%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA130^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:56:11 AM UTC 2026
% Result : Unsatisfiable 112.21s 16.26s
% Output : Refutation 112.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 223
% Syntax : Number of formulae : 2595 ( 52 unt; 0 typ; 216 def)
% Number of atoms : 23024 (4849 equ; 0 cnn)
% Maximal formula atoms : 13 ( 8 avg)
% Number of connectives : 31115 (6081 ~;7888 |; 0 &;16930 @)
% ( 216 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 224 ( 221 usr; 219 con; 0-2 aty)
% Number of variables : 1617 ( 0 sgn1617 !; 0 ?;1617 :)
% 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/sandbox2/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( ( s @ X0 )
!= ( s @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X0: $i,X1: $i] :
( ( r @ X0 @ X1 )
| ( X0 = X1 )
| ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X3: $i,X2: $i,X1: $i,X0: $i] :
( ~ ( r @ X0 @ X3 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X1 @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X2: $i,X0: $i,X3: $i,X1: $i,X4: $i] :
( ~ ( b @ X1 @ X2 )
| ~ ( b @ X2 @ X4 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X0 @ X3 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X1 @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X3 @ X0 )
| ~ ( r @ X2 @ X1 )
| ~ ( r @ X3 @ X2 )
| ~ ( r @ X2 @ X0 ) ),
inference(rectify,[],[f6]) ).
thf(f9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X3 @ X0 )
!= $true )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X3 @ X2 ) )
| ( $true
!= ( r @ X2 @ X0 ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f11,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f13,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X3 @ X0 )
| ~ ( b @ X0 @ X4 )
| ~ ( b @ X2 @ X4 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X3 @ X2 ) ),
inference(rectify,[],[f7]) ).
thf(f15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X2 @ X4 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i] :
( ( r @ X0 @ X1 )
| ( X0 = X1 )
| ( b @ X0 @ X1 ) ),
inference(rectify,[],[f5]) ).
thf(f17,plain,
! [X1: $i,X0: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i,X1: $i,X3: $i,X2: $i] :
( ( $true
!= ( r @ X3 @ X2 ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X3 @ X0 )
!= $true )
| ( $true
!= ( r @ X2 @ X1 ) ) ),
inference(flattening,[],[f9]) ).
thf(f19,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f13]) ).
thf(f21,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( s @ X0 )
!= ( s @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f22,plain,
! [X1: $i,X4: $i,X0: $i,X2: $i,X3: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ X0 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X2 @ X4 )
!= $true )
| ( ( b @ X0 @ X4 )
!= $true ) ),
inference(flattening,[],[f15]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X0 @ X3 )
!= $true )
| ( ( b @ X4 @ X2 )
!= $true )
| ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X4 @ X3 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(rectify,[],[f22]) ).
thf(f24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X2 @ X3 ) )
| ( ( r @ X3 @ X0 )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X3 @ X1 )
!= $true ) ),
inference(rectify,[],[f18]) ).
thf(f25,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( X0 = X1 )
| ( $true
= ( b @ X1 @ X0 ) ) ),
inference(rectify,[],[f17]) ).
thf(f26,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true )
| ( ( b @ X4 @ X3 )
!= $true )
| ( ( b @ X4 @ X2 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f27,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f28,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f29,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f30,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f19]) ).
thf(f31,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X3 ) )
| ( ( r @ X3 @ X0 )
!= $true )
| ( ( r @ X3 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f32,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ X1 @ X0 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f35,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f32,f28]) ).
thf(f36,plain,
! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(extensionality_resolution,[],[f32,f28]) ).
thf(f37,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f32,f27]) ).
thf(f42,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( b @ X3 @ ( s @ X0 ) ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f26,f35]) ).
thf(f43,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ X0 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f42]) ).
thf(f45,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(constrained_superposition,[],[f43,f35]) ).
thf(f46,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(duplicate_literal_removal,[],[f45]) ).
thf(f47,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f46]) ).
thf(f50,definition,
( spl0_1
<=> ! [X0: $i] :
( ( r @ z @ ( s @ X0 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f51,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ X0 ) )
= $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f50]) ).
thf(f53,definition,
( spl0_2
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f54,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
thf(f55,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f47,f53,f50]) ).
thf(f59,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(constrained_superposition,[],[f26,f36]) ).
thf(f61,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ z )
!= $true ) ),
inference(trivial_inequality_removal,[],[f59]) ).
thf(f74,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(extensionality_resolution,[],[f37,f28]) ).
thf(f75,plain,
! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f37,f28]) ).
thf(f76,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f37,f27]) ).
thf(f100,definition,
( spl0_3
<=> ! [X2: $i] :
( $true
!= ( r @ z @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f101,plain,
( ! [X2: $i] :
( $true
!= ( r @ z @ X2 ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f100]) ).
thf(f103,definition,
( spl0_4
<=> ! [X0: $i,X1: $i,X3: $i] :
( ( z = X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X3 @ X0 )
= $true )
| ( z = X3 )
| ( $true
= ( r @ X3 @ z ) )
| ( ( r @ z @ X1 )
!= $true )
| ( X0 = X3 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f104,plain,
( ! [X3: $i,X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
= ( r @ X3 @ z ) )
| ( ( r @ X3 @ X0 )
= $true )
| ( z = X3 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( X0 = X3 )
| ( z = X0 ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f103]) ).
thf(f106,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f61,f74]) ).
thf(f110,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f26,f74]) ).
thf(f111,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X2 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f110]) ).
thf(f112,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ z )
!= $true ) ),
inference(trivial_inequality_removal,[],[f106]) ).
thf(f117,definition,
( spl0_5
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f118,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f117]) ).
thf(f120,definition,
( spl0_6
<=> ( $true
= ( r @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f121,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f120]) ).
thf(f122,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f112,f120,f117]) ).
thf(f126,definition,
( spl0_7
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f127,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f126]) ).
thf(f155,definition,
( spl0_10
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f156,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f155]) ).
thf(f158,definition,
( spl0_11
<=> ! [X2: $i] :
( ( r @ ( s @ z ) @ X2 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f159,plain,
( ! [X2: $i] :
( ( r @ ( s @ z ) @ X2 )
!= $true )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f158]) ).
thf(f186,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f61,f75]) ).
thf(f190,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f26,f75]) ).
thf(f192,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f190]) ).
thf(f196,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f186]) ).
thf(f200,definition,
( spl0_12
<=> ( $true
= ( b @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f201,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_12 ),
inference(avatar_component_clause,[],[f200]) ).
thf(f216,definition,
( spl0_16
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f217,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f216]) ).
thf(f219,definition,
( spl0_17
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f220,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f219]) ).
thf(f221,plain,
( spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f196,f219,f216]) ).
thf(f229,definition,
( spl0_19
<=> ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f230,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f229]) ).
thf(f244,definition,
( spl0_23
<=> ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f245,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f244]) ).
thf(f251,definition,
( spl0_25
<=> ( ( r @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
thf(f252,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f251]) ).
thf(f256,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_12 ),
inference(constrained_superposition,[],[f201,f36]) ).
thf(f259,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_12 ),
inference(trivial_inequality_removal,[],[f256]) ).
thf(f330,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f192,f75]) ).
thf(f332,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f330]) ).
thf(f333,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f332]) ).
thf(f337,definition,
( spl0_26
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f338,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f337]) ).
thf(f339,plain,
( spl0_19
| spl0_26 ),
inference(avatar_split_clause,[],[f333,f337,f229]) ).
thf(f349,definition,
( spl0_27
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
thf(f350,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f349]) ).
thf(f353,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f259,f200,f120]) ).
thf(f354,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f31,f51]) ).
thf(f355,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X2 )
!= $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f354]) ).
thf(f356,plain,
( ! [X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_1
| ~ spl0_19 ),
inference(constrained_superposition,[],[f355,f230]) ).
thf(f357,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_1
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f356]) ).
thf(f358,plain,
( spl0_23
| ~ spl0_1
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f357,f229,f50,f244]) ).
thf(f375,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f118,f74]) ).
thf(f379,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_5 ),
inference(duplicate_literal_removal,[],[f375]) ).
thf(f380,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f379]) ).
thf(f385,definition,
( spl0_28
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f386,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f385]) ).
thf(f387,plain,
( ~ spl0_12
| spl0_28
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f380,f117,f385,f200]) ).
thf(f450,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f76,f27]) ).
thf(f452,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f76,f28]) ).
thf(f453,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f76,f28]) ).
thf(f515,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f111,f452]) ).
thf(f517,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f61,f452]) ).
thf(f521,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(constrained_superposition,[],[f26,f452]) ).
thf(f522,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f515]) ).
thf(f528,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f521]) ).
thf(f530,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
inference(trivial_inequality_removal,[],[f517]) ).
thf(f533,definition,
( spl0_29
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f534,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f533]) ).
thf(f536,definition,
( spl0_30
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f537,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f536]) ).
thf(f538,plain,
( spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f522,f536,f533]) ).
thf(f544,definition,
( spl0_32
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f545,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_32 ),
inference(avatar_component_clause,[],[f544]) ).
thf(f549,definition,
( spl0_33
<=> ( ( s @ ( s @ z ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
thf(f550,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f549]) ).
thf(f552,definition,
( spl0_34
<=> ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
thf(f553,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_34 ),
inference(avatar_component_clause,[],[f552]) ).
thf(f555,definition,
( spl0_35
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f556,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f555]) ).
thf(f563,definition,
( spl0_37
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
thf(f564,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f563]) ).
thf(f566,definition,
( spl0_38
<=> ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f567,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f566]) ).
thf(f568,plain,
( spl0_37
| spl0_38 ),
inference(avatar_split_clause,[],[f530,f566,f563]) ).
thf(f576,definition,
( spl0_40
<=> ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
thf(f577,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f576]) ).
thf(f581,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_32 ),
inference(constrained_superposition,[],[f545,f36]) ).
thf(f583,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_32 ),
inference(trivial_inequality_removal,[],[f581]) ).
thf(f585,plain,
( spl0_38
| spl0_32 ),
inference(avatar_split_clause,[],[f583,f544,f566]) ).
thf(f587,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_34 ),
inference(constrained_superposition,[],[f553,f35]) ).
thf(f590,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_34 ),
inference(trivial_inequality_removal,[],[f587]) ).
thf(f591,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_19
| ~ spl0_23 ),
inference(constrained_superposition,[],[f245,f230]) ).
thf(f593,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_19
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f591]) ).
thf(f595,plain,
( $false
| ~ spl0_1
| ~ spl0_19
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f593,f51]) ).
thf(f596,plain,
( ~ spl0_1
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f595]) ).
thf(f598,definition,
( spl0_41
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f599,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f598]) ).
thf(f611,definition,
( spl0_43
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
thf(f612,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f611]) ).
thf(f614,definition,
( spl0_44
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
thf(f615,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f614]) ).
thf(f620,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f338,f74]) ).
thf(f623,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f620]) ).
thf(f625,plain,
( spl0_28
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f623,f337,f385]) ).
thf(f653,plain,
( ( $true != $true )
| ~ spl0_6
| ~ spl0_11 ),
inference(constrained_superposition,[],[f159,f121]) ).
thf(f654,plain,
( $false
| ~ spl0_6
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f653]) ).
thf(f655,plain,
( ~ spl0_6
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f654]) ).
thf(f656,plain,
( spl0_40
| spl0_34 ),
inference(avatar_split_clause,[],[f590,f552,f576]) ).
thf(f662,plain,
( $false
| ~ spl0_3
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f252,f101]) ).
thf(f663,plain,
( ~ spl0_3
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f662]) ).
thf(f664,plain,
( $false
| ~ spl0_3
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f577,f101]) ).
thf(f665,plain,
( ~ spl0_3
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f664]) ).
thf(f666,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f31,f230]) ).
thf(f667,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f666]) ).
thf(f668,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( z = X0 )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f32]) ).
thf(f669,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f36]) ).
thf(f670,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f668]) ).
thf(f671,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f669]) ).
thf(f674,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( X0 = X1 )
| ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f671,f37]) ).
thf(f676,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f671,f76]) ).
thf(f679,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f676]) ).
thf(f680,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f674]) ).
thf(f687,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f556,f36]) ).
thf(f689,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f687]) ).
thf(f718,definition,
( spl0_47
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
thf(f719,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f718]) ).
thf(f722,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_47 ),
inference(constrained_superposition,[],[f719,f35]) ).
thf(f727,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f722]) ).
thf(f731,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_3
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f727,f101]) ).
thf(f733,definition,
( spl0_48
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
thf(f734,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f733]) ).
thf(f735,plain,
( ~ spl0_34
| spl0_48
| ~ spl0_3
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f731,f718,f100,f733,f552]) ).
thf(f736,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_19
| ~ spl0_48 ),
inference(constrained_superposition,[],[f667,f734]) ).
thf(f738,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_19
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f736]) ).
thf(f741,definition,
( spl0_49
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
thf(f742,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f741]) ).
thf(f744,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_19
| ~ spl0_48 ),
inference(constrained_superposition,[],[f738,f734]) ).
thf(f745,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_19
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f744]) ).
thf(f746,plain,
( $false
| ~ spl0_19
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f745,f230]) ).
thf(f747,plain,
( ~ spl0_19
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f746]) ).
thf(f748,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_19
| ~ spl0_38 ),
inference(constrained_superposition,[],[f667,f567]) ).
thf(f751,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_19
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f748]) ).
thf(f752,plain,
( spl0_43
| ~ spl0_19
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f751,f566,f229,f611]) ).
thf(f753,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_38
| ~ spl0_43 ),
inference(constrained_superposition,[],[f612,f567]) ).
thf(f754,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_38
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f753]) ).
thf(f755,plain,
( $false
| ~ spl0_6
| ~ spl0_38
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f754,f121]) ).
thf(f756,plain,
( ~ spl0_6
| ~ spl0_38
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f755]) ).
thf(f764,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f127,f36]) ).
thf(f767,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f764]) ).
thf(f769,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ X1 ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X1 ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ X1 ) )
= X0 ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f386,f32]) ).
thf(f777,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X1 ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ X1 ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ X1 ) ) )
= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f769]) ).
thf(f782,definition,
( spl0_50
<=> ( $true
= ( b @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
thf(f783,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_50 ),
inference(avatar_component_clause,[],[f782]) ).
thf(f785,definition,
( spl0_51
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
thf(f786,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f785]) ).
thf(f788,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_50 ),
inference(constrained_superposition,[],[f783,f35]) ).
thf(f791,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_50 ),
inference(trivial_inequality_removal,[],[f788]) ).
thf(f793,plain,
( spl0_25
| spl0_50 ),
inference(avatar_split_clause,[],[f791,f782,f251]) ).
thf(f811,definition,
( spl0_52
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
thf(f812,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f811]) ).
thf(f814,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_37 ),
inference(constrained_superposition,[],[f564,f452]) ).
thf(f820,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_37 ),
inference(duplicate_literal_removal,[],[f814]) ).
thf(f821,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f820]) ).
thf(f837,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f534,f452]) ).
thf(f847,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_29 ),
inference(duplicate_literal_removal,[],[f837]) ).
thf(f848,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f847]) ).
thf(f865,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f528,f35]) ).
thf(f868,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f528,f75]) ).
thf(f871,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) ),
inference(trivial_inequality_removal,[],[f865]) ).
thf(f873,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f868]) ).
thf(f875,definition,
( spl0_54
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f876,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ z )
!= $true ) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f875]) ).
thf(f877,plain,
( spl0_54
| spl0_52 ),
inference(avatar_split_clause,[],[f871,f811,f875]) ).
thf(f878,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( X0 = X1 )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f670,f32]) ).
thf(f885,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( z = X1 )
| ( X0 = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f878]) ).
thf(f894,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( z = X0 )
| ( $true != $true )
| ( z = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f885,f32]) ).
thf(f895,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X1 )
| ( $true != $true )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f885,f36]) ).
thf(f896,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X1 )
| ( ( s @ X0 )
= X1 )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( $true
= ( r @ X1 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f895]) ).
thf(f897,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( z = X1 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f894]) ).
thf(f899,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_49
| ~ spl0_51 ),
inference(constrained_superposition,[],[f742,f786]) ).
thf(f901,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f31,f786]) ).
thf(f903,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_49
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f899]) ).
thf(f904,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f901]) ).
thf(f908,definition,
( spl0_55
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
thf(f909,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f908]) ).
thf(f910,plain,
( spl0_11
| spl0_55
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f904,f785,f908,f158]) ).
thf(f922,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_7
| ~ spl0_19 ),
inference(constrained_superposition,[],[f667,f767]) ).
thf(f924,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_49 ),
inference(constrained_superposition,[],[f742,f767]) ).
thf(f926,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f31,f767]) ).
thf(f927,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f924]) ).
thf(f929,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X2 )
!= $true ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f926]) ).
thf(f931,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_7
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f922]) ).
thf(f935,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f931,f667]) ).
thf(f938,plain,
( spl0_10
| ~ spl0_7
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f935,f229,f126,f155]) ).
thf(f950,definition,
( spl0_56
<=> ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
thf(f951,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f950]) ).
thf(f953,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_30 ),
inference(avatar_component_clause,[],[f536]) ).
thf(f955,definition,
( spl0_57
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
thf(f956,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f955]) ).
thf(f957,plain,
( ~ spl0_30
| spl0_57
| ~ spl0_7
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f927,f741,f126,f955,f536]) ).
thf(f959,definition,
( spl0_58
<=> ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
thf(f960,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f959]) ).
thf(f961,plain,
( ~ spl0_30
| spl0_58
| ~ spl0_49
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f903,f785,f741,f959,f536]) ).
thf(f963,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_7
| spl0_30 ),
inference(constrained_superposition,[],[f953,f767]) ).
thf(f964,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_30
| ~ spl0_51 ),
inference(constrained_superposition,[],[f953,f786]) ).
thf(f965,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_30
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f964]) ).
thf(f966,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_7
| spl0_30 ),
inference(trivial_inequality_removal,[],[f963]) ).
thf(f967,plain,
( spl0_40
| spl0_30
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f965,f785,f536,f576]) ).
thf(f968,plain,
( spl0_38
| ~ spl0_7
| spl0_30 ),
inference(avatar_split_clause,[],[f966,f536,f126,f566]) ).
thf(f1011,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_6 ),
inference(avatar_component_clause,[],[f120]) ).
thf(f1014,definition,
( spl0_60
<=> ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
thf(f1015,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f1014]) ).
thf(f1021,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_2
| spl0_6 ),
inference(constrained_superposition,[],[f1011,f897]) ).
thf(f1022,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( z
= ( s @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_2
| spl0_6 ),
inference(trivial_inequality_removal,[],[f1021]) ).
thf(f1023,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_2
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f1022,f28]) ).
thf(f1024,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_2
| spl0_6 ),
inference(constrained_superposition,[],[f31,f1023]) ).
thf(f1033,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_2
| spl0_6 ),
inference(trivial_inequality_removal,[],[f1024]) ).
thf(f1035,definition,
( spl0_62
<=> ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
thf(f1036,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f1035]) ).
thf(f1037,plain,
( spl0_11
| spl0_62
| ~ spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f1033,f120,f53,f1035,f158]) ).
thf(f1045,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_2
| spl0_6 ),
inference(constrained_superposition,[],[f1011,f896]) ).
thf(f1059,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_2
| spl0_6 ),
inference(trivial_inequality_removal,[],[f1045]) ).
thf(f1090,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f680,f36]) ).
thf(f1093,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f1090]) ).
thf(f1096,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_52
| ~ spl0_55 ),
inference(constrained_superposition,[],[f909,f812]) ).
thf(f1099,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f31,f812]) ).
thf(f1100,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_52
| ~ spl0_55 ),
inference(duplicate_literal_removal,[],[f1096]) ).
thf(f1101,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_52
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f1100]) ).
thf(f1103,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f1099]) ).
thf(f1109,definition,
( spl0_65
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
thf(f1110,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f1109]) ).
thf(f1111,plain,
( spl0_44
| spl0_65
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f1103,f811,f1109,f614]) ).
thf(f1115,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_58 ),
inference(constrained_superposition,[],[f31,f960]) ).
thf(f1116,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_58 ),
inference(trivial_inequality_removal,[],[f1115]) ).
thf(f1117,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_7
| ~ spl0_58 ),
inference(constrained_superposition,[],[f1116,f767]) ).
thf(f1127,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_7
| ~ spl0_58 ),
inference(trivial_inequality_removal,[],[f1117]) ).
thf(f1131,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_7
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f1127,f1116]) ).
thf(f1135,plain,
( spl0_56
| ~ spl0_7
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f1131,f959,f126,f950]) ).
thf(f1139,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_52
| ~ spl0_56 ),
inference(constrained_superposition,[],[f951,f812]) ).
thf(f1148,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_52
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f1139]) ).
thf(f1152,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| spl0_25 ),
inference(avatar_component_clause,[],[f251]) ).
thf(f1155,definition,
( spl0_66
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
thf(f1156,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f1155]) ).
thf(f1357,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f31,f689]) ).
thf(f1363,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f1357]) ).
thf(f1369,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_40 ),
inference(avatar_component_clause,[],[f576]) ).
thf(f1374,definition,
( spl0_72
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
thf(f1375,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f1374]) ).
thf(f1376,plain,
( spl0_72
| spl0_44
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1363,f555,f614,f1374]) ).
thf(f1381,plain,
( ( $true != $true )
| ~ spl0_30
| ~ spl0_44 ),
inference(constrained_superposition,[],[f615,f537]) ).
thf(f1382,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_7
| ~ spl0_44 ),
inference(constrained_superposition,[],[f615,f767]) ).
thf(f1383,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_44
| ~ spl0_51 ),
inference(constrained_superposition,[],[f615,f786]) ).
thf(f1389,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_2
| spl0_6
| ~ spl0_44 ),
inference(constrained_superposition,[],[f615,f1023]) ).
thf(f1393,plain,
( $false
| ~ spl0_30
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f1381]) ).
thf(f1394,plain,
( ~ spl0_30
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f1393]) ).
thf(f1396,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_44
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f1383]) ).
thf(f1397,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_7
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f1382]) ).
thf(f1399,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_2
| spl0_6
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f1389]) ).
thf(f1403,plain,
( spl0_40
| ~ spl0_44
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f1396,f785,f614,f576]) ).
thf(f1404,plain,
( $false
| ~ spl0_7
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1397,f615]) ).
thf(f1405,plain,
( ~ spl0_7
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f1404]) ).
thf(f1407,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_2
| spl0_6
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1399,f28]) ).
thf(f1408,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_2
| spl0_6
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1407,f615]) ).
thf(f1409,plain,
( spl0_33
| ~ spl0_2
| spl0_6
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1408,f614,f120,f53,f549]) ).
thf(f1497,definition,
( spl0_74
<=> ! [X0: $i,X1: $i,X3: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( X0 = X3 )
| ( ( r @ ( s @ X3 ) @ z )
= $true )
| ( ( s @ X3 )
= ( s @ z ) )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
thf(f1498,plain,
( ! [X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( s @ X3 )
= ( s @ z ) )
| ( z = X0 )
| ( ( r @ ( s @ X3 ) @ z )
= $true )
| ( X0 = X3 )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f1497]) ).
thf(f1589,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f26,f453]) ).
thf(f1593,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f1589]) ).
thf(f1606,definition,
( spl0_76
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
thf(f1607,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f1606]) ).
thf(f1620,definition,
( spl0_80
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
thf(f1621,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_80 ),
inference(avatar_component_clause,[],[f1620]) ).
thf(f1635,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f1593,f453]) ).
thf(f1641,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(duplicate_literal_removal,[],[f1635]) ).
thf(f1642,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1641]) ).
thf(f1645,definition,
( spl0_83
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
thf(f1646,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f1645]) ).
thf(f1648,definition,
( spl0_84
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
thf(f1649,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f1648]) ).
thf(f1650,plain,
( spl0_83
| spl0_84 ),
inference(avatar_split_clause,[],[f1642,f1648,f1645]) ).
thf(f1652,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f1646,f35]) ).
thf(f1659,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f1652]) ).
thf(f1663,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_40
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f1659,f1369]) ).
thf(f1664,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_40
| ~ spl0_83 ),
inference(constrained_superposition,[],[f1663,f32]) ).
thf(f1671,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_40
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f1664]) ).
thf(f1676,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true ) )
| spl0_40
| ~ spl0_83 ),
inference(constrained_superposition,[],[f1671,f32]) ).
thf(f1679,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| spl0_40
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f1676]) ).
thf(f1680,plain,
( spl0_60
| spl0_40
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1679,f1645,f576,f1014]) ).
thf(f1715,definition,
( spl0_85
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
thf(f1716,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f1715]) ).
thf(f1722,definition,
( spl0_86
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
thf(f1723,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f1722]) ).
thf(f1751,definition,
( spl0_87
<=> ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ z @ X1 )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
thf(f1752,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f1751]) ).
thf(f2033,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_43
| ~ spl0_84 ),
inference(constrained_superposition,[],[f612,f1649]) ).
thf(f2048,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ~ spl0_43
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f2033]) ).
thf(f2057,plain,
( $false
| ~ spl0_19
| ~ spl0_43
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f2048,f230]) ).
thf(f2058,plain,
( ~ spl0_19
| ~ spl0_43
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f2057]) ).
thf(f2062,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f1646,f32]) ).
thf(f2063,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f1646,f35]) ).
thf(f2065,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f1646,f76]) ).
thf(f2066,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f1646,f452]) ).
thf(f2067,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f1646,f75]) ).
thf(f2068,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f2063]) ).
thf(f2069,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f2062]) ).
thf(f2071,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f2067]) ).
thf(f2072,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f2066]) ).
thf(f2073,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( z = X0 ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f2065]) ).
thf(f2074,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_40
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f2068,f1369]) ).
thf(f2080,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_40
| ~ spl0_83 ),
inference(constrained_superposition,[],[f2074,f75]) ).
thf(f2086,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_40
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f2080]) ).
thf(f2266,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_7
| ~ spl0_85 ),
inference(constrained_superposition,[],[f1716,f767]) ).
thf(f2267,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_51
| ~ spl0_85 ),
inference(constrained_superposition,[],[f1716,f786]) ).
thf(f2278,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_7
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f2266]) ).
thf(f2279,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_51
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f2267]) ).
thf(f2286,definition,
( spl0_95
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
thf(f2287,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f2286]) ).
thf(f2288,plain,
( spl0_38
| spl0_95
| ~ spl0_7
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f2278,f1715,f126,f2286,f566]) ).
thf(f2289,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_40
| ~ spl0_51
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[],[f2279,f1369]) ).
thf(f2291,plain,
( spl0_95
| spl0_40
| ~ spl0_51
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f2289,f1715,f785,f576,f2286]) ).
thf(f2423,definition,
( spl0_97
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
thf(f2424,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f2423]) ).
thf(f2806,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f2069,f32]) ).
thf(f2807,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f2069,f35]) ).
thf(f2813,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f2807]) ).
thf(f2817,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f2806]) ).
thf(f2818,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_40
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f2813,f1369]) ).
thf(f2819,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true ) )
| spl0_40
| ~ spl0_83 ),
inference(constrained_superposition,[],[f2818,f35]) ).
thf(f2820,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ z @ X0 )
= $true ) )
| spl0_40
| ~ spl0_83 ),
inference(constrained_superposition,[],[f2818,f32]) ).
thf(f2821,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| spl0_40
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f2819]) ).
thf(f2822,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| spl0_40
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f2820]) ).
thf(f2832,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_40
| ~ spl0_55
| ~ spl0_83 ),
inference(constrained_superposition,[],[f909,f2822]) ).
thf(f2841,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true != $true ) )
| spl0_40
| ~ spl0_55
| ~ spl0_83 ),
inference(duplicate_literal_removal,[],[f2832]) ).
thf(f2842,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| spl0_40
| ~ spl0_55
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f2841]) ).
thf(f2897,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) )
| spl0_40
| ~ spl0_83 ),
inference(constrained_superposition,[],[f31,f2821]) ).
thf(f2906,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) )
| spl0_40
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f2897]) ).
thf(f2921,definition,
( spl0_108
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
thf(f2922,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true ) )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f2921]) ).
thf(f2923,plain,
( spl0_108
| spl0_44
| spl0_40
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f2906,f1645,f576,f614,f2921]) ).
thf(f2972,definition,
( spl0_113
<=> ! [X1: $i] :
( ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
thf(f2973,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 ) )
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f2972]) ).
thf(f3140,definition,
( spl0_114
<=> ! [X0: $i,X1: $i,X3: $i] :
( ( ( r @ X0 @ X3 )
= $true )
| ( z = X3 )
| ( X0 = X3 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( ( r @ z @ X3 )
= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( s @ ( s @ z ) )
= X3 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
thf(f3141,plain,
( ! [X3: $i,X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( z = X0 )
| ( ( r @ X0 @ X3 )
= $true )
| ( z = X3 )
| ( ( r @ z @ X3 )
= $true )
| ( X0 = X3 )
| ( ( s @ ( s @ z ) )
= X3 )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f3140]) ).
thf(f3262,definition,
( spl0_116
<=> ! [X0: $i,X1: $i,X3: $i] :
( ( ( s @ X0 )
= ( s @ X3 ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X3 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
thf(f3263,plain,
( ! [X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X3 ) ) @ z ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( s @ X0 )
= ( s @ X3 ) ) )
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f3262]) ).
thf(f4702,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_51
| ~ spl0_108 ),
inference(constrained_superposition,[],[f2922,f786]) ).
thf(f4721,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_51
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f4702]) ).
thf(f4741,definition,
( spl0_132
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
thf(f4742,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f4741]) ).
thf(f4744,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| spl0_40
| ~ spl0_51
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f4721,f1369]) ).
thf(f4756,plain,
( spl0_132
| spl0_40
| ~ spl0_51
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f4744,f2921,f785,f576,f4741]) ).
thf(f4760,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_51
| ~ spl0_132 ),
inference(constrained_superposition,[],[f4742,f786]) ).
thf(f4766,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_51
| ~ spl0_132 ),
inference(duplicate_literal_removal,[],[f4760]) ).
thf(f4767,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_51
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f4766]) ).
thf(f5379,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f679,f36]) ).
thf(f5381,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( X0 = X1 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f5379]) ).
thf(f5385,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f777,f35]) ).
thf(f5390,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f5385]) ).
thf(f5397,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f2073,f35]) ).
thf(f5401,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f2073,f75]) ).
thf(f5403,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f5401]) ).
thf(f5406,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f5397]) ).
thf(f5910,definition,
( spl0_138
<=> ! [X0: $i,X1: $i,X3: $i] :
( ( ( s @ X3 )
= ( s @ ( s @ X0 ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( z = X3 )
| ( ( r @ ( s @ X3 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
thf(f5911,plain,
( ! [X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( z = X3 )
| ( ( r @ ( s @ X3 ) @ z )
= $true )
| ( ( s @ X3 )
= ( s @ ( s @ X0 ) ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f5910]) ).
thf(f6989,definition,
( spl0_147
<=> ! [X0: $i] :
( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
thf(f6990,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f6989]) ).
thf(f7183,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X1 ) ) ) ) )
| ( X0 = X1 )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true ) )
| ~ spl0_56 ),
inference(constrained_superposition,[],[f951,f450]) ).
thf(f7185,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
!= $true )
| ( X0 = X1 )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f156,f450]) ).
thf(f7239,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X1 ) ) ) ) )
| ( X0 = X1 )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true ) )
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f7183]) ).
thf(f7284,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
!= $true )
| ( X0 = X1 )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f7185]) ).
thf(f7318,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true )
| ( X0 = X1 ) )
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f7284,f230]) ).
thf(f7334,plain,
( ! [X0: $i] :
( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_10
| ~ spl0_19 ),
inference(extensionality_resolution,[],[f7318,f28]) ).
thf(f7377,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_10
| ~ spl0_19
| ~ spl0_47 ),
inference(constrained_superposition,[],[f719,f7334]) ).
thf(f7403,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_10
| ~ spl0_19
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f7377]) ).
thf(f7405,definition,
( spl0_148
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
thf(f7406,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f7405]) ).
thf(f7408,definition,
( spl0_149
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
thf(f7409,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f7408]) ).
thf(f7416,definition,
( spl0_151
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
thf(f7417,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_151 ),
inference(avatar_component_clause,[],[f7416]) ).
thf(f7423,definition,
( spl0_153
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
thf(f7424,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_153 ),
inference(avatar_component_clause,[],[f7423]) ).
thf(f7427,definition,
( spl0_154
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
thf(f7428,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f7427]) ).
thf(f7438,definition,
( spl0_157
<=> ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
thf(f7439,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f7438]) ).
thf(f7440,plain,
( spl0_149
| spl0_157
| ~ spl0_10
| ~ spl0_19
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f7403,f718,f229,f155,f7438,f7408]) ).
thf(f7442,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_151 ),
inference(constrained_superposition,[],[f7417,f32]) ).
thf(f7443,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_151 ),
inference(trivial_inequality_removal,[],[f7442]) ).
thf(f7445,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_153 ),
inference(constrained_superposition,[],[f7424,f74]) ).
thf(f7450,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_153 ),
inference(trivial_inequality_removal,[],[f7445]) ).
thf(f7453,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_10
| ~ spl0_149 ),
inference(constrained_superposition,[],[f156,f7409]) ).
thf(f7509,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_10
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f7453]) ).
thf(f7514,definition,
( spl0_158
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
thf(f7515,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f7514]) ).
thf(f7517,plain,
( $false
| ~ spl0_10
| ~ spl0_19
| ~ spl0_149 ),
inference(forward_subsumption_resolution,[],[f7509,f230]) ).
thf(f7518,plain,
( ~ spl0_10
| ~ spl0_19
| ~ spl0_149 ),
inference(avatar_contradiction_clause,[],[f7517]) ).
thf(f7590,definition,
( spl0_159
<=> ! [X1: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
thf(f7591,plain,
( ! [X1: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f7590]) ).
thf(f7604,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_157 ),
inference(constrained_superposition,[],[f7439,f452]) ).
thf(f7610,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f7604]) ).
thf(f7615,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_10
| ~ spl0_157 ),
inference(constrained_superposition,[],[f156,f7610]) ).
thf(f7643,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) )
| ~ spl0_157 ),
inference(constrained_superposition,[],[f31,f7610]) ).
thf(f7646,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f7643]) ).
thf(f7659,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_10
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f7615]) ).
thf(f7676,definition,
( spl0_160
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
thf(f7677,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f7676]) ).
thf(f7678,plain,
( spl0_44
| spl0_160
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f7646,f7438,f7676,f614]) ).
thf(f7679,plain,
( $false
| ~ spl0_10
| ~ spl0_19
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f7659,f230]) ).
thf(f7680,plain,
( ~ spl0_10
| ~ spl0_19
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f7679]) ).
thf(f7685,plain,
( spl0_47
| ~ spl0_32
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f821,f563,f544,f718]) ).
thf(f7686,plain,
( spl0_47
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f2072,f1645,f718]) ).
thf(f7687,plain,
( ~ spl0_80
| spl0_47
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f848,f533,f718,f1620]) ).
thf(f7693,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_41 ),
inference(avatar_component_clause,[],[f598]) ).
thf(f7727,definition,
( spl0_167
<=> ! [X1: $i] :
( ( z = X1 )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
thf(f7728,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( z = X1 ) )
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f7727]) ).
thf(f7763,definition,
( spl0_171
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
thf(f7764,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f7763]) ).
thf(f7765,plain,
( spl0_41
| spl0_171
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f5403,f1645,f7763,f598]) ).
thf(f7767,definition,
( spl0_172
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
thf(f7768,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f7767]) ).
thf(f7770,definition,
( spl0_173
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
thf(f7771,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f7770]) ).
thf(f7772,plain,
( spl0_172
| spl0_173 ),
inference(avatar_split_clause,[],[f873,f7770,f7767]) ).
thf(f7783,plain,
( ~ spl0_12
| spl0_41
| spl0_40
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f2086,f1645,f576,f598,f200]) ).
thf(f7798,definition,
( spl0_176
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).
thf(f7799,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f7798]) ).
thf(f7807,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) ) )
| spl0_40
| ~ spl0_55
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f2842,f28]) ).
thf(f7856,definition,
( spl0_186
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
thf(f7857,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f7856]) ).
thf(f7858,plain,
( spl0_41
| spl0_186
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f2071,f1645,f7856,f598]) ).
thf(f7871,definition,
( spl0_188
<=> ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
thf(f7872,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f7871]) ).
thf(f7904,plain,
( spl0_176
| ~ spl0_41
| spl0_40
| ~ spl0_55
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f7807,f1645,f908,f576,f598,f7798]) ).
thf(f7999,definition,
( spl0_189
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).
thf(f8000,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f7999]) ).
thf(f8015,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_41
| ~ spl0_62 ),
inference(constrained_superposition,[],[f1036,f599]) ).
thf(f8024,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_41
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f8015]) ).
thf(f8031,plain,
( spl0_188
| ~ spl0_41
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f8024,f1035,f598,f7871]) ).
thf(f8032,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_80 ),
inference(constrained_superposition,[],[f1621,f74]) ).
thf(f8036,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_80 ),
inference(trivial_inequality_removal,[],[f8032]) ).
thf(f8041,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_76
| ~ spl0_189 ),
inference(constrained_superposition,[],[f8000,f1607]) ).
thf(f8061,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_76
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f8041]) ).
thf(f8076,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_51
| ~ spl0_76
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[],[f8061,f786]) ).
thf(f8078,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f338,f32]) ).
thf(f8079,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f338,f35]) ).
thf(f8080,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f338,f37]) ).
thf(f8083,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f8080]) ).
thf(f8084,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f8079]) ).
thf(f8085,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f8078]) ).
thf(f8086,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_25
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f8084,f1152]) ).
thf(f8089,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true ) )
| spl0_25
| ~ spl0_26 ),
inference(constrained_superposition,[],[f8086,f37]) ).
thf(f8092,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 ) )
| spl0_25
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f8089]) ).
thf(f8108,definition,
( spl0_190
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
thf(f8109,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_190 ),
inference(avatar_component_clause,[],[f8108]) ).
thf(f8149,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_190 ),
inference(constrained_superposition,[],[f8109,f75]) ).
thf(f8151,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_190 ),
inference(constrained_superposition,[],[f8109,f32]) ).
thf(f8152,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_190 ),
inference(trivial_inequality_removal,[],[f8149]) ).
thf(f8154,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_190 ),
inference(trivial_inequality_removal,[],[f8151]) ).
thf(f8710,definition,
( spl0_194
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
thf(f8711,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f8710]) ).
thf(f8717,definition,
( spl0_196
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).
thf(f8718,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_196 ),
inference(avatar_component_clause,[],[f8717]) ).
thf(f8720,definition,
( spl0_197
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).
thf(f8721,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f8720]) ).
thf(f8738,plain,
( spl0_41
| spl0_33
| spl0_190 ),
inference(avatar_split_clause,[],[f8154,f8108,f549,f598]) ).
thf(f8762,plain,
( spl0_58
| ~ spl0_41
| ~ spl0_52
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f1101,f908,f811,f598,f959]) ).
thf(f8763,plain,
( spl0_58
| ~ spl0_40
| ~ spl0_52
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f1148,f950,f811,f576,f959]) ).
thf(f8783,definition,
( spl0_209
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).
thf(f8784,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f8783]) ).
thf(f8785,plain,
( spl0_209
| spl0_40
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f5406,f1645,f576,f8783]) ).
thf(f8786,plain,
( spl0_41
| spl0_190 ),
inference(avatar_split_clause,[],[f8152,f8108,f598]) ).
thf(f8792,definition,
( spl0_211
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).
thf(f8793,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f8792]) ).
thf(f8813,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ z @ X1 )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( z = X1 )
| ( X0 = X1 ) )
| ~ spl0_40
| ~ spl0_114 ),
inference(constrained_superposition,[],[f3141,f577]) ).
thf(f8815,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( z = X0 )
| ( $true
= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) ) )
| ~ spl0_4
| ~ spl0_40 ),
inference(constrained_superposition,[],[f104,f577]) ).
thf(f8818,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ z @ X1 )
= $true )
| ( z = X1 )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_40
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f8813]) ).
thf(f8820,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( X0 = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ X1 @ X0 ) )
| ( z = X1 )
| ( z = X0 ) )
| ~ spl0_4
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f8815]) ).
thf(f8857,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f876,f32]) ).
thf(f8865,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f8857]) ).
thf(f8878,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_51
| ~ spl0_65 ),
inference(constrained_superposition,[],[f1110,f786]) ).
thf(f8918,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_51
| ~ spl0_65 ),
inference(duplicate_literal_removal,[],[f8878]) ).
thf(f8919,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_51
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f8918]) ).
thf(f8943,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_30
| ~ spl0_51
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f8919,f537]) ).
thf(f8954,plain,
( spl0_58
| ~ spl0_30
| ~ spl0_51
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f8943,f1109,f785,f536,f959]) ).
thf(f8983,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| spl0_25
| ~ spl0_26 ),
inference(constrained_superposition,[],[f8092,f36]) ).
thf(f8985,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| spl0_25
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f8983]) ).
thf(f9035,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( z = X0 ) )
| spl0_25
| ~ spl0_26 ),
inference(constrained_superposition,[],[f31,f8985]) ).
thf(f9060,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true ) )
| spl0_25
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f9035]) ).
thf(f9096,definition,
( spl0_215
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_215])],[avatar_definition]) ).
thf(f9097,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true ) )
| ~ spl0_215 ),
inference(avatar_component_clause,[],[f9096]) ).
thf(f9098,plain,
( spl0_215
| spl0_11
| spl0_25
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f9060,f337,f251,f158,f9096]) ).
thf(f9836,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X1 )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
= $true ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f8085,f32]) ).
thf(f9837,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f8085,f35]) ).
thf(f9838,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X1 )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f8085,f37]) ).
thf(f9841,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f9837]) ).
thf(f9842,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( ( s @ z )
= X1 ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f9838]) ).
thf(f9843,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X1 )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f9836]) ).
thf(f9844,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| spl0_25
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f9841,f1152]) ).
thf(f9845,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| spl0_25
| ~ spl0_26 ),
inference(constrained_superposition,[],[f9844,f35]) ).
thf(f9847,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| spl0_25
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f9845]) ).
thf(f10017,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true ) )
| spl0_25
| ~ spl0_26 ),
inference(constrained_superposition,[],[f31,f9847]) ).
thf(f10037,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| spl0_25
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f10017]) ).
thf(f10080,definition,
( spl0_218
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).
thf(f10081,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_218 ),
inference(avatar_component_clause,[],[f10080]) ).
thf(f10082,plain,
( spl0_218
| spl0_11
| spl0_25
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f10037,f337,f251,f158,f10080]) ).
thf(f10113,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X1 ) )
| ~ spl0_2
| ~ spl0_215 ),
inference(constrained_superposition,[],[f9097,f1093]) ).
thf(f10125,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_2
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f10113]) ).
thf(f10128,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X0 )
| ( z = X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2
| spl0_6
| ~ spl0_215 ),
inference(forward_subsumption_resolution,[],[f10125,f1011]) ).
thf(f10474,definition,
( spl0_220
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).
thf(f10475,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_220 ),
inference(avatar_component_clause,[],[f10474]) ).
thf(f10917,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ X1 ) ) )
| ( z = X1 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ z ) ) ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f8083,f32]) ).
thf(f10918,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f8083,f35]) ).
thf(f10919,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X1 )
| ( z = X0 ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f8083,f37]) ).
thf(f10921,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( z = X0 )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f10919]) ).
thf(f10922,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f10918]) ).
thf(f10924,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ X1 ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ z ) ) )
| ( z = X1 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f10917]) ).
thf(f10925,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 ) )
| spl0_25
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f10922,f1152]) ).
thf(f10926,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true ) )
| spl0_25
| ~ spl0_26 ),
inference(constrained_superposition,[],[f10925,f35]) ).
thf(f10928,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| spl0_25
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f10926]) ).
thf(f10978,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( z = X0 ) )
| spl0_25
| ~ spl0_26 ),
inference(constrained_superposition,[],[f31,f10928]) ).
thf(f11027,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| spl0_25
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f10978]) ).
thf(f11044,definition,
( spl0_222
<=> ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).
thf(f11045,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( z = X0 ) )
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f11044]) ).
thf(f11046,plain,
( spl0_11
| spl0_222
| spl0_25
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f11027,f337,f251,f11044,f158]) ).
thf(f11567,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f9843,f32]) ).
thf(f11568,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f9843,f35]) ).
thf(f11576,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X1 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f11567]) ).
thf(f11580,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f11568]) ).
thf(f11648,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X0 )
| ( $true != $true )
| ( z = X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2
| spl0_6
| ~ spl0_215 ),
inference(constrained_superposition,[],[f10128,f1093]) ).
thf(f11653,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X0 )
= z )
| ( z
= ( s @ X1 ) ) )
| ~ spl0_2
| spl0_6
| ~ spl0_215 ),
inference(constrained_superposition,[],[f10128,f5381]) ).
thf(f11655,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X0 )
= z )
| ( z
= ( s @ X1 ) )
| ( $true != $true )
| ( X0 = X1 ) )
| ~ spl0_2
| spl0_6
| ~ spl0_215 ),
inference(duplicate_literal_removal,[],[f11653]) ).
thf(f11656,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ X1 ) )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( X0 = X1 )
| ( ( s @ X0 )
= z )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_2
| spl0_6
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f11655]) ).
thf(f11657,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X1 )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_2
| spl0_6
| ~ spl0_215 ),
inference(duplicate_literal_removal,[],[f11648]) ).
thf(f11658,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X1 )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_2
| spl0_6
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f11657]) ).
thf(f11669,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( z
= ( s @ X1 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_2
| spl0_6
| ~ spl0_215 ),
inference(forward_subsumption_resolution,[],[f11656,f28]) ).
thf(f11670,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( X0 = X1 ) )
| ~ spl0_2
| spl0_6
| ~ spl0_215 ),
inference(forward_subsumption_resolution,[],[f11669,f28]) ).
thf(f11703,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X2 ) )
| ( X0 = X3 )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( s @ X3 ) @ z )
= $true )
| ( z = X3 ) )
| ~ spl0_2
| spl0_6
| ~ spl0_215 ),
inference(constrained_superposition,[],[f31,f11658]) ).
thf(f11741,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( z = X3 )
| ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ ( s @ X3 ) @ z )
= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( X0 = X3 ) )
| ~ spl0_2
| spl0_6
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f11703]) ).
thf(f11743,definition,
( spl0_224
<=> ! [X0: $i,X1: $i,X3: $i] :
( ( z = X0 )
| ( X0 = X3 )
| ( ( r @ z @ X1 )
!= $true )
| ( z = X3 )
| ( ( r @ ( s @ X3 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).
thf(f11744,plain,
( ! [X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( X0 = X3 )
| ( ( r @ z @ X1 )
!= $true )
| ( z = X3 )
| ( ( r @ ( s @ X3 ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f11743]) ).
thf(f11745,plain,
( spl0_224
| spl0_3
| ~ spl0_2
| spl0_6
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f11741,f9096,f120,f53,f100,f11743]) ).
thf(f14207,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z
= ( s @ z ) ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f9842,f36]) ).
thf(f14216,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f14207]) ).
thf(f14220,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( s @ X1 )
= X0 )
| ( z = X1 ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f10924,f32]) ).
thf(f14226,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( ( s @ X1 )
= X0 )
| ( z = X1 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f14220]) ).
thf(f14297,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_56 ),
inference(extensionality_resolution,[],[f7239,f28]) ).
thf(f14322,definition,
( spl0_232
<=> ! [X0: $i] :
( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).
thf(f14323,plain,
( ! [X0: $i] :
( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_232 ),
inference(avatar_component_clause,[],[f14322]) ).
thf(f14325,definition,
( spl0_233
<=> ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_233])],[avatar_definition]) ).
thf(f14326,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_233 ),
inference(avatar_component_clause,[],[f14325]) ).
thf(f14327,plain,
( spl0_232
| ~ spl0_233
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f14297,f950,f14325,f14322]) ).
thf(f14355,definition,
( spl0_234
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_234])],[avatar_definition]) ).
thf(f14356,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_234 ),
inference(avatar_component_clause,[],[f14355]) ).
thf(f14360,definition,
( spl0_235
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_235])],[avatar_definition]) ).
thf(f14361,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_235 ),
inference(avatar_component_clause,[],[f14360]) ).
thf(f14463,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f74,f550]) ).
thf(f14745,definition,
( spl0_244
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).
thf(f14746,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| spl0_244 ),
inference(avatar_component_clause,[],[f14745]) ).
thf(f14763,definition,
( spl0_247
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_247])],[avatar_definition]) ).
thf(f14764,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_247 ),
inference(avatar_component_clause,[],[f14763]) ).
thf(f14767,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f14463,f30]) ).
thf(f14801,definition,
( spl0_248
<=> ! [X1: $i] :
( ( z = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_248])],[avatar_definition]) ).
thf(f14802,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X1 ) )
| ~ spl0_248 ),
inference(avatar_component_clause,[],[f14801]) ).
thf(f14823,plain,
( $false
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f14767,f29]) ).
thf(f14824,plain,
~ spl0_33,
inference(avatar_contradiction_clause,[],[f14823]) ).
thf(f14857,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_148
| ~ spl0_232 ),
inference(constrained_superposition,[],[f7406,f14323]) ).
thf(f14862,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_47
| ~ spl0_232 ),
inference(constrained_superposition,[],[f719,f14323]) ).
thf(f14890,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_47
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f14862]) ).
thf(f14896,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true ) )
| ~ spl0_148
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f14857]) ).
thf(f14899,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_233 ),
inference(avatar_component_clause,[],[f14325]) ).
thf(f14905,plain,
( spl0_149
| spl0_157
| ~ spl0_47
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f14890,f14322,f718,f7438,f7408]) ).
thf(f14906,plain,
( spl0_197
| ~ spl0_196
| ~ spl0_148
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f14896,f14322,f7405,f8717,f8720]) ).
thf(f14981,definition,
( spl0_257
<=> ! [X0: $i] :
( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_257])],[avatar_definition]) ).
thf(f14982,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_257 ),
inference(avatar_component_clause,[],[f14981]) ).
thf(f15060,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_234 ),
inference(constrained_superposition,[],[f452,f14356]) ).
thf(f15362,definition,
( spl0_267
<=> ! [X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_267])],[avatar_definition]) ).
thf(f15363,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 ) )
| ~ spl0_267 ),
inference(avatar_component_clause,[],[f15362]) ).
thf(f15378,definition,
( spl0_269
<=> ! [X1: $i] :
( ( ( s @ ( s @ z ) )
= X1 )
| ( ( s @ X1 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).
thf(f15379,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ X1 )
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_269 ),
inference(avatar_component_clause,[],[f15378]) ).
thf(f15391,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_234 ),
inference(forward_subsumption_resolution,[],[f15060,f30]) ).
thf(f15500,plain,
( $false
| ~ spl0_234 ),
inference(forward_subsumption_resolution,[],[f15391,f29]) ).
thf(f15501,plain,
~ spl0_234,
inference(avatar_contradiction_clause,[],[f15500]) ).
thf(f15573,definition,
( spl0_278
<=> ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_278])],[avatar_definition]) ).
thf(f15574,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_278 ),
inference(avatar_component_clause,[],[f15573]) ).
thf(f15608,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_176
| spl0_233 ),
inference(constrained_superposition,[],[f14326,f7799]) ).
thf(f15609,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_176
| spl0_233 ),
inference(trivial_inequality_removal,[],[f15608]) ).
thf(f15610,plain,
( spl0_235
| ~ spl0_176
| spl0_233 ),
inference(avatar_split_clause,[],[f15609,f14325,f7798,f14360]) ).
thf(f15617,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_235 ),
inference(constrained_superposition,[],[f453,f14361]) ).
thf(f15936,definition,
( spl0_286
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_286])],[avatar_definition]) ).
thf(f15937,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_286 ),
inference(avatar_component_clause,[],[f15936]) ).
thf(f15941,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_235 ),
inference(forward_subsumption_resolution,[],[f15617,f29]) ).
thf(f15962,definition,
( spl0_289
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_289])],[avatar_definition]) ).
thf(f15963,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_289 ),
inference(avatar_component_clause,[],[f15962]) ).
thf(f15991,plain,
( $false
| ~ spl0_235 ),
inference(forward_subsumption_resolution,[],[f15941,f30]) ).
thf(f15992,plain,
~ spl0_235,
inference(avatar_contradiction_clause,[],[f15991]) ).
thf(f16007,plain,
( spl0_176
| ~ spl0_51
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f4767,f4741,f785,f7798]) ).
thf(f18296,definition,
( spl0_298
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_298])],[avatar_definition]) ).
thf(f18297,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_298 ),
inference(avatar_component_clause,[],[f18296]) ).
thf(f18299,definition,
( spl0_299
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_299])],[avatar_definition]) ).
thf(f18300,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_299 ),
inference(avatar_component_clause,[],[f18299]) ).
thf(f18303,definition,
( spl0_300
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).
thf(f18304,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_300 ),
inference(avatar_component_clause,[],[f18303]) ).
thf(f18306,definition,
( spl0_301
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_301])],[avatar_definition]) ).
thf(f18307,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_301 ),
inference(avatar_component_clause,[],[f18306]) ).
thf(f18310,definition,
( spl0_302
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_302])],[avatar_definition]) ).
thf(f18311,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_302 ),
inference(avatar_component_clause,[],[f18310]) ).
thf(f18318,definition,
( spl0_304
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_304])],[avatar_definition]) ).
thf(f18319,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) )
| ~ spl0_304 ),
inference(avatar_component_clause,[],[f18318]) ).
thf(f18321,definition,
( spl0_305
<=> ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).
thf(f18322,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ~ spl0_305 ),
inference(avatar_component_clause,[],[f18321]) ).
thf(f18548,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_304 ),
inference(constrained_superposition,[],[f18319,f75]) ).
thf(f18551,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_304 ),
inference(trivial_inequality_removal,[],[f18548]) ).
thf(f18558,definition,
( spl0_306
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_306])],[avatar_definition]) ).
thf(f18559,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_306 ),
inference(avatar_component_clause,[],[f18558]) ).
thf(f18560,plain,
( spl0_194
| spl0_306
| ~ spl0_12
| ~ spl0_304 ),
inference(avatar_split_clause,[],[f18551,f18318,f200,f18558,f8710]) ).
thf(f18776,definition,
( spl0_307
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_307])],[avatar_definition]) ).
thf(f18777,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_307 ),
inference(avatar_component_clause,[],[f18776]) ).
thf(f19116,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_196 ),
inference(constrained_superposition,[],[f8718,f37]) ).
thf(f19117,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_196 ),
inference(constrained_superposition,[],[f8718,f32]) ).
thf(f19119,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_196 ),
inference(trivial_inequality_removal,[],[f19117]) ).
thf(f19121,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_196 ),
inference(trivial_inequality_removal,[],[f19116]) ).
thf(f19123,plain,
( spl0_235
| spl0_149
| spl0_196 ),
inference(avatar_split_clause,[],[f19119,f8717,f7408,f14360]) ).
thf(f19125,plain,
( spl0_33
| spl0_149
| spl0_196 ),
inference(avatar_split_clause,[],[f19121,f8717,f7408,f549]) ).
thf(f19127,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_306 ),
inference(constrained_superposition,[],[f18559,f35]) ).
thf(f19136,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f19127]) ).
thf(f19142,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_233
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f19136,f14326]) ).
thf(f19143,plain,
( ~ spl0_50
| spl0_233
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f19142,f18558,f14325,f782]) ).
thf(f19286,definition,
( spl0_309
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X1 )
| ( ( s @ ( s @ z ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_309])],[avatar_definition]) ).
thf(f19287,plain,
( ! [X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( s @ z )
= X1 ) )
| ~ spl0_309 ),
inference(avatar_component_clause,[],[f19286]) ).
thf(f20482,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ( z = X0 ) )
| ~ spl0_40
| ~ spl0_41
| ~ spl0_114 ),
inference(constrained_superposition,[],[f8818,f599]) ).
thf(f20490,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_40
| ~ spl0_41
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f20482]) ).
thf(f20632,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_194 ),
inference(avatar_component_clause,[],[f8710]) ).
thf(f20653,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 ) )
| ~ spl0_40
| ~ spl0_41
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f20490,f28]) ).
thf(f20701,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_40
| ~ spl0_41
| ~ spl0_114
| spl0_194 ),
inference(constrained_superposition,[],[f20632,f20653]) ).
thf(f20736,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_40
| ~ spl0_41
| ~ spl0_114
| spl0_194 ),
inference(trivial_inequality_removal,[],[f20701]) ).
thf(f20744,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_40
| ~ spl0_41
| ~ spl0_114
| spl0_194
| spl0_233 ),
inference(forward_subsumption_resolution,[],[f20736,f14326]) ).
thf(f20746,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_40
| ~ spl0_41
| ~ spl0_114
| spl0_194
| spl0_233 ),
inference(forward_subsumption_resolution,[],[f20744,f28]) ).
thf(f20747,plain,
( spl0_234
| spl0_235
| ~ spl0_40
| ~ spl0_41
| ~ spl0_114
| spl0_194
| spl0_233 ),
inference(avatar_split_clause,[],[f20746,f14325,f8710,f3140,f598,f576,f14360,f14355]) ).
thf(f20759,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f10921,f453]) ).
thf(f20761,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f20759]) ).
thf(f20863,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_38
| ~ spl0_220 ),
inference(constrained_superposition,[],[f10475,f567]) ).
thf(f20872,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z = X1 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
= ( r @ X1 @ z ) ) )
| ~ spl0_2
| ~ spl0_220 ),
inference(constrained_superposition,[],[f10475,f896]) ).
thf(f20896,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z = X1 )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_2
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f20872]) ).
thf(f20912,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_38
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f20863]) ).
thf(f20919,definition,
( spl0_315
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_315])],[avatar_definition]) ).
thf(f20920,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_315 ),
inference(avatar_component_clause,[],[f20919]) ).
thf(f20921,plain,
( spl0_315
| spl0_113
| ~ spl0_2
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f20896,f10474,f53,f2972,f20919]) ).
thf(f20925,plain,
( spl0_315
| ~ spl0_38
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f20912,f10474,f566,f20919]) ).
thf(f21085,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( z = X1 ) )
| ~ spl0_2
| spl0_6
| ~ spl0_215
| ~ spl0_307 ),
inference(constrained_superposition,[],[f18777,f11670]) ).
thf(f21139,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( z = X0 )
| ( z = X1 )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_2
| spl0_6
| ~ spl0_215
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f21085]) ).
thf(f21150,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X1 )
| ( z = X0 ) )
| ~ spl0_2
| spl0_6
| ~ spl0_17
| ~ spl0_215
| ~ spl0_307 ),
inference(forward_subsumption_resolution,[],[f21139,f220]) ).
thf(f21152,definition,
( spl0_318
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_318])],[avatar_definition]) ).
thf(f21153,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_318 ),
inference(avatar_component_clause,[],[f21152]) ).
thf(f21159,plain,
( spl0_318
| spl0_167
| ~ spl0_2
| spl0_6
| ~ spl0_17
| ~ spl0_215
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f21150,f18776,f9096,f219,f120,f53,f7727,f21152]) ).
thf(f21161,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f8865,f32]) ).
thf(f21172,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f21161]) ).
thf(f21363,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_26
| ~ spl0_189 ),
inference(constrained_superposition,[],[f8000,f14226]) ).
thf(f21427,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_26
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f21363]) ).
thf(f21540,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X1 @ X0 ) )
| ( z = X0 )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ z @ X0 )
= $true )
| ( X0 = X1 ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f21172,f32]) ).
thf(f21541,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( X0 = X1 )
| ( z = X0 )
| ( $true
= ( r @ X1 @ X0 ) )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f21540]) ).
thf(f21681,definition,
( spl0_324
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( X0 = X1 )
| ( z = X0 )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_324])],[avatar_definition]) ).
thf(f21682,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( z = X1 )
| ( z = X0 )
| ( X0 = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ X1 @ X0 ) ) )
| ~ spl0_324 ),
inference(avatar_component_clause,[],[f21681]) ).
thf(f21820,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ z @ X1 )
= $true )
| ( X0 = X1 )
| ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f21541,f32]) ).
thf(f21823,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( z = X0 )
| ( z = X1 ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f21820]) ).
thf(f21824,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( r @ z @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 )
| ( z = X0 )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) )
| ~ spl0_4
| ~ spl0_40
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f21823,f8820]) ).
thf(f21825,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X0 = X3 )
| ( z = X3 )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ z @ X3 )
= $true )
| ( $true
!= ( r @ z @ X2 ) )
| ( ( s @ ( s @ z ) )
= X3 )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X0 @ X3 )
= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_4
| ~ spl0_40
| ~ spl0_54 ),
inference(constrained_superposition,[],[f31,f21824]) ).
thf(f21892,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( X0 = X3 )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ X0 @ X3 )
= $true )
| ( ( r @ z @ X3 )
= $true )
| ( z = X3 )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X3 ) )
| ~ spl0_4
| ~ spl0_40
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f21825]) ).
thf(f21918,plain,
( spl0_3
| spl0_114
| ~ spl0_4
| ~ spl0_40
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f21892,f875,f576,f103,f3140,f100]) ).
thf(f21949,definition,
( spl0_329
<=> ! [X1: $i] :
( ( z = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ X1 )
= ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_329])],[avatar_definition]) ).
thf(f21950,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X1 )
| ( ( s @ X1 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_329 ),
inference(avatar_component_clause,[],[f21949]) ).
thf(f22011,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_2
| spl0_6
| ~ spl0_11 ),
inference(constrained_superposition,[],[f159,f1059]) ).
thf(f22015,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_11
| ~ spl0_17 ),
inference(constrained_superposition,[],[f159,f220]) ).
thf(f22017,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_2
| ~ spl0_11 ),
inference(constrained_superposition,[],[f159,f1093]) ).
thf(f22020,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ~ spl0_11
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f22015]) ).
thf(f22021,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_2
| spl0_6
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f22011]) ).
thf(f22023,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f22017]) ).
thf(f22029,plain,
( spl0_278
| ~ spl0_2
| spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f22021,f158,f120,f53,f15573]) ).
thf(f22031,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2
| spl0_6
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f22023,f1011]) ).
thf(f22034,plain,
( spl0_248
| ~ spl0_2
| spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f22031,f158,f120,f53,f14801]) ).
thf(f22038,definition,
( spl0_336
<=> ! [X1: $i] :
( ( $true
= ( r @ X1 @ z ) )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( z = X1 )
| ( ( s @ z )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_336])],[avatar_definition]) ).
thf(f22039,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( ( s @ z )
= X1 ) )
| ~ spl0_336 ),
inference(avatar_component_clause,[],[f22038]) ).
thf(f22058,plain,
( ( $true != $true )
| ~ spl0_1
| spl0_233 ),
inference(constrained_superposition,[],[f14326,f51]) ).
thf(f22060,plain,
( ( $true != $true )
| ~ spl0_1
| spl0_25 ),
inference(constrained_superposition,[],[f1152,f51]) ).
thf(f22066,plain,
( $false
| ~ spl0_1
| spl0_233 ),
inference(trivial_inequality_removal,[],[f22058]) ).
thf(f22067,plain,
( ~ spl0_1
| spl0_233 ),
inference(avatar_contradiction_clause,[],[f22066]) ).
thf(f22068,plain,
( $false
| ~ spl0_1
| spl0_25 ),
inference(trivial_inequality_removal,[],[f22060]) ).
thf(f22069,plain,
( ~ spl0_1
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f22068]) ).
thf(f22108,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_11
| ~ spl0_17 ),
inference(constrained_superposition,[],[f31,f22020]) ).
thf(f22110,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_11
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f22108]) ).
thf(f22135,definition,
( spl0_339
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_339])],[avatar_definition]) ).
thf(f22136,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_339 ),
inference(avatar_component_clause,[],[f22135]) ).
thf(f22137,plain,
( spl0_339
| spl0_3
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f22110,f219,f158,f100,f22135]) ).
thf(f22157,plain,
( $false
| ~ spl0_11
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f599,f159]) ).
thf(f22158,plain,
( ~ spl0_11
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f22157]) ).
thf(f22163,plain,
( spl0_30
| spl0_80 ),
inference(avatar_split_clause,[],[f8036,f1620,f536]) ).
thf(f22165,definition,
( spl0_341
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_341])],[avatar_definition]) ).
thf(f22166,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_341 ),
inference(avatar_component_clause,[],[f22165]) ).
thf(f22168,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_11
| ~ spl0_173 ),
inference(forward_subsumption_resolution,[],[f7771,f159]) ).
thf(f22169,plain,
( spl0_48
| ~ spl0_11
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f22168,f7770,f158,f733]) ).
thf(f22237,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f31,f734]) ).
thf(f22265,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f22237]) ).
thf(f22287,plain,
( spl0_49
| spl0_44
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f22265,f733,f614,f741]) ).
thf(f22592,definition,
( spl0_343
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_343])],[avatar_definition]) ).
thf(f22593,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_343 ),
inference(avatar_component_clause,[],[f22592]) ).
thf(f23271,definition,
( spl0_346
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_346])],[avatar_definition]) ).
thf(f23272,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_346 ),
inference(avatar_component_clause,[],[f23271]) ).
thf(f23274,definition,
( spl0_347
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_347])],[avatar_definition]) ).
thf(f23275,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_347 ),
inference(avatar_component_clause,[],[f23274]) ).
thf(f23292,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_154
| ~ spl0_189 ),
inference(constrained_superposition,[],[f8000,f7428]) ).
thf(f23330,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_154
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f23292]) ).
thf(f23343,plain,
( $false
| ~ spl0_154
| ~ spl0_189
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[],[f23330,f14899]) ).
thf(f23344,plain,
( ~ spl0_154
| ~ spl0_189
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f23343]) ).
thf(f23366,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_48
| ~ spl0_339 ),
inference(constrained_superposition,[],[f22136,f734]) ).
thf(f23389,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_48
| ~ spl0_339 ),
inference(trivial_inequality_removal,[],[f23366]) ).
thf(f23396,plain,
( $false
| ~ spl0_40
| ~ spl0_48
| ~ spl0_339 ),
inference(forward_subsumption_resolution,[],[f23389,f577]) ).
thf(f23397,plain,
( ~ spl0_40
| ~ spl0_48
| ~ spl0_339 ),
inference(avatar_contradiction_clause,[],[f23396]) ).
thf(f23416,definition,
( spl0_351
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_351])],[avatar_definition]) ).
thf(f23417,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_351 ),
inference(avatar_component_clause,[],[f23416]) ).
thf(f23418,plain,
( spl0_351
| spl0_25
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f9841,f337,f251,f23416]) ).
thf(f23479,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f14216,f28]) ).
thf(f23514,definition,
( spl0_372
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ X1 )
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_372])],[avatar_definition]) ).
thf(f23515,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ X1 )
= ( s @ ( s @ X0 ) ) )
| ( z = X1 ) )
| ~ spl0_372 ),
inference(avatar_component_clause,[],[f23514]) ).
thf(f23597,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_151 ),
inference(forward_subsumption_resolution,[],[f7443,f28]) ).
thf(f23622,definition,
( spl0_394
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_394])],[avatar_definition]) ).
thf(f23623,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_394 ),
inference(avatar_component_clause,[],[f23622]) ).
thf(f23649,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_26
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[],[f21427,f28]) ).
thf(f23656,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f11580,f28]) ).
thf(f23669,definition,
( spl0_402
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X0 )
= X1 )
| ( z = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_402])],[avatar_definition]) ).
thf(f23670,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X1 ) )
| ~ spl0_402 ),
inference(avatar_component_clause,[],[f23669]) ).
thf(f23720,definition,
( spl0_414
<=> ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_414])],[avatar_definition]) ).
thf(f23721,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_414 ),
inference(avatar_component_clause,[],[f23720]) ).
thf(f23761,definition,
( spl0_423
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_423])],[avatar_definition]) ).
thf(f23762,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_423 ),
inference(avatar_component_clause,[],[f23761]) ).
thf(f23763,plain,
( spl0_423
| spl0_25
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f23479,f337,f251,f23761]) ).
thf(f23780,definition,
( spl0_427
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_427])],[avatar_definition]) ).
thf(f23781,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_427 ),
inference(avatar_component_clause,[],[f23780]) ).
thf(f23804,plain,
( spl0_427
| spl0_151 ),
inference(avatar_split_clause,[],[f23597,f7416,f23780]) ).
thf(f23834,plain,
( spl0_309
| ~ spl0_25
| ~ spl0_26
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f23649,f7999,f337,f251,f19286]) ).
thf(f23850,definition,
( spl0_441
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_441])],[avatar_definition]) ).
thf(f23851,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_441 ),
inference(avatar_component_clause,[],[f23850]) ).
thf(f23852,plain,
( spl0_25
| spl0_441
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f23656,f337,f23850,f251]) ).
thf(f23892,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_157 ),
inference(constrained_superposition,[],[f7439,f452]) ).
thf(f23898,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f23892]) ).
thf(f23900,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_186 ),
inference(constrained_superposition,[],[f7857,f32]) ).
thf(f23910,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f23900]) ).
thf(f23953,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_7
| ~ spl0_159 ),
inference(constrained_superposition,[],[f7591,f767]) ).
thf(f23966,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_7
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f23953]) ).
thf(f23977,plain,
( $false
| ~ spl0_7
| ~ spl0_159 ),
inference(forward_subsumption_resolution,[],[f23966,f7591]) ).
thf(f23978,plain,
( ~ spl0_7
| ~ spl0_159 ),
inference(avatar_contradiction_clause,[],[f23977]) ).
thf(f23990,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_394 ),
inference(constrained_superposition,[],[f23623,f37]) ).
thf(f23992,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f23990]) ).
thf(f24000,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_341 ),
inference(constrained_superposition,[],[f22166,f450]) ).
thf(f24001,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_48
| ~ spl0_341 ),
inference(constrained_superposition,[],[f22166,f734]) ).
thf(f24006,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f24000]) ).
thf(f24007,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_48
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f24001]) ).
thf(f24016,plain,
( $false
| ~ spl0_40
| ~ spl0_48
| ~ spl0_341 ),
inference(forward_subsumption_resolution,[],[f24007,f577]) ).
thf(f24017,plain,
( ~ spl0_40
| ~ spl0_48
| ~ spl0_341 ),
inference(avatar_contradiction_clause,[],[f24016]) ).
thf(f24023,plain,
( spl0_300
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f23898,f7438,f18303]) ).
thf(f24041,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f32]) ).
thf(f24042,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f36]) ).
thf(f24043,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( z = X0 )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f24041]) ).
thf(f24044,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f24042]) ).
thf(f24058,definition,
( spl0_449
<=> ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_449])],[avatar_definition]) ).
thf(f24059,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( z = X0 ) )
| ~ spl0_449 ),
inference(avatar_component_clause,[],[f24058]) ).
thf(f24315,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f24044,f32]) ).
thf(f24317,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f24044,f37]) ).
thf(f24323,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f24315]) ).
thf(f24329,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f24317]) ).
thf(f24358,definition,
( spl0_450
<=> ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_450])],[avatar_definition]) ).
thf(f24359,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_450 ),
inference(avatar_component_clause,[],[f24358]) ).
thf(f24368,definition,
( spl0_453
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_453])],[avatar_definition]) ).
thf(f24369,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_453 ),
inference(avatar_component_clause,[],[f24368]) ).
thf(f24375,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| spl0_450 ),
inference(constrained_superposition,[],[f24359,f35]) ).
thf(f24378,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_450 ),
inference(trivial_inequality_removal,[],[f24375]) ).
thf(f24380,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_289 ),
inference(constrained_superposition,[],[f15963,f37]) ).
thf(f24384,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_289 ),
inference(trivial_inequality_removal,[],[f24380]) ).
thf(f24388,plain,
( ( z
= ( s @ ( s @ z ) ) )
| spl0_194
| spl0_289 ),
inference(forward_subsumption_resolution,[],[f24384,f20632]) ).
thf(f24390,plain,
( $false
| spl0_194
| spl0_289 ),
inference(forward_subsumption_resolution,[],[f24388,f28]) ).
thf(f24391,plain,
( spl0_194
| spl0_289 ),
inference(avatar_contradiction_clause,[],[f24390]) ).
thf(f24666,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_158
| ~ spl0_278 ),
inference(constrained_superposition,[],[f7515,f15574]) ).
thf(f24674,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_158
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f24666]) ).
thf(f24676,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_38
| ~ spl0_158
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f24674,f567]) ).
thf(f24677,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_38
| ~ spl0_158
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f24676,f28]) ).
thf(f24678,plain,
( spl0_234
| ~ spl0_38
| ~ spl0_158
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f24677,f15573,f7514,f566,f14355]) ).
thf(f24698,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_7
| ~ spl0_72 ),
inference(constrained_superposition,[],[f1375,f767]) ).
thf(f24710,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_7
| ~ spl0_72 ),
inference(duplicate_literal_removal,[],[f24698]) ).
thf(f24711,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f24710]) ).
thf(f24806,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_232 ),
inference(constrained_superposition,[],[f24044,f14323]) ).
thf(f24824,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f24806]) ).
thf(f24844,definition,
( spl0_457
<=> ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_457])],[avatar_definition]) ).
thf(f24845,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true )
| ~ spl0_457 ),
inference(avatar_component_clause,[],[f24844]) ).
thf(f24846,plain,
( spl0_427
| spl0_457
| ~ spl0_2
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f24824,f14322,f53,f24844,f23780]) ).
thf(f24849,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_457 ),
inference(constrained_superposition,[],[f24845,f36]) ).
thf(f24851,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ~ spl0_457 ),
inference(trivial_inequality_removal,[],[f24849]) ).
thf(f24854,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_160
| ~ spl0_457 ),
inference(constrained_superposition,[],[f7677,f24851]) ).
thf(f24858,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X2 ) ) )
| ~ spl0_457 ),
inference(constrained_superposition,[],[f31,f24851]) ).
thf(f24862,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_160
| ~ spl0_457 ),
inference(trivial_inequality_removal,[],[f24854]) ).
thf(f24863,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_457 ),
inference(trivial_inequality_removal,[],[f24858]) ).
thf(f24865,plain,
( $false
| ~ spl0_38
| ~ spl0_160
| ~ spl0_457 ),
inference(forward_subsumption_resolution,[],[f24862,f567]) ).
thf(f24866,plain,
( ~ spl0_38
| ~ spl0_160
| ~ spl0_457 ),
inference(avatar_contradiction_clause,[],[f24865]) ).
thf(f24868,definition,
( spl0_458
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_458])],[avatar_definition]) ).
thf(f24869,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_458 ),
inference(avatar_component_clause,[],[f24868]) ).
thf(f24870,plain,
( spl0_458
| spl0_3
| ~ spl0_457 ),
inference(avatar_split_clause,[],[f24863,f24844,f100,f24868]) ).
thf(f24872,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_158
| ~ spl0_427 ),
inference(constrained_superposition,[],[f7515,f23781]) ).
thf(f24880,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_158
| ~ spl0_427 ),
inference(trivial_inequality_removal,[],[f24872]) ).
thf(f24884,plain,
( $false
| ~ spl0_38
| ~ spl0_158
| ~ spl0_427 ),
inference(forward_subsumption_resolution,[],[f24880,f567]) ).
thf(f24885,plain,
( ~ spl0_38
| ~ spl0_158
| ~ spl0_427 ),
inference(avatar_contradiction_clause,[],[f24884]) ).
thf(f25015,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f8721,f75]) ).
thf(f25022,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f25015]) ).
thf(f25024,plain,
( spl0_298
| ~ spl0_289
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f25022,f8720,f15962,f18296]) ).
thf(f25046,definition,
( spl0_461
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_461])],[avatar_definition]) ).
thf(f25047,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_461 ),
inference(avatar_component_clause,[],[f25046]) ).
thf(f25048,plain,
( spl0_11
| spl0_461
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f929,f126,f25046,f158]) ).
thf(f25050,definition,
( spl0_462
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_462])],[avatar_definition]) ).
thf(f25051,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_462 ),
inference(avatar_component_clause,[],[f25050]) ).
thf(f25054,definition,
( spl0_463
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_463])],[avatar_definition]) ).
thf(f25055,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_463 ),
inference(avatar_component_clause,[],[f25054]) ).
thf(f25065,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true )
| ( X0 = X1 )
| ( $true != $true ) )
| ~ spl0_463 ),
inference(constrained_superposition,[],[f25055,f450]) ).
thf(f25072,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true )
| ( X0 = X1 ) )
| ~ spl0_463 ),
inference(trivial_inequality_removal,[],[f25065]) ).
thf(f25175,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_299 ),
inference(constrained_superposition,[],[f18300,f453]) ).
thf(f25182,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f25175]) ).
thf(f25183,plain,
( spl0_343
| spl0_154
| ~ spl0_80
| ~ spl0_299 ),
inference(avatar_split_clause,[],[f25182,f18299,f1620,f7427,f22592]) ).
thf(f26175,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_351 ),
inference(constrained_superposition,[],[f23417,f32]) ).
thf(f26176,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 ) )
| ~ spl0_351 ),
inference(trivial_inequality_removal,[],[f26175]) ).
thf(f26228,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_72
| ~ spl0_336 ),
inference(constrained_superposition,[],[f1375,f22039]) ).
thf(f26241,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_72
| ~ spl0_336 ),
inference(duplicate_literal_removal,[],[f26228]) ).
thf(f26242,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_72
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f26241]) ).
thf(f26251,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_394 ),
inference(constrained_superposition,[],[f23992,f36]) ).
thf(f26253,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f26251]) ).
thf(f26255,plain,
( spl0_423
| ~ spl0_394 ),
inference(avatar_split_clause,[],[f26253,f23622,f23761]) ).
thf(f26293,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_72
| ~ spl0_423 ),
inference(constrained_superposition,[],[f1375,f23762]) ).
thf(f26303,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_72
| ~ spl0_423 ),
inference(duplicate_literal_removal,[],[f26293]) ).
thf(f26304,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_72
| ~ spl0_423 ),
inference(trivial_inequality_removal,[],[f26303]) ).
thf(f26344,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ z ) )
| ( X0 = X1 )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( z = X1 ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f24043,f32]) ).
thf(f26352,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( z = X1 )
| ( X0 = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f26344]) ).
thf(f26371,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f31,f1156]) ).
thf(f26375,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X2 ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f26371]) ).
thf(f26382,definition,
( spl0_468
<=> ! [X0: $i,X1: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_468])],[avatar_definition]) ).
thf(f26383,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_468 ),
inference(avatar_component_clause,[],[f26382]) ).
thf(f26384,plain,
( spl0_3
| spl0_468
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f26375,f1155,f26382,f100]) ).
thf(f27073,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X1 )
| ( $true != $true )
| ( $true
= ( r @ X1 @ z ) )
| ( ( s @ X0 )
= X1 ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f26352,f36]) ).
thf(f27075,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( z = X1 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f27073]) ).
thf(f27082,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ X1 ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_17
| ~ spl0_215 ),
inference(constrained_superposition,[],[f9097,f220]) ).
thf(f27095,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X1 ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X1 ) )
| ~ spl0_17
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f27082]) ).
thf(f27271,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_186 ),
inference(constrained_superposition,[],[f23910,f32]) ).
thf(f27275,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f27271]) ).
thf(f27279,plain,
( spl0_309
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f27275,f7856,f19286]) ).
thf(f28963,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f24323,f32]) ).
thf(f28964,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ X0 )
= ( s @ X1 ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f24323,f36]) ).
thf(f28965,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ X1 )
= X0 )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f28963]) ).
thf(f28966,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f28964]) ).
thf(f28970,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_194
| ~ spl0_222 ),
inference(constrained_superposition,[],[f11045,f8711]) ).
thf(f28976,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z = X0 )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_194
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f28970]) ).
thf(f28990,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_194
| ~ spl0_222 ),
inference(constrained_superposition,[],[f28976,f450]) ).
thf(f28992,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( z = X0 )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_194
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f28990]) ).
thf(f28993,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_194
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f28992,f28]) ).
thf(f29269,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_72
| ~ spl0_423 ),
inference(forward_subsumption_resolution,[],[f26304,f28]) ).
thf(f29270,plain,
( ~ spl0_30
| spl0_57
| ~ spl0_7
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f24711,f1374,f126,f955,f536]) ).
thf(f29292,plain,
( spl0_97
| ~ spl0_51
| ~ spl0_76
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f8076,f7999,f1606,f785,f2423]) ).
thf(f29300,definition,
( spl0_481
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_481])],[avatar_definition]) ).
thf(f29301,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_481 ),
inference(avatar_component_clause,[],[f29300]) ).
thf(f29348,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_72
| ~ spl0_336 ),
inference(forward_subsumption_resolution,[],[f26242,f28]) ).
thf(f29350,plain,
( spl0_481
| spl0_153 ),
inference(avatar_split_clause,[],[f7450,f7423,f29300]) ).
thf(f29351,plain,
( ~ spl0_30
| spl0_57
| ~ spl0_72
| ~ spl0_423 ),
inference(avatar_split_clause,[],[f29269,f23761,f1374,f955,f536]) ).
thf(f29401,plain,
( ~ spl0_30
| spl0_66
| ~ spl0_72
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f29348,f22038,f1374,f1155,f536]) ).
thf(f29796,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_309 ),
inference(constrained_superposition,[],[f31,f19287]) ).
thf(f29797,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_309
| ~ spl0_341 ),
inference(constrained_superposition,[],[f22166,f19287]) ).
thf(f29813,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f29796]) ).
thf(f29816,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_309
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f29797]) ).
thf(f29818,plain,
( spl0_220
| spl0_44
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f29813,f19286,f614,f10474]) ).
thf(f29836,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ X0 ) ) )
= X1 )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_224
| ~ spl0_300 ),
inference(constrained_superposition,[],[f11744,f18304]) ).
thf(f29877,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= X1 )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_224
| ~ spl0_300 ),
inference(trivial_inequality_removal,[],[f29836]) ).
thf(f29883,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ X0 ) ) )
= X1 )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_40
| ~ spl0_224
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f29877,f577]) ).
thf(f29887,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X1 )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= X1 ) )
| ~ spl0_40
| ~ spl0_224
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f29883,f28]) ).
thf(f30881,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X2 ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ X3 ) ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true ) )
| ~ spl0_40
| ~ spl0_224
| ~ spl0_300 ),
inference(constrained_superposition,[],[f31,f29887]) ).
thf(f30892,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( s @ ( s @ ( s @ X3 ) ) )
= X0 )
| ( $true
!= ( r @ z @ X2 ) )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true ) )
| ~ spl0_40
| ~ spl0_224
| ~ spl0_300 ),
inference(trivial_inequality_removal,[],[f30881]) ).
thf(f30900,definition,
( spl0_540
<=> ! [X0: $i,X1: $i,X3: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( s @ ( s @ ( s @ X3 ) ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_540])],[avatar_definition]) ).
thf(f30901,plain,
( ! [X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( z = X0 )
| ( ( r @ z @ X1 )
!= $true )
| ( ( s @ ( s @ ( s @ X3 ) ) )
= X0 ) )
| ~ spl0_540 ),
inference(avatar_component_clause,[],[f30900]) ).
thf(f30902,plain,
( spl0_3
| spl0_540
| ~ spl0_40
| ~ spl0_224
| ~ spl0_300 ),
inference(avatar_split_clause,[],[f30892,f18303,f11743,f576,f30900,f100]) ).
thf(f31841,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_2
| spl0_6 ),
inference(constrained_superposition,[],[f1011,f27075]) ).
thf(f31853,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_2
| ~ spl0_43 ),
inference(constrained_superposition,[],[f612,f27075]) ).
thf(f31875,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_2
| spl0_6 ),
inference(trivial_inequality_removal,[],[f31841]) ).
thf(f31885,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_2
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f31853]) ).
thf(f31895,definition,
( spl0_550
<=> ! [X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
= $true )
| ( ( s @ z )
= X1 )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_550])],[avatar_definition]) ).
thf(f31896,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
= $true )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 ) )
| ~ spl0_550 ),
inference(avatar_component_clause,[],[f31895]) ).
thf(f31898,plain,
( spl0_550
| ~ spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f31875,f120,f53,f31895]) ).
thf(f31916,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( r @ ( s @ X1 ) @ X0 )
!= $true )
| ( z = X1 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_215
| ~ spl0_550 ),
inference(constrained_superposition,[],[f9097,f31896]) ).
thf(f31919,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ X1 )
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ ( s @ X1 ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ X1 ) )
= $true ) )
| ~ spl0_218
| ~ spl0_550 ),
inference(constrained_superposition,[],[f10081,f31896]) ).
thf(f31936,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_215
| ~ spl0_550 ),
inference(trivial_inequality_removal,[],[f31916]) ).
thf(f31938,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ X1 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X1 ) )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_218
| ~ spl0_550 ),
inference(trivial_inequality_removal,[],[f31919]) ).
thf(f31941,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_2
| spl0_6 ),
inference(constrained_superposition,[],[f1011,f28965]) ).
thf(f31979,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_2
| spl0_6 ),
inference(trivial_inequality_removal,[],[f31941]) ).
thf(f31994,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_171 ),
inference(constrained_superposition,[],[f7764,f75]) ).
thf(f31997,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f31994]) ).
thf(f32127,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f24329,f36]) ).
thf(f32129,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f32127]) ).
thf(f32134,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_2 ),
inference(extensionality_resolution,[],[f32129,f28]) ).
thf(f32135,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(extensionality_resolution,[],[f32129,f28]) ).
thf(f32137,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z = X1 ) )
| ~ spl0_2
| ~ spl0_62 ),
inference(constrained_superposition,[],[f1036,f32129]) ).
thf(f32154,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ X0 )
= X1 )
| ( ( r @ ( s @ z ) @ ( s @ X1 ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_2
| ~ spl0_461 ),
inference(constrained_superposition,[],[f25047,f32129]) ).
thf(f32213,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ X1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X0 )
= X1 ) )
| ~ spl0_2
| ~ spl0_461 ),
inference(duplicate_literal_removal,[],[f32154]) ).
thf(f32214,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X1 ) )
!= $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X0 )
= X1 ) )
| ~ spl0_2
| ~ spl0_461 ),
inference(trivial_inequality_removal,[],[f32213]) ).
thf(f32215,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f32137]) ).
thf(f32243,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2
| spl0_6
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[],[f32215,f1011]) ).
thf(f33736,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2
| spl0_6
| ~ spl0_62 ),
inference(constrained_superposition,[],[f32243,f32129]) ).
thf(f33753,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ X0 )
= z )
| ( X0 = X1 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( z = X1 ) )
| ~ spl0_2
| spl0_6
| ~ spl0_62 ),
inference(duplicate_literal_removal,[],[f33736]) ).
thf(f33754,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= z )
| ( ( s @ X0 )
= ( s @ z ) )
| ( X0 = X1 )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_2
| spl0_6
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f33753]) ).
thf(f33756,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( z = X1 ) )
| ~ spl0_2
| spl0_6
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[],[f33754,f28]) ).
thf(f33771,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X3 ) @ z )
= $true )
| ( z = X0 )
| ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( X0 = X3 )
| ( $true != $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( s @ X3 )
= ( s @ z ) ) )
| ~ spl0_2
| spl0_6
| ~ spl0_62 ),
inference(constrained_superposition,[],[f31,f33756]) ).
thf(f33785,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X2 ) )
| ( ( s @ X3 )
= ( s @ z ) )
| ( X0 = X3 )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ X3 ) @ z )
= $true ) )
| ~ spl0_2
| spl0_6
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f33771]) ).
thf(f33793,plain,
( spl0_3
| spl0_74
| ~ spl0_2
| spl0_6
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f33785,f1035,f120,f53,f1497,f100]) ).
thf(f38906,definition,
( spl0_674
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_674])],[avatar_definition]) ).
thf(f38907,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_674 ),
inference(avatar_component_clause,[],[f38906]) ).
thf(f38927,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_315
| ~ spl0_674 ),
inference(constrained_superposition,[],[f20920,f38907]) ).
thf(f38935,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_315
| ~ spl0_674 ),
inference(trivial_inequality_removal,[],[f38927]) ).
thf(f38944,definition,
( spl0_676
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_676])],[avatar_definition]) ).
thf(f38945,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_676 ),
inference(avatar_component_clause,[],[f38944]) ).
thf(f38947,definition,
( spl0_677
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_677])],[avatar_definition]) ).
thf(f38948,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_677 ),
inference(avatar_component_clause,[],[f38947]) ).
thf(f38950,definition,
( spl0_678
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_678])],[avatar_definition]) ).
thf(f38951,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_678 ),
inference(avatar_component_clause,[],[f38950]) ).
thf(f38955,definition,
( spl0_679
<=> ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_679])],[avatar_definition]) ).
thf(f38956,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_679 ),
inference(avatar_component_clause,[],[f38955]) ).
thf(f38971,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_676 ),
inference(constrained_superposition,[],[f31,f38945]) ).
thf(f38981,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_676 ),
inference(trivial_inequality_removal,[],[f38971]) ).
thf(f39039,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_309
| ~ spl0_679 ),
inference(constrained_superposition,[],[f38956,f19287]) ).
thf(f39098,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_309
| ~ spl0_679 ),
inference(trivial_inequality_removal,[],[f39039]) ).
thf(f39807,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true ) )
| ~ spl0_2
| ~ spl0_17
| ~ spl0_461 ),
inference(constrained_superposition,[],[f32214,f220]) ).
thf(f39826,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true ) )
| ~ spl0_2
| ~ spl0_461 ),
inference(constrained_superposition,[],[f32214,f32129]) ).
thf(f39832,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( s @ X1 )
= X0 )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_461 ),
inference(duplicate_literal_removal,[],[f39826]) ).
thf(f39833,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( s @ X1 )
= X0 )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2
| ~ spl0_461 ),
inference(trivial_inequality_removal,[],[f39832]) ).
thf(f39853,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true ) )
| ~ spl0_2
| ~ spl0_17
| ~ spl0_461 ),
inference(duplicate_literal_removal,[],[f39807]) ).
thf(f39854,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_2
| ~ spl0_17
| ~ spl0_461 ),
inference(trivial_inequality_removal,[],[f39853]) ).
thf(f39856,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( s @ X1 )
= X0 )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2
| spl0_6
| ~ spl0_461 ),
inference(forward_subsumption_resolution,[],[f39833,f1011]) ).
thf(f39857,plain,
( spl0_414
| ~ spl0_2
| ~ spl0_17
| ~ spl0_461 ),
inference(avatar_split_clause,[],[f39854,f25046,f219,f53,f23720]) ).
thf(f39858,plain,
( spl0_402
| ~ spl0_2
| spl0_6
| ~ spl0_461 ),
inference(avatar_split_clause,[],[f39856,f25046,f120,f53,f23669]) ).
thf(f39913,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X3 ) ) @ z ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ X3 ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_414 ),
inference(constrained_superposition,[],[f31,f23721]) ).
thf(f39931,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X3 ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ X3 ) )
| ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f39913]) ).
thf(f39934,plain,
( spl0_116
| spl0_3
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f39931,f23720,f100,f3262]) ).
thf(f40159,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ X1 ) ) ) )
| ~ spl0_2
| ~ spl0_17
| ~ spl0_215 ),
inference(constrained_superposition,[],[f27095,f28966]) ).
thf(f40175,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ X1 ) ) ) )
| ~ spl0_2
| ~ spl0_17
| ~ spl0_215 ),
inference(duplicate_literal_removal,[],[f40159]) ).
thf(f40176,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ X1 ) ) )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2
| ~ spl0_17
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f40175]) ).
thf(f40193,plain,
( spl0_372
| ~ spl0_2
| ~ spl0_17
| ~ spl0_215 ),
inference(avatar_split_clause,[],[f40176,f9096,f219,f53,f23514]) ).
thf(f40212,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X2 ) )
| ( ( s @ X3 )
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( z = X3 )
| ( ( r @ ( s @ X3 ) @ z )
= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_372 ),
inference(constrained_superposition,[],[f31,f23515]) ).
thf(f40227,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( z = X3 )
| ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ ( s @ X3 ) @ z )
= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( s @ X3 )
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_372 ),
inference(trivial_inequality_removal,[],[f40212]) ).
thf(f40234,plain,
( spl0_3
| spl0_138
| ~ spl0_372 ),
inference(avatar_split_clause,[],[f40227,f23514,f5910,f100]) ).
thf(f42760,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_463 ),
inference(extensionality_resolution,[],[f25072,f28]) ).
thf(f42833,plain,
( ! [X0: $i] :
( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_194
| ~ spl0_463 ),
inference(forward_subsumption_resolution,[],[f42760,f8711]) ).
thf(f42836,plain,
( spl0_232
| ~ spl0_194
| ~ spl0_463 ),
inference(avatar_split_clause,[],[f42833,f25054,f8710,f14322]) ).
thf(f42847,definition,
( spl0_685
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_685])],[avatar_definition]) ).
thf(f42848,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_685 ),
inference(avatar_component_clause,[],[f42847]) ).
thf(f42849,plain,
( spl0_678
| spl0_677
| spl0_685
| ~ spl0_315
| ~ spl0_674 ),
inference(avatar_split_clause,[],[f38935,f38906,f20919,f42847,f38947,f38950]) ).
thf(f42856,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_40
| ~ spl0_309
| ~ spl0_341 ),
inference(forward_subsumption_resolution,[],[f29816,f577]) ).
thf(f42866,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_40
| ~ spl0_309
| ~ spl0_679 ),
inference(forward_subsumption_resolution,[],[f39098,f577]) ).
thf(f42867,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f20761,f28]) ).
thf(f42871,definition,
( spl0_687
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_687])],[avatar_definition]) ).
thf(f42872,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_687 ),
inference(avatar_component_clause,[],[f42871]) ).
thf(f42874,definition,
( spl0_688
<=> ! [X1: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_688])],[avatar_definition]) ).
thf(f42875,plain,
( ! [X1: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ~ spl0_688 ),
inference(avatar_component_clause,[],[f42874]) ).
thf(f42876,plain,
( spl0_687
| spl0_688
| ~ spl0_676 ),
inference(avatar_split_clause,[],[f38981,f38944,f42874,f42871]) ).
thf(f42897,plain,
( spl0_234
| spl0_481
| spl0_235
| ~ spl0_40
| ~ spl0_309
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f42856,f22165,f19286,f576,f14360,f29300,f14355]) ).
thf(f42901,plain,
( spl0_678
| spl0_685
| spl0_677
| ~ spl0_40
| ~ spl0_309
| ~ spl0_679 ),
inference(avatar_split_clause,[],[f42866,f38955,f19286,f576,f38947,f42847,f38950]) ).
thf(f42902,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f42867,f28]) ).
thf(f42917,plain,
( spl0_76
| spl0_30
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f42902,f337,f536,f1606]) ).
thf(f43004,plain,
( ( $true != $true )
| ~ spl0_674
| ~ spl0_688 ),
inference(constrained_superposition,[],[f42875,f38907]) ).
thf(f43047,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_441
| ~ spl0_688 ),
inference(constrained_superposition,[],[f42875,f23851]) ).
thf(f43069,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_309
| ~ spl0_688 ),
inference(constrained_superposition,[],[f42875,f19287]) ).
thf(f43072,plain,
( $false
| ~ spl0_674
| ~ spl0_688 ),
inference(trivial_inequality_removal,[],[f43004]) ).
thf(f43073,plain,
( ~ spl0_674
| ~ spl0_688 ),
inference(avatar_contradiction_clause,[],[f43072]) ).
thf(f43084,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_441
| ~ spl0_688 ),
inference(trivial_inequality_removal,[],[f43047]) ).
thf(f43127,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_309
| ~ spl0_688 ),
inference(trivial_inequality_removal,[],[f43069]) ).
thf(f43151,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_286 ),
inference(avatar_component_clause,[],[f15936]) ).
thf(f43152,plain,
( spl0_678
| spl0_286
| ~ spl0_441
| ~ spl0_688 ),
inference(avatar_split_clause,[],[f43084,f42874,f23850,f15936,f38950]) ).
thf(f43173,definition,
( spl0_692
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_692])],[avatar_definition]) ).
thf(f43174,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_692 ),
inference(avatar_component_clause,[],[f43173]) ).
thf(f43187,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_309
| ~ spl0_688 ),
inference(forward_subsumption_resolution,[],[f43127,f42875]) ).
thf(f43195,definition,
( spl0_694
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_694])],[avatar_definition]) ).
thf(f43196,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_694 ),
inference(avatar_component_clause,[],[f43195]) ).
thf(f43205,definition,
( spl0_695
<=> ! [X0: $i] :
( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_695])],[avatar_definition]) ).
thf(f43206,plain,
( ! [X0: $i] :
( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_695 ),
inference(avatar_component_clause,[],[f43205]) ).
thf(f43227,plain,
( spl0_677
| spl0_678
| ~ spl0_309
| ~ spl0_688 ),
inference(avatar_split_clause,[],[f43187,f42874,f19286,f38950,f38947]) ).
thf(f43234,definition,
( spl0_697
<=> ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_697])],[avatar_definition]) ).
thf(f43235,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_697 ),
inference(avatar_component_clause,[],[f43234]) ).
thf(f45642,definition,
( spl0_706
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_706])],[avatar_definition]) ).
thf(f45643,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_706 ),
inference(avatar_component_clause,[],[f45642]) ).
thf(f45658,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_149
| ~ spl0_341 ),
inference(constrained_superposition,[],[f22166,f7409]) ).
thf(f45690,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_74
| ~ spl0_149 ),
inference(constrained_superposition,[],[f1498,f7409]) ).
thf(f45751,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_149
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f45658]) ).
thf(f45780,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_74
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f45690]) ).
thf(f45791,plain,
( $false
| ~ spl0_40
| ~ spl0_149
| ~ spl0_341 ),
inference(forward_subsumption_resolution,[],[f45751,f577]) ).
thf(f45792,plain,
( ~ spl0_40
| ~ spl0_149
| ~ spl0_341 ),
inference(avatar_contradiction_clause,[],[f45791]) ).
thf(f45794,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_74
| ~ spl0_149 ),
inference(forward_subsumption_resolution,[],[f45780,f28]) ).
thf(f45801,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_40
| ~ spl0_74
| ~ spl0_149 ),
inference(forward_subsumption_resolution,[],[f45794,f577]) ).
thf(f45803,plain,
( spl0_269
| ~ spl0_40
| ~ spl0_74
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f45801,f7408,f1497,f576,f15378]) ).
thf(f47143,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( ( s @ X0 )
= z )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_95
| ~ spl0_423 ),
inference(constrained_superposition,[],[f2287,f23762]) ).
thf(f47150,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( s @ X0 )
= z ) )
| ~ spl0_2
| ~ spl0_95 ),
inference(constrained_superposition,[],[f2287,f32129]) ).
thf(f47163,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true ) )
| ~ spl0_95
| ~ spl0_336 ),
inference(constrained_superposition,[],[f2287,f22039]) ).
thf(f47171,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= z )
| ( z = X0 ) )
| ~ spl0_95
| ~ spl0_423 ),
inference(duplicate_literal_removal,[],[f47143]) ).
thf(f47172,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= z )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_95
| ~ spl0_423 ),
inference(trivial_inequality_removal,[],[f47171]) ).
thf(f47199,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_95
| ~ spl0_336 ),
inference(duplicate_literal_removal,[],[f47163]) ).
thf(f47200,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_95
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f47199]) ).
thf(f47201,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( s @ X0 )
= z )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2
| ~ spl0_95 ),
inference(duplicate_literal_removal,[],[f47150]) ).
thf(f47202,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= z ) )
| ~ spl0_2
| ~ spl0_95 ),
inference(trivial_inequality_removal,[],[f47201]) ).
thf(f47206,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_95
| ~ spl0_423 ),
inference(forward_subsumption_resolution,[],[f47172,f28]) ).
thf(f47217,plain,
( spl0_86
| ~ spl0_95
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f47200,f22038,f2286,f1722]) ).
thf(f47218,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= z )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2
| spl0_6
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[],[f47202,f1011]) ).
thf(f47219,plain,
( spl0_329
| ~ spl0_95
| ~ spl0_423 ),
inference(avatar_split_clause,[],[f47206,f23761,f2286,f21949]) ).
thf(f47226,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| spl0_6
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[],[f47218,f28]) ).
thf(f47230,plain,
( spl0_329
| ~ spl0_2
| spl0_6
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f47226,f2286,f120,f53,f21949]) ).
thf(f47712,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_40
| ~ spl0_87 ),
inference(constrained_superposition,[],[f1752,f577]) ).
thf(f47718,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_40
| ~ spl0_87 ),
inference(trivial_inequality_removal,[],[f47712]) ).
thf(f49545,definition,
( spl0_743
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_743])],[avatar_definition]) ).
thf(f49546,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_743 ),
inference(avatar_component_clause,[],[f49545]) ).
thf(f49558,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_149 ),
inference(avatar_component_clause,[],[f7408]) ).
thf(f49561,definition,
( spl0_746
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_746])],[avatar_definition]) ).
thf(f49562,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_746 ),
inference(avatar_component_clause,[],[f49561]) ).
thf(f49632,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_2
| spl0_149 ),
inference(constrained_superposition,[],[f49558,f28966]) ).
thf(f49637,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| spl0_149 ),
inference(trivial_inequality_removal,[],[f49632]) ).
thf(f49860,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_171 ),
inference(constrained_superposition,[],[f31,f31997]) ).
thf(f49867,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f49860]) ).
thf(f49935,plain,
( spl0_44
| spl0_307
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f49867,f7763,f18776,f614]) ).
thf(f50097,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2
| ~ spl0_706 ),
inference(constrained_superposition,[],[f45643,f32129]) ).
thf(f50114,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_706 ),
inference(duplicate_literal_removal,[],[f50097]) ).
thf(f50115,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_706 ),
inference(trivial_inequality_removal,[],[f50114]) ).
thf(f50124,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2
| spl0_6
| ~ spl0_706 ),
inference(forward_subsumption_resolution,[],[f50115,f1011]) ).
thf(f50651,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_2
| spl0_6
| ~ spl0_167
| ~ spl0_706 ),
inference(constrained_superposition,[],[f7728,f50124]) ).
thf(f50996,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2
| spl0_6
| ~ spl0_167
| ~ spl0_706 ),
inference(duplicate_literal_removal,[],[f50651]) ).
thf(f51173,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2
| spl0_6
| ~ spl0_167
| ~ spl0_706 ),
inference(forward_subsumption_resolution,[],[f50996,f28]) ).
thf(f51253,definition,
( spl0_774
<=> ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_774])],[avatar_definition]) ).
thf(f51254,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_774 ),
inference(avatar_component_clause,[],[f51253]) ).
thf(f51256,plain,
( spl0_248
| ~ spl0_2
| spl0_6
| ~ spl0_167
| ~ spl0_706 ),
inference(avatar_split_clause,[],[f51173,f45642,f7727,f120,f53,f14801]) ).
thf(f52157,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_47
| ~ spl0_194
| ~ spl0_222 ),
inference(constrained_superposition,[],[f719,f28993]) ).
thf(f52186,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( z = X0 ) )
| ~ spl0_47
| ~ spl0_194
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f52157]) ).
thf(f52203,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( z = X0 ) )
| ~ spl0_47
| spl0_149
| ~ spl0_194
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f52186,f49558]) ).
thf(f52223,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_47
| spl0_149
| ~ spl0_194
| ~ spl0_222 ),
inference(constrained_superposition,[],[f52203,f452]) ).
thf(f52228,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( z = X0 ) )
| ~ spl0_47
| spl0_149
| ~ spl0_194
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f52223]) ).
thf(f52234,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ z ) )
| ~ spl0_47
| spl0_149
| ~ spl0_194
| ~ spl0_222
| ~ spl0_679 ),
inference(constrained_superposition,[],[f38956,f52228]) ).
thf(f52239,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( s @ X0 )
= z )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_47
| spl0_149
| ~ spl0_194
| ~ spl0_222
| ~ spl0_458 ),
inference(constrained_superposition,[],[f24869,f52228]) ).
thf(f52240,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X0 ) )
| ~ spl0_47
| ~ spl0_55
| spl0_149
| ~ spl0_194
| ~ spl0_222 ),
inference(constrained_superposition,[],[f909,f52228]) ).
thf(f52305,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_47
| ~ spl0_55
| spl0_149
| ~ spl0_194
| ~ spl0_222 ),
inference(duplicate_literal_removal,[],[f52240]) ).
thf(f52306,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_47
| ~ spl0_55
| spl0_149
| ~ spl0_194
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f52305]) ).
thf(f52307,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= z )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) )
| ~ spl0_47
| spl0_149
| ~ spl0_194
| ~ spl0_222
| ~ spl0_458 ),
inference(trivial_inequality_removal,[],[f52239]) ).
thf(f52347,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( z
= ( s @ z ) )
| ~ spl0_47
| spl0_149
| ~ spl0_194
| ~ spl0_222
| ~ spl0_679 ),
inference(trivial_inequality_removal,[],[f52234]) ).
thf(f52372,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( z = X0 ) )
| ~ spl0_41
| ~ spl0_47
| ~ spl0_55
| spl0_149
| ~ spl0_194
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f52306,f599]) ).
thf(f52373,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( s @ X0 )
= z ) )
| ~ spl0_40
| ~ spl0_47
| spl0_149
| ~ spl0_194
| ~ spl0_222
| ~ spl0_458 ),
inference(forward_subsumption_resolution,[],[f52307,f577]) ).
thf(f52389,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ z ) )
| ~ spl0_40
| ~ spl0_47
| spl0_149
| ~ spl0_194
| ~ spl0_222
| ~ spl0_679 ),
inference(forward_subsumption_resolution,[],[f52347,f577]) ).
thf(f52403,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ~ spl0_40
| ~ spl0_47
| spl0_149
| ~ spl0_194
| ~ spl0_222
| ~ spl0_458 ),
inference(forward_subsumption_resolution,[],[f52373,f28]) ).
thf(f52407,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_40
| ~ spl0_47
| spl0_149
| ~ spl0_194
| ~ spl0_222
| ~ spl0_679 ),
inference(forward_subsumption_resolution,[],[f52389,f28]) ).
thf(f52411,plain,
( spl0_305
| ~ spl0_40
| ~ spl0_47
| spl0_149
| ~ spl0_194
| ~ spl0_222
| ~ spl0_458 ),
inference(avatar_split_clause,[],[f52403,f24868,f11044,f8710,f7408,f718,f576,f18321]) ).
thf(f52412,plain,
( spl0_286
| ~ spl0_40
| ~ spl0_47
| spl0_149
| ~ spl0_194
| ~ spl0_222
| ~ spl0_679 ),
inference(avatar_split_clause,[],[f52407,f38955,f11044,f8710,f7408,f718,f576,f15936]) ).
thf(f52428,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_286
| ~ spl0_341 ),
inference(constrained_superposition,[],[f24006,f43151]) ).
thf(f52436,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_286
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f52428]) ).
thf(f52438,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_286
| ~ spl0_341 ),
inference(forward_subsumption_resolution,[],[f52436,f28]) ).
thf(f52439,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_286
| ~ spl0_301
| ~ spl0_341 ),
inference(constrained_superposition,[],[f18307,f52438]) ).
thf(f52450,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_47
| ~ spl0_286
| ~ spl0_341 ),
inference(constrained_superposition,[],[f719,f52438]) ).
thf(f52474,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_286
| ~ spl0_301
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f52439]) ).
thf(f52483,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_47
| ~ spl0_286
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f52450]) ).
thf(f52498,definition,
( spl0_790
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_790])],[avatar_definition]) ).
thf(f52499,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_790 ),
inference(avatar_component_clause,[],[f52498]) ).
thf(f52501,plain,
( ~ spl0_347
| spl0_346
| ~ spl0_286
| ~ spl0_301
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f52474,f22165,f18306,f15936,f23271,f23274]) ).
thf(f52504,plain,
( ~ spl0_196
| spl0_743
| ~ spl0_47
| ~ spl0_286
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f52483,f22165,f15936,f718,f49545,f8717]) ).
thf(f52508,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_687
| ~ spl0_743 ),
inference(constrained_superposition,[],[f42872,f49546]) ).
thf(f52509,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_679
| ~ spl0_743 ),
inference(constrained_superposition,[],[f38956,f49546]) ).
thf(f52543,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_540
| ~ spl0_743 ),
inference(constrained_superposition,[],[f30901,f49546]) ).
thf(f52567,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_679
| ~ spl0_743 ),
inference(trivial_inequality_removal,[],[f52509]) ).
thf(f52582,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_687
| ~ spl0_743 ),
inference(trivial_inequality_removal,[],[f52508]) ).
thf(f52614,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_540
| ~ spl0_743 ),
inference(trivial_inequality_removal,[],[f52543]) ).
thf(f52626,plain,
( $false
| ~ spl0_40
| ~ spl0_679
| ~ spl0_743 ),
inference(forward_subsumption_resolution,[],[f52567,f577]) ).
thf(f52627,plain,
( ~ spl0_40
| ~ spl0_679
| ~ spl0_743 ),
inference(avatar_contradiction_clause,[],[f52626]) ).
thf(f52631,plain,
( $false
| ~ spl0_41
| ~ spl0_687
| ~ spl0_743 ),
inference(forward_subsumption_resolution,[],[f52582,f599]) ).
thf(f52632,plain,
( ~ spl0_41
| ~ spl0_687
| ~ spl0_743 ),
inference(avatar_contradiction_clause,[],[f52631]) ).
thf(f52637,definition,
( spl0_791
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_791])],[avatar_definition]) ).
thf(f52638,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_791 ),
inference(avatar_component_clause,[],[f52637]) ).
thf(f52648,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_40
| ~ spl0_540
| ~ spl0_743 ),
inference(forward_subsumption_resolution,[],[f52614,f577]) ).
thf(f52668,plain,
( ! [X0: $i] :
( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_40
| ~ spl0_540
| ~ spl0_743 ),
inference(forward_subsumption_resolution,[],[f52648,f28]) ).
thf(f52678,plain,
( spl0_695
| ~ spl0_40
| ~ spl0_540
| ~ spl0_743 ),
inference(avatar_split_clause,[],[f52668,f49545,f30900,f576,f43205]) ).
thf(f52689,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_346 ),
inference(constrained_superposition,[],[f23272,f453]) ).
thf(f52692,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_346 ),
inference(trivial_inequality_removal,[],[f52689]) ).
thf(f52698,definition,
( spl0_792
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_792])],[avatar_definition]) ).
thf(f52699,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_792 ),
inference(avatar_component_clause,[],[f52698]) ).
thf(f52700,plain,
( ~ spl0_453
| spl0_792
| ~ spl0_346 ),
inference(avatar_split_clause,[],[f52692,f23271,f52698,f24368]) ).
thf(f52801,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ~ spl0_41
| ~ spl0_47
| ~ spl0_55
| spl0_149
| ~ spl0_194
| ~ spl0_222
| spl0_286 ),
inference(constrained_superposition,[],[f15937,f52372]) ).
thf(f52812,plain,
( ( z
= ( s @ z ) )
| ~ spl0_41
| ~ spl0_47
| ~ spl0_55
| spl0_149
| ~ spl0_194
| ~ spl0_222
| spl0_286 ),
inference(trivial_inequality_removal,[],[f52801]) ).
thf(f52816,plain,
( $false
| ~ spl0_41
| ~ spl0_47
| ~ spl0_55
| spl0_149
| ~ spl0_194
| ~ spl0_222
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f52812,f28]) ).
thf(f52817,plain,
( ~ spl0_41
| ~ spl0_47
| ~ spl0_55
| spl0_149
| ~ spl0_194
| ~ spl0_222
| spl0_286 ),
inference(avatar_contradiction_clause,[],[f52816]) ).
thf(f52854,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_677 ),
inference(constrained_superposition,[],[f453,f38948]) ).
thf(f53100,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_677 ),
inference(forward_subsumption_resolution,[],[f52854,f29]) ).
thf(f53124,definition,
( spl0_799
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_799])],[avatar_definition]) ).
thf(f53125,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_799 ),
inference(avatar_component_clause,[],[f53124]) ).
thf(f53138,plain,
( $false
| ~ spl0_677 ),
inference(forward_subsumption_resolution,[],[f53100,f30]) ).
thf(f53139,plain,
~ spl0_677,
inference(avatar_contradiction_clause,[],[f53138]) ).
thf(f53439,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ~ spl0_427
| ~ spl0_695 ),
inference(constrained_superposition,[],[f23781,f43206]) ).
thf(f53692,plain,
( spl0_57
| ~ spl0_427
| ~ spl0_695 ),
inference(avatar_split_clause,[],[f53439,f43205,f23780,f955]) ).
thf(f53841,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| spl0_194 ),
inference(constrained_superposition,[],[f20632,f32129]) ).
thf(f53850,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_2
| spl0_194 ),
inference(trivial_inequality_removal,[],[f53841]) ).
thf(f53851,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_244 ),
inference(constrained_superposition,[],[f14746,f36]) ).
thf(f53854,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_244 ),
inference(trivial_inequality_removal,[],[f53851]) ).
thf(f53856,plain,
( spl0_674
| spl0_244 ),
inference(avatar_split_clause,[],[f53854,f14745,f38906]) ).
thf(f53884,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_347 ),
inference(constrained_superposition,[],[f23275,f452]) ).
thf(f53890,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_347 ),
inference(trivial_inequality_removal,[],[f53884]) ).
thf(f53894,plain,
( spl0_743
| spl0_347 ),
inference(avatar_split_clause,[],[f53890,f23274,f49545]) ).
thf(f53898,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_189
| ~ spl0_792 ),
inference(constrained_superposition,[],[f8000,f52699]) ).
thf(f53926,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_792 ),
inference(constrained_superposition,[],[f31,f52699]) ).
thf(f53951,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_189
| ~ spl0_792 ),
inference(trivial_inequality_removal,[],[f53898]) ).
thf(f53956,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_792 ),
inference(trivial_inequality_removal,[],[f53926]) ).
thf(f53968,plain,
( ~ spl0_286
| ~ spl0_189
| ~ spl0_792 ),
inference(avatar_split_clause,[],[f53951,f52698,f7999,f15936]) ).
thf(f53970,plain,
( spl0_791
| spl0_688
| ~ spl0_792 ),
inference(avatar_split_clause,[],[f53956,f52698,f42874,f52637]) ).
thf(f54007,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_188
| ~ spl0_743 ),
inference(constrained_superposition,[],[f7872,f49546]) ).
thf(f54051,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_188
| ~ spl0_743 ),
inference(trivial_inequality_removal,[],[f54007]) ).
thf(f54072,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_188
| ~ spl0_743 ),
inference(forward_subsumption_resolution,[],[f54051,f28]) ).
thf(f54088,plain,
( spl0_674
| spl0_678
| ~ spl0_188
| ~ spl0_743 ),
inference(avatar_split_clause,[],[f54072,f49545,f7871,f38950,f38906]) ).
thf(f54188,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_86
| ~ spl0_791 ),
inference(constrained_superposition,[],[f52638,f1723]) ).
thf(f54212,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_86
| ~ spl0_791 ),
inference(trivial_inequality_removal,[],[f54188]) ).
thf(f54234,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_38
| ~ spl0_86
| ~ spl0_791 ),
inference(forward_subsumption_resolution,[],[f54212,f567]) ).
thf(f54256,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_38
| ~ spl0_86
| ~ spl0_791 ),
inference(forward_subsumption_resolution,[],[f54234,f28]) ).
thf(f54263,plain,
( spl0_677
| spl0_678
| ~ spl0_38
| ~ spl0_86
| ~ spl0_791 ),
inference(avatar_split_clause,[],[f54256,f52637,f1722,f566,f38950,f38947]) ).
thf(f54294,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_678 ),
inference(constrained_superposition,[],[f75,f38951]) ).
thf(f54550,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_678 ),
inference(forward_subsumption_resolution,[],[f54294,f30]) ).
thf(f54635,plain,
( $false
| ~ spl0_678 ),
inference(forward_subsumption_resolution,[],[f54550,f29]) ).
thf(f54636,plain,
~ spl0_678,
inference(avatar_contradiction_clause,[],[f54635]) ).
thf(f55429,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X2 ) )
| ( z = X0 )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_692 ),
inference(constrained_superposition,[],[f31,f43174]) ).
thf(f55443,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( z = X0 )
| ( $true
!= ( r @ z @ X2 ) ) )
| ~ spl0_692 ),
inference(trivial_inequality_removal,[],[f55429]) ).
thf(f55450,definition,
( spl0_836
<=> ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_836])],[avatar_definition]) ).
thf(f55451,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_836 ),
inference(avatar_component_clause,[],[f55450]) ).
thf(f55452,plain,
( spl0_3
| spl0_836
| ~ spl0_692 ),
inference(avatar_split_clause,[],[f55443,f43173,f55450,f100]) ).
thf(f55469,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_694 ),
inference(constrained_superposition,[],[f31,f43196]) ).
thf(f55474,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X2 ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_694 ),
inference(trivial_inequality_removal,[],[f55469]) ).
thf(f55487,definition,
( spl0_837
<=> ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_837])],[avatar_definition]) ).
thf(f55488,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_837 ),
inference(avatar_component_clause,[],[f55487]) ).
thf(f55489,plain,
( spl0_3
| spl0_837
| ~ spl0_694 ),
inference(avatar_split_clause,[],[f55474,f43195,f55487,f100]) ).
thf(f56231,definition,
( spl0_847
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_847])],[avatar_definition]) ).
thf(f56232,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_847 ),
inference(avatar_component_clause,[],[f56231]) ).
thf(f56261,definition,
( spl0_851
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_851])],[avatar_definition]) ).
thf(f56262,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_851 ),
inference(avatar_component_clause,[],[f56261]) ).
thf(f56278,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_743 ),
inference(avatar_component_clause,[],[f49545]) ).
thf(f56294,definition,
( spl0_857
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_857])],[avatar_definition]) ).
thf(f56295,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_857 ),
inference(avatar_component_clause,[],[f56294]) ).
thf(f56301,definition,
( spl0_858
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_858])],[avatar_definition]) ).
thf(f56302,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_858 ),
inference(avatar_component_clause,[],[f56301]) ).
thf(f56340,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_2
| spl0_743 ),
inference(constrained_superposition,[],[f56278,f28966]) ).
thf(f56343,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_2
| spl0_743 ),
inference(trivial_inequality_removal,[],[f56340]) ).
thf(f56382,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_315
| ~ spl0_427 ),
inference(constrained_superposition,[],[f20920,f23781]) ).
thf(f56409,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_315
| ~ spl0_427 ),
inference(trivial_inequality_removal,[],[f56382]) ).
thf(f57116,plain,
( ( ( s @ z )
!= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_678 ),
inference(avatar_component_clause,[],[f38950]) ).
thf(f57205,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| spl0_678 ),
inference(extensionality_resolution,[],[f450,f57116]) ).
thf(f57206,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_678 ),
inference(extensionality_resolution,[],[f450,f57116]) ).
thf(f57207,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| spl0_678 ),
inference(extensionality_resolution,[],[f76,f57116]) ).
thf(f57208,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_678 ),
inference(extensionality_resolution,[],[f76,f57116]) ).
thf(f57214,definition,
( spl0_876
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_876])],[avatar_definition]) ).
thf(f57215,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_876 ),
inference(avatar_component_clause,[],[f57214]) ).
thf(f57218,definition,
( spl0_877
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_877])],[avatar_definition]) ).
thf(f57219,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_877 ),
inference(avatar_component_clause,[],[f57218]) ).
thf(f57221,definition,
( spl0_878
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_878])],[avatar_definition]) ).
thf(f57222,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_878 ),
inference(avatar_component_clause,[],[f57221]) ).
thf(f57223,plain,
( spl0_877
| spl0_878
| spl0_678 ),
inference(avatar_split_clause,[],[f57205,f38950,f57221,f57218]) ).
thf(f57225,definition,
( spl0_879
<=> ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_879])],[avatar_definition]) ).
thf(f57226,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_879 ),
inference(avatar_component_clause,[],[f57225]) ).
thf(f57229,definition,
( spl0_880
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_880])],[avatar_definition]) ).
thf(f57230,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_880 ),
inference(avatar_component_clause,[],[f57229]) ).
thf(f57232,definition,
( spl0_881
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_881])],[avatar_definition]) ).
thf(f57233,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_881 ),
inference(avatar_component_clause,[],[f57232]) ).
thf(f57234,plain,
( spl0_880
| spl0_881
| spl0_678 ),
inference(avatar_split_clause,[],[f57206,f38950,f57232,f57229]) ).
thf(f57236,definition,
( spl0_882
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_882])],[avatar_definition]) ).
thf(f57237,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_882 ),
inference(avatar_component_clause,[],[f57236]) ).
thf(f57238,plain,
( spl0_858
| spl0_882
| spl0_678 ),
inference(avatar_split_clause,[],[f57207,f38950,f57236,f56301]) ).
thf(f57240,definition,
( spl0_883
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_883])],[avatar_definition]) ).
thf(f57241,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_883 ),
inference(avatar_component_clause,[],[f57240]) ).
thf(f57243,definition,
( spl0_884
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_884])],[avatar_definition]) ).
thf(f57244,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_884 ),
inference(avatar_component_clause,[],[f57243]) ).
thf(f57245,plain,
( spl0_883
| spl0_884
| spl0_678 ),
inference(avatar_split_clause,[],[f57208,f38950,f57243,f57240]) ).
thf(f57259,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_315
| ~ spl0_876 ),
inference(constrained_superposition,[],[f20920,f57215]) ).
thf(f57270,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_315
| ~ spl0_876 ),
inference(trivial_inequality_removal,[],[f57259]) ).
thf(f57364,definition,
( spl0_885
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_885])],[avatar_definition]) ).
thf(f57365,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_885 ),
inference(avatar_component_clause,[],[f57364]) ).
thf(f57367,definition,
( spl0_886
<=> ! [X1: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_886])],[avatar_definition]) ).
thf(f57368,plain,
( ! [X1: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
!= $true )
| ~ spl0_886 ),
inference(avatar_component_clause,[],[f57367]) ).
thf(f57396,definition,
( spl0_888
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_888])],[avatar_definition]) ).
thf(f57397,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_888 ),
inference(avatar_component_clause,[],[f57396]) ).
thf(f57457,definition,
( spl0_889
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_889])],[avatar_definition]) ).
thf(f57458,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_889 ),
inference(avatar_component_clause,[],[f57457]) ).
thf(f57468,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_889 ),
inference(constrained_superposition,[],[f452,f57458]) ).
thf(f57707,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_889 ),
inference(forward_subsumption_resolution,[],[f57468,f30]) ).
thf(f57742,plain,
( $false
| ~ spl0_889 ),
inference(forward_subsumption_resolution,[],[f57707,f29]) ).
thf(f57743,plain,
~ spl0_889,
inference(avatar_contradiction_clause,[],[f57742]) ).
thf(f57805,definition,
( spl0_892
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_892])],[avatar_definition]) ).
thf(f57806,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_892 ),
inference(avatar_component_clause,[],[f57805]) ).
thf(f57809,definition,
( spl0_893
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_893])],[avatar_definition]) ).
thf(f57810,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_893 ),
inference(avatar_component_clause,[],[f57809]) ).
thf(f57930,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_40
| ~ spl0_87
| ~ spl0_892 ),
inference(constrained_superposition,[],[f47718,f57806]) ).
thf(f57970,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_40
| ~ spl0_87
| ~ spl0_892 ),
inference(trivial_inequality_removal,[],[f57930]) ).
thf(f58001,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_40
| ~ spl0_87
| ~ spl0_892 ),
inference(forward_subsumption_resolution,[],[f57970,f28]) ).
thf(f58003,definition,
( spl0_897
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_897])],[avatar_definition]) ).
thf(f58004,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_897 ),
inference(avatar_component_clause,[],[f58003]) ).
thf(f58018,plain,
( spl0_889
| spl0_888
| ~ spl0_40
| ~ spl0_87
| ~ spl0_892 ),
inference(avatar_split_clause,[],[f58001,f57805,f1751,f576,f57396,f57457]) ).
thf(f58054,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_888 ),
inference(constrained_superposition,[],[f75,f57397]) ).
thf(f58301,definition,
( spl0_901
<=> ! [X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X1 )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_901])],[avatar_definition]) ).
thf(f58302,plain,
( ! [X1: $i] :
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= X1 )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_901 ),
inference(avatar_component_clause,[],[f58301]) ).
thf(f58333,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_888 ),
inference(forward_subsumption_resolution,[],[f58054,f30]) ).
thf(f58355,definition,
( spl0_902
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_902])],[avatar_definition]) ).
thf(f58356,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_902 ),
inference(avatar_component_clause,[],[f58355]) ).
thf(f58425,plain,
( $false
| ~ spl0_888 ),
inference(forward_subsumption_resolution,[],[f58333,f29]) ).
thf(f58426,plain,
~ spl0_888,
inference(avatar_contradiction_clause,[],[f58425]) ).
thf(f58506,definition,
( spl0_903
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_903])],[avatar_definition]) ).
thf(f58507,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_903 ),
inference(avatar_component_clause,[],[f58506]) ).
thf(f58516,definition,
( spl0_905
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_905])],[avatar_definition]) ).
thf(f58517,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_905 ),
inference(avatar_component_clause,[],[f58516]) ).
thf(f58519,definition,
( spl0_906
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_906])],[avatar_definition]) ).
thf(f58520,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_906 ),
inference(avatar_component_clause,[],[f58519]) ).
thf(f58522,definition,
( spl0_907
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_907])],[avatar_definition]) ).
thf(f58523,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_907 ),
inference(avatar_component_clause,[],[f58522]) ).
thf(f58524,plain,
( spl0_905
| spl0_906
| spl0_907
| ~ spl0_315
| ~ spl0_876 ),
inference(avatar_split_clause,[],[f57270,f57214,f20919,f58522,f58519,f58516]) ).
thf(f58527,plain,
( spl0_481
| spl0_235
| spl0_234
| ~ spl0_315
| ~ spl0_427 ),
inference(avatar_split_clause,[],[f56409,f23780,f20919,f14355,f14360,f29300]) ).
thf(f58530,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_30
| ~ spl0_189 ),
inference(constrained_superposition,[],[f8000,f537]) ).
thf(f58556,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_30
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f58530]) ).
thf(f58600,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_907 ),
inference(constrained_superposition,[],[f453,f58523]) ).
thf(f58823,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_907 ),
inference(forward_subsumption_resolution,[],[f58600,f30]) ).
thf(f58842,plain,
( $false
| ~ spl0_907 ),
inference(forward_subsumption_resolution,[],[f58823,f29]) ).
thf(f58843,plain,
~ spl0_907,
inference(avatar_contradiction_clause,[],[f58842]) ).
thf(f58845,definition,
( spl0_910
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_910])],[avatar_definition]) ).
thf(f58846,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_910 ),
inference(avatar_component_clause,[],[f58845]) ).
thf(f58912,definition,
( spl0_911
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_911])],[avatar_definition]) ).
thf(f58913,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_911 ),
inference(avatar_component_clause,[],[f58912]) ).
thf(f58952,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_906 ),
inference(constrained_superposition,[],[f452,f58520]) ).
thf(f59216,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_906 ),
inference(forward_subsumption_resolution,[],[f58952,f29]) ).
thf(f59298,plain,
( $false
| ~ spl0_906 ),
inference(forward_subsumption_resolution,[],[f59216,f30]) ).
thf(f59299,plain,
~ spl0_906,
inference(avatar_contradiction_clause,[],[f59298]) ).
thf(f59516,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_837
| ~ spl0_883 ),
inference(constrained_superposition,[],[f55488,f57241]) ).
thf(f59553,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_837
| ~ spl0_883 ),
inference(trivial_inequality_removal,[],[f59516]) ).
thf(f59588,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_233
| ~ spl0_837
| ~ spl0_883 ),
inference(forward_subsumption_resolution,[],[f59553,f14899]) ).
thf(f59602,plain,
( spl0_902
| ~ spl0_233
| ~ spl0_837
| ~ spl0_883 ),
inference(avatar_split_clause,[],[f59588,f57240,f55487,f14325,f58355]) ).
thf(f59624,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_47
| ~ spl0_884 ),
inference(constrained_superposition,[],[f719,f57244]) ).
thf(f59638,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_83
| ~ spl0_884 ),
inference(constrained_superposition,[],[f2817,f57244]) ).
thf(f59644,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_83
| ~ spl0_884 ),
inference(trivial_inequality_removal,[],[f59638]) ).
thf(f59667,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_47
| ~ spl0_884 ),
inference(trivial_inequality_removal,[],[f59624]) ).
thf(f59668,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_83
| spl0_149
| ~ spl0_884 ),
inference(forward_subsumption_resolution,[],[f59644,f49558]) ).
thf(f59682,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_47
| spl0_149
| ~ spl0_884 ),
inference(forward_subsumption_resolution,[],[f59667,f49558]) ).
thf(f59683,plain,
( spl0_235
| spl0_889
| spl0_892
| ~ spl0_83
| spl0_149
| ~ spl0_884 ),
inference(avatar_split_clause,[],[f59668,f57243,f7408,f1645,f57805,f57457,f14360]) ).
thf(f59684,plain,
( ~ spl0_851
| ~ spl0_47
| spl0_149
| ~ spl0_884 ),
inference(avatar_split_clause,[],[f59682,f57243,f7408,f718,f56261]) ).
thf(f59725,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_836
| ~ spl0_892 ),
inference(constrained_superposition,[],[f55451,f57806]) ).
thf(f59744,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_836
| ~ spl0_892 ),
inference(trivial_inequality_removal,[],[f59725]) ).
thf(f59782,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_836
| ~ spl0_892 ),
inference(forward_subsumption_resolution,[],[f59744,f28]) ).
thf(f59798,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_40
| ~ spl0_836
| ~ spl0_892 ),
inference(forward_subsumption_resolution,[],[f59782,f577]) ).
thf(f59812,plain,
( spl0_902
| ~ spl0_40
| ~ spl0_836
| ~ spl0_892 ),
inference(avatar_split_clause,[],[f59798,f57805,f55450,f576,f58355]) ).
thf(f59844,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_341
| ~ spl0_902 ),
inference(constrained_superposition,[],[f24006,f58356]) ).
thf(f60025,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_341
| ~ spl0_902 ),
inference(forward_subsumption_resolution,[],[f59844,f28]) ).
thf(f60052,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_233
| ~ spl0_341
| ~ spl0_902 ),
inference(forward_subsumption_resolution,[],[f60025,f14899]) ).
thf(f60069,plain,
( $false
| ~ spl0_233
| ~ spl0_341
| ~ spl0_902 ),
inference(forward_subsumption_resolution,[],[f60052,f30]) ).
thf(f60070,plain,
( ~ spl0_233
| ~ spl0_341
| ~ spl0_902 ),
inference(avatar_contradiction_clause,[],[f60069]) ).
thf(f60264,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_7
| ~ spl0_886 ),
inference(constrained_superposition,[],[f57368,f767]) ).
thf(f60310,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_7
| ~ spl0_886 ),
inference(trivial_inequality_removal,[],[f60264]) ).
thf(f60346,plain,
( $false
| ~ spl0_7
| ~ spl0_886 ),
inference(forward_subsumption_resolution,[],[f60310,f57368]) ).
thf(f60347,plain,
( ~ spl0_7
| ~ spl0_886 ),
inference(avatar_contradiction_clause,[],[f60346]) ).
thf(f60723,definition,
( spl0_926
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_926])],[avatar_definition]) ).
thf(f60724,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| spl0_926 ),
inference(avatar_component_clause,[],[f60723]) ).
thf(f60730,definition,
( spl0_927
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_927])],[avatar_definition]) ).
thf(f60731,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| spl0_927 ),
inference(avatar_component_clause,[],[f60730]) ).
thf(f60736,definition,
( spl0_928
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_928])],[avatar_definition]) ).
thf(f60737,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X1 ) )
| ~ spl0_928 ),
inference(avatar_component_clause,[],[f60736]) ).
thf(f60739,definition,
( spl0_929
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_929])],[avatar_definition]) ).
thf(f60740,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_929 ),
inference(avatar_component_clause,[],[f60739]) ).
thf(f60752,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_47
| ~ spl0_877 ),
inference(constrained_superposition,[],[f719,f57219]) ).
thf(f60766,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_83
| ~ spl0_877 ),
inference(constrained_superposition,[],[f2817,f57219]) ).
thf(f60769,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_877 ),
inference(constrained_superposition,[],[f24043,f57219]) ).
thf(f60778,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_877 ),
inference(trivial_inequality_removal,[],[f60769]) ).
thf(f60786,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_47
| ~ spl0_877 ),
inference(trivial_inequality_removal,[],[f60752]) ).
thf(f60787,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_83
| ~ spl0_877 ),
inference(trivial_inequality_removal,[],[f60766]) ).
thf(f60796,definition,
( spl0_930
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_930])],[avatar_definition]) ).
thf(f60797,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_930 ),
inference(avatar_component_clause,[],[f60796]) ).
thf(f60803,definition,
( spl0_932
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_932])],[avatar_definition]) ).
thf(f60804,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_932 ),
inference(avatar_component_clause,[],[f60803]) ).
thf(f60806,definition,
( spl0_933
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_933])],[avatar_definition]) ).
thf(f60807,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| spl0_933 ),
inference(avatar_component_clause,[],[f60806]) ).
thf(f60815,definition,
( spl0_935
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_935])],[avatar_definition]) ).
thf(f60816,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_935 ),
inference(avatar_component_clause,[],[f60815]) ).
thf(f60825,plain,
( spl0_930
| ~ spl0_347
| ~ spl0_47
| ~ spl0_877 ),
inference(avatar_split_clause,[],[f60786,f57218,f718,f23274,f60796]) ).
thf(f60826,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_83
| spl0_743
| ~ spl0_877 ),
inference(forward_subsumption_resolution,[],[f60787,f56278]) ).
thf(f60827,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_926 ),
inference(avatar_component_clause,[],[f60723]) ).
thf(f60835,plain,
( spl0_677
| spl0_907
| spl0_930
| ~ spl0_83
| spl0_743
| ~ spl0_877 ),
inference(avatar_split_clause,[],[f60826,f57218,f49545,f1645,f60796,f58522,f38947]) ).
thf(f60838,definition,
( spl0_939
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_939])],[avatar_definition]) ).
thf(f60839,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_939 ),
inference(avatar_component_clause,[],[f60838]) ).
thf(f60841,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| spl0_933 ),
inference(constrained_superposition,[],[f60807,f36]) ).
thf(f60843,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| spl0_933 ),
inference(trivial_inequality_removal,[],[f60841]) ).
thf(f60856,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_939 ),
inference(constrained_superposition,[],[f60839,f32]) ).
thf(f60857,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| spl0_939 ),
inference(trivial_inequality_removal,[],[f60856]) ).
thf(f60860,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_879
| ~ spl0_930 ),
inference(constrained_superposition,[],[f57226,f60797]) ).
thf(f60866,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_461
| ~ spl0_930 ),
inference(constrained_superposition,[],[f25047,f60797]) ).
thf(f60906,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_461
| ~ spl0_930 ),
inference(trivial_inequality_removal,[],[f60866]) ).
thf(f60920,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_879
| ~ spl0_930 ),
inference(trivial_inequality_removal,[],[f60860]) ).
thf(f60947,plain,
( $false
| ~ spl0_40
| ~ spl0_879
| ~ spl0_930 ),
inference(forward_subsumption_resolution,[],[f60920,f577]) ).
thf(f60948,plain,
( ~ spl0_40
| ~ spl0_879
| ~ spl0_930 ),
inference(avatar_contradiction_clause,[],[f60947]) ).
thf(f60950,definition,
( spl0_940
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_940])],[avatar_definition]) ).
thf(f60951,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_940 ),
inference(avatar_component_clause,[],[f60950]) ).
thf(f60972,plain,
( spl0_876
| spl0_933 ),
inference(avatar_split_clause,[],[f60843,f60806,f57214]) ).
thf(f60976,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_41
| ~ spl0_461
| ~ spl0_930 ),
inference(forward_subsumption_resolution,[],[f60906,f599]) ).
thf(f60978,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_877 ),
inference(forward_subsumption_resolution,[],[f60778,f28]) ).
thf(f60982,plain,
( spl0_876
| ~ spl0_41
| ~ spl0_461
| ~ spl0_930 ),
inference(avatar_split_clause,[],[f60976,f60796,f25046,f598,f57214]) ).
thf(f60983,plain,
( spl0_876
| ~ spl0_244
| ~ spl0_2
| ~ spl0_877 ),
inference(avatar_split_clause,[],[f60978,f57218,f53,f14745,f57214]) ).
thf(f61031,plain,
( ~ spl0_25
| ~ spl0_30
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f58556,f7999,f536,f251]) ).
thf(f61070,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f5390,f28]) ).
thf(f61131,plain,
( spl0_25
| spl0_51
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f61070,f385,f785,f251]) ).
thf(f61148,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( z = X1 )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true ) )
| ~ spl0_4
| ~ spl0_25 ),
inference(constrained_superposition,[],[f104,f252]) ).
thf(f61150,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( X0 = X1 )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( z = X1 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
= $true ) )
| ~ spl0_4
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f61148]) ).
thf(f61152,plain,
( spl0_324
| ~ spl0_4
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f61150,f251,f103,f21681]) ).
thf(f61168,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_26
| spl0_30 ),
inference(constrained_superposition,[],[f953,f11576]) ).
thf(f61179,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_26
| spl0_30 ),
inference(trivial_inequality_removal,[],[f61168]) ).
thf(f61183,plain,
( spl0_309
| spl0_33
| ~ spl0_26
| spl0_30 ),
inference(avatar_split_clause,[],[f61179,f536,f337,f549,f19286]) ).
thf(f61184,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_341
| ~ spl0_481 ),
inference(constrained_superposition,[],[f22166,f29301]) ).
thf(f61189,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_74
| ~ spl0_481 ),
inference(constrained_superposition,[],[f1498,f29301]) ).
thf(f61197,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_341
| ~ spl0_481 ),
inference(trivial_inequality_removal,[],[f61184]) ).
thf(f61199,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_74
| ~ spl0_481 ),
inference(trivial_inequality_removal,[],[f61189]) ).
thf(f61206,plain,
( $false
| ~ spl0_25
| ~ spl0_341
| ~ spl0_481 ),
inference(forward_subsumption_resolution,[],[f61197,f252]) ).
thf(f61207,plain,
( ~ spl0_25
| ~ spl0_341
| ~ spl0_481 ),
inference(avatar_contradiction_clause,[],[f61206]) ).
thf(f61209,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_25
| ~ spl0_74
| ~ spl0_481 ),
inference(forward_subsumption_resolution,[],[f61199,f252]) ).
thf(f61215,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_25
| ~ spl0_74
| ~ spl0_481 ),
inference(forward_subsumption_resolution,[],[f61209,f28]) ).
thf(f61218,plain,
( spl0_269
| ~ spl0_25
| ~ spl0_74
| ~ spl0_481 ),
inference(avatar_split_clause,[],[f61215,f29300,f1497,f251,f15378]) ).
thf(f61234,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_893 ),
inference(avatar_component_clause,[],[f57809]) ).
thf(f61236,plain,
( spl0_677
| spl0_674
| spl0_38
| ~ spl0_2
| spl0_743 ),
inference(avatar_split_clause,[],[f56343,f49545,f53,f566,f38906,f38947]) ).
thf(f61252,plain,
( spl0_336
| ~ spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f31979,f120,f53,f22038]) ).
thf(f61268,plain,
( spl0_38
| spl0_427
| spl0_235
| ~ spl0_2
| spl0_149 ),
inference(avatar_split_clause,[],[f49637,f7408,f53,f14360,f23780,f566]) ).
thf(f61273,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_2
| spl0_194 ),
inference(forward_subsumption_resolution,[],[f53850,f28]) ).
thf(f61402,definition,
( spl0_957
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_957])],[avatar_definition]) ).
thf(f61403,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_957 ),
inference(avatar_component_clause,[],[f61402]) ).
thf(f61404,plain,
( spl0_957
| spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f32134,f53,f120,f61402]) ).
thf(f61430,plain,
( spl0_6
| spl0_427
| ~ spl0_2
| spl0_194 ),
inference(avatar_split_clause,[],[f61273,f8710,f53,f23780,f120]) ).
thf(f61442,plain,
( spl0_17
| spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f32135,f53,f120,f219]) ).
thf(f61443,plain,
( spl0_113
| ~ spl0_6
| ~ spl0_2
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f31885,f611,f53,f120,f2972]) ).
thf(f61487,plain,
( ( $true != $true )
| ~ spl0_19
| spl0_194 ),
inference(constrained_superposition,[],[f20632,f230]) ).
thf(f61498,plain,
( $false
| ~ spl0_19
| spl0_194 ),
inference(trivial_inequality_removal,[],[f61487]) ).
thf(f61499,plain,
( ~ spl0_19
| spl0_194 ),
inference(avatar_contradiction_clause,[],[f61498]) ).
thf(f61561,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_19
| ~ spl0_23 ),
inference(constrained_superposition,[],[f245,f230]) ).
thf(f61567,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_19
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f61561]) ).
thf(f61574,plain,
( spl0_147
| ~ spl0_19
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f61567,f244,f229,f6989]) ).
thf(f61635,plain,
( ( $true != $true )
| ~ spl0_58
| spl0_286 ),
inference(constrained_superposition,[],[f15937,f960]) ).
thf(f61637,plain,
( ( $true != $true )
| ~ spl0_58
| spl0_926 ),
inference(constrained_superposition,[],[f60724,f960]) ).
thf(f61641,plain,
( $false
| ~ spl0_58
| spl0_286 ),
inference(trivial_inequality_removal,[],[f61635]) ).
thf(f61642,plain,
( ~ spl0_58
| spl0_286 ),
inference(avatar_contradiction_clause,[],[f61641]) ).
thf(f61643,plain,
( $false
| ~ spl0_58
| spl0_926 ),
inference(trivial_inequality_removal,[],[f61637]) ).
thf(f61644,plain,
( ~ spl0_58
| spl0_926 ),
inference(avatar_contradiction_clause,[],[f61643]) ).
thf(f61655,plain,
( $false
| ~ spl0_58
| spl0_233 ),
inference(forward_subsumption_resolution,[],[f14326,f960]) ).
thf(f61656,plain,
( ~ spl0_58
| spl0_233 ),
inference(avatar_contradiction_clause,[],[f61655]) ).
thf(f61667,plain,
( spl0_233
| spl0_450 ),
inference(avatar_split_clause,[],[f24378,f24358,f14325]) ).
thf(f62088,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_196 ),
inference(avatar_component_clause,[],[f8717]) ).
thf(f62097,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ~ spl0_286
| ~ spl0_341 ),
inference(constrained_superposition,[],[f24006,f43151]) ).
thf(f62102,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_286
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f62097]) ).
thf(f62104,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_286
| ~ spl0_341 ),
inference(forward_subsumption_resolution,[],[f62102,f28]) ).
thf(f62105,plain,
( spl0_799
| ~ spl0_286
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f62104,f22165,f15936,f53124]) ).
thf(f62106,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_790 ),
inference(constrained_superposition,[],[f52499,f35]) ).
thf(f62109,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_790 ),
inference(trivial_inequality_removal,[],[f62106]) ).
thf(f62113,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_394 ),
inference(constrained_superposition,[],[f23623,f74]) ).
thf(f62117,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f62113]) ).
thf(f62118,plain,
( spl0_7
| ~ spl0_394 ),
inference(avatar_split_clause,[],[f62117,f23622,f126]) ).
thf(f62119,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_43
| ~ spl0_84 ),
inference(constrained_superposition,[],[f612,f1649]) ).
thf(f62131,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ~ spl0_43
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f62119]) ).
thf(f62143,plain,
( ( $true != $true )
| ~ spl0_43
| ~ spl0_84
| ~ spl0_194 ),
inference(constrained_superposition,[],[f62131,f8711]) ).
thf(f62145,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_43
| ~ spl0_84 ),
inference(constrained_superposition,[],[f62131,f32129]) ).
thf(f62148,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_2
| ~ spl0_43
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f62145]) ).
thf(f62149,plain,
( $false
| ~ spl0_43
| ~ spl0_84
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f62143]) ).
thf(f62150,plain,
( ~ spl0_43
| ~ spl0_84
| ~ spl0_194 ),
inference(avatar_contradiction_clause,[],[f62149]) ).
thf(f62153,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_2
| spl0_6
| ~ spl0_43
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f62148,f1011]) ).
thf(f62156,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ~ spl0_2
| spl0_6
| ~ spl0_43
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f62153,f28]) ).
thf(f62158,plain,
( spl0_57
| ~ spl0_2
| spl0_6
| ~ spl0_43
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f62156,f1648,f611,f120,f53,f955]) ).
thf(f62170,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_481 ),
inference(constrained_superposition,[],[f31,f29301]) ).
thf(f62176,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_481 ),
inference(trivial_inequality_removal,[],[f62170]) ).
thf(f62177,plain,
( spl0_462
| spl0_11
| ~ spl0_481 ),
inference(avatar_split_clause,[],[f62176,f29300,f158,f25050]) ).
thf(f62375,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_2
| spl0_893 ),
inference(constrained_superposition,[],[f61234,f32129]) ).
thf(f62377,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| spl0_893 ),
inference(trivial_inequality_removal,[],[f62375]) ).
thf(f62388,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2
| ~ spl0_462 ),
inference(constrained_superposition,[],[f25051,f28966]) ).
thf(f62401,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_462 ),
inference(trivial_inequality_removal,[],[f62388]) ).
thf(f62404,plain,
( spl0_706
| spl0_427
| ~ spl0_2
| ~ spl0_462 ),
inference(avatar_split_clause,[],[f62401,f25050,f53,f23780,f45642]) ).
thf(f62469,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_158
| ~ spl0_481 ),
inference(constrained_superposition,[],[f7515,f29301]) ).
thf(f62471,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_158
| ~ spl0_441 ),
inference(constrained_superposition,[],[f7515,f23851]) ).
thf(f62482,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_158
| ~ spl0_441 ),
inference(trivial_inequality_removal,[],[f62471]) ).
thf(f62486,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_158
| ~ spl0_481 ),
inference(trivial_inequality_removal,[],[f62469]) ).
thf(f62496,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_158
| spl0_233
| ~ spl0_441 ),
inference(forward_subsumption_resolution,[],[f62482,f14326]) ).
thf(f62503,plain,
( $false
| ~ spl0_30
| ~ spl0_158
| ~ spl0_481 ),
inference(forward_subsumption_resolution,[],[f62486,f537]) ).
thf(f62504,plain,
( ~ spl0_30
| ~ spl0_158
| ~ spl0_481 ),
inference(avatar_contradiction_clause,[],[f62503]) ).
thf(f62509,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_30
| ~ spl0_158
| spl0_233
| ~ spl0_441 ),
inference(forward_subsumption_resolution,[],[f62496,f537]) ).
thf(f62513,plain,
( spl0_234
| ~ spl0_30
| ~ spl0_158
| spl0_233
| ~ spl0_441 ),
inference(avatar_split_clause,[],[f62509,f23850,f14325,f7514,f536,f14355]) ).
thf(f62697,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_879
| ~ spl0_905 ),
inference(constrained_superposition,[],[f57226,f58517]) ).
thf(f62707,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_879
| ~ spl0_905 ),
inference(trivial_inequality_removal,[],[f62697]) ).
thf(f62737,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_343 ),
inference(constrained_superposition,[],[f22593,f75]) ).
thf(f62739,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f62737]) ).
thf(f62755,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_116
| ~ spl0_878 ),
inference(constrained_superposition,[],[f3263,f57222]) ).
thf(f62760,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_215
| ~ spl0_550
| ~ spl0_878 ),
inference(constrained_superposition,[],[f31936,f57222]) ).
thf(f62761,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_218
| ~ spl0_550
| ~ spl0_878 ),
inference(constrained_superposition,[],[f31938,f57222]) ).
thf(f62763,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_218
| ~ spl0_550
| ~ spl0_878 ),
inference(trivial_inequality_removal,[],[f62761]) ).
thf(f62764,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_116
| ~ spl0_878 ),
inference(trivial_inequality_removal,[],[f62755]) ).
thf(f62771,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_215
| ~ spl0_550
| ~ spl0_878 ),
inference(trivial_inequality_removal,[],[f62760]) ).
thf(f62774,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_879
| ~ spl0_880 ),
inference(constrained_superposition,[],[f57226,f57230]) ).
thf(f62787,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_879
| ~ spl0_880 ),
inference(trivial_inequality_removal,[],[f62774]) ).
thf(f62795,plain,
( $false
| ~ spl0_286
| ~ spl0_879
| ~ spl0_880 ),
inference(forward_subsumption_resolution,[],[f62787,f43151]) ).
thf(f62796,plain,
( ~ spl0_286
| ~ spl0_879
| ~ spl0_880 ),
inference(avatar_contradiction_clause,[],[f62795]) ).
thf(f62851,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_847
| ~ spl0_897 ),
inference(constrained_superposition,[],[f58004,f56232]) ).
thf(f62853,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_402
| ~ spl0_897 ),
inference(constrained_superposition,[],[f58004,f23670]) ).
thf(f62871,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_847
| ~ spl0_897 ),
inference(trivial_inequality_removal,[],[f62851]) ).
thf(f62872,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= X0 ) )
| ~ spl0_402
| ~ spl0_897 ),
inference(trivial_inequality_removal,[],[f62853]) ).
thf(f62880,plain,
( $false
| ~ spl0_38
| ~ spl0_847
| ~ spl0_897 ),
inference(forward_subsumption_resolution,[],[f62871,f567]) ).
thf(f62881,plain,
( ~ spl0_38
| ~ spl0_847
| ~ spl0_897 ),
inference(avatar_contradiction_clause,[],[f62880]) ).
thf(f62882,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= X0 ) )
| ~ spl0_38
| ~ spl0_402
| ~ spl0_897 ),
inference(forward_subsumption_resolution,[],[f62872,f567]) ).
thf(f62888,plain,
( spl0_901
| ~ spl0_38
| ~ spl0_402
| ~ spl0_897 ),
inference(avatar_split_clause,[],[f62882,f58003,f23669,f566,f58301]) ).
thf(f62969,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_54
| ~ spl0_196 ),
inference(constrained_superposition,[],[f876,f62088]) ).
thf(f62973,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_54
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f62969]) ).
thf(f62980,definition,
( spl0_978
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_978])],[avatar_definition]) ).
thf(f62981,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_978 ),
inference(avatar_component_clause,[],[f62980]) ).
thf(f62982,plain,
( spl0_978
| ~ spl0_450
| ~ spl0_54
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f62973,f8717,f875,f24358,f62980]) ).
thf(f62988,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_978 ),
inference(constrained_superposition,[],[f62981,f453]) ).
thf(f62989,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_978 ),
inference(constrained_superposition,[],[f62981,f75]) ).
thf(f62993,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_978 ),
inference(trivial_inequality_removal,[],[f62988]) ).
thf(f62995,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_978 ),
inference(trivial_inequality_removal,[],[f62989]) ).
thf(f63022,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_427 ),
inference(avatar_component_clause,[],[f23780]) ).
thf(f63032,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_402
| spl0_427 ),
inference(constrained_superposition,[],[f63022,f23670]) ).
thf(f63042,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_402
| spl0_427 ),
inference(trivial_inequality_removal,[],[f63032]) ).
thf(f63046,plain,
( spl0_267
| ~ spl0_402
| spl0_427 ),
inference(avatar_split_clause,[],[f63042,f23780,f23669,f15362]) ).
thf(f63047,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_876
| ~ spl0_940 ),
inference(constrained_superposition,[],[f60951,f57215]) ).
thf(f63053,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_905
| ~ spl0_940 ),
inference(constrained_superposition,[],[f60951,f58517]) ).
thf(f63060,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_876
| ~ spl0_940 ),
inference(trivial_inequality_removal,[],[f63047]) ).
thf(f63068,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_905
| ~ spl0_940 ),
inference(trivial_inequality_removal,[],[f63053]) ).
thf(f63073,plain,
( $false
| ~ spl0_38
| ~ spl0_876
| ~ spl0_940 ),
inference(forward_subsumption_resolution,[],[f63060,f567]) ).
thf(f63074,plain,
( ~ spl0_38
| ~ spl0_876
| ~ spl0_940 ),
inference(avatar_contradiction_clause,[],[f63073]) ).
thf(f63080,plain,
( $false
| ~ spl0_30
| ~ spl0_905
| ~ spl0_940 ),
inference(forward_subsumption_resolution,[],[f63068,f537]) ).
thf(f63081,plain,
( ~ spl0_30
| ~ spl0_905
| ~ spl0_940 ),
inference(avatar_contradiction_clause,[],[f63080]) ).
thf(f63099,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_28
| ~ spl0_196 ),
inference(constrained_superposition,[],[f386,f62088]) ).
thf(f63106,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_28
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f63099]) ).
thf(f63113,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_876
| ~ spl0_929 ),
inference(constrained_superposition,[],[f60740,f57215]) ).
thf(f63121,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_441
| ~ spl0_929 ),
inference(constrained_superposition,[],[f60740,f23851]) ).
thf(f63124,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_351
| ~ spl0_929 ),
inference(constrained_superposition,[],[f60740,f26176]) ).
thf(f63128,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_876
| ~ spl0_929 ),
inference(trivial_inequality_removal,[],[f63113]) ).
thf(f63135,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_351
| ~ spl0_929 ),
inference(trivial_inequality_removal,[],[f63124]) ).
thf(f63137,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_441
| ~ spl0_929 ),
inference(trivial_inequality_removal,[],[f63121]) ).
thf(f63140,plain,
( $false
| ~ spl0_674
| ~ spl0_876
| ~ spl0_929 ),
inference(forward_subsumption_resolution,[],[f63128,f38907]) ).
thf(f63141,plain,
( ~ spl0_674
| ~ spl0_876
| ~ spl0_929 ),
inference(avatar_contradiction_clause,[],[f63140]) ).
thf(f63146,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_351
| ~ spl0_929 ),
inference(forward_subsumption_resolution,[],[f63135,f28]) ).
thf(f63148,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_441
| spl0_926
| ~ spl0_929 ),
inference(forward_subsumption_resolution,[],[f63137,f60724]) ).
thf(f63152,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_351
| spl0_926
| ~ spl0_929 ),
inference(forward_subsumption_resolution,[],[f63146,f60724]) ).
thf(f63154,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_685 ),
inference(avatar_component_clause,[],[f42847]) ).
thf(f63155,plain,
( spl0_906
| ~ spl0_685
| ~ spl0_441
| spl0_926
| ~ spl0_929 ),
inference(avatar_split_clause,[],[f63148,f60739,f60723,f23850,f42847,f58519]) ).
thf(f63156,plain,
( ~ spl0_685
| spl0_906
| ~ spl0_351
| spl0_926
| ~ spl0_929 ),
inference(avatar_split_clause,[],[f63152,f60739,f60723,f23416,f58519,f42847]) ).
thf(f63157,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_441
| spl0_685 ),
inference(constrained_superposition,[],[f63154,f23851]) ).
thf(f63159,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_2
| spl0_685 ),
inference(constrained_superposition,[],[f63154,f32129]) ).
thf(f63160,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_351
| spl0_685 ),
inference(constrained_superposition,[],[f63154,f26176]) ).
thf(f63161,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_351
| spl0_685 ),
inference(trivial_inequality_removal,[],[f63160]) ).
thf(f63163,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_441
| spl0_685 ),
inference(trivial_inequality_removal,[],[f63157]) ).
thf(f63164,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_2
| spl0_685 ),
inference(trivial_inequality_removal,[],[f63159]) ).
thf(f63165,plain,
( ( $true != $true )
| ~ spl0_876
| ~ spl0_928 ),
inference(constrained_superposition,[],[f60737,f57215]) ).
thf(f63171,plain,
( ( $true != $true )
| ~ spl0_905
| ~ spl0_928 ),
inference(constrained_superposition,[],[f60737,f58517]) ).
thf(f63173,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_441
| ~ spl0_928 ),
inference(constrained_superposition,[],[f60737,f23851]) ).
thf(f63178,plain,
( $false
| ~ spl0_876
| ~ spl0_928 ),
inference(trivial_inequality_removal,[],[f63165]) ).
thf(f63179,plain,
( ~ spl0_876
| ~ spl0_928 ),
inference(avatar_contradiction_clause,[],[f63178]) ).
thf(f63188,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_441
| ~ spl0_928 ),
inference(trivial_inequality_removal,[],[f63173]) ).
thf(f63190,plain,
( $false
| ~ spl0_905
| ~ spl0_928 ),
inference(trivial_inequality_removal,[],[f63171]) ).
thf(f63191,plain,
( ~ spl0_905
| ~ spl0_928 ),
inference(avatar_contradiction_clause,[],[f63190]) ).
thf(f63197,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_441
| spl0_926
| ~ spl0_928 ),
inference(forward_subsumption_resolution,[],[f63188,f60724]) ).
thf(f63200,plain,
( spl0_906
| ~ spl0_441
| spl0_926
| ~ spl0_928 ),
inference(avatar_split_clause,[],[f63197,f60736,f60723,f23850,f58519]) ).
thf(f63222,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_905
| ~ spl0_929 ),
inference(constrained_superposition,[],[f60740,f58517]) ).
thf(f63236,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_905
| ~ spl0_929 ),
inference(trivial_inequality_removal,[],[f63222]) ).
thf(f63260,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_932 ),
inference(constrained_superposition,[],[f60804,f453]) ).
thf(f63267,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_932 ),
inference(trivial_inequality_removal,[],[f63260]) ).
thf(f63269,definition,
( spl0_984
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_984])],[avatar_definition]) ).
thf(f63270,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_984 ),
inference(avatar_component_clause,[],[f63269]) ).
thf(f63271,plain,
( spl0_935
| ~ spl0_984
| ~ spl0_932 ),
inference(avatar_split_clause,[],[f63267,f60803,f63269,f60815]) ).
thf(f63275,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_984 ),
inference(constrained_superposition,[],[f63270,f32]) ).
thf(f63279,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_984 ),
inference(trivial_inequality_removal,[],[f63275]) ).
thf(f63283,plain,
( spl0_677
| spl0_792
| spl0_984 ),
inference(avatar_split_clause,[],[f63279,f63269,f52698,f38947]) ).
thf(f63291,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_215
| ~ spl0_550
| ~ spl0_878 ),
inference(forward_subsumption_resolution,[],[f62771,f28]) ).
thf(f63292,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_2
| spl0_685 ),
inference(forward_subsumption_resolution,[],[f63164,f28]) ).
thf(f63296,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| spl0_6
| spl0_893 ),
inference(forward_subsumption_resolution,[],[f62377,f1011]) ).
thf(f63297,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_441
| spl0_678
| spl0_685 ),
inference(forward_subsumption_resolution,[],[f63163,f57116]) ).
thf(f63300,plain,
( spl0_286
| spl0_790 ),
inference(avatar_split_clause,[],[f62109,f52498,f15936]) ).
thf(f63301,plain,
( spl0_194
| ~ spl0_12
| ~ spl0_978 ),
inference(avatar_split_clause,[],[f62995,f62980,f200,f8710]) ).
thf(f63302,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_674 ),
inference(avatar_component_clause,[],[f38906]) ).
thf(f63306,plain,
( spl0_194
| ~ spl0_190
| ~ spl0_343 ),
inference(avatar_split_clause,[],[f62739,f22592,f8108,f8710]) ).
thf(f63311,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_351
| spl0_678
| spl0_685 ),
inference(forward_subsumption_resolution,[],[f63161,f57116]) ).
thf(f63328,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_218
| ~ spl0_550
| ~ spl0_878 ),
inference(forward_subsumption_resolution,[],[f62763,f28]) ).
thf(f63332,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_215
| ~ spl0_550
| ~ spl0_878 ),
inference(forward_subsumption_resolution,[],[f63291,f28]) ).
thf(f63333,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_2
| spl0_6
| spl0_685 ),
inference(forward_subsumption_resolution,[],[f63292,f1011]) ).
thf(f63334,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| spl0_6
| spl0_893 ),
inference(forward_subsumption_resolution,[],[f63296,f28]) ).
thf(f63335,plain,
( spl0_286
| ~ spl0_441
| spl0_678
| spl0_685 ),
inference(avatar_split_clause,[],[f63297,f42847,f38950,f23850,f15936]) ).
thf(f63338,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_351
| spl0_678
| spl0_685 ),
inference(forward_subsumption_resolution,[],[f63311,f28]) ).
thf(f63341,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_218
| ~ spl0_550
| spl0_678
| ~ spl0_878 ),
inference(forward_subsumption_resolution,[],[f63328,f57116]) ).
thf(f63344,plain,
( spl0_876
| spl0_674
| spl0_906
| ~ spl0_215
| ~ spl0_550
| ~ spl0_878 ),
inference(avatar_split_clause,[],[f63332,f57221,f31895,f9096,f58519,f38906,f57214]) ).
thf(f63345,plain,
( spl0_674
| ~ spl0_2
| spl0_6
| spl0_685 ),
inference(avatar_split_clause,[],[f63333,f42847,f120,f53,f38906]) ).
thf(f63346,plain,
( spl0_847
| ~ spl0_2
| spl0_6
| spl0_893 ),
inference(avatar_split_clause,[],[f63334,f57809,f120,f53,f56231]) ).
thf(f63347,plain,
( spl0_286
| ~ spl0_351
| spl0_678
| spl0_685 ),
inference(avatar_split_clause,[],[f63338,f42847,f38950,f23416,f15936]) ).
thf(f63348,plain,
( spl0_906
| spl0_876
| spl0_286
| ~ spl0_218
| ~ spl0_550
| spl0_678
| ~ spl0_878 ),
inference(avatar_split_clause,[],[f63341,f57221,f38950,f31895,f10080,f15936,f57214,f58519]) ).
thf(f63349,plain,
( ~ spl0_32
| spl0_154
| ~ spl0_978 ),
inference(avatar_split_clause,[],[f62993,f62980,f7427,f544]) ).
thf(f63354,plain,
( ~ spl0_685
| ~ spl0_905
| ~ spl0_929 ),
inference(avatar_split_clause,[],[f63236,f60739,f58516,f42847]) ).
thf(f63356,plain,
( ~ spl0_25
| ~ spl0_879
| ~ spl0_905 ),
inference(avatar_split_clause,[],[f62707,f58516,f57225,f251]) ).
thf(f63363,plain,
( spl0_906
| spl0_905
| spl0_939 ),
inference(avatar_split_clause,[],[f60857,f60838,f58516,f58519]) ).
thf(f63376,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X2 ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_248 ),
inference(constrained_superposition,[],[f31,f14802]) ).
thf(f63390,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X2 ) )
| ( z = X0 ) )
| ~ spl0_248 ),
inference(trivial_inequality_removal,[],[f63376]) ).
thf(f63393,plain,
( spl0_449
| spl0_3
| ~ spl0_248 ),
inference(avatar_split_clause,[],[f63390,f14801,f100,f24058]) ).
thf(f63396,plain,
( ( $true != $true )
| ~ spl0_1
| spl0_926 ),
inference(constrained_superposition,[],[f60724,f51]) ).
thf(f63405,plain,
( $false
| ~ spl0_1
| spl0_926 ),
inference(trivial_inequality_removal,[],[f63396]) ).
thf(f63406,plain,
( ~ spl0_1
| spl0_926 ),
inference(avatar_contradiction_clause,[],[f63405]) ).
thf(f63444,plain,
( ( $true != $true )
| ~ spl0_159
| ~ spl0_481 ),
inference(constrained_superposition,[],[f7591,f29301]) ).
thf(f63446,plain,
( $false
| ~ spl0_159
| ~ spl0_481 ),
inference(trivial_inequality_removal,[],[f63444]) ).
thf(f63447,plain,
( ~ spl0_159
| ~ spl0_481 ),
inference(avatar_contradiction_clause,[],[f63446]) ).
thf(f63460,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_28
| spl0_30
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f63106,f953]) ).
thf(f63465,plain,
( ~ spl0_153
| ~ spl0_28
| spl0_30
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f63460,f8717,f536,f385,f7423]) ).
thf(f63483,plain,
( spl0_694
| ~ spl0_926
| ~ spl0_116
| ~ spl0_878 ),
inference(avatar_split_clause,[],[f62764,f57221,f3262,f60723,f43195]) ).
thf(f63507,plain,
( ( $true != $true )
| ~ spl0_40
| ~ spl0_147 ),
inference(constrained_superposition,[],[f6990,f577]) ).
thf(f63508,plain,
( $false
| ~ spl0_40
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f63507]) ).
thf(f63509,plain,
( ~ spl0_40
| ~ spl0_147 ),
inference(avatar_contradiction_clause,[],[f63508]) ).
thf(f63525,plain,
( ( $true != $true )
| ~ spl0_233
| ~ spl0_257 ),
inference(constrained_superposition,[],[f14982,f14899]) ).
thf(f63526,plain,
( $false
| ~ spl0_233
| ~ spl0_257 ),
inference(trivial_inequality_removal,[],[f63525]) ).
thf(f63527,plain,
( ~ spl0_233
| ~ spl0_257 ),
inference(avatar_contradiction_clause,[],[f63526]) ).
thf(f63553,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_23
| ~ spl0_194 ),
inference(constrained_superposition,[],[f245,f8711]) ).
thf(f63555,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_23
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f63553]) ).
thf(f63556,plain,
( $false
| ~ spl0_23
| ~ spl0_194
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[],[f63555,f14899]) ).
thf(f63557,plain,
( ~ spl0_23
| ~ spl0_194
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f63556]) ).
thf(f63558,plain,
( $false
| ~ spl0_44
| ~ spl0_154 ),
inference(forward_subsumption_resolution,[],[f7428,f615]) ).
thf(f63559,plain,
( ~ spl0_44
| ~ spl0_154 ),
inference(avatar_contradiction_clause,[],[f63558]) ).
thf(f63564,plain,
( $false
| ~ spl0_44
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f1649,f615]) ).
thf(f63565,plain,
( ~ spl0_44
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f63564]) ).
thf(f63566,plain,
( $false
| ~ spl0_149
| ~ spl0_159 ),
inference(forward_subsumption_resolution,[],[f7409,f7591]) ).
thf(f63567,plain,
( ~ spl0_149
| ~ spl0_159 ),
inference(avatar_contradiction_clause,[],[f63566]) ).
thf(f63591,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f31,f537]) ).
thf(f63597,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f63591]) ).
thf(f63606,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_57
| ~ spl0_911 ),
inference(constrained_superposition,[],[f58913,f956]) ).
thf(f63612,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_57 ),
inference(constrained_superposition,[],[f31,f956]) ).
thf(f63615,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_57
| ~ spl0_911 ),
inference(trivial_inequality_removal,[],[f63606]) ).
thf(f63620,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X2 ) ) )
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f63612]) ).
thf(f63622,plain,
( spl0_3
| spl0_56
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f63620,f955,f950,f100]) ).
thf(f63676,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( z
= ( s @ z ) )
| ( $true != $true ) )
| ~ spl0_84
| ~ spl0_449 ),
inference(constrained_superposition,[],[f24059,f1649]) ).
thf(f63685,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( z
= ( s @ z ) ) )
| ~ spl0_84
| ~ spl0_449 ),
inference(trivial_inequality_removal,[],[f63676]) ).
thf(f63689,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_84
| ~ spl0_449 ),
inference(forward_subsumption_resolution,[],[f63685,f28]) ).
thf(f63691,plain,
( spl0_257
| ~ spl0_84
| ~ spl0_449 ),
inference(avatar_split_clause,[],[f63689,f24058,f1648,f14981]) ).
thf(f63692,plain,
( spl0_11
| spl0_43
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f63597,f536,f611,f158]) ).
thf(f63693,plain,
( ~ spl0_6
| ~ spl0_57
| ~ spl0_911 ),
inference(avatar_split_clause,[],[f63615,f58912,f955,f120]) ).
thf(f63697,definition,
( spl0_989
<=> ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_989])],[avatar_definition]) ).
thf(f63698,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ~ spl0_989 ),
inference(avatar_component_clause,[],[f63697]) ).
thf(f63738,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_857 ),
inference(constrained_superposition,[],[f74,f56295]) ).
thf(f63819,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_857 ),
inference(forward_subsumption_resolution,[],[f63738,f30]) ).
thf(f63838,plain,
( $false
| ~ spl0_857 ),
inference(forward_subsumption_resolution,[],[f63819,f29]) ).
thf(f63839,plain,
~ spl0_857,
inference(avatar_contradiction_clause,[],[f63838]) ).
thf(f63848,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_453 ),
inference(constrained_superposition,[],[f24369,f37]) ).
thf(f63852,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_453 ),
inference(trivial_inequality_removal,[],[f63848]) ).
thf(f63854,plain,
( $false
| ~ spl0_298
| ~ spl0_989 ),
inference(forward_subsumption_resolution,[],[f18297,f63698]) ).
thf(f63855,plain,
( ~ spl0_298
| ~ spl0_989 ),
inference(avatar_contradiction_clause,[],[f63854]) ).
thf(f63858,plain,
( spl0_154
| spl0_33
| spl0_453 ),
inference(avatar_split_clause,[],[f63852,f24368,f549,f7427]) ).
thf(f63896,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_37
| ~ spl0_196 ),
inference(constrained_superposition,[],[f564,f62088]) ).
thf(f63897,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_172
| ~ spl0_196 ),
inference(constrained_superposition,[],[f7768,f62088]) ).
thf(f63899,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_196 ),
inference(constrained_superposition,[],[f192,f62088]) ).
thf(f63902,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_196 ),
inference(constrained_superposition,[],[f43,f62088]) ).
thf(f63905,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_37
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f63896]) ).
thf(f63908,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f63899]) ).
thf(f63909,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f63902]) ).
thf(f63911,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_172
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f63897]) ).
thf(f63915,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| spl0_40
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f63909,f1369]) ).
thf(f63916,plain,
( spl0_306
| ~ spl0_289
| ~ spl0_172
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f63911,f8717,f7767,f15962,f18558]) ).
thf(f63919,plain,
( spl0_304
| spl0_40
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f63915,f8717,f576,f18318]) ).
thf(f63924,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_211 ),
inference(constrained_superposition,[],[f8793,f452]) ).
thf(f63928,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f63924]) ).
thf(f63934,plain,
( spl0_35
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f63928,f8792,f555]) ).
thf(f64442,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ~ spl0_56
| ~ spl0_878 ),
inference(constrained_superposition,[],[f951,f57222]) ).
thf(f64450,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ~ spl0_56
| ~ spl0_878 ),
inference(trivial_inequality_removal,[],[f64442]) ).
thf(f64451,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f32]) ).
thf(f64452,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f36]) ).
thf(f64453,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ z )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f64451]) ).
thf(f64454,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f64452]) ).
thf(f64458,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_232 ),
inference(constrained_superposition,[],[f528,f14323]) ).
thf(f64469,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true ) )
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f64458]) ).
thf(f64512,definition,
( spl0_991
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_991])],[avatar_definition]) ).
thf(f64513,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_991 ),
inference(avatar_component_clause,[],[f64512]) ).
thf(f64565,plain,
( ( $true != $true )
| ~ spl0_57
| ~ spl0_928 ),
inference(constrained_superposition,[],[f60737,f956]) ).
thf(f64572,plain,
( $false
| ~ spl0_57
| ~ spl0_928 ),
inference(trivial_inequality_removal,[],[f64565]) ).
thf(f64573,plain,
( ~ spl0_57
| ~ spl0_928 ),
inference(avatar_contradiction_clause,[],[f64572]) ).
thf(f64640,plain,
( ~ spl0_926
| ~ spl0_56
| ~ spl0_878 ),
inference(avatar_split_clause,[],[f64450,f57221,f950,f60723]) ).
thf(f64701,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f350,f32]) ).
thf(f64703,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f64701]) ).
thf(f64725,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_57
| ~ spl0_158 ),
inference(constrained_superposition,[],[f7515,f956]) ).
thf(f64730,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_57
| ~ spl0_158 ),
inference(trivial_inequality_removal,[],[f64725]) ).
thf(f64733,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_38 ),
inference(avatar_component_clause,[],[f566]) ).
thf(f64735,plain,
( ~ spl0_38
| ~ spl0_57
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f64730,f7514,f955,f566]) ).
thf(f64747,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_232
| ~ spl0_343 ),
inference(constrained_superposition,[],[f22593,f14323]) ).
thf(f64752,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_232
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f64747]) ).
thf(f64886,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) ) )
| ~ spl0_37
| ~ spl0_877 ),
inference(constrained_superposition,[],[f564,f57219]) ).
thf(f64901,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_37
| ~ spl0_877 ),
inference(trivial_inequality_removal,[],[f64886]) ).
thf(f64919,plain,
( spl0_932
| ~ spl0_933
| spl0_743
| ~ spl0_37
| ~ spl0_877 ),
inference(avatar_split_clause,[],[f64901,f57218,f563,f49545,f60806,f60803]) ).
thf(f64920,plain,
( spl0_148
| spl0_149
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f64469,f14322,f7408,f7405]) ).
thf(f64921,plain,
( spl0_157
| ~ spl0_232
| ~ spl0_343 ),
inference(avatar_split_clause,[],[f64752,f22592,f14322,f7438]) ).
thf(f64922,plain,
( spl0_41
| spl0_299
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f63908,f8717,f18299,f598]) ).
thf(f64923,plain,
( spl0_343
| ~ spl0_32
| spl0_149
| ~ spl0_37
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f63905,f8717,f563,f7408,f544,f22592]) ).
thf(f64932,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_38
| ~ spl0_278 ),
inference(constrained_superposition,[],[f64733,f15574]) ).
thf(f64952,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_38
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f64932]) ).
thf(f64962,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_38
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f64952,f28]) ).
thf(f64963,plain,
( spl0_33
| spl0_38
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f64962,f15573,f566,f549]) ).
thf(f64989,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_149
| ~ spl0_462 ),
inference(constrained_superposition,[],[f25051,f7409]) ).
thf(f65008,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_149
| ~ spl0_462 ),
inference(trivial_inequality_removal,[],[f64989]) ).
thf(f65071,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_799 ),
inference(constrained_superposition,[],[f528,f53125]) ).
thf(f65075,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_799 ),
inference(constrained_superposition,[],[f64454,f53125]) ).
thf(f65082,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_799 ),
inference(trivial_inequality_removal,[],[f65071]) ).
thf(f65085,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_799 ),
inference(trivial_inequality_removal,[],[f65075]) ).
thf(f65173,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_57
| ~ spl0_687 ),
inference(constrained_superposition,[],[f42872,f956]) ).
thf(f65180,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_57
| ~ spl0_687 ),
inference(trivial_inequality_removal,[],[f65173]) ).
thf(f65230,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_791
| ~ spl0_991 ),
inference(constrained_superposition,[],[f52638,f64513]) ).
thf(f65234,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_791
| ~ spl0_991 ),
inference(trivial_inequality_removal,[],[f65230]) ).
thf(f65239,plain,
( $false
| ~ spl0_30
| ~ spl0_791
| ~ spl0_991 ),
inference(forward_subsumption_resolution,[],[f65234,f537]) ).
thf(f65240,plain,
( ~ spl0_30
| ~ spl0_791
| ~ spl0_991 ),
inference(avatar_contradiction_clause,[],[f65239]) ).
thf(f65242,plain,
( spl0_743
| spl0_301
| ~ spl0_799 ),
inference(avatar_split_clause,[],[f65082,f53124,f18306,f49545]) ).
thf(f65254,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_685
| ~ spl0_791 ),
inference(constrained_superposition,[],[f52638,f42848]) ).
thf(f65274,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_685
| ~ spl0_791 ),
inference(trivial_inequality_removal,[],[f65254]) ).
thf(f65280,plain,
( $false
| ~ spl0_30
| ~ spl0_685
| ~ spl0_791 ),
inference(forward_subsumption_resolution,[],[f65274,f537]) ).
thf(f65281,plain,
( ~ spl0_30
| ~ spl0_685
| ~ spl0_791 ),
inference(avatar_contradiction_clause,[],[f65280]) ).
thf(f65313,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_346 ),
inference(constrained_superposition,[],[f23272,f75]) ).
thf(f65316,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_346 ),
inference(trivial_inequality_removal,[],[f65313]) ).
thf(f65326,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_346
| ~ spl0_989 ),
inference(forward_subsumption_resolution,[],[f65316,f63698]) ).
thf(f65330,plain,
( ~ spl0_289
| ~ spl0_346
| ~ spl0_989 ),
inference(avatar_split_clause,[],[f65326,f63697,f23271,f15962]) ).
thf(f65357,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_37
| ~ spl0_881 ),
inference(constrained_superposition,[],[f564,f57233]) ).
thf(f65359,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_881 ),
inference(constrained_superposition,[],[f528,f57233]) ).
thf(f65363,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_881 ),
inference(constrained_superposition,[],[f64454,f57233]) ).
thf(f65369,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_881 ),
inference(trivial_inequality_removal,[],[f65359]) ).
thf(f65370,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_881 ),
inference(trivial_inequality_removal,[],[f65363]) ).
thf(f65378,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_37
| ~ spl0_881 ),
inference(trivial_inequality_removal,[],[f65357]) ).
thf(f65492,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_28
| ~ spl0_232 ),
inference(constrained_superposition,[],[f386,f14323]) ).
thf(f65493,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_28
| ~ spl0_877 ),
inference(constrained_superposition,[],[f386,f57219]) ).
thf(f65494,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_28
| ~ spl0_881 ),
inference(constrained_superposition,[],[f386,f57233]) ).
thf(f65495,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_28
| ~ spl0_799 ),
inference(constrained_superposition,[],[f386,f53125]) ).
thf(f65496,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_28
| ~ spl0_858 ),
inference(constrained_superposition,[],[f386,f56302]) ).
thf(f65502,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_28
| ~ spl0_881 ),
inference(trivial_inequality_removal,[],[f65494]) ).
thf(f65503,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_28
| ~ spl0_877 ),
inference(trivial_inequality_removal,[],[f65493]) ).
thf(f65505,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_28
| ~ spl0_799 ),
inference(trivial_inequality_removal,[],[f65495]) ).
thf(f65508,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_28
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f65492]) ).
thf(f65509,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_28
| ~ spl0_858 ),
inference(trivial_inequality_removal,[],[f65496]) ).
thf(f65513,plain,
( spl0_905
| ~ spl0_247
| ~ spl0_28
| ~ spl0_877 ),
inference(avatar_split_clause,[],[f65503,f57218,f385,f14763,f58516]) ).
thf(f65516,definition,
( spl0_996
<=> ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_996])],[avatar_definition]) ).
thf(f65517,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_996 ),
inference(avatar_component_clause,[],[f65516]) ).
thf(f65518,plain,
( spl0_481
| spl0_996
| ~ spl0_28
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f65508,f14322,f385,f65516,f29300]) ).
thf(f65519,plain,
( spl0_903
| ~ spl0_153
| ~ spl0_28
| ~ spl0_858 ),
inference(avatar_split_clause,[],[f65509,f56301,f385,f7423,f58506]) ).
thf(f65522,plain,
( spl0_685
| ~ spl0_153
| ~ spl0_28
| ~ spl0_799 ),
inference(avatar_split_clause,[],[f65505,f53124,f385,f7423,f42847]) ).
thf(f65525,definition,
( spl0_997
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_997])],[avatar_definition]) ).
thf(f65526,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_997 ),
inference(avatar_component_clause,[],[f65525]) ).
thf(f65527,plain,
( spl0_743
| spl0_997
| ~ spl0_881 ),
inference(avatar_split_clause,[],[f65369,f57232,f65525,f49545]) ).
thf(f65531,plain,
( ~ spl0_939
| spl0_685
| ~ spl0_28
| ~ spl0_881 ),
inference(avatar_split_clause,[],[f65502,f57232,f385,f42847,f60838]) ).
thf(f65536,plain,
( ~ spl0_41
| ~ spl0_149
| ~ spl0_462 ),
inference(avatar_split_clause,[],[f65008,f25050,f7408,f598]) ).
thf(f65539,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_910 ),
inference(avatar_component_clause,[],[f58845]) ).
thf(f65576,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_247 ),
inference(constrained_superposition,[],[f14764,f74]) ).
thf(f65581,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_247 ),
inference(trivial_inequality_removal,[],[f65576]) ).
thf(f65584,plain,
( spl0_685
| spl0_247 ),
inference(avatar_split_clause,[],[f65581,f14763,f42847]) ).
thf(f65594,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_996 ),
inference(constrained_superposition,[],[f65517,f74]) ).
thf(f65599,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_996 ),
inference(trivial_inequality_removal,[],[f65594]) ).
thf(f65601,plain,
( spl0_991
| ~ spl0_996 ),
inference(avatar_split_clause,[],[f65599,f65516,f64512]) ).
thf(f65611,plain,
( $false
| ~ spl0_57
| spl0_674 ),
inference(forward_subsumption_resolution,[],[f63302,f956]) ).
thf(f65612,plain,
( ~ spl0_57
| spl0_674 ),
inference(avatar_contradiction_clause,[],[f65611]) ).
thf(f65614,plain,
( spl0_932
| spl0_930
| ~ spl0_244
| ~ spl0_37
| ~ spl0_881 ),
inference(avatar_split_clause,[],[f65378,f57232,f563,f14745,f60796,f60803]) ).
thf(f65616,plain,
( ( $true != $true )
| ~ spl0_3
| ~ spl0_233 ),
inference(constrained_superposition,[],[f101,f14899]) ).
thf(f65617,plain,
( $false
| ~ spl0_3
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f65616]) ).
thf(f65618,plain,
( ~ spl0_3
| ~ spl0_233 ),
inference(avatar_contradiction_clause,[],[f65617]) ).
thf(f65626,plain,
( ~ spl0_6
| ~ spl0_57
| ~ spl0_687 ),
inference(avatar_split_clause,[],[f65180,f42871,f955,f120]) ).
thf(f65628,plain,
( spl0_674
| ~ spl0_151
| ~ spl0_2
| ~ spl0_799 ),
inference(avatar_split_clause,[],[f65085,f53124,f53,f7416,f38906]) ).
thf(f65639,plain,
( spl0_674
| ~ spl0_933
| ~ spl0_2
| ~ spl0_881 ),
inference(avatar_split_clause,[],[f65370,f57232,f53,f60806,f38906]) ).
thf(f65701,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_674
| ~ spl0_687 ),
inference(constrained_superposition,[],[f42872,f38907]) ).
thf(f65718,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_674
| ~ spl0_687 ),
inference(trivial_inequality_removal,[],[f65701]) ).
thf(f65720,plain,
( $false
| ~ spl0_6
| ~ spl0_674
| ~ spl0_687 ),
inference(forward_subsumption_resolution,[],[f65718,f121]) ).
thf(f65721,plain,
( ~ spl0_6
| ~ spl0_674
| ~ spl0_687 ),
inference(avatar_contradiction_clause,[],[f65720]) ).
thf(f65726,plain,
( ( $true != $true )
| spl0_286
| ~ spl0_305 ),
inference(constrained_superposition,[],[f15937,f18322]) ).
thf(f65729,plain,
( $false
| spl0_286
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f65726]) ).
thf(f65730,plain,
( spl0_286
| ~ spl0_305 ),
inference(avatar_contradiction_clause,[],[f65729]) ).
thf(f66073,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_935 ),
inference(constrained_superposition,[],[f31,f60816]) ).
thf(f66075,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X1 ) ) )
| ~ spl0_935 ),
inference(trivial_inequality_removal,[],[f66073]) ).
thf(f66081,plain,
( spl0_928
| spl0_940
| ~ spl0_935 ),
inference(avatar_split_clause,[],[f66075,f60815,f60950,f60736]) ).
thf(f66210,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_468
| ~ spl0_903 ),
inference(constrained_superposition,[],[f26383,f58507]) ).
thf(f66214,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_468
| ~ spl0_903 ),
inference(trivial_inequality_removal,[],[f66210]) ).
thf(f66219,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_468
| ~ spl0_903 ),
inference(forward_subsumption_resolution,[],[f66214,f252]) ).
thf(f66220,plain,
( spl0_888
| ~ spl0_25
| ~ spl0_468
| ~ spl0_903 ),
inference(avatar_split_clause,[],[f66219,f58506,f26382,f251,f57396]) ).
thf(f66221,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_679
| ~ spl0_878 ),
inference(constrained_superposition,[],[f38956,f57222]) ).
thf(f66222,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_138
| ~ spl0_878 ),
inference(constrained_superposition,[],[f5911,f57222]) ).
thf(f66224,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_224
| ~ spl0_878 ),
inference(constrained_superposition,[],[f11744,f57222]) ).
thf(f66228,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_224
| ~ spl0_878 ),
inference(trivial_inequality_removal,[],[f66224]) ).
thf(f66231,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ~ spl0_679
| ~ spl0_878 ),
inference(trivial_inequality_removal,[],[f66221]) ).
thf(f66232,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_138
| ~ spl0_878 ),
inference(trivial_inequality_removal,[],[f66222]) ).
thf(f66234,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_224
| ~ spl0_878 ),
inference(forward_subsumption_resolution,[],[f66228,f28]) ).
thf(f66244,plain,
( spl0_692
| ~ spl0_926
| ~ spl0_224
| ~ spl0_878 ),
inference(avatar_split_clause,[],[f66234,f57221,f11743,f60723,f43173]) ).
thf(f66249,plain,
( ~ spl0_926
| ~ spl0_679
| ~ spl0_878 ),
inference(avatar_split_clause,[],[f66231,f57221,f38955,f60723]) ).
thf(f66250,plain,
( spl0_697
| ~ spl0_926
| ~ spl0_138
| ~ spl0_878 ),
inference(avatar_split_clause,[],[f66232,f57221,f5910,f60723,f43234]) ).
thf(f66255,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_461
| ~ spl0_880 ),
inference(constrained_superposition,[],[f25047,f57230]) ).
thf(f66264,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_461
| ~ spl0_880 ),
inference(trivial_inequality_removal,[],[f66255]) ).
thf(f66266,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_676 ),
inference(avatar_component_clause,[],[f38944]) ).
thf(f66267,plain,
( ~ spl0_676
| spl0_876
| ~ spl0_461
| ~ spl0_880 ),
inference(avatar_split_clause,[],[f66264,f57229,f25046,f57214,f38944]) ).
thf(f66348,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_932 ),
inference(constrained_superposition,[],[f60804,f35]) ).
thf(f66357,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_932 ),
inference(trivial_inequality_removal,[],[f66348]) ).
thf(f66360,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_926
| ~ spl0_932 ),
inference(forward_subsumption_resolution,[],[f66357,f60724]) ).
thf(f66362,plain,
( ~ spl0_790
| spl0_926
| ~ spl0_932 ),
inference(avatar_split_clause,[],[f66360,f60803,f60723,f52498]) ).
thf(f66367,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_65
| ~ spl0_878 ),
inference(constrained_superposition,[],[f1110,f57222]) ).
thf(f66379,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_65
| ~ spl0_878 ),
inference(trivial_inequality_removal,[],[f66367]) ).
thf(f66383,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_65
| spl0_286
| ~ spl0_878 ),
inference(forward_subsumption_resolution,[],[f66379,f15937]) ).
thf(f66597,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_47 ),
inference(constrained_superposition,[],[f719,f35]) ).
thf(f66601,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_47 ),
inference(constrained_superposition,[],[f719,f75]) ).
thf(f66602,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f66601]) ).
thf(f66605,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f66597]) ).
thf(f66608,plain,
( spl0_173
| ~ spl0_190
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f66602,f718,f8108,f7770]) ).
thf(f66609,plain,
( ~ spl0_34
| spl0_52
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f66605,f718,f811,f552]) ).
thf(f66723,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_302 ),
inference(constrained_superposition,[],[f18311,f35]) ).
thf(f66732,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f66723]) ).
thf(f66989,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_267
| ~ spl0_929 ),
inference(constrained_superposition,[],[f60740,f15363]) ).
thf(f67011,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_267
| ~ spl0_929 ),
inference(trivial_inequality_removal,[],[f66989]) ).
thf(f67019,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_267
| ~ spl0_674
| ~ spl0_929 ),
inference(forward_subsumption_resolution,[],[f67011,f38907]) ).
thf(f67028,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_267
| ~ spl0_674
| ~ spl0_929 ),
inference(forward_subsumption_resolution,[],[f67019,f28]) ).
thf(f67031,plain,
( spl0_889
| ~ spl0_267
| ~ spl0_674
| ~ spl0_929 ),
inference(avatar_split_clause,[],[f67028,f60739,f38906,f15362,f57457]) ).
thf(f67936,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_329
| ~ spl0_929 ),
inference(constrained_superposition,[],[f60740,f21950]) ).
thf(f67939,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_329
| ~ spl0_885 ),
inference(constrained_superposition,[],[f57365,f21950]) ).
thf(f67957,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_329
| ~ spl0_885 ),
inference(trivial_inequality_removal,[],[f67939]) ).
thf(f67962,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_329
| ~ spl0_929 ),
inference(trivial_inequality_removal,[],[f67936]) ).
thf(f67964,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_329
| ~ spl0_427
| ~ spl0_885 ),
inference(forward_subsumption_resolution,[],[f67957,f23781]) ).
thf(f67967,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_329
| ~ spl0_929 ),
inference(forward_subsumption_resolution,[],[f67962,f28]) ).
thf(f67968,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_329
| ~ spl0_427
| ~ spl0_885 ),
inference(forward_subsumption_resolution,[],[f67964,f28]) ).
thf(f67970,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_329
| ~ spl0_674
| ~ spl0_929 ),
inference(forward_subsumption_resolution,[],[f67967,f38907]) ).
thf(f67971,plain,
( spl0_889
| ~ spl0_329
| ~ spl0_427
| ~ spl0_885 ),
inference(avatar_split_clause,[],[f67968,f57364,f23780,f21949,f57457]) ).
thf(f67973,plain,
( spl0_907
| ~ spl0_329
| ~ spl0_674
| ~ spl0_929 ),
inference(avatar_split_clause,[],[f67970,f60739,f38906,f21949,f58522]) ).
thf(f68990,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_38
| ~ spl0_269 ),
inference(constrained_superposition,[],[f64733,f15379]) ).
thf(f69009,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_38
| ~ spl0_269 ),
inference(duplicate_literal_removal,[],[f68990]) ).
thf(f69010,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_38
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f69009]) ).
thf(f69019,plain,
( spl0_33
| spl0_38
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f69010,f15378,f566,f549]) ).
thf(f69533,definition,
( spl0_1056
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1056])],[avatar_definition]) ).
thf(f69534,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_1056 ),
inference(avatar_component_clause,[],[f69533]) ).
thf(f69569,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_746 ),
inference(avatar_component_clause,[],[f49561]) ).
thf(f69615,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_176
| spl0_286 ),
inference(constrained_superposition,[],[f15937,f7799]) ).
thf(f69624,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_176
| spl0_286 ),
inference(trivial_inequality_removal,[],[f69615]) ).
thf(f69629,plain,
( spl0_677
| ~ spl0_176
| spl0_286 ),
inference(avatar_split_clause,[],[f69624,f15936,f7798,f38947]) ).
thf(f69638,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_774
| spl0_927 ),
inference(constrained_superposition,[],[f60731,f51254]) ).
thf(f69649,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_774
| spl0_927 ),
inference(trivial_inequality_removal,[],[f69638]) ).
thf(f69657,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_774
| spl0_927 ),
inference(forward_subsumption_resolution,[],[f69649,f28]) ).
thf(f69662,plain,
( spl0_876
| ~ spl0_774
| spl0_927 ),
inference(avatar_split_clause,[],[f69657,f60730,f51253,f57214]) ).
thf(f69663,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ X1 @ z ) )
| ( X0 = X1 ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f64453,f32]) ).
thf(f69666,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f64453,f74]) ).
thf(f69668,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f64453,f452]) ).
thf(f69674,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f69666]) ).
thf(f69676,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f69663]) ).
thf(f69678,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f69668]) ).
thf(f69949,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_697
| ~ spl0_878 ),
inference(constrained_superposition,[],[f57222,f43235]) ).
thf(f70180,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_697
| ~ spl0_878 ),
inference(forward_subsumption_resolution,[],[f69949,f28]) ).
thf(f70234,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_697
| ~ spl0_878 ),
inference(forward_subsumption_resolution,[],[f70180,f29]) ).
thf(f70249,plain,
( spl0_876
| ~ spl0_697
| ~ spl0_878 ),
inference(avatar_split_clause,[],[f70234,f57221,f43234,f57214]) ).
thf(f70262,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_893
| ~ spl0_901 ),
inference(constrained_superposition,[],[f57810,f58302]) ).
thf(f70412,plain,
( spl0_774
| ~ spl0_893
| ~ spl0_901 ),
inference(avatar_split_clause,[],[f70262,f58301,f57809,f51253]) ).
thf(f70779,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( $true != $true )
| ( z = X1 ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f69676,f32]) ).
thf(f70782,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f70779]) ).
thf(f70826,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_940
| ~ spl0_957 ),
inference(constrained_superposition,[],[f60951,f61403]) ).
thf(f70834,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_72
| ~ spl0_957 ),
inference(constrained_superposition,[],[f1375,f61403]) ).
thf(f70857,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_72
| ~ spl0_957 ),
inference(duplicate_literal_removal,[],[f70834]) ).
thf(f70858,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_72
| ~ spl0_957 ),
inference(trivial_inequality_removal,[],[f70857]) ).
thf(f70861,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_940
| ~ spl0_957 ),
inference(trivial_inequality_removal,[],[f70826]) ).
thf(f70871,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_481 ),
inference(avatar_component_clause,[],[f29300]) ).
thf(f70873,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ~ spl0_30
| ~ spl0_72
| ~ spl0_957 ),
inference(forward_subsumption_resolution,[],[f70858,f537]) ).
thf(f70875,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_30
| ~ spl0_940
| ~ spl0_957 ),
inference(forward_subsumption_resolution,[],[f70861,f537]) ).
thf(f70879,plain,
( spl0_57
| ~ spl0_30
| ~ spl0_72
| ~ spl0_957 ),
inference(avatar_split_clause,[],[f70873,f61402,f1374,f536,f955]) ).
thf(f70881,plain,
( spl0_876
| ~ spl0_30
| ~ spl0_940
| ~ spl0_957 ),
inference(avatar_split_clause,[],[f70875,f61402,f60950,f536,f57214]) ).
thf(f71093,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ X3 @ X0 )
= $true )
| ( X0 = X3 )
| ( z = X3 )
| ( $true
= ( r @ X3 @ z ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f31,f70782]) ).
thf(f71097,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2
| spl0_38 ),
inference(constrained_superposition,[],[f64733,f70782]) ).
thf(f71127,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X2 ) )
| ( z = X3 )
| ( X0 = X3 )
| ( $true
= ( r @ X3 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X3 @ X0 )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f71093]) ).
thf(f71130,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2
| spl0_38 ),
inference(trivial_inequality_removal,[],[f71097]) ).
thf(f71136,plain,
( spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f71127,f53,f103,f100]) ).
thf(f71139,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| spl0_38 ),
inference(forward_subsumption_resolution,[],[f71130,f28]) ).
thf(f71145,plain,
( spl0_60
| ~ spl0_2
| spl0_38 ),
inference(avatar_split_clause,[],[f71139,f566,f53,f1014]) ).
thf(f71151,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f31,f1015]) ).
thf(f71161,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_60
| ~ spl0_929 ),
inference(constrained_superposition,[],[f60740,f1015]) ).
thf(f71178,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f71151]) ).
thf(f71192,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_60
| ~ spl0_929 ),
inference(trivial_inequality_removal,[],[f71161]) ).
thf(f71198,plain,
( spl0_44
| spl0_85
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f71178,f1014,f1715,f614]) ).
thf(f71339,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_304 ),
inference(constrained_superposition,[],[f18319,f453]) ).
thf(f71342,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_304 ),
inference(trivial_inequality_removal,[],[f71339]) ).
thf(f71404,plain,
( ( $true != $true )
| ~ spl0_84
| spl0_910 ),
inference(constrained_superposition,[],[f58846,f1649]) ).
thf(f71405,plain,
( ( $true != $true )
| ~ spl0_65
| ~ spl0_84
| spl0_286
| ~ spl0_878 ),
inference(constrained_superposition,[],[f66383,f1649]) ).
thf(f71409,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_43
| ~ spl0_84 ),
inference(constrained_superposition,[],[f612,f1649]) ).
thf(f71411,plain,
( $false
| ~ spl0_65
| ~ spl0_84
| spl0_286
| ~ spl0_878 ),
inference(trivial_inequality_removal,[],[f71405]) ).
thf(f71412,plain,
( ~ spl0_65
| ~ spl0_84
| spl0_286
| ~ spl0_878 ),
inference(avatar_contradiction_clause,[],[f71411]) ).
thf(f71413,plain,
( $false
| ~ spl0_84
| spl0_910 ),
inference(trivial_inequality_removal,[],[f71404]) ).
thf(f71414,plain,
( ~ spl0_84
| spl0_910 ),
inference(avatar_contradiction_clause,[],[f71413]) ).
thf(f71415,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ~ spl0_43
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f71409]) ).
thf(f71422,plain,
( spl0_989
| ~ spl0_43
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f71415,f1648,f611,f63697]) ).
thf(f71425,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_60
| ~ spl0_929 ),
inference(forward_subsumption_resolution,[],[f71192,f28]) ).
thf(f71427,plain,
( ~ spl0_743
| spl0_907
| spl0_876
| ~ spl0_60
| ~ spl0_929 ),
inference(avatar_split_clause,[],[f71425,f60739,f1014,f57214,f58522,f49545]) ).
thf(f71435,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_347 ),
inference(constrained_superposition,[],[f23275,f32]) ).
thf(f71439,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_347 ),
inference(trivial_inequality_removal,[],[f71435]) ).
thf(f71442,plain,
( spl0_743
| spl0_677
| spl0_347 ),
inference(avatar_split_clause,[],[f71439,f23274,f38947,f49545]) ).
thf(f71448,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_743 ),
inference(constrained_superposition,[],[f31,f49546]) ).
thf(f71453,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_743 ),
inference(trivial_inequality_removal,[],[f71448]) ).
thf(f71455,plain,
( spl0_44
| spl0_791
| ~ spl0_743 ),
inference(avatar_split_clause,[],[f71453,f49545,f52637,f614]) ).
thf(f71457,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_72
| ~ spl0_905 ),
inference(constrained_superposition,[],[f1375,f58517]) ).
thf(f71463,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_905 ),
inference(constrained_superposition,[],[f31,f58517]) ).
thf(f71465,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_72
| ~ spl0_905 ),
inference(trivial_inequality_removal,[],[f71457]) ).
thf(f71466,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_905 ),
inference(trivial_inequality_removal,[],[f71463]) ).
thf(f71473,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_30
| ~ spl0_72
| ~ spl0_905 ),
inference(forward_subsumption_resolution,[],[f71465,f537]) ).
thf(f71474,plain,
( spl0_11
| spl0_911
| ~ spl0_905 ),
inference(avatar_split_clause,[],[f71466,f58516,f58912,f158]) ).
thf(f71481,plain,
( spl0_876
| ~ spl0_30
| ~ spl0_72
| ~ spl0_905 ),
inference(avatar_split_clause,[],[f71473,f58516,f1374,f536,f57214]) ).
thf(f71492,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_60
| ~ spl0_688 ),
inference(constrained_superposition,[],[f42875,f1015]) ).
thf(f71497,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_60
| ~ spl0_688 ),
inference(trivial_inequality_removal,[],[f71492]) ).
thf(f71499,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_60
| ~ spl0_688 ),
inference(forward_subsumption_resolution,[],[f71497,f42875]) ).
thf(f71500,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_60
| ~ spl0_688 ),
inference(forward_subsumption_resolution,[],[f71499,f28]) ).
thf(f71501,plain,
( spl0_677
| ~ spl0_60
| ~ spl0_688 ),
inference(avatar_split_clause,[],[f71500,f42874,f1014,f38947]) ).
thf(f71540,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f1646,f75]) ).
thf(f71547,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f71540]) ).
thf(f71548,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_791
| ~ spl0_878 ),
inference(constrained_superposition,[],[f52638,f57222]) ).
thf(f71559,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_791
| ~ spl0_878 ),
inference(trivial_inequality_removal,[],[f71548]) ).
thf(f71569,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_65
| ~ spl0_880 ),
inference(constrained_superposition,[],[f1110,f57230]) ).
thf(f71570,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_880 ),
inference(constrained_superposition,[],[f31,f57230]) ).
thf(f71572,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_880 ),
inference(trivial_inequality_removal,[],[f71570]) ).
thf(f71574,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_65
| ~ spl0_880 ),
inference(trivial_inequality_removal,[],[f71569]) ).
thf(f71578,plain,
( spl0_688
| spl0_929
| ~ spl0_880 ),
inference(avatar_split_clause,[],[f71572,f57229,f60739,f42874]) ).
thf(f71579,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_792 ),
inference(avatar_component_clause,[],[f52698]) ).
thf(f71581,plain,
( ~ spl0_792
| spl0_926
| ~ spl0_65
| ~ spl0_880 ),
inference(avatar_split_clause,[],[f71574,f57229,f1109,f60723,f52698]) ).
thf(f71583,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_876
| ~ spl0_911 ),
inference(constrained_superposition,[],[f58913,f57215]) ).
thf(f71589,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_876
| ~ spl0_911 ),
inference(trivial_inequality_removal,[],[f71583]) ).
thf(f71593,plain,
( $false
| ~ spl0_6
| ~ spl0_876
| ~ spl0_911 ),
inference(forward_subsumption_resolution,[],[f71589,f121]) ).
thf(f71594,plain,
( ~ spl0_6
| ~ spl0_876
| ~ spl0_911 ),
inference(avatar_contradiction_clause,[],[f71593]) ).
thf(f71697,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_113
| ~ spl0_791
| ~ spl0_878 ),
inference(constrained_superposition,[],[f71559,f2973]) ).
thf(f71698,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_113
| spl0_792 ),
inference(constrained_superposition,[],[f71579,f2973]) ).
thf(f71702,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_113
| ~ spl0_791
| ~ spl0_878 ),
inference(trivial_inequality_removal,[],[f71697]) ).
thf(f71706,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_113
| spl0_792 ),
inference(trivial_inequality_removal,[],[f71698]) ).
thf(f71711,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_113
| spl0_792 ),
inference(forward_subsumption_resolution,[],[f71706,f28]) ).
thf(f71714,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_113
| spl0_674
| spl0_792 ),
inference(forward_subsumption_resolution,[],[f71711,f63302]) ).
thf(f71716,plain,
( spl0_677
| ~ spl0_113
| spl0_674
| spl0_792 ),
inference(avatar_split_clause,[],[f71714,f52698,f38906,f2972,f38947]) ).
thf(f72216,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f64703,f32]) ).
thf(f72219,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f72216]) ).
thf(f72988,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_30
| ~ spl0_324 ),
inference(constrained_superposition,[],[f21682,f537]) ).
thf(f72991,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_30
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f72988]) ).
thf(f73440,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f72219,f32]) ).
thf(f73442,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true != $true )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_27 ),
inference(duplicate_literal_removal,[],[f73440]) ).
thf(f73443,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f73442]) ).
thf(f73452,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_209 ),
inference(constrained_superposition,[],[f8784,f35]) ).
thf(f73454,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f73452]) ).
thf(f73466,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_27
| spl0_676 ),
inference(constrained_superposition,[],[f66266,f73443]) ).
thf(f73487,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_27
| spl0_676 ),
inference(trivial_inequality_removal,[],[f73466]) ).
thf(f73495,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_27
| spl0_676 ),
inference(forward_subsumption_resolution,[],[f73487,f28]) ).
thf(f73501,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_27
| spl0_286
| spl0_676 ),
inference(forward_subsumption_resolution,[],[f73495,f15937]) ).
thf(f73505,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_27
| spl0_286
| spl0_676
| spl0_678 ),
inference(forward_subsumption_resolution,[],[f73501,f57116]) ).
thf(f73507,plain,
( $false
| ~ spl0_27
| spl0_286
| spl0_674
| spl0_676
| spl0_678 ),
inference(forward_subsumption_resolution,[],[f73505,f63302]) ).
thf(f73508,plain,
( ~ spl0_27
| spl0_286
| spl0_674
| spl0_676
| spl0_678 ),
inference(avatar_contradiction_clause,[],[f73507]) ).
thf(f73948,plain,
( ( ( s @ z )
!= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_857 ),
inference(avatar_component_clause,[],[f56294]) ).
thf(f73984,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_857 ),
inference(extensionality_resolution,[],[f76,f73948]) ).
thf(f73985,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_857 ),
inference(extensionality_resolution,[],[f76,f73948]) ).
thf(f73991,definition,
( spl0_1106
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1106])],[avatar_definition]) ).
thf(f73992,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_1106 ),
inference(avatar_component_clause,[],[f73991]) ).
thf(f73994,definition,
( spl0_1107
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1107])],[avatar_definition]) ).
thf(f73995,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_1107 ),
inference(avatar_component_clause,[],[f73994]) ).
thf(f73996,plain,
( spl0_1106
| spl0_1107
| spl0_857 ),
inference(avatar_split_clause,[],[f73984,f56294,f73994,f73991]) ).
thf(f74012,definition,
( spl0_1112
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1112])],[avatar_definition]) ).
thf(f74013,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1112 ),
inference(avatar_component_clause,[],[f74012]) ).
thf(f74015,definition,
( spl0_1113
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1113])],[avatar_definition]) ).
thf(f74016,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1113 ),
inference(avatar_component_clause,[],[f74015]) ).
thf(f74017,plain,
( spl0_1112
| spl0_1113
| spl0_857 ),
inference(avatar_split_clause,[],[f73985,f56294,f74015,f74012]) ).
thf(f74018,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ~ spl0_341
| ~ spl0_1107 ),
inference(constrained_superposition,[],[f22166,f73995]) ).
thf(f74027,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ~ spl0_341
| ~ spl0_1107 ),
inference(trivial_inequality_removal,[],[f74018]) ).
thf(f74033,plain,
( $false
| ~ spl0_341
| ~ spl0_926
| ~ spl0_1107 ),
inference(forward_subsumption_resolution,[],[f74027,f60827]) ).
thf(f74034,plain,
( ~ spl0_341
| ~ spl0_926
| ~ spl0_1107 ),
inference(avatar_contradiction_clause,[],[f74033]) ).
thf(f74053,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_47
| ~ spl0_1106 ),
inference(constrained_superposition,[],[f719,f73992]) ).
thf(f74056,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_28
| ~ spl0_1106 ),
inference(constrained_superposition,[],[f386,f73992]) ).
thf(f74064,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_1106 ),
inference(constrained_superposition,[],[f64453,f73992]) ).
thf(f74078,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_28
| ~ spl0_1106 ),
inference(trivial_inequality_removal,[],[f74056]) ).
thf(f74081,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_1106 ),
inference(trivial_inequality_removal,[],[f74064]) ).
thf(f74087,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_47
| ~ spl0_1106 ),
inference(trivial_inequality_removal,[],[f74053]) ).
thf(f74104,plain,
( spl0_905
| ~ spl0_153
| ~ spl0_28
| ~ spl0_1106 ),
inference(avatar_split_clause,[],[f74078,f73991,f385,f7423,f58516]) ).
thf(f74125,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_113
| ~ spl0_791
| ~ spl0_878 ),
inference(forward_subsumption_resolution,[],[f71702,f28]) ).
thf(f74128,plain,
( ~ spl0_196
| spl0_930
| ~ spl0_47
| ~ spl0_1106 ),
inference(avatar_split_clause,[],[f74087,f73991,f718,f60796,f8717]) ).
thf(f74129,plain,
( spl0_978
| spl0_233
| ~ spl0_34
| ~ spl0_302 ),
inference(avatar_split_clause,[],[f66732,f18310,f552,f14325,f62980]) ).
thf(f74148,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_1106 ),
inference(forward_subsumption_resolution,[],[f74081,f28]) ).
thf(f74154,plain,
( spl0_41
| spl0_186
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f71547,f1645,f7856,f598]) ).
thf(f74155,plain,
( spl0_154
| ~ spl0_32
| spl0_343
| ~ spl0_304 ),
inference(avatar_split_clause,[],[f71342,f18318,f22592,f544,f7427]) ).
thf(f74170,plain,
( spl0_907
| spl0_876
| ~ spl0_113
| ~ spl0_791
| ~ spl0_878 ),
inference(avatar_split_clause,[],[f74125,f57221,f52637,f2972,f57214,f58522]) ).
thf(f74178,plain,
( spl0_876
| ~ spl0_151
| ~ spl0_2
| ~ spl0_1106 ),
inference(avatar_split_clause,[],[f74148,f73991,f53,f7416,f57214]) ).
thf(f74188,plain,
( ( $true != $true )
| ~ spl0_19
| spl0_676 ),
inference(constrained_superposition,[],[f66266,f230]) ).
thf(f74204,plain,
( $false
| ~ spl0_19
| spl0_676 ),
inference(trivial_inequality_removal,[],[f74188]) ).
thf(f74205,plain,
( ~ spl0_19
| spl0_676 ),
inference(avatar_contradiction_clause,[],[f74204]) ).
thf(f74239,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f31,f8711]) ).
thf(f74244,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f74239]) ).
thf(f74251,plain,
( spl0_462
| spl0_159
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f74244,f8710,f7590,f25050]) ).
thf(f74264,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_674 ),
inference(constrained_superposition,[],[f31,f38907]) ).
thf(f74265,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_674 ),
inference(trivial_inequality_removal,[],[f74264]) ).
thf(f74268,plain,
( spl0_3
| spl0_679
| ~ spl0_674 ),
inference(avatar_split_clause,[],[f74265,f38906,f38955,f100]) ).
thf(f74272,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_286 ),
inference(constrained_superposition,[],[f31,f43151]) ).
thf(f74273,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f74272]) ).
thf(f74277,plain,
( spl0_679
| spl0_688
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f74273,f15936,f42874,f38955]) ).
thf(f74369,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_209
| spl0_743 ),
inference(constrained_superposition,[],[f56278,f73454]) ).
thf(f74375,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_209
| spl0_743 ),
inference(trivial_inequality_removal,[],[f74369]) ).
thf(f74500,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f338,f35]) ).
thf(f74506,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f74500]) ).
thf(f74602,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X2 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_86 ),
inference(constrained_superposition,[],[f31,f1723]) ).
thf(f74603,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_86
| spl0_427 ),
inference(constrained_superposition,[],[f63022,f1723]) ).
thf(f74611,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_86
| spl0_427 ),
inference(trivial_inequality_removal,[],[f74603]) ).
thf(f74617,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f74602]) ).
thf(f74620,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_86
| spl0_427 ),
inference(forward_subsumption_resolution,[],[f74611,f28]) ).
thf(f74622,plain,
( spl0_3
| spl0_87
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f74617,f1722,f1751,f100]) ).
thf(f74623,plain,
( spl0_234
| spl0_235
| ~ spl0_86
| spl0_427 ),
inference(avatar_split_clause,[],[f74620,f23780,f1722,f14360,f14355]) ).
thf(f74626,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_158
| ~ spl0_1107 ),
inference(constrained_superposition,[],[f7515,f73995]) ).
thf(f74627,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ~ spl0_462
| ~ spl0_1107 ),
inference(constrained_superposition,[],[f25051,f73995]) ).
thf(f74631,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ~ spl0_462
| ~ spl0_1107 ),
inference(trivial_inequality_removal,[],[f74627]) ).
thf(f74634,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_158
| ~ spl0_1107 ),
inference(trivial_inequality_removal,[],[f74626]) ).
thf(f74639,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_113
| ~ spl0_158
| ~ spl0_1107 ),
inference(constrained_superposition,[],[f74634,f2973]) ).
thf(f74640,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_113
| ~ spl0_158
| ~ spl0_1107 ),
inference(trivial_inequality_removal,[],[f74639]) ).
thf(f74641,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_113
| ~ spl0_158
| ~ spl0_1107 ),
inference(forward_subsumption_resolution,[],[f74640,f28]) ).
thf(f74642,plain,
( spl0_907
| spl0_876
| ~ spl0_113
| ~ spl0_158
| ~ spl0_1107 ),
inference(avatar_split_clause,[],[f74641,f73994,f7514,f2972,f57214,f58522]) ).
thf(f74643,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_209
| spl0_743 ),
inference(forward_subsumption_resolution,[],[f74375,f28]) ).
thf(f74653,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f69678,f28]) ).
thf(f74654,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_30
| ~ spl0_324 ),
inference(forward_subsumption_resolution,[],[f72991,f28]) ).
thf(f74659,plain,
( spl0_394
| spl0_25
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f74506,f337,f251,f23622]) ).
thf(f74660,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f69674,f28]) ).
thf(f74664,plain,
( spl0_286
| ~ spl0_209
| spl0_743 ),
inference(avatar_split_clause,[],[f74643,f49545,f8783,f15936]) ).
thf(f74666,plain,
( spl0_38
| spl0_35
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f74653,f53,f555,f566]) ).
thf(f74667,plain,
( spl0_60
| ~ spl0_30
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f74654,f21681,f536,f1014]) ).
thf(f74672,plain,
( spl0_7
| spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f74660,f53,f120,f126]) ).
thf(f74684,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f31,f567]) ).
thf(f74685,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f74684]) ).
thf(f74686,plain,
( spl0_189
| spl0_3
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f74685,f566,f100,f7999]) ).
thf(f74707,plain,
( $false
| ~ spl0_11
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f8711,f159]) ).
thf(f74708,plain,
( ~ spl0_11
| ~ spl0_194 ),
inference(avatar_contradiction_clause,[],[f74707]) ).
thf(f74714,plain,
( ~ spl0_927
| ~ spl0_462
| ~ spl0_1107 ),
inference(avatar_split_clause,[],[f74631,f73994,f25050,f60730]) ).
thf(f74720,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f31,f577]) ).
thf(f74721,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f74720]) ).
thf(f74723,plain,
( spl0_189
| spl0_44
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f74721,f576,f614,f7999]) ).
thf(f74737,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_97 ),
inference(constrained_superposition,[],[f31,f2424]) ).
thf(f74742,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f74737]) ).
thf(f74744,plain,
( spl0_463
| spl0_11
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f74742,f2423,f158,f25054]) ).
thf(f74773,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f31,f121]) ).
thf(f74774,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f74773]) ).
thf(f74776,plain,
( spl0_23
| spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f74774,f120,f100,f244]) ).
thf(f74802,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_149 ),
inference(constrained_superposition,[],[f31,f7409]) ).
thf(f74804,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f74802]) ).
thf(f74805,plain,
( spl0_158
| spl0_44
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f74804,f7408,f614,f7514]) ).
thf(f74806,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_154 ),
inference(constrained_superposition,[],[f31,f7428]) ).
thf(f74807,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f74806]) ).
thf(f74808,plain,
( spl0_159
| spl0_158
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f74807,f7427,f7514,f7590]) ).
thf(f74829,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_149
| ~ spl0_449 ),
inference(constrained_superposition,[],[f24059,f7409]) ).
thf(f74836,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_149
| ~ spl0_449 ),
inference(trivial_inequality_removal,[],[f74829]) ).
thf(f74839,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_149
| ~ spl0_449 ),
inference(forward_subsumption_resolution,[],[f74836,f28]) ).
thf(f74842,plain,
( $false
| ~ spl0_40
| ~ spl0_149
| ~ spl0_449 ),
inference(forward_subsumption_resolution,[],[f74839,f577]) ).
thf(f74843,plain,
( ~ spl0_40
| ~ spl0_149
| ~ spl0_449 ),
inference(avatar_contradiction_clause,[],[f74842]) ).
thf(f75047,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X1 ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_926 ),
inference(constrained_superposition,[],[f31,f60827]) ).
thf(f75048,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X1 ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_926 ),
inference(trivial_inequality_removal,[],[f75047]) ).
thf(f75754,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_318
| spl0_927 ),
inference(constrained_superposition,[],[f60731,f21153]) ).
thf(f75762,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_318
| spl0_927 ),
inference(trivial_inequality_removal,[],[f75754]) ).
thf(f75769,plain,
( $false
| ~ spl0_318
| spl0_927 ),
inference(forward_subsumption_resolution,[],[f75762,f28]) ).
thf(f75770,plain,
( ~ spl0_318
| spl0_927 ),
inference(avatar_contradiction_clause,[],[f75769]) ).
thf(f75793,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_882 ),
inference(constrained_superposition,[],[f31,f57237]) ).
thf(f75794,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_882 ),
inference(trivial_inequality_removal,[],[f75793]) ).
thf(f75797,plain,
( spl0_886
| spl0_885
| ~ spl0_882 ),
inference(avatar_split_clause,[],[f75794,f57236,f57364,f57367]) ).
thf(f75841,plain,
( $false
| ~ spl0_928
| ~ spl0_1112 ),
inference(forward_subsumption_resolution,[],[f74013,f60737]) ).
thf(f75842,plain,
( ~ spl0_928
| ~ spl0_1112 ),
inference(avatar_contradiction_clause,[],[f75841]) ).
thf(f75850,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_1113 ),
inference(constrained_superposition,[],[f64454,f74016]) ).
thf(f75865,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_1113 ),
inference(trivial_inequality_removal,[],[f75850]) ).
thf(f75874,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_2
| spl0_427
| ~ spl0_1113 ),
inference(forward_subsumption_resolution,[],[f75865,f63022]) ).
thf(f75881,plain,
( ~ spl0_933
| ~ spl0_2
| spl0_427
| ~ spl0_1113 ),
inference(avatar_split_clause,[],[f75874,f74015,f23780,f53,f60806]) ).
thf(f75883,plain,
( spl0_928
| spl0_879
| ~ spl0_926 ),
inference(avatar_split_clause,[],[f75048,f60723,f57225,f60736]) ).
thf(f75910,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f1646,f35]) ).
thf(f75918,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f75910]) ).
thf(f75933,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_878
| ~ spl0_1056 ),
inference(constrained_superposition,[],[f69534,f57222]) ).
thf(f75936,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_878 ),
inference(constrained_superposition,[],[f31,f57222]) ).
thf(f75938,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_878
| ~ spl0_1056 ),
inference(trivial_inequality_removal,[],[f75933]) ).
thf(f75939,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X1 ) ) )
| ~ spl0_878 ),
inference(trivial_inequality_removal,[],[f75936]) ).
thf(f75941,plain,
( $false
| ~ spl0_878
| ~ spl0_1056
| ~ spl0_1107 ),
inference(forward_subsumption_resolution,[],[f75938,f73995]) ).
thf(f75942,plain,
( ~ spl0_878
| ~ spl0_1056
| ~ spl0_1107 ),
inference(avatar_contradiction_clause,[],[f75941]) ).
thf(f75943,plain,
( spl0_928
| spl0_929
| ~ spl0_878 ),
inference(avatar_split_clause,[],[f75939,f57221,f60739,f60736]) ).
thf(f75944,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| spl0_746 ),
inference(constrained_superposition,[],[f49562,f450]) ).
thf(f75945,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ z ) )
| spl0_746 ),
inference(trivial_inequality_removal,[],[f75944]) ).
thf(f75946,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_746 ),
inference(forward_subsumption_resolution,[],[f75945,f28]) ).
thf(f75947,plain,
( spl0_799
| spl0_746 ),
inference(avatar_split_clause,[],[f75946,f49561,f53124]) ).
thf(f75957,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_153 ),
inference(constrained_superposition,[],[f7424,f32]) ).
thf(f75960,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_153 ),
inference(trivial_inequality_removal,[],[f75957]) ).
thf(f75962,plain,
( spl0_234
| spl0_481
| spl0_153 ),
inference(avatar_split_clause,[],[f75960,f7423,f29300,f14355]) ).
thf(f75996,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_746 ),
inference(constrained_superposition,[],[f31,f69569]) ).
thf(f75997,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_746 ),
inference(trivial_inequality_removal,[],[f75996]) ).
thf(f75999,plain,
( spl0_688
| spl0_1056
| ~ spl0_746 ),
inference(avatar_split_clause,[],[f75997,f49561,f69533,f42874]) ).
thf(f76002,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_883 ),
inference(constrained_superposition,[],[f31,f57241]) ).
thf(f76003,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_883 ),
inference(trivial_inequality_removal,[],[f76002]) ).
thf(f76004,plain,
( spl0_885
| spl0_159
| ~ spl0_883 ),
inference(avatar_split_clause,[],[f76003,f57240,f7590,f57364]) ).
thf(f76005,plain,
( $false
| ~ spl0_44
| ~ spl0_935 ),
inference(forward_subsumption_resolution,[],[f60816,f615]) ).
thf(f76006,plain,
( ~ spl0_44
| ~ spl0_935 ),
inference(avatar_contradiction_clause,[],[f76005]) ).
thf(f76025,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_1106 ),
inference(constrained_superposition,[],[f528,f73992]) ).
thf(f76046,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_1106 ),
inference(trivial_inequality_removal,[],[f76025]) ).
thf(f76052,plain,
( spl0_301
| spl0_930
| ~ spl0_1106 ),
inference(avatar_split_clause,[],[f76046,f73991,f60796,f18306]) ).
thf(f76060,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_343 ),
inference(constrained_superposition,[],[f22593,f35]) ).
thf(f76067,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f76060]) ).
thf(f76073,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_743
| ~ spl0_1056 ),
inference(constrained_superposition,[],[f69534,f49546]) ).
thf(f76076,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_743
| ~ spl0_1056 ),
inference(trivial_inequality_removal,[],[f76073]) ).
thf(f76079,plain,
( $false
| ~ spl0_149
| ~ spl0_743
| ~ spl0_1056 ),
inference(forward_subsumption_resolution,[],[f76076,f7409]) ).
thf(f76080,plain,
( ~ spl0_149
| ~ spl0_743
| ~ spl0_1056 ),
inference(avatar_contradiction_clause,[],[f76079]) ).
thf(f76081,plain,
( $false
| ~ spl0_38
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f567,f615]) ).
thf(f76082,plain,
( ~ spl0_38
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f76081]) ).
thf(f76083,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_233
| ~ spl0_343 ),
inference(forward_subsumption_resolution,[],[f76067,f14326]) ).
thf(f76084,plain,
( spl0_40
| spl0_211
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f75918,f1645,f8792,f576]) ).
thf(f76085,plain,
( $false
| ~ spl0_44
| ~ spl0_792 ),
inference(forward_subsumption_resolution,[],[f52699,f615]) ).
thf(f76086,plain,
( ~ spl0_44
| ~ spl0_792 ),
inference(avatar_contradiction_clause,[],[f76085]) ).
thf(f76087,plain,
( ~ spl0_34
| spl0_233
| ~ spl0_343 ),
inference(avatar_split_clause,[],[f76083,f22592,f14325,f552]) ).
thf(f76096,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_233 ),
inference(constrained_superposition,[],[f31,f14899]) ).
thf(f76097,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f76096]) ).
thf(f76098,plain,
( spl0_159
| spl0_341
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f76097,f14325,f22165,f7590]) ).
thf(f76099,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ z @ X1 )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_427 ),
inference(constrained_superposition,[],[f31,f23781]) ).
thf(f76100,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_427 ),
inference(trivial_inequality_removal,[],[f76099]) ).
thf(f76101,plain,
( spl0_3
| spl0_341
| ~ spl0_427 ),
inference(avatar_split_clause,[],[f76100,f23780,f22165,f100]) ).
thf(f76117,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_685 ),
inference(constrained_superposition,[],[f31,f42848]) ).
thf(f76118,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_685 ),
inference(trivial_inequality_removal,[],[f76117]) ).
thf(f76120,plain,
( spl0_11
| spl0_687
| ~ spl0_685 ),
inference(avatar_split_clause,[],[f76118,f42847,f42871,f158]) ).
thf(f76136,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_799 ),
inference(constrained_superposition,[],[f1593,f53125]) ).
thf(f76142,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_799 ),
inference(constrained_superposition,[],[f43,f53125]) ).
thf(f76146,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_799 ),
inference(trivial_inequality_removal,[],[f76136]) ).
thf(f76154,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_799 ),
inference(trivial_inequality_removal,[],[f76142]) ).
thf(f76160,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| spl0_286
| ~ spl0_799 ),
inference(forward_subsumption_resolution,[],[f76154,f15937]) ).
thf(f76163,plain,
( spl0_304
| spl0_286
| ~ spl0_799 ),
inference(avatar_split_clause,[],[f76160,f53124,f15936,f18318]) ).
thf(f76167,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_876 ),
inference(constrained_superposition,[],[f31,f57215]) ).
thf(f76168,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_876 ),
inference(trivial_inequality_removal,[],[f76167]) ).
thf(f76169,plain,
( spl0_879
| spl0_3
| ~ spl0_876 ),
inference(avatar_split_clause,[],[f76168,f57214,f100,f57225]) ).
thf(f76219,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_679
| ~ spl0_685 ),
inference(constrained_superposition,[],[f38956,f42848]) ).
thf(f76223,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_679
| ~ spl0_685 ),
inference(trivial_inequality_removal,[],[f76219]) ).
thf(f76225,plain,
( $false
| ~ spl0_25
| ~ spl0_679
| ~ spl0_685 ),
inference(forward_subsumption_resolution,[],[f76223,f252]) ).
thf(f76226,plain,
( ~ spl0_25
| ~ spl0_679
| ~ spl0_685 ),
inference(avatar_contradiction_clause,[],[f76225]) ).
thf(f76228,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f217,f35]) ).
thf(f76231,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f76228]) ).
thf(f76237,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_851 ),
inference(constrained_superposition,[],[f56262,f37]) ).
thf(f76241,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_851 ),
inference(trivial_inequality_removal,[],[f76237]) ).
thf(f76244,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_851
| spl0_857 ),
inference(forward_subsumption_resolution,[],[f76241,f73948]) ).
thf(f76246,plain,
( spl0_892
| spl0_851
| spl0_857 ),
inference(avatar_split_clause,[],[f76244,f56294,f56261,f57805]) ).
thf(f76325,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_930 ),
inference(constrained_superposition,[],[f31,f60797]) ).
thf(f76326,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_930 ),
inference(trivial_inequality_removal,[],[f76325]) ).
thf(f76327,plain,
( spl0_940
| spl0_44
| ~ spl0_930 ),
inference(avatar_split_clause,[],[f76326,f60796,f614,f60950]) ).
thf(f76328,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_158
| ~ spl0_1107 ),
inference(constrained_superposition,[],[f7515,f73995]) ).
thf(f76331,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_158
| ~ spl0_1107 ),
inference(trivial_inequality_removal,[],[f76328]) ).
thf(f76334,plain,
( $false
| ~ spl0_84
| ~ spl0_158
| ~ spl0_1107 ),
inference(forward_subsumption_resolution,[],[f76331,f1649]) ).
thf(f76335,plain,
( ~ spl0_84
| ~ spl0_158
| ~ spl0_1107 ),
inference(avatar_contradiction_clause,[],[f76334]) ).
thf(f76339,plain,
( spl0_302
| spl0_792
| ~ spl0_799 ),
inference(avatar_split_clause,[],[f76146,f53124,f52698,f18310]) ).
thf(f76357,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_910 ),
inference(constrained_superposition,[],[f31,f65539]) ).
thf(f76358,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_910 ),
inference(trivial_inequality_removal,[],[f76357]) ).
thf(f76359,plain,
( spl0_886
| spl0_897
| ~ spl0_910 ),
inference(avatar_split_clause,[],[f76358,f58845,f58003,f57367]) ).
thf(f76362,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_879
| ~ spl0_1112 ),
inference(constrained_superposition,[],[f57226,f74013]) ).
thf(f76367,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_879
| ~ spl0_1112 ),
inference(trivial_inequality_removal,[],[f76362]) ).
thf(f76370,plain,
( $false
| ~ spl0_233
| ~ spl0_879
| ~ spl0_1112 ),
inference(forward_subsumption_resolution,[],[f76367,f14899]) ).
thf(f76371,plain,
( ~ spl0_233
| ~ spl0_879
| ~ spl0_1112 ),
inference(avatar_contradiction_clause,[],[f76370]) ).
thf(f76458,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_881
| ~ spl0_997 ),
inference(constrained_superposition,[],[f65526,f57233]) ).
thf(f76481,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) )
| ~ spl0_881
| ~ spl0_997 ),
inference(trivial_inequality_removal,[],[f76458]) ).
thf(f76485,plain,
( spl0_932
| ~ spl0_347
| ~ spl0_881
| ~ spl0_997 ),
inference(avatar_split_clause,[],[f76481,f65525,f57232,f23274,f60803]) ).
thf(f76643,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_28
| ~ spl0_1113 ),
inference(constrained_superposition,[],[f386,f74016]) ).
thf(f76652,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_28
| ~ spl0_1113 ),
inference(trivial_inequality_removal,[],[f76643]) ).
thf(f76660,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_28
| spl0_481
| ~ spl0_1113 ),
inference(forward_subsumption_resolution,[],[f76652,f70871]) ).
thf(f76661,plain,
( ~ spl0_939
| ~ spl0_28
| spl0_481
| ~ spl0_1113 ),
inference(avatar_split_clause,[],[f76660,f74015,f29300,f385,f60838]) ).
thf(f76666,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_940
| ~ spl0_1112 ),
inference(constrained_superposition,[],[f60951,f74013]) ).
thf(f76671,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_940
| ~ spl0_1112 ),
inference(trivial_inequality_removal,[],[f76666]) ).
thf(f76673,plain,
( $false
| ~ spl0_154
| ~ spl0_940
| ~ spl0_1112 ),
inference(forward_subsumption_resolution,[],[f76671,f7428]) ).
thf(f76674,plain,
( ~ spl0_154
| ~ spl0_940
| ~ spl0_1112 ),
inference(avatar_contradiction_clause,[],[f76673]) ).
thf(f76675,plain,
( spl0_25
| spl0_27
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f76231,f216,f349,f251]) ).
thf(f76685,plain,
( ( $true != $true )
| ~ spl0_19
| spl0_41 ),
inference(constrained_superposition,[],[f7693,f230]) ).
thf(f76696,plain,
( $false
| ~ spl0_19
| spl0_41 ),
inference(trivial_inequality_removal,[],[f76685]) ).
thf(f76697,plain,
( ~ spl0_19
| spl0_41 ),
inference(avatar_contradiction_clause,[],[f76696]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f55]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f122]) ).
cnf(s11,plain,
( spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f221]) ).
cnf(s20,plain,
( spl0_19
| spl0_26 ),
inference(sat_conversion,[],[f339]) ).
cnf(s23,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f353]) ).
cnf(s25,plain,
( ~ spl0_1
| ~ spl0_19
| spl0_23 ),
inference(sat_conversion,[],[f358]) ).
cnf(s26,plain,
( ~ spl0_5
| ~ spl0_12
| spl0_28 ),
inference(sat_conversion,[],[f387]) ).
cnf(s27,plain,
( spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f538]) ).
cnf(s31,plain,
( spl0_37
| spl0_38 ),
inference(sat_conversion,[],[f568]) ).
cnf(s36,plain,
( spl0_32
| spl0_38 ),
inference(sat_conversion,[],[f585]) ).
cnf(s38,plain,
( ~ spl0_1
| ~ spl0_19
| ~ spl0_23 ),
inference(sat_conversion,[],[f596]) ).
cnf(s42,plain,
( ~ spl0_26
| spl0_28 ),
inference(sat_conversion,[],[f625]) ).
cnf(s45,plain,
( ~ spl0_6
| ~ spl0_11 ),
inference(sat_conversion,[],[f655]) ).
cnf(s46,plain,
( spl0_34
| spl0_40 ),
inference(sat_conversion,[],[f656]) ).
cnf(s49,plain,
( ~ spl0_3
| ~ spl0_25 ),
inference(sat_conversion,[],[f663]) ).
cnf(s50,plain,
( ~ spl0_3
| ~ spl0_40 ),
inference(sat_conversion,[],[f665]) ).
cnf(s53,plain,
( ~ spl0_3
| ~ spl0_34
| ~ spl0_47
| spl0_48 ),
inference(sat_conversion,[],[f735]) ).
cnf(s55,plain,
( ~ spl0_19
| ~ spl0_48 ),
inference(sat_conversion,[],[f747]) ).
cnf(s56,plain,
( ~ spl0_19
| ~ spl0_38
| spl0_43 ),
inference(sat_conversion,[],[f752]) ).
cnf(s57,plain,
( ~ spl0_6
| ~ spl0_38
| ~ spl0_43 ),
inference(sat_conversion,[],[f756]) ).
cnf(s60,plain,
( spl0_25
| spl0_50 ),
inference(sat_conversion,[],[f793]) ).
cnf(s66,plain,
( spl0_52
| spl0_54 ),
inference(sat_conversion,[],[f877]) ).
cnf(s67,plain,
( spl0_11
| ~ spl0_51
| spl0_55 ),
inference(sat_conversion,[],[f910]) ).
cnf(s70,plain,
( ~ spl0_7
| spl0_10
| ~ spl0_19 ),
inference(sat_conversion,[],[f938]) ).
cnf(s72,plain,
( ~ spl0_7
| ~ spl0_30
| ~ spl0_49
| spl0_57 ),
inference(sat_conversion,[],[f957]) ).
cnf(s73,plain,
( ~ spl0_30
| ~ spl0_49
| ~ spl0_51
| spl0_58 ),
inference(sat_conversion,[],[f961]) ).
cnf(s75,plain,
( spl0_30
| spl0_40
| ~ spl0_51 ),
inference(sat_conversion,[],[f967]) ).
cnf(s76,plain,
( ~ spl0_7
| spl0_30
| spl0_38 ),
inference(sat_conversion,[],[f968]) ).
cnf(s81,plain,
( ~ spl0_2
| spl0_6
| spl0_11
| spl0_62 ),
inference(sat_conversion,[],[f1037]) ).
cnf(s84,plain,
( spl0_44
| ~ spl0_52
| spl0_65 ),
inference(sat_conversion,[],[f1111]) ).
cnf(s87,plain,
( ~ spl0_7
| spl0_56
| ~ spl0_58 ),
inference(sat_conversion,[],[f1135]) ).
cnf(s96,plain,
( ~ spl0_35
| spl0_44
| spl0_72 ),
inference(sat_conversion,[],[f1376]) ).
cnf(s99,plain,
( ~ spl0_30
| ~ spl0_44 ),
inference(sat_conversion,[],[f1394]) ).
cnf(s101,plain,
( spl0_40
| ~ spl0_44
| ~ spl0_51 ),
inference(sat_conversion,[],[f1403]) ).
cnf(s102,plain,
( ~ spl0_7
| ~ spl0_44 ),
inference(sat_conversion,[],[f1405]) ).
cnf(s104,plain,
( ~ spl0_2
| spl0_6
| spl0_33
| ~ spl0_44 ),
inference(sat_conversion,[],[f1409]) ).
cnf(s113,plain,
( spl0_83
| spl0_84 ),
inference(sat_conversion,[],[f1650]) ).
cnf(s114,plain,
( spl0_40
| spl0_60
| ~ spl0_83 ),
inference(sat_conversion,[],[f1680]) ).
cnf(s128,plain,
( ~ spl0_19
| ~ spl0_43
| ~ spl0_84 ),
inference(sat_conversion,[],[f2058]) ).
cnf(s135,plain,
( ~ spl0_7
| spl0_38
| ~ spl0_85
| spl0_95 ),
inference(sat_conversion,[],[f2288]) ).
cnf(s136,plain,
( spl0_40
| ~ spl0_51
| ~ spl0_85
| spl0_95 ),
inference(sat_conversion,[],[f2291]) ).
cnf(s158,plain,
( spl0_40
| spl0_44
| ~ spl0_83
| spl0_108 ),
inference(sat_conversion,[],[f2923]) ).
cnf(s196,plain,
( spl0_40
| ~ spl0_51
| ~ spl0_108
| spl0_132 ),
inference(sat_conversion,[],[f4756]) ).
cnf(s220,plain,
( ~ spl0_10
| ~ spl0_19
| ~ spl0_47
| spl0_149
| spl0_157 ),
inference(sat_conversion,[],[f7440]) ).
cnf(s222,plain,
( ~ spl0_10
| ~ spl0_19
| ~ spl0_149 ),
inference(sat_conversion,[],[f7518]) ).
cnf(s228,plain,
( spl0_44
| ~ spl0_157
| spl0_160 ),
inference(sat_conversion,[],[f7678]) ).
cnf(s229,plain,
( ~ spl0_10
| ~ spl0_19
| ~ spl0_157 ),
inference(sat_conversion,[],[f7680]) ).
cnf(s231,plain,
( ~ spl0_32
| ~ spl0_37
| spl0_47 ),
inference(sat_conversion,[],[f7685]) ).
cnf(s232,plain,
( spl0_47
| ~ spl0_83 ),
inference(sat_conversion,[],[f7686]) ).
cnf(s233,plain,
( ~ spl0_29
| spl0_47
| ~ spl0_80 ),
inference(sat_conversion,[],[f7687]) ).
cnf(s246,plain,
( spl0_41
| ~ spl0_83
| spl0_171 ),
inference(sat_conversion,[],[f7765]) ).
cnf(s247,plain,
( spl0_172
| spl0_173 ),
inference(sat_conversion,[],[f7772]) ).
cnf(s250,plain,
( ~ spl0_12
| spl0_40
| spl0_41
| ~ spl0_83 ),
inference(sat_conversion,[],[f7783]) ).
cnf(s269,plain,
( spl0_41
| ~ spl0_83
| spl0_186 ),
inference(sat_conversion,[],[f7858]) ).
cnf(s284,plain,
( spl0_40
| ~ spl0_41
| ~ spl0_55
| ~ spl0_83
| spl0_176 ),
inference(sat_conversion,[],[f7904]) ).
cnf(s322,plain,
( ~ spl0_41
| ~ spl0_62
| spl0_188 ),
inference(sat_conversion,[],[f8031]) ).
cnf(s354,plain,
( spl0_33
| spl0_41
| spl0_190 ),
inference(sat_conversion,[],[f8738]) ).
cnf(s361,plain,
( ~ spl0_41
| ~ spl0_52
| ~ spl0_55
| spl0_58 ),
inference(sat_conversion,[],[f8762]) ).
cnf(s362,plain,
( ~ spl0_40
| ~ spl0_52
| ~ spl0_56
| spl0_58 ),
inference(sat_conversion,[],[f8763]) ).
cnf(s367,plain,
( spl0_40
| ~ spl0_83
| spl0_209 ),
inference(sat_conversion,[],[f8785]) ).
cnf(s368,plain,
( spl0_41
| spl0_190 ),
inference(sat_conversion,[],[f8786]) ).
cnf(s388,plain,
( ~ spl0_30
| ~ spl0_51
| spl0_58
| ~ spl0_65 ),
inference(sat_conversion,[],[f8954]) ).
cnf(s397,plain,
( spl0_11
| spl0_25
| ~ spl0_26
| spl0_215 ),
inference(sat_conversion,[],[f9098]) ).
cnf(s401,plain,
( spl0_11
| spl0_25
| ~ spl0_26
| spl0_218 ),
inference(sat_conversion,[],[f10082]) ).
cnf(s405,plain,
( spl0_11
| spl0_25
| ~ spl0_26
| spl0_222 ),
inference(sat_conversion,[],[f11046]) ).
cnf(s408,plain,
( ~ spl0_2
| spl0_3
| spl0_6
| ~ spl0_215
| spl0_224 ),
inference(sat_conversion,[],[f11745]) ).
cnf(s419,plain,
( ~ spl0_56
| spl0_232
| ~ spl0_233 ),
inference(sat_conversion,[],[f14327]) ).
cnf(s467,plain,
~ spl0_33,
inference(sat_conversion,[],[f14824]) ).
cnf(s482,plain,
( ~ spl0_47
| spl0_149
| spl0_157
| ~ spl0_232 ),
inference(sat_conversion,[],[f14905]) ).
cnf(s483,plain,
( ~ spl0_148
| ~ spl0_196
| spl0_197
| ~ spl0_232 ),
inference(sat_conversion,[],[f14906]) ).
cnf(s555,plain,
~ spl0_234,
inference(sat_conversion,[],[f15501]) ).
cnf(s604,plain,
( ~ spl0_176
| spl0_233
| spl0_235 ),
inference(sat_conversion,[],[f15610]) ).
cnf(s630,plain,
~ spl0_235,
inference(sat_conversion,[],[f15992]) ).
cnf(s640,plain,
( ~ spl0_51
| ~ spl0_132
| spl0_176 ),
inference(sat_conversion,[],[f16007]) ).
cnf(s679,plain,
( ~ spl0_12
| spl0_194
| ~ spl0_304
| spl0_306 ),
inference(sat_conversion,[],[f18560]) ).
cnf(s686,plain,
( spl0_149
| spl0_196
| spl0_235 ),
inference(sat_conversion,[],[f19123]) ).
cnf(s687,plain,
( spl0_33
| spl0_149
| spl0_196 ),
inference(sat_conversion,[],[f19125]) ).
cnf(s689,plain,
( ~ spl0_50
| spl0_233
| ~ spl0_306 ),
inference(sat_conversion,[],[f19143]) ).
cnf(s720,plain,
( ~ spl0_40
| ~ spl0_41
| ~ spl0_114
| spl0_194
| spl0_233
| spl0_234
| spl0_235 ),
inference(sat_conversion,[],[f20747]) ).
cnf(s727,plain,
( ~ spl0_2
| spl0_113
| ~ spl0_220
| spl0_315 ),
inference(sat_conversion,[],[f20921]) ).
cnf(s730,plain,
( ~ spl0_38
| ~ spl0_220
| spl0_315 ),
inference(sat_conversion,[],[f20925]) ).
cnf(s743,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_17
| spl0_167
| ~ spl0_215
| ~ spl0_307
| spl0_318 ),
inference(sat_conversion,[],[f21159]) ).
cnf(s756,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_40
| ~ spl0_54
| spl0_114 ),
inference(sat_conversion,[],[f21918]) ).
cnf(s798,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_11
| spl0_278 ),
inference(sat_conversion,[],[f22029]) ).
cnf(s800,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_11
| spl0_248 ),
inference(sat_conversion,[],[f22034]) ).
cnf(s808,plain,
( ~ spl0_1
| spl0_233 ),
inference(sat_conversion,[],[f22067]) ).
cnf(s809,plain,
( ~ spl0_1
| spl0_25 ),
inference(sat_conversion,[],[f22069]) ).
cnf(s814,plain,
( spl0_3
| ~ spl0_11
| ~ spl0_17
| spl0_339 ),
inference(sat_conversion,[],[f22137]) ).
cnf(s819,plain,
( ~ spl0_11
| ~ spl0_41 ),
inference(sat_conversion,[],[f22158]) ).
cnf(s821,plain,
( spl0_30
| spl0_80 ),
inference(sat_conversion,[],[f22163]) ).
cnf(s824,plain,
( ~ spl0_11
| spl0_48
| ~ spl0_173 ),
inference(sat_conversion,[],[f22169]) ).
cnf(s828,plain,
( spl0_44
| ~ spl0_48
| spl0_49 ),
inference(sat_conversion,[],[f22287]) ).
cnf(s951,plain,
( ~ spl0_154
| ~ spl0_189
| ~ spl0_233 ),
inference(sat_conversion,[],[f23344]) ).
cnf(s959,plain,
( ~ spl0_40
| ~ spl0_48
| ~ spl0_339 ),
inference(sat_conversion,[],[f23397]) ).
cnf(s964,plain,
( spl0_25
| ~ spl0_26
| spl0_351 ),
inference(sat_conversion,[],[f23418]) ).
cnf(s1041,plain,
( spl0_25
| ~ spl0_26
| spl0_423 ),
inference(sat_conversion,[],[f23763]) ).
cnf(s1058,plain,
( spl0_151
| spl0_427 ),
inference(sat_conversion,[],[f23804]) ).
cnf(s1070,plain,
( ~ spl0_25
| ~ spl0_26
| ~ spl0_189
| spl0_309 ),
inference(sat_conversion,[],[f23834]) ).
cnf(s1076,plain,
( spl0_25
| ~ spl0_26
| spl0_441 ),
inference(sat_conversion,[],[f23852]) ).
cnf(s1096,plain,
( ~ spl0_7
| ~ spl0_159 ),
inference(sat_conversion,[],[f23978]) ).
cnf(s1102,plain,
( ~ spl0_40
| ~ spl0_48
| ~ spl0_341 ),
inference(sat_conversion,[],[f24017]) ).
cnf(s1104,plain,
( ~ spl0_157
| spl0_300 ),
inference(sat_conversion,[],[f24023]) ).
cnf(s1148,plain,
( spl0_194
| spl0_289 ),
inference(sat_conversion,[],[f24391]) ).
cnf(s1185,plain,
( ~ spl0_38
| ~ spl0_158
| spl0_234
| ~ spl0_278 ),
inference(sat_conversion,[],[f24678]) ).
cnf(s1189,plain,
( ~ spl0_2
| ~ spl0_232
| spl0_427
| spl0_457 ),
inference(sat_conversion,[],[f24846]) ).
cnf(s1192,plain,
( ~ spl0_38
| ~ spl0_160
| ~ spl0_457 ),
inference(sat_conversion,[],[f24866]) ).
cnf(s1193,plain,
( spl0_3
| ~ spl0_457
| spl0_458 ),
inference(sat_conversion,[],[f24870]) ).
cnf(s1195,plain,
( ~ spl0_38
| ~ spl0_158
| ~ spl0_427 ),
inference(sat_conversion,[],[f24885]) ).
cnf(s1209,plain,
( ~ spl0_197
| ~ spl0_289
| spl0_298 ),
inference(sat_conversion,[],[f25024]) ).
cnf(s1211,plain,
( ~ spl0_7
| spl0_11
| spl0_461 ),
inference(sat_conversion,[],[f25048]) ).
cnf(s1217,plain,
( ~ spl0_80
| spl0_154
| ~ spl0_299
| spl0_343 ),
inference(sat_conversion,[],[f25183]) ).
cnf(s1340,plain,
( ~ spl0_394
| spl0_423 ),
inference(sat_conversion,[],[f26255]) ).
cnf(s1344,plain,
( spl0_3
| ~ spl0_66
| spl0_468 ),
inference(sat_conversion,[],[f26384]) ).
cnf(s1445,plain,
( ~ spl0_186
| spl0_309 ),
inference(sat_conversion,[],[f27279]) ).
cnf(s1685,plain,
( ~ spl0_7
| ~ spl0_30
| spl0_57
| ~ spl0_72 ),
inference(sat_conversion,[],[f29270]) ).
cnf(s1690,plain,
( ~ spl0_51
| ~ spl0_76
| spl0_97
| ~ spl0_189 ),
inference(sat_conversion,[],[f29292]) ).
cnf(s1703,plain,
( spl0_153
| spl0_481 ),
inference(sat_conversion,[],[f29350]) ).
cnf(s1704,plain,
( ~ spl0_30
| spl0_57
| ~ spl0_72
| ~ spl0_423 ),
inference(sat_conversion,[],[f29351]) ).
cnf(s1726,plain,
( ~ spl0_30
| spl0_66
| ~ spl0_72
| ~ spl0_336 ),
inference(sat_conversion,[],[f29401]) ).
cnf(s1735,plain,
( spl0_44
| spl0_220
| ~ spl0_309 ),
inference(sat_conversion,[],[f29818]) ).
cnf(s1837,plain,
( spl0_3
| ~ spl0_40
| ~ spl0_224
| ~ spl0_300
| spl0_540 ),
inference(sat_conversion,[],[f30902]) ).
cnf(s1876,plain,
( ~ spl0_2
| spl0_6
| spl0_550 ),
inference(sat_conversion,[],[f31898]) ).
cnf(s1990,plain,
( ~ spl0_2
| spl0_3
| spl0_6
| ~ spl0_62
| spl0_74 ),
inference(sat_conversion,[],[f33793]) ).
cnf(s2362,plain,
( ~ spl0_2
| ~ spl0_17
| spl0_414
| ~ spl0_461 ),
inference(sat_conversion,[],[f39857]) ).
cnf(s2363,plain,
( ~ spl0_2
| spl0_6
| spl0_402
| ~ spl0_461 ),
inference(sat_conversion,[],[f39858]) ).
cnf(s2364,plain,
( spl0_3
| spl0_116
| ~ spl0_414 ),
inference(sat_conversion,[],[f39934]) ).
cnf(s2365,plain,
( ~ spl0_2
| ~ spl0_17
| ~ spl0_215
| spl0_372 ),
inference(sat_conversion,[],[f40193]) ).
cnf(s2366,plain,
( spl0_3
| spl0_138
| ~ spl0_372 ),
inference(sat_conversion,[],[f40234]) ).
cnf(s2417,plain,
( ~ spl0_194
| spl0_232
| ~ spl0_463 ),
inference(sat_conversion,[],[f42836]) ).
cnf(s2419,plain,
( ~ spl0_315
| ~ spl0_674
| spl0_677
| spl0_678
| spl0_685 ),
inference(sat_conversion,[],[f42849]) ).
cnf(s2424,plain,
( ~ spl0_676
| spl0_687
| spl0_688 ),
inference(sat_conversion,[],[f42876]) ).
cnf(s2428,plain,
( ~ spl0_40
| spl0_234
| spl0_235
| ~ spl0_309
| ~ spl0_341
| spl0_481 ),
inference(sat_conversion,[],[f42897]) ).
cnf(s2431,plain,
( ~ spl0_40
| ~ spl0_309
| spl0_677
| spl0_678
| ~ spl0_679
| spl0_685 ),
inference(sat_conversion,[],[f42901]) ).
cnf(s2439,plain,
( ~ spl0_26
| spl0_30
| spl0_76 ),
inference(sat_conversion,[],[f42917]) ).
cnf(s2448,plain,
( ~ spl0_674
| ~ spl0_688 ),
inference(sat_conversion,[],[f43073]) ).
cnf(s2451,plain,
( spl0_286
| ~ spl0_441
| spl0_678
| ~ spl0_688 ),
inference(sat_conversion,[],[f43152]) ).
cnf(s2476,plain,
( ~ spl0_309
| spl0_677
| spl0_678
| ~ spl0_688 ),
inference(sat_conversion,[],[f43227]) ).
cnf(s2501,plain,
( ~ spl0_40
| ~ spl0_149
| ~ spl0_341 ),
inference(sat_conversion,[],[f45792]) ).
cnf(s2506,plain,
( ~ spl0_40
| ~ spl0_74
| ~ spl0_149
| spl0_269 ),
inference(sat_conversion,[],[f45803]) ).
cnf(s2560,plain,
( spl0_86
| ~ spl0_95
| ~ spl0_336 ),
inference(sat_conversion,[],[f47217]) ).
cnf(s2561,plain,
( ~ spl0_95
| spl0_329
| ~ spl0_423 ),
inference(sat_conversion,[],[f47219]) ).
cnf(s2568,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_95
| spl0_329 ),
inference(sat_conversion,[],[f47230]) ).
cnf(s2640,plain,
( spl0_44
| ~ spl0_171
| spl0_307 ),
inference(sat_conversion,[],[f49935]) ).
cnf(s2687,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_167
| spl0_248
| ~ spl0_706 ),
inference(sat_conversion,[],[f51256]) ).
cnf(s2719,plain,
( ~ spl0_40
| ~ spl0_47
| spl0_149
| ~ spl0_194
| ~ spl0_222
| spl0_305
| ~ spl0_458 ),
inference(sat_conversion,[],[f52411]) ).
cnf(s2720,plain,
( ~ spl0_40
| ~ spl0_47
| spl0_149
| ~ spl0_194
| ~ spl0_222
| spl0_286
| ~ spl0_679 ),
inference(sat_conversion,[],[f52412]) ).
cnf(s2727,plain,
( ~ spl0_286
| ~ spl0_301
| ~ spl0_341
| spl0_346
| ~ spl0_347 ),
inference(sat_conversion,[],[f52501]) ).
cnf(s2729,plain,
( ~ spl0_47
| ~ spl0_196
| ~ spl0_286
| ~ spl0_341
| spl0_743 ),
inference(sat_conversion,[],[f52504]) ).
cnf(s2732,plain,
( ~ spl0_40
| ~ spl0_679
| ~ spl0_743 ),
inference(sat_conversion,[],[f52627]) ).
cnf(s2733,plain,
( ~ spl0_41
| ~ spl0_687
| ~ spl0_743 ),
inference(sat_conversion,[],[f52632]) ).
cnf(s2752,plain,
( ~ spl0_40
| ~ spl0_540
| spl0_695
| ~ spl0_743 ),
inference(sat_conversion,[],[f52678]) ).
cnf(s2755,plain,
( ~ spl0_346
| ~ spl0_453
| spl0_792 ),
inference(sat_conversion,[],[f52700]) ).
cnf(s2759,plain,
( ~ spl0_41
| ~ spl0_47
| ~ spl0_55
| spl0_149
| ~ spl0_194
| ~ spl0_222
| spl0_286 ),
inference(sat_conversion,[],[f52817]) ).
cnf(s2785,plain,
~ spl0_677,
inference(sat_conversion,[],[f53139]) ).
cnf(s2807,plain,
( spl0_57
| ~ spl0_427
| ~ spl0_695 ),
inference(sat_conversion,[],[f53692]) ).
cnf(s2858,plain,
( spl0_244
| spl0_674 ),
inference(sat_conversion,[],[f53856]) ).
cnf(s2862,plain,
( spl0_347
| spl0_743 ),
inference(sat_conversion,[],[f53894]) ).
cnf(s2869,plain,
( ~ spl0_189
| ~ spl0_286
| ~ spl0_792 ),
inference(sat_conversion,[],[f53968]) ).
cnf(s2870,plain,
( spl0_688
| spl0_791
| ~ spl0_792 ),
inference(sat_conversion,[],[f53970]) ).
cnf(s2886,plain,
( ~ spl0_188
| spl0_674
| spl0_678
| ~ spl0_743 ),
inference(sat_conversion,[],[f54088]) ).
cnf(s2905,plain,
( ~ spl0_38
| ~ spl0_86
| spl0_677
| spl0_678
| ~ spl0_791 ),
inference(sat_conversion,[],[f54263]) ).
cnf(s2937,plain,
~ spl0_678,
inference(sat_conversion,[],[f54636]) ).
cnf(s3040,plain,
( spl0_3
| ~ spl0_692
| spl0_836 ),
inference(sat_conversion,[],[f55452]) ).
cnf(s3041,plain,
( spl0_3
| ~ spl0_694
| spl0_837 ),
inference(sat_conversion,[],[f55489]) ).
cnf(s3136,plain,
( spl0_678
| spl0_877
| spl0_878 ),
inference(sat_conversion,[],[f57223]) ).
cnf(s3138,plain,
( spl0_678
| spl0_880
| spl0_881 ),
inference(sat_conversion,[],[f57234]) ).
cnf(s3139,plain,
( spl0_678
| spl0_858
| spl0_882 ),
inference(sat_conversion,[],[f57238]) ).
cnf(s3140,plain,
( spl0_678
| spl0_883
| spl0_884 ),
inference(sat_conversion,[],[f57245]) ).
cnf(s3181,plain,
~ spl0_889,
inference(sat_conversion,[],[f57743]) ).
cnf(s3206,plain,
( ~ spl0_40
| ~ spl0_87
| spl0_888
| spl0_889
| ~ spl0_892 ),
inference(sat_conversion,[],[f58018]) ).
cnf(s3242,plain,
~ spl0_888,
inference(sat_conversion,[],[f58426]) ).
cnf(s3291,plain,
( ~ spl0_315
| ~ spl0_876
| spl0_905
| spl0_906
| spl0_907 ),
inference(sat_conversion,[],[f58524]) ).
cnf(s3293,plain,
( spl0_234
| spl0_235
| ~ spl0_315
| ~ spl0_427
| spl0_481 ),
inference(sat_conversion,[],[f58527]) ).
cnf(s3305,plain,
~ spl0_907,
inference(sat_conversion,[],[f58843]) ).
cnf(s3342,plain,
~ spl0_906,
inference(sat_conversion,[],[f59299]) ).
cnf(s3392,plain,
( ~ spl0_233
| ~ spl0_837
| ~ spl0_883
| spl0_902 ),
inference(sat_conversion,[],[f59602]) ).
cnf(s3407,plain,
( ~ spl0_83
| spl0_149
| spl0_235
| ~ spl0_884
| spl0_889
| spl0_892 ),
inference(sat_conversion,[],[f59683]) ).
cnf(s3408,plain,
( ~ spl0_47
| spl0_149
| ~ spl0_851
| ~ spl0_884 ),
inference(sat_conversion,[],[f59684]) ).
cnf(s3423,plain,
( ~ spl0_40
| ~ spl0_836
| ~ spl0_892
| spl0_902 ),
inference(sat_conversion,[],[f59812]) ).
cnf(s3449,plain,
( ~ spl0_233
| ~ spl0_341
| ~ spl0_902 ),
inference(sat_conversion,[],[f60070]) ).
cnf(s3476,plain,
( ~ spl0_7
| ~ spl0_886 ),
inference(sat_conversion,[],[f60347]) ).
cnf(s3512,plain,
( ~ spl0_47
| ~ spl0_347
| ~ spl0_877
| spl0_930 ),
inference(sat_conversion,[],[f60825]) ).
cnf(s3515,plain,
( ~ spl0_83
| spl0_677
| spl0_743
| ~ spl0_877
| spl0_907
| spl0_930 ),
inference(sat_conversion,[],[f60835]) ).
cnf(s3518,plain,
( ~ spl0_40
| ~ spl0_879
| ~ spl0_930 ),
inference(sat_conversion,[],[f60948]) ).
cnf(s3528,plain,
( spl0_876
| spl0_933 ),
inference(sat_conversion,[],[f60972]) ).
cnf(s3534,plain,
( ~ spl0_41
| ~ spl0_461
| spl0_876
| ~ spl0_930 ),
inference(sat_conversion,[],[f60982]) ).
cnf(s3536,plain,
( ~ spl0_2
| ~ spl0_244
| spl0_876
| ~ spl0_877 ),
inference(sat_conversion,[],[f60983]) ).
cnf(s3545,plain,
( ~ spl0_25
| ~ spl0_30
| ~ spl0_189 ),
inference(sat_conversion,[],[f61031]) ).
cnf(s3593,plain,
( spl0_25
| ~ spl0_28
| spl0_51 ),
inference(sat_conversion,[],[f61131]) ).
cnf(s3607,plain,
( ~ spl0_4
| ~ spl0_25
| spl0_324 ),
inference(sat_conversion,[],[f61152]) ).
cnf(s3609,plain,
( ~ spl0_26
| spl0_30
| spl0_33
| spl0_309 ),
inference(sat_conversion,[],[f61183]) ).
cnf(s3614,plain,
( ~ spl0_25
| ~ spl0_341
| ~ spl0_481 ),
inference(sat_conversion,[],[f61207]) ).
cnf(s3619,plain,
( ~ spl0_25
| ~ spl0_74
| spl0_269
| ~ spl0_481 ),
inference(sat_conversion,[],[f61218]) ).
cnf(s3625,plain,
( ~ spl0_2
| spl0_38
| spl0_674
| spl0_677
| spl0_743 ),
inference(sat_conversion,[],[f61236]) ).
cnf(s3629,plain,
( ~ spl0_2
| spl0_6
| spl0_336 ),
inference(sat_conversion,[],[f61252]) ).
cnf(s3630,plain,
( ~ spl0_2
| spl0_38
| spl0_149
| spl0_235
| spl0_427 ),
inference(sat_conversion,[],[f61268]) ).
cnf(s3701,plain,
( ~ spl0_2
| spl0_6
| spl0_957 ),
inference(sat_conversion,[],[f61404]) ).
cnf(s3709,plain,
( ~ spl0_2
| spl0_6
| spl0_194
| spl0_427 ),
inference(sat_conversion,[],[f61430]) ).
cnf(s3716,plain,
( ~ spl0_2
| spl0_6
| spl0_17 ),
inference(sat_conversion,[],[f61442]) ).
cnf(s3717,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_43
| spl0_113 ),
inference(sat_conversion,[],[f61443]) ).
cnf(s3736,plain,
( ~ spl0_19
| spl0_194 ),
inference(sat_conversion,[],[f61499]) ).
cnf(s3742,plain,
( ~ spl0_19
| ~ spl0_23
| spl0_147 ),
inference(sat_conversion,[],[f61574]) ).
cnf(s3757,plain,
( ~ spl0_58
| spl0_286 ),
inference(sat_conversion,[],[f61642]) ).
cnf(s3758,plain,
( ~ spl0_58
| spl0_926 ),
inference(sat_conversion,[],[f61644]) ).
cnf(s3762,plain,
( ~ spl0_58
| spl0_233 ),
inference(sat_conversion,[],[f61656]) ).
cnf(s3770,plain,
( spl0_233
| spl0_450 ),
inference(sat_conversion,[],[f61667]) ).
cnf(s3828,plain,
( ~ spl0_286
| ~ spl0_341
| spl0_799 ),
inference(sat_conversion,[],[f62105]) ).
cnf(s3829,plain,
( spl0_7
| ~ spl0_394 ),
inference(sat_conversion,[],[f62118]) ).
cnf(s3834,plain,
( ~ spl0_43
| ~ spl0_84
| ~ spl0_194 ),
inference(sat_conversion,[],[f62150]) ).
cnf(s3837,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_43
| spl0_57
| ~ spl0_84 ),
inference(sat_conversion,[],[f62158]) ).
cnf(s3838,plain,
( spl0_11
| spl0_462
| ~ spl0_481 ),
inference(sat_conversion,[],[f62177]) ).
cnf(s3856,plain,
( ~ spl0_2
| spl0_427
| ~ spl0_462
| spl0_706 ),
inference(sat_conversion,[],[f62404]) ).
cnf(s3862,plain,
( ~ spl0_30
| ~ spl0_158
| ~ spl0_481 ),
inference(sat_conversion,[],[f62504]) ).
cnf(s3866,plain,
( ~ spl0_30
| ~ spl0_158
| spl0_233
| spl0_234
| ~ spl0_441 ),
inference(sat_conversion,[],[f62513]) ).
cnf(s3882,plain,
( ~ spl0_286
| ~ spl0_879
| ~ spl0_880 ),
inference(sat_conversion,[],[f62796]) ).
cnf(s3891,plain,
( ~ spl0_38
| ~ spl0_847
| ~ spl0_897 ),
inference(sat_conversion,[],[f62881]) ).
cnf(s3894,plain,
( ~ spl0_38
| ~ spl0_402
| ~ spl0_897
| spl0_901 ),
inference(sat_conversion,[],[f62888]) ).
cnf(s3898,plain,
( ~ spl0_54
| ~ spl0_196
| ~ spl0_450
| spl0_978 ),
inference(sat_conversion,[],[f62982]) ).
cnf(s3909,plain,
( spl0_267
| ~ spl0_402
| spl0_427 ),
inference(sat_conversion,[],[f63046]) ).
cnf(s3910,plain,
( ~ spl0_38
| ~ spl0_876
| ~ spl0_940 ),
inference(sat_conversion,[],[f63074]) ).
cnf(s3911,plain,
( ~ spl0_30
| ~ spl0_905
| ~ spl0_940 ),
inference(sat_conversion,[],[f63081]) ).
cnf(s3918,plain,
( ~ spl0_674
| ~ spl0_876
| ~ spl0_929 ),
inference(sat_conversion,[],[f63141]) ).
cnf(s3922,plain,
( ~ spl0_441
| ~ spl0_685
| spl0_906
| spl0_926
| ~ spl0_929 ),
inference(sat_conversion,[],[f63155]) ).
cnf(s3923,plain,
( ~ spl0_351
| ~ spl0_685
| spl0_906
| spl0_926
| ~ spl0_929 ),
inference(sat_conversion,[],[f63156]) ).
cnf(s3924,plain,
( ~ spl0_876
| ~ spl0_928 ),
inference(sat_conversion,[],[f63179]) ).
cnf(s3925,plain,
( ~ spl0_905
| ~ spl0_928 ),
inference(sat_conversion,[],[f63191]) ).
cnf(s3929,plain,
( ~ spl0_441
| spl0_906
| spl0_926
| ~ spl0_928 ),
inference(sat_conversion,[],[f63200]) ).
cnf(s3940,plain,
( ~ spl0_932
| spl0_935
| ~ spl0_984 ),
inference(sat_conversion,[],[f63271]) ).
cnf(s3943,plain,
( spl0_677
| spl0_792
| spl0_984 ),
inference(sat_conversion,[],[f63283]) ).
cnf(s3949,plain,
( spl0_286
| spl0_790 ),
inference(sat_conversion,[],[f63300]) ).
cnf(s3950,plain,
( ~ spl0_12
| spl0_194
| ~ spl0_978 ),
inference(sat_conversion,[],[f63301]) ).
cnf(s3954,plain,
( ~ spl0_190
| spl0_194
| ~ spl0_343 ),
inference(sat_conversion,[],[f63306]) ).
cnf(s3965,plain,
( spl0_286
| ~ spl0_441
| spl0_678
| spl0_685 ),
inference(sat_conversion,[],[f63335]) ).
cnf(s3972,plain,
( ~ spl0_215
| ~ spl0_550
| spl0_674
| spl0_876
| ~ spl0_878
| spl0_906 ),
inference(sat_conversion,[],[f63344]) ).
cnf(s3973,plain,
( ~ spl0_2
| spl0_6
| spl0_674
| spl0_685 ),
inference(sat_conversion,[],[f63345]) ).
cnf(s3974,plain,
( ~ spl0_2
| spl0_6
| spl0_847
| spl0_893 ),
inference(sat_conversion,[],[f63346]) ).
cnf(s3975,plain,
( spl0_286
| ~ spl0_351
| spl0_678
| spl0_685 ),
inference(sat_conversion,[],[f63347]) ).
cnf(s3976,plain,
( ~ spl0_218
| spl0_286
| ~ spl0_550
| spl0_678
| spl0_876
| ~ spl0_878
| spl0_906 ),
inference(sat_conversion,[],[f63348]) ).
cnf(s3977,plain,
( ~ spl0_32
| spl0_154
| ~ spl0_978 ),
inference(sat_conversion,[],[f63349]) ).
cnf(s3980,plain,
( ~ spl0_685
| ~ spl0_905
| ~ spl0_929 ),
inference(sat_conversion,[],[f63354]) ).
cnf(s3982,plain,
( ~ spl0_25
| ~ spl0_879
| ~ spl0_905 ),
inference(sat_conversion,[],[f63356]) ).
cnf(s3987,plain,
( spl0_905
| spl0_906
| spl0_939 ),
inference(sat_conversion,[],[f63363]) ).
cnf(s3989,plain,
( spl0_3
| ~ spl0_248
| spl0_449 ),
inference(sat_conversion,[],[f63393]) ).
cnf(s3992,plain,
( ~ spl0_1
| spl0_926 ),
inference(sat_conversion,[],[f63406]) ).
cnf(s3996,plain,
( ~ spl0_159
| ~ spl0_481 ),
inference(sat_conversion,[],[f63447]) ).
cnf(s4003,plain,
( ~ spl0_28
| spl0_30
| ~ spl0_153
| ~ spl0_196 ),
inference(sat_conversion,[],[f63465]) ).
cnf(s4017,plain,
( ~ spl0_116
| spl0_694
| ~ spl0_878
| ~ spl0_926 ),
inference(sat_conversion,[],[f63483]) ).
cnf(s4029,plain,
( ~ spl0_40
| ~ spl0_147 ),
inference(sat_conversion,[],[f63509]) ).
cnf(s4035,plain,
( ~ spl0_233
| ~ spl0_257 ),
inference(sat_conversion,[],[f63527]) ).
cnf(s4038,plain,
( ~ spl0_23
| ~ spl0_194
| ~ spl0_233 ),
inference(sat_conversion,[],[f63557]) ).
cnf(s4039,plain,
( ~ spl0_44
| ~ spl0_154 ),
inference(sat_conversion,[],[f63559]) ).
cnf(s4040,plain,
( ~ spl0_44
| ~ spl0_84 ),
inference(sat_conversion,[],[f63565]) ).
cnf(s4041,plain,
( ~ spl0_149
| ~ spl0_159 ),
inference(sat_conversion,[],[f63567]) ).
cnf(s4047,plain,
( spl0_3
| spl0_56
| ~ spl0_57 ),
inference(sat_conversion,[],[f63622]) ).
cnf(s4053,plain,
( ~ spl0_84
| spl0_257
| ~ spl0_449 ),
inference(sat_conversion,[],[f63691]) ).
cnf(s4054,plain,
( spl0_11
| ~ spl0_30
| spl0_43 ),
inference(sat_conversion,[],[f63692]) ).
cnf(s4055,plain,
( ~ spl0_6
| ~ spl0_57
| ~ spl0_911 ),
inference(sat_conversion,[],[f63693]) ).
cnf(s4074,plain,
~ spl0_857,
inference(sat_conversion,[],[f63839]) ).
cnf(s4079,plain,
( ~ spl0_298
| ~ spl0_989 ),
inference(sat_conversion,[],[f63855]) ).
cnf(s4082,plain,
( spl0_33
| spl0_154
| spl0_453 ),
inference(sat_conversion,[],[f63858]) ).
cnf(s4091,plain,
( ~ spl0_172
| ~ spl0_196
| ~ spl0_289
| spl0_306 ),
inference(sat_conversion,[],[f63916]) ).
cnf(s4094,plain,
( spl0_40
| ~ spl0_196
| spl0_304 ),
inference(sat_conversion,[],[f63919]) ).
cnf(s4095,plain,
( spl0_35
| ~ spl0_211 ),
inference(sat_conversion,[],[f63934]) ).
cnf(s4179,plain,
( ~ spl0_57
| ~ spl0_928 ),
inference(sat_conversion,[],[f64573]) ).
cnf(s4191,plain,
( ~ spl0_56
| ~ spl0_878
| ~ spl0_926 ),
inference(sat_conversion,[],[f64640]) ).
cnf(s4209,plain,
( ~ spl0_38
| ~ spl0_57
| ~ spl0_158 ),
inference(sat_conversion,[],[f64735]) ).
cnf(s4224,plain,
( ~ spl0_37
| spl0_743
| ~ spl0_877
| spl0_932
| ~ spl0_933 ),
inference(sat_conversion,[],[f64919]) ).
cnf(s4225,plain,
( spl0_148
| spl0_149
| ~ spl0_232 ),
inference(sat_conversion,[],[f64920]) ).
cnf(s4226,plain,
( spl0_157
| ~ spl0_232
| ~ spl0_343 ),
inference(sat_conversion,[],[f64921]) ).
cnf(s4227,plain,
( spl0_41
| ~ spl0_196
| spl0_299 ),
inference(sat_conversion,[],[f64922]) ).
cnf(s4228,plain,
( ~ spl0_32
| ~ spl0_37
| spl0_149
| ~ spl0_196
| spl0_343 ),
inference(sat_conversion,[],[f64923]) ).
cnf(s4231,plain,
( spl0_33
| spl0_38
| ~ spl0_278 ),
inference(sat_conversion,[],[f64963]) ).
cnf(s4249,plain,
( ~ spl0_30
| ~ spl0_791
| ~ spl0_991 ),
inference(sat_conversion,[],[f65240]) ).
cnf(s4251,plain,
( spl0_301
| spl0_743
| ~ spl0_799 ),
inference(sat_conversion,[],[f65242]) ).
cnf(s4254,plain,
( ~ spl0_30
| ~ spl0_685
| ~ spl0_791 ),
inference(sat_conversion,[],[f65281]) ).
cnf(s4260,plain,
( ~ spl0_289
| ~ spl0_346
| ~ spl0_989 ),
inference(sat_conversion,[],[f65330]) ).
cnf(s4269,plain,
( ~ spl0_28
| ~ spl0_247
| ~ spl0_877
| spl0_905 ),
inference(sat_conversion,[],[f65513]) ).
cnf(s4270,plain,
( ~ spl0_28
| ~ spl0_232
| spl0_481
| spl0_996 ),
inference(sat_conversion,[],[f65518]) ).
cnf(s4271,plain,
( ~ spl0_28
| ~ spl0_153
| ~ spl0_858
| spl0_903 ),
inference(sat_conversion,[],[f65519]) ).
cnf(s4274,plain,
( ~ spl0_28
| ~ spl0_153
| spl0_685
| ~ spl0_799 ),
inference(sat_conversion,[],[f65522]) ).
cnf(s4276,plain,
( spl0_743
| ~ spl0_881
| spl0_997 ),
inference(sat_conversion,[],[f65527]) ).
cnf(s4280,plain,
( ~ spl0_28
| spl0_685
| ~ spl0_881
| ~ spl0_939 ),
inference(sat_conversion,[],[f65531]) ).
cnf(s4285,plain,
( ~ spl0_41
| ~ spl0_149
| ~ spl0_462 ),
inference(sat_conversion,[],[f65536]) ).
cnf(s4295,plain,
( spl0_247
| spl0_685 ),
inference(sat_conversion,[],[f65584]) ).
cnf(s4298,plain,
( spl0_991
| ~ spl0_996 ),
inference(sat_conversion,[],[f65601]) ).
cnf(s4306,plain,
( ~ spl0_57
| spl0_674 ),
inference(sat_conversion,[],[f65612]) ).
cnf(s4308,plain,
( ~ spl0_37
| ~ spl0_244
| ~ spl0_881
| spl0_930
| spl0_932 ),
inference(sat_conversion,[],[f65614]) ).
cnf(s4310,plain,
( ~ spl0_3
| ~ spl0_233 ),
inference(sat_conversion,[],[f65618]) ).
cnf(s4318,plain,
( ~ spl0_6
| ~ spl0_57
| ~ spl0_687 ),
inference(sat_conversion,[],[f65626]) ).
cnf(s4320,plain,
( ~ spl0_2
| ~ spl0_151
| spl0_674
| ~ spl0_799 ),
inference(sat_conversion,[],[f65628]) ).
cnf(s4327,plain,
( ~ spl0_2
| spl0_674
| ~ spl0_881
| ~ spl0_933 ),
inference(sat_conversion,[],[f65639]) ).
cnf(s4339,plain,
( ~ spl0_6
| ~ spl0_674
| ~ spl0_687 ),
inference(sat_conversion,[],[f65721]) ).
cnf(s4340,plain,
( spl0_286
| ~ spl0_305 ),
inference(sat_conversion,[],[f65730]) ).
cnf(s4385,plain,
( spl0_928
| ~ spl0_935
| spl0_940 ),
inference(sat_conversion,[],[f66081]) ).
cnf(s4399,plain,
( ~ spl0_25
| ~ spl0_468
| spl0_888
| ~ spl0_903 ),
inference(sat_conversion,[],[f66220]) ).
cnf(s4405,plain,
( ~ spl0_224
| spl0_692
| ~ spl0_878
| ~ spl0_926 ),
inference(sat_conversion,[],[f66244]) ).
cnf(s4408,plain,
( ~ spl0_679
| ~ spl0_878
| ~ spl0_926 ),
inference(sat_conversion,[],[f66249]) ).
cnf(s4409,plain,
( ~ spl0_138
| spl0_697
| ~ spl0_878
| ~ spl0_926 ),
inference(sat_conversion,[],[f66250]) ).
cnf(s4413,plain,
( ~ spl0_461
| ~ spl0_676
| spl0_876
| ~ spl0_880 ),
inference(sat_conversion,[],[f66267]) ).
cnf(s4421,plain,
( ~ spl0_790
| spl0_926
| ~ spl0_932 ),
inference(sat_conversion,[],[f66362]) ).
cnf(s4439,plain,
( ~ spl0_47
| spl0_173
| ~ spl0_190 ),
inference(sat_conversion,[],[f66608]) ).
cnf(s4440,plain,
( ~ spl0_34
| ~ spl0_47
| spl0_52 ),
inference(sat_conversion,[],[f66609]) ).
cnf(s4460,plain,
( ~ spl0_267
| ~ spl0_674
| spl0_889
| ~ spl0_929 ),
inference(sat_conversion,[],[f67031]) ).
cnf(s4593,plain,
( ~ spl0_329
| ~ spl0_427
| ~ spl0_885
| spl0_889 ),
inference(sat_conversion,[],[f67971]) ).
cnf(s4595,plain,
( ~ spl0_329
| ~ spl0_674
| spl0_907
| ~ spl0_929 ),
inference(sat_conversion,[],[f67973]) ).
cnf(s4700,plain,
( spl0_33
| spl0_38
| ~ spl0_269 ),
inference(sat_conversion,[],[f69019]) ).
cnf(s4753,plain,
( ~ spl0_176
| spl0_286
| spl0_677 ),
inference(sat_conversion,[],[f69629]) ).
cnf(s4759,plain,
( ~ spl0_774
| spl0_876
| spl0_927 ),
inference(sat_conversion,[],[f69662]) ).
cnf(s4808,plain,
( ~ spl0_697
| spl0_876
| ~ spl0_878 ),
inference(sat_conversion,[],[f70249]) ).
cnf(s4813,plain,
( spl0_774
| ~ spl0_893
| ~ spl0_901 ),
inference(sat_conversion,[],[f70412]) ).
cnf(s4871,plain,
( ~ spl0_30
| spl0_57
| ~ spl0_72
| ~ spl0_957 ),
inference(sat_conversion,[],[f70879]) ).
cnf(s4873,plain,
( ~ spl0_30
| spl0_876
| ~ spl0_940
| ~ spl0_957 ),
inference(sat_conversion,[],[f70881]) ).
cnf(s4885,plain,
( ~ spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f71136]) ).
cnf(s4887,plain,
( ~ spl0_2
| spl0_38
| spl0_60 ),
inference(sat_conversion,[],[f71145]) ).
cnf(s4892,plain,
( spl0_44
| ~ spl0_60
| spl0_85 ),
inference(sat_conversion,[],[f71198]) ).
cnf(s4910,plain,
( ~ spl0_65
| ~ spl0_84
| spl0_286
| ~ spl0_878 ),
inference(sat_conversion,[],[f71412]) ).
cnf(s4911,plain,
( ~ spl0_84
| spl0_910 ),
inference(sat_conversion,[],[f71414]) ).
cnf(s4914,plain,
( ~ spl0_43
| ~ spl0_84
| spl0_989 ),
inference(sat_conversion,[],[f71422]) ).
cnf(s4917,plain,
( ~ spl0_60
| ~ spl0_743
| spl0_876
| spl0_907
| ~ spl0_929 ),
inference(sat_conversion,[],[f71427]) ).
cnf(s4921,plain,
( spl0_347
| spl0_677
| spl0_743 ),
inference(sat_conversion,[],[f71442]) ).
cnf(s4923,plain,
( spl0_44
| ~ spl0_743
| spl0_791 ),
inference(sat_conversion,[],[f71455]) ).
cnf(s4924,plain,
( spl0_11
| ~ spl0_905
| spl0_911 ),
inference(sat_conversion,[],[f71474]) ).
cnf(s4927,plain,
( ~ spl0_30
| ~ spl0_72
| spl0_876
| ~ spl0_905 ),
inference(sat_conversion,[],[f71481]) ).
cnf(s4933,plain,
( ~ spl0_60
| spl0_677
| ~ spl0_688 ),
inference(sat_conversion,[],[f71501]) ).
cnf(s4936,plain,
( spl0_688
| ~ spl0_880
| spl0_929 ),
inference(sat_conversion,[],[f71578]) ).
cnf(s4938,plain,
( ~ spl0_65
| ~ spl0_792
| ~ spl0_880
| spl0_926 ),
inference(sat_conversion,[],[f71581]) ).
cnf(s4940,plain,
( ~ spl0_6
| ~ spl0_876
| ~ spl0_911 ),
inference(sat_conversion,[],[f71594]) ).
cnf(s4949,plain,
( ~ spl0_113
| spl0_674
| spl0_677
| spl0_792 ),
inference(sat_conversion,[],[f71716]) ).
cnf(s5057,plain,
( ~ spl0_27
| spl0_286
| spl0_674
| spl0_676
| spl0_678 ),
inference(sat_conversion,[],[f73508]) ).
cnf(s5097,plain,
( spl0_857
| spl0_1106
| spl0_1107 ),
inference(sat_conversion,[],[f73996]) ).
cnf(s5100,plain,
( spl0_857
| spl0_1112
| spl0_1113 ),
inference(sat_conversion,[],[f74017]) ).
cnf(s5102,plain,
( ~ spl0_341
| ~ spl0_926
| ~ spl0_1107 ),
inference(sat_conversion,[],[f74034]) ).
cnf(s5105,plain,
( ~ spl0_28
| ~ spl0_153
| spl0_905
| ~ spl0_1106 ),
inference(sat_conversion,[],[f74104]) ).
cnf(s5117,plain,
( ~ spl0_47
| ~ spl0_196
| spl0_930
| ~ spl0_1106 ),
inference(sat_conversion,[],[f74128]) ).
cnf(s5118,plain,
( ~ spl0_34
| spl0_233
| ~ spl0_302
| spl0_978 ),
inference(sat_conversion,[],[f74129]) ).
cnf(s5130,plain,
( spl0_41
| ~ spl0_83
| spl0_186 ),
inference(sat_conversion,[],[f74154]) ).
cnf(s5131,plain,
( ~ spl0_32
| spl0_154
| ~ spl0_304
| spl0_343 ),
inference(sat_conversion,[],[f74155]) ).
cnf(s5138,plain,
( ~ spl0_113
| ~ spl0_791
| spl0_876
| ~ spl0_878
| spl0_907 ),
inference(sat_conversion,[],[f74170]) ).
cnf(s5144,plain,
( ~ spl0_2
| ~ spl0_151
| spl0_876
| ~ spl0_1106 ),
inference(sat_conversion,[],[f74178]) ).
cnf(s5154,plain,
( ~ spl0_19
| spl0_676 ),
inference(sat_conversion,[],[f74205]) ).
cnf(s5161,plain,
( spl0_159
| ~ spl0_194
| spl0_462 ),
inference(sat_conversion,[],[f74251]) ).
cnf(s5167,plain,
( spl0_3
| ~ spl0_674
| spl0_679 ),
inference(sat_conversion,[],[f74268]) ).
cnf(s5168,plain,
( ~ spl0_286
| spl0_679
| spl0_688 ),
inference(sat_conversion,[],[f74277]) ).
cnf(s5200,plain,
( spl0_3
| ~ spl0_86
| spl0_87 ),
inference(sat_conversion,[],[f74622]) ).
cnf(s5201,plain,
( ~ spl0_86
| spl0_234
| spl0_235
| spl0_427 ),
inference(sat_conversion,[],[f74623]) ).
cnf(s5204,plain,
( ~ spl0_113
| ~ spl0_158
| spl0_876
| spl0_907
| ~ spl0_1107 ),
inference(sat_conversion,[],[f74642]) ).
cnf(s5213,plain,
( spl0_25
| ~ spl0_26
| spl0_394 ),
inference(sat_conversion,[],[f74659]) ).
cnf(s5216,plain,
( ~ spl0_209
| spl0_286
| spl0_743 ),
inference(sat_conversion,[],[f74664]) ).
cnf(s5217,plain,
( ~ spl0_2
| spl0_35
| spl0_38 ),
inference(sat_conversion,[],[f74666]) ).
cnf(s5218,plain,
( ~ spl0_30
| spl0_60
| ~ spl0_324 ),
inference(sat_conversion,[],[f74667]) ).
cnf(s5220,plain,
( ~ spl0_2
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f74672]) ).
cnf(s5226,plain,
( spl0_3
| ~ spl0_38
| spl0_189 ),
inference(sat_conversion,[],[f74686]) ).
cnf(s5232,plain,
( ~ spl0_11
| ~ spl0_194 ),
inference(sat_conversion,[],[f74708]) ).
cnf(s5234,plain,
( ~ spl0_462
| ~ spl0_927
| ~ spl0_1107 ),
inference(sat_conversion,[],[f74714]) ).
cnf(s5237,plain,
( ~ spl0_40
| spl0_44
| spl0_189 ),
inference(sat_conversion,[],[f74723]) ).
cnf(s5239,plain,
( spl0_11
| ~ spl0_97
| spl0_463 ),
inference(sat_conversion,[],[f74744]) ).
cnf(s5244,plain,
( spl0_3
| ~ spl0_6
| spl0_23 ),
inference(sat_conversion,[],[f74776]) ).
cnf(s5247,plain,
( spl0_44
| ~ spl0_149
| spl0_158 ),
inference(sat_conversion,[],[f74805]) ).
cnf(s5248,plain,
( ~ spl0_154
| spl0_158
| spl0_159 ),
inference(sat_conversion,[],[f74808]) ).
cnf(s5252,plain,
( ~ spl0_40
| ~ spl0_149
| ~ spl0_449 ),
inference(sat_conversion,[],[f74843]) ).
cnf(s5388,plain,
( ~ spl0_318
| spl0_927 ),
inference(sat_conversion,[],[f75770]) ).
cnf(s5391,plain,
( ~ spl0_882
| spl0_885
| spl0_886 ),
inference(sat_conversion,[],[f75797]) ).
cnf(s5396,plain,
( ~ spl0_928
| ~ spl0_1112 ),
inference(sat_conversion,[],[f75842]) ).
cnf(s5401,plain,
( ~ spl0_2
| spl0_427
| ~ spl0_933
| ~ spl0_1113 ),
inference(sat_conversion,[],[f75881]) ).
cnf(s5404,plain,
( spl0_879
| ~ spl0_926
| spl0_928 ),
inference(sat_conversion,[],[f75883]) ).
cnf(s5408,plain,
( ~ spl0_878
| ~ spl0_1056
| ~ spl0_1107 ),
inference(sat_conversion,[],[f75942]) ).
cnf(s5409,plain,
( ~ spl0_878
| spl0_928
| spl0_929 ),
inference(sat_conversion,[],[f75943]) ).
cnf(s5410,plain,
( spl0_746
| spl0_799 ),
inference(sat_conversion,[],[f75947]) ).
cnf(s5414,plain,
( spl0_153
| spl0_234
| spl0_481 ),
inference(sat_conversion,[],[f75962]) ).
cnf(s5419,plain,
( spl0_688
| ~ spl0_746
| spl0_1056 ),
inference(sat_conversion,[],[f75999]) ).
cnf(s5421,plain,
( spl0_159
| ~ spl0_883
| spl0_885 ),
inference(sat_conversion,[],[f76004]) ).
cnf(s5422,plain,
( ~ spl0_44
| ~ spl0_935 ),
inference(sat_conversion,[],[f76006]) ).
cnf(s5426,plain,
( spl0_301
| spl0_930
| ~ spl0_1106 ),
inference(sat_conversion,[],[f76052]) ).
cnf(s5429,plain,
( ~ spl0_149
| ~ spl0_743
| ~ spl0_1056 ),
inference(sat_conversion,[],[f76080]) ).
cnf(s5430,plain,
( ~ spl0_38
| ~ spl0_44 ),
inference(sat_conversion,[],[f76082]) ).
cnf(s5431,plain,
( spl0_40
| ~ spl0_83
| spl0_211 ),
inference(sat_conversion,[],[f76084]) ).
cnf(s5432,plain,
( ~ spl0_44
| ~ spl0_792 ),
inference(sat_conversion,[],[f76086]) ).
cnf(s5433,plain,
( ~ spl0_34
| spl0_233
| ~ spl0_343 ),
inference(sat_conversion,[],[f76087]) ).
cnf(s5437,plain,
( spl0_159
| ~ spl0_233
| spl0_341 ),
inference(sat_conversion,[],[f76098]) ).
cnf(s5438,plain,
( spl0_3
| spl0_341
| ~ spl0_427 ),
inference(sat_conversion,[],[f76101]) ).
cnf(s5443,plain,
( spl0_11
| ~ spl0_685
| spl0_687 ),
inference(sat_conversion,[],[f76120]) ).
cnf(s5445,plain,
( spl0_286
| spl0_304
| ~ spl0_799 ),
inference(sat_conversion,[],[f76163]) ).
cnf(s5447,plain,
( spl0_3
| ~ spl0_876
| spl0_879 ),
inference(sat_conversion,[],[f76169]) ).
cnf(s5456,plain,
( ~ spl0_25
| ~ spl0_679
| ~ spl0_685 ),
inference(sat_conversion,[],[f76226]) ).
cnf(s5459,plain,
( spl0_851
| spl0_857
| spl0_892 ),
inference(sat_conversion,[],[f76246]) ).
cnf(s5466,plain,
( spl0_44
| ~ spl0_930
| spl0_940 ),
inference(sat_conversion,[],[f76327]) ).
cnf(s5467,plain,
( ~ spl0_84
| ~ spl0_158
| ~ spl0_1107 ),
inference(sat_conversion,[],[f76335]) ).
cnf(s5471,plain,
( spl0_302
| spl0_792
| ~ spl0_799 ),
inference(sat_conversion,[],[f76339]) ).
cnf(s5474,plain,
( spl0_886
| spl0_897
| ~ spl0_910 ),
inference(sat_conversion,[],[f76359]) ).
cnf(s5475,plain,
( ~ spl0_233
| ~ spl0_879
| ~ spl0_1112 ),
inference(sat_conversion,[],[f76371]) ).
cnf(s5487,plain,
( ~ spl0_347
| ~ spl0_881
| spl0_932
| ~ spl0_997 ),
inference(sat_conversion,[],[f76485]) ).
cnf(s5505,plain,
( ~ spl0_28
| spl0_481
| ~ spl0_939
| ~ spl0_1113 ),
inference(sat_conversion,[],[f76661]) ).
cnf(s5508,plain,
( ~ spl0_154
| ~ spl0_940
| ~ spl0_1112 ),
inference(sat_conversion,[],[f76674]) ).
cnf(s5509,plain,
( ~ spl0_16
| spl0_25
| spl0_27 ),
inference(sat_conversion,[],[f76675]) ).
cnf(s5518,plain,
( ~ spl0_19
| spl0_41 ),
inference(sat_conversion,[],[f76697]) ).
cnf(s5531,plain,
( ~ spl0_315
| ~ spl0_876
| spl0_905 ),
inference(rat,[],[s3291,s3305,s3342]) ).
cnf(s5540,plain,
( ~ spl0_40
| ~ spl0_87
| spl0_889
| ~ spl0_892 ),
inference(rat,[],[s3206,s3242]) ).
cnf(s5555,plain,
( ~ spl0_38
| ~ spl0_86
| spl0_677
| ~ spl0_791 ),
inference(rat,[],[s2905,s2937]) ).
cnf(s5559,plain,
( ~ spl0_188
| spl0_674
| ~ spl0_743 ),
inference(rat,[],[s2886,s2937]) ).
cnf(s5577,plain,
( ~ spl0_309
| ~ spl0_688 ),
inference(rat,[],[s2476,s2937,s2785]) ).
cnf(s5583,plain,
( spl0_286
| ~ spl0_441
| ~ spl0_688 ),
inference(rat,[],[s2451,s2937]) ).
cnf(s5587,plain,
( ~ spl0_40
| ~ spl0_309
| ~ spl0_679
| spl0_685 ),
inference(rat,[],[s2431,s2937,s2785]) ).
cnf(s5589,plain,
( ~ spl0_315
| ~ spl0_674
| spl0_685 ),
inference(rat,[],[s2419,s2937,s2785]) ).
cnf(s5609,plain,
( ~ spl0_176
| spl0_233 ),
inference(rat,[],[s604,s630]) ).
cnf(s5628,plain,
( spl0_41
| spl0_190 ),
inference(rat,[],[s354,s467]) ).
cnf(s5669,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_44 ),
inference(rat,[],[s104,s467]) ).
cnf(s5673,plain,
( ~ spl0_341
| ~ spl0_40
| ~ spl0_309
| ~ spl0_25 ),
inference(rat,[],[s2428,s3614,s630,s555]) ).
cnf(s5677,plain,
( spl0_674
| ~ spl0_149
| spl0_38
| ~ spl0_151
| spl0_688
| ~ spl0_2 ),
inference(rat,[],[s5419,s5429,s5410,s3625,s4320,s2785]) ).
cnf(s5678,plain,
( ~ spl0_679
| ~ spl0_40
| ~ spl0_309
| ~ spl0_25 ),
inference(rat,[],[s5587,s5456]) ).
cnf(s5679,plain,
( spl0_38
| spl0_674
| spl0_427
| spl0_688
| ~ spl0_2 ),
inference(rat,[],[s5677,s3630,s1058,s630]) ).
cnf(s5683,plain,
( ~ spl0_876
| ~ spl0_315
| ~ spl0_25
| spl0_3 ),
inference(rat,[],[s3982,s5531,s5447]) ).
cnf(s5684,plain,
( ~ spl0_309
| ~ spl0_40
| ~ spl0_25
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5408,s3136,s5097,s3536,s5144,s5683,s730,s1735,s5419,s5430,s5410,s5679,s4320,s2858,s1058,s5167,s5438,s5678,s5673,s5577,s2937,s4074]) ).
cnf(s5685,plain,
( ~ spl0_40
| ~ spl0_25
| ~ spl0_26
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5237,s99,s1070,s3609,s5684,s467]) ).
cnf(s5687,plain,
( ~ spl0_40
| spl0_394
| ~ spl0_23
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5685,s5213,s20,s3742,s4029]) ).
cnf(s5688,plain,
( spl0_679
| ~ spl0_65
| spl0_876
| spl0_688
| spl0_40
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s4917,s5216,s114,s367,s113,s4910,s4936,s3136,s3138,s3536,s4327,s2858,s5167,s5168,s3528,s3305,s2937]) ).
cnf(s5689,plain,
( ~ spl0_151
| spl0_674
| spl0_876
| spl0_688
| ~ spl0_2 ),
inference(rat,[],[s5419,s5408,s5410,s5097,s4320,s5144,s3136,s3536,s2858,s4074,s2937]) ).
cnf(s5690,plain,
( ~ spl0_38
| ~ spl0_309
| ~ spl0_25
| spl0_40
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s3614,s5438,s3293,s1058,s5689,s5589,s5456,s5688,s84,s4440,s233,s5683,s27,s821,s730,s3545,s1735,s5226,s5430,s46,s5577,s630,s555]) ).
cnf(s5691,plain,
( spl0_44
| spl0_679
| ~ spl0_309
| ~ spl0_25
| ~ spl0_28
| spl0_40
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5410,s5419,s5445,s5429,s5131,s686,s5508,s4003,s5466,s4254,s4308,s4280,s3138,s5433,s4421,s4938,s5475,s5102,s5100,s5097,s5505,s5105,s3987,s3982,s5447,s4949,s5688,s727,s4923,s84,s1735,s4440,s231,s31,s36,s46,s3949,s5168,s2858,s3625,s1703,s3293,s3614,s5438,s5679,s5167,s5690,s5577,s630,s2937,s4074,s3342,s2785,s555]) ).
cnf(s5692,plain,
( spl0_679
| ~ spl0_309
| ~ spl0_25
| ~ spl0_28
| spl0_40
| ~ spl0_6
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s3954,s368,s4038,s2733,s5131,s5118,s5443,s5445,s5471,s4274,s5410,s5419,s5429,s686,s4003,s3977,s99,s4039,s5432,s5691,s1703,s3614,s5438,s3625,s5679,s5167,s5168,s5244,s45,s46,s5577,s36,s5690,s630,s2785]) ).
cnf(s5693,plain,
( spl0_876
| ~ spl0_113
| ~ spl0_791
| ~ spl0_244
| ~ spl0_2 ),
inference(rat,[],[s3136,s5138,s3536,s2937,s3305]) ).
cnf(s5694,plain,
( spl0_674
| spl0_685
| spl0_38
| spl0_688
| ~ spl0_25
| ~ spl0_28
| ~ spl0_34
| ~ spl0_6
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5505,s5100,s3987,s5475,s3982,s5447,s5693,s3717,s4923,s5433,s4054,s99,s4228,s4003,s687,s5429,s5419,s5410,s4274,s1703,s3614,s5438,s3625,s5679,s2858,s45,s36,s31,s4074,s3342,s467,s2785]) ).
cnf(s5695,plain,
( spl0_876
| ~ spl0_158
| ~ spl0_151
| ~ spl0_113
| ~ spl0_2 ),
inference(rat,[],[s5097,s5204,s5144,s4074,s3305]) ).
cnf(s5696,plain,
( ~ spl0_876
| ~ spl0_674
| ~ spl0_247
| ~ spl0_25
| ~ spl0_28
| spl0_3 ),
inference(rat,[],[s4269,s3136,s3982,s5409,s5447,s3918,s3924,s2937]) ).
cnf(s5697,plain,
( spl0_427
| ~ spl0_113
| spl0_44
| spl0_876
| spl0_38
| ~ spl0_2 ),
inference(rat,[],[s5247,s5695,s3630,s1058,s630]) ).
cnf(s5698,plain,
( ~ spl0_149
| ~ spl0_1056
| spl0_286
| ~ spl0_153
| ~ spl0_113
| ~ spl0_65
| spl0_44
| spl0_876
| ~ spl0_37
| ~ spl0_25
| ~ spl0_28
| spl0_40 ),
inference(rat,[],[s4224,s4421,s3136,s5404,s4910,s3982,s3925,s113,s5105,s367,s5097,s5216,s5204,s5429,s5247,s3528,s3949,s2937,s4074,s3305]) ).
cnf(s5699,plain,
( spl0_44
| spl0_876
| spl0_315
| spl0_685
| ~ spl0_309
| ~ spl0_25
| ~ spl0_28
| spl0_40
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5408,s5097,s3136,s5105,s4269,s4927,s4003,s687,s5698,s5419,s3828,s5410,s4274,s1703,s3614,s5438,s5697,s727,s84,s96,s1735,s5577,s5217,s4440,s231,s31,s36,s5690,s46,s4295,s4074,s2937,s467]) ).
cnf(s5700,plain,
( ~ spl0_1056
| ~ spl0_1107
| ~ spl0_149
| spl0_932
| ~ spl0_933
| ~ spl0_37 ),
inference(rat,[],[s3136,s4224,s5408,s5429,s2937]) ).
cnf(s5701,plain,
( spl0_427
| spl0_978
| spl0_932
| spl0_792
| spl0_876
| spl0_685
| spl0_38
| spl0_688
| ~ spl0_25
| ~ spl0_28
| ~ spl0_34
| ~ spl0_2 ),
inference(rat,[],[s5437,s3614,s5118,s5414,s5471,s4274,s5410,s5419,s5700,s5097,s4041,s5144,s3630,s1058,s31,s3528,s555,s4074,s630]) ).
cnf(s5702,plain,
( ~ spl0_309
| ~ spl0_25
| ~ spl0_28
| spl0_40
| ~ spl0_6
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5429,s5216,s5419,s686,s3828,s5410,s4003,s4274,s1703,s3614,s5438,s5701,s367,s3977,s113,s3940,s3943,s99,s4039,s4040,s5422,s5432,s5699,s5696,s5589,s5694,s4295,s5456,s5692,s36,s5690,s5577,s46,s630,s2785]) ).
cnf(s5703,plain,
( spl0_674
| spl0_38
| ~ spl0_30
| ~ spl0_25
| ~ spl0_28
| ~ spl0_34
| ~ spl0_6
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s4254,s4923,s5694,s3625,s99,s4933,s5218,s3607,s4885,s2785]) ).
cnf(s5704,plain,
( ~ spl0_26
| spl0_394
| ~ spl0_6
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5408,s5419,s5097,s5410,s5105,s4274,s1703,s3614,s3136,s5438,s4269,s5697,s4927,s5696,s4295,s5456,s5167,s5703,s96,s5217,s4933,s3717,s5226,s5218,s4054,s99,s1070,s3609,s5702,s3607,s5213,s42,s4885,s45,s46,s5687,s5244,s4074,s2937,s2785,s467]) ).
cnf(s5705,plain,
( ~ spl0_38
| ~ spl0_19
| ~ spl0_6 ),
inference(rat,[],[s57,s56]) ).
cnf(s5706,plain,
( ~ spl0_19
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3625,s4339,s2733,s2424,s4933,s4887,s5705,s5154,s5518,s2785]) ).
cnf(s5707,plain,
( ~ spl0_25
| ~ spl0_309
| ~ spl0_6
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5702,s5685,s42,s20,s5706]) ).
cnf(s5708,plain,
( spl0_685
| ~ spl0_40
| ~ spl0_441
| ~ spl0_309 ),
inference(rat,[],[s5168,s3965,s5587,s5577,s2937]) ).
cnf(s5709,plain,
( ~ spl0_876
| ~ spl0_315
| ~ spl0_6 ),
inference(rat,[],[s4924,s5531,s4940,s45]) ).
cnf(s5710,plain,
( spl0_674
| spl0_876
| ~ spl0_685
| ~ spl0_215
| ~ spl0_351
| spl0_25
| spl0_688
| ~ spl0_461
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5509,s11,s5057,s2365,s5168,s2366,s4408,s4409,s3923,s4413,s4936,s4808,s3138,s3136,s4327,s3536,s2858,s3528,s2937,s3342]) ).
cnf(s5711,plain,
( ~ spl0_38
| ~ spl0_6
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s4339,s5710,s5709,s5443,s5708,s75,s397,s3593,s964,s1076,s5707,s730,s1735,s5577,s3609,s4054,s57,s42,s102,s1211,s3829,s5704,s20,s5706,s45,s467]) ).
cnf(s5712,plain,
( ~ spl0_6
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s3136,s5409,s4269,s4295,s4595,s4924,s5443,s2561,s4055,s4179,s4306,s4318,s135,s1704,s96,s4892,s76,s5217,s4887,s5711,s102,s1340,s3829,s5704,s42,s20,s5706,s45,s2937,s3305]) ).
cnf(s5713,plain,
( ~ spl0_25
| ~ spl0_309
| ~ spl0_38
| ~ spl0_26
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5690,s5685]) ).
cnf(s5714,plain,
( spl0_876
| ~ spl0_47
| ~ spl0_40
| spl0_25
| spl0_688
| spl0_674
| ~ spl0_26
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5628,s4439,s819,s824,s397,s1102,s3972,s5438,s3136,s1058,s3536,s5689,s1876,s5712,s2858,s3342,s2937]) ).
cnf(s5715,plain,
( spl0_427
| ~ spl0_743
| ~ spl0_47
| ~ spl0_97
| ~ spl0_40
| spl0_25
| spl0_688
| spl0_674
| ~ spl0_26
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s1193,s2719,s1189,s5429,s2417,s5419,s5239,s405,s5410,s5232,s4320,s3709,s1058,s5712,s4340,s5168,s2732]) ).
cnf(s5716,plain,
( spl0_11
| ~ spl0_196
| spl0_540
| spl0_154
| spl0_188
| ~ spl0_97
| ~ spl0_80
| ~ spl0_40
| spl0_25
| ~ spl0_26
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2417,s4226,s3954,s1104,s1217,s1837,s4227,s368,s408,s322,s5239,s397,s81,s5712]) ).
cnf(s5717,plain,
( spl0_30
| ~ spl0_40
| ~ spl0_309
| spl0_674
| ~ spl0_38
| ~ spl0_26
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5628,s4439,s819,s824,s5716,s687,s2752,s5248,s1102,s2501,s2807,s1195,s5438,s5715,s5559,s4921,s3512,s3136,s5409,s3980,s3518,s5531,s5447,s3924,s5714,s233,s1690,s27,s821,s2439,s1096,s5220,s5226,s4306,s3973,s5577,s730,s1735,s5669,s3593,s5713,s26,s23,s3,s5712,s467,s2785,s2937]) ).
cnf(s5718,plain,
( spl0_427
| ~ spl0_30
| ~ spl0_40
| ~ spl0_315
| spl0_688
| spl0_674
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s3515,s3136,s113,s5409,s3837,s3980,s3518,s4054,s5531,s5447,s3924,s5232,s5689,s3709,s1058,s4306,s4923,s4254,s3973,s5669,s5712,s2785,s3305,s2937]) ).
cnf(s5719,plain,
( spl0_11
| ~ spl0_30
| ~ spl0_40
| spl0_25
| ~ spl0_315
| spl0_688
| spl0_674
| ~ spl0_26
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s3136,s5409,s3515,s3980,s3518,s113,s5531,s5447,s3924,s3837,s5710,s4054,s397,s1211,s5220,s4306,s964,s4923,s4254,s3973,s5669,s5712,s2937,s2785,s3305]) ).
cnf(s5720,plain,
( ~ spl0_40
| ~ spl0_309
| spl0_674
| ~ spl0_38
| ~ spl0_26
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s4053,s113,s4035,s232,s689,s4439,s4091,s3989,s368,s247,s1148,s800,s819,s824,s5232,s5719,s687,s2501,s5438,s5718,s828,s72,s5717,s5220,s4306,s5577,s730,s1735,s5669,s5712,s60,s5713,s467]) ).
cnf(s5721,plain,
( ~ spl0_309
| spl0_674
| ~ spl0_38
| ~ spl0_26
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s4091,s689,s687,s4035,s5247,s4053,s1185,s3989,s247,s1148,s798,s800,s824,s5232,s4054,s3837,s113,s5431,s4095,s828,s96,s72,s1704,s75,s5720,s3593,s1041,s60,s5713,s5220,s5669,s26,s23,s3,s5712,s4306,s467,s555]) ).
cnf(s5722,plain,
( ~ spl0_194
| spl0_286
| ~ spl0_41
| ~ spl0_47
| ~ spl0_55
| ~ spl0_222
| spl0_159 ),
inference(rat,[],[s4285,s2759,s5161]) ).
cnf(s5723,plain,
( spl0_11
| spl0_688
| ~ spl0_40
| spl0_25
| ~ spl0_30
| spl0_186
| spl0_674
| ~ spl0_26
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s3407,s3140,s3423,s2501,s3392,s3449,s5438,s720,s3709,s5722,s756,s66,s361,s3040,s3041,s5168,s87,s4405,s4017,s4408,s4191,s3923,s5409,s3136,s5130,s3515,s232,s3518,s113,s5447,s3924,s2364,s3837,s5710,s408,s2362,s4054,s67,s397,s405,s1211,s4885,s3716,s1096,s5220,s4306,s964,s3593,s26,s23,s3,s4923,s4254,s3973,s5669,s5712,s630,s3181,s2937,s555,s3342,s2785,s3305]) ).
cnf(s5724,plain,
( ~ spl0_11
| ~ spl0_40
| spl0_48
| ~ spl0_50
| spl0_186
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s689,s4091,s4035,s687,s4053,s5252,s113,s3989,s269,s247,s1148,s800,s819,s824,s5232,s5712,s467]) ).
cnf(s5725,plain,
( ~ spl0_881
| ~ spl0_984
| spl0_743
| spl0_674
| ~ spl0_38
| ~ spl0_2 ),
inference(rat,[],[s4385,s3940,s3910,s3924,s5487,s3528,s4276,s4327,s2862]) ).
cnf(s5726,plain,
( ~ spl0_40
| spl0_674
| ~ spl0_38
| ~ spl0_26
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s3136,s3972,s3536,s5447,s3882,s3138,s5725,s3943,s2869,s5583,s5723,s397,s5724,s1876,s2858,s1445,s60,s1076,s1070,s5226,s828,s72,s5220,s4306,s4923,s4254,s3609,s5721,s3973,s5669,s5712,s2937,s3342,s2785,s467]) ).
cnf(s5727,plain,
( spl0_674
| ~ spl0_38
| ~ spl0_26
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s4091,s689,s687,s4035,s5247,s4053,s1185,s3989,s247,s1148,s798,s800,s824,s5232,s4054,s3837,s113,s5431,s5726,s4095,s828,s96,s60,s72,s4871,s1070,s3609,s5721,s4306,s5220,s3701,s5669,s5712,s5226,s467,s555]) ).
cnf(s5728,plain,
( ~ spl0_149
| spl0_876
| ~ spl0_215
| ~ spl0_40
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2640,s246,s743,s5388,s113,s2687,s5234,s5467,s4285,s3856,s5097,s5161,s5144,s3709,s1058,s5438,s3989,s5247,s2501,s5252,s3716,s5669,s1096,s5220,s5712,s4074]) ).
cnf(s5729,plain,
( spl0_427
| spl0_149
| ~ spl0_463
| ~ spl0_47
| ~ spl0_38
| spl0_6
| ~ spl0_2 ),
inference(rat,[],[s228,s1192,s482,s1189,s2417,s3709,s5669]) ).
cnf(s5730,plain,
( spl0_876
| ~ spl0_463
| ~ spl0_215
| ~ spl0_218
| ~ spl0_222
| ~ spl0_461
| spl0_30
| ~ spl0_40
| ~ spl0_679
| ~ spl0_38
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s1217,s3954,s4227,s368,s3534,s3512,s3136,s2720,s3976,s5248,s2729,s1195,s5438,s5729,s687,s5728,s1876,s1096,s5220,s5712,s2862,s2732,s233,s27,s821,s2937,s3342,s467]) ).
cnf(s5731,plain,
( ~ spl0_876
| ~ spl0_47
| ~ spl0_40
| ~ spl0_674
| spl0_3 ),
inference(rat,[],[s3512,s3136,s3518,s5409,s5447,s3918,s3924,s2862,s2732,s5167,s2937]) ).
cnf(s5732,plain,
( spl0_11
| spl0_30
| ~ spl0_40
| spl0_25
| ~ spl0_38
| ~ spl0_26
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5730,s5239,s397,s401,s405,s1211,s5220,s5167,s1690,s2439,s3593,s26,s23,s3,s5712,s5226,s5731,s233,s27,s821,s5727]) ).
cnf(s5733,plain,
( spl0_30
| ~ spl0_40
| spl0_25
| ~ spl0_38
| ~ spl0_26
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s824,s4439,s959,s368,s814,s819,s5732,s233,s27,s821,s3716,s5712]) ).
cnf(s5734,plain,
( spl0_427
| spl0_930
| ~ spl0_933
| ~ spl0_402
| ~ spl0_43
| spl0_743
| ~ spl0_674
| spl0_6
| ~ spl0_2 ),
inference(rat,[],[s3136,s5409,s3515,s5396,s113,s5100,s4460,s3834,s5401,s3909,s3709,s2937,s2785,s3305,s4074,s3181]) ).
cnf(s5735,plain,
( ~ spl0_878
| ~ spl0_685
| ~ spl0_441
| ~ spl0_679 ),
inference(rat,[],[s5409,s3922,s3929,s4408,s3342]) ).
cnf(s5736,plain,
( spl0_876
| ~ spl0_215
| spl0_11
| ~ spl0_30
| ~ spl0_40
| ~ spl0_877
| ~ spl0_315
| ~ spl0_674
| ~ spl0_38
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s483,s4225,s419,s3770,s3898,s66,s362,s3757,s2727,s5426,s5097,s5234,s4759,s4813,s3974,s1209,s3894,s3891,s4260,s4079,s3950,s1148,s4047,s5474,s4914,s3834,s3837,s4911,s3838,s113,s3293,s5438,s3515,s5734,s687,s5466,s5728,s4873,s3528,s3701,s5669,s23,s3476,s2862,s2732,s5167,s4054,s2363,s1211,s5220,s5712,s4074,s630,s555,s2785,s3305,s467]) ).
cnf(s5737,plain,
( ~ spl0_876
| ~ spl0_984
| spl0_743
| ~ spl0_674
| ~ spl0_38 ),
inference(rat,[],[s5487,s4276,s3138,s3940,s4936,s4385,s3910,s3918,s3924,s2448,s2862,s2937]) ).
cnf(s5738,plain,
( spl0_11
| ~ spl0_40
| ~ spl0_309
| ~ spl0_38
| ~ spl0_26
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5736,s397,s3136,s5735,s1076,s5737,s3943,s2870,s4254,s5733,s5713,s5589,s730,s1735,s5669,s5712,s2448,s2732,s5167,s5727,s2785,s2937]) ).
cnf(s5739,plain,
( ~ spl0_40
| ~ spl0_309
| ~ spl0_38
| ~ spl0_26
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s689,s4091,s4035,s687,s247,s4053,s5252,s824,s3989,s959,s1148,s800,s814,s5232,s5738,s113,s3515,s5466,s4873,s5737,s3943,s2870,s4254,s5733,s2732,s3716,s3701,s2448,s60,s3136,s5735,s5589,s730,s1735,s5669,s5712,s1076,s5713,s5167,s5727,s467,s2785,s3305,s2937]) ).
cnf(s5740,plain,
( ~ spl0_43
| ~ spl0_84
| spl0_40
| ~ spl0_50
| ~ spl0_38
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s483,s4225,s419,s689,s679,s4094,s687,s1209,s5247,s4079,s1148,s4047,s4209,s4914,s3834,s3837,s5669,s23,s5712,s467]) ).
cnf(s5741,plain,
( ~ spl0_309
| ~ spl0_38
| ~ spl0_26
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s679,s4094,s689,s687,s4035,s5247,s4053,s1185,s3989,s798,s800,s5232,s4054,s5740,s113,s3515,s5466,s4873,s5737,s3943,s2870,s4923,s4254,s75,s5739,s3136,s5735,s5589,s3593,s1076,s60,s730,s5713,s1735,s3701,s5669,s26,s23,s3,s5712,s5167,s2448,s5727,s467,s555,s2785,s3305,s2937]) ).
cnf(s5742,plain,
( ~ spl0_286
| ~ spl0_453
| ~ spl0_341
| spl0_743
| ~ spl0_189 ),
inference(rat,[],[s2727,s4251,s2755,s3828,s2869,s2862]) ).
cnf(s5743,plain,
( spl0_876
| ~ spl0_402
| ~ spl0_43
| ~ spl0_215
| ~ spl0_218
| ~ spl0_40
| ~ spl0_51
| ~ spl0_30
| ~ spl0_674
| ~ spl0_38
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s483,s4225,s419,s3770,s1209,s3898,s4079,s3950,s1148,s4047,s4914,s3834,s3837,s113,s66,s3515,s84,s3136,s388,s3976,s3757,s5742,s4082,s5248,s1195,s5438,s5734,s687,s5466,s5728,s4873,s3528,s3701,s1876,s5669,s23,s1096,s5220,s5712,s5226,s2732,s5167,s2785,s3305,s2937,s3342,s467]) ).
cnf(s5744,plain,
( ~ spl0_792
| ~ spl0_351
| ~ spl0_30
| spl0_688
| ~ spl0_189 ),
inference(rat,[],[s3975,s4254,s2869,s2870,s2937]) ).
cnf(s5745,plain,
( spl0_11
| ~ spl0_40
| ~ spl0_38
| ~ spl0_26
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5743,s2363,s4054,s397,s401,s1211,s5220,s3593,s26,s23,s3,s5712,s5737,s3943,s5744,s964,s1070,s3609,s5741,s2448,s5226,s2732,s5167,s5727,s2785,s467]) ).
cnf(s5746,plain,
( ~ spl0_40
| ~ spl0_38
| ~ spl0_26
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s959,s5724,s814,s5745,s3716,s5712,s1445,s60,s1070,s5741,s5226]) ).
cnf(s5747,plain,
( spl0_11
| spl0_40
| ~ spl0_51
| ~ spl0_50
| ~ spl0_30
| ~ spl0_38
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5742,s4923,s4082,s5555,s5437,s951,s2560,s5609,s4753,s136,s284,s4892,s250,s114,s113,s5740,s4054,s67,s3629,s5669,s23,s1096,s5220,s5712,s5226,s467,s2785]) ).
cnf(s5748,plain,
( ~ spl0_38
| ~ spl0_26
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s679,s4094,s689,s687,s4035,s5247,s4053,s113,s1185,s3989,s250,s798,s800,s819,s5232,s5747,s5746,s3593,s60,s1070,s3609,s5741,s5226,s5669,s26,s23,s3,s5712,s467,s555]) ).
cnf(s5749,plain,
( ~ spl0_40
| ~ spl0_884
| ~ spl0_87
| ~ spl0_74
| ~ spl0_47
| spl0_269 ),
inference(rat,[],[s5459,s3408,s5540,s2506,s4074,s3181]) ).
cnf(s5750,plain,
( ~ spl0_25
| ~ spl0_858
| ~ spl0_468
| ~ spl0_74
| spl0_269
| ~ spl0_28 ),
inference(rat,[],[s1703,s4271,s3619,s4399,s3242]) ).
cnf(s5752,plain,
( spl0_743
| ~ spl0_1106
| ~ spl0_286
| ~ spl0_877
| ~ spl0_341
| ~ spl0_47
| ~ spl0_30
| ~ spl0_28
| spl0_44 ),
inference(rat,[],[s1703,s5105,s3862,s3911,s5247,s5466,s686,s3512,s2729,s2862,s630]) ).
cnf(s5753,plain,
( spl0_38
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5117,s687,s5466,s5247,s3911,s3862,s4269,s4270,s4295,s4298,s4254,s4249,s4923,s5752,s5097,s5102,s419,s3757,s3758,s3762,s388,s3593,s5750,s84,s4440,s46,s5749,s3140,s3139,s5421,s5391,s3136,s4593,s5438,s5409,s5200,s5201,s4595,s4047,s4179,s4306,s1344,s1990,s2560,s2568,s1685,s1726,s81,s135,s96,s231,s798,s4892,s76,s5217,s31,s36,s4231,s4700,s4887,s3629,s5669,s3476,s1096,s5220,s26,s23,s3,s5712,s467,s4074,s2937,s3181,s630,s555,s3305]) ).
cnf(s5754,plain,
( spl0_3
| ~ spl0_2 ),
inference(rat,[],[s232,s220,s113,s222,s229,s128,s56,s70,s20,s5748,s5753,s5220,s5712]) ).
cnf(s5755,plain,
( ~ spl0_43
| ~ spl0_978
| ~ spl0_84
| ~ spl0_38 ),
inference(rat,[],[s3950,s23,s3834,s57]) ).
cnf(s5756,plain,
( ~ spl0_26
| ~ spl0_38
| ~ spl0_3 ),
inference(rat,[],[s23,s3950,s45,s5232,s4054,s5755,s3898,s113,s66,s687,s158,s84,s5247,s196,s388,s3866,s640,s75,s3593,s1076,s42,s50,s49,s3770,s3762,s5609,s4310,s5430,s467,s555]) ).
cnf(s5757,plain,
( ~ spl0_38
| ~ spl0_3 ),
inference(rat,[],[s113,s232,s3834,s53,s56,s55,s3736,s20,s5756,s46,s50]) ).
cnf(s5758,plain,
~ spl0_3,
inference(rat,[],[s73,s828,s75,s101,s3593,s42,s20,s55,s53,s231,s31,s36,s5757,s46,s3762,s49,s50,s4310]) ).
cnf(s5759,plain,
~ spl0_2,
inference(rat,[],[s5754,s5758]) ).
cnf(s5760,plain,
spl0_1,
inference(rat,[],[s1,s5759]) ).
cnf(s5761,plain,
spl0_926,
inference(rat,[],[s3992,s5760]) ).
cnf(s5764,plain,
spl0_25,
inference(rat,[],[s809,s5760]) ).
cnf(s5765,plain,
spl0_233,
inference(rat,[],[s808,s5760]) ).
cnf(s5771,plain,
~ spl0_19,
inference(rat,[],[s25,s38,s5760]) ).
cnf(s5772,plain,
spl0_26,
inference(rat,[],[s20,s5771]) ).
cnf(s5773,plain,
spl0_28,
inference(rat,[],[s42,s5772]) ).
cnf(s5784,plain,
~ spl0_905,
inference(rat,[],[s5404,s3982,s3925,s5761,s5764]) ).
cnf(s5785,plain,
spl0_939,
inference(rat,[],[s3987,s3342,s5784]) ).
cnf(s5786,plain,
~ spl0_341,
inference(rat,[],[s5105,s1703,s5097,s3614,s5102,s5773,s5784,s4074,s5764,s5761]) ).
cnf(s5788,plain,
spl0_159,
inference(rat,[],[s5437,s5765,s5786]) ).
cnf(s5797,plain,
~ spl0_481,
inference(rat,[],[s3996,s5788]) ).
cnf(s5808,plain,
~ spl0_1113,
inference(rat,[],[s5505,s5785,s5773,s5797]) ).
cnf(s5815,plain,
spl0_1112,
inference(rat,[],[s5100,s4074,s5808]) ).
cnf(s5824,plain,
~ spl0_928,
inference(rat,[],[s5396,s5815]) ).
cnf(s5825,plain,
~ spl0_879,
inference(rat,[],[s5475,s5765,s5815]) ).
cnf(s5833,plain,
$false,
inference(rat,[],[s5404,s5761,s5824,s5825]) ).
thf(f76700,plain,
$false,
inference(avatar_sat_refutation,[],[s5833]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA130^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n015.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Sep 29 19:05:18 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.76/0.38 % (3970592)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.76/0.38 % (3970598)lrs+10_16_si=on:nwc=1.5:random_seed=2576104077:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.76/0.38 % (3970598)Instruction limit reached!
% 0.76/0.38 % (3970598)------------------------------
% 0.76/0.38 % (3970598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.38 % (3970598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.38 % (3970598)CaDiCaL version: 2.1.3
% 0.76/0.38 % (3970598)Termination reason: Instruction limit
% 0.76/0.38 % (3970598)Termination phase: Saturation
% 0.76/0.38 % (3970598)Time elapsed: 0.005 s
% 0.76/0.38 % (3970598)Peak memory usage: 12 MB
% 0.76/0.38 % (3970598)Instructions burned: 19 (million)
% 0.76/0.38 % (3970599)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=447476348:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.76/0.38 % (3970597)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1549859319:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.76/0.38 % (3970601)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4158182680:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.76/0.38 % (3970600)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=3944073104: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)
% 0.76/0.38 % (3970602)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2844665631:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.76/0.38 % (3970603)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.76/0.38 % (3970603)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
% 0.76/0.38 % (3970599)Instruction limit reached!
% 0.76/0.38 % (3970599)------------------------------
% 0.76/0.38 % (3970599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.38 % (3970599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.38 % (3970599)CaDiCaL version: 2.1.3
% 0.76/0.38 % (3970599)Termination reason: Instruction limit
% 0.76/0.38 % (3970599)Termination phase: Saturation
% 0.76/0.38 % (3970599)Time elapsed: 0.003 s
% 0.76/0.38 % (3970599)Peak memory usage: 11 MB
% 0.76/0.38 % (3970599)Instructions burned: 4 (million)
% 0.76/0.38 % (3970603)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=920532436:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.76/0.38 % (3970605)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2682883275:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.76/0.38 % (3970605)Instruction limit reached!
% 0.76/0.38 % (3970605)------------------------------
% 0.76/0.38 % (3970605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.38 % (3970605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.38 % (3970605)CaDiCaL version: 2.1.3
% 0.76/0.38 % (3970605)Termination reason: Instruction limit
% 0.76/0.38 % (3970605)Termination phase: Saturation
% 0.76/0.38 % (3970605)Time elapsed: 0.001 s
% 0.76/0.38 % (3970605)Peak memory usage: 11 MB
% 0.76/0.38 % (3970605)Instructions burned: 4 (million)
% 0.76/0.38 % (3970601)Instruction limit reached!
% 0.76/0.38 % (3970601)------------------------------
% 0.76/0.38 % (3970601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.38 % (3970601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.38 % (3970601)CaDiCaL version: 2.1.3
% 0.76/0.38 % (3970601)Termination reason: Instruction limit
% 0.76/0.38 % (3970601)Termination phase: Saturation
% 0.76/0.38 % (3970601)Time elapsed: 0.014 s
% 0.76/0.38 % (3970601)Peak memory usage: 11 MB
% 0.76/0.38 % (3970601)Instructions burned: 30 (million)
% 0.76/0.38 % (3970614)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.76/0.41 % (3970614)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3174195120:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.76/0.41 % (3970611)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2829643950:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.76/0.41 % (3970614)Instruction limit reached!
% 0.76/0.41 % (3970614)------------------------------
% 0.76/0.41 % (3970614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (3970614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (3970614)CaDiCaL version: 2.1.3
% 0.76/0.41 % (3970614)Termination reason: Instruction limit
% 0.76/0.41 % (3970614)Termination phase: Saturation
% 0.76/0.41 % (3970614)Time elapsed: 0.003 s
% 0.76/0.41 % (3970614)Peak memory usage: 11 MB
% 0.76/0.41 % (3970614)Instructions burned: 10 (million)
% 0.76/0.41 % (3970611)Instruction limit reached!
% 0.76/0.41 % (3970611)------------------------------
% 0.76/0.41 % (3970611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (3970611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (3970611)CaDiCaL version: 2.1.3
% 0.76/0.41 % (3970611)Termination reason: Instruction limit
% 0.76/0.41 % (3970611)Termination phase: Saturation
% 0.76/0.41 % (3970611)Time elapsed: 0.004 s
% 0.76/0.41 % (3970611)Peak memory usage: 11 MB
% 0.76/0.41 % (3970611)Instructions burned: 6 (million)
% 0.76/0.41 % (3970618)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
% 0.76/0.41 % (3970618)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.76/0.41 % (3970618)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2701449129:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.76/0.41 % (3970597)Instruction limit reached!
% 0.76/0.41 % (3970597)------------------------------
% 0.76/0.41 % (3970597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (3970597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (3970597)CaDiCaL version: 2.1.3
% 0.76/0.41 % (3970597)Termination reason: Instruction limit
% 0.76/0.41 % (3970597)Termination phase: Saturation
% 0.76/0.41 % (3970597)Time elapsed: 0.039 s
% 0.76/0.41 % (3970602)Instruction limit reached!
% 0.76/0.41 % (3970602)------------------------------
% 0.76/0.41 % (3970602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (3970602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (3970602)CaDiCaL version: 2.1.3
% 0.76/0.41 % (3970602)Termination reason: Instruction limit
% 0.76/0.41 % (3970602)Termination phase: Saturation
% 0.76/0.41 % (3970602)Time elapsed: 0.038 s
% 0.76/0.41 % (3970602)Peak memory usage: 12 MB
% 0.76/0.41 % (3970602)Instructions burned: 77 (million)
% 0.76/0.41 % (3970597)Peak memory usage: 12 MB
% 0.76/0.41 % (3970597)Instructions burned: 88 (million)
% 0.76/0.41 % (3970615)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1704172900:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.76/0.41 % (3970618)Instruction limit reached!
% 0.76/0.41 % (3970618)------------------------------
% 0.76/0.41 % (3970618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.41 % (3970618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.41 % (3970618)CaDiCaL version: 2.1.3
% 0.76/0.41 % (3970618)Termination reason: Instruction limit
% 0.76/0.41 % (3970618)Termination phase: Saturation
% 0.76/0.41 % (3970618)Time elapsed: 0.008 s
% 0.76/0.41 % (3970618)Peak memory usage: 12 MB
% 0.76/0.41 % (3970618)Instructions burned: 31 (million)
% 0.76/0.41 % (3970619)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=1416034208:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.76/0.41 % (3970615)Instruction limit reached!
% 0.76/0.41 % (3970615)------------------------------
% 0.76/0.41 % (3970615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.43 % (3970615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.43 % (3970615)CaDiCaL version: 2.1.3
% 0.76/0.43 % (3970615)Termination reason: Instruction limit
% 0.76/0.43 % (3970615)Termination phase: Saturation
% 0.76/0.43 % (3970615)Time elapsed: 0.012 s
% 0.76/0.43 % (3970615)Peak memory usage: 12 MB
% 0.76/0.43 % (3970615)Instructions burned: 14 (million)
% 0.76/0.43 % (3970624)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=589020636:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.76/0.43 % (3970622)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.76/0.43 % (3970624)Refutation not found, incomplete strategy
% 0.76/0.43 % (3970624)------------------------------
% 0.76/0.43 % (3970624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.43 % (3970624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.43 % (3970624)CaDiCaL version: 2.1.3
% 0.76/0.43 % (3970624)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.43 % (3970624)Time elapsed: 0.0000 s
% 0.76/0.43 % (3970624)Peak memory usage: 11 MB
% 0.76/0.43 % (3970624)------------------------------
% 0.76/0.43 % (3970624)------------------------------
% 0.76/0.43 % (3970621)lrs+10_1_si=on:cs=on:random_seed=2131549676:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.76/0.43 % (3970622)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=1780001274:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.76/0.43 % (3970622)Instruction limit reached!
% 0.76/0.43 % (3970622)------------------------------
% 0.76/0.43 % (3970622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.43 % (3970622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.43 % (3970622)CaDiCaL version: 2.1.3
% 0.76/0.43 % (3970622)Termination reason: Instruction limit
% 0.76/0.43 % (3970622)Termination phase: Saturation
% 0.76/0.43 % (3970622)Time elapsed: 0.002 s
% 0.76/0.43 % (3970622)Peak memory usage: 11 MB
% 0.76/0.43 % (3970622)Instructions burned: 3 (million)
% 0.76/0.43 % (3970621)Instruction limit reached!
% 0.76/0.43 % (3970621)------------------------------
% 0.76/0.43 % (3970621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.43 % (3970621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.43 % (3970621)CaDiCaL version: 2.1.3
% 0.76/0.43 % (3970621)Termination reason: Instruction limit
% 0.76/0.43 % (3970621)Termination phase: Saturation
% 0.76/0.43 % (3970621)Time elapsed: 0.005 s
% 0.76/0.43 % (3970621)Peak memory usage: 12 MB
% 0.76/0.43 % (3970621)Instructions burned: 8 (million)
% 0.76/0.43 % (3970628)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2390715952:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.76/0.43 % (3970628)Refutation not found, incomplete strategy
% 0.76/0.43 % (3970628)------------------------------
% 0.76/0.43 % (3970628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.43 % (3970628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.43 % (3970628)CaDiCaL version: 2.1.3
% 0.76/0.43 % (3970628)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.43 % (3970628)Time elapsed: 0.0000 s
% 0.76/0.43 % (3970628)Peak memory usage: 11 MB
% 0.76/0.43 % (3970628)------------------------------
% 0.76/0.43 % (3970628)------------------------------
% 0.76/0.43 % (3970627)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1837383031:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.76/0.43 % (3970627)Refutation not found, incomplete strategy
% 0.76/0.43 % (3970627)------------------------------
% 0.76/0.43 % (3970627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.43 % (3970627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.43 % (3970627)CaDiCaL version: 2.1.3
% 0.76/0.43 % (3970627)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.43 % (3970627)Time elapsed: 0.001 s
% 0.76/0.43 % (3970627)Peak memory usage: 11 MB
% 0.76/0.43 % (3970627)------------------------------
% 0.76/0.43 % (3970627)------------------------------
% 0.76/0.46 % (3970634)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=254330182:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.76/0.46 % (3970603)Instruction limit reached!
% 0.76/0.46 % (3970603)------------------------------
% 0.76/0.46 % (3970603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (3970603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (3970603)CaDiCaL version: 2.1.3
% 0.76/0.46 % (3970603)Termination reason: Instruction limit
% 0.76/0.46 % (3970603)Termination phase: Saturation
% 0.76/0.46 % (3970603)Time elapsed: 0.073 s
% 0.76/0.46 % (3970603)Peak memory usage: 12 MB
% 0.76/0.46 % (3970603)Instructions burned: 158 (million)
% 0.76/0.46 % (3970631)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1905349191:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.76/0.46 % (3970632)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1988115514:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.76/0.46 % (3970634)Instruction limit reached!
% 0.76/0.46 % (3970634)------------------------------
% 0.76/0.46 % (3970634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (3970634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (3970634)CaDiCaL version: 2.1.3
% 0.76/0.46 % (3970634)Termination reason: Instruction limit
% 0.76/0.46 % (3970634)Termination phase: Saturation
% 0.76/0.46 % (3970634)Time elapsed: 0.004 s
% 0.76/0.46 % (3970634)Peak memory usage: 12 MB
% 0.76/0.46 % (3970634)Instructions burned: 15 (million)
% 0.76/0.46 % (3970632)Refutation not found, incomplete strategy
% 0.76/0.46 % (3970632)------------------------------
% 0.76/0.46 % (3970632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (3970632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (3970632)CaDiCaL version: 2.1.3
% 0.76/0.46 % (3970632)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.46 % (3970632)Time elapsed: 0.001 s
% 0.76/0.46 % (3970632)Peak memory usage: 11 MB
% 0.76/0.46 % (3970632)------------------------------
% 0.76/0.46 % (3970632)------------------------------
% 0.76/0.46 % (3970631)Instruction limit reached!
% 0.76/0.46 % (3970631)------------------------------
% 0.76/0.46 % (3970631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (3970631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (3970631)CaDiCaL version: 2.1.3
% 0.76/0.46 % (3970631)Termination reason: Instruction limit
% 0.76/0.46 % (3970631)Termination phase: Saturation
% 0.76/0.46 % (3970631)Time elapsed: 0.009 s
% 0.76/0.46 % (3970631)Peak memory usage: 12 MB
% 0.76/0.46 % (3970631)Instructions burned: 15 (million)
% 0.76/0.46 % (3970636)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=356955086:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.76/0.46 % (3970636)Refutation not found, incomplete strategy
% 0.76/0.46 % (3970636)------------------------------
% 0.76/0.46 % (3970636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.76/0.46 % (3970636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.76/0.46 % (3970636)CaDiCaL version: 2.1.3
% 0.76/0.46 % (3970636)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.46 % (3970636)Time elapsed: 0.001 s
% 0.76/0.46 % (3970636)Peak memory usage: 11 MB
% 0.76/0.46 % (3970636)------------------------------
% 0.76/0.46 % (3970636)------------------------------
% 0.76/0.46 % (3970639)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1416438184:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.76/0.46 % (3970641)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2502709010:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.76/0.46 % (3970642)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=683439291:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.76/0.46 % (3970643)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
% 1.53/0.49 % (3970643)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.53/0.49 % (3970643)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=3877140184:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.53/0.49 % (3970645)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.53/0.49 % (3970641)Instruction limit reached!
% 1.53/0.49 % (3970641)------------------------------
% 1.53/0.49 % (3970641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.49 % (3970641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.49 % (3970641)CaDiCaL version: 2.1.3
% 1.53/0.49 % (3970641)Termination reason: Instruction limit
% 1.53/0.49 % (3970641)Termination phase: Saturation
% 1.53/0.49 % (3970641)Time elapsed: 0.011 s
% 1.53/0.49 % (3970641)Peak memory usage: 12 MB
% 1.53/0.49 % (3970641)Instructions burned: 25 (million)
% 1.53/0.49 % (3970645)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=2762277887:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.53/0.49 % (3970639)Instruction limit reached!
% 1.53/0.49 % (3970639)------------------------------
% 1.53/0.49 % (3970639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.49 % (3970639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.49 % (3970639)CaDiCaL version: 2.1.3
% 1.53/0.49 % (3970639)Termination reason: Instruction limit
% 1.53/0.49 % (3970639)Termination phase: Saturation
% 1.53/0.49 % (3970639)Time elapsed: 0.016 s
% 1.53/0.49 % (3970639)Peak memory usage: 12 MB
% 1.53/0.49 % (3970639)Instructions burned: 30 (million)
% 1.53/0.49 % (3970619)Instruction limit reached!
% 1.53/0.49 % (3970619)------------------------------
% 1.53/0.49 % (3970619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.49 % (3970619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.49 % (3970619)CaDiCaL version: 2.1.3
% 1.53/0.49 % (3970619)Termination reason: Instruction limit
% 1.53/0.49 % (3970619)Termination phase: Saturation
% 1.53/0.49 % (3970619)Time elapsed: 0.071 s
% 1.53/0.49 % (3970619)Peak memory usage: 12 MB
% 1.53/0.49 % (3970619)Instructions burned: 86 (million)
% 1.53/0.49 % (3970643)Instruction limit reached!
% 1.53/0.49 % (3970643)------------------------------
% 1.53/0.49 % (3970643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.49 % (3970643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.49 % (3970643)CaDiCaL version: 2.1.3
% 1.53/0.49 % (3970643)Termination reason: Instruction limit
% 1.53/0.49 % (3970643)Termination phase: Saturation
% 1.53/0.49 % (3970643)Time elapsed: 0.009 s
% 1.53/0.49 % (3970643)Peak memory usage: 12 MB
% 1.53/0.49 % (3970643)Instructions burned: 15 (million)
% 1.53/0.49 % (3970645)Instruction limit reached!
% 1.53/0.49 % (3970645)------------------------------
% 1.53/0.49 % (3970645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.49 % (3970645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.49 % (3970645)CaDiCaL version: 2.1.3
% 1.53/0.49 % (3970645)Termination reason: Instruction limit
% 1.53/0.49 % (3970645)Termination phase: Saturation
% 1.53/0.49 % (3970645)Time elapsed: 0.005 s
% 1.53/0.49 % (3970645)Peak memory usage: 12 MB
% 1.53/0.49 % (3970645)Instructions burned: 8 (million)
% 1.53/0.49 % (3970650)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=1523732053:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.53/0.49 % (3970642)Instruction limit reached!
% 1.53/0.49 % (3970642)------------------------------
% 1.53/0.49 % (3970642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.49 % (3970642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.49 % (3970642)CaDiCaL version: 2.1.3
% 1.53/0.49 % (3970642)Termination reason: Instruction limit
% 1.53/0.49 % (3970642)Termination phase: Saturation
% 1.53/0.49 % (3970642)Time elapsed: 0.023 s
% 1.53/0.49 % (3970642)Peak memory usage: 12 MB
% 1.53/0.54 % (3970642)Instructions burned: 62 (million)
% 1.53/0.54 % (3970650)Instruction limit reached!
% 1.53/0.54 % (3970650)------------------------------
% 1.53/0.54 % (3970650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.54 % (3970650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.54 % (3970650)CaDiCaL version: 2.1.3
% 1.53/0.54 % (3970650)Termination reason: Instruction limit
% 1.53/0.54 % (3970650)Termination phase: Saturation
% 1.53/0.54 % (3970650)Time elapsed: 0.009 s
% 1.53/0.54 % (3970650)Peak memory usage: 12 MB
% 1.53/0.54 % (3970650)Instructions burned: 34 (million)
% 1.53/0.54 % (3970652)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3746946544:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.53/0.54 % (3970654)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3022733690:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.53/0.54 % (3970655)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4209799909:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.53/0.54 % (3970653)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3304956487:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.53/0.54 % (3970652)Instruction limit reached!
% 1.53/0.54 % (3970652)------------------------------
% 1.53/0.54 % (3970652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.54 % (3970652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.54 % (3970652)CaDiCaL version: 2.1.3
% 1.53/0.54 % (3970652)Termination reason: Instruction limit
% 1.53/0.54 % (3970652)Termination phase: Saturation
% 1.53/0.54 % (3970652)Time elapsed: 0.005 s
% 1.53/0.54 % (3970652)Peak memory usage: 12 MB
% 1.53/0.54 % (3970652)Instructions burned: 8 (million)
% 1.53/0.54 % (3970658)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=512245960:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.53/0.54 % (3970658)Refutation not found, incomplete strategy
% 1.53/0.54 % (3970658)------------------------------
% 1.53/0.54 % (3970658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.54 % (3970658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.54 % (3970658)CaDiCaL version: 2.1.3
% 1.53/0.54 % (3970658)Termination reason: Refutation not found, incomplete strategy
% 1.53/0.54 % (3970658)Time elapsed: 0.0000 s
% 1.53/0.54 % (3970658)Peak memory usage: 11 MB
% 1.53/0.54 % (3970658)------------------------------
% 1.53/0.54 % (3970658)------------------------------
% 1.53/0.54 % (3970657)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=578589959:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.53/0.54 % (3970654)Instruction limit reached!
% 1.53/0.54 % (3970654)------------------------------
% 1.53/0.54 % (3970654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.54 % (3970654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.54 % (3970654)CaDiCaL version: 2.1.3
% 1.53/0.54 % (3970654)Termination reason: Instruction limit
% 1.53/0.54 % (3970654)Termination phase: Saturation
% 1.53/0.54 % (3970654)Time elapsed: 0.010 s
% 1.53/0.54 % (3970654)Peak memory usage: 12 MB
% 1.53/0.54 % (3970654)Instructions burned: 20 (million)
% 1.53/0.54 % (3970665)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.53/0.54 % (3970665)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2581980982:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.53/0.54 % (3970665)Instruction limit reached!
% 1.53/0.54 % (3970665)------------------------------
% 1.53/0.54 % (3970665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.53/0.54 % (3970665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.53/0.54 % (3970665)CaDiCaL version: 2.1.3
% 1.53/0.54 % (3970665)Termination reason: Instruction limit
% 1.53/0.54 % (3970665)Termination phase: Saturation
% 1.53/0.54 % (3970665)Time elapsed: 0.003 s
% 1.53/0.54 % (3970665)Peak memory usage: 11 MB
% 1.53/0.54 % (3970665)Instructions burned: 9 (million)
% 1.53/0.54 % (3970653)Instruction limit reached!
% 2.13/0.60 % (3970653)------------------------------
% 2.13/0.60 % (3970653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.60 % (3970653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.60 % (3970653)CaDiCaL version: 2.1.3
% 2.13/0.60 % (3970653)Termination reason: Instruction limit
% 2.13/0.60 % (3970653)Termination phase: Saturation
% 2.13/0.60 % (3970653)Time elapsed: 0.018 s
% 2.13/0.60 % (3970653)Peak memory usage: 11 MB
% 2.13/0.60 % (3970653)Instructions burned: 24 (million)
% 2.13/0.60 % (3970663)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=4029475831:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 2.13/0.60 % (3970667)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=375766725:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 2.13/0.60 % (3970671)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.13/0.60 % (3970667)Refutation not found, incomplete strategy
% 2.13/0.60 % (3970667)------------------------------
% 2.13/0.60 % (3970667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.60 % (3970667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.60 % (3970667)CaDiCaL version: 2.1.3
% 2.13/0.60 % (3970667)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.60 % (3970667)Time elapsed: 0.001 s
% 2.13/0.60 % (3970667)Peak memory usage: 11 MB
% 2.13/0.60 % (3970667)------------------------------
% 2.13/0.60 % (3970667)------------------------------
% 2.13/0.60 % (3970671)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=337885508:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 2.13/0.60 % (3970671)Refutation not found, incomplete strategy
% 2.13/0.60 % (3970671)------------------------------
% 2.13/0.60 % (3970671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.60 % (3970671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.60 % (3970671)CaDiCaL version: 2.1.3
% 2.13/0.60 % (3970671)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.60 % (3970671)Time elapsed: 0.0000 s
% 2.13/0.60 % (3970671)Peak memory usage: 11 MB
% 2.13/0.60 % (3970671)Instructions burned: 1 (million)
% 2.13/0.60 % (3970671)------------------------------
% 2.13/0.60 % (3970671)------------------------------
% 2.13/0.60 % (3970663)Instruction limit reached!
% 2.13/0.60 % (3970663)------------------------------
% 2.13/0.60 % (3970663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.60 % (3970663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.60 % (3970663)CaDiCaL version: 2.1.3
% 2.13/0.60 % (3970663)Termination reason: Instruction limit
% 2.13/0.60 % (3970663)Termination phase: Saturation
% 2.13/0.60 % (3970663)Time elapsed: 0.019 s
% 2.13/0.60 % (3970663)Peak memory usage: 12 MB
% 2.13/0.60 % (3970663)Instructions burned: 42 (million)
% 2.13/0.60 % (3970675)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=94002686:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.13/0.60 % (3970675)Refutation not found, incomplete strategy
% 2.13/0.60 % (3970675)------------------------------
% 2.13/0.60 % (3970675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.60 % (3970675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.60 % (3970675)CaDiCaL version: 2.1.3
% 2.13/0.60 % (3970675)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.60 % (3970675)Time elapsed: 0.001 s
% 2.13/0.60 % (3970675)Peak memory usage: 12 MB
% 2.13/0.60 % (3970675)Instructions burned: 2 (million)
% 2.13/0.60 % (3970675)------------------------------
% 2.13/0.60 % (3970675)------------------------------
% 2.13/0.60 % (3970674)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3115968999:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.13/0.60 % (3970669)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=518778370:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 2.13/0.60 % (3970669)Refutation not found, incomplete strategy
% 2.53/0.66 % (3970669)------------------------------
% 2.53/0.66 % (3970669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.66 % (3970669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.66 % (3970669)CaDiCaL version: 2.1.3
% 2.53/0.66 % (3970669)Termination reason: Refutation not found, incomplete strategy
% 2.53/0.66 % (3970669)Time elapsed: 0.001 s
% 2.53/0.66 % (3970669)Peak memory usage: 11 MB
% 2.53/0.66 % (3970669)------------------------------
% 2.53/0.66 % (3970669)------------------------------
% 2.53/0.66 % (3970678)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=1495743482:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.53/0.66 % (3970676)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=2983425518:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.53/0.66 % (3970674)Instruction limit reached!
% 2.53/0.66 % (3970674)------------------------------
% 2.53/0.66 % (3970674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.66 % (3970674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.66 % (3970674)CaDiCaL version: 2.1.3
% 2.53/0.66 % (3970674)Termination reason: Instruction limit
% 2.53/0.66 % (3970674)Termination phase: Saturation
% 2.53/0.66 % (3970674)Time elapsed: 0.011 s
% 2.53/0.66 % (3970674)Peak memory usage: 12 MB
% 2.53/0.66 % (3970674)Instructions burned: 22 (million)
% 2.53/0.66 % (3970657)Instruction limit reached!
% 2.53/0.66 % (3970657)------------------------------
% 2.53/0.66 % (3970657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.66 % (3970657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.66 % (3970657)CaDiCaL version: 2.1.3
% 2.53/0.66 % (3970657)Termination reason: Instruction limit
% 2.53/0.66 % (3970657)Termination phase: Saturation
% 2.53/0.66 % (3970657)Time elapsed: 0.056 s
% 2.53/0.66 % (3970657)Peak memory usage: 12 MB
% 2.53/0.66 % (3970657)Instructions burned: 146 (million)
% 2.53/0.66 % (3970681)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=1369825894:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.53/0.66 % (3970684)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1602611132:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.53/0.66 % (3970684)Refutation not found, incomplete strategy
% 2.53/0.66 % (3970684)------------------------------
% 2.53/0.66 % (3970684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.66 % (3970684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.66 % (3970684)CaDiCaL version: 2.1.3
% 2.53/0.66 % (3970684)Termination reason: Refutation not found, incomplete strategy
% 2.53/0.66 % (3970684)Time elapsed: 0.001 s
% 2.53/0.66 % (3970684)Peak memory usage: 11 MB
% 2.53/0.66 % (3970684)Instructions burned: 1 (million)
% 2.53/0.66 % (3970684)------------------------------
% 2.53/0.66 % (3970684)------------------------------
% 2.53/0.66 % (3970685)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1945899943:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.53/0.66 % (3970685)Instruction limit reached!
% 2.53/0.66 % (3970685)------------------------------
% 2.53/0.66 % (3970685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.66 % (3970685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.66 % (3970685)CaDiCaL version: 2.1.3
% 2.53/0.66 % (3970685)Termination reason: Instruction limit
% 2.53/0.66 % (3970685)Termination phase: Saturation
% 2.53/0.66 % (3970685)Time elapsed: 0.012 s
% 2.53/0.66 % (3970685)Peak memory usage: 12 MB
% 2.53/0.66 % (3970685)Instructions burned: 22 (million)
% 2.53/0.66 % (3970689)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.53/0.66 % (3970689)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=181765327:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.53/0.69 % (3970600)Instruction limit reached!
% 2.53/0.69 % (3970600)------------------------------
% 2.53/0.69 % (3970600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.69 % (3970600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.69 % (3970600)CaDiCaL version: 2.1.3
% 2.53/0.69 % (3970600)Termination reason: Instruction limit
% 2.53/0.69 % (3970600)Termination phase: Saturation
% 2.53/0.69 % (3970600)Time elapsed: 0.241 s
% 2.53/0.69 % (3970600)Peak memory usage: 13 MB
% 2.53/0.69 % (3970600)Instructions burned: 637 (million)
% 2.53/0.69 % (3970681)Instruction limit reached!
% 2.53/0.69 % (3970681)------------------------------
% 2.53/0.69 % (3970681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.69 % (3970681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.69 % (3970681)CaDiCaL version: 2.1.3
% 2.53/0.69 % (3970681)Termination reason: Instruction limit
% 2.53/0.69 % (3970681)Termination phase: Saturation
% 2.53/0.69 % (3970681)Time elapsed: 0.031 s
% 2.53/0.69 % (3970681)Peak memory usage: 12 MB
% 2.53/0.69 % (3970681)Instructions burned: 45 (million)
% 2.53/0.69 % (3970690)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2181558410:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.53/0.69 % (3970690)Instruction limit reached!
% 2.53/0.69 % (3970690)------------------------------
% 2.53/0.69 % (3970690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.69 % (3970690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.69 % (3970690)CaDiCaL version: 2.1.3
% 2.53/0.69 % (3970690)Termination reason: Instruction limit
% 2.53/0.69 % (3970690)Termination phase: Saturation
% 2.53/0.69 % (3970690)Time elapsed: 0.007 s
% 2.53/0.69 % (3970690)Peak memory usage: 12 MB
% 2.53/0.69 % (3970690)Instructions burned: 13 (million)
% 2.53/0.69 % (3970692)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=1116337976:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.53/0.69 % (3970695)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3763401282:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.53/0.69 % (3970693)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1787769621:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.53/0.69 % (3970693)Refutation not found, incomplete strategy
% 2.53/0.69 % (3970693)------------------------------
% 2.53/0.69 % (3970693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.69 % (3970693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.69 % (3970693)CaDiCaL version: 2.1.3
% 2.53/0.69 % (3970693)Termination reason: Refutation not found, incomplete strategy
% 2.53/0.69 % (3970693)Time elapsed: 0.002 s
% 2.53/0.69 % (3970693)Peak memory usage: 12 MB
% 2.53/0.69 % (3970693)Instructions burned: 1 (million)
% 2.53/0.69 % (3970693)------------------------------
% 2.53/0.69 % (3970693)------------------------------
% 2.53/0.69 % (3970692)Instruction limit reached!
% 2.53/0.69 % (3970692)------------------------------
% 2.53/0.69 % (3970692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.69 % (3970692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.69 % (3970692)CaDiCaL version: 2.1.3
% 2.53/0.69 % (3970692)Termination reason: Instruction limit
% 2.53/0.69 % (3970692)Termination phase: Saturation
% 2.53/0.69 % (3970692)Time elapsed: 0.033 s
% 2.53/0.69 % (3970692)Peak memory usage: 13 MB
% 2.53/0.69 % (3970692)Instructions burned: 66 (million)
% 2.53/0.69 % (3970695)Instruction limit reached!
% 2.53/0.69 % (3970695)------------------------------
% 2.53/0.69 % (3970695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.53/0.69 % (3970695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.53/0.69 % (3970695)CaDiCaL version: 2.1.3
% 2.53/0.69 % (3970695)Termination reason: Instruction limit
% 2.53/0.69 % (3970695)Termination phase: Saturation
% 2.53/0.69 % (3970695)Time elapsed: 0.016 s
% 2.53/0.69 % (3970695)Peak memory usage: 12 MB
% 2.53/0.69 % (3970695)Instructions burned: 32 (million)
% 2.53/0.69 % (3970699)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2983512694:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.90/0.73 % (3970689)Instruction limit reached!
% 2.90/0.73 % (3970689)------------------------------
% 2.90/0.73 % (3970689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/0.73 % (3970689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/0.73 % (3970689)CaDiCaL version: 2.1.3
% 2.90/0.73 % (3970689)Termination reason: Instruction limit
% 2.90/0.73 % (3970689)Termination phase: Saturation
% 2.90/0.73 % (3970689)Time elapsed: 0.073 s
% 2.90/0.73 % (3970689)Peak memory usage: 12 MB
% 2.90/0.73 % (3970689)Instructions burned: 202 (million)
% 2.90/0.73 % (3970701)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3614211928:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 2.90/0.73 % (3970701)Refutation not found, incomplete strategy
% 2.90/0.73 % (3970701)------------------------------
% 2.90/0.73 % (3970701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/0.73 % (3970701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/0.73 % (3970701)CaDiCaL version: 2.1.3
% 2.90/0.73 % (3970701)Termination reason: Refutation not found, incomplete strategy
% 2.90/0.73 % (3970701)Time elapsed: 0.001 s
% 2.90/0.73 % (3970701)Peak memory usage: 11 MB
% 2.90/0.73 % (3970701)Instructions burned: 1 (million)
% 2.90/0.73 % (3970701)------------------------------
% 2.90/0.73 % (3970701)------------------------------
% 2.90/0.73 % (3970700)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=158634610:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 2.90/0.73 % (3970703)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.90/0.73 % (3970703)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1687853449:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 2.90/0.73 % (3970705)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3009327158:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 2.90/0.73 % (3970705)Refutation not found, incomplete strategy
% 2.90/0.73 % (3970705)------------------------------
% 2.90/0.73 % (3970705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/0.73 % (3970705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/0.73 % (3970705)CaDiCaL version: 2.1.3
% 2.90/0.73 % (3970705)Termination reason: Refutation not found, incomplete strategy
% 2.90/0.73 % (3970705)Time elapsed: 0.001 s
% 2.90/0.73 % (3970705)Peak memory usage: 11 MB
% 2.90/0.73 % (3970705)------------------------------
% 2.90/0.73 % (3970705)------------------------------
% 2.90/0.73 % (3970700)Instruction limit reached!
% 2.90/0.73 % (3970700)------------------------------
% 2.90/0.73 % (3970700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/0.73 % (3970700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/0.73 % (3970700)CaDiCaL version: 2.1.3
% 2.90/0.73 % (3970700)Termination reason: Instruction limit
% 2.90/0.73 % (3970700)Termination phase: Saturation
% 2.90/0.73 % (3970700)Time elapsed: 0.022 s
% 2.90/0.73 % (3970700)Peak memory usage: 12 MB
% 2.90/0.73 % (3970700)Instructions burned: 34 (million)
% 2.90/0.73 % (3970699)Instruction limit reached!
% 2.90/0.73 % (3970699)------------------------------
% 2.90/0.73 % (3970699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/0.73 % (3970699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/0.73 % (3970699)CaDiCaL version: 2.1.3
% 2.90/0.73 % (3970699)Termination reason: Instruction limit
% 2.90/0.73 % (3970699)Termination phase: Saturation
% 2.90/0.73 % (3970699)Time elapsed: 0.050 s
% 2.90/0.73 % (3970699)Peak memory usage: 12 MB
% 2.90/0.73 % (3970699)Instructions burned: 140 (million)
% 2.90/0.73 % (3970709)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2323767744:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 2.90/0.73 % (3970678)Instruction limit reached!
% 2.90/0.73 % (3970678)------------------------------
% 2.90/0.73 % (3970678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/0.73 % (3970678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/0.77 % (3970678)CaDiCaL version: 2.1.3
% 2.90/0.77 % (3970678)Termination reason: Instruction limit
% 2.90/0.77 % (3970678)Termination phase: Saturation
% 2.90/0.77 % (3970678)Time elapsed: 0.162 s
% 2.90/0.77 % (3970678)Peak memory usage: 13 MB
% 2.90/0.77 % (3970678)Instructions burned: 855 (million)
% 2.90/0.77 % (3970676)Instruction limit reached!
% 2.90/0.77 % (3970676)------------------------------
% 2.90/0.77 % (3970676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/0.77 % (3970676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/0.77 % (3970676)CaDiCaL version: 2.1.3
% 2.90/0.77 % (3970676)Termination reason: Instruction limit
% 2.90/0.77 % (3970676)Termination phase: Saturation
% 2.90/0.77 % (3970676)Time elapsed: 0.162 s
% 2.90/0.77 % (3970676)Peak memory usage: 14 MB
% 2.90/0.77 % (3970676)Instructions burned: 317 (million)
% 2.90/0.77 % (3970710)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2214415318:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 2.90/0.77 % (3970713)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3338120677:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 2.90/0.77 % (3970710)Refutation not found, incomplete strategy
% 2.90/0.77 % (3970710)------------------------------
% 2.90/0.77 % (3970710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/0.77 % (3970710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/0.77 % (3970710)CaDiCaL version: 2.1.3
% 2.90/0.77 % (3970710)Termination reason: Refutation not found, incomplete strategy
% 2.90/0.77 % (3970710)Time elapsed: 0.001 s
% 2.90/0.77 % (3970710)Peak memory usage: 11 MB
% 2.90/0.77 % (3970713)Refutation not found, incomplete strategy
% 2.90/0.77 % (3970713)------------------------------
% 2.90/0.77 % (3970713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/0.77 % (3970713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/0.77 % (3970713)CaDiCaL version: 2.1.3
% 2.90/0.77 % (3970713)Termination reason: Refutation not found, incomplete strategy
% 2.90/0.77 % (3970713)Time elapsed: 0.0000 s
% 2.90/0.77 % (3970713)Peak memory usage: 11 MB
% 2.90/0.77 % (3970713)------------------------------
% 2.90/0.77 % (3970713)------------------------------
% 2.90/0.77 % (3970710)------------------------------
% 2.90/0.77 % (3970710)------------------------------
% 2.90/0.77 % (3970711)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=371204684:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/874Mi)
% 2.90/0.77 % (3970711)Refutation not found, incomplete strategy
% 2.90/0.77 % (3970711)------------------------------
% 2.90/0.77 % (3970711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/0.77 % (3970711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/0.77 % (3970711)CaDiCaL version: 2.1.3
% 2.90/0.77 % (3970711)Termination reason: Refutation not found, incomplete strategy
% 2.90/0.77 % (3970711)Time elapsed: 0.001 s
% 2.90/0.77 % (3970711)Peak memory usage: 11 MB
% 2.90/0.77 % (3970711)------------------------------
% 2.90/0.77 % (3970711)------------------------------
% 2.90/0.77 % (3970717)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3318082489:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 2.90/0.77 % (3970714)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=4257136098:st=1.5:i=130:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/130Mi)
% 2.90/0.77 % (3970714)Refutation not found, incomplete strategy
% 2.90/0.77 % (3970714)------------------------------
% 2.90/0.77 % (3970714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/0.77 % (3970714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/0.77 % (3970714)CaDiCaL version: 2.1.3
% 2.90/0.77 % (3970714)Termination reason: Refutation not found, incomplete strategy
% 2.90/0.77 % (3970714)Time elapsed: 0.001 s
% 2.90/0.77 % (3970714)Peak memory usage: 11 MB
% 2.90/0.77 % (3970714)Instructions burned: 1 (million)
% 2.90/0.77 % (3970714)------------------------------
% 2.90/0.77 % (3970714)------------------------------
% 2.90/0.77 % (3970717)Instruction limit reached!
% 2.90/0.77 % (3970717)------------------------------
% 2.90/0.77 % (3970717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.90/0.77 % (3970717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/0.85 % (3970717)CaDiCaL version: 2.1.3
% 3.55/0.85 % (3970717)Termination reason: Instruction limit
% 3.55/0.85 % (3970717)Termination phase: Saturation
% 3.55/0.85 % (3970717)Time elapsed: 0.012 s
% 3.55/0.85 % (3970717)Peak memory usage: 12 MB
% 3.55/0.85 % (3970717)Instructions burned: 49 (million)
% 3.55/0.85 % (3970720)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2481284085:i=450:rtra=on:ixr=off:ntd=on_2995 on theBenchmark for (2995ds/450Mi)
% 3.55/0.85 % (3970718)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=4184718098:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 3.55/0.85 % (3970718)Refutation not found, incomplete strategy
% 3.55/0.85 % (3970718)------------------------------
% 3.55/0.85 % (3970718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/0.85 % (3970718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/0.85 % (3970718)CaDiCaL version: 2.1.3
% 3.55/0.85 % (3970718)Termination reason: Refutation not found, incomplete strategy
% 3.55/0.85 % (3970718)Time elapsed: 0.001 s
% 3.55/0.85 % (3970718)Peak memory usage: 11 MB
% 3.55/0.85 % (3970718)Instructions burned: 1 (million)
% 3.55/0.85 % (3970718)------------------------------
% 3.55/0.85 % (3970718)------------------------------
% 3.55/0.85 % (3970723)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2706419468:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 3.55/0.85 % (3970709)Instruction limit reached!
% 3.55/0.85 % (3970709)------------------------------
% 3.55/0.85 % (3970709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/0.85 % (3970709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/0.85 % (3970709)CaDiCaL version: 2.1.3
% 3.55/0.85 % (3970709)Termination reason: Instruction limit
% 3.55/0.85 % (3970709)Termination phase: Saturation
% 3.55/0.85 % (3970709)Time elapsed: 0.044 s
% 3.55/0.85 % (3970709)Peak memory usage: 12 MB
% 3.55/0.85 % (3970709)Instructions burned: 96 (million)
% 3.55/0.85 % (3970724)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=1775495910:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2995 on theBenchmark for (2995ds/65Mi)
% 3.55/0.85 % (3970728)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=98926585:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2995 on theBenchmark for (2995ds/105Mi)
% 3.55/0.85 % (3970703)Instruction limit reached!
% 3.55/0.85 % (3970703)------------------------------
% 3.55/0.85 % (3970703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/0.85 % (3970703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/0.85 % (3970703)CaDiCaL version: 2.1.3
% 3.55/0.85 % (3970703)Termination reason: Instruction limit
% 3.55/0.85 % (3970703)Termination phase: Saturation
% 3.55/0.85 % (3970703)Time elapsed: 0.080 s
% 3.55/0.85 % (3970703)Peak memory usage: 12 MB
% 3.55/0.85 % (3970703)Instructions burned: 180 (million)
% 3.55/0.85 % (3970729)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=1429136040:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2995 on theBenchmark for (2995ds/5755Mi)
% 3.55/0.85 % (3970729)Refutation not found, incomplete strategy
% 3.55/0.85 % (3970729)------------------------------
% 3.55/0.85 % (3970729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.55/0.85 % (3970729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/0.85 % (3970729)CaDiCaL version: 2.1.3
% 3.55/0.85 % (3970729)Termination reason: Refutation not found, incomplete strategy
% 3.55/0.85 % (3970729)Time elapsed: 0.001 s
% 3.55/0.85 % (3970729)Peak memory usage: 11 MB
% 3.55/0.85 % (3970729)------------------------------
% 3.55/0.85 % (3970729)------------------------------
% 3.55/0.85 % (3970732)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=4149538102:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/375Mi)
% 3.55/0.85 % (3970732)Refutation not found, incomplete strategy
% 4.05/0.94 % (3970732)------------------------------
% 4.05/0.94 % (3970732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.94 % (3970732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.94 % (3970732)CaDiCaL version: 2.1.3
% 4.05/0.94 % (3970732)Termination reason: Refutation not found, incomplete strategy
% 4.05/0.94 % (3970732)Time elapsed: 0.0000 s
% 4.05/0.94 % (3970732)Peak memory usage: 11 MB
% 4.05/0.94 % (3970732)------------------------------
% 4.05/0.94 % (3970732)------------------------------
% 4.05/0.94 % (3970734)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3780969817:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/495Mi)
% 4.05/0.94 % (3970728)Instruction limit reached!
% 4.05/0.94 % (3970728)------------------------------
% 4.05/0.94 % (3970728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.94 % (3970728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.94 % (3970728)CaDiCaL version: 2.1.3
% 4.05/0.94 % (3970728)Termination reason: Instruction limit
% 4.05/0.94 % (3970728)Termination phase: Saturation
% 4.05/0.94 % (3970728)Time elapsed: 0.030 s
% 4.05/0.94 % (3970728)Peak memory usage: 12 MB
% 4.05/0.94 % (3970728)Instructions burned: 109 (million)
% 4.05/0.94 % (3970723)Instruction limit reached!
% 4.05/0.94 % (3970723)------------------------------
% 4.05/0.94 % (3970723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.94 % (3970723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.94 % (3970723)CaDiCaL version: 2.1.3
% 4.05/0.94 % (3970723)Termination reason: Instruction limit
% 4.05/0.94 % (3970723)Termination phase: Saturation
% 4.05/0.94 % (3970723)Time elapsed: 0.042 s
% 4.05/0.94 % (3970723)Peak memory usage: 12 MB
% 4.05/0.94 % (3970723)Instructions burned: 97 (million)
% 4.05/0.94 % (3970724)Instruction limit reached!
% 4.05/0.94 % (3970724)------------------------------
% 4.05/0.94 % (3970724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.94 % (3970724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.94 % (3970724)CaDiCaL version: 2.1.3
% 4.05/0.94 % (3970724)Termination reason: Instruction limit
% 4.05/0.94 % (3970724)Termination phase: Saturation
% 4.05/0.94 % (3970724)Time elapsed: 0.040 s
% 4.05/0.94 % (3970724)Peak memory usage: 12 MB
% 4.05/0.94 % (3970724)Instructions burned: 65 (million)
% 4.05/0.94 % (3970738)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1571565682:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/91Mi)
% 4.05/0.94 % (3970736)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=803295830:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 4.05/0.94 % (3970739)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1239949732:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2995 on theBenchmark for (2995ds/66Mi)
% 4.05/0.94 % (3970739)Refutation not found, incomplete strategy
% 4.05/0.94 % (3970739)------------------------------
% 4.05/0.94 % (3970739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.94 % (3970739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.94 % (3970739)CaDiCaL version: 2.1.3
% 4.05/0.94 % (3970739)Termination reason: Refutation not found, incomplete strategy
% 4.05/0.94 % (3970739)Time elapsed: 0.0000 s
% 4.05/0.94 % (3970739)Peak memory usage: 11 MB
% 4.05/0.94 % (3970739)------------------------------
% 4.05/0.94 % (3970739)------------------------------
% 4.05/0.94 % (3970740)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4092517034:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 4.05/0.94 % (3970738)Instruction limit reached!
% 4.05/0.94 % (3970738)------------------------------
% 4.05/0.94 % (3970738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.94 % (3970738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.94 % (3970738)CaDiCaL version: 2.1.3
% 4.05/0.94 % (3970738)Termination reason: Instruction limit
% 4.05/0.94 % (3970738)Termination phase: Saturation
% 4.05/0.94 % (3970738)Time elapsed: 0.021 s
% 4.05/0.94 % (3970738)Peak memory usage: 12 MB
% 4.05/0.94 % (3970738)Instructions burned: 96 (million)
% 4.05/1.01 % (3970740)Instruction limit reached!
% 4.05/1.01 % (3970740)------------------------------
% 4.05/1.01 % (3970740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.01 % (3970740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.01 % (3970740)CaDiCaL version: 2.1.3
% 4.05/1.01 % (3970740)Termination reason: Instruction limit
% 4.05/1.01 % (3970740)Termination phase: Saturation
% 4.05/1.01 % (3970740)Time elapsed: 0.012 s
% 4.05/1.01 % (3970740)Peak memory usage: 12 MB
% 4.05/1.01 % (3970740)Instructions burned: 25 (million)
% 4.05/1.01 % (3970744)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=3887690377:i=338:bd=all:ins=4:rtra=on_2994 on theBenchmark for (2994ds/338Mi)
% 4.05/1.01 % (3970746)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2257458886:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/28Mi)
% 4.05/1.01 % (3970736)Instruction limit reached!
% 4.05/1.01 % (3970736)------------------------------
% 4.05/1.01 % (3970736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.01 % (3970736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.01 % (3970736)CaDiCaL version: 2.1.3
% 4.05/1.01 % (3970736)Termination reason: Instruction limit
% 4.05/1.01 % (3970736)Termination phase: Saturation
% 4.05/1.01 % (3970736)Time elapsed: 0.030 s
% 4.05/1.01 % (3970736)Peak memory usage: 12 MB
% 4.05/1.01 % (3970736)Instructions burned: 35 (million)
% 4.05/1.01 % (3970746)Refutation not found, incomplete strategy
% 4.05/1.01 % (3970746)------------------------------
% 4.05/1.01 % (3970746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.01 % (3970746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.01 % (3970746)CaDiCaL version: 2.1.3
% 4.05/1.01 % (3970746)Termination reason: Refutation not found, incomplete strategy
% 4.05/1.01 % (3970746)Time elapsed: 0.0000 s
% 4.05/1.01 % (3970746)Peak memory usage: 11 MB
% 4.05/1.01 % (3970746)------------------------------
% 4.05/1.01 % (3970746)------------------------------
% 4.05/1.01 % (3970748)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 4.05/1.01 % (3970751)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=412548645:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2994 on theBenchmark for (2994ds/340Mi)
% 4.05/1.01 % (3970748)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2055987547:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2994 on theBenchmark for (2994ds/137Mi)
% 4.05/1.01 % (3970752)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=2077957015:i=227:sd=1:bd=all:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/227Mi)
% 4.05/1.01 % (3970752)Refutation not found, incomplete strategy
% 4.05/1.01 % (3970752)------------------------------
% 4.05/1.01 % (3970752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.01 % (3970752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.01 % (3970752)CaDiCaL version: 2.1.3
% 4.05/1.01 % (3970752)Termination reason: Refutation not found, incomplete strategy
% 4.05/1.01 % (3970752)Time elapsed: 0.001 s
% 4.05/1.01 % (3970752)Peak memory usage: 11 MB
% 4.05/1.01 % (3970752)------------------------------
% 4.05/1.01 % (3970752)------------------------------
% 4.05/1.01 % (3970756)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 4.05/1.01 % (3970756)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1031643090:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/373Mi)
% 4.05/1.01 % (3970720)Instruction limit reached!
% 4.05/1.01 % (3970720)------------------------------
% 4.05/1.01 % (3970720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/1.01 % (3970720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/1.01 % (3970720)CaDiCaL version: 2.1.3
% 4.05/1.01 % (3970720)Termination reason: Instruction limit
% 4.05/1.01 % (3970720)Termination phase: Saturation
% 4.05/1.01 % (3970720)Time elapsed: 0.159 s
% 4.05/1.01 % (3970720)Peak memory usage: 12 MB
% 5.39/1.07 % (3970720)Instructions burned: 451 (million)
% 5.39/1.07 % (3970748)Instruction limit reached!
% 5.39/1.07 % (3970748)------------------------------
% 5.39/1.07 % (3970748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.39/1.07 % (3970748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.07 % (3970748)CaDiCaL version: 2.1.3
% 5.39/1.07 % (3970748)Termination reason: Instruction limit
% 5.39/1.07 % (3970748)Termination phase: Saturation
% 5.39/1.07 % (3970748)Time elapsed: 0.060 s
% 5.39/1.07 % (3970748)Peak memory usage: 12 MB
% 5.39/1.07 % (3970748)Instructions burned: 142 (million)
% 5.39/1.07 % (3970758)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2481121204:i=116:ep=RSTC:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/116Mi)
% 5.39/1.07 % (3970759)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=429770197:i=575:rtra=on_2994 on theBenchmark for (2994ds/575Mi)
% 5.39/1.07 % (3970751)Instruction limit reached!
% 5.39/1.07 % (3970751)------------------------------
% 5.39/1.07 % (3970751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.39/1.07 % (3970751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.07 % (3970751)CaDiCaL version: 2.1.3
% 5.39/1.07 % (3970751)Termination reason: Instruction limit
% 5.39/1.07 % (3970751)Termination phase: Saturation
% 5.39/1.07 % (3970751)Time elapsed: 0.081 s
% 5.39/1.07 % (3970751)Peak memory usage: 13 MB
% 5.39/1.07 % (3970751)Instructions burned: 343 (million)
% 5.39/1.07 % (3970759)Refutation not found, incomplete strategy
% 5.39/1.07 % (3970759)------------------------------
% 5.39/1.07 % (3970759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.39/1.07 % (3970759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.07 % (3970759)CaDiCaL version: 2.1.3
% 5.39/1.07 % (3970759)Termination reason: Refutation not found, incomplete strategy
% 5.39/1.07 % (3970759)Time elapsed: 0.001 s
% 5.39/1.07 % (3970759)Peak memory usage: 11 MB
% 5.39/1.07 % (3970759)Instructions burned: 1 (million)
% 5.39/1.07 % (3970759)------------------------------
% 5.39/1.07 % (3970759)------------------------------
% 5.39/1.07 % (3970762)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3500323681:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2993 on theBenchmark for (2993ds/270Mi)
% 5.39/1.07 % (3970763)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=554308035:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2993 on theBenchmark for (2993ds/9840Mi)
% 5.39/1.07 % (3970758)Instruction limit reached!
% 5.39/1.07 % (3970758)------------------------------
% 5.39/1.07 % (3970758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.39/1.07 % (3970758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.07 % (3970758)CaDiCaL version: 2.1.3
% 5.39/1.07 % (3970758)Termination reason: Instruction limit
% 5.39/1.07 % (3970758)Termination phase: Saturation
% 5.39/1.07 % (3970758)Time elapsed: 0.051 s
% 5.39/1.07 % (3970758)Peak memory usage: 12 MB
% 5.39/1.07 % (3970758)Instructions burned: 117 (million)
% 5.39/1.07 % (3970744)Instruction limit reached!
% 5.39/1.07 % (3970744)------------------------------
% 5.39/1.07 % (3970744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.39/1.07 % (3970744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.07 % (3970744)CaDiCaL version: 2.1.3
% 5.39/1.07 % (3970744)Termination reason: Instruction limit
% 5.39/1.07 % (3970744)Termination phase: Saturation
% 5.39/1.07 % (3970744)Time elapsed: 0.152 s
% 5.39/1.07 % (3970744)Peak memory usage: 14 MB
% 5.39/1.07 % (3970744)Instructions burned: 340 (million)
% 5.39/1.07 % (3970766)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1329559175:i=421:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/421Mi)
% 5.39/1.07 % (3970766)Refutation not found, incomplete strategy
% 5.39/1.07 % (3970766)------------------------------
% 5.39/1.07 % (3970766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.39/1.07 % (3970766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.07 % (3970766)CaDiCaL version: 2.1.3
% 5.39/1.12 % (3970766)Termination reason: Refutation not found, incomplete strategy
% 5.39/1.12 % (3970766)Time elapsed: 0.001 s
% 5.39/1.12 % (3970766)Peak memory usage: 11 MB
% 5.39/1.12 % (3970766)------------------------------
% 5.39/1.12 % (3970766)------------------------------
% 5.39/1.12 % (3970762)Instruction limit reached!
% 5.39/1.12 % (3970762)------------------------------
% 5.39/1.12 % (3970762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.39/1.12 % (3970762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.12 % (3970762)CaDiCaL version: 2.1.3
% 5.39/1.12 % (3970762)Termination reason: Instruction limit
% 5.39/1.12 % (3970762)Termination phase: Saturation
% 5.39/1.12 % (3970762)Time elapsed: 0.062 s
% 5.39/1.12 % (3970762)Peak memory usage: 12 MB
% 5.39/1.12 % (3970762)Instructions burned: 271 (million)
% 5.39/1.12 % (3970767)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.39/1.12 % (3970767)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=1357230320:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/270Mi)
% 5.39/1.12 % (3970770)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.39/1.12 % (3970770)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.39/1.12 % (3970770)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=3963375132:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2993 on theBenchmark for (2993ds/1440Mi)
% 5.39/1.12 % (3970769)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1445458327:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 5.39/1.12 % (3970734)Instruction limit reached!
% 5.39/1.12 % (3970734)------------------------------
% 5.39/1.12 % (3970734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.39/1.12 % (3970734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.12 % (3970734)CaDiCaL version: 2.1.3
% 5.39/1.12 % (3970734)Termination reason: Instruction limit
% 5.39/1.12 % (3970734)Termination phase: Saturation
% 5.39/1.12 % (3970734)Time elapsed: 0.238 s
% 5.39/1.12 % (3970734)Peak memory usage: 13 MB
% 5.39/1.12 % (3970734)Instructions burned: 497 (million)
% 5.39/1.12 % (3970769)Instruction limit reached!
% 5.39/1.12 % (3970769)------------------------------
% 5.39/1.12 % (3970769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.39/1.12 % (3970769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.12 % (3970769)CaDiCaL version: 2.1.3
% 5.39/1.12 % (3970769)Termination reason: Instruction limit
% 5.39/1.12 % (3970769)Termination phase: Saturation
% 5.39/1.12 % (3970769)Time elapsed: 0.016 s
% 5.39/1.12 % (3970769)Peak memory usage: 12 MB
% 5.39/1.12 % (3970769)Instructions burned: 33 (million)
% 5.39/1.12 % (3970774)dis+10_2_sil=128000:si=on:random_seed=2835314574:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2992 on theBenchmark for (2992ds/339Mi)
% 5.39/1.12 % (3970774)Refutation not found, incomplete strategy
% 5.39/1.12 % (3970774)------------------------------
% 5.39/1.12 % (3970774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.39/1.12 % (3970774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.12 % (3970774)CaDiCaL version: 2.1.3
% 5.39/1.12 % (3970774)Termination reason: Refutation not found, incomplete strategy
% 5.39/1.12 % (3970774)Time elapsed: 0.001 s
% 5.39/1.12 % (3970774)Peak memory usage: 11 MB
% 5.39/1.12 % (3970774)------------------------------
% 5.39/1.12 % (3970774)------------------------------
% 5.39/1.12 % (3970775)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1589312057:i=111:add=on:fgj=on:rtra=on:fdi=1024_2992 on theBenchmark for (2992ds/111Mi)
% 5.39/1.12 % (3970655)Instruction limit reached!
% 5.39/1.12 % (3970655)------------------------------
% 5.39/1.12 % (3970655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.39/1.12 % (3970655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.19/1.25 % (3970655)CaDiCaL version: 2.1.3
% 6.19/1.25 % (3970655)Termination reason: Instruction limit
% 6.19/1.25 % (3970655)Termination phase: Saturation
% 6.19/1.25 % (3970655)Time elapsed: 0.565 s
% 6.19/1.25 % (3970655)Peak memory usage: 13 MB
% 6.19/1.25 % (3970655)Instructions burned: 1240 (million)
% 6.19/1.25 % (3970777)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=3680304608:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/122Mi)
% 6.19/1.25 % (3970777)Refutation not found, incomplete strategy
% 6.19/1.25 % (3970777)------------------------------
% 6.19/1.25 % (3970777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.19/1.25 % (3970777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.19/1.25 % (3970777)CaDiCaL version: 2.1.3
% 6.19/1.25 % (3970777)Termination reason: Refutation not found, incomplete strategy
% 6.19/1.25 % (3970777)Time elapsed: 0.001 s
% 6.19/1.25 % (3970777)Peak memory usage: 11 MB
% 6.19/1.25 % (3970777)------------------------------
% 6.19/1.25 % (3970777)------------------------------
% 6.19/1.25 % (3970779)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=3810681517:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/136Mi)
% 6.19/1.25 % (3970779)Refutation not found, incomplete strategy
% 6.19/1.25 % (3970779)------------------------------
% 6.19/1.25 % (3970779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.19/1.25 % (3970779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.19/1.25 % (3970779)CaDiCaL version: 2.1.3
% 6.19/1.25 % (3970779)Termination reason: Refutation not found, incomplete strategy
% 6.19/1.25 % (3970779)Time elapsed: 0.001 s
% 6.19/1.25 % (3970779)Peak memory usage: 11 MB
% 6.19/1.25 % (3970779)Instructions burned: 1 (million)
% 6.19/1.25 % (3970779)------------------------------
% 6.19/1.25 % (3970779)------------------------------
% 6.19/1.25 % (3970783)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=3824522383:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/1254Mi)
% 6.19/1.25 % (3970783)Refutation not found, incomplete strategy
% 6.19/1.25 % (3970783)------------------------------
% 6.19/1.25 % (3970783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.19/1.25 % (3970783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.19/1.25 % (3970783)CaDiCaL version: 2.1.3
% 6.19/1.25 % (3970783)Termination reason: Refutation not found, incomplete strategy
% 6.19/1.25 % (3970783)Time elapsed: 0.002 s
% 6.19/1.25 % (3970783)Peak memory usage: 11 MB
% 6.19/1.25 % (3970783)Instructions burned: 3 (million)
% 6.19/1.25 % (3970783)------------------------------
% 6.19/1.25 % (3970783)------------------------------
% 6.19/1.25 % (3970781)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2194794821:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/232Mi)
% 6.19/1.25 % (3970781)Refutation not found, incomplete strategy
% 6.19/1.25 % (3970781)------------------------------
% 6.19/1.25 % (3970781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.19/1.25 % (3970781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.19/1.25 % (3970781)CaDiCaL version: 2.1.3
% 6.19/1.25 % (3970781)Termination reason: Refutation not found, incomplete strategy
% 6.19/1.25 % (3970781)Time elapsed: 0.001 s
% 6.19/1.25 % (3970781)Peak memory usage: 11 MB
% 6.19/1.25 % (3970781)------------------------------
% 6.19/1.25 % (3970781)------------------------------
% 6.19/1.25 % (3970767)Instruction limit reached!
% 6.19/1.25 % (3970767)------------------------------
% 6.19/1.25 % (3970767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.19/1.25 % (3970767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.19/1.25 % (3970767)CaDiCaL version: 2.1.3
% 6.19/1.25 % (3970767)Termination reason: Instruction limit
% 6.19/1.25 % (3970767)Termination phase: Saturation
% 6.19/1.25 % (3970767)Time elapsed: 0.106 s
% 6.19/1.25 % (3970767)Peak memory usage: 12 MB
% 6.19/1.25 % (3970767)Instructions burned: 273 (million)
% 6.19/1.25 % (3970785)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.79/1.32 % (3970785)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=4170611718:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2992 on theBenchmark for (2992ds/281Mi)
% 6.79/1.32 % (3970756)Instruction limit reached!
% 6.79/1.32 % (3970756)------------------------------
% 6.79/1.32 % (3970756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.32 % (3970756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.32 % (3970756)CaDiCaL version: 2.1.3
% 6.79/1.32 % (3970756)Termination reason: Instruction limit
% 6.79/1.32 % (3970756)Termination phase: Saturation
% 6.79/1.32 % (3970756)Time elapsed: 0.240 s
% 6.79/1.32 % (3970756)Peak memory usage: 12 MB
% 6.79/1.32 % (3970756)Instructions burned: 374 (million)
% 6.79/1.32 % (3970787)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3814182575:i=619:add=on:rtra=on_2992 on theBenchmark for (2992ds/619Mi)
% 6.79/1.32 % (3970788)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=4263331565:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/865Mi)
% 6.79/1.32 % (3970787)Refutation not found, incomplete strategy
% 6.79/1.32 % (3970787)------------------------------
% 6.79/1.32 % (3970787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.32 % (3970787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.32 % (3970787)CaDiCaL version: 2.1.3
% 6.79/1.32 % (3970787)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.32 % (3970787)Time elapsed: 0.002 s
% 6.79/1.32 % (3970787)Peak memory usage: 12 MB
% 6.79/1.32 % (3970787)Instructions burned: 2 (million)
% 6.79/1.32 % (3970787)------------------------------
% 6.79/1.32 % (3970787)------------------------------
% 6.79/1.32 % (3970790)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3620883048:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/212Mi)
% 6.79/1.32 % (3970790)Refutation not found, incomplete strategy
% 6.79/1.32 % (3970790)------------------------------
% 6.79/1.32 % (3970790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.32 % (3970790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.32 % (3970790)CaDiCaL version: 2.1.3
% 6.79/1.32 % (3970790)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.32 % (3970790)Time elapsed: 0.001 s
% 6.79/1.32 % (3970790)Peak memory usage: 11 MB
% 6.79/1.32 % (3970790)------------------------------
% 6.79/1.32 % (3970790)------------------------------
% 6.79/1.32 % (3970793)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=1941025855:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/130Mi)
% 6.79/1.32 % (3970775)Instruction limit reached!
% 6.79/1.32 % (3970775)------------------------------
% 6.79/1.32 % (3970775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.32 % (3970775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.32 % (3970775)CaDiCaL version: 2.1.3
% 6.79/1.32 % (3970775)Termination reason: Instruction limit
% 6.79/1.32 % (3970775)Termination phase: Saturation
% 6.79/1.32 % (3970775)Time elapsed: 0.098 s
% 6.79/1.32 % (3970775)Peak memory usage: 12 MB
% 6.79/1.32 % (3970775)Instructions burned: 111 (million)
% 6.79/1.32 % (3970793)Refutation not found, incomplete strategy
% 6.79/1.32 % (3970793)------------------------------
% 6.79/1.32 % (3970793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.32 % (3970793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.32 % (3970793)CaDiCaL version: 2.1.3
% 6.79/1.32 % (3970793)Termination reason: Refutation not found, incomplete strategy
% 6.79/1.32 % (3970793)Time elapsed: 0.001 s
% 6.79/1.32 % (3970793)Peak memory usage: 11 MB
% 6.79/1.32 % (3970793)------------------------------
% 6.79/1.32 % (3970793)------------------------------
% 6.79/1.32 % (3970795)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3179131933:st=1.5:i=346:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/346Mi)
% 6.79/1.32 % (3970795)Refutation not found, incomplete strategy
% 6.79/1.32 % (3970795)------------------------------
% 6.79/1.32 % (3970795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.54 % (3970795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.54 % (3970795)CaDiCaL version: 2.1.3
% 7.54/1.54 % (3970795)Termination reason: Refutation not found, incomplete strategy
% 7.54/1.54 % (3970795)Time elapsed: 0.001 s
% 7.54/1.54 % (3970795)Peak memory usage: 11 MB
% 7.54/1.54 % (3970795)Instructions burned: 1 (million)
% 7.54/1.54 % (3970795)------------------------------
% 7.54/1.54 % (3970795)------------------------------
% 7.54/1.54 % (3970798)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1966274894:i=75:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/75Mi)
% 7.54/1.54 % (3970797)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=4022119245:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2991 on theBenchmark for (2991ds/152Mi)
% 7.54/1.54 % (3970800)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=1755311183:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/387Mi)
% 7.54/1.54 % (3970800)Refutation not found, incomplete strategy
% 7.54/1.54 % (3970800)------------------------------
% 7.54/1.54 % (3970800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.54 % (3970800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.54 % (3970800)CaDiCaL version: 2.1.3
% 7.54/1.54 % (3970800)Termination reason: Refutation not found, incomplete strategy
% 7.54/1.54 % (3970800)Time elapsed: 0.001 s
% 7.54/1.54 % (3970800)Peak memory usage: 11 MB
% 7.54/1.54 % (3970800)Instructions burned: 1 (million)
% 7.54/1.54 % (3970800)------------------------------
% 7.54/1.54 % (3970800)------------------------------
% 7.54/1.54 % (3970804)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=3488147667:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2991 on theBenchmark for (2991ds/148Mi)
% 7.54/1.54 % (3970798)Instruction limit reached!
% 7.54/1.54 % (3970798)------------------------------
% 7.54/1.54 % (3970798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.54 % (3970798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.54 % (3970798)CaDiCaL version: 2.1.3
% 7.54/1.54 % (3970798)Termination reason: Instruction limit
% 7.54/1.54 % (3970798)Termination phase: Saturation
% 7.54/1.54 % (3970798)Time elapsed: 0.048 s
% 7.54/1.54 % (3970798)Peak memory usage: 12 MB
% 7.54/1.54 % (3970798)Instructions burned: 77 (million)
% 7.54/1.54 % (3970806)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=745522302:i=161:piset=and:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/161Mi)
% 7.54/1.54 % (3970797)Instruction limit reached!
% 7.54/1.54 % (3970797)------------------------------
% 7.54/1.54 % (3970797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.54 % (3970797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.54 % (3970797)CaDiCaL version: 2.1.3
% 7.54/1.54 % (3970797)Termination reason: Instruction limit
% 7.54/1.54 % (3970797)Termination phase: Saturation
% 7.54/1.54 % (3970797)Time elapsed: 0.075 s
% 7.54/1.54 % (3970797)Peak memory usage: 12 MB
% 7.54/1.54 % (3970797)Instructions burned: 153 (million)
% 7.54/1.54 % (3970808)lrs+10_1_sil=128000:si=on:random_seed=3465007360:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/888Mi)
% 7.54/1.54 % (3970808)Refutation not found, incomplete strategy
% 7.54/1.54 % (3970808)------------------------------
% 7.54/1.54 % (3970808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.54 % (3970808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.54 % (3970808)CaDiCaL version: 2.1.3
% 7.54/1.54 % (3970808)Termination reason: Refutation not found, incomplete strategy
% 7.54/1.54 % (3970808)Time elapsed: 0.001 s
% 7.54/1.54 % (3970808)Peak memory usage: 11 MB
% 7.54/1.54 % (3970808)------------------------------
% 7.54/1.54 % (3970808)------------------------------
% 7.54/1.54 % (3970785)Instruction limit reached!
% 7.54/1.54 % (3970785)------------------------------
% 7.54/1.54 % (3970785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.54/1.54 % (3970785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.54/1.54 % (3970785)CaDiCaL version: 2.1.3
% 7.54/1.54 % (3970785)Termination reason: Instruction limit
% 7.99/1.69 % (3970785)Termination phase: Saturation
% 7.99/1.69 % (3970785)Time elapsed: 0.176 s
% 7.99/1.69 % (3970785)Peak memory usage: 13 MB
% 7.99/1.69 % (3970785)Instructions burned: 281 (million)
% 7.99/1.69 % (3970806)Instruction limit reached!
% 7.99/1.69 % (3970806)------------------------------
% 7.99/1.69 % (3970806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.69 % (3970806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.69 % (3970806)CaDiCaL version: 2.1.3
% 7.99/1.69 % (3970806)Termination reason: Instruction limit
% 7.99/1.69 % (3970806)Termination phase: Saturation
% 7.99/1.69 % (3970806)Time elapsed: 0.056 s
% 7.99/1.69 % (3970806)Peak memory usage: 12 MB
% 7.99/1.69 % (3970806)Instructions burned: 162 (million)
% 7.99/1.69 % (3970810)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=2416437388:i=136:add=on:ins=4:rtra=on:sup=off_2990 on theBenchmark for (2990ds/136Mi)
% 7.99/1.69 % (3970811)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=3257000566:i=88:s2at=3:nm=2:rtra=on:rawr=on_2990 on theBenchmark for (2990ds/88Mi)
% 7.99/1.69 % (3970812)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1146599609:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2990 on theBenchmark for (2990ds/93Mi)
% 7.99/1.69 % (3970770)Instruction limit reached!
% 7.99/1.69 % (3970770)------------------------------
% 7.99/1.69 % (3970770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.69 % (3970770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.69 % (3970770)CaDiCaL version: 2.1.3
% 7.99/1.69 % (3970770)Termination reason: Instruction limit
% 7.99/1.69 % (3970770)Termination phase: Saturation
% 7.99/1.69 % (3970770)Time elapsed: 0.323 s
% 7.99/1.69 % (3970770)Peak memory usage: 13 MB
% 7.99/1.69 % (3970770)Instructions burned: 1444 (million)
% 7.99/1.69 % (3970804)Instruction limit reached!
% 7.99/1.69 % (3970804)------------------------------
% 7.99/1.69 % (3970804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.69 % (3970804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.69 % (3970804)CaDiCaL version: 2.1.3
% 7.99/1.69 % (3970804)Termination reason: Instruction limit
% 7.99/1.69 % (3970804)Termination phase: Saturation
% 7.99/1.69 % (3970804)Time elapsed: 0.125 s
% 7.99/1.69 % (3970804)Peak memory usage: 12 MB
% 7.99/1.69 % (3970804)Instructions burned: 149 (million)
% 7.99/1.69 % (3970811)Instruction limit reached!
% 7.99/1.69 % (3970811)------------------------------
% 7.99/1.69 % (3970811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.69 % (3970811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.69 % (3970811)CaDiCaL version: 2.1.3
% 7.99/1.69 % (3970811)Termination reason: Instruction limit
% 7.99/1.69 % (3970811)Termination phase: Saturation
% 7.99/1.69 % (3970811)Time elapsed: 0.043 s
% 7.99/1.69 % (3970811)Peak memory usage: 13 MB
% 7.99/1.69 % (3970811)Instructions burned: 89 (million)
% 7.99/1.69 % (3970816)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2082659467:i=2186:rtra=on:ixr=off_2989 on theBenchmark for (2989ds/2186Mi)
% 7.99/1.69 % (3970812)Instruction limit reached!
% 7.99/1.69 % (3970812)------------------------------
% 7.99/1.69 % (3970812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.69 % (3970817)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2606892983:s2a=on:i=240:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/240Mi)
% 7.99/1.69 % (3970812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.69 % (3970812)CaDiCaL version: 2.1.3
% 7.99/1.69 % (3970812)Termination reason: Instruction limit
% 7.99/1.69 % (3970812)Termination phase: Saturation
% 7.99/1.69 % (3970812)Time elapsed: 0.048 s
% 7.99/1.69 % (3970812)Peak memory usage: 12 MB
% 7.99/1.69 % (3970812)Instructions burned: 93 (million)
% 7.99/1.69 % (3970810)Instruction limit reached!
% 7.99/1.69 % (3970810)------------------------------
% 7.99/1.69 % (3970810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.99/1.69 % (3970810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.99/1.69 % (3970810)CaDiCaL version: 2.1.3
% 7.99/1.69 % (3970810)Termination reason: Instruction limit
% 9.23/1.79 % (3970810)Termination phase: Saturation
% 9.23/1.79 % (3970810)Time elapsed: 0.062 s
% 9.23/1.79 % (3970810)Peak memory usage: 12 MB
% 9.23/1.79 % (3970810)Instructions burned: 137 (million)
% 9.23/1.79 % (3970820)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=3493685373:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2989 on theBenchmark for (2989ds/805Mi)
% 9.23/1.79 % (3970822)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 9.23/1.79 % (3970823)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=3297086771:i=355:av=off:fsr=off:rtra=on:ixr=off_2989 on theBenchmark for (2989ds/355Mi)
% 9.23/1.79 % (3970822)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=3543984770:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2989 on theBenchmark for (2989ds/391Mi)
% 9.23/1.79 % (3970822)Refutation not found, incomplete strategy
% 9.23/1.79 % (3970822)------------------------------
% 9.23/1.79 % (3970822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.23/1.79 % (3970822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.23/1.79 % (3970822)CaDiCaL version: 2.1.3
% 9.23/1.79 % (3970822)Termination reason: Refutation not found, incomplete strategy
% 9.23/1.79 % (3970822)Time elapsed: 0.001 s
% 9.23/1.79 % (3970822)Peak memory usage: 11 MB
% 9.23/1.79 % (3970822)Instructions burned: 1 (million)
% 9.23/1.79 % (3970822)------------------------------
% 9.23/1.79 % (3970822)------------------------------
% 9.23/1.79 % (3970831)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=3265740875:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/314Mi)
% 9.23/1.79 % (3970831)Refutation not found, incomplete strategy
% 9.23/1.79 % (3970831)------------------------------
% 9.23/1.79 % (3970831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.23/1.79 % (3970831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.23/1.79 % (3970831)CaDiCaL version: 2.1.3
% 9.23/1.79 % (3970831)Termination reason: Refutation not found, incomplete strategy
% 9.23/1.79 % (3970831)Time elapsed: 0.001 s
% 9.23/1.79 % (3970831)Peak memory usage: 11 MB
% 9.23/1.79 % (3970831)------------------------------
% 9.23/1.79 % (3970831)------------------------------
% 9.23/1.79 % (3970833)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=3802231909:s2a=on:i=251:fsr=off:rtra=on_2988 on theBenchmark for (2988ds/251Mi)
% 9.23/1.79 % (3970817)Instruction limit reached!
% 9.23/1.79 % (3970817)------------------------------
% 9.23/1.79 % (3970817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.23/1.79 % (3970817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.23/1.79 % (3970817)CaDiCaL version: 2.1.3
% 9.23/1.79 % (3970817)Termination reason: Instruction limit
% 9.23/1.79 % (3970817)Termination phase: Saturation
% 9.23/1.79 % (3970817)Time elapsed: 0.126 s
% 9.23/1.79 % (3970817)Peak memory usage: 12 MB
% 9.23/1.79 % (3970817)Instructions burned: 242 (million)
% 9.23/1.79 % (3970835)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=1883359908: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_2988 on theBenchmark for (2988ds/2470Mi)
% 9.23/1.79 % (3970820)Instruction limit reached!
% 9.23/1.79 % (3970820)------------------------------
% 9.23/1.79 % (3970820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.23/1.79 % (3970820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.23/1.79 % (3970820)CaDiCaL version: 2.1.3
% 9.23/1.79 % (3970820)Termination reason: Instruction limit
% 9.23/1.79 % (3970820)Termination phase: Saturation
% 9.23/1.79 % (3970820)Time elapsed: 0.190 s
% 9.23/1.79 % (3970820)Peak memory usage: 13 MB
% 9.23/1.79 % (3970820)Instructions burned: 808 (million)
% 9.23/1.79 % (3970837)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=4107000444:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2987 on theBenchmark for (2987ds/673Mi)
% 9.23/1.79 % (3970833)Instruction limit reached!
% 9.23/1.79 % (3970833)------------------------------
% 9.87/1.92 % (3970833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.87/1.92 % (3970833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/1.92 % (3970833)CaDiCaL version: 2.1.3
% 9.87/1.92 % (3970833)Termination reason: Instruction limit
% 9.87/1.92 % (3970833)Termination phase: Saturation
% 9.87/1.92 % (3970833)Time elapsed: 0.132 s
% 9.87/1.92 % (3970833)Peak memory usage: 13 MB
% 9.87/1.92 % (3970833)Instructions burned: 253 (million)
% 9.87/1.92 % (3970839)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3143824697:i=116:ep=RSTC:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/116Mi)
% 9.87/1.92 % (3970823)Instruction limit reached!
% 9.87/1.92 % (3970823)------------------------------
% 9.87/1.92 % (3970823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.87/1.92 % (3970823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/1.92 % (3970823)CaDiCaL version: 2.1.3
% 9.87/1.92 % (3970823)Termination reason: Instruction limit
% 9.87/1.92 % (3970823)Termination phase: Saturation
% 9.87/1.92 % (3970823)Time elapsed: 0.258 s
% 9.87/1.92 % (3970823)Peak memory usage: 12 MB
% 9.87/1.92 % (3970823)Instructions burned: 355 (million)
% 9.87/1.92 % (3970839)Instruction limit reached!
% 9.87/1.92 % (3970839)------------------------------
% 9.87/1.92 % (3970839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.87/1.92 % (3970839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/1.92 % (3970839)CaDiCaL version: 2.1.3
% 9.87/1.92 % (3970839)Termination reason: Instruction limit
% 9.87/1.92 % (3970839)Termination phase: Saturation
% 9.87/1.92 % (3970839)Time elapsed: 0.053 s
% 9.87/1.92 % (3970839)Peak memory usage: 12 MB
% 9.87/1.92 % (3970839)Instructions burned: 116 (million)
% 9.87/1.92 % (3970841)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2663983693:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2986 on theBenchmark for (2986ds/270Mi)
% 9.87/1.92 % (3970842)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=1344819807: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_2986 on theBenchmark for (2986ds/30Mi)
% 9.87/1.92 % (3970788)Instruction limit reached!
% 9.87/1.92 % (3970788)------------------------------
% 9.87/1.92 % (3970788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.87/1.92 % (3970788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/1.92 % (3970788)CaDiCaL version: 2.1.3
% 9.87/1.92 % (3970788)Termination reason: Instruction limit
% 9.87/1.92 % (3970788)Termination phase: Saturation
% 9.87/1.92 % (3970788)Time elapsed: 0.571 s
% 9.87/1.92 % (3970788)Peak memory usage: 15 MB
% 9.87/1.92 % (3970788)Instructions burned: 865 (million)
% 9.87/1.92 % (3970837)Instruction limit reached!
% 9.87/1.92 % (3970837)------------------------------
% 9.87/1.92 % (3970837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.87/1.92 % (3970837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/1.92 % (3970837)CaDiCaL version: 2.1.3
% 9.87/1.92 % (3970837)Termination reason: Instruction limit
% 9.87/1.92 % (3970837)Termination phase: Saturation
% 9.87/1.92 % (3970837)Time elapsed: 0.136 s
% 9.87/1.92 % (3970837)Peak memory usage: 12 MB
% 9.87/1.92 % (3970837)Instructions burned: 678 (million)
% 9.87/1.92 % (3970842)Instruction limit reached!
% 9.87/1.92 % (3970842)------------------------------
% 9.87/1.92 % (3970842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.87/1.92 % (3970842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.87/1.92 % (3970842)CaDiCaL version: 2.1.3
% 9.87/1.92 % (3970842)Termination reason: Instruction limit
% 9.87/1.92 % (3970842)Termination phase: Saturation
% 9.87/1.92 % (3970842)Time elapsed: 0.024 s
% 9.87/1.92 % (3970842)Peak memory usage: 12 MB
% 9.87/1.92 % (3970842)Instructions burned: 31 (million)
% 9.87/1.92 % (3970846)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2858030168:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2985 on theBenchmark for (2985ds/365Mi)
% 9.87/1.92 % (3970847)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=402144020:i=158:av=off:rtra=on_2985 on theBenchmark for (2985ds/158Mi)
% 12.28/2.05 % (3970845)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 12.28/2.05 % (3970845)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1094994231:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2986 on theBenchmark for (2986ds/39Mi)
% 12.28/2.05 % (3970847)Instruction limit reached!
% 12.28/2.05 % (3970847)------------------------------
% 12.28/2.05 % (3970847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.28/2.05 % (3970847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.05 % (3970847)CaDiCaL version: 2.1.3
% 12.28/2.05 % (3970847)Termination reason: Instruction limit
% 12.28/2.05 % (3970847)Termination phase: Saturation
% 12.28/2.05 % (3970847)Time elapsed: 0.035 s
% 12.28/2.05 % (3970847)Peak memory usage: 11 MB
% 12.28/2.05 % (3970847)Instructions burned: 160 (million)
% 12.28/2.05 % (3970851)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
% 12.28/2.05 % (3970851)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=190972578:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/252Mi)
% 12.28/2.05 % (3970845)Instruction limit reached!
% 12.28/2.05 % (3970845)------------------------------
% 12.28/2.05 % (3970845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.28/2.05 % (3970845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.05 % (3970845)CaDiCaL version: 2.1.3
% 12.28/2.05 % (3970845)Termination reason: Instruction limit
% 12.28/2.05 % (3970845)Termination phase: Saturation
% 12.28/2.05 % (3970845)Time elapsed: 0.045 s
% 12.28/2.05 % (3970845)Peak memory usage: 12 MB
% 12.28/2.05 % (3970845)Instructions burned: 40 (million)
% 12.28/2.05 % (3970853)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=3439335950:i=213:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/213Mi)
% 12.28/2.05 % (3970853)Refutation not found, incomplete strategy
% 12.28/2.05 % (3970853)------------------------------
% 12.28/2.05 % (3970853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.28/2.05 % (3970853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.05 % (3970853)CaDiCaL version: 2.1.3
% 12.28/2.05 % (3970853)Termination reason: Refutation not found, incomplete strategy
% 12.28/2.05 % (3970853)Time elapsed: 0.001 s
% 12.28/2.05 % (3970853)Peak memory usage: 11 MB
% 12.28/2.05 % (3970853)------------------------------
% 12.28/2.05 % (3970853)------------------------------
% 12.28/2.05 % (3970855)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=2546341809:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2985 on theBenchmark for (2985ds/160Mi)
% 12.28/2.05 % (3970855)Refutation not found, incomplete strategy
% 12.28/2.05 % (3970855)------------------------------
% 12.28/2.05 % (3970855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.28/2.05 % (3970855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.05 % (3970855)CaDiCaL version: 2.1.3
% 12.28/2.05 % (3970855)Termination reason: Refutation not found, incomplete strategy
% 12.28/2.05 % (3970855)Time elapsed: 0.001 s
% 12.28/2.05 % (3970855)Peak memory usage: 11 MB
% 12.28/2.05 % (3970855)Instructions burned: 1 (million)
% 12.28/2.05 % (3970855)------------------------------
% 12.28/2.05 % (3970855)------------------------------
% 12.28/2.05 % (3970851)Instruction limit reached!
% 12.28/2.05 % (3970851)------------------------------
% 12.28/2.05 % (3970851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.28/2.05 % (3970851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.28/2.05 % (3970851)CaDiCaL version: 2.1.3
% 12.28/2.05 % (3970851)Termination reason: Instruction limit
% 12.28/2.05 % (3970851)Termination phase: Saturation
% 12.28/2.05 % (3970851)Time elapsed: 0.054 s
% 12.28/2.05 % (3970851)Peak memory usage: 12 MB
% 12.28/2.05 % (3970851)Instructions burned: 254 (million)
% 12.28/2.05 % (3970841)Instruction limit reached!
% 12.28/2.05 % (3970841)------------------------------
% 12.28/2.05 % (3970841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.28/2.05 % (3970841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.15 % (3970841)CaDiCaL version: 2.1.3
% 12.87/2.15 % (3970841)Termination reason: Instruction limit
% 12.87/2.15 % (3970841)Termination phase: Saturation
% 12.87/2.15 % (3970841)Time elapsed: 0.159 s
% 12.87/2.15 % (3970841)Peak memory usage: 12 MB
% 12.87/2.15 % (3970841)Instructions burned: 270 (million)
% 12.87/2.15 % (3970858)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 12.87/2.15 % (3970858)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=1908414337:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2984 on theBenchmark for (2984ds/237Mi)
% 12.87/2.15 % (3970858)Refutation not found, incomplete strategy
% 12.87/2.15 % (3970858)------------------------------
% 12.87/2.15 % (3970858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.87/2.15 % (3970858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.15 % (3970858)CaDiCaL version: 2.1.3
% 12.87/2.15 % (3970858)Termination reason: Refutation not found, incomplete strategy
% 12.87/2.15 % (3970858)Time elapsed: 0.0000 s
% 12.87/2.15 % (3970858)Peak memory usage: 11 MB
% 12.87/2.15 % (3970858)------------------------------
% 12.87/2.15 % (3970858)------------------------------
% 12.87/2.15 % (3970857)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=1410945813:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/763Mi)
% 12.87/2.15 % (3970859)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=42585852:s2a=on:i=386:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/386Mi)
% 12.87/2.15 % (3970861)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=890176688:i=300:piset=and:nm=32:rtra=on_2984 on theBenchmark for (2984ds/300Mi)
% 12.87/2.15 % (3970861)Instruction limit reached!
% 12.87/2.15 % (3970861)------------------------------
% 12.87/2.15 % (3970861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.87/2.15 % (3970861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.15 % (3970861)CaDiCaL version: 2.1.3
% 12.87/2.15 % (3970861)Termination reason: Instruction limit
% 12.87/2.15 % (3970861)Termination phase: Saturation
% 12.87/2.15 % (3970861)Time elapsed: 0.070 s
% 12.87/2.15 % (3970861)Peak memory usage: 12 MB
% 12.87/2.15 % (3970861)Instructions burned: 305 (million)
% 12.87/2.15 % (3970865)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=2082473970:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/567Mi)
% 12.87/2.15 % (3970865)Refutation not found, incomplete strategy
% 12.87/2.15 % (3970865)------------------------------
% 12.87/2.15 % (3970865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.87/2.15 % (3970865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.15 % (3970865)CaDiCaL version: 2.1.3
% 12.87/2.15 % (3970865)Termination reason: Refutation not found, incomplete strategy
% 12.87/2.15 % (3970865)Time elapsed: 0.0000 s
% 12.87/2.15 % (3970865)Peak memory usage: 11 MB
% 12.87/2.15 % (3970865)Instructions burned: 1 (million)
% 12.87/2.15 % (3970865)------------------------------
% 12.87/2.15 % (3970865)------------------------------
% 12.87/2.15 % (3970867)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1334600335:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2983 on theBenchmark for (2983ds/379Mi)
% 12.87/2.15 % (3970867)Refutation not found, incomplete strategy
% 12.87/2.15 % (3970867)------------------------------
% 12.87/2.15 % (3970867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.87/2.15 % (3970867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.15 % (3970867)CaDiCaL version: 2.1.3
% 12.87/2.15 % (3970867)Termination reason: Refutation not found, incomplete strategy
% 12.87/2.15 % (3970867)Time elapsed: 0.0000 s
% 12.87/2.15 % (3970867)Peak memory usage: 11 MB
% 12.87/2.15 % (3970867)------------------------------
% 12.87/2.15 % (3970867)------------------------------
% 12.87/2.15 % (3970869)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2827860518:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2983 on theBenchmark for (2983ds/429Mi)
% 12.87/2.15 % (3970846)Instruction limit reached!
% 12.87/2.15 % (3970846)------------------------------
% 13.38/2.29 % (3970846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.38/2.29 % (3970846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.29 % (3970846)CaDiCaL version: 2.1.3
% 13.38/2.29 % (3970846)Termination reason: Instruction limit
% 13.38/2.29 % (3970846)Termination phase: Saturation
% 13.38/2.29 % (3970846)Time elapsed: 0.235 s
% 13.38/2.29 % (3970846)Peak memory usage: 13 MB
% 13.38/2.29 % (3970846)Instructions burned: 365 (million)
% 13.38/2.29 % (3970871)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=1342930666:i=478:bd=all:rtra=on_2983 on theBenchmark for (2983ds/478Mi)
% 13.38/2.29 % (3970871)Refutation not found, incomplete strategy
% 13.38/2.29 % (3970871)------------------------------
% 13.38/2.29 % (3970871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.38/2.29 % (3970871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.29 % (3970871)CaDiCaL version: 2.1.3
% 13.38/2.29 % (3970871)Termination reason: Refutation not found, incomplete strategy
% 13.38/2.29 % (3970871)Time elapsed: 0.002 s
% 13.38/2.29 % (3970871)Peak memory usage: 12 MB
% 13.38/2.29 % (3970871)Instructions burned: 1 (million)
% 13.38/2.29 % (3970871)------------------------------
% 13.38/2.29 % (3970871)------------------------------
% 13.38/2.29 % (3970859)Instruction limit reached!
% 13.38/2.29 % (3970859)------------------------------
% 13.38/2.29 % (3970859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.38/2.29 % (3970859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.29 % (3970859)CaDiCaL version: 2.1.3
% 13.38/2.29 % (3970859)Termination reason: Instruction limit
% 13.38/2.29 % (3970859)Termination phase: Saturation
% 13.38/2.29 % (3970859)Time elapsed: 0.177 s
% 13.38/2.29 % (3970859)Peak memory usage: 12 MB
% 13.38/2.29 % (3970859)Instructions burned: 386 (million)
% 13.38/2.29 % (3970873)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2160036900:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2983 on theBenchmark for (2983ds/445Mi)
% 13.38/2.29 % (3970874)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3588932194:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2982 on theBenchmark for (2982ds/71Mi)
% 13.38/2.29 % (3970869)Instruction limit reached!
% 13.38/2.29 % (3970869)------------------------------
% 13.38/2.29 % (3970869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.38/2.29 % (3970869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.29 % (3970869)CaDiCaL version: 2.1.3
% 13.38/2.29 % (3970869)Termination reason: Instruction limit
% 13.38/2.29 % (3970869)Termination phase: Saturation
% 13.38/2.29 % (3970869)Time elapsed: 0.107 s
% 13.38/2.29 % (3970869)Peak memory usage: 12 MB
% 13.38/2.29 % (3970869)Instructions burned: 433 (million)
% 13.38/2.29 % (3970877)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3244063433:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/302Mi)
% 13.38/2.29 % (3970877)Refutation not found, incomplete strategy
% 13.38/2.29 % (3970877)------------------------------
% 13.38/2.29 % (3970877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.38/2.29 % (3970877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.29 % (3970877)CaDiCaL version: 2.1.3
% 13.38/2.29 % (3970877)Termination reason: Refutation not found, incomplete strategy
% 13.38/2.29 % (3970877)Time elapsed: 0.0000 s
% 13.38/2.29 % (3970877)Peak memory usage: 11 MB
% 13.38/2.29 % (3970877)------------------------------
% 13.38/2.29 % (3970877)------------------------------
% 13.38/2.29 % (3970879)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=2197026145:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/4980Mi)
% 13.38/2.29 % (3970874)Instruction limit reached!
% 13.38/2.29 % (3970874)------------------------------
% 13.38/2.29 % (3970874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.38/2.29 % (3970874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.38/2.29 % (3970874)CaDiCaL version: 2.1.3
% 13.38/2.29 % (3970874)Termination reason: Instruction limit
% 13.38/2.29 % (3970874)Termination phase: Saturation
% 13.38/2.29 % (3970874)Time elapsed: 0.039 s
% 13.38/2.29 % (3970874)Peak memory usage: 12 MB
% 13.38/2.29 % (3970874)Instructions burned: 71 (million)
% 13.38/2.29 % (3970879)Refutation not found, incomplete strategy
% 13.38/2.29 % (3970879)------------------------------
% 14.26/2.45 % (3970879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.26/2.45 % (3970879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/2.45 % (3970879)CaDiCaL version: 2.1.3
% 14.26/2.45 % (3970879)Termination reason: Refutation not found, incomplete strategy
% 14.26/2.45 % (3970879)Time elapsed: 0.0000 s
% 14.26/2.45 % (3970879)Peak memory usage: 11 MB
% 14.26/2.45 % (3970879)------------------------------
% 14.26/2.45 % (3970879)------------------------------
% 14.26/2.45 % (3970882)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=219320422:i=76:piset=equals:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/76Mi)
% 14.26/2.45 % (3970881)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
% 14.26/2.45 % (3970881)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 14.26/2.45 % (3970881)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2786975408:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2982 on theBenchmark for (2982ds/100Mi)
% 14.26/2.45 % (3970882)Instruction limit reached!
% 14.26/2.45 % (3970882)------------------------------
% 14.26/2.45 % (3970882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.26/2.45 % (3970882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/2.45 % (3970882)CaDiCaL version: 2.1.3
% 14.26/2.45 % (3970882)Termination reason: Instruction limit
% 14.26/2.45 % (3970882)Termination phase: Saturation
% 14.26/2.45 % (3970882)Time elapsed: 0.020 s
% 14.26/2.45 % (3970882)Peak memory usage: 12 MB
% 14.26/2.45 % (3970882)Instructions burned: 79 (million)
% 14.26/2.45 % (3970885)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=3367967606:i=289:rtra=on_2981 on theBenchmark for (2981ds/289Mi)
% 14.26/2.45 % (3970885)Refutation not found, incomplete strategy
% 14.26/2.45 % (3970885)------------------------------
% 14.26/2.45 % (3970885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.26/2.45 % (3970885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/2.45 % (3970885)CaDiCaL version: 2.1.3
% 14.26/2.45 % (3970885)Termination reason: Refutation not found, incomplete strategy
% 14.26/2.45 % (3970885)Time elapsed: 0.0000 s
% 14.26/2.45 % (3970885)Peak memory usage: 11 MB
% 14.26/2.45 % (3970885)Instructions burned: 1 (million)
% 14.26/2.45 % (3970885)------------------------------
% 14.26/2.45 % (3970885)------------------------------
% 14.26/2.45 % (3970887)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=3187555250:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2981 on theBenchmark for (2981ds/493Mi)
% 14.26/2.45 % (3970857)Instruction limit reached!
% 14.26/2.45 % (3970857)------------------------------
% 14.26/2.45 % (3970857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.26/2.45 % (3970857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/2.45 % (3970857)CaDiCaL version: 2.1.3
% 14.26/2.45 % (3970857)Termination reason: Instruction limit
% 14.26/2.45 % (3970857)Termination phase: Saturation
% 14.26/2.45 % (3970857)Time elapsed: 0.316 s
% 14.26/2.45 % (3970857)Peak memory usage: 13 MB
% 14.26/2.45 % (3970857)Instructions burned: 764 (million)
% 14.26/2.45 % (3970881)Instruction limit reached!
% 14.26/2.45 % (3970881)------------------------------
% 14.26/2.45 % (3970881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.26/2.45 % (3970881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/2.45 % (3970881)CaDiCaL version: 2.1.3
% 14.26/2.45 % (3970881)Termination reason: Instruction limit
% 14.26/2.45 % (3970881)Termination phase: Saturation
% 14.26/2.45 % (3970881)Time elapsed: 0.072 s
% 14.26/2.45 % (3970881)Peak memory usage: 12 MB
% 14.26/2.45 % (3970881)Instructions burned: 101 (million)
% 14.26/2.45 % (3970896)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=922353035:cond=on:i=34:hud=10:nm=10:rtra=on_2981 on theBenchmark for (2981ds/34Mi)
% 15.22/2.78 % (3970897)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 15.22/2.78 % (3970897)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=381319482:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2981 on theBenchmark for (2981ds/372Mi)
% 15.22/2.78 % (3970897)Refutation not found, incomplete strategy
% 15.22/2.78 % (3970897)------------------------------
% 15.22/2.78 % (3970897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/2.78 % (3970897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/2.78 % (3970897)CaDiCaL version: 2.1.3
% 15.22/2.78 % (3970897)Termination reason: Refutation not found, incomplete strategy
% 15.22/2.78 % (3970897)Time elapsed: 0.002 s
% 15.22/2.78 % (3970897)Peak memory usage: 12 MB
% 15.22/2.78 % (3970897)Instructions burned: 2 (million)
% 15.22/2.78 % (3970897)------------------------------
% 15.22/2.78 % (3970897)------------------------------
% 15.22/2.78 % (3970896)Instruction limit reached!
% 15.22/2.78 % (3970896)------------------------------
% 15.22/2.78 % (3970896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/2.78 % (3970896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/2.78 % (3970896)CaDiCaL version: 2.1.3
% 15.22/2.78 % (3970896)Termination reason: Instruction limit
% 15.22/2.78 % (3970896)Termination phase: Saturation
% 15.22/2.78 % (3970896)Time elapsed: 0.030 s
% 15.22/2.78 % (3970896)Peak memory usage: 12 MB
% 15.22/2.78 % (3970896)Instructions burned: 35 (million)
% 15.22/2.78 % (3970900)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=2355539835:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2981 on theBenchmark for (2981ds/670Mi)
% 15.22/2.78 % (3970901)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2498683400:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2980 on theBenchmark for (2980ds/647Mi)
% 15.22/2.78 % (3970901)Refutation not found, incomplete strategy
% 15.22/2.78 % (3970901)------------------------------
% 15.22/2.78 % (3970901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/2.78 % (3970901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/2.78 % (3970901)CaDiCaL version: 2.1.3
% 15.22/2.78 % (3970901)Termination reason: Refutation not found, incomplete strategy
% 15.22/2.78 % (3970901)Time elapsed: 0.001 s
% 15.22/2.78 % (3970901)Peak memory usage: 11 MB
% 15.22/2.78 % (3970901)------------------------------
% 15.22/2.78 % (3970901)------------------------------
% 15.22/2.78 % (3970904)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=3896127764:i=857:add=off:kws=frequency:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/857Mi)
% 15.22/2.78 % (3970816)Instruction limit reached!
% 15.22/2.78 % (3970816)------------------------------
% 15.22/2.78 % (3970816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/2.78 % (3970816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/2.78 % (3970816)CaDiCaL version: 2.1.3
% 15.22/2.78 % (3970816)Termination reason: Instruction limit
% 15.22/2.78 % (3970816)Termination phase: Saturation
% 15.22/2.78 % (3970816)Time elapsed: 0.959 s
% 15.22/2.78 % (3970816)Peak memory usage: 13 MB
% 15.22/2.78 % (3970816)Instructions burned: 2186 (million)
% 15.22/2.78 % (3970873)Instruction limit reached!
% 15.22/2.78 % (3970873)------------------------------
% 15.22/2.78 % (3970873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/2.78 % (3970873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/2.78 % (3970873)CaDiCaL version: 2.1.3
% 15.22/2.78 % (3970873)Termination reason: Instruction limit
% 15.22/2.78 % (3970873)Termination phase: Saturation
% 15.22/2.78 % (3970873)Time elapsed: 0.283 s
% 15.22/2.78 % (3970873)Peak memory usage: 14 MB
% 15.22/2.78 % (3970873)Instructions burned: 445 (million)
% 15.22/2.78 % (3970887)Instruction limit reached!
% 15.22/2.78 % (3970887)------------------------------
% 15.22/2.78 % (3970887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.22/2.78 % (3970887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.22/2.78 % (3970887)CaDiCaL version: 2.1.3
% 15.22/2.78 % (3970887)Termination reason: Instruction limit
% 16.82/2.97 % (3970887)Termination phase: Saturation
% 16.82/2.97 % (3970887)Time elapsed: 0.185 s
% 16.82/2.97 % (3970887)Peak memory usage: 13 MB
% 16.82/2.97 % (3970887)Instructions burned: 495 (million)
% 16.82/2.97 % (3970907)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=1596209978:i=285:hud=10:bd=all:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/285Mi)
% 16.82/2.97 % (3970907)Refutation not found, incomplete strategy
% 16.82/2.97 % (3970907)------------------------------
% 16.82/2.97 % (3970907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.82/2.97 % (3970907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.82/2.97 % (3970907)CaDiCaL version: 2.1.3
% 16.82/2.97 % (3970907)Termination reason: Refutation not found, incomplete strategy
% 16.82/2.97 % (3970907)Time elapsed: 0.001 s
% 16.82/2.97 % (3970907)Peak memory usage: 11 MB
% 16.82/2.97 % (3970907)Instructions burned: 1 (million)
% 16.82/2.97 % (3970907)------------------------------
% 16.82/2.97 % (3970907)------------------------------
% 16.82/2.97 % (3970908)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 16.82/2.97 % (3970908)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=3524008260:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2979 on theBenchmark for (2979ds/52Mi)
% 16.82/2.97 % (3970906)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=3434693561:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2979 on theBenchmark for (2979ds/693Mi)
% 16.82/2.97 % (3970910)dis+10_1_si=on:random_seed=1423348108:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2979 on theBenchmark for (2979ds/407Mi)
% 16.82/2.97 % (3970910)Refutation not found, incomplete strategy
% 16.82/2.97 % (3970910)------------------------------
% 16.82/2.97 % (3970910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.82/2.97 % (3970910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.82/2.97 % (3970910)CaDiCaL version: 2.1.3
% 16.82/2.97 % (3970910)Termination reason: Refutation not found, incomplete strategy
% 16.82/2.97 % (3970910)Time elapsed: 0.001 s
% 16.82/2.97 % (3970910)Peak memory usage: 11 MB
% 16.82/2.97 % (3970910)------------------------------
% 16.82/2.97 % (3970910)------------------------------
% 16.82/2.97 % (3970908)Instruction limit reached!
% 16.82/2.97 % (3970908)------------------------------
% 16.82/2.97 % (3970908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.82/2.97 % (3970908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.82/2.97 % (3970908)CaDiCaL version: 2.1.3
% 16.82/2.97 % (3970908)Termination reason: Instruction limit
% 16.82/2.97 % (3970908)Termination phase: Saturation
% 16.82/2.97 % (3970908)Time elapsed: 0.019 s
% 16.82/2.97 % (3970908)Peak memory usage: 12 MB
% 16.82/2.97 % (3970908)Instructions burned: 55 (million)
% 16.82/2.97 % (3970915)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=2147870962:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/2240Mi)
% 16.82/2.97 % (3970916)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3583426253:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2979 on theBenchmark for (2979ds/336Mi)
% 16.82/2.97 % (3970916)Refutation not found, incomplete strategy
% 16.82/2.97 % (3970916)------------------------------
% 16.82/2.97 % (3970916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.82/2.97 % (3970916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.82/2.97 % (3970916)CaDiCaL version: 2.1.3
% 16.82/2.97 % (3970916)Termination reason: Refutation not found, incomplete strategy
% 16.82/2.97 % (3970916)Time elapsed: 0.001 s
% 16.82/2.97 % (3970916)Peak memory usage: 11 MB
% 16.82/2.97 % (3970916)------------------------------
% 16.82/2.97 % (3970916)------------------------------
% 16.82/2.97 % (3970919)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=2256245156:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2979 on theBenchmark for (2979ds/1142Mi)
% 16.82/2.97 % (3970900)Instruction limit reached!
% 16.82/2.97 % (3970900)------------------------------
% 16.82/2.97 % (3970900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.42/3.25 % (3970900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.42/3.25 % (3970900)CaDiCaL version: 2.1.3
% 20.42/3.25 % (3970900)Termination reason: Instruction limit
% 20.42/3.25 % (3970900)Termination phase: Saturation
% 20.42/3.25 % (3970900)Time elapsed: 0.257 s
% 20.42/3.25 % (3970900)Peak memory usage: 12 MB
% 20.42/3.25 % (3970900)Instructions burned: 670 (million)
% 20.42/3.25 % (3970921)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=1593794474:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2978 on theBenchmark for (2978ds/376Mi)
% 20.42/3.25 % (3970921)Refutation not found, incomplete strategy
% 20.42/3.25 % (3970921)------------------------------
% 20.42/3.25 % (3970921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.42/3.25 % (3970921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.42/3.25 % (3970921)CaDiCaL version: 2.1.3
% 20.42/3.25 % (3970921)Termination reason: Refutation not found, incomplete strategy
% 20.42/3.25 % (3970921)Time elapsed: 0.001 s
% 20.42/3.25 % (3970921)Peak memory usage: 11 MB
% 20.42/3.25 % (3970921)------------------------------
% 20.42/3.25 % (3970921)------------------------------
% 20.42/3.25 % (3970923)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=804461343:i=766:bd=all:rtra=on_2977 on theBenchmark for (2977ds/766Mi)
% 20.42/3.25 % (3970923)Refutation not found, incomplete strategy
% 20.42/3.25 % (3970923)------------------------------
% 20.42/3.25 % (3970923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.42/3.25 % (3970923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.42/3.25 % (3970923)CaDiCaL version: 2.1.3
% 20.42/3.25 % (3970923)Termination reason: Refutation not found, incomplete strategy
% 20.42/3.25 % (3970923)Time elapsed: 0.001 s
% 20.42/3.25 % (3970923)Peak memory usage: 12 MB
% 20.42/3.25 % (3970923)Instructions burned: 1 (million)
% 20.42/3.25 % (3970923)------------------------------
% 20.42/3.25 % (3970923)------------------------------
% 20.42/3.25 % (3970925)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 20.42/3.25 % (3970925)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=2048758644: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_2977 on theBenchmark for (2977ds/959Mi)
% 20.42/3.25 % (3970925)Refutation not found, incomplete strategy
% 20.42/3.25 % (3970925)------------------------------
% 20.42/3.25 % (3970925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.42/3.25 % (3970925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.42/3.25 % (3970925)CaDiCaL version: 2.1.3
% 20.42/3.25 % (3970925)Termination reason: Refutation not found, incomplete strategy
% 20.42/3.25 % (3970925)Time elapsed: 0.001 s
% 20.42/3.25 % (3970925)Peak memory usage: 11 MB
% 20.42/3.25 % (3970925)------------------------------
% 20.42/3.25 % (3970925)------------------------------
% 20.42/3.25 % (3970927)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=2238168272:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2977 on theBenchmark for (2977ds/6359Mi)
% 20.42/3.25 % (3970904)Instruction limit reached!
% 20.42/3.26 % (3970904)------------------------------
% 20.42/3.26 % (3970904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.42/3.26 % (3970904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.42/3.26 % (3970904)CaDiCaL version: 2.1.3
% 20.42/3.26 % (3970904)Termination reason: Instruction limit
% 20.42/3.26 % (3970904)Termination phase: Saturation
% 20.42/3.26 % (3970904)Time elapsed: 0.514 s
% 20.42/3.26 % (3970904)Peak memory usage: 12 MB
% 20.42/3.26 % (3970904)Instructions burned: 858 (million)
% 20.42/3.26 % (3970929)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1673164982:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2975 on theBenchmark for (2975ds/35Mi)
% 20.42/3.26 % (3970929)Refutation not found, incomplete strategy
% 20.42/3.26 % (3970929)------------------------------
% 20.42/3.26 % (3970929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.42/3.26 % (3970929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.42/3.26 % (3970929)CaDiCaL version: 2.1.3
% 20.93/3.39 % (3970929)Termination reason: Refutation not found, incomplete strategy
% 20.93/3.39 % (3970929)Time elapsed: 0.001 s
% 20.93/3.39 % (3970929)Peak memory usage: 11 MB
% 20.93/3.39 % (3970929)------------------------------
% 20.93/3.39 % (3970929)------------------------------
% 20.93/3.39 % (3970906)Instruction limit reached!
% 20.93/3.39 % (3970906)------------------------------
% 20.93/3.39 % (3970906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.93/3.39 % (3970906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.93/3.39 % (3970906)CaDiCaL version: 2.1.3
% 20.93/3.39 % (3970906)Termination reason: Instruction limit
% 20.93/3.39 % (3970906)Termination phase: Saturation
% 20.93/3.39 % (3970906)Time elapsed: 0.471 s
% 20.93/3.39 % (3970906)Peak memory usage: 12 MB
% 20.93/3.39 % (3970906)Instructions burned: 694 (million)
% 20.93/3.39 % (3970932)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=2262959029:s2a=on:i=876:s2at=6:nm=2:rtra=on_2974 on theBenchmark for (2974ds/876Mi)
% 20.93/3.39 % (3970931)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3502576293:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2974 on theBenchmark for (2974ds/53Mi)
% 20.93/3.39 % (3970931)Instruction limit reached!
% 20.93/3.39 % (3970931)------------------------------
% 20.93/3.39 % (3970931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.93/3.39 % (3970931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.93/3.39 % (3970931)CaDiCaL version: 2.1.3
% 20.93/3.39 % (3970931)Termination reason: Instruction limit
% 20.93/3.39 % (3970931)Termination phase: Saturation
% 20.93/3.39 % (3970931)Time elapsed: 0.050 s
% 20.93/3.39 % (3970931)Peak memory usage: 12 MB
% 20.93/3.39 % (3970931)Instructions burned: 53 (million)
% 20.93/3.39 % (3970935)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2309003363:i=57:ep=R:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/57Mi)
% 20.93/3.39 % (3970935)Instruction limit reached!
% 20.93/3.39 % (3970935)------------------------------
% 20.93/3.39 % (3970935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.93/3.39 % (3970935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.93/3.39 % (3970935)CaDiCaL version: 2.1.3
% 20.93/3.39 % (3970935)Termination reason: Instruction limit
% 20.93/3.39 % (3970935)Termination phase: Saturation
% 20.93/3.39 % (3970935)Time elapsed: 0.029 s
% 20.93/3.39 % (3970935)Peak memory usage: 12 MB
% 20.93/3.39 % (3970935)Instructions burned: 57 (million)
% 20.93/3.39 % (3970937)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 20.93/3.39 % (3970937)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=4260722909:i=306:bd=all:rtra=on_2973 on theBenchmark for (2973ds/306Mi)
% 20.93/3.39 % (3970937)Refutation not found, incomplete strategy
% 20.93/3.39 % (3970937)------------------------------
% 20.93/3.39 % (3970937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.93/3.39 % (3970937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.93/3.39 % (3970937)CaDiCaL version: 2.1.3
% 20.93/3.39 % (3970937)Termination reason: Refutation not found, incomplete strategy
% 20.93/3.39 % (3970937)Time elapsed: 0.001 s
% 20.93/3.39 % (3970937)Peak memory usage: 12 MB
% 20.93/3.39 % (3970937)Instructions burned: 1 (million)
% 20.93/3.39 % (3970937)------------------------------
% 20.93/3.39 % (3970937)------------------------------
% 20.93/3.39 % (3970939)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=665265452:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/262Mi)
% 20.93/3.39 % (3970939)Refutation not found, incomplete strategy
% 20.93/3.39 % (3970939)------------------------------
% 20.93/3.39 % (3970939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.93/3.39 % (3970939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.93/3.39 % (3970939)CaDiCaL version: 2.1.3
% 20.93/3.39 % (3970939)Termination reason: Refutation not found, incomplete strategy
% 20.93/3.39 % (3970939)Time elapsed: 0.001 s
% 20.93/3.39 % (3970939)Peak memory usage: 11 MB
% 20.93/3.39 % (3970939)------------------------------
% 20.93/3.39 % (3970939)------------------------------
% 20.93/3.39 % (3970941)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 22.30/3.52 % (3970941)ott+1002_16_sil=128000:si=on:random_seed=610436047:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2973 on theBenchmark for (2973ds/409Mi)
% 22.30/3.52 % (3970919)Instruction limit reached!
% 22.30/3.52 % (3970919)------------------------------
% 22.30/3.52 % (3970919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/3.52 % (3970919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/3.52 % (3970919)CaDiCaL version: 2.1.3
% 22.30/3.52 % (3970919)Termination reason: Instruction limit
% 22.30/3.52 % (3970919)Termination phase: Saturation
% 22.30/3.52 % (3970919)Time elapsed: 0.737 s
% 22.30/3.52 % (3970919)Peak memory usage: 14 MB
% 22.30/3.52 % (3970919)Instructions burned: 1144 (million)
% 22.30/3.52 % (3970932)Instruction limit reached!
% 22.30/3.52 % (3970932)------------------------------
% 22.30/3.52 % (3970932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/3.52 % (3970932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/3.52 % (3970932)CaDiCaL version: 2.1.3
% 22.30/3.52 % (3970932)Termination reason: Instruction limit
% 22.30/3.52 % (3970932)Termination phase: Saturation
% 22.30/3.52 % (3970932)Time elapsed: 0.333 s
% 22.30/3.52 % (3970932)Peak memory usage: 13 MB
% 22.30/3.52 % (3970932)Instructions burned: 876 (million)
% 22.30/3.52 % (3970944)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3382997330:cond=on:i=324:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/324Mi)
% 22.30/3.52 % (3970943)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=3629467299:s2a=on:i=381:rtra=on_2971 on theBenchmark for (2971ds/381Mi)
% 22.30/3.52 % (3970941)Instruction limit reached!
% 22.30/3.52 % (3970941)------------------------------
% 22.30/3.52 % (3970941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/3.52 % (3970941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/3.52 % (3970941)CaDiCaL version: 2.1.3
% 22.30/3.52 % (3970941)Termination reason: Instruction limit
% 22.30/3.52 % (3970941)Termination phase: Saturation
% 22.30/3.52 % (3970941)Time elapsed: 0.237 s
% 22.30/3.52 % (3970941)Peak memory usage: 13 MB
% 22.30/3.52 % (3970941)Instructions burned: 410 (million)
% 22.30/3.52 % (3970835)Instruction limit reached!
% 22.30/3.52 % (3970835)------------------------------
% 22.30/3.52 % (3970835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/3.52 % (3970835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/3.52 % (3970835)CaDiCaL version: 2.1.3
% 22.30/3.52 % (3970835)Termination reason: Instruction limit
% 22.30/3.52 % (3970835)Termination phase: Saturation
% 22.30/3.52 % (3970835)Time elapsed: 1.751 s
% 22.30/3.52 % (3970835)Peak memory usage: 17 MB
% 22.30/3.52 % (3970835)Instructions burned: 2471 (million)
% 22.30/3.52 % (3970947)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=2072619952:i=240:kws=inv_precedence:rtra=on_2970 on theBenchmark for (2970ds/240Mi)
% 22.30/3.52 % (3970947)Refutation not found, incomplete strategy
% 22.30/3.52 % (3970947)------------------------------
% 22.30/3.52 % (3970947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/3.52 % (3970947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/3.52 % (3970947)CaDiCaL version: 2.1.3
% 22.30/3.52 % (3970947)Termination reason: Refutation not found, incomplete strategy
% 22.30/3.52 % (3970947)Time elapsed: 0.001 s
% 22.30/3.52 % (3970947)Peak memory usage: 12 MB
% 22.30/3.52 % (3970947)Instructions burned: 1 (million)
% 22.30/3.52 % (3970947)------------------------------
% 22.30/3.52 % (3970947)------------------------------
% 22.30/3.52 % (3970948)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 22.30/3.52 % (3970950)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=2090104735:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2970 on theBenchmark for (2970ds/223Mi)
% 22.30/3.52 % (3970944)Instruction limit reached!
% 22.30/3.52 % (3970944)------------------------------
% 22.30/3.52 % (3970944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/3.52 % (3970944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/3.52 % (3970944)CaDiCaL version: 2.1.3
% 22.30/3.52 % (3970944)Termination reason: Instruction limit
% 22.30/3.52 % (3970944)Termination phase: Saturation
% 22.30/3.52 % (3970944)Time elapsed: 0.102 s
% 23.13/3.73 % (3970944)Peak memory usage: 12 MB
% 23.13/3.73 % (3970944)Instructions burned: 325 (million)
% 23.13/3.73 % (3970948)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=337665661:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/124Mi)
% 23.13/3.73 % (3970953)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2466949630:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2970 on theBenchmark for (2970ds/282Mi)
% 23.13/3.73 % (3970948)Instruction limit reached!
% 23.13/3.73 % (3970948)------------------------------
% 23.13/3.73 % (3970948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.13/3.73 % (3970948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.13/3.73 % (3970948)CaDiCaL version: 2.1.3
% 23.13/3.73 % (3970948)Termination reason: Instruction limit
% 23.13/3.73 % (3970948)Termination phase: Saturation
% 23.13/3.73 % (3970948)Time elapsed: 0.086 s
% 23.13/3.73 % (3970948)Peak memory usage: 12 MB
% 23.13/3.73 % (3970948)Instructions burned: 124 (million)
% 23.13/3.73 % (3970943)Instruction limit reached!
% 23.13/3.73 % (3970943)------------------------------
% 23.13/3.73 % (3970943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.13/3.73 % (3970943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.13/3.73 % (3970943)CaDiCaL version: 2.1.3
% 23.13/3.73 % (3970943)Termination reason: Instruction limit
% 23.13/3.73 % (3970943)Termination phase: Saturation
% 23.13/3.73 % (3970943)Time elapsed: 0.192 s
% 23.13/3.73 % (3970943)Peak memory usage: 12 MB
% 23.13/3.73 % (3970943)Instructions burned: 384 (million)
% 23.13/3.73 % (3970950)Instruction limit reached!
% 23.13/3.73 % (3970950)------------------------------
% 23.13/3.73 % (3970950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.13/3.73 % (3970950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.13/3.73 % (3970950)CaDiCaL version: 2.1.3
% 23.13/3.73 % (3970950)Termination reason: Instruction limit
% 23.13/3.73 % (3970950)Termination phase: Saturation
% 23.13/3.73 % (3970950)Time elapsed: 0.108 s
% 23.13/3.73 % (3970950)Peak memory usage: 12 MB
% 23.13/3.73 % (3970950)Instructions burned: 224 (million)
% 23.13/3.73 % (3970955)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=3619491725:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2969 on theBenchmark for (2969ds/464Mi)
% 23.13/3.73 % (3970955)Refutation not found, incomplete strategy
% 23.13/3.73 % (3970955)------------------------------
% 23.13/3.73 % (3970955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.13/3.73 % (3970955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.13/3.73 % (3970955)CaDiCaL version: 2.1.3
% 23.13/3.73 % (3970955)Termination reason: Refutation not found, incomplete strategy
% 23.13/3.73 % (3970955)Time elapsed: 0.001 s
% 23.13/3.73 % (3970955)Peak memory usage: 11 MB
% 23.13/3.73 % (3970955)Instructions burned: 1 (million)
% 23.13/3.73 % (3970955)------------------------------
% 23.13/3.73 % (3970955)------------------------------
% 23.13/3.73 % (3970956)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=3350826827:i=88:s2at=3:nm=2:rtra=on:rawr=on_2969 on theBenchmark for (2969ds/88Mi)
% 23.13/3.73 % (3970958)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2040351250:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2969 on theBenchmark for (2969ds/280Mi)
% 23.13/3.73 % (3970960)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 23.13/3.73 % (3970960)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=598064509:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/4386Mi)
% 23.13/3.73 % (3970953)Instruction limit reached!
% 23.13/3.73 % (3970953)------------------------------
% 23.13/3.73 % (3970953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.13/3.73 % (3970953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.13/3.73 % (3970953)CaDiCaL version: 2.1.3
% 23.13/3.73 % (3970953)Termination reason: Instruction limit
% 23.13/3.73 % (3970953)Termination phase: Saturation
% 23.13/3.73 % (3970953)Time elapsed: 0.117 s
% 23.13/3.73 % (3970953)Peak memory usage: 12 MB
% 23.13/3.73 % (3970953)Instructions burned: 282 (million)
% 27.09/4.14 % (3970956)Instruction limit reached!
% 27.09/4.14 % (3970956)------------------------------
% 27.09/4.14 % (3970956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.09/4.14 % (3970956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.09/4.14 % (3970956)CaDiCaL version: 2.1.3
% 27.09/4.14 % (3970956)Termination reason: Instruction limit
% 27.09/4.14 % (3970956)Termination phase: Saturation
% 27.09/4.14 % (3970956)Time elapsed: 0.039 s
% 27.09/4.14 % (3970956)Peak memory usage: 12 MB
% 27.09/4.14 % (3970956)Instructions burned: 89 (million)
% 27.09/4.14 % (3970963)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 27.09/4.14 % (3970963)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 27.09/4.14 % (3970964)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1100136821:i=73:rtra=on_2968 on theBenchmark for (2968ds/73Mi)
% 27.09/4.14 % (3970964)Refutation not found, incomplete strategy
% 27.09/4.14 % (3970964)------------------------------
% 27.09/4.14 % (3970964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.09/4.14 % (3970964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.09/4.14 % (3970964)CaDiCaL version: 2.1.3
% 27.09/4.14 % (3970964)Termination reason: Refutation not found, incomplete strategy
% 27.09/4.14 % (3970964)Time elapsed: 0.001 s
% 27.09/4.14 % (3970964)Peak memory usage: 11 MB
% 27.09/4.14 % (3970964)Instructions burned: 1 (million)
% 27.09/4.14 % (3970964)------------------------------
% 27.09/4.14 % (3970964)------------------------------
% 27.09/4.14 % (3970963)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=3133510690:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2968 on theBenchmark for (2968ds/483Mi)
% 27.09/4.14 % (3970963)Refutation not found, incomplete strategy
% 27.09/4.14 % (3970963)------------------------------
% 27.09/4.14 % (3970963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.09/4.14 % (3970963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.09/4.14 % (3970963)CaDiCaL version: 2.1.3
% 27.09/4.14 % (3970963)Termination reason: Refutation not found, incomplete strategy
% 27.09/4.14 % (3970963)Time elapsed: 0.001 s
% 27.09/4.14 % (3970963)Peak memory usage: 11 MB
% 27.09/4.14 % (3970963)------------------------------
% 27.09/4.14 % (3970963)------------------------------
% 27.09/4.14 % (3970966)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=841284498:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2968 on theBenchmark for (2968ds/176Mi)
% 27.09/4.14 % (3970968)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 27.09/4.14 % (3970968)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3074404773:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2968 on theBenchmark for (2968ds/39Mi)
% 27.09/4.14 % (3970968)Instruction limit reached!
% 27.09/4.14 % (3970968)------------------------------
% 27.09/4.14 % (3970968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.09/4.14 % (3970968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.09/4.14 % (3970968)CaDiCaL version: 2.1.3
% 27.09/4.14 % (3970968)Termination reason: Instruction limit
% 27.09/4.14 % (3970968)Termination phase: Saturation
% 27.09/4.14 % (3970968)Time elapsed: 0.020 s
% 27.09/4.14 % (3970968)Peak memory usage: 12 MB
% 27.09/4.14 % (3970968)Instructions burned: 39 (million)
% 27.09/4.14 % (3970971)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3934217796:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2967 on theBenchmark for (2967ds/708Mi)
% 27.09/4.14 % (3970966)Instruction limit reached!
% 27.09/4.14 % (3970966)------------------------------
% 27.09/4.14 % (3970966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.09/4.14 % (3970966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.09/4.14 % (3970966)CaDiCaL version: 2.1.3
% 27.09/4.14 % (3970966)Termination reason: Instruction limit
% 27.09/4.14 % (3970966)Termination phase: Saturation
% 27.09/4.14 % (3970966)Time elapsed: 0.076 s
% 27.09/4.14 % (3970966)Peak memory usage: 12 MB
% 27.09/4.14 % (3970966)Instructions burned: 178 (million)
% 27.44/4.22 % (3970915)Instruction limit reached!
% 27.44/4.22 % (3970915)------------------------------
% 27.44/4.22 % (3970915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.44/4.22 % (3970915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.44/4.22 % (3970915)CaDiCaL version: 2.1.3
% 27.44/4.22 % (3970915)Termination reason: Instruction limit
% 27.44/4.22 % (3970915)Termination phase: Saturation
% 27.44/4.22 % (3970915)Time elapsed: 1.214 s
% 27.44/4.22 % (3970915)Peak memory usage: 17 MB
% 27.44/4.22 % (3970915)Instructions burned: 2241 (million)
% 27.44/4.22 % (3970973)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
% 27.44/4.22 % (3970973)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=4109248168:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/252Mi)
% 27.44/4.22 % (3970958)Instruction limit reached!
% 27.44/4.22 % (3970958)------------------------------
% 27.44/4.22 % (3970958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.44/4.22 % (3970958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.44/4.22 % (3970958)CaDiCaL version: 2.1.3
% 27.44/4.22 % (3970958)Termination reason: Instruction limit
% 27.44/4.22 % (3970958)Termination phase: Saturation
% 27.44/4.22 % (3970958)Time elapsed: 0.175 s
% 27.44/4.22 % (3970958)Peak memory usage: 12 MB
% 27.44/4.22 % (3970958)Instructions burned: 281 (million)
% 27.44/4.22 % (3970976)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 27.44/4.22 % (3970976)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=2141062872:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2967 on theBenchmark for (2967ds/16202Mi)
% 27.44/4.22 % (3970976)Refutation not found, incomplete strategy
% 27.44/4.22 % (3970976)------------------------------
% 27.44/4.22 % (3970976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.44/4.22 % (3970976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.44/4.22 % (3970976)CaDiCaL version: 2.1.3
% 27.44/4.22 % (3970976)Termination reason: Refutation not found, incomplete strategy
% 27.44/4.22 % (3970976)Time elapsed: 0.0000 s
% 27.44/4.22 % (3970976)Peak memory usage: 11 MB
% 27.44/4.22 % (3970976)Instructions burned: 1 (million)
% 27.44/4.22 % (3970976)------------------------------
% 27.44/4.22 % (3970976)------------------------------
% 27.44/4.22 % (3970978)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=4112534234:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/300Mi)
% 27.44/4.22 % (3970974)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=2128304091:i=823:fsr=off:rtra=on_2967 on theBenchmark for (2967ds/823Mi)
% 27.44/4.22 % (3970978)Instruction limit reached!
% 27.44/4.22 % (3970978)------------------------------
% 27.44/4.22 % (3970978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.44/4.22 % (3970978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.44/4.22 % (3970978)CaDiCaL version: 2.1.3
% 27.44/4.22 % (3970978)Termination reason: Instruction limit
% 27.44/4.22 % (3970978)Termination phase: Saturation
% 27.44/4.22 % (3970978)Time elapsed: 0.068 s
% 27.44/4.22 % (3970978)Peak memory usage: 12 MB
% 27.44/4.22 % (3970978)Instructions burned: 301 (million)
% 27.44/4.22 % (3970981)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 27.44/4.22 % (3970981)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 27.44/4.22 % (3970981)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=1958780121:i=177:add=on:bd=preordered:rtra=on:rawr=on_2966 on theBenchmark for (2966ds/177Mi)
% 27.44/4.22 % (3970973)Instruction limit reached!
% 27.44/4.22 % (3970973)------------------------------
% 27.44/4.22 % (3970973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.44/4.22 % (3970973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.44/4.22 % (3970973)CaDiCaL version: 2.1.3
% 28.04/4.39 % (3970973)Termination reason: Instruction limit
% 28.04/4.39 % (3970973)Termination phase: Saturation
% 28.04/4.39 % (3970973)Time elapsed: 0.170 s
% 28.04/4.39 % (3970973)Peak memory usage: 12 MB
% 28.04/4.39 % (3970973)Instructions burned: 253 (million)
% 28.04/4.39 % (3970981)Instruction limit reached!
% 28.04/4.39 % (3970981)------------------------------
% 28.04/4.39 % (3970981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.04/4.39 % (3970981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.04/4.39 % (3970981)CaDiCaL version: 2.1.3
% 28.04/4.39 % (3970981)Termination reason: Instruction limit
% 28.04/4.39 % (3970981)Termination phase: Saturation
% 28.04/4.39 % (3970981)Time elapsed: 0.079 s
% 28.04/4.39 % (3970981)Peak memory usage: 12 MB
% 28.04/4.39 % (3970981)Instructions burned: 178 (million)
% 28.04/4.39 % (3970983)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=2199470357:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2965 on theBenchmark for (2965ds/715Mi)
% 28.04/4.39 % (3970983)Refutation not found, incomplete strategy
% 28.04/4.39 % (3970983)------------------------------
% 28.04/4.39 % (3970983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.04/4.39 % (3970983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.04/4.39 % (3970983)CaDiCaL version: 2.1.3
% 28.04/4.39 % (3970983)Termination reason: Refutation not found, incomplete strategy
% 28.04/4.39 % (3970983)Time elapsed: 0.001 s
% 28.04/4.39 % (3970983)Peak memory usage: 11 MB
% 28.04/4.39 % (3970983)Instructions burned: 2 (million)
% 28.04/4.39 % (3970983)------------------------------
% 28.04/4.39 % (3970983)------------------------------
% 28.04/4.39 % (3970984)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 28.04/4.39 % (3970984)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 28.04/4.39 % (3970971)Instruction limit reached!
% 28.04/4.39 % (3970971)------------------------------
% 28.04/4.39 % (3970971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.04/4.39 % (3970971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.04/4.39 % (3970971)CaDiCaL version: 2.1.3
% 28.04/4.39 % (3970971)Termination reason: Instruction limit
% 28.04/4.39 % (3970971)Termination phase: Saturation
% 28.04/4.39 % (3970971)Time elapsed: 0.281 s
% 28.04/4.39 % (3970971)Peak memory usage: 14 MB
% 28.04/4.39 % (3970971)Instructions burned: 709 (million)
% 28.04/4.39 % (3970984)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=2058182553:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2965 on theBenchmark for (2965ds/230Mi)
% 28.04/4.39 % (3970986)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=802601476:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2965 on theBenchmark for (2965ds/606Mi)
% 28.04/4.39 % (3970984)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 28.04/4.39 % (3970987)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 28.04/4.39 % (3970987)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=1504882671:lrd=on:i=841:nm=0:rtra=on_2964 on theBenchmark for (2964ds/841Mi)
% 28.04/4.39 % (3970984)Instruction limit reached!
% 28.04/4.39 % (3970984)------------------------------
% 28.04/4.39 % (3970984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.04/4.39 % (3970984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.04/4.39 % (3970984)CaDiCaL version: 2.1.3
% 28.04/4.39 % (3970984)Termination reason: Instruction limit
% 28.04/4.39 % (3970984)Termination phase: Saturation
% 28.04/4.39 % (3970984)Time elapsed: 0.185 s
% 28.04/4.39 % (3970984)Peak memory usage: 12 MB
% 28.04/4.39 % (3970984)Instructions burned: 230 (million)
% 28.04/4.39 % (3970996)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=874144816:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2962 on theBenchmark for (2962ds/445Mi)
% 28.04/4.39 % (3970986)Instruction limit reached!
% 28.04/4.39 % (3970986)------------------------------
% 28.04/4.39 % (3970986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.04/4.39 % (3970986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.43/4.49 % (3970986)CaDiCaL version: 2.1.3
% 28.43/4.49 % (3970986)Termination reason: Instruction limit
% 28.43/4.49 % (3970986)Termination phase: Saturation
% 28.43/4.49 % (3970986)Time elapsed: 0.359 s
% 28.43/4.49 % (3970986)Peak memory usage: 12 MB
% 28.43/4.49 % (3970986)Instructions burned: 609 (million)
% 28.43/4.49 % (3970996)Instruction limit reached!
% 28.43/4.49 % (3970996)------------------------------
% 28.43/4.49 % (3970996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.43/4.49 % (3970996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.43/4.49 % (3970996)CaDiCaL version: 2.1.3
% 28.43/4.49 % (3970996)Termination reason: Instruction limit
% 28.43/4.49 % (3970996)Termination phase: Saturation
% 28.43/4.49 % (3970996)Time elapsed: 0.175 s
% 28.43/4.49 % (3970996)Peak memory usage: 14 MB
% 28.43/4.49 % (3970996)Instructions burned: 447 (million)
% 28.43/4.49 % (3970999)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
% 28.43/4.49 % (3970999)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 28.43/4.49 % (3970999)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3149382910:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2961 on theBenchmark for (2961ds/100Mi)
% 28.43/4.49 % (3970998)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2906204466:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2961 on theBenchmark for (2961ds/71Mi)
% 28.43/4.49 % (3970999)Instruction limit reached!
% 28.43/4.49 % (3970999)------------------------------
% 28.43/4.49 % (3970999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.43/4.49 % (3970999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.43/4.49 % (3970999)CaDiCaL version: 2.1.3
% 28.43/4.49 % (3970999)Termination reason: Instruction limit
% 28.43/4.49 % (3970999)Termination phase: Saturation
% 28.43/4.49 % (3970999)Time elapsed: 0.026 s
% 28.43/4.49 % (3970999)Peak memory usage: 12 MB
% 28.43/4.49 % (3970999)Instructions burned: 101 (million)
% 28.43/4.49 % (3970974)Instruction limit reached!
% 28.43/4.49 % (3970974)------------------------------
% 28.43/4.49 % (3970974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.43/4.49 % (3970974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.43/4.49 % (3970974)CaDiCaL version: 2.1.3
% 28.43/4.49 % (3970974)Termination reason: Instruction limit
% 28.43/4.49 % (3970974)Termination phase: Saturation
% 28.43/4.49 % (3970974)Time elapsed: 0.613 s
% 28.43/4.49 % (3970974)Peak memory usage: 13 MB
% 28.43/4.49 % (3970974)Instructions burned: 824 (million)
% 28.43/4.49 % (3971002)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 28.43/4.49 % (3971002)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=1329029295:i=1352:add=on:aac=none:rtra=on_2960 on theBenchmark for (2960ds/1352Mi)
% 28.43/4.49 % (3971002)Refutation not found, incomplete strategy
% 28.43/4.49 % (3971002)------------------------------
% 28.43/4.49 % (3971002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.43/4.49 % (3971002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.43/4.49 % (3971002)CaDiCaL version: 2.1.3
% 28.43/4.49 % (3971002)Termination reason: Refutation not found, incomplete strategy
% 28.43/4.49 % (3971002)Time elapsed: 0.001 s
% 28.43/4.49 % (3971002)Peak memory usage: 12 MB
% 28.43/4.49 % (3971002)Instructions burned: 3 (million)
% 28.43/4.49 % (3971002)------------------------------
% 28.43/4.49 % (3971002)------------------------------
% 28.43/4.49 % (3971005)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=3272243232:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2960 on theBenchmark for (2960ds/1924Mi)
% 28.43/4.49 % (3971003)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=1271280067:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2960 on theBenchmark for (2960ds/646Mi)
% 28.43/4.49 % (3971005)Refutation not found, incomplete strategy
% 29.95/4.62 % (3971005)------------------------------
% 29.95/4.62 % (3971005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.95/4.62 % (3971005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.95/4.62 % (3971005)CaDiCaL version: 2.1.3
% 29.95/4.62 % (3971005)Termination reason: Refutation not found, incomplete strategy
% 29.95/4.62 % (3971005)Time elapsed: 0.0000 s
% 29.95/4.62 % (3971005)Peak memory usage: 11 MB
% 29.95/4.62 % (3971005)------------------------------
% 29.95/4.62 % (3971005)------------------------------
% 29.95/4.62 % (3970998)Instruction limit reached!
% 29.95/4.62 % (3970998)------------------------------
% 29.95/4.62 % (3970998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.95/4.62 % (3970998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.95/4.62 % (3970998)CaDiCaL version: 2.1.3
% 29.95/4.62 % (3970998)Termination reason: Instruction limit
% 29.95/4.62 % (3970998)Termination phase: Saturation
% 29.95/4.62 % (3970998)Time elapsed: 0.062 s
% 29.95/4.62 % (3970998)Peak memory usage: 12 MB
% 29.95/4.62 % (3970998)Instructions burned: 72 (million)
% 29.95/4.62 % (3971008)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=670573131:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2960 on theBenchmark for (2960ds/984Mi)
% 29.95/4.62 % (3971008)Refutation not found, incomplete strategy
% 29.95/4.62 % (3971008)------------------------------
% 29.95/4.62 % (3971008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.95/4.62 % (3971008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.95/4.62 % (3971008)CaDiCaL version: 2.1.3
% 29.95/4.62 % (3971008)Termination reason: Refutation not found, incomplete strategy
% 29.95/4.62 % (3971008)Time elapsed: 0.0000 s
% 29.95/4.62 % (3971008)Peak memory usage: 11 MB
% 29.95/4.62 % (3971008)Instructions burned: 1 (million)
% 29.95/4.62 % (3971008)------------------------------
% 29.95/4.62 % (3971008)------------------------------
% 29.95/4.62 % (3971011)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=1549524020:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2960 on theBenchmark for (2960ds/872Mi)
% 29.95/4.62 % (3971011)Refutation not found, incomplete strategy
% 29.95/4.62 % (3971011)------------------------------
% 29.95/4.62 % (3971011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.95/4.62 % (3971011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.95/4.62 % (3971011)CaDiCaL version: 2.1.3
% 29.95/4.62 % (3971011)Termination reason: Refutation not found, incomplete strategy
% 29.95/4.62 % (3971011)Time elapsed: 0.0000 s
% 29.95/4.62 % (3971011)Peak memory usage: 11 MB
% 29.95/4.62 % (3971011)------------------------------
% 29.95/4.62 % (3971011)------------------------------
% 29.95/4.62 % (3971013)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 29.95/4.62 % (3971013)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=3380168080:i=999:add=on:rtra=on_2960 on theBenchmark for (2960ds/999Mi)
% 29.95/4.62 % (3971009)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=3808131383:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2960 on theBenchmark for (2960ds/592Mi)
% 29.95/4.62 % (3970987)Instruction limit reached!
% 29.95/4.62 % (3970987)------------------------------
% 29.95/4.62 % (3970987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.95/4.62 % (3970987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.95/4.62 % (3970987)CaDiCaL version: 2.1.3
% 29.95/4.62 % (3970987)Termination reason: Instruction limit
% 29.95/4.62 % (3970987)Termination phase: Saturation
% 29.95/4.62 % (3970987)Time elapsed: 0.567 s
% 29.95/4.62 % (3970987)Peak memory usage: 13 MB
% 29.95/4.62 % (3970987)Instructions burned: 841 (million)
% 29.95/4.62 % (3971016)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 29.95/4.62 % (3971016)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=2972621830:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2958 on theBenchmark for (2958ds/244Mi)
% 29.95/4.62 % (3971016)Refutation not found, incomplete strategy
% 29.95/4.62 % (3971016)------------------------------
% 30.28/4.77 % (3971016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.28/4.77 % (3971016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.28/4.77 % (3971016)CaDiCaL version: 2.1.3
% 30.28/4.77 % (3971016)Termination reason: Refutation not found, incomplete strategy
% 30.28/4.77 % (3971016)Time elapsed: 0.002 s
% 30.28/4.77 % (3971016)Peak memory usage: 12 MB
% 30.28/4.77 % (3971016)Instructions burned: 2 (million)
% 30.28/4.77 % (3971016)------------------------------
% 30.28/4.77 % (3971016)------------------------------
% 30.28/4.77 % (3971018)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=561147820:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2958 on theBenchmark for (2958ds/113Mi)
% 30.28/4.77 % (3971018)Refutation not found, incomplete strategy
% 30.28/4.77 % (3971018)------------------------------
% 30.28/4.77 % (3971018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.28/4.77 % (3971018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.28/4.77 % (3971018)CaDiCaL version: 2.1.3
% 30.28/4.77 % (3971018)Termination reason: Refutation not found, incomplete strategy
% 30.28/4.77 % (3971018)Time elapsed: 0.001 s
% 30.28/4.77 % (3971018)Peak memory usage: 11 MB
% 30.28/4.77 % (3971018)Instructions burned: 1 (million)
% 30.28/4.77 % (3971018)------------------------------
% 30.28/4.77 % (3971018)------------------------------
% 30.28/4.77 % (3971020)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1972479030:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2958 on theBenchmark for (2958ds/7795Mi)
% 30.28/4.77 % (3971020)Refutation not found, incomplete strategy
% 30.28/4.77 % (3971020)------------------------------
% 30.28/4.77 % (3971020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.28/4.77 % (3971020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.28/4.77 % (3971020)CaDiCaL version: 2.1.3
% 30.28/4.77 % (3971020)Termination reason: Refutation not found, incomplete strategy
% 30.28/4.77 % (3971020)Time elapsed: 0.001 s
% 30.28/4.77 % (3971020)Peak memory usage: 11 MB
% 30.28/4.77 % (3971020)------------------------------
% 30.28/4.77 % (3971020)------------------------------
% 30.28/4.77 % (3971022)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=870208245:st=2:i=5026:sd=1:rtra=on:ss=axioms_2958 on theBenchmark for (2958ds/5026Mi)
% 30.28/4.77 % (3971022)Refutation not found, incomplete strategy
% 30.28/4.77 % (3971022)------------------------------
% 30.28/4.77 % (3971022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.28/4.77 % (3971022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.28/4.77 % (3971022)CaDiCaL version: 2.1.3
% 30.28/4.77 % (3971022)Termination reason: Refutation not found, incomplete strategy
% 30.28/4.77 % (3971022)Time elapsed: 0.001 s
% 30.28/4.77 % (3971022)Peak memory usage: 11 MB
% 30.28/4.77 % (3971022)------------------------------
% 30.28/4.77 % (3971022)------------------------------
% 30.28/4.77 % (3971024)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 30.28/4.77 % (3971024)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=3302359335:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2958 on theBenchmark for (2958ds/763Mi)
% 30.28/4.77 % (3971024)Refutation not found, incomplete strategy
% 30.28/4.77 % (3971024)------------------------------
% 30.28/4.77 % (3971024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.28/4.77 % (3971024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.28/4.77 % (3971024)CaDiCaL version: 2.1.3
% 30.28/4.77 % (3971024)Termination reason: Refutation not found, incomplete strategy
% 30.28/4.77 % (3971024)Time elapsed: 0.001 s
% 30.28/4.77 % (3971024)Peak memory usage: 11 MB
% 30.28/4.77 % (3971024)Instructions burned: 1 (million)
% 30.28/4.77 % (3971024)------------------------------
% 30.28/4.77 % (3971024)------------------------------
% 30.28/4.77 % (3971013)Instruction limit reached!
% 30.28/4.77 % (3971013)------------------------------
% 30.28/4.77 % (3971013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.28/4.77 % (3971013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.28/4.77 % (3971013)CaDiCaL version: 2.1.3
% 30.28/4.77 % (3971013)Termination reason: Instruction limit
% 30.28/4.77 % (3971013)Termination phase: Saturation
% 30.28/4.77 % (3971013)Time elapsed: 0.224 s
% 34.46/5.26 % (3971013)Peak memory usage: 14 MB
% 34.46/5.26 % (3971013)Instructions burned: 1002 (million)
% 34.46/5.26 % (3971027)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 34.46/5.26 % (3971027)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=265930339:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2957 on theBenchmark for (2957ds/52Mi)
% 34.46/5.26 % (3971026)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1222798115:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2957 on theBenchmark for (2957ds/1144Mi)
% 34.46/5.26 % (3971026)Refutation not found, incomplete strategy
% 34.46/5.26 % (3971026)------------------------------
% 34.46/5.26 % (3971026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.46/5.26 % (3971026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.26 % (3971026)CaDiCaL version: 2.1.3
% 34.46/5.26 % (3971026)Termination reason: Refutation not found, incomplete strategy
% 34.46/5.26 % (3971026)Time elapsed: 0.0000 s
% 34.46/5.26 % (3971026)Peak memory usage: 11 MB
% 34.46/5.26 % (3971026)------------------------------
% 34.46/5.26 % (3971026)------------------------------
% 34.46/5.26 % (3971027)Instruction limit reached!
% 34.46/5.26 % (3971027)------------------------------
% 34.46/5.26 % (3971027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.46/5.26 % (3971027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.26 % (3971027)CaDiCaL version: 2.1.3
% 34.46/5.26 % (3971027)Termination reason: Instruction limit
% 34.46/5.26 % (3971027)Termination phase: Saturation
% 34.46/5.26 % (3971027)Time elapsed: 0.011 s
% 34.46/5.26 % (3971027)Peak memory usage: 12 MB
% 34.46/5.26 % (3971027)Instructions burned: 55 (million)
% 34.46/5.26 % (3971031)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=344154981:i=439:add=on:slsql=off:rtra=on:ntd=on_2957 on theBenchmark for (2957ds/439Mi)
% 34.46/5.26 % (3971030)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=3647558988:i=1724:fsr=off:rtra=on:fe=abstraction_2957 on theBenchmark for (2957ds/1724Mi)
% 34.46/5.26 % (3971003)Instruction limit reached!
% 34.46/5.26 % (3971003)------------------------------
% 34.46/5.26 % (3971003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.46/5.26 % (3971003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.26 % (3971003)CaDiCaL version: 2.1.3
% 34.46/5.26 % (3971003)Termination reason: Instruction limit
% 34.46/5.26 % (3971003)Termination phase: Saturation
% 34.46/5.26 % (3971003)Time elapsed: 0.368 s
% 34.46/5.26 % (3971003)Peak memory usage: 14 MB
% 34.46/5.26 % (3971003)Instructions burned: 646 (million)
% 34.46/5.26 % (3971031)Instruction limit reached!
% 34.46/5.26 % (3971031)------------------------------
% 34.46/5.26 % (3971031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.46/5.26 % (3971031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.26 % (3971031)CaDiCaL version: 2.1.3
% 34.46/5.26 % (3971031)Termination reason: Instruction limit
% 34.46/5.26 % (3971031)Termination phase: Saturation
% 34.46/5.26 % (3971031)Time elapsed: 0.080 s
% 34.46/5.26 % (3971031)Peak memory usage: 12 MB
% 34.46/5.26 % (3971031)Instructions burned: 440 (million)
% 34.46/5.26 % (3971035)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 34.46/5.26 % (3971035)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=1154306344:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2956 on theBenchmark for (2956ds/6762Mi)
% 34.46/5.26 % (3971035)Refutation not found, incomplete strategy
% 34.46/5.26 % (3971035)------------------------------
% 34.46/5.26 % (3971035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.46/5.26 % (3971035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.26 % (3971035)CaDiCaL version: 2.1.3
% 34.46/5.26 % (3971035)Termination reason: Refutation not found, incomplete strategy
% 34.46/5.26 % (3971035)Time elapsed: 0.0000 s
% 34.46/5.26 % (3971035)Peak memory usage: 11 MB
% 34.46/5.26 % (3971035)------------------------------
% 34.46/5.26 % (3971035)------------------------------
% 34.46/5.26 % (3971037)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 37.26/5.76 % (3971037)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=381642338:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2956 on theBenchmark for (2956ds/376Mi)
% 37.26/5.76 % (3971034)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3601348772:i=6395:sd=1:rtra=on:ss=axioms_2956 on theBenchmark for (2956ds/6395Mi)
% 37.26/5.76 % (3971034)Refutation not found, incomplete strategy
% 37.26/5.76 % (3971034)------------------------------
% 37.26/5.76 % (3971034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.26/5.76 % (3971034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.26/5.76 % (3971034)CaDiCaL version: 2.1.3
% 37.26/5.76 % (3971034)Termination reason: Refutation not found, incomplete strategy
% 37.26/5.76 % (3971034)Time elapsed: 0.001 s
% 37.26/5.76 % (3971034)Peak memory usage: 11 MB
% 37.26/5.76 % (3971034)------------------------------
% 37.26/5.76 % (3971034)------------------------------
% 37.26/5.76 % (3971040)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=4189368461:i=965:bd=all:ins=4:rtra=on_2956 on theBenchmark for (2956ds/965Mi)
% 37.26/5.76 % (3971009)Instruction limit reached!
% 37.26/5.76 % (3971009)------------------------------
% 37.26/5.76 % (3971009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.26/5.76 % (3971009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.26/5.76 % (3971009)CaDiCaL version: 2.1.3
% 37.26/5.76 % (3971009)Termination reason: Instruction limit
% 37.26/5.76 % (3971009)Termination phase: Saturation
% 37.26/5.76 % (3971009)Time elapsed: 0.435 s
% 37.26/5.76 % (3971009)Peak memory usage: 13 MB
% 37.26/5.76 % (3971009)Instructions burned: 592 (million)
% 37.26/5.76 % (3971037)Instruction limit reached!
% 37.26/5.76 % (3971037)------------------------------
% 37.26/5.76 % (3971037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.26/5.76 % (3971037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.26/5.76 % (3971037)CaDiCaL version: 2.1.3
% 37.26/5.76 % (3971037)Termination reason: Instruction limit
% 37.26/5.76 % (3971037)Termination phase: Saturation
% 37.26/5.76 % (3971037)Time elapsed: 0.105 s
% 37.26/5.76 % (3971037)Peak memory usage: 14 MB
% 37.26/5.76 % (3971037)Instructions burned: 378 (million)
% 37.26/5.76 % (3971042)lrs+10_1_sil=128000:si=on:urr=on:random_seed=161313568:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2955 on theBenchmark for (2955ds/5013Mi)
% 37.26/5.76 % (3971042)Refutation not found, incomplete strategy
% 37.26/5.76 % (3971042)------------------------------
% 37.26/5.76 % (3971042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.26/5.76 % (3971042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.26/5.76 % (3971042)CaDiCaL version: 2.1.3
% 37.26/5.76 % (3971042)Termination reason: Refutation not found, incomplete strategy
% 37.26/5.76 % (3971042)Time elapsed: 0.001 s
% 37.26/5.76 % (3971042)Peak memory usage: 11 MB
% 37.26/5.76 % (3971042)------------------------------
% 37.26/5.76 % (3971042)------------------------------
% 37.26/5.76 % (3971043)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=1559829715:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2955 on theBenchmark for (2955ds/1583Mi)
% 37.26/5.76 % (3971045)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 37.26/5.76 % (3971045)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 37.26/5.76 % (3971045)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) 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
% 37.26/5.76 % (3971045)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 37.26/5.76 % (3971045)ott+1002_1_slsqr=1,32:sil=128000:fde=none:e2e=on:hsqc=2:si=on:sp=const_min:sos=on:uwa=interpreted_only:s2agt=16:chr=on:random_seed=1449825714:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_2955 on theBenchmark for (2955ds/1774Mi)
% 37.26/5.76 % (3971045)Refutation not found, incomplete strategy
% 40.49/6.05 % (3971045)------------------------------
% 40.49/6.05 % (3971045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.49/6.05 % (3971045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.49/6.05 % (3971045)CaDiCaL version: 2.1.3
% 40.49/6.05 % (3971045)Termination reason: Refutation not found, incomplete strategy
% 40.49/6.05 % (3971045)Time elapsed: 0.002 s
% 40.49/6.05 % (3971045)Peak memory usage: 11 MB
% 40.49/6.05 % (3971045)------------------------------
% 40.49/6.05 % (3971045)------------------------------
% 40.49/6.05 % (3971048)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1137869549:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2954 on theBenchmark for (2954ds/515Mi)
% 40.49/6.05 % (3971048)Refutation not found, incomplete strategy
% 40.49/6.05 % (3971048)------------------------------
% 40.49/6.05 % (3971048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.49/6.05 % (3971048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.49/6.05 % (3971048)CaDiCaL version: 2.1.3
% 40.49/6.05 % (3971048)Termination reason: Refutation not found, incomplete strategy
% 40.49/6.05 % (3971048)Time elapsed: 0.0000 s
% 40.49/6.05 % (3971048)Peak memory usage: 11 MB
% 40.49/6.05 % (3971048)------------------------------
% 40.49/6.05 % (3971048)------------------------------
% 40.49/6.05 % (3971050)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) 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
% 40.49/6.05 % (3971050)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=2378599758:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2954 on theBenchmark for (2954ds/1297Mi)
% 40.49/6.05 % (3971050)Instruction limit reached!
% 40.49/6.05 % (3971050)------------------------------
% 40.49/6.05 % (3971050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.49/6.05 % (3971050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.49/6.05 % (3971050)CaDiCaL version: 2.1.3
% 40.49/6.05 % (3971050)Termination reason: Instruction limit
% 40.49/6.05 % (3971050)Termination phase: Saturation
% 40.49/6.05 % (3971050)Time elapsed: 0.271 s
% 40.49/6.05 % (3971050)Peak memory usage: 12 MB
% 40.49/6.05 % (3971050)Instructions burned: 1299 (million)
% 40.49/6.05 % (3971052)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=3893134716:s2a=on:i=611:rtra=on:gsp=on_2951 on theBenchmark for (2951ds/611Mi)
% 40.49/6.05 % (3971052)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 40.49/6.05 % (3971040)Instruction limit reached!
% 40.49/6.05 % (3971040)------------------------------
% 40.49/6.05 % (3971040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.49/6.05 % (3971040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.49/6.05 % (3971040)CaDiCaL version: 2.1.3
% 40.49/6.05 % (3971040)Termination reason: Instruction limit
% 40.49/6.05 % (3971040)Termination phase: Saturation
% 40.49/6.05 % (3971040)Time elapsed: 0.573 s
% 40.49/6.05 % (3971040)Peak memory usage: 15 MB
% 40.49/6.05 % (3971040)Instructions burned: 966 (million)
% 40.49/6.05 % (3971052)Instruction limit reached!
% 40.49/6.05 % (3971052)------------------------------
% 40.49/6.05 % (3971052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.49/6.05 % (3971052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.49/6.05 % (3971052)CaDiCaL version: 2.1.3
% 40.49/6.05 % (3971052)Termination reason: Instruction limit
% 40.49/6.05 % (3971052)Termination phase: Saturation
% 40.49/6.05 % (3971052)Time elapsed: 0.159 s
% 40.49/6.05 % (3971052)Peak memory usage: 13 MB
% 40.49/6.05 % (3971052)Instructions burned: 616 (million)
% 40.49/6.05 % (3971054)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 40.49/6.05 % (3971054)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=438433377:i=72:bd=all:rtra=on_2950 on theBenchmark for (2950ds/72Mi)
% 40.49/6.05 % (3971054)Refutation not found, incomplete strategy
% 40.49/6.05 % (3971054)------------------------------
% 40.49/6.05 % (3971054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.49/6.05 % (3971054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.00/6.58 % (3971054)CaDiCaL version: 2.1.3
% 43.00/6.58 % (3971054)Termination reason: Refutation not found, incomplete strategy
% 43.00/6.58 % (3971054)Time elapsed: 0.001 s
% 43.00/6.58 % (3971054)Peak memory usage: 11 MB
% 43.00/6.58 % (3971054)Instructions burned: 1 (million)
% 43.00/6.58 % (3971054)------------------------------
% 43.00/6.58 % (3971054)------------------------------
% 43.00/6.58 % (3971055)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=4162352627:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2950 on theBenchmark for (2950ds/6580Mi)
% 43.00/6.58 % (3971058)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=2678063062:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2950 on theBenchmark for (2950ds/6209Mi)
% 43.00/6.58 % (3971058)Refutation not found, incomplete strategy
% 43.00/6.58 % (3971058)------------------------------
% 43.00/6.58 % (3971058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.00/6.58 % (3971058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.00/6.58 % (3971058)CaDiCaL version: 2.1.3
% 43.00/6.58 % (3971058)Termination reason: Refutation not found, incomplete strategy
% 43.00/6.58 % (3971058)Time elapsed: 0.001 s
% 43.00/6.58 % (3971058)Peak memory usage: 11 MB
% 43.00/6.58 % (3971058)------------------------------
% 43.00/6.58 % (3971058)------------------------------
% 43.00/6.58 % (3971060)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=2985718344:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2949 on theBenchmark for (2949ds/1003Mi)
% 43.00/6.58 % (3970763)Instruction limit reached!
% 43.00/6.58 % (3970763)------------------------------
% 43.00/6.58 % (3970763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.00/6.58 % (3970763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.00/6.58 % (3970763)CaDiCaL version: 2.1.3
% 43.00/6.58 % (3970763)Termination reason: Instruction limit
% 43.00/6.58 % (3970763)Termination phase: Saturation
% 43.00/6.58 % (3970763)Time elapsed: 4.801 s
% 43.00/6.58 % (3970763)Peak memory usage: 17 MB
% 43.00/6.58 % (3970763)Instructions burned: 9844 (million)
% 43.00/6.58 % (3971030)Instruction limit reached!
% 43.00/6.58 % (3971030)------------------------------
% 43.00/6.58 % (3971030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.00/6.58 % (3971030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.00/6.58 % (3971030)CaDiCaL version: 2.1.3
% 43.00/6.58 % (3971030)Termination reason: Instruction limit
% 43.00/6.58 % (3971030)Termination phase: Saturation
% 43.00/6.58 % (3971030)Time elapsed: 1.179 s
% 43.00/6.58 % (3971030)Peak memory usage: 12 MB
% 43.00/6.58 % (3971030)Instructions burned: 1725 (million)
% 43.00/6.58 % (3971062)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 43.00/6.58 % (3971062)ott+1002_16_sil=128000:si=on:random_seed=676364235:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2945 on theBenchmark for (2945ds/409Mi)
% 43.00/6.58 % (3971063)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=3124085352:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2945 on theBenchmark for (2945ds/403Mi)
% 43.00/6.58 % (3971063)Refutation not found, incomplete strategy
% 43.00/6.58 % (3971063)------------------------------
% 43.00/6.58 % (3971063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.00/6.58 % (3971063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.00/6.58 % (3971063)CaDiCaL version: 2.1.3
% 43.00/6.58 % (3971063)Termination reason: Refutation not found, incomplete strategy
% 43.00/6.58 % (3971063)Time elapsed: 0.002 s
% 43.00/6.58 % (3971063)Peak memory usage: 11 MB
% 43.00/6.58 % (3971063)Instructions burned: 1 (million)
% 43.00/6.58 % (3971063)------------------------------
% 43.00/6.58 % (3971063)------------------------------
% 43.00/6.58 % (3971066)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=4075729443:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2945 on theBenchmark for (2945ds/6843Mi)
% 43.00/6.58 % (3971066)Refutation not found, incomplete strategy
% 43.00/6.58 % (3971066)------------------------------
% 43.00/6.58 % (3971066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.01/6.91 % (3971066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.01/6.91 % (3971066)CaDiCaL version: 2.1.3
% 45.01/6.91 % (3971066)Termination reason: Refutation not found, incomplete strategy
% 45.01/6.91 % (3971066)Time elapsed: 0.001 s
% 45.01/6.91 % (3971066)Peak memory usage: 11 MB
% 45.01/6.91 % (3971066)Instructions burned: 1 (million)
% 45.01/6.91 % (3971066)------------------------------
% 45.01/6.91 % (3971066)------------------------------
% 45.01/6.91 % (3971068)lrs+10_2:1_si=on:random_seed=3775313346:s2a=on:i=506:rtra=on:fe=abstraction_2945 on theBenchmark for (2945ds/506Mi)
% 45.01/6.91 % (3971043)Instruction limit reached!
% 45.01/6.91 % (3971043)------------------------------
% 45.01/6.91 % (3971043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.01/6.91 % (3971043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.01/6.91 % (3971043)CaDiCaL version: 2.1.3
% 45.01/6.91 % (3971043)Termination reason: Instruction limit
% 45.01/6.91 % (3971043)Termination phase: Saturation
% 45.01/6.91 % (3971043)Time elapsed: 1.117 s
% 45.01/6.91 % (3971043)Peak memory usage: 13 MB
% 45.01/6.91 % (3971043)Instructions burned: 1584 (million)
% 45.01/6.91 % (3971070)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=1015365929:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2944 on theBenchmark for (2944ds/888Mi)
% 45.01/6.91 % (3971062)Instruction limit reached!
% 45.01/6.91 % (3971062)------------------------------
% 45.01/6.91 % (3971062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.01/6.91 % (3971062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.01/6.91 % (3971062)CaDiCaL version: 2.1.3
% 45.01/6.91 % (3971062)Termination reason: Instruction limit
% 45.01/6.91 % (3971062)Termination phase: Saturation
% 45.01/6.91 % (3971062)Time elapsed: 0.260 s
% 45.01/6.91 % (3971062)Peak memory usage: 13 MB
% 45.01/6.91 % (3971062)Instructions burned: 410 (million)
% 45.01/6.91 % (3971068)Instruction limit reached!
% 45.01/6.91 % (3971068)------------------------------
% 45.01/6.91 % (3971068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.01/6.91 % (3971068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.01/6.91 % (3971068)CaDiCaL version: 2.1.3
% 45.01/6.91 % (3971068)Termination reason: Instruction limit
% 45.01/6.91 % (3971068)Termination phase: Saturation
% 45.01/6.91 % (3971068)Time elapsed: 0.224 s
% 45.01/6.91 % (3971068)Peak memory usage: 12 MB
% 45.01/6.91 % (3971068)Instructions burned: 506 (million)
% 45.01/6.91 % (3971072)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 45.01/6.91 % (3971073)dis+10_3:2_sfv=off:to=kbo:plsq=on:fde=unused:e2e=on:si=on:sp=reverse_frequency:acc=on:uwa=off:fd=preordered:slsqc=1:pe=on:slsq=on:random_seed=1715776862:hsq=on:hsqr=16,1:avsq=on:s2a=on:i=13534:hsql=off:nm=16:nicw=on:ins=20:rtra=on:ss=axioms:ntd=on_2942 on theBenchmark for (2942ds/13534Mi)
% 45.01/6.91 % (3971073)Refutation not found, incomplete strategy
% 45.01/6.91 % (3971073)------------------------------
% 45.01/6.91 % (3971073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.01/6.91 % (3971073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.01/6.91 % (3971073)CaDiCaL version: 2.1.3
% 45.01/6.91 % (3971072)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=4109969009:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2942 on theBenchmark for (2942ds/416Mi)
% 45.01/6.91 % (3971073)Termination reason: Refutation not found, incomplete strategy
% 45.01/6.91 % (3971073)Time elapsed: 0.001 s
% 45.01/6.91 % (3971073)Peak memory usage: 11 MB
% 45.01/6.91 % (3971073)------------------------------
% 45.01/6.91 % (3971073)------------------------------
% 45.01/6.91 % (3971076)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 45.01/6.91 % (3971060)Instruction limit reached!
% 45.01/6.91 % (3971060)------------------------------
% 45.01/6.91 % (3971060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.01/6.91 % (3971060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.01/6.91 % (3971060)CaDiCaL version: 2.1.3
% 45.01/6.91 % (3971060)Termination reason: Instruction limit
% 48.61/7.20 % (3971060)Termination phase: Saturation
% 48.61/7.20 % (3971060)Time elapsed: 0.726 s
% 48.61/7.20 % (3971060)Peak memory usage: 13 MB
% 48.61/7.20 % (3971060)Instructions burned: 1004 (million)
% 48.61/7.20 % (3971076)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=4108242021:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2942 on theBenchmark for (2942ds/206Mi)
% 48.61/7.20 % (3971077)dis+1010_1_sfv=off:slsqr=2,1:to=kbo:plsq=on:cnfonf=lazy_simp:si=on:cbe=off:uwa=hol:nwc=2:s2agt=16:slsq=on:random_seed=256236430:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2942 on theBenchmark for (2942ds/2295Mi)
% 48.61/7.20 % (3971076)Instruction limit reached!
% 48.61/7.20 % (3971076)------------------------------
% 48.61/7.20 % (3971076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.61/7.20 % (3971076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.61/7.20 % (3971076)CaDiCaL version: 2.1.3
% 48.61/7.20 % (3971076)Termination reason: Instruction limit
% 48.61/7.20 % (3971076)Termination phase: Saturation
% 48.61/7.20 % (3971076)Time elapsed: 0.080 s
% 48.61/7.20 % (3971076)Peak memory usage: 12 MB
% 48.61/7.20 % (3971076)Instructions burned: 207 (million)
% 48.61/7.20 % (3971080)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=2303556765:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2941 on theBenchmark for (2941ds/637Mi)
% 48.61/7.20 % (3970960)Instruction limit reached!
% 48.61/7.20 % (3970960)------------------------------
% 48.61/7.20 % (3970960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.61/7.20 % (3970960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.61/7.20 % (3970960)CaDiCaL version: 2.1.3
% 48.61/7.20 % (3970960)Termination reason: Instruction limit
% 48.61/7.20 % (3970960)Termination phase: Saturation
% 48.61/7.20 % (3970960)Time elapsed: 2.897 s
% 48.61/7.20 % (3970960)Peak memory usage: 17 MB
% 48.61/7.20 % (3970960)Instructions burned: 4386 (million)
% 48.61/7.20 % (3971082)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=4268792123:hsq=on:i=667:rtra=on:ixr=off_2939 on theBenchmark for (2939ds/667Mi)
% 48.61/7.20 % (3971072)Instruction limit reached!
% 48.61/7.20 % (3971072)------------------------------
% 48.61/7.20 % (3971072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.61/7.20 % (3971072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.61/7.20 % (3971072)CaDiCaL version: 2.1.3
% 48.61/7.20 % (3971072)Termination reason: Instruction limit
% 48.61/7.20 % (3971072)Termination phase: Saturation
% 48.61/7.20 % (3971072)Time elapsed: 0.350 s
% 48.61/7.20 % (3971072)Peak memory usage: 13 MB
% 48.61/7.20 % (3971072)Instructions burned: 416 (million)
% 48.61/7.20 % (3971084)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=591968729:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2938 on theBenchmark for (2938ds/1801Mi)
% 48.61/7.20 % (3971080)Instruction limit reached!
% 48.61/7.20 % (3971080)------------------------------
% 48.61/7.20 % (3971080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.61/7.20 % (3971080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.61/7.20 % (3971080)CaDiCaL version: 2.1.3
% 48.61/7.20 % (3971080)Termination reason: Instruction limit
% 48.61/7.20 % (3971080)Termination phase: Saturation
% 48.61/7.20 % (3971080)Time elapsed: 0.311 s
% 48.61/7.20 % (3971080)Peak memory usage: 12 MB
% 48.61/7.20 % (3971080)Instructions burned: 637 (million)
% 48.61/7.20 % (3971086)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=2547097965:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2937 on theBenchmark for (2937ds/555Mi)
% 48.61/7.20 % (3971070)Instruction limit reached!
% 48.61/7.20 % (3971070)------------------------------
% 48.61/7.20 % (3971070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.61/7.20 % (3971070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.61/7.20 % (3971070)CaDiCaL version: 2.1.3
% 48.61/7.20 % (3971070)Termination reason: Instruction limit
% 48.61/7.20 % (3971070)Termination phase: Saturation
% 48.61/7.20 % (3971070)Time elapsed: 0.648 s
% 48.61/7.20 % (3971070)Peak memory usage: 12 MB
% 48.61/7.20 % (3971070)Instructions burned: 888 (million)
% 48.61/7.20 % (3971088)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=3663191619:i=88:s2at=3:nm=2:rtra=on:rawr=on_2937 on theBenchmark for (2937ds/88Mi)
% 54.63/8.11 % (3971088)Instruction limit reached!
% 54.63/8.11 % (3971088)------------------------------
% 54.63/8.11 % (3971088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.63/8.11 % (3971088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.63/8.11 % (3971088)CaDiCaL version: 2.1.3
% 54.63/8.11 % (3971088)Termination reason: Instruction limit
% 54.63/8.11 % (3971088)Termination phase: Saturation
% 54.63/8.11 % (3971088)Time elapsed: 0.072 s
% 54.63/8.11 % (3971088)Peak memory usage: 12 MB
% 54.63/8.11 % (3971088)Instructions burned: 88 (million)
% 54.63/8.11 % (3971090)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=599563696:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2936 on theBenchmark for (2936ds/280Mi)
% 54.63/8.11 % (3971086)Instruction limit reached!
% 54.63/8.11 % (3971086)------------------------------
% 54.63/8.11 % (3971086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.63/8.11 % (3971086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.63/8.11 % (3971086)CaDiCaL version: 2.1.3
% 54.63/8.11 % (3971086)Termination reason: Instruction limit
% 54.63/8.11 % (3971086)Termination phase: Saturation
% 54.63/8.11 % (3971086)Time elapsed: 0.254 s
% 54.63/8.11 % (3971086)Peak memory usage: 11 MB
% 54.63/8.11 % (3971086)Instructions burned: 556 (million)
% 54.63/8.11 % (3971092)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=1158477926:s2a=on:i=3166:bd=preordered:rtra=on_2935 on theBenchmark for (2935ds/3166Mi)
% 54.63/8.11 % (3971082)Instruction limit reached!
% 54.63/8.11 % (3971082)------------------------------
% 54.63/8.11 % (3971082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.63/8.11 % (3971082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.63/8.11 % (3971082)CaDiCaL version: 2.1.3
% 54.63/8.11 % (3971082)Termination reason: Instruction limit
% 54.63/8.11 % (3971082)Termination phase: Saturation
% 54.63/8.11 % (3971082)Time elapsed: 0.454 s
% 54.63/8.11 % (3971082)Peak memory usage: 12 MB
% 54.63/8.11 % (3971082)Instructions burned: 669 (million)
% 54.63/8.11 % (3971094)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 54.63/8.11 % (3971094)lrs+1010_128_to=kbo:plsq=on:plsqc=4:cnfonf=lazy_pi_sigma_gen:bsd=on:si=on:sp=occurrence:sos=on:plsql=on:random_seed=1752130473:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2934 on theBenchmark for (2934ds/4201Mi)
% 54.63/8.11 % (3971094)Refutation not found, incomplete strategy
% 54.63/8.11 % (3971094)------------------------------
% 54.63/8.11 % (3971094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.63/8.11 % (3971094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.63/8.11 % (3971094)CaDiCaL version: 2.1.3
% 54.63/8.11 % (3971094)Termination reason: Refutation not found, incomplete strategy
% 54.63/8.11 % (3971094)Time elapsed: 0.004 s
% 54.63/8.11 % (3971094)Peak memory usage: 11 MB
% 54.63/8.11 % (3971094)Instructions burned: 3 (million)
% 54.63/8.11 % (3971094)------------------------------
% 54.63/8.11 % (3971094)------------------------------
% 54.63/8.11 % (3971096)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1293160216:i=2352:rtra=on:ixr=off_2934 on theBenchmark for (2934ds/2352Mi)
% 54.63/8.11 % (3971090)Instruction limit reached!
% 54.63/8.11 % (3971090)------------------------------
% 54.63/8.11 % (3971090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.63/8.11 % (3971090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.63/8.11 % (3971090)CaDiCaL version: 2.1.3
% 54.63/8.11 % (3971090)Termination reason: Instruction limit
% 54.63/8.11 % (3971090)Termination phase: Saturation
% 54.63/8.11 % (3971090)Time elapsed: 0.205 s
% 54.63/8.11 % (3971090)Peak memory usage: 12 MB
% 54.63/8.11 % (3971090)Instructions burned: 280 (million)
% 54.63/8.11 % (3971098)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 54.63/8.11 % (3971098)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=3141751611:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2933 on theBenchmark for (2933ds/452Mi)
% 56.50/8.43 % (3971098)Refutation not found, incomplete strategy
% 56.50/8.43 % (3971098)------------------------------
% 56.50/8.43 % (3971098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.50/8.43 % (3971098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.50/8.43 % (3971098)CaDiCaL version: 2.1.3
% 56.50/8.43 % (3971098)Termination reason: Refutation not found, incomplete strategy
% 56.50/8.43 % (3971098)Time elapsed: 0.002 s
% 56.50/8.43 % (3971098)Peak memory usage: 11 MB
% 56.50/8.43 % (3971098)Instructions burned: 1 (million)
% 56.50/8.43 % (3971098)------------------------------
% 56.50/8.43 % (3971098)------------------------------
% 56.50/8.43 % (3971100)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 56.50/8.43 % (3971100)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 56.50/8.43 % (3971100)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=2407766393:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2933 on theBenchmark for (2933ds/483Mi)
% 56.50/8.43 % (3971100)Refutation not found, incomplete strategy
% 56.50/8.43 % (3971100)------------------------------
% 56.50/8.43 % (3971100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.50/8.43 % (3971100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.50/8.43 % (3971100)CaDiCaL version: 2.1.3
% 56.50/8.43 % (3971100)Termination reason: Refutation not found, incomplete strategy
% 56.50/8.43 % (3971100)Time elapsed: 0.001 s
% 56.50/8.43 % (3971100)Peak memory usage: 12 MB
% 56.50/8.43 % (3971100)------------------------------
% 56.50/8.43 % (3971100)------------------------------
% 56.50/8.43 % (3971077)Instruction limit reached!
% 56.50/8.43 % (3971077)------------------------------
% 56.50/8.43 % (3971077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.50/8.43 % (3971077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.50/8.43 % (3971077)CaDiCaL version: 2.1.3
% 56.50/8.43 % (3971077)Termination reason: Instruction limit
% 56.50/8.43 % (3971077)Termination phase: Saturation
% 56.50/8.43 % (3971077)Time elapsed: 0.895 s
% 56.50/8.43 % (3971077)Peak memory usage: 13 MB
% 56.50/8.43 % (3971077)Instructions burned: 2296 (million)
% 56.50/8.43 % (3971103)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=536961888:hsq=on:hsqr=16,1:s2a=on:i=17240:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2932 on theBenchmark for (2932ds/17240Mi)
% 56.50/8.43 % (3971102)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=451830693:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2933 on theBenchmark for (2933ds/168Mi)
% 56.50/8.43 % (3971102)Instruction limit reached!
% 56.50/8.43 % (3971102)------------------------------
% 56.50/8.43 % (3971102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.50/8.43 % (3971102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.50/8.43 % (3971102)CaDiCaL version: 2.1.3
% 56.50/8.43 % (3971102)Termination reason: Instruction limit
% 56.50/8.43 % (3971102)Termination phase: Saturation
% 56.50/8.43 % (3971102)Time elapsed: 0.139 s
% 56.50/8.43 % (3971102)Peak memory usage: 13 MB
% 56.50/8.43 % (3971102)Instructions burned: 169 (million)
% 56.50/8.43 % (3971106)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=2783142620:i=2022:fsr=off:rtra=on:ixr=off_2931 on theBenchmark for (2931ds/2022Mi)
% 56.50/8.43 % (3970927)Instruction limit reached!
% 56.50/8.43 % (3970927)------------------------------
% 56.50/8.43 % (3970927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.50/8.43 % (3970927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.50/8.43 % (3970927)CaDiCaL version: 2.1.3
% 56.50/8.43 % (3970927)Termination reason: Instruction limit
% 56.50/8.43 % (3970927)Termination phase: Saturation
% 56.50/8.43 % (3970927)Time elapsed: 4.630 s
% 56.50/8.43 % (3970927)Peak memory usage: 21 MB
% 56.50/8.43 % (3970927)Instructions burned: 6360 (million)
% 56.50/8.43 % (3971108)lrs+1010_3:1_sil=128000:tgt=full:plsq=on:drc=ordering:cnfonf=lazy_not_be_gen:si=on:etr=on:sp=reverse_arity:plsqr=32,1:urr=on:uwa=off:foolp=on:nwc=0.5:random_seed=2848596332:i=2274:kws=precedence:bd=preordered:av=off:rtra=on_2930 on theBenchmark for (2930ds/2274Mi)
% 56.50/8.49 % (3971055)Instruction limit reached!
% 56.50/8.49 % (3971055)------------------------------
% 56.50/8.49 % (3971055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.50/8.49 % (3971055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.50/8.49 % (3971055)CaDiCaL version: 2.1.3
% 56.50/8.49 % (3971055)Termination reason: Instruction limit
% 56.50/8.49 % (3971055)Termination phase: Saturation
% 56.50/8.49 % (3971055)Time elapsed: 2.537 s
% 56.50/8.49 % (3971055)Peak memory usage: 29 MB
% 56.50/8.49 % (3971055)Instructions burned: 6584 (million)
% 56.50/8.49 % (3971110)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=678795371:i=555:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2924 on theBenchmark for (2924ds/555Mi)
% 56.50/8.49 % (3971084)Instruction limit reached!
% 56.50/8.49 % (3971084)------------------------------
% 56.50/8.49 % (3971084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.50/8.49 % (3971084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.50/8.49 % (3971084)CaDiCaL version: 2.1.3
% 56.50/8.49 % (3971084)Termination reason: Instruction limit
% 56.50/8.49 % (3971084)Termination phase: Saturation
% 56.50/8.49 % (3971084)Time elapsed: 1.484 s
% 56.50/8.49 % (3971084)Peak memory usage: 18 MB
% 56.50/8.49 % (3971084)Instructions burned: 1801 (million)
% 56.50/8.49 % (3971112)dis+1002_4_sil=128000:si=on:lma=off:uwa=off:fd=off:sac=on:random_seed=2487830906:avsq=on:i=2220:rtra=on_2923 on theBenchmark for (2923ds/2220Mi)
% 56.50/8.49 % (3971110)Instruction limit reached!
% 56.50/8.49 % (3971110)------------------------------
% 56.50/8.49 % (3971110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.50/8.49 % (3971110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.50/8.49 % (3971110)CaDiCaL version: 2.1.3
% 56.50/8.49 % (3971110)Termination reason: Instruction limit
% 56.50/8.49 % (3971110)Termination phase: Saturation
% 56.50/8.49 % (3971110)Time elapsed: 0.228 s
% 56.50/8.49 % (3971110)Peak memory usage: 13 MB
% 56.50/8.49 % (3971110)Instructions burned: 555 (million)
% 56.50/8.49 % (3971114)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=3924911903:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2922 on theBenchmark for (2922ds/715Mi)
% 56.50/8.49 % (3971114)Refutation not found, incomplete strategy
% 56.50/8.49 % (3971114)------------------------------
% 56.50/8.49 % (3971114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.50/8.49 % (3971114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.50/8.49 % (3971114)CaDiCaL version: 2.1.3
% 56.50/8.49 % (3971114)Termination reason: Refutation not found, incomplete strategy
% 56.50/8.49 % (3971114)Time elapsed: 0.001 s
% 56.50/8.49 % (3971114)Peak memory usage: 11 MB
% 56.50/8.49 % (3971114)Instructions burned: 2 (million)
% 56.50/8.49 % (3971114)------------------------------
% 56.50/8.49 % (3971114)------------------------------
% 56.50/8.49 % (3971116)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) 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
% 56.50/8.49 % (3971116)lrs+1010_4:7_anc=none:tgt=ground:cnfonf=lazy_gen:sas=cadical:si=on:uwa=interpreted_only:s2agt=60:sac=on:random_seed=1768339610:i=1979:nm=2:rtra=on:amm=off:ss=axioms:ntd=on_2921 on theBenchmark for (2921ds/1979Mi)
% 56.50/8.49 % (3971116)Refutation not found, incomplete strategy
% 56.50/8.49 % (3971116)------------------------------
% 56.50/8.49 % (3971116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 56.50/8.49 % (3971116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.50/8.49 % (3971116)CaDiCaL version: 2.1.3
% 56.50/8.49 % (3971116)Termination reason: Refutation not found, incomplete strategy
% 56.50/8.49 % (3971116)Time elapsed: 0.001 s
% 56.50/8.49 % (3971116)Peak memory usage: 11 MB
% 56.50/8.49 % (3971116)Instructions burned: 1 (million)
% 56.50/8.49 % (3971116)------------------------------
% 56.50/8.49 % (3971116)------------------------------
% 56.50/8.49 % (3971118)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1217067592:s2a=on:i=28911:sd=1:rtra=on:ss=axioms:sgt=128_2921 on theBenchmark for (2921ds/28911Mi)
% 56.50/8.49 % (3971118)Refutation not found, incomplete strategy
% 58.37/8.89 % (3971118)------------------------------
% 58.37/8.89 % (3971118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.37/8.89 % (3971118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.37/8.89 % (3971118)CaDiCaL version: 2.1.3
% 58.37/8.89 % (3971118)Termination reason: Refutation not found, incomplete strategy
% 58.37/8.89 % (3971118)Time elapsed: 0.001 s
% 58.37/8.89 % (3971118)Peak memory usage: 11 MB
% 58.37/8.89 % (3971118)------------------------------
% 58.37/8.89 % (3971118)------------------------------
% 58.37/8.89 % (3971120)lrs+1002_1_to=lpo:sil=128000:cnfonf=lazy_not_be_gen:si=on:sp=reverse_arity:sos=on:erd=off:lma=off:spb=units:urr=on:cbe=off:uwa=one_side_constant:random_seed=1188085563:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_2921 on theBenchmark for (2921ds/414Mi)
% 58.37/8.89 % (3971120)Refutation not found, incomplete strategy
% 58.37/8.89 % (3971120)------------------------------
% 58.37/8.89 % (3971120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.37/8.89 % (3971120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.37/8.89 % (3971120)CaDiCaL version: 2.1.3
% 58.37/8.89 % (3971120)Termination reason: Refutation not found, incomplete strategy
% 58.37/8.89 % (3971120)Time elapsed: 0.002 s
% 58.37/8.89 % (3971120)Peak memory usage: 11 MB
% 58.37/8.89 % (3971120)Instructions burned: 3 (million)
% 58.37/8.89 % (3971120)------------------------------
% 58.37/8.89 % (3971120)------------------------------
% 58.37/8.89 % (3971096)Instruction limit reached!
% 58.37/8.89 % (3971096)------------------------------
% 58.37/8.89 % (3971096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.37/8.89 % (3971096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.37/8.89 % (3971096)CaDiCaL version: 2.1.3
% 58.37/8.89 % (3971096)Termination reason: Instruction limit
% 58.37/8.89 % (3971096)Termination phase: Saturation
% 58.37/8.89 % (3971096)Time elapsed: 1.300 s
% 58.37/8.89 % (3971096)Peak memory usage: 14 MB
% 58.37/8.89 % (3971096)Instructions burned: 2353 (million)
% 58.37/8.89 % (3971122)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=930369878:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2921 on theBenchmark for (2921ds/429Mi)
% 58.37/8.89 % (3971092)Instruction limit reached!
% 58.37/8.89 % (3971092)------------------------------
% 58.37/8.89 % (3971092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.37/8.89 % (3971092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.37/8.89 % (3971092)CaDiCaL version: 2.1.3
% 58.37/8.89 % (3971092)Termination reason: Instruction limit
% 58.37/8.89 % (3971092)Termination phase: Saturation
% 58.37/8.89 % (3971092)Time elapsed: 1.423 s
% 58.37/8.89 % (3971092)Peak memory usage: 14 MB
% 58.37/8.89 % (3971092)Instructions burned: 3168 (million)
% 58.37/8.89 % (3971125)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1214403313:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2920 on theBenchmark for (2920ds/445Mi)
% 58.37/8.89 % (3971123)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 58.37/8.89 % (3971123)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=4244534295:lrd=on:i=841:nm=0:rtra=on_2921 on theBenchmark for (2921ds/841Mi)
% 58.37/8.89 % (3971122)Instruction limit reached!
% 58.37/8.89 % (3971122)------------------------------
% 58.37/8.89 % (3971122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.37/8.89 % (3971122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.37/8.89 % (3971122)CaDiCaL version: 2.1.3
% 58.37/8.89 % (3971122)Termination reason: Instruction limit
% 58.37/8.89 % (3971122)Termination phase: Saturation
% 58.37/8.89 % (3971122)Time elapsed: 0.241 s
% 58.37/8.89 % (3971122)Peak memory usage: 12 MB
% 58.37/8.89 % (3971122)Instructions burned: 430 (million)
% 58.37/8.89 % (3971128)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=750699128:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_2918 on theBenchmark for (2918ds/1324Mi)
% 58.37/8.89 % (3971128)Refutation not found, incomplete strategy
% 58.37/8.89 % (3971128)------------------------------
% 58.37/8.89 % (3971128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.37/8.89 % (3971128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.18/9.33 % (3971128)CaDiCaL version: 2.1.3
% 63.18/9.33 % (3971128)Termination reason: Refutation not found, incomplete strategy
% 63.18/9.33 % (3971128)Time elapsed: 0.001 s
% 63.18/9.33 % (3971128)Peak memory usage: 11 MB
% 63.18/9.33 % (3971128)Instructions burned: 1 (million)
% 63.18/9.33 % (3971128)------------------------------
% 63.18/9.33 % (3971128)------------------------------
% 63.18/9.33 % (3971112)Instruction limit reached!
% 63.18/9.33 % (3971112)------------------------------
% 63.18/9.33 % (3971112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.18/9.33 % (3971112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.18/9.33 % (3971112)CaDiCaL version: 2.1.3
% 63.18/9.33 % (3971112)Termination reason: Instruction limit
% 63.18/9.33 % (3971112)Termination phase: Saturation
% 63.18/9.33 % (3971112)Time elapsed: 0.514 s
% 63.18/9.33 % (3971112)Peak memory usage: 14 MB
% 63.18/9.33 % (3971112)Instructions burned: 2224 (million)
% 63.18/9.33 % (3971125)Instruction limit reached!
% 63.18/9.33 % (3971125)------------------------------
% 63.18/9.33 % (3971125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.18/9.33 % (3971125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.18/9.33 % (3971125)CaDiCaL version: 2.1.3
% 63.18/9.33 % (3971125)Termination reason: Instruction limit
% 63.18/9.33 % (3971125)Termination phase: Saturation
% 63.18/9.33 % (3971125)Time elapsed: 0.231 s
% 63.18/9.33 % (3971125)Peak memory usage: 14 MB
% 63.18/9.33 % (3971125)Instructions burned: 445 (million)
% 63.18/9.33 % (3971130)dis+21_1_sil=128000:cnfonf=off:e2e=on:si=on:sos=on:spb=goal_then_units:acc=on:uwa=one_side_interpreted:random_seed=3549023847:i=5401:kws=precedence:ep=RST:rtra=on:ss=axioms_2918 on theBenchmark for (2918ds/5401Mi)
% 63.18/9.33 % (3971130)Refutation not found, incomplete strategy
% 63.18/9.33 % (3971130)------------------------------
% 63.18/9.33 % (3971130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.18/9.33 % (3971130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.18/9.33 % (3971130)CaDiCaL version: 2.1.3
% 63.18/9.33 % (3971130)Termination reason: Refutation not found, incomplete strategy
% 63.18/9.33 % (3971130)Time elapsed: 0.001 s
% 63.18/9.33 % (3971130)Peak memory usage: 11 MB
% 63.18/9.33 % (3971130)------------------------------
% 63.18/9.33 % (3971130)------------------------------
% 63.18/9.33 % (3971132)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2007896132:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2918 on theBenchmark for (2918ds/984Mi)
% 63.18/9.33 % (3971131)lrs+10_1_sil=128000:fde=none:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1193259027:s2a=on:i=4070:s2at=3:bd=all:nm=16:av=off:fsr=off:rtra=on_2918 on theBenchmark for (2918ds/4070Mi)
% 63.18/9.33 % (3971132)Refutation not found, incomplete strategy
% 63.18/9.33 % (3971132)------------------------------
% 63.18/9.33 % (3971132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.18/9.33 % (3971132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.18/9.33 % (3971132)CaDiCaL version: 2.1.3
% 63.18/9.33 % (3971132)Termination reason: Refutation not found, incomplete strategy
% 63.18/9.33 % (3971132)Time elapsed: 0.001 s
% 63.18/9.33 % (3971132)Peak memory usage: 11 MB
% 63.18/9.33 % (3971132)Instructions burned: 1 (million)
% 63.18/9.33 % (3971132)------------------------------
% 63.18/9.33 % (3971132)------------------------------
% 63.18/9.33 % (3971134)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=1624904875:cts=off:i=112:fsr=off:rtra=on:fe=abstraction_2918 on theBenchmark for (2918ds/112Mi)
% 63.18/9.33 % (3971134)Refutation not found, incomplete strategy
% 63.18/9.33 % (3971134)------------------------------
% 63.18/9.33 % (3971134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.18/9.33 % (3971134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.18/9.33 % (3971134)CaDiCaL version: 2.1.3
% 63.18/9.33 % (3971134)Termination reason: Refutation not found, incomplete strategy
% 63.18/9.33 % (3971134)Time elapsed: 0.001 s
% 63.18/9.33 % (3971134)Peak memory usage: 11 MB
% 63.18/9.33 % (3971134)Instructions burned: 1 (million)
% 63.18/9.33 % (3971134)------------------------------
% 63.18/9.33 % (3971134)------------------------------
% 63.18/9.33 % (3971137)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1798803151:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2918 on theBenchmark for (2918ds/1144Mi)
% 63.18/9.33 % (3971137)Refutation not found, incomplete strategy
% 70.50/10.32 % (3971137)------------------------------
% 70.50/10.32 % (3971137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.50/10.32 % (3971137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.50/10.32 % (3971137)CaDiCaL version: 2.1.3
% 70.50/10.32 % (3971137)Termination reason: Refutation not found, incomplete strategy
% 70.50/10.32 % (3971137)Time elapsed: 0.001 s
% 70.50/10.32 % (3971137)Peak memory usage: 11 MB
% 70.50/10.32 % (3971137)------------------------------
% 70.50/10.32 % (3971137)------------------------------
% 70.50/10.32 % (3971139)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=2400055208:i=1352:add=off:kws=frequency:rtra=on:ntd=on_2917 on theBenchmark for (2917ds/1352Mi)
% 70.50/10.32 % (3971141)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=4141482424:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2917 on theBenchmark for (2917ds/693Mi)
% 70.50/10.32 % (3971108)Instruction limit reached!
% 70.50/10.32 % (3971108)------------------------------
% 70.50/10.32 % (3971108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.50/10.32 % (3971108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.50/10.32 % (3971108)CaDiCaL version: 2.1.3
% 70.50/10.32 % (3971108)Termination reason: Instruction limit
% 70.50/10.32 % (3971108)Termination phase: Saturation
% 70.50/10.32 % (3971108)Time elapsed: 1.409 s
% 70.50/10.32 % (3971108)Peak memory usage: 17 MB
% 70.50/10.32 % (3971108)Instructions burned: 2274 (million)
% 70.50/10.32 % (3971144)lrs+1010_1_to=lpo:sil=128000:drc=ordering:cnfonf=lazy_gen:si=on:nwc=2:random_seed=17721334:s2a=on:i=908:bd=all:rtra=on:fe=abstraction:ntd=on_2916 on theBenchmark for (2916ds/908Mi)
% 70.50/10.32 % (3971106)Instruction limit reached!
% 70.50/10.32 % (3971106)------------------------------
% 70.50/10.32 % (3971106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.50/10.32 % (3971106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.50/10.32 % (3971106)CaDiCaL version: 2.1.3
% 70.50/10.32 % (3971106)Termination reason: Instruction limit
% 70.50/10.32 % (3971106)Termination phase: Saturation
% 70.50/10.32 % (3971106)Time elapsed: 1.527 s
% 70.50/10.32 % (3971106)Peak memory usage: 14 MB
% 70.50/10.32 % (3971106)Instructions burned: 2023 (million)
% 70.50/10.32 % (3971146)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=689384828:i=6901:add=on:slsql=off:rtra=on:ntd=on_2915 on theBenchmark for (2915ds/6901Mi)
% 70.50/10.32 % (3971141)Instruction limit reached!
% 70.50/10.32 % (3971141)------------------------------
% 70.50/10.32 % (3971141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.50/10.32 % (3971141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.50/10.32 % (3971141)CaDiCaL version: 2.1.3
% 70.50/10.32 % (3971141)Termination reason: Instruction limit
% 70.50/10.32 % (3971141)Termination phase: Saturation
% 70.50/10.32 % (3971141)Time elapsed: 0.275 s
% 70.50/10.32 % (3971141)Peak memory usage: 12 MB
% 70.50/10.32 % (3971141)Instructions burned: 693 (million)
% 70.50/10.32 % (3971148)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=940006313:uwa_fpi=on:i=3621:add=on:doe=on:ins=1:rtra=on_2914 on theBenchmark for (2914ds/3621Mi)
% 70.50/10.32 % (3971123)Instruction limit reached!
% 70.50/10.32 % (3971123)------------------------------
% 70.50/10.32 % (3971123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.50/10.32 % (3971123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.50/10.32 % (3971123)CaDiCaL version: 2.1.3
% 70.50/10.32 % (3971123)Termination reason: Instruction limit
% 70.50/10.32 % (3971123)Termination phase: Saturation
% 70.50/10.32 % (3971123)Time elapsed: 0.632 s
% 70.50/10.32 % (3971123)Peak memory usage: 13 MB
% 70.50/10.32 % (3971123)Instructions burned: 841 (million)
% 70.50/10.32 % (3971150)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=121597304:i=1160:kws=precedence:bd=preordered:av=off:rtra=on_2914 on theBenchmark for (2914ds/1160Mi)
% 70.50/10.32 % (3971150)Refutation not found, incomplete strategy
% 70.50/10.32 % (3971150)------------------------------
% 70.50/10.32 % (3971150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.57/11.54 % (3971150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.57/11.54 % (3971150)CaDiCaL version: 2.1.3
% 78.57/11.54 % (3971150)Termination reason: Refutation not found, incomplete strategy
% 78.57/11.54 % (3971150)Time elapsed: 0.003 s
% 78.57/11.54 % (3971150)Peak memory usage: 11 MB
% 78.57/11.54 % (3971150)Instructions burned: 3 (million)
% 78.57/11.54 % (3971150)------------------------------
% 78.57/11.54 % (3971150)------------------------------
% 78.57/11.54 % (3971152)ott+1003_256_anc=none:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:cbe=off:nwc=2:random_seed=1377854638:i=570:kws=frequency:aac=none:ep=RSTC:rtra=on:ntd=on:rawr=on_2913 on theBenchmark for (2913ds/570Mi)
% 78.57/11.54 % (3971139)Instruction limit reached!
% 78.57/11.54 % (3971139)------------------------------
% 78.57/11.54 % (3971139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.57/11.54 % (3971139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.57/11.54 % (3971139)CaDiCaL version: 2.1.3
% 78.57/11.54 % (3971139)Termination reason: Instruction limit
% 78.57/11.54 % (3971139)Termination phase: Saturation
% 78.57/11.54 % (3971139)Time elapsed: 0.513 s
% 78.57/11.54 % (3971139)Peak memory usage: 12 MB
% 78.57/11.54 % (3971139)Instructions burned: 1353 (million)
% 78.57/11.54 % (3971154)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=972452226:i=324:bd=all:ins=4:rtra=on_2912 on theBenchmark for (2912ds/324Mi)
% 78.57/11.54 % (3971144)Instruction limit reached!
% 78.57/11.54 % (3971144)------------------------------
% 78.57/11.54 % (3971144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.57/11.54 % (3971144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.57/11.54 % (3971144)CaDiCaL version: 2.1.3
% 78.57/11.54 % (3971144)Termination reason: Instruction limit
% 78.57/11.54 % (3971144)Termination phase: Saturation
% 78.57/11.54 % (3971144)Time elapsed: 0.450 s
% 78.57/11.54 % (3971144)Peak memory usage: 14 MB
% 78.57/11.54 % (3971144)Instructions burned: 909 (million)
% 78.57/11.54 % (3971156)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:e2e=on:si=on:lma=off:bsr=on:uwa=interpreted_only:nwc=1:sac=on:random_seed=950209765:s2a=on:i=5712:rtra=on_2911 on theBenchmark for (2911ds/5712Mi)
% 78.57/11.54 % (3971154)Instruction limit reached!
% 78.57/11.54 % (3971154)------------------------------
% 78.57/11.54 % (3971154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.57/11.54 % (3971154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.57/11.54 % (3971154)CaDiCaL version: 2.1.3
% 78.57/11.54 % (3971154)Termination reason: Instruction limit
% 78.57/11.54 % (3971154)Termination phase: Saturation
% 78.57/11.54 % (3971154)Time elapsed: 0.172 s
% 78.57/11.54 % (3971154)Peak memory usage: 14 MB
% 78.57/11.54 % (3971154)Instructions burned: 324 (million)
% 78.57/11.54 % (3971158)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 78.57/11.54 % (3971158)WARNING Broken Constraint: if positive_literal_split_queue_layered_arrangement(on) has been set then positive_literal_split_queue(off) is equal to on
% 78.57/11.54 % (3971158)ott+1010_3:16_to=lpo:sil=128000:cnfonf=lazy_simp:si=on:lma=off:plsqr=32,1:plsql=on:uwa=interpreted_only:random_seed=1504790703:i=901:rtra=on:fsd=on_2910 on theBenchmark for (2910ds/901Mi)
% 78.57/11.54 % (3971152)Instruction limit reached!
% 78.57/11.54 % (3971152)------------------------------
% 78.57/11.54 % (3971152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.57/11.54 % (3971152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.57/11.54 % (3971152)CaDiCaL version: 2.1.3
% 78.57/11.54 % (3971152)Termination reason: Instruction limit
% 78.57/11.54 % (3971152)Termination phase: Saturation
% 78.57/11.54 % (3971152)Time elapsed: 0.378 s
% 78.57/11.54 % (3971152)Peak memory usage: 13 MB
% 78.57/11.54 % (3971152)Instructions burned: 571 (million)
% 78.57/11.54 % (3971160)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1748455534:st=3:s2a=on:i=2961:sd=3:rtra=on:ss=axioms_2909 on theBenchmark for (2909ds/2961Mi)
% 78.57/11.54 % (3971160)Refutation not found, incomplete strategy
% 78.57/11.54 % (3971160)------------------------------
% 78.57/11.54 % (3971160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.57/11.54 % (3971160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.91/12.28 % (3971160)CaDiCaL version: 2.1.3
% 83.91/12.28 % (3971160)Termination reason: Refutation not found, incomplete strategy
% 83.91/12.28 % (3971160)Time elapsed: 0.001 s
% 83.91/12.28 % (3971160)Peak memory usage: 11 MB
% 83.91/12.28 % (3971160)------------------------------
% 83.91/12.28 % (3971160)------------------------------
% 83.91/12.28 % (3971162)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=2520537836:hsq=on:hsqr=16,1:s2a=on:i=3526:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2909 on theBenchmark for (2909ds/3526Mi)
% 83.91/12.28 % (3971158)Instruction limit reached!
% 83.91/12.28 % (3971158)------------------------------
% 83.91/12.28 % (3971158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.91/12.28 % (3971158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.91/12.28 % (3971158)CaDiCaL version: 2.1.3
% 83.91/12.28 % (3971158)Termination reason: Instruction limit
% 83.91/12.28 % (3971158)Termination phase: Saturation
% 83.91/12.28 % (3971158)Time elapsed: 0.581 s
% 83.91/12.28 % (3971158)Peak memory usage: 12 MB
% 83.91/12.28 % (3971158)Instructions burned: 901 (million)
% 83.91/12.28 % (3971164)dis+10_1024_sil=128000:si=on:uwa=off:random_seed=265004798:st=4:i=3368:sd=3:rtra=on:ss=axioms:sgt=10_2904 on theBenchmark for (2904ds/3368Mi)
% 83.91/12.28 % (3971164)Refutation not found, incomplete strategy
% 83.91/12.28 % (3971164)------------------------------
% 83.91/12.28 % (3971164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.91/12.28 % (3971164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.91/12.28 % (3971164)CaDiCaL version: 2.1.3
% 83.91/12.28 % (3971164)Termination reason: Refutation not found, incomplete strategy
% 83.91/12.28 % (3971164)Time elapsed: 0.001 s
% 83.91/12.28 % (3971164)Peak memory usage: 11 MB
% 83.91/12.28 % (3971164)------------------------------
% 83.91/12.28 % (3971164)------------------------------
% 83.91/12.28 % (3971166)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=1290986765:i=20626:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2904 on theBenchmark for (2904ds/20626Mi)
% 83.91/12.28 % (3971146)Instruction limit reached!
% 83.91/12.28 % (3971146)------------------------------
% 83.91/12.28 % (3971146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.91/12.28 % (3971146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.91/12.28 % (3971146)CaDiCaL version: 2.1.3
% 83.91/12.28 % (3971146)Termination reason: Instruction limit
% 83.91/12.28 % (3971146)Termination phase: Saturation
% 83.91/12.28 % (3971146)Time elapsed: 1.248 s
% 83.91/12.28 % (3971146)Peak memory usage: 14 MB
% 83.91/12.28 % (3971146)Instructions burned: 6903 (million)
% 83.91/12.28 % (3971168)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=1362638208:hsq=on:hsqr=1,8:i=27154:hsql=off:bd=all:rtra=on:ixr=off_2903 on theBenchmark for (2903ds/27154Mi)
% 83.91/12.28 % (3971148)Instruction limit reached!
% 83.91/12.28 % (3971148)------------------------------
% 83.91/12.28 % (3971148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.91/12.28 % (3971148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.91/12.28 % (3971148)CaDiCaL version: 2.1.3
% 83.91/12.28 % (3971148)Termination reason: Instruction limit
% 83.91/12.28 % (3971148)Termination phase: Saturation
% 83.91/12.28 % (3971148)Time elapsed: 1.478 s
% 83.91/12.28 % (3971148)Peak memory usage: 17 MB
% 83.91/12.28 % (3971148)Instructions burned: 3622 (million)
% 83.91/12.28 % (3971170)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3165469992:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2899 on theBenchmark for (2899ds/515Mi)
% 83.91/12.28 % (3971170)Refutation not found, incomplete strategy
% 83.91/12.28 % (3971170)------------------------------
% 83.91/12.28 % (3971170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 83.91/12.28 % (3971170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.91/12.28 % (3971170)CaDiCaL version: 2.1.3
% 83.91/12.28 % (3971170)Termination reason: Refutation not found, incomplete strategy
% 83.91/12.28 % (3971170)Time elapsed: 0.001 s
% 83.91/12.28 % (3971170)Peak memory usage: 11 MB
% 83.91/12.28 % (3971170)------------------------------
% 83.91/12.28 % (3971170)------------------------------
% 83.91/12.28 % (3971172)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=872110968:s2a=on:i=2653:s2at=6:nm=2:rtra=on_2899 on theBenchmark for (2899ds/2653Mi)
% 86.51/12.69 % (3971131)Instruction limit reached!
% 86.51/12.69 % (3971131)------------------------------
% 86.51/12.69 % (3971131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.51/12.69 % (3971131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.51/12.69 % (3971131)CaDiCaL version: 2.1.3
% 86.51/12.69 % (3971131)Termination reason: Instruction limit
% 86.51/12.69 % (3971131)Termination phase: Saturation
% 86.51/12.69 % (3971131)Time elapsed: 2.161 s
% 86.51/12.69 % (3971131)Peak memory usage: 17 MB
% 86.51/12.69 % (3971131)Instructions burned: 4071 (million)
% 86.51/12.69 % (3971176)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) 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
% 86.51/12.69 % (3971176)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=602820339:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2896 on theBenchmark for (2896ds/1297Mi)
% 86.51/12.69 % (3971162)Instruction limit reached!
% 86.51/12.69 % (3971162)------------------------------
% 86.51/12.69 % (3971162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.51/12.69 % (3971162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.51/12.69 % (3971162)CaDiCaL version: 2.1.3
% 86.51/12.69 % (3971162)Termination reason: Instruction limit
% 86.51/12.69 % (3971162)Termination phase: Saturation
% 86.51/12.69 % (3971162)Time elapsed: 1.413 s
% 86.51/12.69 % (3971162)Peak memory usage: 14 MB
% 86.51/12.69 % (3971162)Instructions burned: 3530 (million)
% 86.51/12.69 % (3971178)lrs+21_8_to=kbo:tgt=ground:fde=unused:e2e=on:si=on:uwa=hol:foolp=on:random_seed=444874402:uwa_fpi=on:i=1950:kws=frequency:bd=preordered:rtra=on:fe=abstraction_2895 on theBenchmark for (2895ds/1950Mi)
% 86.51/12.69 % (3971156)Instruction limit reached!
% 86.51/12.69 % (3971156)------------------------------
% 86.51/12.69 % (3971156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.51/12.69 % (3971156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.51/12.69 % (3971156)CaDiCaL version: 2.1.3
% 86.51/12.69 % (3971156)Termination reason: Instruction limit
% 86.51/12.69 % (3971156)Termination phase: Saturation
% 86.51/12.69 % (3971156)Time elapsed: 2.136 s
% 86.51/12.69 % (3971156)Peak memory usage: 14 MB
% 86.51/12.69 % (3971156)Instructions burned: 5714 (million)
% 86.51/12.69 % (3971180)dis+1010_1_anc=none:to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=arity:lma=off:urr=on:bce=on:nwc=20:br=off:avsqc=1:random_seed=993945863:avsq=on:i=2818:add=on:avsqr=16,1:hud=0:rtra=on:ss=included:ixr=off:sgt=16_2890 on theBenchmark for (2890ds/2818Mi)
% 86.51/12.69 % (3971176)Instruction limit reached!
% 86.51/12.69 % (3971176)------------------------------
% 86.51/12.69 % (3971176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.51/12.69 % (3971176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.51/12.69 % (3971176)CaDiCaL version: 2.1.3
% 86.51/12.69 % (3971176)Termination reason: Instruction limit
% 86.51/12.69 % (3971176)Termination phase: Saturation
% 86.51/12.69 % (3971176)Time elapsed: 0.629 s
% 86.51/12.69 % (3971176)Peak memory usage: 13 MB
% 86.51/12.69 % (3971176)Instructions burned: 1298 (million)
% 86.51/12.69 % (3971182)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=2644502824:s2a=on:i=573:rtra=on:gsp=on_2889 on theBenchmark for (2889ds/573Mi)
% 86.51/12.69 % (3971182)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 86.51/12.69 % (3971178)Instruction limit reached!
% 86.51/12.69 % (3971178)------------------------------
% 86.51/12.69 % (3971178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.51/12.69 % (3971178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.51/12.69 % (3971178)CaDiCaL version: 2.1.3
% 86.51/12.69 % (3971178)Termination reason: Instruction limit
% 86.51/12.69 % (3971178)Termination phase: Saturation
% 86.51/12.69 % (3971178)Time elapsed: 0.732 s
% 86.51/12.69 % (3971178)Peak memory usage: 14 MB
% 86.51/12.69 % (3971178)Instructions burned: 1950 (million)
% 86.51/12.69 % (3971184)lrs+10_1_sil=128000:cnfonf=off:si=on:fd=preordered:random_seed=3899828057:s2a=on:i=9598:bd=preordered:rtra=on:fe=abstraction_2887 on theBenchmark for (2887ds/9598Mi)
% 104.83/15.18 % (3971172)Instruction limit reached!
% 104.83/15.18 % (3971172)------------------------------
% 104.83/15.18 % (3971172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 104.83/15.18 % (3971172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.83/15.18 % (3971172)CaDiCaL version: 2.1.3
% 104.83/15.18 % (3971172)Termination reason: Instruction limit
% 104.83/15.18 % (3971172)Termination phase: Saturation
% 104.83/15.18 % (3971172)Time elapsed: 1.221 s
% 104.83/15.18 % (3971172)Peak memory usage: 14 MB
% 104.83/15.18 % (3971172)Instructions burned: 2655 (million)
% 104.83/15.18 % (3971186)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 104.83/15.18 % (3971186)ott+1002_16_sil=128000:si=on:random_seed=2564995590:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2887 on theBenchmark for (2887ds/409Mi)
% 104.83/15.18 % (3971182)Instruction limit reached!
% 104.83/15.18 % (3971182)------------------------------
% 104.83/15.18 % (3971182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 104.83/15.18 % (3971182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.83/15.18 % (3971182)CaDiCaL version: 2.1.3
% 104.83/15.18 % (3971182)Termination reason: Instruction limit
% 104.83/15.18 % (3971182)Termination phase: Saturation
% 104.83/15.18 % (3971182)Time elapsed: 0.335 s
% 104.83/15.18 % (3971182)Peak memory usage: 12 MB
% 104.83/15.18 % (3971182)Instructions burned: 574 (million)
% 104.83/15.18 % (3971188)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=1728403651:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2886 on theBenchmark for (2886ds/403Mi)
% 104.83/15.18 % (3971188)Refutation not found, incomplete strategy
% 104.83/15.18 % (3971188)------------------------------
% 104.83/15.18 % (3971188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 104.83/15.18 % (3971188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.83/15.18 % (3971188)CaDiCaL version: 2.1.3
% 104.83/15.18 % (3971188)Termination reason: Refutation not found, incomplete strategy
% 104.83/15.18 % (3971188)Time elapsed: 0.001 s
% 104.83/15.18 % (3971188)Peak memory usage: 11 MB
% 104.83/15.18 % (3971188)Instructions burned: 1 (million)
% 104.83/15.18 % (3971188)------------------------------
% 104.83/15.18 % (3971188)------------------------------
% 104.83/15.18 % (3971190)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=365282381:cond=on:i=1140:rtra=on:ntd=on_2885 on theBenchmark for (2885ds/1140Mi)
% 104.83/15.18 % (3971186)Instruction limit reached!
% 104.83/15.18 % (3971186)------------------------------
% 104.83/15.18 % (3971186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 104.83/15.18 % (3971186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.83/15.18 % (3971186)CaDiCaL version: 2.1.3
% 104.83/15.18 % (3971186)Termination reason: Instruction limit
% 104.83/15.18 % (3971186)Termination phase: Saturation
% 104.83/15.18 % (3971186)Time elapsed: 0.178 s
% 104.83/15.18 % (3971186)Peak memory usage: 13 MB
% 104.83/15.18 % (3971186)Instructions burned: 410 (million)
% 104.83/15.18 % (3971192)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=2044590012:i=13574:kws=inv_precedence:rtra=on_2885 on theBenchmark for (2885ds/13574Mi)
% 104.83/15.18 % (3971192)Refutation not found, incomplete strategy
% 104.83/15.18 % (3971192)------------------------------
% 104.83/15.18 % (3971192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 104.83/15.18 % (3971192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 104.83/15.18 % (3971192)CaDiCaL version: 2.1.3
% 104.83/15.18 % (3971192)Termination reason: Refutation not found, incomplete strategy
% 104.83/15.18 % (3971192)Time elapsed: 0.001 s
% 104.83/15.18 % (3971192)Peak memory usage: 11 MB
% 104.83/15.18 % (3971192)Instructions burned: 1 (million)
% 104.83/15.18 % (3971192)------------------------------
% 104.83/15.18 % (3971192)------------------------------
% 104.83/15.18 % (3971194)lrs+10_2:1_si=on:random_seed=3781520751:s2a=on:i=1055:rtra=on:fe=abstraction_2885 on theBenchmark for (2885ds/1055Mi)
% 104.83/15.18 % (3971194)Instruction limit reached!
% 104.83/15.18 % (3971194)------------------------------
% 104.83/15.18 % (3971194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 104.83/15.18 % (3971194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.21/16.26 % (3971194)CaDiCaL version: 2.1.3
% 112.21/16.26 % (3971194)Termination reason: Instruction limit
% 112.21/16.26 % (3971194)Termination phase: Saturation
% 112.21/16.26 % (3971194)Time elapsed: 0.501 s
% 112.21/16.26 % (3971194)Peak memory usage: 13 MB
% 112.21/16.26 % (3971194)Instructions burned: 1056 (million)
% 112.21/16.26 % (3971196)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 112.21/16.26 % (3971196)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=325838554:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2879 on theBenchmark for (2879ds/416Mi)
% 112.21/16.26 % (3971190)Instruction limit reached!
% 112.21/16.26 % (3971190)------------------------------
% 112.21/16.26 % (3971190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.21/16.26 % (3971190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.21/16.26 % (3971190)CaDiCaL version: 2.1.3
% 112.21/16.26 % (3971190)Termination reason: Instruction limit
% 112.21/16.26 % (3971190)Termination phase: Saturation
% 112.21/16.26 % (3971190)Time elapsed: 0.670 s
% 112.21/16.26 % (3971190)Peak memory usage: 12 MB
% 112.21/16.26 % (3971190)Instructions burned: 1141 (million)
% 112.21/16.26 % (3971199)dis+10_5:1_to=lpo:fde=unused:si=on:spb=goal_then_units:uwa=off:s2agt=10:random_seed=175512542:s2a=on:i=8946:bd=preordered:av=off:rtra=on_2878 on theBenchmark for (2878ds/8946Mi)
% 112.21/16.26 % (3971196)Instruction limit reached!
% 112.21/16.26 % (3971196)------------------------------
% 112.21/16.26 % (3971196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.21/16.26 % (3971196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.21/16.26 % (3971196)CaDiCaL version: 2.1.3
% 112.21/16.26 % (3971196)Termination reason: Instruction limit
% 112.21/16.26 % (3971196)Termination phase: Saturation
% 112.21/16.26 % (3971196)Time elapsed: 0.222 s
% 112.21/16.26 % (3971196)Peak memory usage: 14 MB
% 112.21/16.26 % (3971196)Instructions burned: 416 (million)
% 112.21/16.26 % (3971201)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2513885212:s2a=on:i=2129:nm=16:rtra=on_2877 on theBenchmark for (2877ds/2129Mi)
% 112.21/16.26 % (3971201)Refutation not found, incomplete strategy
% 112.21/16.26 % (3971201)------------------------------
% 112.21/16.26 % (3971201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.21/16.26 % (3971201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.21/16.26 % (3971201)CaDiCaL version: 2.1.3
% 112.21/16.26 % (3971201)Termination reason: Refutation not found, incomplete strategy
% 112.21/16.26 % (3971201)Time elapsed: 0.001 s
% 112.21/16.26 % (3971201)Peak memory usage: 11 MB
% 112.21/16.26 % (3971201)Instructions burned: 1 (million)
% 112.21/16.26 % (3971201)------------------------------
% 112.21/16.26 % (3971201)------------------------------
% 112.21/16.26 % (3971203)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=257720247:uwa_fpi=on:i=300:bd=all:rtra=on:fe=abstraction:ntd=on_2877 on theBenchmark for (2877ds/300Mi)
% 112.21/16.26 % (3971203)Instruction limit reached!
% 112.21/16.26 % (3971203)------------------------------
% 112.21/16.26 % (3971203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.21/16.26 % (3971203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.21/16.26 % (3971203)CaDiCaL version: 2.1.3
% 112.21/16.26 % (3971203)Termination reason: Instruction limit
% 112.21/16.26 % (3971203)Termination phase: Saturation
% 112.21/16.26 % (3971203)Time elapsed: 0.104 s
% 112.21/16.26 % (3971203)Peak memory usage: 13 MB
% 112.21/16.26 % (3971203)Instructions burned: 301 (million)
% 112.21/16.26 % (3971205)lrs+1010_1024_cnfonf=lazy_not_gen_be_off:si=on:sos=on:rp=on:random_seed=836501853:cts=off:uwa_fpi=on:i=11464:doe=on:piset=equals:bd=preordered:nm=128:fsr=off:rtra=on:ixr=off_2875 on theBenchmark for (2875ds/11464Mi)
% 112.21/16.26 % (3971205)Refutation not found, incomplete strategy
% 112.21/16.26 % (3971205)------------------------------
% 112.21/16.26 % (3971205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.21/16.26 % (3971205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.21/16.26 % (3971205)CaDiCaL version: 2.1.3
% 112.21/16.26 % (3971205)Termination reason: Refutation not found, incomplete strategy
% 112.21/16.26 % (3971205)Time elapsed: 0.002 s
% 112.21/16.26 % (3971205)Peak memory usage: 11 MB
% 112.21/16.26 % (3971205)Instructions burned: 3 (million)
% 112.21/16.26 % (3971205)------------------------------
% 112.21/16.26 % (3971205)------------------------------
% 112.21/16.26 % (3971207)dis+2_28_to=kbo:tgt=ground:plsq=on:plsqc=3:si=on:sp=unary_first:plsqr=32,1:spb=goal_then_units:uwa=off:fd=preordered:nwc=3:random_seed=725450637:i=11001:add=on:sd=4:fsr=off:rtra=on:ss=included_2875 on theBenchmark for (2875ds/11001Mi)
% 112.21/16.26 % (3971180)Instruction limit reached!
% 112.21/16.26 % (3971180)------------------------------
% 112.21/16.26 % (3971180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.21/16.26 % (3971180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.21/16.26 % (3971180)CaDiCaL version: 2.1.3
% 112.21/16.26 % (3971180)Termination reason: Instruction limit
% 112.21/16.26 % (3971180)Termination phase: Saturation
% 112.21/16.26 % (3971180)Time elapsed: 2.007 s
% 112.21/16.26 % (3971180)Peak memory usage: 13 MB
% 112.21/16.26 % (3971180)Instructions burned: 2819 (million)
% 112.21/16.26 % (3971211)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=1447402262:hsq=on:i=662:rtra=on:ixr=off_2869 on theBenchmark for (2869ds/662Mi)
% 112.21/16.26 % (3971211)Instruction limit reached!
% 112.21/16.26 % (3971211)------------------------------
% 112.21/16.26 % (3971211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.21/16.26 % (3971211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.21/16.26 % (3971211)CaDiCaL version: 2.1.3
% 112.21/16.26 % (3971211)Termination reason: Instruction limit
% 112.21/16.26 % (3971211)Termination phase: Saturation
% 112.21/16.26 % (3971211)Time elapsed: 0.465 s
% 112.21/16.26 % (3971211)Peak memory usage: 12 MB
% 112.21/16.26 % (3971211)Instructions burned: 664 (million)
% 112.21/16.26 % (3971213)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=125621779:i=1714:bd=preordered:nm=32:rtra=on:fdi=1024_2865 on theBenchmark for (2865ds/1714Mi)
% 112.21/16.26 % (3971213)Instruction limit reached!
% 112.21/16.26 % (3971213)------------------------------
% 112.21/16.26 % (3971213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.21/16.26 % (3971213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.21/16.26 % (3971213)CaDiCaL version: 2.1.3
% 112.21/16.26 % (3971213)Termination reason: Instruction limit
% 112.21/16.26 % (3971213)Termination phase: Saturation
% 112.21/16.26 % (3971213)Time elapsed: 1.014 s
% 112.21/16.26 % (3971213)Peak memory usage: 19 MB
% 112.21/16.26 % (3971213)Instructions burned: 1715 (million)
% 112.21/16.26 % (3971218)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=2392839328:s2a=on:i=699:add=on:bd=preordered:ins=10:rtra=on_2854 on theBenchmark for (2854ds/699Mi)
% 112.21/16.26 % (3971103)Instruction limit reached!
% 112.21/16.26 % (3971103)------------------------------
% 112.21/16.26 % (3971103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.21/16.26 % (3971103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.21/16.26 % (3971103)CaDiCaL version: 2.1.3
% 112.21/16.26 % (3971103)Termination reason: Instruction limit
% 112.21/16.26 % (3971103)Termination phase: Saturation
% 112.21/16.26 % (3971103)Time elapsed: 7.922 s
% 112.21/16.26 % (3971103)Peak memory usage: 14 MB
% 112.21/16.26 % (3971103)Instructions burned: 17242 (million)
% 112.21/16.26 % (3971220)lrs+21_1_to=lpo:sil=128000:fde=none:e2e=on:si=on:lma=off:nwc=4:random_seed=3665879374:i=4542:bd=preordered:rtra=on:ss=axioms_2853 on theBenchmark for (2853ds/4542Mi)
% 112.21/16.26 % (3971220)Refutation not found, incomplete strategy
% 112.21/16.26 % (3971220)------------------------------
% 112.21/16.26 % (3971220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.21/16.26 % (3971220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.21/16.26 % (3971220)CaDiCaL version: 2.1.3
% 112.21/16.26 % (3971220)Termination reason: Refutation not found, incomplete strategy
% 112.21/16.26 % (3971220)Time elapsed: 0.001 s
% 112.21/16.26 % (3971220)Peak memory usage: 11 MB
% 112.21/16.26 % (3971220)------------------------------
% 112.21/16.26 % (3971220)------------------------------
% 112.21/16.26 % (3971222)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=4047007460:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2853 on theBenchmark for (2853ds/280Mi)
% 112.21/16.26 % (3971222)Instruction limit reached!
% 112.21/16.26 % (3971222)------------------------------
% 112.21/16.26 % (3971222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.21/16.26 % (3971222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.21/16.26 % (3971222)CaDiCaL version: 2.1.3
% 112.21/16.26 % (3971222)Termination reason: Instruction limit
% 112.21/16.26 % (3971222)Termination phase: Saturation
% 112.21/16.26 % (3971222)Time elapsed: 0.205 s
% 112.21/16.26 % (3971222)Peak memory usage: 13 MB
% 112.21/16.26 % (3971222)Instructions burned: 281 (million)
% 112.21/16.26 % (3971218)Instruction limit reached!
% 112.21/16.26 % (3971218)------------------------------
% 112.21/16.26 % (3971218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.21/16.26 % (3971218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.21/16.26 % (3971218)CaDiCaL version: 2.1.3
% 112.21/16.26 % (3971218)Termination reason: Instruction limit
% 112.21/16.26 % (3971218)Termination phase: Saturation
% 112.21/16.26 % (3971218)Time elapsed: 0.365 s
% 112.21/16.26 % (3971218)Peak memory usage: 14 MB
% 112.21/16.26 % (3971218)Instructions burned: 699 (million)
% 112.21/16.26 % (3971225)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 112.21/16.26 % (3971226)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=2500841364:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=26870:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2850 on theBenchmark for (2850ds/26870Mi)
% 112.21/16.26 % (3971225)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3755096442:i=13409:hud=10:nm=16:av=off:rtra=on:ntd=on_2850 on theBenchmark for (2850ds/13409Mi)
% 112.21/16.26 % (3971184)Instruction limit reached!
% 112.21/16.26 % (3971184)------------------------------
% 112.21/16.26 % (3971184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.21/16.26 % (3971184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.21/16.26 % (3971184)CaDiCaL version: 2.1.3
% 112.21/16.26 % (3971184)Termination reason: Instruction limit
% 112.21/16.26 % (3971184)Termination phase: Saturation
% 112.21/16.26 % (3971184)Time elapsed: 4.141 s
% 112.21/16.26 % (3971184)Peak memory usage: 13 MB
% 112.21/16.26 % (3971184)Instructions burned: 9600 (million)
% 112.21/16.26 % (3971229)dis+21_16:1_to=lpo:drc=off:cnfonf=lazy_not_be_gen:si=on:sp=const_min:lma=off:urr=on:uwa=hol:nwc=20:s2agt=4:random_seed=63277672:uwa_fpi=on:s2a=on:i=21001:s2at=3:piset=or:hud=15:rtra=on:fe=abstraction_2845 on theBenchmark for (2845ds/21001Mi)
% 112.21/16.26 % (3971166) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3970592-3971166"...
% 112.21/16.26 % (3971166)...printing done.
% 112.21/16.26 % (3971166)Refutation found. Thanks to Tanya!
% 112.21/16.26 % SZS status Unsatisfiable for theBenchmark
% 112.21/16.26 % SZS output start Proof for theBenchmark
% See solution above
% 112.21/16.29 % (3971166)------------------------------
% 112.21/16.29 % (3971166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 112.21/16.29 % (3971166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 112.21/16.29 % (3971166)CaDiCaL version: 2.1.3
% 112.21/16.29 % (3971166)Termination reason: Refutation
% 112.21/16.29 % (3971166)Time elapsed: 6.350 s
% 112.21/16.29 % (3971166)Peak memory usage: 28 MB
% 112.21/16.29 % (3971166)Instructions burned: 9631 (million)
% 112.21/16.29 % (3970592)Success in time 16.003 s
% 112.21/16.29 % Vampire exiting
%------------------------------------------------------------------------------