702767)Instruction limit reached!
% 31.05/6.50 % (1702767)------------------------------
% 31.05/6.50 % (1702767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.05/6.50 % (1702767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.05/6.50 % (1702767)CaDiCaL version: 2.1.3
% 31.05/6.50 % (1702767)Termination reason: Instruction limit
% 31.05/6.50 % (1702767)Termination phase: Saturation
% 31.05/6.50 % (1702767)Time elapsed: 0.641 s
% 31.05/6.50 % (1702767)Peak memory usage: 14 MB
% 31.05/6.50 % (1702767)Instructions burned: 841 (million)
% 31.05/6.50 % (1702791)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 31.05/6.50 % (1702791)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=1255675203:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2941 on theBenchmark for (2941ds/244Mi)
% 31.05/6.50 % (1702791)Refutation not found, incomplete strategy
% 31.05/6.50 % (1702791)------------------------------
% 31.05/6.50 % (1702791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.05/6.50 % (1702791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.05/6.50 % (1702791)CaDiCaL version: 2.1.3
% 31.05/6.50 % (1702791)Termination reason: Refutation not found, incomplete strategy
% 31.05/6.50 % (1702791)Time elapsed: 0.001 s
% 31.05/6.50 % (1702791)Peak memory usage: 11 MB
% 31.05/6.50 % (1702791)Instructions burned: 2 (million)
% 31.05/6.50 % (1702791)------------------------------
% 31.05/6.50 % (1702791)------------------------------
% 31.05/6.50 % (1702792)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=3646174861:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2941 on theBenchmark for (2941ds/113Mi)
% 31.05/6.50 % (1702792)Refutation not found, incomplete strategy
% 31.05/6.50 % (1702792)------------------------------
% 31.05/6.50 % (1702792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.05/6.50 % (1702792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.05/6.50 % (1702792)CaDiCaL version: 2.1.3
% 31.05/6.50 % (1702792)Termination reason: Refutation not found, incomplete strategy
% 31.05/6.50 % (1702792)Time elapsed: 0.002 s
% 31.05/6.50 % (1702792)Peak memory usage: 11 MB
% 31.05/6.50 % (1702792)Instructions burned: 1 (million)
% 31.05/6.50 % (1702792)------------------------------
% 31.05/6.50 % (1702792)------------------------------
% 31.05/6.50 % (1702794)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=927048128:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2940 on theBenchmark for (2940ds/7795Mi)
% 31.05/6.50 % (1702794)Refutation not found, incomplete strategy
% 31.05/6.50 % (1702794)------------------------------
% 31.05/6.50 % (1702794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.05/6.50 % (1702794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.05/6.50 % (1702794)CaDiCaL version: 2.1.3
% 31.05/6.50 % (1702794)Termination reason: Refutation not found, incomplete strategy
% 31.05/6.50 % (1702794)Time elapsed: 0.0000 s
% 31.05/6.50 % (1702794)Peak memory usage: 11 MB
% 31.05/6.50 % (1702794)------------------------------
% 31.05/6.50 % (1702794)------------------------------
% 31.05/6.50 % (1702796)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2946872709:st=2:i=5026:sd=1:rtra=on:ss=axioms_2940 on theBenchmark for (2940ds/5026Mi)
% 31.05/6.50 % (1702796)Refutation not found, incomplete strategy
% 31.05/6.50 % (1702796)------------------------------
% 31.05/6.50 % (1702796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.05/6.50 % (1702796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.05/6.50 % (1702796)CaDiCaL version: 2.1.3
% 31.05/6.50 % (1702796)Termination reason: Refutation not found, incomplete strategy
% 31.05/6.50 % (1702796)Time elapsed: 0.001 s
% 31.05/6.50 % (1702796)Peak memory usage: 11 MB
% 31.05/6.50 % (1702796)------------------------------
% 31.05/6.50 % (1702796)------------------------------
% 31.05/6.50 % (1702798)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 31.05/6.50 % (1702798)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=2763049669:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2940 on theBenchmark for (2940ds/763Mi)
% 31.05/6.50 % (1702798)Refutation not found, incomplete strategy
% 31.05/6.50 % (1702798)------------------------------
% 31.05/6.50 % (1702798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.05/6.50 % (1702798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.05/6.50 % (1702798)CaDiCaL version: 2.1.3
% 31.05/6.50 % (1702798)Termination reason: Refutation not found, incomplete strategy
% 31.05/6.50 % (1702798)Time elapsed: 0.001 s
% 31.05/6.50 % (1702798)Peak memory usage: 11 MB
% 31.05/6.50 % (1702798)Instructions burned: 1 (million)
% 31.05/6.50 % (1702798)------------------------------
% 31.05/6.50 % (1702798)------------------------------
% 31.05/6.50 % (1702800)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1942126189:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2940 on theBenchmark for (2940ds/1144Mi)
% 31.05/6.50 % (1702800)Refutation not found, incomplete strategy
% 31.05/6.50 % (1702800)------------------------------
% 31.05/6.50 % (1702800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.05/6.50 % (1702800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.05/6.50 % (1702800)CaDiCaL version: 2.1.3
% 31.05/6.50 % (1702800)Termination reason: Refutation not found, incomplete strategy
% 31.05/6.50 % (1702800)Time elapsed: 0.0000 s
% 31.05/6.50 % (1702800)Peak memory usage: 11 MB
% 31.05/6.50 % (1702800)------------------------------
% 31.05/6.50 % (1702800)------------------------------
% 31.05/6.50 % (1702802)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 31.05/6.50 % (1702802)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=3974858377:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2939 on theBenchmark for (2939ds/52Mi)
% 31.05/6.50 % (1702804)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=637706349:i=1724:fsr=off:rtra=on:fe=abstraction_2939 on theBenchmark for (2939ds/1724Mi)
% 31.05/6.50 % (1702802)Instruction limit reached!
% 31.05/6.50 % (1702802)------------------------------
% 31.05/6.50 % (1702802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.05/6.50 % (1702802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.05/6.50 % (1702802)CaDiCaL version: 2.1.3
% 31.05/6.50 % (1702802)Termination reason: Instruction limit
% 31.05/6.50 % (1702802)Termination phase: Saturation
% 31.05/6.50 % (1702802)Time elapsed: 0.048 s
% 31.05/6.50 % (1702802)Peak memory usage: 12 MB
% 31.05/6.50 % (1702802)Instructions burned: 53 (million)
% 31.05/6.50 % (1702807)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=907113138:i=439:add=on:slsql=off:rtra=on:ntd=on_2938 on theBenchmark for (2938ds/439Mi)
% 31.05/6.50 % (1702706) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1702386-1702706"...
% 31.05/6.50 % (1702784)Instruction limit reached!
% 31.05/6.50 % (1702784)------------------------------
% 31.05/6.50 % (1702784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.05/6.50 % (1702784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.05/6.50 % (1702784)CaDiCaL version: 2.1.3
% 31.05/6.50 % (1702784)Termination reason: Instruction limit
% 31.05/6.50 % (1702784)Termination phase: Saturation
% 31.05/6.50 % (1702784)Time elapsed: 0.459 s
% 31.05/6.50 % (1702784)Peak memory usage: 12 MB
% 31.05/6.50 % (1702784)Instructions burned: 592 (million)
% 31.05/6.50 % (1702706)...printing done.
% 31.05/6.50 % (1702706)Refutation found. Thanks to Tanya!
% 31.05/6.50 % SZS status Unsatisfiable for theBenchmark
% 31.05/6.50 % SZS output start Proof for theBenchmark
% See solution above
% 31.05/6.52 % (1702706)------------------------------
% 31.05/6.52 % (1702706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.05/6.52 % (1702706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.05/6.52 % (1702706)CaDiCaL version: 2.1.3
% 31.05/6.52 % (1702706)Termination reason: Refutation
% 31.05/6.52 % (1702706)Time elapsed: 2.411 s
% 31.05/6.52 % (1702706)Peak memory usage: 18 MB
% 31.05/6.52 % (1702706)Instructions burned: 2816 (million)
% 31.05/6.52 % (1702386)Success in time 6.225 s
% 31.05/6.52 % Vampire exiting
%------------------------------------------------------------------------------