%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA141^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 07:57:58 AM UTC 2026
% Result : Unsatisfiable 21.46s 3.34s
% Output : Refutation 21.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 128
% Syntax : Number of formulae : 1603 ( 60 unt; 0 typ; 121 def)
% Number of atoms : 12541 (2363 equ; 0 cnn)
% Maximal formula atoms : 14 ( 7 avg)
% Number of connectives : 17328 (3896 ~;4096 |; 0 &;9215 @)
% ( 121 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 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 : 129 ( 126 usr; 124 con; 0-2 aty)
% Number of variables : 839 ( 0 sgn 839 !; 0 ?; 839 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
r: $i > $i > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(f1,axiom,
! [X0: $i] :
( ( s @ X0 )
!= z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X0: $i,X1: $i] :
( ( r @ X0 @ X1 )
| ( b @ X0 @ X1 )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X3: $i,X2: $i,X1: $i,X0: $i] :
( ~ ( r @ X2 @ X3 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X0 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X3: $i,X0: $i,X4: $i,X1: $i,X2: $i] :
( ~ ( b @ X1 @ X2 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X2 @ X4 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X0 @ X3 )
| ~ ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f9,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X3 @ X4 )
| ~ ( b @ X3 @ X0 )
| ~ ( b @ X4 @ X2 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X1 @ X0 )
| ~ ( b @ X1 @ X3 ) ),
inference(rectify,[],[f7]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X3 @ X4 )
!= $true )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( $true
!= ( b @ X4 @ X2 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i] :
( ( r @ X0 @ X1 )
| ( b @ X0 @ X1 )
| ( X0 = X1 ) ),
inference(rectify,[],[f5]) ).
thf(f13,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X1 @ X0 )
| ~ ( r @ X2 @ X1 )
| ~ ( r @ X3 @ X2 )
| ~ ( r @ X3 @ X1 ) ),
inference(rectify,[],[f6]) ).
thf(f15,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X3 @ X2 ) )
| ( $true
!= ( r @ X3 @ X1 ) ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f17,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f9]) ).
thf(f19,plain,
! [X1: $i,X0: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f20,plain,
! [X3: $i,X2: $i,X1: $i,X4: $i,X0: $i] :
( ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( $true
!= ( b @ X4 @ X2 ) ) ),
inference(flattening,[],[f11]) ).
thf(f21,plain,
! [X3: $i,X1: $i,X2: $i,X0: $i] :
( ( $true
!= ( r @ X3 @ X1 ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X3 @ X2 ) ) ),
inference(flattening,[],[f15]) ).
thf(f22,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f17]) ).
thf(f23,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f19]) ).
thf(f24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ X3 ) )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(rectify,[],[f21]) ).
thf(f25,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X1 ) )
| ( ( b @ X0 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ X4 )
!= $true )
| ( ( b @ X0 @ X4 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) ) ),
inference(rectify,[],[f20]) ).
thf(f26,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f27,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X1 @ X3 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f28,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f29,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X3 )
!= $true )
| ( ( b @ X0 @ X4 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X2 @ X4 )
!= $true ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f30,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f31,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f32,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f22]) ).
thf(f35,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) ),
inference(extensionality_resolution,[],[f28,f30]) ).
thf(f36,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f28,f30]) ).
thf(f37,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f28,f26]) ).
thf(f40,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X1 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true != $true )
| ( ( b @ X3 @ X4 )
!= $true )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( X0 = X1 ) ),
inference(constrained_superposition,[],[f29,f28]) ).
thf(f41,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f40]) ).
thf(f42,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ X2 @ ( s @ X0 ) )
!= $true ) ),
inference(constrained_superposition,[],[f27,f35]) ).
thf(f43,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X2 @ z )
!= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ X2 @ ( s @ X0 ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f42]) ).
thf(f45,definition,
( spl0_1
<=> ! [X1: $i] :
( $true
!= ( r @ z @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f46,plain,
( ! [X1: $i] :
( $true
!= ( r @ z @ X1 ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
thf(f48,definition,
( spl0_2
<=> ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f49,plain,
( ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ X2 @ z )
!= $true ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f48]) ).
thf(f50,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f43,f48,f45]) ).
thf(f51,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) ),
inference(constrained_superposition,[],[f29,f36]) ).
thf(f52,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ X0 ) ) )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f51]) ).
thf(f54,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f52,f36]) ).
thf(f56,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X2 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(duplicate_literal_removal,[],[f54]) ).
thf(f57,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ X2 @ z )
!= $true ) ),
inference(trivial_inequality_removal,[],[f56]) ).
thf(f59,definition,
( spl0_3
<=> ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f60,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f59]) ).
thf(f62,definition,
( spl0_4
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f63,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f62]) ).
thf(f64,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f57,f62,f59]) ).
thf(f71,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f37,f26]) ).
thf(f73,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(extensionality_resolution,[],[f37,f30]) ).
thf(f74,plain,
! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f37,f30]) ).
thf(f80,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X3 @ ( s @ z ) )
!= $true ) ),
inference(constrained_superposition,[],[f29,f73]) ).
thf(f82,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X3 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f80]) ).
thf(f91,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f29,f74]) ).
thf(f92,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f91]) ).
thf(f98,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f92,f74]) ).
thf(f100,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true != $true ) ),
inference(duplicate_literal_removal,[],[f98]) ).
thf(f101,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f100]) ).
thf(f105,definition,
( spl0_5
<=> ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f106,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f105]) ).
thf(f108,definition,
( spl0_6
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f109,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f108]) ).
thf(f110,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f101,f108,f105]) ).
thf(f112,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_5 ),
inference(constrained_superposition,[],[f49,f106]) ).
thf(f113,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f27,f106]) ).
thf(f114,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f112]) ).
thf(f116,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f113]) ).
thf(f118,definition,
( spl0_7
<=> ! [X0: $i] :
( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f119,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f118]) ).
thf(f121,definition,
( spl0_8
<=> ( $true
= ( r @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f122,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_8 ),
inference(avatar_component_clause,[],[f121]) ).
thf(f123,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f114,f105,f48,f121,f118]) ).
thf(f124,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| spl0_8 ),
inference(constrained_superposition,[],[f122,f35]) ).
thf(f125,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| spl0_8 ),
inference(trivial_inequality_removal,[],[f124]) ).
thf(f126,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| spl0_8 ),
inference(constrained_superposition,[],[f29,f125]) ).
thf(f127,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) )
| spl0_8 ),
inference(trivial_inequality_removal,[],[f126]) ).
thf(f130,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f116,f35]) ).
thf(f131,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f130]) ).
thf(f133,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(constrained_superposition,[],[f131,f60]) ).
thf(f135,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f133]) ).
thf(f136,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f135,f60]) ).
thf(f137,plain,
( spl0_7
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f136,f105,f59,f118]) ).
thf(f170,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f71,f30]) ).
thf(f171,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f71,f30]) ).
thf(f172,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f71,f26]) ).
thf(f206,definition,
( spl0_9
<=> ! [X1: $i] :
( ( r @ ( s @ z ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f207,plain,
( ! [X1: $i] :
( ( r @ ( s @ z ) @ X1 )
!= $true )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f206]) ).
thf(f216,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f27,f106]) ).
thf(f217,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f216]) ).
thf(f227,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| spl0_8 ),
inference(constrained_superposition,[],[f127,f73]) ).
thf(f229,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| spl0_8 ),
inference(trivial_inequality_removal,[],[f227]) ).
thf(f242,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| spl0_8 ),
inference(constrained_superposition,[],[f229,f73]) ).
thf(f249,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| spl0_8 ),
inference(duplicate_literal_removal,[],[f242]) ).
thf(f250,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| spl0_8 ),
inference(trivial_inequality_removal,[],[f249]) ).
thf(f253,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f250,f125]) ).
thf(f265,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f217,f170]) ).
thf(f268,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(constrained_superposition,[],[f27,f170]) ).
thf(f269,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f268]) ).
thf(f270,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f265]) ).
thf(f274,definition,
( spl0_11
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f275,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f274]) ).
thf(f277,definition,
( spl0_12
<=> ! [X2: $i,X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f278,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f277]) ).
thf(f279,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f269,f277,f274]) ).
thf(f280,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f275,f35]) ).
thf(f281,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f280]) ).
thf(f287,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(constrained_superposition,[],[f270,f60]) ).
thf(f288,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f287]) ).
thf(f290,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f288,f60]) ).
thf(f292,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_5
| spl0_8 ),
inference(constrained_superposition,[],[f253,f290]) ).
thf(f303,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_5
| spl0_8 ),
inference(trivial_inequality_removal,[],[f292]) ).
thf(f306,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_5
| spl0_8
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f303,f275]) ).
thf(f307,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_5
| spl0_8
| ~ spl0_11 ),
inference(constrained_superposition,[],[f306,f73]) ).
thf(f311,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_5
| spl0_8
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f307]) ).
thf(f314,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_5
| spl0_8
| ~ spl0_11 ),
inference(constrained_superposition,[],[f217,f311]) ).
thf(f322,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_3
| ~ spl0_5
| spl0_8
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f314]) ).
thf(f325,definition,
( spl0_13
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f326,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f325]) ).
thf(f328,plain,
( spl0_13
| ~ spl0_3
| ~ spl0_5
| spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f322,f274,f121,f105,f59,f325]) ).
thf(f333,definition,
( spl0_15
<=> ( ( b @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f334,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_15 ),
inference(avatar_component_clause,[],[f333]) ).
thf(f337,definition,
( spl0_16
<=> ( $true
= ( r @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f338,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f337]) ).
thf(f340,definition,
( spl0_17
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f341,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f340]) ).
thf(f355,definition,
( spl0_20
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f356,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f355]) ).
thf(f382,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| spl0_15 ),
inference(constrained_superposition,[],[f334,f36]) ).
thf(f385,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_15 ),
inference(trivial_inequality_removal,[],[f382]) ).
thf(f387,plain,
( spl0_16
| spl0_15 ),
inference(avatar_split_clause,[],[f385,f333,f337]) ).
thf(f396,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 )
| ( ( b @ ( s @ ( s @ X1 ) ) @ z )
!= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f63,f71]) ).
thf(f405,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ X1 ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f396]) ).
thf(f408,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) )
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f405,f119]) ).
thf(f410,definition,
( spl0_25
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
thf(f411,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f410]) ).
thf(f413,definition,
( spl0_26
<=> ( ( b @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f414,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_26 ),
inference(avatar_component_clause,[],[f413]) ).
thf(f416,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 ) )
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f408,f119]) ).
thf(f417,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_26 ),
inference(constrained_superposition,[],[f414,f28]) ).
thf(f418,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_26 ),
inference(trivial_inequality_removal,[],[f417]) ).
thf(f419,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f418,f30]) ).
thf(f420,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| spl0_26 ),
inference(constrained_superposition,[],[f27,f419]) ).
thf(f421,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| spl0_26 ),
inference(trivial_inequality_removal,[],[f420]) ).
thf(f422,plain,
( spl0_20
| spl0_1
| spl0_26 ),
inference(avatar_split_clause,[],[f421,f413,f45,f355]) ).
thf(f461,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_4
| ~ spl0_7 ),
inference(extensionality_resolution,[],[f416,f30]) ).
thf(f474,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f461,f275]) ).
thf(f475,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f474]) ).
thf(f540,definition,
( spl0_28
<=> ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f541,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f540]) ).
thf(f543,definition,
( spl0_29
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f544,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f543]) ).
thf(f547,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f207,f35]) ).
thf(f550,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f547]) ).
thf(f551,plain,
( $false
| ~ spl0_9
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f550,f414]) ).
thf(f552,plain,
( ~ spl0_9
| spl0_26 ),
inference(avatar_contradiction_clause,[],[f551]) ).
thf(f568,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f63,f74]) ).
thf(f572,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f568]) ).
thf(f581,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) )
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f572,f550]) ).
thf(f583,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f581,f207]) ).
thf(f584,plain,
( ( $true != $true )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_28 ),
inference(constrained_superposition,[],[f583,f541]) ).
thf(f586,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f584]) ).
thf(f587,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f586]) ).
thf(f592,plain,
( spl0_28
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f281,f274,f540]) ).
thf(f595,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ X2 @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f27,f60]) ).
thf(f596,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( r @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( r @ X2 @ z )
!= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f595]) ).
thf(f599,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f29,f541]) ).
thf(f600,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f599]) ).
thf(f601,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f109,f28]) ).
thf(f602,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f109,f36]) ).
thf(f603,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f109,f37]) ).
thf(f604,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f109,f73]) ).
thf(f605,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f602]) ).
thf(f606,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f604]) ).
thf(f607,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f603]) ).
thf(f608,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f601]) ).
thf(f625,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f606,f36]) ).
thf(f626,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= X0 )
| ( ( r @ ( s @ ( s @ X1 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f606,f37]) ).
thf(f629,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f625]) ).
thf(f633,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X1 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ X1 ) ) ) )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f626]) ).
thf(f659,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f600,f74]) ).
thf(f664,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f659]) ).
thf(f717,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f608,f36]) ).
thf(f718,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f608,f37]) ).
thf(f719,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ z )
= X1 ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f608,f73]) ).
thf(f720,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f719]) ).
thf(f721,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( s @ z )
= X1 )
| ( z = X0 )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f718]) ).
thf(f723,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f717]) ).
thf(f724,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( z = X1 )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( $true != $true )
| ( ( r @ ( s @ X1 ) @ ( s @ z ) )
= $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f607,f28]) ).
thf(f726,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ X1 ) @ ( s @ z ) )
= $true )
| ( X0 = X1 )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true != $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f607,f37]) ).
thf(f730,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ X1 ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( z = X1 ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f726]) ).
thf(f732,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( z = X1 )
| ( ( s @ X1 )
= X0 )
| ( ( r @ ( s @ X1 ) @ ( s @ z ) )
= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f724]) ).
thf(f799,definition,
( spl0_30
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f800,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f799]) ).
thf(f858,definition,
( spl0_32
<=> ( ( s @ z )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f859,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f858]) ).
thf(f905,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f74,f859]) ).
thf(f955,definition,
( spl0_35
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f956,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f955]) ).
thf(f958,definition,
( spl0_36
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f959,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f958]) ).
thf(f965,definition,
( spl0_37
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
thf(f966,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_37 ),
inference(avatar_component_clause,[],[f965]) ).
thf(f970,definition,
( spl0_38
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f971,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f970]) ).
thf(f973,definition,
( spl0_39
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
thf(f974,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f973]) ).
thf(f977,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f905,f32]) ).
thf(f981,plain,
( $false
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f977,f31]) ).
thf(f982,plain,
~ spl0_32,
inference(avatar_contradiction_clause,[],[f981]) ).
thf(f1050,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_38 ),
inference(avatar_component_clause,[],[f970]) ).
thf(f1088,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( r @ ( s @ X1 ) @ ( s @ z ) )
= $true )
| ( z = X1 ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f732,f37]) ).
thf(f1092,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( z = X1 )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( z = X0 )
| ( ( r @ ( s @ X1 ) @ ( s @ z ) )
= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1088]) ).
thf(f1094,plain,
( ! [X0: $i] :
( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f171,f275]) ).
thf(f1134,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_38 ),
inference(constrained_superposition,[],[f1050,f37]) ).
thf(f1138,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| spl0_38 ),
inference(trivial_inequality_removal,[],[f1134]) ).
thf(f1142,plain,
( ( z
= ( s @ z ) )
| ~ spl0_11
| spl0_38 ),
inference(forward_subsumption_resolution,[],[f1138,f275]) ).
thf(f1144,plain,
( $false
| ~ spl0_11
| spl0_38 ),
inference(forward_subsumption_resolution,[],[f1142,f30]) ).
thf(f1145,plain,
( ~ spl0_11
| spl0_38 ),
inference(avatar_contradiction_clause,[],[f1144]) ).
thf(f1222,definition,
( spl0_43
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
thf(f1223,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f1222]) ).
thf(f1388,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_6
| ~ spl0_38 ),
inference(constrained_superposition,[],[f730,f971]) ).
thf(f1391,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_6
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f1388]) ).
thf(f1394,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_6
| ~ spl0_11
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f1391,f275]) ).
thf(f1396,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11
| ~ spl0_38 ),
inference(constrained_superposition,[],[f49,f1394]) ).
thf(f1399,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f1396]) ).
thf(f1405,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= X1 )
| ( ( s @ ( s @ X0 ) )
= X1 )
| ( $true != $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f720,f28]) ).
thf(f1406,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ ( s @ X0 ) )
= X1 )
| ( ( s @ z )
= X1 ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1405]) ).
thf(f1563,definition,
( spl0_45
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
thf(f1564,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_45 ),
inference(avatar_component_clause,[],[f1563]) ).
thf(f1571,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_45 ),
inference(constrained_superposition,[],[f1564,f28]) ).
thf(f1574,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_45 ),
inference(trivial_inequality_removal,[],[f1571]) ).
thf(f1578,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_9
| spl0_45 ),
inference(forward_subsumption_resolution,[],[f1574,f207]) ).
thf(f1581,plain,
( spl0_32
| ~ spl0_9
| spl0_45 ),
inference(avatar_split_clause,[],[f1578,f1563,f206,f858]) ).
thf(f1594,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(extensionality_resolution,[],[f172,f30]) ).
thf(f1634,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X1 ) ) @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f633,f37]) ).
thf(f1636,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true ) )
| ~ spl0_6
| ~ spl0_38 ),
inference(constrained_superposition,[],[f633,f971]) ).
thf(f1639,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ X1 ) ) ) )
| ( ( r @ ( s @ ( s @ X1 ) ) @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1634]) ).
thf(f1640,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_6
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f1636]) ).
thf(f1642,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_11
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f1640,f275]) ).
thf(f1645,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_6
| ~ spl0_11
| ~ spl0_38 ),
inference(constrained_superposition,[],[f27,f1642]) ).
thf(f1646,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_11
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f1645]) ).
thf(f1786,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ X3 ) )
!= $true )
| ( $true
= ( r @ ( s @ X3 ) @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ ( s @ X3 ) )
!= $true ) ),
inference(extensionality_resolution,[],[f41,f30]) ).
thf(f3518,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(constrained_superposition,[],[f82,f1594]) ).
thf(f3525,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(constrained_superposition,[],[f29,f1594]) ).
thf(f3540,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f3525]) ).
thf(f3553,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f3518]) ).
thf(f3565,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(constrained_superposition,[],[f3540,f74]) ).
thf(f3568,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f3565]) ).
thf(f3573,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f3568,f207]) ).
thf(f3582,definition,
( spl0_53
<=> ! [X2: $i,X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
thf(f3583,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) ) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f3582]) ).
thf(f3585,definition,
( spl0_54
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f3586,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f3585]) ).
thf(f3587,plain,
( spl0_53
| spl0_54
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f3573,f206,f3585,f3582]) ).
thf(f3609,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_11
| ~ spl0_53 ),
inference(constrained_superposition,[],[f3583,f1094]) ).
thf(f3614,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f3609]) ).
thf(f3619,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_38
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f3614,f971]) ).
thf(f3655,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_38
| ~ spl0_53 ),
inference(constrained_superposition,[],[f27,f3619]) ).
thf(f3664,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_38
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f3655]) ).
thf(f3700,definition,
( spl0_55
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
thf(f3701,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f3700]) ).
thf(f3703,definition,
( spl0_56
<=> ! [X1: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
thf(f3704,plain,
( ! [X1: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f3703]) ).
thf(f3705,plain,
( spl0_55
| spl0_56
| ~ spl0_11
| ~ spl0_38
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f3664,f3582,f970,f274,f3703,f3700]) ).
thf(f3736,definition,
( spl0_57
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
thf(f3737,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f3736]) ).
thf(f3739,definition,
( spl0_58
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
thf(f3740,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f3739]) ).
thf(f3802,definition,
( spl0_68
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
thf(f3803,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f3802]) ).
thf(f3808,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f413]) ).
thf(f3819,definition,
( spl0_72
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
thf(f3820,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f3819]) ).
thf(f3826,definition,
( spl0_73
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
thf(f3827,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f3826]) ).
thf(f3828,plain,
( spl0_26
| spl0_73
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f1399,f970,f274,f108,f48,f3826,f413]) ).
thf(f3831,definition,
( spl0_74
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
thf(f3832,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f3831]) ).
thf(f3833,plain,
( spl0_74
| spl0_72
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f664,f540,f3819,f3831]) ).
thf(f3835,definition,
( spl0_75
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
thf(f3836,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f3835]) ).
thf(f3995,definition,
( spl0_111
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
thf(f3996,plain,
( ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) ) )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f3995]) ).
thf(f3997,plain,
( spl0_111
| spl0_9
| ~ spl0_6
| ~ spl0_11
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f1646,f970,f274,f108,f206,f3995]) ).
thf(f4044,definition,
( spl0_122
<=> ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
thf(f4045,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f4044]) ).
thf(f4114,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_3
| ~ spl0_68 ),
inference(constrained_superposition,[],[f596,f3803]) ).
thf(f4130,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f4114]) ).
thf(f4150,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_13 ),
inference(constrained_superposition,[],[f326,f60]) ).
thf(f4152,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f4150]) ).
thf(f4153,plain,
( $false
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f4152,f60]) ).
thf(f4154,plain,
( ~ spl0_3
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f4153]) ).
thf(f4166,definition,
( spl0_129
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
thf(f4167,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f4166]) ).
thf(f4192,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f965]) ).
thf(f4209,plain,
( spl0_36
| ~ spl0_3
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f4130,f3802,f59,f958]) ).
thf(f4234,definition,
( spl0_140
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
thf(f4235,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f4234]) ).
thf(f4246,definition,
( spl0_141
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
thf(f4247,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f4246]) ).
thf(f4253,definition,
( spl0_143
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
thf(f4254,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f4253]) ).
thf(f4255,plain,
( spl0_143
| spl0_140 ),
inference(avatar_split_clause,[],[f3553,f4234,f4253]) ).
thf(f4277,definition,
( spl0_144
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
thf(f4278,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f4277]) ).
thf(f4392,definition,
( spl0_153
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
thf(f4393,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f4392]) ).
thf(f4404,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f974,f170]) ).
thf(f4416,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f4404]) ).
thf(f4423,plain,
( spl0_29
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f4416,f973,f543]) ).
thf(f4433,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_153 ),
inference(constrained_superposition,[],[f4393,f60]) ).
thf(f4436,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f4433]) ).
thf(f4437,plain,
( $false
| ~ spl0_3
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f4436,f60]) ).
thf(f4438,plain,
( ~ spl0_3
| ~ spl0_153 ),
inference(avatar_contradiction_clause,[],[f4437]) ).
thf(f4443,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_111 ),
inference(constrained_superposition,[],[f3996,f60]) ).
thf(f4445,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f4443]) ).
thf(f4446,plain,
( ! [X0: $i] :
( ( s @ X0 )
= ( s @ z ) )
| ~ spl0_3
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f4445,f60]) ).
thf(f4517,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_3
| ~ spl0_111 ),
inference(constrained_superposition,[],[f74,f4446]) ).
thf(f4706,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f121]) ).
thf(f4724,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f1563]) ).
thf(f4752,definition,
( spl0_163
<=> ! [X2: $i,X0: $i,X3: $i] :
( ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X3 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
thf(f4753,plain,
( ! [X2: $i,X3: $i,X0: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ X2 ) ) )
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f4752]) ).
thf(f4755,definition,
( spl0_164
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
thf(f4756,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f4755]) ).
thf(f4760,definition,
( spl0_165
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
thf(f4761,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f4760]) ).
thf(f4772,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_3
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f4517,f31]) ).
thf(f4808,plain,
( $false
| ~ spl0_3
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f4772,f32]) ).
thf(f4809,plain,
( ~ spl0_3
| ~ spl0_111 ),
inference(avatar_contradiction_clause,[],[f4808]) ).
thf(f5177,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_58 ),
inference(constrained_superposition,[],[f74,f3740]) ).
thf(f5314,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f5177,f31]) ).
thf(f5345,plain,
( $false
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f5314,f32]) ).
thf(f5346,plain,
~ spl0_58,
inference(avatar_contradiction_clause,[],[f5345]) ).
thf(f5360,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_20
| ~ spl0_140 ),
inference(constrained_superposition,[],[f356,f4235]) ).
thf(f5365,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_20
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f5360]) ).
thf(f5368,definition,
( spl0_177
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).
thf(f5369,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f5368]) ).
thf(f5372,plain,
( ~ spl0_37
| ~ spl0_20
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f5365,f4234,f355,f965]) ).
thf(f5421,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_29
| ~ spl0_37 ),
inference(constrained_superposition,[],[f544,f4192]) ).
thf(f5426,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_29
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f5421]) ).
thf(f5435,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_29
| ~ spl0_37 ),
inference(constrained_superposition,[],[f721,f5426]) ).
thf(f5460,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_29
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f5435]) ).
thf(f5472,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_35 ),
inference(avatar_component_clause,[],[f955]) ).
thf(f5474,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_29
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f5460,f30]) ).
thf(f5478,plain,
( spl0_140
| spl0_141
| spl0_32
| ~ spl0_6
| ~ spl0_29
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f5474,f965,f543,f108,f858,f4246,f4234]) ).
thf(f5509,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_177 ),
inference(constrained_superposition,[],[f5369,f60]) ).
thf(f5511,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f5509]) ).
thf(f5512,plain,
( $false
| ~ spl0_3
| ~ spl0_177 ),
inference(forward_subsumption_resolution,[],[f5511,f60]) ).
thf(f5513,plain,
( ~ spl0_3
| ~ spl0_177 ),
inference(avatar_contradiction_clause,[],[f5512]) ).
thf(f5558,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_12 ),
inference(constrained_superposition,[],[f278,f60]) ).
thf(f5561,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_3
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f5558]) ).
thf(f5565,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_3
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f5561,f60]) ).
thf(f5566,plain,
( spl0_122
| ~ spl0_3
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f5565,f277,f59,f4044]) ).
thf(f5573,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_74
| ~ spl0_122 ),
inference(constrained_superposition,[],[f3832,f4045]) ).
thf(f5574,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_75
| ~ spl0_122 ),
inference(constrained_superposition,[],[f3836,f4045]) ).
thf(f5582,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl0_122 ),
inference(constrained_superposition,[],[f29,f4045]) ).
thf(f5585,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_74
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f5573]) ).
thf(f5590,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_75
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f5574]) ).
thf(f5601,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f5582]) ).
thf(f5708,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f3586,f1594]) ).
thf(f5714,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f5708]) ).
thf(f5731,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_74
| ~ spl0_122 ),
inference(constrained_superposition,[],[f5585,f74]) ).
thf(f5735,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_74
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f5731]) ).
thf(f5738,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_9
| ~ spl0_74
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f5735,f207]) ).
thf(f5743,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_74
| ~ spl0_122 ),
inference(constrained_superposition,[],[f5738,f4045]) ).
thf(f5749,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_9
| ~ spl0_74
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f5743]) ).
thf(f5755,plain,
( $false
| ~ spl0_9
| ~ spl0_28
| ~ spl0_74
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f5749,f541]) ).
thf(f5756,plain,
( ~ spl0_9
| ~ spl0_28
| ~ spl0_74
| ~ spl0_122 ),
inference(avatar_contradiction_clause,[],[f5755]) ).
thf(f5758,definition,
( spl0_186
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
thf(f5759,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f5758]) ).
thf(f5761,definition,
( spl0_187
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).
thf(f5762,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_187 ),
inference(avatar_component_clause,[],[f5761]) ).
thf(f5819,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_75
| ~ spl0_122 ),
inference(constrained_superposition,[],[f5590,f74]) ).
thf(f5824,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_75
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f5819]) ).
thf(f5827,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_9
| ~ spl0_75
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f5824,f207]) ).
thf(f5831,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_75
| ~ spl0_122 ),
inference(constrained_superposition,[],[f5827,f4045]) ).
thf(f5839,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_9
| ~ spl0_75
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f5831]) ).
thf(f5843,plain,
( $false
| ~ spl0_9
| ~ spl0_38
| ~ spl0_75
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f5839,f971]) ).
thf(f5844,plain,
( ~ spl0_9
| ~ spl0_38
| ~ spl0_75
| ~ spl0_122 ),
inference(avatar_contradiction_clause,[],[f5843]) ).
thf(f5857,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f5714,f74]) ).
thf(f5860,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f5857]) ).
thf(f5863,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f5860,f207]) ).
thf(f5866,plain,
( spl0_186
| ~ spl0_9
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f5863,f3585,f206,f5758]) ).
thf(f5962,definition,
( spl0_192
<=> ! [X1: $i] :
( ( ( r @ ( s @ X1 ) @ ( s @ z ) )
= $true )
| ( z = X1 )
| ( ( s @ X1 )
= ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
thf(f5963,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ X1 ) @ ( s @ z ) )
= $true )
| ( ( s @ X1 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X1 ) )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f5962]) ).
thf(f5969,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f5761]) ).
thf(f5976,definition,
( spl0_194
<=> ! [X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ z )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
thf(f5977,plain,
( ! [X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ z )
= X1 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 ) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f5976]) ).
thf(f6001,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_3
| ~ spl0_55 ),
inference(constrained_superposition,[],[f3701,f60]) ).
thf(f6003,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_3
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f6001]) ).
thf(f6008,plain,
( $false
| ~ spl0_3
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f6003,f60]) ).
thf(f6009,plain,
( ~ spl0_3
| ~ spl0_55 ),
inference(avatar_contradiction_clause,[],[f6008]) ).
thf(f6014,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_56 ),
inference(constrained_superposition,[],[f3704,f35]) ).
thf(f6018,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_6
| ~ spl0_56 ),
inference(constrained_superposition,[],[f3704,f1406]) ).
thf(f6024,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
= $true )
| ( $true != $true ) )
| ~ spl0_6
| ~ spl0_56 ),
inference(constrained_superposition,[],[f3704,f1092]) ).
thf(f6039,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f6014]) ).
thf(f6041,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_6
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f6018]) ).
thf(f6046,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_6
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f6024]) ).
thf(f6058,plain,
( spl0_187
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f6039,f3703,f5761]) ).
thf(f6060,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_6
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f6041,f3704]) ).
thf(f6061,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_6
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f6046,f30]) ).
thf(f6068,plain,
( spl0_194
| ~ spl0_6
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f6060,f3703,f108,f5976]) ).
thf(f6069,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f6061,f3704]) ).
thf(f6073,plain,
( spl0_192
| ~ spl0_6
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f6069,f3703,f108,f5962]) ).
thf(f6122,definition,
( spl0_196
<=> ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).
thf(f6123,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_196 ),
inference(avatar_component_clause,[],[f6122]) ).
thf(f6131,definition,
( spl0_198
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
thf(f6132,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f6131]) ).
thf(f6134,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_196 ),
inference(constrained_superposition,[],[f6123,f36]) ).
thf(f6135,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_196 ),
inference(constrained_superposition,[],[f6123,f28]) ).
thf(f6136,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_196 ),
inference(trivial_inequality_removal,[],[f6135]) ).
thf(f6137,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_196 ),
inference(trivial_inequality_removal,[],[f6134]) ).
thf(f6166,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_28 ),
inference(avatar_component_clause,[],[f540]) ).
thf(f6169,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| spl0_28 ),
inference(constrained_superposition,[],[f6166,f28]) ).
thf(f6170,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_28 ),
inference(trivial_inequality_removal,[],[f6169]) ).
thf(f6171,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f6170,f30]) ).
thf(f6172,plain,
( spl0_144
| spl0_28 ),
inference(avatar_split_clause,[],[f6171,f540,f4277]) ).
thf(f6201,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_122 ),
inference(constrained_superposition,[],[f5601,f74]) ).
thf(f6208,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f6201]) ).
thf(f6239,definition,
( spl0_199
<=> ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).
thf(f6240,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_199 ),
inference(avatar_component_clause,[],[f6239]) ).
thf(f6245,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_165 ),
inference(avatar_component_clause,[],[f4760]) ).
thf(f6247,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| spl0_199 ),
inference(constrained_superposition,[],[f6240,f36]) ).
thf(f6249,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_199 ),
inference(trivial_inequality_removal,[],[f6247]) ).
thf(f6294,definition,
( spl0_202
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).
thf(f6295,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f6294]) ).
thf(f6307,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_36
| ~ spl0_164 ),
inference(constrained_superposition,[],[f959,f4756]) ).
thf(f6316,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_164 ),
inference(constrained_superposition,[],[f49,f4756]) ).
thf(f6345,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f6316]) ).
thf(f6346,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_36
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f6307]) ).
thf(f6365,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_144
| ~ spl0_164 ),
inference(forward_subsumption_resolution,[],[f6345,f4278]) ).
thf(f6366,plain,
( $false
| ~ spl0_36
| ~ spl0_144
| ~ spl0_164 ),
inference(forward_subsumption_resolution,[],[f6346,f4278]) ).
thf(f6367,plain,
( ~ spl0_36
| ~ spl0_144
| ~ spl0_164 ),
inference(avatar_contradiction_clause,[],[f6366]) ).
thf(f6381,plain,
( $false
| ~ spl0_2
| ~ spl0_144
| ~ spl0_164
| spl0_187 ),
inference(forward_subsumption_resolution,[],[f6365,f5762]) ).
thf(f6382,plain,
( ~ spl0_2
| ~ spl0_144
| ~ spl0_164
| spl0_187 ),
inference(avatar_contradiction_clause,[],[f6381]) ).
thf(f6471,definition,
( spl0_203
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).
thf(f6472,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_203 ),
inference(avatar_component_clause,[],[f6471]) ).
thf(f6483,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_57 ),
inference(constrained_superposition,[],[f170,f3737]) ).
thf(f6619,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f6483,f32]) ).
thf(f6627,definition,
( spl0_208
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).
thf(f6628,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f6627]) ).
thf(f6630,definition,
( spl0_209
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).
thf(f6631,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f6630]) ).
thf(f6642,definition,
( spl0_211
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).
thf(f6643,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f6642]) ).
thf(f6653,plain,
( $false
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f6619,f31]) ).
thf(f6654,plain,
~ spl0_57,
inference(avatar_contradiction_clause,[],[f6653]) ).
thf(f6659,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_37 ),
inference(constrained_superposition,[],[f966,f35]) ).
thf(f6660,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_37 ),
inference(trivial_inequality_removal,[],[f6659]) ).
thf(f6661,plain,
( spl0_187
| spl0_37 ),
inference(avatar_split_clause,[],[f6660,f965,f5761]) ).
thf(f6674,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_35 ),
inference(constrained_superposition,[],[f5472,f73]) ).
thf(f6679,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_35 ),
inference(trivial_inequality_removal,[],[f6674]) ).
thf(f6682,plain,
( spl0_140
| spl0_35 ),
inference(avatar_split_clause,[],[f6679,f955,f4234]) ).
thf(f6817,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_129 ),
inference(constrained_superposition,[],[f4167,f60]) ).
thf(f6823,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_129 ),
inference(trivial_inequality_removal,[],[f6817]) ).
thf(f6831,plain,
( $false
| ~ spl0_3
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[],[f6823,f60]) ).
thf(f6832,plain,
( ~ spl0_3
| ~ spl0_129 ),
inference(avatar_contradiction_clause,[],[f6831]) ).
thf(f7030,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_186 ),
inference(constrained_superposition,[],[f27,f5759]) ).
thf(f7043,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) )
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f7030]) ).
thf(f7539,definition,
( spl0_218
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).
thf(f7540,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_218 ),
inference(avatar_component_clause,[],[f7539]) ).
thf(f7546,definition,
( spl0_220
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).
thf(f7547,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_220 ),
inference(avatar_component_clause,[],[f7546]) ).
thf(f7561,definition,
( spl0_223
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
thf(f7562,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_223 ),
inference(avatar_component_clause,[],[f7561]) ).
thf(f7614,definition,
( spl0_231
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_231])],[avatar_definition]) ).
thf(f7615,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_231 ),
inference(avatar_component_clause,[],[f7614]) ).
thf(f8458,definition,
( spl0_234
<=> ! [X1: $i] :
( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_234])],[avatar_definition]) ).
thf(f8459,plain,
( ! [X1: $i] :
( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ~ spl0_234 ),
inference(avatar_component_clause,[],[f8458]) ).
thf(f8709,definition,
( spl0_239
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_239])],[avatar_definition]) ).
thf(f8710,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_239 ),
inference(avatar_component_clause,[],[f8709]) ).
thf(f8821,definition,
( spl0_242
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).
thf(f8822,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_242 ),
inference(avatar_component_clause,[],[f8821]) ).
thf(f8824,definition,
( spl0_243
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).
thf(f8825,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_243 ),
inference(avatar_component_clause,[],[f8824]) ).
thf(f9280,definition,
( spl0_245
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_245])],[avatar_definition]) ).
thf(f9281,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_245 ),
inference(avatar_component_clause,[],[f9280]) ).
thf(f9297,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_57 ),
inference(avatar_component_clause,[],[f3736]) ).
thf(f9309,plain,
( ( ( s @ z )
!= ( s @ ( s @ z ) ) )
| spl0_32 ),
inference(avatar_component_clause,[],[f858]) ).
thf(f9336,definition,
( spl0_252
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_252])],[avatar_definition]) ).
thf(f9337,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_252 ),
inference(avatar_component_clause,[],[f9336]) ).
thf(f9435,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_32 ),
inference(extensionality_resolution,[],[f71,f9309]) ).
thf(f9442,definition,
( spl0_260
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_260])],[avatar_definition]) ).
thf(f9443,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_260 ),
inference(avatar_component_clause,[],[f9442]) ).
thf(f9445,definition,
( spl0_261
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_261])],[avatar_definition]) ).
thf(f9446,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_261 ),
inference(avatar_component_clause,[],[f9445]) ).
thf(f9449,definition,
( spl0_262
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_262])],[avatar_definition]) ).
thf(f9450,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_262 ),
inference(avatar_component_clause,[],[f9449]) ).
thf(f9452,definition,
( spl0_263
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_263])],[avatar_definition]) ).
thf(f9453,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_263 ),
inference(avatar_component_clause,[],[f9452]) ).
thf(f9455,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_32
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f9435,f3704]) ).
thf(f9464,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_57 ),
inference(extensionality_resolution,[],[f41,f9297]) ).
thf(f9468,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_57 ),
inference(extensionality_resolution,[],[f71,f9297]) ).
thf(f9469,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_57 ),
inference(extensionality_resolution,[],[f71,f9297]) ).
thf(f9470,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_57 ),
inference(extensionality_resolution,[],[f37,f9297]) ).
thf(f9475,plain,
( spl0_263
| spl0_262
| spl0_57 ),
inference(avatar_split_clause,[],[f9468,f3736,f9449,f9452]) ).
thf(f9477,plain,
( spl0_261
| spl0_260
| spl0_57 ),
inference(avatar_split_clause,[],[f9469,f3736,f9442,f9445]) ).
thf(f9527,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_32
| ~ spl0_56
| ~ spl0_122 ),
inference(constrained_superposition,[],[f5601,f9455]) ).
thf(f9528,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_30
| spl0_32
| ~ spl0_56 ),
inference(constrained_superposition,[],[f800,f9455]) ).
thf(f9549,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_30
| spl0_32
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f9528]) ).
thf(f9563,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_32
| ~ spl0_56
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f9527]) ).
thf(f9567,plain,
( $false
| ~ spl0_30
| spl0_32
| ~ spl0_35
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f9549,f956]) ).
thf(f9568,plain,
( ~ spl0_30
| spl0_32
| ~ spl0_35
| ~ spl0_56 ),
inference(avatar_contradiction_clause,[],[f9567]) ).
thf(f9578,definition,
( spl0_269
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).
thf(f9579,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_269 ),
inference(avatar_component_clause,[],[f9578]) ).
thf(f9581,definition,
( spl0_270
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_270])],[avatar_definition]) ).
thf(f9582,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_270 ),
inference(avatar_component_clause,[],[f9581]) ).
thf(f9583,plain,
( spl0_269
| spl0_270
| spl0_32
| ~ spl0_56
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f9563,f4044,f3703,f858,f9581,f9578]) ).
thf(f9593,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_9
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f6208,f207]) ).
thf(f9599,definition,
( spl0_272
<=> ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_272])],[avatar_definition]) ).
thf(f9600,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_272 ),
inference(avatar_component_clause,[],[f9599]) ).
thf(f9601,plain,
( spl0_30
| spl0_272
| ~ spl0_9
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f9593,f4044,f206,f9599,f799]) ).
thf(f9626,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_122
| ~ spl0_272 ),
inference(constrained_superposition,[],[f9600,f4045]) ).
thf(f9632,plain,
( ! [X0: $i] :
( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ~ spl0_122
| ~ spl0_272 ),
inference(trivial_inequality_removal,[],[f9626]) ).
thf(f9645,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_122
| ~ spl0_272 ),
inference(constrained_superposition,[],[f9632,f37]) ).
thf(f9647,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_122
| ~ spl0_272 ),
inference(trivial_inequality_removal,[],[f9645]) ).
thf(f9650,plain,
( ! [X0: $i] :
( z
= ( s @ ( s @ X0 ) ) )
| ~ spl0_9
| ~ spl0_122
| ~ spl0_272 ),
inference(forward_subsumption_resolution,[],[f9647,f207]) ).
thf(f9654,plain,
( $false
| ~ spl0_9
| ~ spl0_122
| ~ spl0_272 ),
inference(forward_subsumption_resolution,[],[f9650,f30]) ).
thf(f9655,plain,
( ~ spl0_9
| ~ spl0_122
| ~ spl0_272 ),
inference(avatar_contradiction_clause,[],[f9654]) ).
thf(f9662,definition,
( spl0_274
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_274])],[avatar_definition]) ).
thf(f9663,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_274 ),
inference(avatar_component_clause,[],[f9662]) ).
thf(f9669,definition,
( spl0_276
<=> ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_276])],[avatar_definition]) ).
thf(f9670,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_276 ),
inference(avatar_component_clause,[],[f9669]) ).
thf(f9674,definition,
( spl0_277
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_277])],[avatar_definition]) ).
thf(f9675,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_277 ),
inference(avatar_component_clause,[],[f9674]) ).
thf(f9677,definition,
( spl0_278
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_278])],[avatar_definition]) ).
thf(f9678,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_278 ),
inference(avatar_component_clause,[],[f9677]) ).
thf(f9681,definition,
( spl0_279
<=> ! [X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_279])],[avatar_definition]) ).
thf(f9682,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_279 ),
inference(avatar_component_clause,[],[f9681]) ).
thf(f9692,plain,
( spl0_16
| spl0_17
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f605,f108,f340,f337]) ).
thf(f9696,plain,
( spl0_278
| spl0_277
| spl0_57 ),
inference(avatar_split_clause,[],[f9470,f3736,f9674,f9677]) ).
thf(f9700,definition,
( spl0_282
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_282])],[avatar_definition]) ).
thf(f9701,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_282 ),
inference(avatar_component_clause,[],[f9700]) ).
thf(f9702,plain,
( spl0_16
| spl0_282
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f723,f108,f9700,f337]) ).
thf(f9710,definition,
( spl0_284
<=> ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_284])],[avatar_definition]) ).
thf(f9711,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_284 ),
inference(avatar_component_clause,[],[f9710]) ).
thf(f9713,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_196 ),
inference(forward_subsumption_resolution,[],[f6136,f30]) ).
thf(f9722,plain,
( spl0_276
| spl0_199 ),
inference(avatar_split_clause,[],[f6249,f6239,f9669]) ).
thf(f9725,plain,
( spl0_55
| spl0_56
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f7043,f5758,f3703,f3700]) ).
thf(f9772,plain,
( spl0_284
| spl0_196 ),
inference(avatar_split_clause,[],[f9713,f6122,f9710]) ).
thf(f9793,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| ~ spl0_1
| ~ spl0_194 ),
inference(constrained_superposition,[],[f46,f5977]) ).
thf(f9798,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| ~ spl0_1
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f9793]) ).
thf(f9801,plain,
( ( z
= ( s @ z ) )
| ~ spl0_1
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f9798,f30]) ).
thf(f9803,plain,
( $false
| ~ spl0_1
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f9801,f30]) ).
thf(f9804,plain,
( ~ spl0_1
| ~ spl0_194 ),
inference(avatar_contradiction_clause,[],[f9803]) ).
thf(f9846,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_122
| ~ spl0_279 ),
inference(constrained_superposition,[],[f9682,f4045]) ).
thf(f9848,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_279 ),
inference(constrained_superposition,[],[f9682,f74]) ).
thf(f9849,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f9848]) ).
thf(f9855,plain,
( ! [X0: $i] :
( $true
!= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_122
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f9846]) ).
thf(f9863,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_122
| ~ spl0_279 ),
inference(constrained_superposition,[],[f9855,f28]) ).
thf(f9864,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_122
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f9863]) ).
thf(f9870,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f63,f73]) ).
thf(f9876,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f63,f74]) ).
thf(f9877,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_45 ),
inference(constrained_superposition,[],[f63,f4724]) ).
thf(f9884,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f9876]) ).
thf(f9891,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f9870]) ).
thf(f9892,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f9877]) ).
thf(f9897,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_4
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f9884,f3808]) ).
thf(f9898,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f9891,f3808]) ).
thf(f9902,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f9897,f207]) ).
thf(f9912,plain,
( ( $true != $true )
| ~ spl0_1
| ~ spl0_16 ),
inference(constrained_superposition,[],[f46,f338]) ).
thf(f9917,plain,
( $false
| ~ spl0_1
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f9912]) ).
thf(f9918,plain,
( ~ spl0_1
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f9917]) ).
thf(f9926,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_122
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f9864,f30]) ).
thf(f9928,plain,
( $false
| ~ spl0_1
| ~ spl0_284 ),
inference(forward_subsumption_resolution,[],[f9711,f46]) ).
thf(f9929,plain,
( ~ spl0_1
| ~ spl0_284 ),
inference(avatar_contradiction_clause,[],[f9928]) ).
thf(f9931,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f629,f46]) ).
thf(f9933,plain,
( $false
| ~ spl0_1
| spl0_196 ),
inference(forward_subsumption_resolution,[],[f6137,f46]) ).
thf(f9934,plain,
( ~ spl0_1
| spl0_196 ),
inference(avatar_contradiction_clause,[],[f9933]) ).
thf(f9937,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_9
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f9849,f207]) ).
thf(f9939,plain,
( $false
| ~ spl0_1
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[],[f9670,f46]) ).
thf(f9940,plain,
( ~ spl0_1
| ~ spl0_276 ),
inference(avatar_contradiction_clause,[],[f9939]) ).
thf(f9946,plain,
( $false
| ~ spl0_1
| ~ spl0_122
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f9926,f46]) ).
thf(f9947,plain,
( ~ spl0_1
| ~ spl0_122
| ~ spl0_279 ),
inference(avatar_contradiction_clause,[],[f9946]) ).
thf(f9950,plain,
( spl0_25
| ~ spl0_15
| ~ spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f9931,f108,f45,f333,f410]) ).
thf(f9951,plain,
( ~ spl0_15
| ~ spl0_9
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f9937,f9681,f206,f333]) ).
thf(f9955,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_26 ),
inference(constrained_superposition,[],[f9902,f28]) ).
thf(f9956,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f9955]) ).
thf(f9957,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_9
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f9956,f30]) ).
thf(f9958,plain,
( spl0_234
| ~ spl0_4
| ~ spl0_9
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f9957,f413,f206,f62,f8458]) ).
thf(f10010,plain,
( $false
| ~ spl0_4
| ~ spl0_9
| ~ spl0_26
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f5969,f9902]) ).
thf(f10011,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_26
| ~ spl0_187 ),
inference(avatar_contradiction_clause,[],[f10010]) ).
thf(f10023,plain,
( spl0_164
| spl0_163
| spl0_57 ),
inference(avatar_split_clause,[],[f9464,f3736,f4752,f4755]) ).
thf(f10029,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_29
| ~ spl0_234 ),
inference(forward_subsumption_resolution,[],[f544,f8459]) ).
thf(f10033,plain,
( spl0_122
| ~ spl0_29
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f10029,f8458,f543,f4044]) ).
thf(f10105,definition,
( spl0_302
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_302])],[avatar_definition]) ).
thf(f10106,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_302 ),
inference(avatar_component_clause,[],[f10105]) ).
thf(f10108,definition,
( spl0_303
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_303])],[avatar_definition]) ).
thf(f10109,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_303 ),
inference(avatar_component_clause,[],[f10108]) ).
thf(f10241,definition,
( spl0_306
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_306])],[avatar_definition]) ).
thf(f10242,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_306 ),
inference(avatar_component_clause,[],[f10241]) ).
thf(f10244,definition,
( spl0_307
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_307])],[avatar_definition]) ).
thf(f10245,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_307 ),
inference(avatar_component_clause,[],[f10244]) ).
thf(f10340,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_260 ),
inference(constrained_superposition,[],[f278,f9443]) ).
thf(f10343,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_12
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f10340]) ).
thf(f10353,definition,
( spl0_309
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_309])],[avatar_definition]) ).
thf(f10354,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_309 ),
inference(avatar_component_clause,[],[f10353]) ).
thf(f10442,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_270 ),
inference(constrained_superposition,[],[f9582,f36]) ).
thf(f10453,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f10442]) ).
thf(f10456,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_1
| ~ spl0_270 ),
inference(forward_subsumption_resolution,[],[f10453,f46]) ).
thf(f10458,plain,
( ~ spl0_199
| ~ spl0_1
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f10456,f9581,f45,f6239]) ).
thf(f10460,definition,
( spl0_311
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_311])],[avatar_definition]) ).
thf(f10461,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_311 ),
inference(avatar_component_clause,[],[f10460]) ).
thf(f10462,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_211 ),
inference(avatar_component_clause,[],[f6642]) ).
thf(f10463,plain,
( spl0_311
| ~ spl0_211
| ~ spl0_12
| ~ spl0_260 ),
inference(avatar_split_clause,[],[f10343,f9442,f277,f6642,f10460]) ).
thf(f10468,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_12
| ~ spl0_277 ),
inference(constrained_superposition,[],[f278,f9675]) ).
thf(f10472,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_12
| ~ spl0_277 ),
inference(trivial_inequality_removal,[],[f10468]) ).
thf(f10476,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_12
| ~ spl0_68
| ~ spl0_277 ),
inference(forward_subsumption_resolution,[],[f10472,f3803]) ).
thf(f10477,plain,
( spl0_311
| ~ spl0_12
| ~ spl0_68
| ~ spl0_277 ),
inference(avatar_split_clause,[],[f10476,f9674,f3802,f277,f10460]) ).
thf(f10479,definition,
( spl0_312
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_312])],[avatar_definition]) ).
thf(f10480,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_312 ),
inference(avatar_component_clause,[],[f10479]) ).
thf(f10481,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_208 ),
inference(avatar_component_clause,[],[f6627]) ).
thf(f10511,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_208 ),
inference(constrained_superposition,[],[f10481,f170]) ).
thf(f10516,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_208 ),
inference(trivial_inequality_removal,[],[f10511]) ).
thf(f10523,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_211 ),
inference(constrained_superposition,[],[f10462,f170]) ).
thf(f10531,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_211 ),
inference(trivial_inequality_removal,[],[f10523]) ).
thf(f10533,plain,
( spl0_312
| spl0_211 ),
inference(avatar_split_clause,[],[f10531,f6642,f10479]) ).
thf(f10644,definition,
( spl0_320
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_320])],[avatar_definition]) ).
thf(f10645,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_320 ),
inference(avatar_component_clause,[],[f10644]) ).
thf(f10772,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f3583,f36]) ).
thf(f10777,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f10772]) ).
thf(f10783,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f10777,f46]) ).
thf(f10784,plain,
( spl0_186
| ~ spl0_15
| ~ spl0_1
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f10783,f3582,f45,f333,f5758]) ).
thf(f10792,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_129
| ~ spl0_186 ),
inference(constrained_superposition,[],[f4167,f5759]) ).
thf(f10802,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_129
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f10792]) ).
thf(f10807,definition,
( spl0_324
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_324])],[avatar_definition]) ).
thf(f10808,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_324 ),
inference(avatar_component_clause,[],[f10807]) ).
thf(f10810,plain,
( spl0_324
| ~ spl0_129
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f10802,f5758,f4166,f10807]) ).
thf(f10813,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_324 ),
inference(constrained_superposition,[],[f10808,f170]) ).
thf(f10819,plain,
( ! [X0: $i] :
( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f10813]) ).
thf(f10833,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_324 ),
inference(constrained_superposition,[],[f29,f10819]) ).
thf(f10848,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true ) )
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f10833]) ).
thf(f10852,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f3586,f36]) ).
thf(f10866,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f10852]) ).
thf(f10869,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f10866,f46]) ).
thf(f10870,plain,
( $false
| ~ spl0_1
| ~ spl0_26
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f10869,f3808]) ).
thf(f10871,plain,
( ~ spl0_1
| ~ spl0_26
| ~ spl0_54 ),
inference(avatar_contradiction_clause,[],[f10870]) ).
thf(f10872,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_143
| ~ spl0_261 ),
inference(constrained_superposition,[],[f4254,f9446]) ).
thf(f10898,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_143
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f10872]) ).
thf(f10902,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_143
| ~ spl0_263 ),
inference(constrained_superposition,[],[f4254,f9453]) ).
thf(f10917,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_143
| ~ spl0_263 ),
inference(trivial_inequality_removal,[],[f10902]) ).
thf(f11023,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_163
| ~ spl0_165 ),
inference(constrained_superposition,[],[f4753,f4761]) ).
thf(f11027,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_163
| ~ spl0_165 ),
inference(duplicate_literal_removal,[],[f11023]) ).
thf(f11028,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_163
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f11027]) ).
thf(f11044,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_163
| ~ spl0_165 ),
inference(constrained_superposition,[],[f11028,f74]) ).
thf(f11048,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_163
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f11044]) ).
thf(f11056,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_9
| ~ spl0_163
| ~ spl0_165 ),
inference(forward_subsumption_resolution,[],[f11048,f207]) ).
thf(f11057,plain,
( spl0_245
| ~ spl0_9
| ~ spl0_163
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f11056,f4760,f4752,f206,f9280]) ).
thf(f11082,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_165 ),
inference(constrained_superposition,[],[f6245,f37]) ).
thf(f11083,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_165 ),
inference(constrained_superposition,[],[f6245,f28]) ).
thf(f11084,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_165 ),
inference(trivial_inequality_removal,[],[f11083]) ).
thf(f11085,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_165 ),
inference(trivial_inequality_removal,[],[f11082]) ).
thf(f11087,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_57
| spl0_165 ),
inference(forward_subsumption_resolution,[],[f11084,f9297]) ).
thf(f11088,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_32
| spl0_165 ),
inference(forward_subsumption_resolution,[],[f11085,f9309]) ).
thf(f11090,plain,
( spl0_164
| spl0_57
| spl0_165 ),
inference(avatar_split_clause,[],[f11087,f4760,f3736,f4755]) ).
thf(f11091,plain,
( spl0_164
| spl0_32
| spl0_165 ),
inference(avatar_split_clause,[],[f11088,f4760,f858,f4755]) ).
thf(f11100,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_245 ),
inference(constrained_superposition,[],[f9281,f36]) ).
thf(f11108,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_245 ),
inference(trivial_inequality_removal,[],[f11100]) ).
thf(f11117,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_1
| ~ spl0_245 ),
inference(forward_subsumption_resolution,[],[f11108,f46]) ).
thf(f11118,plain,
( ~ spl0_15
| ~ spl0_1
| ~ spl0_245 ),
inference(avatar_split_clause,[],[f11117,f9280,f45,f333]) ).
thf(f11120,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_324 ),
inference(constrained_superposition,[],[f10848,f36]) ).
thf(f11137,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f11120]) ).
thf(f11140,definition,
( spl0_325
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_325])],[avatar_definition]) ).
thf(f11141,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_325 ),
inference(avatar_component_clause,[],[f11140]) ).
thf(f11144,definition,
( spl0_326
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_326])],[avatar_definition]) ).
thf(f11145,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_326 ),
inference(avatar_component_clause,[],[f11144]) ).
thf(f11156,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ X2 ) ) )
| ~ spl0_1
| ~ spl0_324 ),
inference(forward_subsumption_resolution,[],[f11137,f46]) ).
thf(f11162,definition,
( spl0_330
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_330])],[avatar_definition]) ).
thf(f11163,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_330 ),
inference(avatar_component_clause,[],[f11162]) ).
thf(f11164,plain,
( spl0_330
| spl0_279
| ~ spl0_1
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f11156,f10807,f45,f9681,f11162]) ).
thf(f11174,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_330 ),
inference(constrained_superposition,[],[f11163,f74]) ).
thf(f11179,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f11174]) ).
thf(f11185,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_26
| ~ spl0_330 ),
inference(forward_subsumption_resolution,[],[f11179,f3808]) ).
thf(f11186,plain,
( $false
| ~ spl0_9
| ~ spl0_26
| ~ spl0_330 ),
inference(forward_subsumption_resolution,[],[f11185,f207]) ).
thf(f11187,plain,
( ~ spl0_9
| ~ spl0_26
| ~ spl0_330 ),
inference(avatar_contradiction_clause,[],[f11186]) ).
thf(f11212,definition,
( spl0_336
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_336])],[avatar_definition]) ).
thf(f11213,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_336 ),
inference(avatar_component_clause,[],[f11212]) ).
thf(f11215,definition,
( spl0_337
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_337])],[avatar_definition]) ).
thf(f11216,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_337 ),
inference(avatar_component_clause,[],[f11215]) ).
thf(f11237,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_26
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f9892,f3808]) ).
thf(f11241,definition,
( spl0_343
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_343])],[avatar_definition]) ).
thf(f11242,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_343 ),
inference(avatar_component_clause,[],[f11241]) ).
thf(f11244,definition,
( spl0_344
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_344])],[avatar_definition]) ).
thf(f11245,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_344 ),
inference(avatar_component_clause,[],[f11244]) ).
thf(f11252,definition,
( spl0_346
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_346])],[avatar_definition]) ).
thf(f11253,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_346 ),
inference(avatar_component_clause,[],[f11252]) ).
thf(f11287,plain,
( ~ spl0_28
| ~ spl0_4
| ~ spl0_26
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f11237,f1563,f413,f62,f540]) ).
thf(f11289,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| spl0_8 ),
inference(constrained_superposition,[],[f122,f35]) ).
thf(f11290,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| spl0_8 ),
inference(trivial_inequality_removal,[],[f11289]) ).
thf(f11294,plain,
( ( $true != $true )
| ~ spl0_11
| ~ spl0_144 ),
inference(constrained_superposition,[],[f275,f4278]) ).
thf(f11297,plain,
( ( $true != $true )
| ~ spl0_11
| ~ spl0_164 ),
inference(constrained_superposition,[],[f275,f4756]) ).
thf(f11309,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_192 ),
inference(constrained_superposition,[],[f275,f5963]) ).
thf(f11313,plain,
( $false
| ~ spl0_11
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f11297]) ).
thf(f11314,plain,
( ~ spl0_11
| ~ spl0_164 ),
inference(avatar_contradiction_clause,[],[f11313]) ).
thf(f11327,plain,
( $false
| ~ spl0_11
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f11294]) ).
thf(f11328,plain,
( ~ spl0_11
| ~ spl0_144 ),
inference(avatar_contradiction_clause,[],[f11327]) ).
thf(f11330,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| ~ spl0_11
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f11309]) ).
thf(f11346,plain,
( ( z
= ( s @ z ) )
| ~ spl0_11
| spl0_57
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f11330,f9297]) ).
thf(f11352,plain,
( $false
| ~ spl0_11
| spl0_57
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f11346,f30]) ).
thf(f11353,plain,
( ~ spl0_11
| spl0_57
| ~ spl0_192 ),
inference(avatar_contradiction_clause,[],[f11352]) ).
thf(f11359,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f29,f541]) ).
thf(f11366,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f11359]) ).
thf(f11372,plain,
( spl0_252
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f11366,f540,f9336]) ).
thf(f11374,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_45 ),
inference(constrained_superposition,[],[f1564,f74]) ).
thf(f11376,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_45 ),
inference(constrained_superposition,[],[f1564,f28]) ).
thf(f11378,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_45 ),
inference(trivial_inequality_removal,[],[f11374]) ).
thf(f11379,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_45 ),
inference(trivial_inequality_removal,[],[f11376]) ).
thf(f11381,plain,
( spl0_72
| spl0_45 ),
inference(avatar_split_clause,[],[f11378,f1563,f3819]) ).
thf(f11382,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_32
| spl0_45 ),
inference(forward_subsumption_resolution,[],[f11379,f9309]) ).
thf(f11383,plain,
( spl0_72
| spl0_32
| spl0_45 ),
inference(avatar_split_clause,[],[f11382,f1563,f858,f3819]) ).
thf(f11396,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_38 ),
inference(constrained_superposition,[],[f109,f971]) ).
thf(f11410,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f11396]) ).
thf(f11420,plain,
( spl0_245
| ~ spl0_6
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f11410,f970,f108,f9280]) ).
thf(f11431,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_187
| ~ spl0_198 ),
inference(constrained_superposition,[],[f6132,f5969]) ).
thf(f11441,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_187
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f11431]) ).
thf(f11448,plain,
( ~ spl0_15
| ~ spl0_187
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f11441,f6131,f5761,f333]) ).
thf(f11449,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_38 ),
inference(constrained_superposition,[],[f1050,f73]) ).
thf(f11453,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_38 ),
inference(trivial_inequality_removal,[],[f11449]) ).
thf(f11455,plain,
( spl0_141
| spl0_38 ),
inference(avatar_split_clause,[],[f11453,f970,f4246]) ).
thf(f11476,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_20
| ~ spl0_141 ),
inference(constrained_superposition,[],[f356,f4247]) ).
thf(f11492,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_20
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f11476]) ).
thf(f11509,plain,
( $false
| ~ spl0_20
| ~ spl0_141
| ~ spl0_144 ),
inference(forward_subsumption_resolution,[],[f11492,f4278]) ).
thf(f11510,plain,
( ~ spl0_20
| ~ spl0_141
| ~ spl0_144 ),
inference(avatar_contradiction_clause,[],[f11509]) ).
thf(f11513,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f341,f28]) ).
thf(f11519,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f11513]) ).
thf(f11535,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f1223,f73]) ).
thf(f11540,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f11535]) ).
thf(f11587,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_153 ),
inference(constrained_superposition,[],[f4393,f170]) ).
thf(f11593,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f11587]) ).
thf(f11628,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_164
| ~ spl0_177 ),
inference(constrained_superposition,[],[f5369,f4756]) ).
thf(f11630,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_164
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f11628]) ).
thf(f11632,plain,
( $false
| ~ spl0_141
| ~ spl0_164
| ~ spl0_177 ),
inference(forward_subsumption_resolution,[],[f11630,f4247]) ).
thf(f11633,plain,
( ~ spl0_141
| ~ spl0_164
| ~ spl0_177 ),
inference(avatar_contradiction_clause,[],[f11632]) ).
thf(f11636,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_26
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f11540,f3808]) ).
thf(f11639,plain,
( spl0_141
| ~ spl0_26
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f11636,f1222,f413,f4246]) ).
thf(f11663,plain,
( ( $true != $true )
| ~ spl0_56
| ~ spl0_140 ),
inference(constrained_superposition,[],[f3704,f4235]) ).
thf(f11691,plain,
( $false
| ~ spl0_56
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f11663]) ).
thf(f11692,plain,
( ~ spl0_56
| ~ spl0_140 ),
inference(avatar_contradiction_clause,[],[f11691]) ).
thf(f11702,definition,
( spl0_357
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_357])],[avatar_definition]) ).
thf(f11703,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_357 ),
inference(avatar_component_clause,[],[f11702]) ).
thf(f11705,definition,
( spl0_358
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_358])],[avatar_definition]) ).
thf(f11706,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_358 ),
inference(avatar_component_clause,[],[f11705]) ).
thf(f11707,plain,
( ~ spl0_357
| spl0_306
| spl0_358
| ~ spl0_143
| ~ spl0_263 ),
inference(avatar_split_clause,[],[f10917,f9452,f4253,f11705,f10241,f11702]) ).
thf(f11709,definition,
( spl0_359
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_359])],[avatar_definition]) ).
thf(f11710,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_359 ),
inference(avatar_component_clause,[],[f11709]) ).
thf(f11716,definition,
( spl0_361
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_361])],[avatar_definition]) ).
thf(f11717,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_361 ),
inference(avatar_component_clause,[],[f11716]) ).
thf(f11719,definition,
( spl0_362
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_362])],[avatar_definition]) ).
thf(f11720,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_362 ),
inference(avatar_component_clause,[],[f11719]) ).
thf(f11721,plain,
( spl0_359
| spl0_361
| ~ spl0_362
| ~ spl0_143
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f10898,f9445,f4253,f11719,f11716,f11709]) ).
thf(f11862,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_362 ),
inference(constrained_superposition,[],[f11720,f37]) ).
thf(f11866,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_362 ),
inference(trivial_inequality_removal,[],[f11862]) ).
thf(f11871,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_57
| spl0_362 ),
inference(forward_subsumption_resolution,[],[f11866,f9297]) ).
thf(f11878,plain,
( spl0_306
| spl0_57
| spl0_362 ),
inference(avatar_split_clause,[],[f11871,f11719,f3736,f10241]) ).
thf(f11937,definition,
( spl0_365
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_365])],[avatar_definition]) ).
thf(f11938,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_365 ),
inference(avatar_component_clause,[],[f11937]) ).
thf(f12023,definition,
( spl0_369
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_369])],[avatar_definition]) ).
thf(f12024,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_369 ),
inference(avatar_component_clause,[],[f12023]) ).
thf(f12033,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_26
| ~ spl0_28 ),
inference(constrained_superposition,[],[f9898,f541]) ).
thf(f12043,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_26
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f12033]) ).
thf(f12053,plain,
( spl0_141
| ~ spl0_4
| ~ spl0_26
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f12043,f540,f413,f62,f4246]) ).
thf(f12075,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_276 ),
inference(constrained_superposition,[],[f27,f9670]) ).
thf(f12079,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f12075]) ).
thf(f12082,plain,
( spl0_56
| spl0_36
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f12079,f9669,f958,f3703]) ).
thf(f12141,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_231 ),
inference(constrained_superposition,[],[f7615,f73]) ).
thf(f12152,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_231 ),
inference(trivial_inequality_removal,[],[f12141]) ).
thf(f12157,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_26
| ~ spl0_231 ),
inference(forward_subsumption_resolution,[],[f12152,f3808]) ).
thf(f12158,plain,
( spl0_140
| ~ spl0_26
| ~ spl0_231 ),
inference(avatar_split_clause,[],[f12157,f7614,f413,f4234]) ).
thf(f12209,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_361 ),
inference(constrained_superposition,[],[f11717,f1594]) ).
thf(f12217,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_361 ),
inference(trivial_inequality_removal,[],[f12209]) ).
thf(f12225,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_35
| ~ spl0_361 ),
inference(forward_subsumption_resolution,[],[f12217,f956]) ).
thf(f12226,plain,
( spl0_306
| ~ spl0_35
| ~ spl0_361 ),
inference(avatar_split_clause,[],[f12225,f11716,f955,f10241]) ).
thf(f12255,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_337 ),
inference(constrained_superposition,[],[f11216,f28]) ).
thf(f12256,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_337 ),
inference(trivial_inequality_removal,[],[f12255]) ).
thf(f12257,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| spl0_336 ),
inference(constrained_superposition,[],[f11213,f28]) ).
thf(f12258,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_336 ),
inference(trivial_inequality_removal,[],[f12257]) ).
thf(f12259,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_336 ),
inference(forward_subsumption_resolution,[],[f12258,f30]) ).
thf(f12260,plain,
( spl0_344
| spl0_336 ),
inference(avatar_split_clause,[],[f12259,f11212,f11244]) ).
thf(f12274,definition,
( spl0_372
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_372])],[avatar_definition]) ).
thf(f12275,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_372 ),
inference(avatar_component_clause,[],[f12274]) ).
thf(f12284,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_36
| ~ spl0_306 ),
inference(constrained_superposition,[],[f959,f10242]) ).
thf(f12285,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_129
| ~ spl0_306 ),
inference(constrained_superposition,[],[f4167,f10242]) ).
thf(f12288,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_129
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f12285]) ).
thf(f12291,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_36
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f12284]) ).
thf(f12293,plain,
( $false
| ~ spl0_36
| ~ spl0_220
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f12291,f7547]) ).
thf(f12294,plain,
( ~ spl0_36
| ~ spl0_220
| ~ spl0_306 ),
inference(avatar_contradiction_clause,[],[f12293]) ).
thf(f12298,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_337 ),
inference(forward_subsumption_resolution,[],[f12256,f30]) ).
thf(f12300,plain,
( spl0_220
| spl0_337 ),
inference(avatar_split_clause,[],[f12298,f11215,f7546]) ).
thf(f12301,plain,
( spl0_311
| spl0_208 ),
inference(avatar_split_clause,[],[f10516,f6627,f10460]) ).
thf(f12302,plain,
( ~ spl0_208
| ~ spl0_129
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f12288,f10241,f4166,f6627]) ).
thf(f12334,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_274
| ~ spl0_277 ),
inference(constrained_superposition,[],[f9663,f9675]) ).
thf(f12342,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_274
| ~ spl0_277 ),
inference(trivial_inequality_removal,[],[f12334]) ).
thf(f12348,plain,
( $false
| ~ spl0_37
| ~ spl0_274
| ~ spl0_277 ),
inference(forward_subsumption_resolution,[],[f12342,f4192]) ).
thf(f12349,plain,
( ~ spl0_37
| ~ spl0_274
| ~ spl0_277 ),
inference(avatar_contradiction_clause,[],[f12348]) ).
thf(f12351,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_278 ),
inference(constrained_superposition,[],[f721,f9678]) ).
thf(f12373,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f12351]) ).
thf(f12408,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_282 ),
inference(constrained_superposition,[],[f9701,f28]) ).
thf(f12409,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_282 ),
inference(trivial_inequality_removal,[],[f12408]) ).
thf(f12412,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_36
| ~ spl0_359 ),
inference(constrained_superposition,[],[f959,f11710]) ).
thf(f12413,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_129
| ~ spl0_359 ),
inference(constrained_superposition,[],[f4167,f11710]) ).
thf(f12416,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_129
| ~ spl0_359 ),
inference(trivial_inequality_removal,[],[f12413]) ).
thf(f12418,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_36
| ~ spl0_359 ),
inference(trivial_inequality_removal,[],[f12412]) ).
thf(f12421,plain,
( $false
| ~ spl0_36
| ~ spl0_344
| ~ spl0_359 ),
inference(forward_subsumption_resolution,[],[f12418,f11245]) ).
thf(f12422,plain,
( ~ spl0_36
| ~ spl0_344
| ~ spl0_359 ),
inference(avatar_contradiction_clause,[],[f12421]) ).
thf(f12426,plain,
( ~ spl0_211
| ~ spl0_129
| ~ spl0_359 ),
inference(avatar_split_clause,[],[f12416,f11709,f4166,f6642]) ).
thf(f12458,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f49,f170]) ).
thf(f12487,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f12458]) ).
thf(f12510,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_260 ),
inference(constrained_superposition,[],[f49,f9443]) ).
thf(f12516,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f12510]) ).
thf(f12526,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_260
| ~ spl0_344 ),
inference(forward_subsumption_resolution,[],[f12516,f11245]) ).
thf(f12536,definition,
( spl0_374
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_374])],[avatar_definition]) ).
thf(f12537,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_374 ),
inference(avatar_component_clause,[],[f12536]) ).
thf(f12578,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f12373,f30]) ).
thf(f12589,plain,
( spl0_218
| spl0_243
| spl0_140
| ~ spl0_6
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f12578,f9677,f108,f4234,f8824,f7539]) ).
thf(f12597,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_260
| ~ spl0_344 ),
inference(constrained_superposition,[],[f721,f12526]) ).
thf(f12604,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_260
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f12597]) ).
thf(f12612,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_260
| ~ spl0_344 ),
inference(forward_subsumption_resolution,[],[f12604,f30]) ).
thf(f12615,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_260
| ~ spl0_344 ),
inference(forward_subsumption_resolution,[],[f12612,f30]) ).
thf(f12618,plain,
( spl0_218
| spl0_16
| ~ spl0_2
| ~ spl0_6
| ~ spl0_260
| ~ spl0_344 ),
inference(avatar_split_clause,[],[f12615,f11244,f9442,f108,f48,f337,f7539]) ).
thf(f12633,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_153
| ~ spl0_208 ),
inference(constrained_superposition,[],[f4393,f6628]) ).
thf(f12638,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_153
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f12633]) ).
thf(f12641,plain,
( $false
| ~ spl0_153
| ~ spl0_208
| ~ spl0_218 ),
inference(forward_subsumption_resolution,[],[f12638,f7540]) ).
thf(f12642,plain,
( ~ spl0_153
| ~ spl0_208
| ~ spl0_218 ),
inference(avatar_contradiction_clause,[],[f12641]) ).
thf(f12644,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_344 ),
inference(avatar_component_clause,[],[f11244]) ).
thf(f12645,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_337 ),
inference(avatar_component_clause,[],[f11215]) ).
thf(f12646,plain,
( ~ spl0_344
| spl0_337
| ~ spl0_2
| ~ spl0_260 ),
inference(avatar_split_clause,[],[f12516,f9442,f48,f11215,f11244]) ).
thf(f12682,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_140 ),
inference(constrained_superposition,[],[f27,f4235]) ).
thf(f12683,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f12682]) ).
thf(f12685,plain,
( spl0_177
| spl0_9
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f12683,f4234,f206,f5368]) ).
thf(f12697,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_165 ),
inference(constrained_superposition,[],[f63,f4761]) ).
thf(f12705,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f12697]) ).
thf(f12744,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_153
| ~ spl0_211 ),
inference(constrained_superposition,[],[f4393,f6643]) ).
thf(f12745,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_39
| ~ spl0_211 ),
inference(constrained_superposition,[],[f974,f6643]) ).
thf(f12749,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_153
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f12744]) ).
thf(f12751,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_39
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f12745]) ).
thf(f12753,plain,
( $false
| ~ spl0_39
| ~ spl0_211
| ~ spl0_344 ),
inference(forward_subsumption_resolution,[],[f12751,f11245]) ).
thf(f12754,plain,
( ~ spl0_39
| ~ spl0_211
| ~ spl0_344 ),
inference(avatar_contradiction_clause,[],[f12753]) ).
thf(f12817,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_261 ),
inference(constrained_superposition,[],[f721,f9446]) ).
thf(f12834,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f12817]) ).
thf(f12910,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_278
| ~ spl0_307 ),
inference(constrained_superposition,[],[f10245,f9678]) ).
thf(f12923,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_278
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f12910]) ).
thf(f12925,plain,
( ~ spl0_362
| ~ spl0_278
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f12923,f10244,f9677,f11719]) ).
thf(f12926,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_358 ),
inference(constrained_superposition,[],[f11706,f1594]) ).
thf(f12936,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_358 ),
inference(trivial_inequality_removal,[],[f12926]) ).
thf(f12942,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_35
| ~ spl0_358 ),
inference(forward_subsumption_resolution,[],[f12936,f956]) ).
thf(f12943,plain,
( spl0_359
| ~ spl0_35
| ~ spl0_358 ),
inference(avatar_split_clause,[],[f12942,f11705,f955,f11709]) ).
thf(f12945,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_369 ),
inference(constrained_superposition,[],[f12024,f36]) ).
thf(f12958,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f12945]) ).
thf(f12961,definition,
( spl0_384
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_384])],[avatar_definition]) ).
thf(f12962,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_384 ),
inference(avatar_component_clause,[],[f12961]) ).
thf(f12963,plain,
( ~ spl0_196
| spl0_384
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f12958,f12023,f12961,f6122]) ).
thf(f12983,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_311
| ~ spl0_343 ),
inference(constrained_superposition,[],[f11242,f10461]) ).
thf(f12995,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_311
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f12983]) ).
thf(f12997,plain,
( $false
| ~ spl0_28
| ~ spl0_311
| ~ spl0_343 ),
inference(forward_subsumption_resolution,[],[f12995,f541]) ).
thf(f12998,plain,
( ~ spl0_28
| ~ spl0_311
| ~ spl0_343 ),
inference(avatar_contradiction_clause,[],[f12997]) ).
thf(f13044,definition,
( spl0_385
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_385])],[avatar_definition]) ).
thf(f13045,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_385 ),
inference(avatar_component_clause,[],[f13044]) ).
thf(f13056,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_153
| ~ spl0_211
| ~ spl0_261 ),
inference(forward_subsumption_resolution,[],[f12834,f12749]) ).
thf(f13069,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_153
| ~ spl0_211
| ~ spl0_261 ),
inference(forward_subsumption_resolution,[],[f13056,f30]) ).
thf(f13072,plain,
( spl0_243
| spl0_218
| ~ spl0_6
| ~ spl0_153
| ~ spl0_211
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f13069,f9445,f6642,f4392,f108,f7539,f8824]) ).
thf(f13079,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_261 ),
inference(forward_subsumption_resolution,[],[f12834,f30]) ).
thf(f13087,plain,
( spl0_243
| spl0_239
| spl0_218
| ~ spl0_6
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f13079,f9445,f108,f7539,f8709,f8824]) ).
thf(f13261,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_303 ),
inference(constrained_superposition,[],[f10109,f35]) ).
thf(f13262,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_303 ),
inference(constrained_superposition,[],[f10109,f170]) ).
thf(f13280,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f13261]) ).
thf(f13286,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f13262]) ).
thf(f13293,plain,
( spl0_337
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f13280,f10108,f11215]) ).
thf(f13298,plain,
( spl0_311
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f13286,f10108,f10460]) ).
thf(f13419,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_6
| spl0_211 ),
inference(constrained_superposition,[],[f10462,f1639]) ).
thf(f13421,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| spl0_211 ),
inference(trivial_inequality_removal,[],[f13419]) ).
thf(f13432,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_312 ),
inference(constrained_superposition,[],[f63,f10480]) ).
thf(f13439,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_312 ),
inference(trivial_inequality_removal,[],[f13432]) ).
thf(f13467,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_261
| ~ spl0_270 ),
inference(constrained_superposition,[],[f9582,f9446]) ).
thf(f13476,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_261
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f13467]) ).
thf(f13479,definition,
( spl0_388
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_388])],[avatar_definition]) ).
thf(f13480,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_388 ),
inference(avatar_component_clause,[],[f13479]) ).
thf(f13482,plain,
( ~ spl0_357
| ~ spl0_261
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f13476,f9581,f9445,f11702]) ).
thf(f13484,plain,
( spl0_28
| spl0_29
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f12487,f48,f543,f540]) ).
thf(f13485,plain,
( ~ spl0_28
| ~ spl0_336
| ~ spl0_4
| ~ spl0_312 ),
inference(avatar_split_clause,[],[f13439,f10479,f62,f11212,f540]) ).
thf(f13489,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_203 ),
inference(constrained_superposition,[],[f6472,f37]) ).
thf(f13493,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_203 ),
inference(trivial_inequality_removal,[],[f13489]) ).
thf(f13495,definition,
( spl0_389
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_389])],[avatar_definition]) ).
thf(f13496,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_389 ),
inference(avatar_component_clause,[],[f13495]) ).
thf(f13498,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_203 ),
inference(forward_subsumption_resolution,[],[f13493,f30]) ).
thf(f13499,plain,
( spl0_389
| spl0_203 ),
inference(avatar_split_clause,[],[f13498,f6471,f13495]) ).
thf(f13515,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| spl0_344 ),
inference(constrained_superposition,[],[f12644,f35]) ).
thf(f13516,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_344 ),
inference(trivial_inequality_removal,[],[f13515]) ).
thf(f13535,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_26
| spl0_344 ),
inference(constrained_superposition,[],[f9897,f13516]) ).
thf(f13549,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_26
| spl0_344 ),
inference(trivial_inequality_removal,[],[f13535]) ).
thf(f13553,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_26
| spl0_344
| ~ spl0_372 ),
inference(constrained_superposition,[],[f12275,f13549]) ).
thf(f13566,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_26
| spl0_344
| ~ spl0_372 ),
inference(trivial_inequality_removal,[],[f13553]) ).
thf(f13569,plain,
( $false
| ~ spl0_4
| ~ spl0_26
| ~ spl0_72
| spl0_344
| ~ spl0_372 ),
inference(forward_subsumption_resolution,[],[f13566,f3820]) ).
thf(f13570,plain,
( ~ spl0_4
| ~ spl0_26
| ~ spl0_72
| spl0_344
| ~ spl0_372 ),
inference(avatar_contradiction_clause,[],[f13569]) ).
thf(f13587,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_177
| ~ spl0_359 ),
inference(constrained_superposition,[],[f5369,f11710]) ).
thf(f13592,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_359 ),
inference(constrained_superposition,[],[f27,f11710]) ).
thf(f13595,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_177
| ~ spl0_359 ),
inference(trivial_inequality_removal,[],[f13587]) ).
thf(f13597,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_359 ),
inference(trivial_inequality_removal,[],[f13592]) ).
thf(f13599,plain,
( $false
| ~ spl0_177
| ~ spl0_239
| ~ spl0_359 ),
inference(forward_subsumption_resolution,[],[f13595,f8710]) ).
thf(f13600,plain,
( ~ spl0_177
| ~ spl0_239
| ~ spl0_359 ),
inference(avatar_contradiction_clause,[],[f13599]) ).
thf(f13602,definition,
( spl0_390
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_390])],[avatar_definition]) ).
thf(f13603,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_390 ),
inference(avatar_component_clause,[],[f13602]) ).
thf(f13604,plain,
( spl0_56
| spl0_390
| ~ spl0_359 ),
inference(avatar_split_clause,[],[f13597,f11709,f13602,f3703]) ).
thf(f13818,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_261
| ~ spl0_325 ),
inference(constrained_superposition,[],[f11141,f9446]) ).
thf(f13826,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_261
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f13818]) ).
thf(f13835,plain,
( $false
| ~ spl0_261
| ~ spl0_311
| ~ spl0_325 ),
inference(forward_subsumption_resolution,[],[f13826,f10461]) ).
thf(f13836,plain,
( ~ spl0_261
| ~ spl0_311
| ~ spl0_325 ),
inference(avatar_contradiction_clause,[],[f13835]) ).
thf(f13927,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_29
| ~ spl0_220 ),
inference(constrained_superposition,[],[f544,f7547]) ).
thf(f13929,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_29
| ~ spl0_37 ),
inference(constrained_superposition,[],[f544,f4192]) ).
thf(f13931,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_29
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f13927]) ).
thf(f13932,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_29
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f13929]) ).
thf(f13935,plain,
( spl0_320
| ~ spl0_29
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f13932,f965,f543,f10644]) ).
thf(f14026,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| spl0_16 ),
inference(avatar_component_clause,[],[f337]) ).
thf(f14371,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_389 ),
inference(constrained_superposition,[],[f27,f13496]) ).
thf(f14373,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_389 ),
inference(trivial_inequality_removal,[],[f14371]) ).
thf(f14377,plain,
( spl0_56
| spl0_177
| ~ spl0_389 ),
inference(avatar_split_clause,[],[f14373,f13495,f5368,f3703]) ).
thf(f14405,definition,
( spl0_404
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_404])],[avatar_definition]) ).
thf(f14406,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_404 ),
inference(avatar_component_clause,[],[f14405]) ).
thf(f14410,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_26
| ~ spl0_187 ),
inference(constrained_superposition,[],[f9898,f5969]) ).
thf(f14411,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_26
| ~ spl0_187 ),
inference(constrained_superposition,[],[f9897,f5969]) ).
thf(f14412,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_6
| ~ spl0_187 ),
inference(constrained_superposition,[],[f720,f5969]) ).
thf(f14420,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ~ spl0_6
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f14412]) ).
thf(f14422,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_26
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f14410]) ).
thf(f14428,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_4
| ~ spl0_26
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f14411]) ).
thf(f14430,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_6
| spl0_16
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f14420,f14026]) ).
thf(f14432,plain,
( spl0_140
| ~ spl0_4
| ~ spl0_26
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f14422,f5761,f413,f62,f4234]) ).
thf(f14434,plain,
( spl0_389
| ~ spl0_4
| ~ spl0_26
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f14428,f5761,f413,f62,f13495]) ).
thf(f14436,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_6
| spl0_16
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f14430,f30]) ).
thf(f14439,plain,
( spl0_140
| ~ spl0_6
| spl0_16
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f14436,f5761,f337,f108,f4234]) ).
thf(f14441,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_140
| ~ spl0_153 ),
inference(constrained_superposition,[],[f11593,f4235]) ).
thf(f14444,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_140
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f14441]) ).
thf(f14500,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_43
| ~ spl0_165 ),
inference(constrained_superposition,[],[f1223,f4761]) ).
thf(f14508,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_43
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f14500]) ).
thf(f14510,plain,
( $false
| ~ spl0_43
| ~ spl0_165
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f14508,f5969]) ).
thf(f14511,plain,
( ~ spl0_43
| ~ spl0_165
| ~ spl0_187 ),
inference(avatar_contradiction_clause,[],[f14510]) ).
thf(f14528,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_277
| ~ spl0_346 ),
inference(constrained_superposition,[],[f11253,f9675]) ).
thf(f14535,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_277
| ~ spl0_346 ),
inference(trivial_inequality_removal,[],[f14528]) ).
thf(f14540,plain,
( $false
| ~ spl0_140
| ~ spl0_277
| ~ spl0_346 ),
inference(forward_subsumption_resolution,[],[f14535,f4235]) ).
thf(f14541,plain,
( ~ spl0_140
| ~ spl0_277
| ~ spl0_346 ),
inference(avatar_contradiction_clause,[],[f14540]) ).
thf(f14555,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_202 ),
inference(constrained_superposition,[],[f6295,f1594]) ).
thf(f14564,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f14555]) ).
thf(f14617,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_218 ),
inference(avatar_component_clause,[],[f7539]) ).
thf(f14731,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_365 ),
inference(constrained_superposition,[],[f1594,f11938]) ).
thf(f14817,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_365 ),
inference(forward_subsumption_resolution,[],[f14731,f31]) ).
thf(f14822,plain,
( $false
| ~ spl0_365 ),
inference(forward_subsumption_resolution,[],[f14817,f32]) ).
thf(f14823,plain,
~ spl0_365,
inference(avatar_contradiction_clause,[],[f14822]) ).
thf(f14824,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_68 ),
inference(avatar_component_clause,[],[f3802]) ).
thf(f14826,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_68 ),
inference(constrained_superposition,[],[f14824,f170]) ).
thf(f14827,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_6
| spl0_68 ),
inference(constrained_superposition,[],[f14824,f1639]) ).
thf(f14828,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_68 ),
inference(trivial_inequality_removal,[],[f14826]) ).
thf(f14829,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_6
| spl0_68 ),
inference(trivial_inequality_removal,[],[f14827]) ).
thf(f14928,definition,
( spl0_408
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_408])],[avatar_definition]) ).
thf(f14929,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_408 ),
inference(avatar_component_clause,[],[f14928]) ).
thf(f14936,plain,
( spl0_320
| ~ spl0_140
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f14444,f4392,f4234,f10644]) ).
thf(f14937,plain,
( spl0_320
| spl0_68 ),
inference(avatar_split_clause,[],[f14828,f3802,f10644]) ).
thf(f14949,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_320 ),
inference(constrained_superposition,[],[f63,f10645]) ).
thf(f14960,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f14949]) ).
thf(f14967,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_408 ),
inference(constrained_superposition,[],[f14929,f28]) ).
thf(f14970,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_408 ),
inference(trivial_inequality_removal,[],[f14967]) ).
thf(f14973,plain,
( spl0_388
| spl0_243
| spl0_408 ),
inference(avatar_split_clause,[],[f14970,f14928,f8824,f13479]) ).
thf(f14974,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_302
| ~ spl0_388 ),
inference(constrained_superposition,[],[f10106,f13480]) ).
thf(f14983,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_302
| ~ spl0_388 ),
inference(trivial_inequality_removal,[],[f14974]) ).
thf(f14987,plain,
( $false
| ~ spl0_302
| ~ spl0_388
| ~ spl0_389 ),
inference(forward_subsumption_resolution,[],[f14983,f13496]) ).
thf(f14988,plain,
( ~ spl0_302
| ~ spl0_388
| ~ spl0_389 ),
inference(avatar_contradiction_clause,[],[f14987]) ).
thf(f15111,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_344
| ~ spl0_404 ),
inference(constrained_superposition,[],[f14406,f13516]) ).
thf(f15114,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_344
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f15111]) ).
thf(f15116,plain,
( spl0_359
| spl0_344
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f15114,f14405,f11244,f11709]) ).
thf(f15154,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_260
| ~ spl0_302 ),
inference(constrained_superposition,[],[f10106,f9443]) ).
thf(f15161,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_260
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f15154]) ).
thf(f15331,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_202
| ~ spl0_312 ),
inference(constrained_superposition,[],[f14564,f10480]) ).
thf(f15333,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_202
| ~ spl0_311 ),
inference(constrained_superposition,[],[f14564,f10461]) ).
thf(f15339,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_202
| ~ spl0_312 ),
inference(trivial_inequality_removal,[],[f15331]) ).
thf(f15341,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_202
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f15333]) ).
thf(f15345,plain,
( $false
| ~ spl0_202
| ~ spl0_260
| ~ spl0_302
| ~ spl0_312 ),
inference(forward_subsumption_resolution,[],[f15339,f15161]) ).
thf(f15346,plain,
( ~ spl0_202
| ~ spl0_260
| ~ spl0_302
| ~ spl0_312 ),
inference(avatar_contradiction_clause,[],[f15345]) ).
thf(f15348,plain,
( spl0_306
| ~ spl0_202
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f15341,f10460,f6294,f10241]) ).
thf(f15389,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_209 ),
inference(constrained_superposition,[],[f6631,f1594]) ).
thf(f15398,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f15389]) ).
thf(f15403,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_209
| ~ spl0_320 ),
inference(forward_subsumption_resolution,[],[f15398,f10645]) ).
thf(f15404,plain,
( spl0_198
| spl0_306
| ~ spl0_209
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f15403,f10644,f6630,f10241,f6131]) ).
thf(f15442,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_252
| ~ spl0_320 ),
inference(constrained_superposition,[],[f9337,f10645]) ).
thf(f15445,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_252
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f15442]) ).
thf(f15453,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_252
| ~ spl0_278
| ~ spl0_320 ),
inference(constrained_superposition,[],[f15445,f9678]) ).
thf(f15464,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_252
| ~ spl0_278
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f15453]) ).
thf(f15467,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_252
| ~ spl0_278
| ~ spl0_311
| ~ spl0_320 ),
inference(forward_subsumption_resolution,[],[f15464,f10461]) ).
thf(f15468,plain,
( spl0_343
| ~ spl0_252
| ~ spl0_278
| ~ spl0_311
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f15467,f10644,f10460,f9677,f9336,f11241]) ).
thf(f15497,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_16
| ~ spl0_194 ),
inference(constrained_superposition,[],[f14026,f5977]) ).
thf(f15503,plain,
( ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_16
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f15497]) ).
thf(f15510,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_16
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f15503,f30]) ).
thf(f15511,plain,
( $false
| spl0_16
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f15510,f30]) ).
thf(f15512,plain,
( spl0_16
| ~ spl0_194 ),
inference(avatar_contradiction_clause,[],[f15511]) ).
thf(f15657,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_385 ),
inference(constrained_superposition,[],[f13045,f1594]) ).
thf(f15673,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_385 ),
inference(trivial_inequality_removal,[],[f15657]) ).
thf(f15683,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_278
| ~ spl0_385 ),
inference(forward_subsumption_resolution,[],[f15673,f9678]) ).
thf(f15684,plain,
( spl0_198
| spl0_359
| ~ spl0_278
| ~ spl0_385 ),
inference(avatar_split_clause,[],[f15683,f13044,f9677,f11709,f6131]) ).
thf(f15716,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_198
| ~ spl0_278 ),
inference(constrained_superposition,[],[f6132,f9678]) ).
thf(f15728,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_198
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f15716]) ).
thf(f15730,plain,
( ~ spl0_223
| ~ spl0_198
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f15728,f9677,f6131,f7561]) ).
thf(f15749,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_163
| ~ spl0_165 ),
inference(constrained_superposition,[],[f4753,f4761]) ).
thf(f15758,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_163
| ~ spl0_165 ),
inference(duplicate_literal_removal,[],[f15749]) ).
thf(f15759,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_163
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f15758]) ).
thf(f15765,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_163
| ~ spl0_165 ),
inference(constrained_superposition,[],[f15759,f36]) ).
thf(f15768,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_163
| ~ spl0_165
| ~ spl0_312 ),
inference(constrained_superposition,[],[f15759,f10480]) ).
thf(f15770,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_163
| ~ spl0_165
| ~ spl0_311 ),
inference(constrained_superposition,[],[f15759,f10461]) ).
thf(f15771,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_163
| ~ spl0_165
| ~ spl0_320 ),
inference(constrained_superposition,[],[f15759,f10645]) ).
thf(f15772,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_163
| ~ spl0_165 ),
inference(constrained_superposition,[],[f15759,f74]) ).
thf(f15773,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_163
| ~ spl0_165
| ~ spl0_312 ),
inference(trivial_inequality_removal,[],[f15768]) ).
thf(f15776,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_163
| ~ spl0_165
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f15770]) ).
thf(f15777,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_163
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f15772]) ).
thf(f15778,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_163
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f15765]) ).
thf(f15780,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_163
| ~ spl0_165
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f15771]) ).
thf(f15782,plain,
( spl0_325
| ~ spl0_163
| ~ spl0_165
| ~ spl0_312 ),
inference(avatar_split_clause,[],[f15773,f10479,f4760,f4752,f11140]) ).
thf(f15783,plain,
( spl0_326
| ~ spl0_163
| ~ spl0_165
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f15776,f10460,f4760,f4752,f11144]) ).
thf(f15784,plain,
( spl0_269
| ~ spl0_163
| ~ spl0_165
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f15780,f10644,f4760,f4752,f9578]) ).
thf(f15790,plain,
( spl0_311
| ~ spl0_29
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f13931,f7546,f543,f10460]) ).
thf(f15802,plain,
( ~ spl0_187
| ~ spl0_28
| ~ spl0_4
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f12705,f4760,f62,f540,f5761]) ).
thf(f15806,plain,
( ~ spl0_187
| ~ spl0_28
| ~ spl0_4
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f14960,f10644,f62,f540,f5761]) ).
thf(f15807,plain,
( spl0_284
| spl0_279
| ~ spl0_163
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f15778,f4760,f4752,f9681,f9710]) ).
thf(f15834,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_25
| ~ spl0_153 ),
inference(constrained_superposition,[],[f11593,f411]) ).
thf(f15844,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_25
| ~ spl0_153 ),
inference(trivial_inequality_removal,[],[f15834]) ).
thf(f15850,plain,
( spl0_122
| ~ spl0_25
| ~ spl0_153 ),
inference(avatar_split_clause,[],[f15844,f4392,f410,f4044]) ).
thf(f15851,plain,
( spl0_272
| spl0_72
| ~ spl0_163
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f15777,f4760,f4752,f3819,f9599]) ).
thf(f15920,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_45
| ~ spl0_163
| ~ spl0_165 ),
inference(constrained_superposition,[],[f15759,f4724]) ).
thf(f15939,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_45
| ~ spl0_163
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f15920]) ).
thf(f15941,plain,
( spl0_272
| ~ spl0_45
| ~ spl0_163
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f15939,f4760,f4752,f1563,f9599]) ).
thf(f15944,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_26
| ~ spl0_337 ),
inference(constrained_superposition,[],[f9897,f12645]) ).
thf(f15947,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_17
| ~ spl0_337 ),
inference(constrained_superposition,[],[f11519,f12645]) ).
thf(f15955,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_4
| ~ spl0_26
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f15944]) ).
thf(f15956,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_17
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f15947]) ).
thf(f15964,plain,
( spl0_388
| ~ spl0_4
| ~ spl0_26
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f15955,f11215,f413,f62,f13479]) ).
thf(f15967,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_223 ),
inference(constrained_superposition,[],[f7562,f28]) ).
thf(f15968,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_223 ),
inference(trivial_inequality_removal,[],[f15967]) ).
thf(f15977,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_12
| ~ spl0_388 ),
inference(constrained_superposition,[],[f278,f13480]) ).
thf(f15981,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_388 ),
inference(constrained_superposition,[],[f27,f13480]) ).
thf(f15982,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_12
| ~ spl0_388 ),
inference(trivial_inequality_removal,[],[f15977]) ).
thf(f15983,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_388 ),
inference(trivial_inequality_removal,[],[f15981]) ).
thf(f15987,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_72 ),
inference(avatar_component_clause,[],[f3819]) ).
thf(f15988,plain,
( spl0_311
| ~ spl0_72
| ~ spl0_12
| ~ spl0_388 ),
inference(avatar_split_clause,[],[f15982,f13479,f277,f3819,f10460]) ).
thf(f15989,plain,
( spl0_303
| spl0_346
| ~ spl0_388 ),
inference(avatar_split_clause,[],[f15983,f13479,f11252,f10108]) ).
thf(f16113,plain,
( spl0_218
| spl0_243
| spl0_223 ),
inference(avatar_split_clause,[],[f15968,f7561,f8824,f7539]) ).
thf(f16116,plain,
( spl0_218
| spl0_243
| ~ spl0_17
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f15956,f11215,f340,f8824,f7539]) ).
thf(f16118,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_6
| spl0_211 ),
inference(forward_subsumption_resolution,[],[f13421,f30]) ).
thf(f16131,plain,
( spl0_243
| spl0_141
| spl0_239
| ~ spl0_6
| spl0_211 ),
inference(avatar_split_clause,[],[f16118,f6642,f108,f8709,f4246,f8824]) ).
thf(f16150,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_6
| spl0_32
| spl0_68 ),
inference(forward_subsumption_resolution,[],[f14829,f9309]) ).
thf(f16160,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_6
| spl0_32
| spl0_68 ),
inference(forward_subsumption_resolution,[],[f16150,f30]) ).
thf(f16164,plain,
( spl0_140
| spl0_141
| ~ spl0_6
| spl0_32
| spl0_68 ),
inference(avatar_split_clause,[],[f16160,f3802,f858,f108,f4246,f4234]) ).
thf(f16239,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_218 ),
inference(constrained_superposition,[],[f49,f7540]) ).
thf(f16241,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f16239]) ).
thf(f16255,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_311 ),
inference(constrained_superposition,[],[f63,f10461]) ).
thf(f16259,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_4
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f16255]) ).
thf(f16286,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_272
| ~ spl0_311 ),
inference(constrained_superposition,[],[f9600,f10461]) ).
thf(f16287,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_272
| ~ spl0_320 ),
inference(constrained_superposition,[],[f9600,f10645]) ).
thf(f16291,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_272
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f16287]) ).
thf(f16292,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_272
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f16286]) ).
thf(f16297,plain,
( ~ spl0_203
| ~ spl0_272
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f16291,f10644,f9599,f6471]) ).
thf(f16298,plain,
( ~ spl0_408
| ~ spl0_272
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f16292,f10460,f9599,f14928]) ).
thf(f16310,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_140 ),
inference(avatar_component_clause,[],[f4234]) ).
thf(f16438,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_260
| ~ spl0_346 ),
inference(constrained_superposition,[],[f11253,f9443]) ).
thf(f16443,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_260 ),
inference(constrained_superposition,[],[f27,f9443]) ).
thf(f16444,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f16443]) ).
thf(f16448,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_260
| ~ spl0_346 ),
inference(trivial_inequality_removal,[],[f16438]) ).
thf(f16450,plain,
( spl0_303
| spl0_309
| ~ spl0_260 ),
inference(avatar_split_clause,[],[f16444,f9442,f10353,f10108]) ).
thf(f16451,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_239 ),
inference(avatar_component_clause,[],[f8709]) ).
thf(f16453,plain,
( ~ spl0_239
| ~ spl0_260
| ~ spl0_346 ),
inference(avatar_split_clause,[],[f16448,f11252,f9442,f8709]) ).
thf(f16498,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_326 ),
inference(constrained_superposition,[],[f11145,f1594]) ).
thf(f16508,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f16498]) ).
thf(f16516,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_177
| ~ spl0_306 ),
inference(constrained_superposition,[],[f5369,f10242]) ).
thf(f16521,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_306 ),
inference(constrained_superposition,[],[f49,f10242]) ).
thf(f16523,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_177
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f16516]) ).
thf(f16528,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f16521]) ).
thf(f16530,plain,
( $false
| ~ spl0_177
| ~ spl0_218
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f16523,f7540]) ).
thf(f16531,plain,
( ~ spl0_177
| ~ spl0_218
| ~ spl0_306 ),
inference(avatar_contradiction_clause,[],[f16530]) ).
thf(f16534,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_270 ),
inference(constrained_superposition,[],[f9582,f36]) ).
thf(f16540,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f16534]) ).
thf(f16545,plain,
( ~ spl0_199
| spl0_384
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f16540,f9581,f12961,f6239]) ).
thf(f16551,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_260
| ~ spl0_302 ),
inference(constrained_superposition,[],[f10106,f9443]) ).
thf(f16555,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_260
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f16551]) ).
thf(f16558,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_260
| ~ spl0_302 ),
inference(constrained_superposition,[],[f16555,f1639]) ).
thf(f16559,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_6
| ~ spl0_260
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f16558]) ).
thf(f16560,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| spl0_140
| ~ spl0_260
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f16559,f16310]) ).
thf(f16561,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| spl0_140
| spl0_239
| ~ spl0_260
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f16560,f16451]) ).
thf(f16562,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| spl0_140
| spl0_239
| ~ spl0_260
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f16561,f30]) ).
thf(f16563,plain,
( spl0_242
| ~ spl0_6
| spl0_140
| spl0_239
| ~ spl0_260
| ~ spl0_302 ),
inference(avatar_split_clause,[],[f16562,f10105,f9442,f8709,f4234,f108,f8821]) ).
thf(f16596,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_242 ),
inference(constrained_superposition,[],[f170,f8822]) ).
thf(f16693,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_242 ),
inference(forward_subsumption_resolution,[],[f16596,f31]) ).
thf(f16704,plain,
( $false
| ~ spl0_242 ),
inference(forward_subsumption_resolution,[],[f16693,f32]) ).
thf(f16705,plain,
~ spl0_242,
inference(avatar_contradiction_clause,[],[f16704]) ).
thf(f16716,plain,
( spl0_26
| spl0_8 ),
inference(avatar_split_clause,[],[f11290,f121,f413]) ).
thf(f16732,plain,
( ~ spl0_337
| ~ spl0_28
| ~ spl0_4
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f16259,f10460,f62,f540,f11215]) ).
thf(f16737,plain,
( spl0_187
| ~ spl0_220
| ~ spl0_2
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f16528,f10241,f48,f7546,f5761]) ).
thf(f16740,plain,
( ~ spl0_220
| spl0_26
| ~ spl0_2
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f16241,f7539,f48,f413,f7546]) ).
thf(f16750,plain,
( spl0_306
| ~ spl0_320
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f16508,f11144,f10644,f10241]) ).
thf(f16756,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f27,f338]) ).
thf(f16757,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f16756]) ).
thf(f16759,plain,
( spl0_20
| spl0_9
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f16757,f337,f206,f355]) ).
thf(f16863,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_346
| ~ spl0_384 ),
inference(constrained_superposition,[],[f11253,f12962]) ).
thf(f16866,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_384 ),
inference(constrained_superposition,[],[f27,f12962]) ).
thf(f16867,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_384 ),
inference(trivial_inequality_removal,[],[f16866]) ).
thf(f16868,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_346
| ~ spl0_384 ),
inference(trivial_inequality_removal,[],[f16863]) ).
thf(f16872,plain,
( spl0_303
| spl0_274
| ~ spl0_384 ),
inference(avatar_split_clause,[],[f16867,f12961,f9662,f10108]) ).
thf(f16873,plain,
( $false
| ~ spl0_16
| ~ spl0_346
| ~ spl0_384 ),
inference(forward_subsumption_resolution,[],[f16868,f338]) ).
thf(f16874,plain,
( ~ spl0_16
| ~ spl0_346
| ~ spl0_384 ),
inference(avatar_contradiction_clause,[],[f16873]) ).
thf(f16876,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_144 ),
inference(constrained_superposition,[],[f27,f4278]) ).
thf(f16877,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f16876]) ).
thf(f16878,plain,
( spl0_1
| spl0_39
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f16877,f4277,f973,f45]) ).
thf(f16887,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_284 ),
inference(constrained_superposition,[],[f27,f9711]) ).
thf(f16889,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f16887]) ).
thf(f16890,plain,
( spl0_39
| spl0_11
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f16889,f9710,f274,f973]) ).
thf(f16899,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_72 ),
inference(constrained_superposition,[],[f49,f3820]) ).
thf(f16900,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_72 ),
inference(constrained_superposition,[],[f27,f3820]) ).
thf(f16901,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f16899]) ).
thf(f16902,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f16900]) ).
thf(f16903,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[],[f16901,f4706]) ).
thf(f16904,plain,
( spl0_153
| spl0_11
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f16902,f3819,f274,f4392]) ).
thf(f16905,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| spl0_28
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[],[f16903,f6166]) ).
thf(f16906,plain,
( ~ spl0_2
| ~ spl0_8
| spl0_28
| ~ spl0_72 ),
inference(avatar_contradiction_clause,[],[f16905]) ).
thf(f16907,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f82,f4724]) ).
thf(f16923,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f16907]) ).
thf(f16926,plain,
( spl0_141
| spl0_75
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f16923,f1563,f3835,f4246]) ).
thf(f16953,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f27,f3803]) ).
thf(f16954,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f16953]) ).
thf(f16956,plain,
( spl0_11
| spl0_129
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f16954,f3802,f4166,f274]) ).
thf(f16968,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_164 ),
inference(constrained_superposition,[],[f27,f4756]) ).
thf(f16970,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f16968]) ).
thf(f16972,plain,
( spl0_129
| spl0_56
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f16970,f4755,f3703,f4166]) ).
thf(f16997,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_6
| ~ spl0_39 ),
inference(constrained_superposition,[],[f974,f1639]) ).
thf(f17002,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_6
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f16997]) ).
thf(f17003,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_6
| ~ spl0_20
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f17002,f356]) ).
thf(f17004,plain,
( spl0_73
| spl0_141
| ~ spl0_6
| ~ spl0_20
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f17003,f973,f355,f108,f4246,f3826]) ).
thf(f17005,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_20
| ~ spl0_239 ),
inference(constrained_superposition,[],[f356,f8710]) ).
thf(f17006,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_239 ),
inference(constrained_superposition,[],[f49,f8710]) ).
thf(f17009,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_20
| ~ spl0_239 ),
inference(trivial_inequality_removal,[],[f17005]) ).
thf(f17010,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_239 ),
inference(trivial_inequality_removal,[],[f17006]) ).
thf(f17017,plain,
( ~ spl0_344
| ~ spl0_20
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f17009,f8709,f355,f11244]) ).
thf(f17026,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_2
| spl0_26
| ~ spl0_239 ),
inference(forward_subsumption_resolution,[],[f17010,f414]) ).
thf(f17027,plain,
( ~ spl0_344
| ~ spl0_2
| spl0_26
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f17026,f8709,f413,f48,f11244]) ).
thf(f17047,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_243 ),
inference(constrained_superposition,[],[f73,f8825]) ).
thf(f17139,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_243 ),
inference(forward_subsumption_resolution,[],[f17047,f31]) ).
thf(f17166,plain,
( $false
| ~ spl0_243 ),
inference(forward_subsumption_resolution,[],[f17139,f32]) ).
thf(f17167,plain,
~ spl0_243,
inference(avatar_contradiction_clause,[],[f17166]) ).
thf(f17174,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_220 ),
inference(constrained_superposition,[],[f27,f7547]) ).
thf(f17175,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f17174]) ).
thf(f17176,plain,
( spl0_1
| spl0_274
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f17175,f7546,f9662,f45]) ).
thf(f17225,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_311 ),
inference(constrained_superposition,[],[f720,f10461]) ).
thf(f17227,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_311 ),
inference(constrained_superposition,[],[f82,f10461]) ).
thf(f17230,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_311 ),
inference(constrained_superposition,[],[f1786,f10461]) ).
thf(f17238,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f17227]) ).
thf(f17241,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f17230]) ).
thf(f17246,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f17225]) ).
thf(f17250,plain,
( spl0_209
| spl0_141
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f17238,f10460,f4246,f6630]) ).
thf(f17254,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_6
| spl0_218
| ~ spl0_311 ),
inference(forward_subsumption_resolution,[],[f17246,f14617]) ).
thf(f17258,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_6
| spl0_32
| spl0_218
| ~ spl0_311 ),
inference(forward_subsumption_resolution,[],[f17254,f9309]) ).
thf(f17261,plain,
( spl0_141
| ~ spl0_6
| spl0_32
| spl0_218
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f17258,f10460,f7539,f858,f108,f4246]) ).
thf(f17262,plain,
( spl0_369
| spl0_343
| spl0_144
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f17241,f10460,f4277,f11241,f12023]) ).
thf(f17285,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f27,f60]) ).
thf(f17290,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X2 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f17285]) ).
thf(f17311,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_37 ),
inference(constrained_superposition,[],[f27,f4192]) ).
thf(f17312,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f17311]) ).
thf(f17313,plain,
( spl0_36
| spl0_1
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f17312,f965,f45,f958]) ).
thf(f17325,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_37
| ~ spl0_73 ),
inference(constrained_superposition,[],[f3827,f4192]) ).
thf(f17326,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_37
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f17325]) ).
thf(f17328,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_37
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f17326,f30]) ).
thf(f17329,plain,
( $false
| spl0_32
| ~ spl0_37
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f17328,f9309]) ).
thf(f17330,plain,
( spl0_32
| ~ spl0_37
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[],[f17329]) ).
thf(f17334,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_165 ),
inference(constrained_superposition,[],[f1786,f4761]) ).
thf(f17344,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f17334]) ).
thf(f17362,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_5
| ~ spl0_36 ),
inference(constrained_superposition,[],[f959,f106]) ).
thf(f17365,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_5
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f17362]) ).
thf(f17366,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f17365,f4706]) ).
thf(f17367,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f17366]) ).
thf(f17368,plain,
( spl0_43
| spl0_202
| spl0_37
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f17344,f4760,f965,f6294,f1222]) ).
thf(f17399,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_320 ),
inference(constrained_superposition,[],[f1786,f10645]) ).
thf(f17404,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f17399]) ).
thf(f17419,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_278 ),
inference(constrained_superposition,[],[f3540,f9678]) ).
thf(f17434,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f17419]) ).
thf(f17437,plain,
( spl0_270
| spl0_306
| spl0_307
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f17434,f9677,f10244,f10241,f9581]) ).
thf(f17524,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_269 ),
inference(constrained_superposition,[],[f9579,f71]) ).
thf(f17532,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f17524]) ).
thf(f17539,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_56
| ~ spl0_269 ),
inference(forward_subsumption_resolution,[],[f17532,f3704]) ).
thf(f17544,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_56
| ~ spl0_269
| ~ spl0_312 ),
inference(constrained_superposition,[],[f17539,f10480]) ).
thf(f17552,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_56
| ~ spl0_269
| ~ spl0_312 ),
inference(trivial_inequality_removal,[],[f17544]) ).
thf(f17554,plain,
( spl0_58
| ~ spl0_56
| ~ spl0_269
| ~ spl0_312 ),
inference(avatar_split_clause,[],[f17552,f10479,f9578,f3703,f3739]) ).
thf(f17578,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_211 ),
inference(constrained_superposition,[],[f27,f6643]) ).
thf(f17580,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f17578]) ).
thf(f17581,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_5
| ~ spl0_274 ),
inference(constrained_superposition,[],[f9663,f106]) ).
thf(f17583,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_5
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f17581]) ).
thf(f17585,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f17583,f4706]) ).
thf(f17586,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_274 ),
inference(avatar_contradiction_clause,[],[f17585]) ).
thf(f17607,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_357 ),
inference(constrained_superposition,[],[f11703,f28]) ).
thf(f17608,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_357 ),
inference(trivial_inequality_removal,[],[f17607]) ).
thf(f17613,plain,
( spl0_365
| spl0_359
| spl0_357 ),
inference(avatar_split_clause,[],[f17608,f11702,f11709,f11937]) ).
thf(f17628,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_5
| ~ spl0_374 ),
inference(constrained_superposition,[],[f12537,f106]) ).
thf(f17630,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_5
| ~ spl0_374 ),
inference(trivial_inequality_removal,[],[f17628]) ).
thf(f17632,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_374 ),
inference(forward_subsumption_resolution,[],[f17630,f4706]) ).
thf(f17633,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_374 ),
inference(avatar_contradiction_clause,[],[f17632]) ).
thf(f17639,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_208 ),
inference(constrained_superposition,[],[f17290,f6628]) ).
thf(f17640,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_211 ),
inference(constrained_superposition,[],[f17290,f6643]) ).
thf(f17644,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f17639]) ).
thf(f17646,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f17640]) ).
thf(f17650,plain,
( spl0_274
| ~ spl0_3
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f17644,f6627,f59,f9662]) ).
thf(f17651,plain,
( spl0_374
| ~ spl0_3
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f17646,f6642,f59,f12536]) ).
thf(f17654,plain,
( $false
| ~ spl0_7
| spl0_187 ),
inference(forward_subsumption_resolution,[],[f5762,f119]) ).
thf(f17655,plain,
( ~ spl0_7
| spl0_187 ),
inference(avatar_contradiction_clause,[],[f17654]) ).
thf(f17659,plain,
( $false
| ~ spl0_7
| spl0_337 ),
inference(forward_subsumption_resolution,[],[f11216,f119]) ).
thf(f17660,plain,
( ~ spl0_7
| spl0_337 ),
inference(avatar_contradiction_clause,[],[f17659]) ).
thf(f17663,plain,
( spl0_372
| spl0_11
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f17580,f6642,f274,f12274]) ).
thf(f17665,plain,
( spl0_144
| spl0_231
| spl0_202
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f17404,f10644,f6294,f7614,f4277]) ).
thf(f17672,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_141 ),
inference(constrained_superposition,[],[f27,f4247]) ).
thf(f17673,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f17672]) ).
thf(f17674,plain,
( spl0_153
| spl0_9
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f17673,f4246,f206,f4392]) ).
thf(f17690,plain,
( ( $true != $true )
| ~ spl0_11
| ~ spl0_141 ),
inference(constrained_superposition,[],[f275,f4247]) ).
thf(f17692,plain,
( $false
| ~ spl0_11
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f17690]) ).
thf(f17693,plain,
( ~ spl0_11
| ~ spl0_141 ),
inference(avatar_contradiction_clause,[],[f17692]) ).
thf(f17706,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_1
| ~ spl0_282 ),
inference(forward_subsumption_resolution,[],[f12409,f46]) ).
thf(f17748,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f63,f1594]) ).
thf(f17756,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f17748]) ).
thf(f17773,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_277 ),
inference(constrained_superposition,[],[f27,f9675]) ).
thf(f17774,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_277 ),
inference(trivial_inequality_removal,[],[f17773]) ).
thf(f17775,plain,
( spl0_303
| spl0_302
| ~ spl0_277 ),
inference(avatar_split_clause,[],[f17774,f9674,f10105,f10108]) ).
thf(f17776,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_306 ),
inference(constrained_superposition,[],[f27,f10242]) ).
thf(f17777,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f17776]) ).
thf(f17778,plain,
( spl0_302
| spl0_56
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f17777,f10241,f3703,f10105]) ).
thf(f17794,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_261 ),
inference(constrained_superposition,[],[f82,f9446]) ).
thf(f17800,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_261 ),
inference(constrained_superposition,[],[f63,f9446]) ).
thf(f17803,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f17794]) ).
thf(f17807,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f17800]) ).
thf(f17829,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_262
| ~ spl0_372 ),
inference(constrained_superposition,[],[f12275,f9450]) ).
thf(f17830,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_372 ),
inference(constrained_superposition,[],[f12275,f106]) ).
thf(f17831,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_372 ),
inference(trivial_inequality_removal,[],[f17830]) ).
thf(f17832,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_262
| ~ spl0_372 ),
inference(trivial_inequality_removal,[],[f17829]) ).
thf(f17833,plain,
( $false
| ~ spl0_5
| ~ spl0_372 ),
inference(forward_subsumption_resolution,[],[f17831,f106]) ).
thf(f17834,plain,
( ~ spl0_5
| ~ spl0_372 ),
inference(avatar_contradiction_clause,[],[f17833]) ).
thf(f17835,plain,
( $false
| ~ spl0_208
| ~ spl0_262
| ~ spl0_372 ),
inference(forward_subsumption_resolution,[],[f17832,f6628]) ).
thf(f17836,plain,
( ~ spl0_208
| ~ spl0_262
| ~ spl0_372 ),
inference(avatar_contradiction_clause,[],[f17835]) ).
thf(f17839,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_5
| ~ spl0_302 ),
inference(constrained_superposition,[],[f10106,f106]) ).
thf(f17840,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_5
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f17839]) ).
thf(f17843,plain,
( $false
| ~ spl0_5
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f17840,f106]) ).
thf(f17844,plain,
( ~ spl0_5
| ~ spl0_302 ),
inference(avatar_contradiction_clause,[],[f17843]) ).
thf(f17848,plain,
( $false
| ~ spl0_5
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f15987,f106]) ).
thf(f17849,plain,
( ~ spl0_5
| spl0_72 ),
inference(avatar_contradiction_clause,[],[f17848]) ).
thf(f17850,plain,
( ~ spl0_187
| spl0_404
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f17756,f62,f14405,f5761]) ).
thf(f17851,plain,
( ~ spl0_336
| ~ spl0_337
| ~ spl0_4
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f17807,f9445,f62,f11215,f11212]) ).
thf(f17852,plain,
( spl0_218
| spl0_385
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f17803,f9445,f13044,f7539]) ).
thf(f17862,plain,
( $false
| ~ spl0_7
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f6166,f119]) ).
thf(f17863,plain,
( ~ spl0_7
| spl0_28 ),
inference(avatar_contradiction_clause,[],[f17862]) ).
thf(f17903,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_218 ),
inference(constrained_superposition,[],[f27,f7540]) ).
thf(f17904,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f17903]) ).
thf(f17905,plain,
( spl0_346
| spl0_9
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f17904,f7539,f206,f11252]) ).
thf(f17994,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_278 ),
inference(constrained_superposition,[],[f63,f9678]) ).
thf(f18001,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f17994]) ).
thf(f18007,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_187
| ~ spl0_278 ),
inference(forward_subsumption_resolution,[],[f18001,f5969]) ).
thf(f18008,plain,
( ~ spl0_337
| ~ spl0_4
| ~ spl0_187
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f18007,f9677,f5761,f62,f11215]) ).
thf(f18033,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_129 ),
inference(constrained_superposition,[],[f4167,f106]) ).
thf(f18037,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_129 ),
inference(trivial_inequality_removal,[],[f18033]) ).
thf(f18040,plain,
( $false
| ~ spl0_5
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[],[f18037,f106]) ).
thf(f18041,plain,
( ~ spl0_5
| ~ spl0_129 ),
inference(avatar_contradiction_clause,[],[f18040]) ).
thf(f18124,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_5
| ~ spl0_390 ),
inference(constrained_superposition,[],[f13603,f106]) ).
thf(f18126,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_5
| ~ spl0_390 ),
inference(trivial_inequality_removal,[],[f18124]) ).
thf(f18129,plain,
( $false
| ~ spl0_5
| ~ spl0_390 ),
inference(forward_subsumption_resolution,[],[f18126,f106]) ).
thf(f18130,plain,
( ~ spl0_5
| ~ spl0_390 ),
inference(avatar_contradiction_clause,[],[f18129]) ).
thf(f18189,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_5
| ~ spl0_309 ),
inference(constrained_superposition,[],[f10354,f106]) ).
thf(f18190,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_5
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f18189]) ).
thf(f18192,plain,
( $false
| ~ spl0_5
| ~ spl0_309 ),
inference(forward_subsumption_resolution,[],[f18190,f106]) ).
thf(f18193,plain,
( ~ spl0_5
| ~ spl0_309 ),
inference(avatar_contradiction_clause,[],[f18192]) ).
thf(f18226,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_1
| spl0_140
| ~ spl0_282 ),
inference(constrained_superposition,[],[f16310,f17706]) ).
thf(f18233,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| spl0_140
| ~ spl0_282 ),
inference(trivial_inequality_removal,[],[f18226]) ).
thf(f18243,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| spl0_140
| ~ spl0_282 ),
inference(forward_subsumption_resolution,[],[f18233,f30]) ).
thf(f18247,plain,
( spl0_58
| ~ spl0_1
| spl0_140
| ~ spl0_282 ),
inference(avatar_split_clause,[],[f18243,f9700,f4234,f45,f3739]) ).
thf(f18578,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_5
| ~ spl0_12 ),
inference(constrained_superposition,[],[f278,f106]) ).
thf(f18580,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_5
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f18578]) ).
thf(f18584,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_5
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f18580,f106]) ).
thf(f18585,plain,
( spl0_122
| ~ spl0_5
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f18584,f277,f105,f4044]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f50]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f64]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f110]) ).
cnf(s4,plain,
( ~ spl0_2
| ~ spl0_5
| spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f123]) ).
cnf(s5,plain,
( ~ spl0_3
| ~ spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f137]) ).
cnf(s7,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f279]) ).
cnf(s9,plain,
( ~ spl0_3
| ~ spl0_5
| spl0_8
| ~ spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f328]) ).
cnf(s19,plain,
( spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f387]) ).
cnf(s22,plain,
( spl0_1
| spl0_20
| spl0_26 ),
inference(sat_conversion,[],[f422]) ).
cnf(s24,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_11 ),
inference(sat_conversion,[],[f475]) ).
cnf(s32,plain,
( ~ spl0_9
| spl0_26 ),
inference(sat_conversion,[],[f552]) ).
cnf(s33,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_28 ),
inference(sat_conversion,[],[f587]) ).
cnf(s35,plain,
( ~ spl0_11
| spl0_28 ),
inference(sat_conversion,[],[f592]) ).
cnf(s47,plain,
~ spl0_32,
inference(sat_conversion,[],[f982]) ).
cnf(s58,plain,
( ~ spl0_11
| spl0_38 ),
inference(sat_conversion,[],[f1145]) ).
cnf(s64,plain,
( ~ spl0_9
| spl0_32
| spl0_45 ),
inference(sat_conversion,[],[f1581]) ).
cnf(s72,plain,
( ~ spl0_9
| spl0_53
| spl0_54 ),
inference(sat_conversion,[],[f3587]) ).
cnf(s74,plain,
( ~ spl0_11
| ~ spl0_38
| ~ spl0_53
| spl0_55
| spl0_56 ),
inference(sat_conversion,[],[f3705]) ).
cnf(s101,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_11
| spl0_26
| ~ spl0_38
| spl0_73 ),
inference(sat_conversion,[],[f3828]) ).
cnf(s102,plain,
( ~ spl0_28
| spl0_72
| spl0_74 ),
inference(sat_conversion,[],[f3833]) ).
cnf(s142,plain,
( ~ spl0_6
| spl0_9
| ~ spl0_11
| ~ spl0_38
| spl0_111 ),
inference(sat_conversion,[],[f3997]) ).
cnf(s172,plain,
( ~ spl0_3
| ~ spl0_13 ),
inference(sat_conversion,[],[f4154]) ).
cnf(s184,plain,
( ~ spl0_3
| spl0_36
| ~ spl0_68 ),
inference(sat_conversion,[],[f4209]) ).
cnf(s199,plain,
( spl0_140
| spl0_143 ),
inference(sat_conversion,[],[f4255]) ).
cnf(s273,plain,
( spl0_29
| ~ spl0_39 ),
inference(sat_conversion,[],[f4423]) ).
cnf(s276,plain,
( ~ spl0_3
| ~ spl0_153 ),
inference(sat_conversion,[],[f4438]) ).
cnf(s320,plain,
( ~ spl0_3
| ~ spl0_111 ),
inference(sat_conversion,[],[f4809]) ).
cnf(s381,plain,
~ spl0_58,
inference(sat_conversion,[],[f5346]) ).
cnf(s395,plain,
( ~ spl0_20
| ~ spl0_37
| ~ spl0_140 ),
inference(sat_conversion,[],[f5372]) ).
cnf(s408,plain,
( ~ spl0_6
| ~ spl0_29
| spl0_32
| ~ spl0_37
| spl0_140
| spl0_141 ),
inference(sat_conversion,[],[f5478]) ).
cnf(s411,plain,
( ~ spl0_3
| ~ spl0_177 ),
inference(sat_conversion,[],[f5513]) ).
cnf(s417,plain,
( ~ spl0_3
| ~ spl0_12
| spl0_122 ),
inference(sat_conversion,[],[f5566]) ).
cnf(s438,plain,
( ~ spl0_9
| ~ spl0_28
| ~ spl0_74
| ~ spl0_122 ),
inference(sat_conversion,[],[f5756]) ).
cnf(s445,plain,
( ~ spl0_9
| ~ spl0_38
| ~ spl0_75
| ~ spl0_122 ),
inference(sat_conversion,[],[f5844]) ).
cnf(s446,plain,
( ~ spl0_9
| ~ spl0_54
| spl0_186 ),
inference(sat_conversion,[],[f5866]) ).
cnf(s476,plain,
( ~ spl0_3
| ~ spl0_55 ),
inference(sat_conversion,[],[f6009]) ).
cnf(s481,plain,
( ~ spl0_56
| spl0_187 ),
inference(sat_conversion,[],[f6058]) ).
cnf(s483,plain,
( ~ spl0_6
| ~ spl0_56
| spl0_194 ),
inference(sat_conversion,[],[f6068]) ).
cnf(s488,plain,
( ~ spl0_6
| ~ spl0_56
| spl0_192 ),
inference(sat_conversion,[],[f6073]) ).
cnf(s495,plain,
( spl0_28
| spl0_144 ),
inference(sat_conversion,[],[f6172]) ).
cnf(s510,plain,
( ~ spl0_36
| ~ spl0_144
| ~ spl0_164 ),
inference(sat_conversion,[],[f6367]) ).
cnf(s517,plain,
( ~ spl0_2
| ~ spl0_144
| ~ spl0_164
| spl0_187 ),
inference(sat_conversion,[],[f6382]) ).
cnf(s557,plain,
~ spl0_57,
inference(sat_conversion,[],[f6654]) ).
cnf(s562,plain,
( spl0_37
| spl0_187 ),
inference(sat_conversion,[],[f6661]) ).
cnf(s564,plain,
( spl0_35
| spl0_140 ),
inference(sat_conversion,[],[f6682]) ).
cnf(s586,plain,
( ~ spl0_3
| ~ spl0_129 ),
inference(sat_conversion,[],[f6832]) ).
cnf(s825,plain,
( spl0_57
| spl0_262
| spl0_263 ),
inference(sat_conversion,[],[f9475]) ).
cnf(s826,plain,
( spl0_57
| spl0_260
| spl0_261 ),
inference(sat_conversion,[],[f9477]) ).
cnf(s831,plain,
( ~ spl0_30
| spl0_32
| ~ spl0_35
| ~ spl0_56 ),
inference(sat_conversion,[],[f9568]) ).
cnf(s833,plain,
( spl0_32
| ~ spl0_56
| ~ spl0_122
| spl0_269
| spl0_270 ),
inference(sat_conversion,[],[f9583]) ).
cnf(s841,plain,
( ~ spl0_9
| spl0_30
| ~ spl0_122
| spl0_272 ),
inference(sat_conversion,[],[f9601]) ).
cnf(s845,plain,
( ~ spl0_9
| ~ spl0_122
| ~ spl0_272 ),
inference(sat_conversion,[],[f9655]) ).
cnf(s854,plain,
( ~ spl0_6
| spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f9692]) ).
cnf(s855,plain,
( spl0_57
| spl0_277
| spl0_278 ),
inference(sat_conversion,[],[f9696]) ).
cnf(s856,plain,
( ~ spl0_6
| spl0_16
| spl0_282 ),
inference(sat_conversion,[],[f9702]) ).
cnf(s862,plain,
( spl0_199
| spl0_276 ),
inference(sat_conversion,[],[f9722]) ).
cnf(s863,plain,
( spl0_55
| spl0_56
| ~ spl0_186 ),
inference(sat_conversion,[],[f9725]) ).
cnf(s877,plain,
( spl0_196
| spl0_284 ),
inference(sat_conversion,[],[f9772]) ).
cnf(s890,plain,
( ~ spl0_1
| ~ spl0_194 ),
inference(sat_conversion,[],[f9804]) ).
cnf(s898,plain,
( ~ spl0_1
| ~ spl0_16 ),
inference(sat_conversion,[],[f9918]) ).
cnf(s900,plain,
( ~ spl0_1
| ~ spl0_284 ),
inference(sat_conversion,[],[f9929]) ).
cnf(s901,plain,
( ~ spl0_1
| spl0_196 ),
inference(sat_conversion,[],[f9934]) ).
cnf(s904,plain,
( ~ spl0_1
| ~ spl0_276 ),
inference(sat_conversion,[],[f9940]) ).
cnf(s909,plain,
( ~ spl0_1
| ~ spl0_122
| ~ spl0_279 ),
inference(sat_conversion,[],[f9947]) ).
cnf(s911,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_15
| spl0_25 ),
inference(sat_conversion,[],[f9950]) ).
cnf(s912,plain,
( ~ spl0_9
| ~ spl0_15
| ~ spl0_279 ),
inference(sat_conversion,[],[f9951]) ).
cnf(s914,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_26
| spl0_234 ),
inference(sat_conversion,[],[f9958]) ).
cnf(s920,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_26
| ~ spl0_187 ),
inference(sat_conversion,[],[f10011]) ).
cnf(s925,plain,
( spl0_57
| spl0_163
| spl0_164 ),
inference(sat_conversion,[],[f10023]) ).
cnf(s927,plain,
( ~ spl0_29
| spl0_122
| ~ spl0_234 ),
inference(sat_conversion,[],[f10033]) ).
cnf(s964,plain,
( ~ spl0_1
| ~ spl0_199
| ~ spl0_270 ),
inference(sat_conversion,[],[f10458]) ).
cnf(s965,plain,
( ~ spl0_12
| ~ spl0_211
| ~ spl0_260
| spl0_311 ),
inference(sat_conversion,[],[f10463]) ).
cnf(s967,plain,
( ~ spl0_12
| ~ spl0_68
| ~ spl0_277
| spl0_311 ),
inference(sat_conversion,[],[f10477]) ).
cnf(s969,plain,
( spl0_211
| spl0_312 ),
inference(sat_conversion,[],[f10533]) ).
cnf(s986,plain,
( ~ spl0_1
| ~ spl0_15
| ~ spl0_53
| spl0_186 ),
inference(sat_conversion,[],[f10784]) ).
cnf(s993,plain,
( ~ spl0_129
| ~ spl0_186
| spl0_324 ),
inference(sat_conversion,[],[f10810]) ).
cnf(s996,plain,
( ~ spl0_1
| ~ spl0_26
| ~ spl0_54 ),
inference(sat_conversion,[],[f10871]) ).
cnf(s1001,plain,
( ~ spl0_9
| ~ spl0_163
| ~ spl0_165
| spl0_245 ),
inference(sat_conversion,[],[f11057]) ).
cnf(s1004,plain,
( spl0_57
| spl0_164
| spl0_165 ),
inference(sat_conversion,[],[f11090]) ).
cnf(s1005,plain,
( spl0_32
| spl0_164
| spl0_165 ),
inference(sat_conversion,[],[f11091]) ).
cnf(s1007,plain,
( ~ spl0_1
| ~ spl0_15
| ~ spl0_245 ),
inference(sat_conversion,[],[f11118]) ).
cnf(s1013,plain,
( ~ spl0_1
| spl0_279
| ~ spl0_324
| spl0_330 ),
inference(sat_conversion,[],[f11164]) ).
cnf(s1014,plain,
( ~ spl0_9
| ~ spl0_26
| ~ spl0_330 ),
inference(sat_conversion,[],[f11187]) ).
cnf(s1044,plain,
( ~ spl0_4
| ~ spl0_26
| ~ spl0_28
| ~ spl0_45 ),
inference(sat_conversion,[],[f11287]) ).
cnf(s1047,plain,
( ~ spl0_11
| ~ spl0_164 ),
inference(sat_conversion,[],[f11314]) ).
cnf(s1048,plain,
( ~ spl0_11
| ~ spl0_144 ),
inference(sat_conversion,[],[f11328]) ).
cnf(s1058,plain,
( ~ spl0_11
| spl0_57
| ~ spl0_192 ),
inference(sat_conversion,[],[f11353]) ).
cnf(s1061,plain,
( ~ spl0_28
| spl0_252 ),
inference(sat_conversion,[],[f11372]) ).
cnf(s1063,plain,
( spl0_45
| spl0_72 ),
inference(sat_conversion,[],[f11381]) ).
cnf(s1065,plain,
( spl0_32
| spl0_45
| spl0_72 ),
inference(sat_conversion,[],[f11383]) ).
cnf(s1069,plain,
( ~ spl0_6
| ~ spl0_38
| spl0_245 ),
inference(sat_conversion,[],[f11420]) ).
cnf(s1076,plain,
( ~ spl0_15
| ~ spl0_187
| ~ spl0_198 ),
inference(sat_conversion,[],[f11448]) ).
cnf(s1077,plain,
( spl0_38
| spl0_141 ),
inference(sat_conversion,[],[f11455]) ).
cnf(s1084,plain,
( ~ spl0_20
| ~ spl0_141
| ~ spl0_144 ),
inference(sat_conversion,[],[f11510]) ).
cnf(s1103,plain,
( ~ spl0_141
| ~ spl0_164
| ~ spl0_177 ),
inference(sat_conversion,[],[f11633]) ).
cnf(s1107,plain,
( ~ spl0_26
| ~ spl0_43
| spl0_141 ),
inference(sat_conversion,[],[f11639]) ).
cnf(s1112,plain,
( ~ spl0_56
| ~ spl0_140 ),
inference(sat_conversion,[],[f11692]) ).
cnf(s1121,plain,
( ~ spl0_143
| ~ spl0_263
| spl0_306
| ~ spl0_357
| spl0_358 ),
inference(sat_conversion,[],[f11707]) ).
cnf(s1123,plain,
( ~ spl0_143
| ~ spl0_261
| spl0_359
| spl0_361
| ~ spl0_362 ),
inference(sat_conversion,[],[f11721]) ).
cnf(s1143,plain,
( spl0_57
| spl0_306
| spl0_362 ),
inference(sat_conversion,[],[f11878]) ).
cnf(s1169,plain,
( ~ spl0_4
| ~ spl0_26
| ~ spl0_28
| spl0_141 ),
inference(sat_conversion,[],[f12053]) ).
cnf(s1178,plain,
( spl0_36
| spl0_56
| ~ spl0_276 ),
inference(sat_conversion,[],[f12082]) ).
cnf(s1185,plain,
( ~ spl0_26
| spl0_140
| ~ spl0_231 ),
inference(sat_conversion,[],[f12158]) ).
cnf(s1190,plain,
( ~ spl0_35
| spl0_306
| ~ spl0_361 ),
inference(sat_conversion,[],[f12226]) ).
cnf(s1196,plain,
( spl0_336
| spl0_344 ),
inference(sat_conversion,[],[f12260]) ).
cnf(s1201,plain,
( ~ spl0_36
| ~ spl0_220
| ~ spl0_306 ),
inference(sat_conversion,[],[f12294]) ).
cnf(s1205,plain,
( spl0_220
| spl0_337 ),
inference(sat_conversion,[],[f12300]) ).
cnf(s1206,plain,
( spl0_208
| spl0_311 ),
inference(sat_conversion,[],[f12301]) ).
cnf(s1207,plain,
( ~ spl0_129
| ~ spl0_208
| ~ spl0_306 ),
inference(sat_conversion,[],[f12302]) ).
cnf(s1210,plain,
( ~ spl0_37
| ~ spl0_274
| ~ spl0_277 ),
inference(sat_conversion,[],[f12349]) ).
cnf(s1215,plain,
( ~ spl0_36
| ~ spl0_344
| ~ spl0_359 ),
inference(sat_conversion,[],[f12422]) ).
cnf(s1217,plain,
( ~ spl0_129
| ~ spl0_211
| ~ spl0_359 ),
inference(sat_conversion,[],[f12426]) ).
cnf(s1252,plain,
( ~ spl0_6
| spl0_140
| spl0_218
| spl0_243
| ~ spl0_278 ),
inference(sat_conversion,[],[f12589]) ).
cnf(s1260,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_16
| spl0_218
| ~ spl0_260
| ~ spl0_344 ),
inference(sat_conversion,[],[f12618]) ).
cnf(s1263,plain,
( ~ spl0_153
| ~ spl0_208
| ~ spl0_218 ),
inference(sat_conversion,[],[f12642]) ).
cnf(s1265,plain,
( ~ spl0_2
| ~ spl0_260
| spl0_337
| ~ spl0_344 ),
inference(sat_conversion,[],[f12646]) ).
cnf(s1271,plain,
( spl0_9
| ~ spl0_140
| spl0_177 ),
inference(sat_conversion,[],[f12685]) ).
cnf(s1276,plain,
( ~ spl0_39
| ~ spl0_211
| ~ spl0_344 ),
inference(sat_conversion,[],[f12754]) ).
cnf(s1291,plain,
( ~ spl0_278
| ~ spl0_307
| ~ spl0_362 ),
inference(sat_conversion,[],[f12925]) ).
cnf(s1292,plain,
( ~ spl0_35
| ~ spl0_358
| spl0_359 ),
inference(sat_conversion,[],[f12943]) ).
cnf(s1293,plain,
( ~ spl0_196
| ~ spl0_369
| spl0_384 ),
inference(sat_conversion,[],[f12963]) ).
cnf(s1296,plain,
( ~ spl0_28
| ~ spl0_311
| ~ spl0_343 ),
inference(sat_conversion,[],[f12998]) ).
cnf(s1315,plain,
( ~ spl0_6
| ~ spl0_153
| ~ spl0_211
| spl0_218
| spl0_243
| ~ spl0_261 ),
inference(sat_conversion,[],[f13072]) ).
cnf(s1325,plain,
( ~ spl0_6
| spl0_218
| spl0_239
| spl0_243
| ~ spl0_261 ),
inference(sat_conversion,[],[f13087]) ).
cnf(s1356,plain,
( ~ spl0_303
| spl0_337 ),
inference(sat_conversion,[],[f13293]) ).
cnf(s1358,plain,
( ~ spl0_303
| spl0_311 ),
inference(sat_conversion,[],[f13298]) ).
cnf(s1373,plain,
( ~ spl0_261
| ~ spl0_270
| ~ spl0_357 ),
inference(sat_conversion,[],[f13482]) ).
cnf(s1375,plain,
( ~ spl0_2
| spl0_28
| spl0_29 ),
inference(sat_conversion,[],[f13484]) ).
cnf(s1376,plain,
( ~ spl0_4
| ~ spl0_28
| ~ spl0_312
| ~ spl0_336 ),
inference(sat_conversion,[],[f13485]) ).
cnf(s1378,plain,
( spl0_203
| spl0_389 ),
inference(sat_conversion,[],[f13499]) ).
cnf(s1382,plain,
( ~ spl0_4
| ~ spl0_26
| ~ spl0_72
| spl0_344
| ~ spl0_372 ),
inference(sat_conversion,[],[f13570]) ).
cnf(s1389,plain,
( ~ spl0_177
| ~ spl0_239
| ~ spl0_359 ),
inference(sat_conversion,[],[f13600]) ).
cnf(s1390,plain,
( spl0_56
| ~ spl0_359
| spl0_390 ),
inference(sat_conversion,[],[f13604]) ).
cnf(s1421,plain,
( ~ spl0_261
| ~ spl0_311
| ~ spl0_325 ),
inference(sat_conversion,[],[f13836]) ).
cnf(s1428,plain,
( ~ spl0_29
| ~ spl0_37
| spl0_320 ),
inference(sat_conversion,[],[f13935]) ).
cnf(s1483,plain,
( spl0_56
| spl0_177
| ~ spl0_389 ),
inference(sat_conversion,[],[f14377]) ).
cnf(s1491,plain,
( ~ spl0_4
| ~ spl0_26
| spl0_140
| ~ spl0_187 ),
inference(sat_conversion,[],[f14432]) ).
cnf(s1492,plain,
( ~ spl0_4
| ~ spl0_26
| ~ spl0_187
| spl0_389 ),
inference(sat_conversion,[],[f14434]) ).
cnf(s1494,plain,
( ~ spl0_6
| spl0_16
| spl0_140
| ~ spl0_187 ),
inference(sat_conversion,[],[f14439]) ).
cnf(s1500,plain,
( ~ spl0_43
| ~ spl0_165
| ~ spl0_187 ),
inference(sat_conversion,[],[f14511]) ).
cnf(s1503,plain,
( ~ spl0_140
| ~ spl0_277
| ~ spl0_346 ),
inference(sat_conversion,[],[f14541]) ).
cnf(s1527,plain,
~ spl0_365,
inference(sat_conversion,[],[f14823]) ).
cnf(s1537,plain,
( ~ spl0_140
| ~ spl0_153
| spl0_320 ),
inference(sat_conversion,[],[f14936]) ).
cnf(s1538,plain,
( spl0_68
| spl0_320 ),
inference(sat_conversion,[],[f14937]) ).
cnf(s1542,plain,
( spl0_243
| spl0_388
| spl0_408 ),
inference(sat_conversion,[],[f14973]) ).
cnf(s1545,plain,
( ~ spl0_302
| ~ spl0_388
| ~ spl0_389 ),
inference(sat_conversion,[],[f14988]) ).
cnf(s1554,plain,
( spl0_344
| spl0_359
| ~ spl0_404 ),
inference(sat_conversion,[],[f15116]) ).
cnf(s1566,plain,
( ~ spl0_202
| ~ spl0_260
| ~ spl0_302
| ~ spl0_312 ),
inference(sat_conversion,[],[f15346]) ).
cnf(s1568,plain,
( ~ spl0_202
| spl0_306
| ~ spl0_311 ),
inference(sat_conversion,[],[f15348]) ).
cnf(s1570,plain,
( spl0_198
| ~ spl0_209
| spl0_306
| ~ spl0_320 ),
inference(sat_conversion,[],[f15404]) ).
cnf(s1574,plain,
( ~ spl0_252
| ~ spl0_278
| ~ spl0_311
| ~ spl0_320
| spl0_343 ),
inference(sat_conversion,[],[f15468]) ).
cnf(s1580,plain,
( spl0_16
| ~ spl0_194 ),
inference(sat_conversion,[],[f15512]) ).
cnf(s1602,plain,
( spl0_198
| ~ spl0_278
| spl0_359
| ~ spl0_385 ),
inference(sat_conversion,[],[f15684]) ).
cnf(s1609,plain,
( ~ spl0_198
| ~ spl0_223
| ~ spl0_278 ),
inference(sat_conversion,[],[f15730]) ).
cnf(s1615,plain,
( ~ spl0_163
| ~ spl0_165
| ~ spl0_312
| spl0_325 ),
inference(sat_conversion,[],[f15782]) ).
cnf(s1616,plain,
( ~ spl0_163
| ~ spl0_165
| ~ spl0_311
| spl0_326 ),
inference(sat_conversion,[],[f15783]) ).
cnf(s1617,plain,
( ~ spl0_163
| ~ spl0_165
| spl0_269
| ~ spl0_320 ),
inference(sat_conversion,[],[f15784]) ).
cnf(s1620,plain,
( ~ spl0_29
| ~ spl0_220
| spl0_311 ),
inference(sat_conversion,[],[f15790]) ).
cnf(s1626,plain,
( ~ spl0_4
| ~ spl0_28
| ~ spl0_165
| ~ spl0_187 ),
inference(sat_conversion,[],[f15802]) ).
cnf(s1629,plain,
( ~ spl0_4
| ~ spl0_28
| ~ spl0_187
| ~ spl0_320 ),
inference(sat_conversion,[],[f15806]) ).
cnf(s1630,plain,
( ~ spl0_163
| ~ spl0_165
| spl0_279
| spl0_284 ),
inference(sat_conversion,[],[f15807]) ).
cnf(s1635,plain,
( ~ spl0_25
| spl0_122
| ~ spl0_153 ),
inference(sat_conversion,[],[f15850]) ).
cnf(s1636,plain,
( spl0_72
| ~ spl0_163
| ~ spl0_165
| spl0_272 ),
inference(sat_conversion,[],[f15851]) ).
cnf(s1644,plain,
( ~ spl0_45
| ~ spl0_163
| ~ spl0_165
| spl0_272 ),
inference(sat_conversion,[],[f15941]) ).
cnf(s1646,plain,
( ~ spl0_4
| ~ spl0_26
| ~ spl0_337
| spl0_388 ),
inference(sat_conversion,[],[f15964]) ).
cnf(s1649,plain,
( ~ spl0_12
| ~ spl0_72
| spl0_311
| ~ spl0_388 ),
inference(sat_conversion,[],[f15988]) ).
cnf(s1650,plain,
( spl0_303
| spl0_346
| ~ spl0_388 ),
inference(sat_conversion,[],[f15989]) ).
cnf(s1665,plain,
( spl0_218
| spl0_223
| spl0_243 ),
inference(sat_conversion,[],[f16113]) ).
cnf(s1668,plain,
( ~ spl0_17
| spl0_218
| spl0_243
| ~ spl0_337 ),
inference(sat_conversion,[],[f16116]) ).
cnf(s1674,plain,
( ~ spl0_6
| spl0_141
| spl0_211
| spl0_239
| spl0_243 ),
inference(sat_conversion,[],[f16131]) ).
cnf(s1696,plain,
( ~ spl0_6
| spl0_32
| spl0_68
| spl0_140
| spl0_141 ),
inference(sat_conversion,[],[f16164]) ).
cnf(s1707,plain,
( ~ spl0_203
| ~ spl0_272
| ~ spl0_320 ),
inference(sat_conversion,[],[f16297]) ).
cnf(s1708,plain,
( ~ spl0_272
| ~ spl0_311
| ~ spl0_408 ),
inference(sat_conversion,[],[f16298]) ).
cnf(s1724,plain,
( ~ spl0_260
| spl0_303
| spl0_309 ),
inference(sat_conversion,[],[f16450]) ).
cnf(s1726,plain,
( ~ spl0_239
| ~ spl0_260
| ~ spl0_346 ),
inference(sat_conversion,[],[f16453]) ).
cnf(s1735,plain,
( ~ spl0_177
| ~ spl0_218
| ~ spl0_306 ),
inference(sat_conversion,[],[f16531]) ).
cnf(s1737,plain,
( ~ spl0_199
| ~ spl0_270
| spl0_384 ),
inference(sat_conversion,[],[f16545]) ).
cnf(s1738,plain,
( ~ spl0_6
| spl0_140
| spl0_239
| spl0_242
| ~ spl0_260
| ~ spl0_302 ),
inference(sat_conversion,[],[f16563]) ).
cnf(s1753,plain,
~ spl0_242,
inference(sat_conversion,[],[f16705]) ).
cnf(s1758,plain,
( spl0_8
| spl0_26 ),
inference(sat_conversion,[],[f16716]) ).
cnf(s1767,plain,
( ~ spl0_4
| ~ spl0_28
| ~ spl0_311
| ~ spl0_337 ),
inference(sat_conversion,[],[f16732]) ).
cnf(s1771,plain,
( ~ spl0_2
| spl0_187
| ~ spl0_220
| ~ spl0_306 ),
inference(sat_conversion,[],[f16737]) ).
cnf(s1774,plain,
( ~ spl0_2
| spl0_26
| ~ spl0_218
| ~ spl0_220 ),
inference(sat_conversion,[],[f16740]) ).
cnf(s1781,plain,
( spl0_306
| ~ spl0_320
| ~ spl0_326 ),
inference(sat_conversion,[],[f16750]) ).
cnf(s1784,plain,
( spl0_9
| ~ spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f16759]) ).
cnf(s1794,plain,
( spl0_274
| spl0_303
| ~ spl0_384 ),
inference(sat_conversion,[],[f16872]) ).
cnf(s1795,plain,
( ~ spl0_16
| ~ spl0_346
| ~ spl0_384 ),
inference(sat_conversion,[],[f16874]) ).
cnf(s1797,plain,
( spl0_1
| spl0_39
| ~ spl0_144 ),
inference(sat_conversion,[],[f16878]) ).
cnf(s1800,plain,
( spl0_11
| spl0_39
| ~ spl0_284 ),
inference(sat_conversion,[],[f16890]) ).
cnf(s1804,plain,
( spl0_11
| ~ spl0_72
| spl0_153 ),
inference(sat_conversion,[],[f16904]) ).
cnf(s1805,plain,
( ~ spl0_2
| ~ spl0_8
| spl0_28
| ~ spl0_72 ),
inference(sat_conversion,[],[f16906]) ).
cnf(s1806,plain,
( ~ spl0_45
| spl0_75
| spl0_141 ),
inference(sat_conversion,[],[f16926]) ).
cnf(s1817,plain,
( spl0_11
| ~ spl0_68
| spl0_129 ),
inference(sat_conversion,[],[f16956]) ).
cnf(s1821,plain,
( spl0_56
| spl0_129
| ~ spl0_164 ),
inference(sat_conversion,[],[f16972]) ).
cnf(s1824,plain,
( ~ spl0_6
| ~ spl0_20
| ~ spl0_39
| spl0_73
| spl0_141 ),
inference(sat_conversion,[],[f17004]) ).
cnf(s1828,plain,
( ~ spl0_20
| ~ spl0_239
| ~ spl0_344 ),
inference(sat_conversion,[],[f17017]) ).
cnf(s1831,plain,
( ~ spl0_2
| spl0_26
| ~ spl0_239
| ~ spl0_344 ),
inference(sat_conversion,[],[f17027]) ).
cnf(s1845,plain,
~ spl0_243,
inference(sat_conversion,[],[f17167]) ).
cnf(s1854,plain,
( spl0_1
| ~ spl0_220
| spl0_274 ),
inference(sat_conversion,[],[f17176]) ).
cnf(s1861,plain,
( spl0_141
| spl0_209
| ~ spl0_311 ),
inference(sat_conversion,[],[f17250]) ).
cnf(s1865,plain,
( ~ spl0_6
| spl0_32
| spl0_141
| spl0_218
| ~ spl0_311 ),
inference(sat_conversion,[],[f17261]) ).
cnf(s1867,plain,
( spl0_144
| ~ spl0_311
| spl0_343
| spl0_369 ),
inference(sat_conversion,[],[f17262]) ).
cnf(s1878,plain,
( spl0_1
| spl0_36
| ~ spl0_37 ),
inference(sat_conversion,[],[f17313]) ).
cnf(s1879,plain,
( spl0_32
| ~ spl0_37
| ~ spl0_73 ),
inference(sat_conversion,[],[f17330]) ).
cnf(s1883,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_36 ),
inference(sat_conversion,[],[f17367]) ).
cnf(s1884,plain,
( spl0_37
| spl0_43
| ~ spl0_165
| spl0_202 ),
inference(sat_conversion,[],[f17368]) ).
cnf(s1889,plain,
( spl0_270
| ~ spl0_278
| spl0_306
| spl0_307 ),
inference(sat_conversion,[],[f17437]) ).
cnf(s1898,plain,
( ~ spl0_56
| spl0_58
| ~ spl0_269
| ~ spl0_312 ),
inference(sat_conversion,[],[f17554]) ).
cnf(s1901,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_274 ),
inference(sat_conversion,[],[f17586]) ).
cnf(s1902,plain,
( spl0_357
| spl0_359
| spl0_365 ),
inference(sat_conversion,[],[f17613]) ).
cnf(s1908,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_374 ),
inference(sat_conversion,[],[f17633]) ).
cnf(s1909,plain,
( ~ spl0_3
| ~ spl0_208
| spl0_274 ),
inference(sat_conversion,[],[f17650]) ).
cnf(s1910,plain,
( ~ spl0_3
| ~ spl0_211
| spl0_374 ),
inference(sat_conversion,[],[f17651]) ).
cnf(s1913,plain,
( ~ spl0_7
| spl0_187 ),
inference(sat_conversion,[],[f17655]) ).
cnf(s1916,plain,
( ~ spl0_7
| spl0_337 ),
inference(sat_conversion,[],[f17660]) ).
cnf(s1919,plain,
( spl0_11
| ~ spl0_211
| spl0_372 ),
inference(sat_conversion,[],[f17663]) ).
cnf(s1921,plain,
( spl0_144
| spl0_202
| spl0_231
| ~ spl0_320 ),
inference(sat_conversion,[],[f17665]) ).
cnf(s1922,plain,
( spl0_9
| ~ spl0_141
| spl0_153 ),
inference(sat_conversion,[],[f17674]) ).
cnf(s1925,plain,
( ~ spl0_11
| ~ spl0_141 ),
inference(sat_conversion,[],[f17693]) ).
cnf(s1929,plain,
( ~ spl0_277
| spl0_302
| spl0_303 ),
inference(sat_conversion,[],[f17775]) ).
cnf(s1930,plain,
( spl0_56
| spl0_302
| ~ spl0_306 ),
inference(sat_conversion,[],[f17778]) ).
cnf(s1936,plain,
( ~ spl0_5
| ~ spl0_372 ),
inference(sat_conversion,[],[f17834]) ).
cnf(s1937,plain,
( ~ spl0_208
| ~ spl0_262
| ~ spl0_372 ),
inference(sat_conversion,[],[f17836]) ).
cnf(s1938,plain,
( ~ spl0_5
| ~ spl0_302 ),
inference(sat_conversion,[],[f17844]) ).
cnf(s1941,plain,
( ~ spl0_5
| spl0_72 ),
inference(sat_conversion,[],[f17849]) ).
cnf(s1942,plain,
( ~ spl0_4
| ~ spl0_187
| spl0_404 ),
inference(sat_conversion,[],[f17850]) ).
cnf(s1943,plain,
( ~ spl0_4
| ~ spl0_261
| ~ spl0_336
| ~ spl0_337 ),
inference(sat_conversion,[],[f17851]) ).
cnf(s1944,plain,
( spl0_218
| ~ spl0_261
| spl0_385 ),
inference(sat_conversion,[],[f17852]) ).
cnf(s1945,plain,
( ~ spl0_7
| spl0_28 ),
inference(sat_conversion,[],[f17863]) ).
cnf(s1951,plain,
( spl0_9
| ~ spl0_218
| spl0_346 ),
inference(sat_conversion,[],[f17905]) ).
cnf(s1957,plain,
( ~ spl0_4
| ~ spl0_187
| ~ spl0_278
| ~ spl0_337 ),
inference(sat_conversion,[],[f18008]) ).
cnf(s1960,plain,
( ~ spl0_5
| ~ spl0_129 ),
inference(sat_conversion,[],[f18041]) ).
cnf(s1966,plain,
( ~ spl0_5
| ~ spl0_390 ),
inference(sat_conversion,[],[f18130]) ).
cnf(s1971,plain,
( ~ spl0_5
| ~ spl0_309 ),
inference(sat_conversion,[],[f18193]) ).
cnf(s1980,plain,
( ~ spl0_1
| spl0_58
| spl0_140
| ~ spl0_282 ),
inference(sat_conversion,[],[f18247]) ).
cnf(s2006,plain,
( ~ spl0_5
| ~ spl0_12
| spl0_122 ),
inference(sat_conversion,[],[f18585]) ).
cnf(s2007,plain,
( ~ spl0_6
| spl0_140
| spl0_239
| ~ spl0_260
| ~ spl0_302 ),
inference(rat,[],[s1738,s1753]) ).
cnf(s2009,plain,
( ~ spl0_6
| spl0_141
| spl0_211
| spl0_239 ),
inference(rat,[],[s1674,s1845]) ).
cnf(s2010,plain,
( ~ spl0_17
| spl0_218
| ~ spl0_337 ),
inference(rat,[],[s1668,s1845]) ).
cnf(s2011,plain,
( spl0_218
| spl0_223 ),
inference(rat,[],[s1665,s1845]) ).
cnf(s2017,plain,
( spl0_388
| spl0_408 ),
inference(rat,[],[s1542,s1845]) ).
cnf(s2032,plain,
( ~ spl0_6
| spl0_218
| spl0_239
| ~ spl0_261 ),
inference(rat,[],[s1325,s1845]) ).
cnf(s2038,plain,
( ~ spl0_6
| ~ spl0_153
| ~ spl0_211
| spl0_218
| ~ spl0_261 ),
inference(rat,[],[s1315,s1845]) ).
cnf(s2048,plain,
( ~ spl0_6
| spl0_140
| spl0_218
| ~ spl0_278 ),
inference(rat,[],[s1252,s1845]) ).
cnf(s2106,plain,
( ~ spl0_311
| ~ spl0_202
| ~ spl0_177
| spl0_141
| ~ spl0_6 ),
inference(rat,[],[s1735,s1568,s1865,s47]) ).
cnf(s2108,plain,
( spl0_311
| ~ spl0_187
| ~ spl0_29
| ~ spl0_26
| ~ spl0_4 ),
inference(rat,[],[s1929,s855,s1545,s1957,s1646,s1205,s1620,s1358,s1492,s557]) ).
cnf(s2110,plain,
( ~ spl0_187
| ~ spl0_153
| ~ spl0_28
| ~ spl0_26
| ~ spl0_4 ),
inference(rat,[],[s1537,s1491,s1629]) ).
cnf(s2111,plain,
( ~ spl0_311
| ~ spl0_202
| spl0_187
| ~ spl0_28
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1771,s1205,s1568,s1767]) ).
cnf(s2112,plain,
( spl0_311
| spl0_140
| ~ spl0_37
| ~ spl0_153
| ~ spl0_72
| ~ spl0_12
| ~ spl0_26
| ~ spl0_6
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s1210,s1854,s855,s1205,s2048,s1646,s1263,s1649,s1206,s557]) ).
cnf(s2113,plain,
( ~ spl0_28
| ~ spl0_16
| spl0_11
| spl0_9
| ~ spl0_26
| ~ spl0_6
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s1795,s1293,s1951,s877,s2048,s1800,s855,s273,s1210,s1428,s1854,s1921,s1867,s1205,s2111,s1296,s1767,s2112,s1185,s395,s562,s2110,s1084,s1922,s1065,s1169,s1044,s1,s7,s1784,s557,s47]) ).
cnf(s2114,plain,
( ~ spl0_16
| spl0_11
| spl0_9
| ~ spl0_26
| ~ spl0_6
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s1737,s862,s1889,s1178,s1291,s510,s855,s1004,s1143,s1503,s1795,s1884,s1735,s1951,s2106,s1865,s1271,s1112,s2108,s1491,s562,s1879,s1824,s1107,s1797,s1084,s495,s1375,s2113,s1784,s1,s557,s47]) ).
cnf(s2115,plain,
( ~ spl0_211
| ~ spl0_129
| ~ spl0_404
| ~ spl0_39 ),
inference(rat,[],[s1554,s1217,s1276]) ).
cnf(s2116,plain,
( ~ spl0_187
| spl0_141
| ~ spl0_39
| ~ spl0_29
| spl0_16
| spl0_11
| spl0_9
| ~ spl0_26
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s1373,s826,s1902,s1726,s1389,s2009,s2115,s1889,s1817,s1291,s1538,s855,s1570,s1143,s1503,s1735,s1951,s1865,s1861,s1483,s2108,s1494,s1492,s1076,s1942,s19,s483,s1580,s557,s1527,s47]) ).
cnf(s2117,plain,
( ~ spl0_311
| ~ spl0_177
| ~ spl0_163
| ~ spl0_165
| ~ spl0_320
| spl0_141
| ~ spl0_6 ),
inference(rat,[],[s1781,s1735,s1616,s1865,s47]) ).
cnf(s2118,plain,
( ~ spl0_211
| ~ spl0_337
| spl0_311
| ~ spl0_39
| ~ spl0_12
| ~ spl0_4 ),
inference(rat,[],[s1943,s826,s1196,s965,s1276,s557]) ).
cnf(s2119,plain,
( spl0_141
| ~ spl0_39
| ~ spl0_144
| ~ spl0_29
| spl0_16
| spl0_11
| spl0_9
| ~ spl0_26
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1373,s826,s1902,s1726,s1389,s2009,s2118,s1889,s1291,s855,s1143,s1503,s1735,s1650,s2010,s1646,s1205,s1620,s1358,s2117,s1271,s925,s1005,s408,s1428,s517,s562,s2116,s7,s854,s557,s1527,s47]) ).
cnf(s2120,plain,
( ~ spl0_211
| ~ spl0_72
| ~ spl0_39
| spl0_11
| ~ spl0_26
| ~ spl0_4 ),
inference(rat,[],[s1382,s1276,s1919]) ).
cnf(s2121,plain,
( ~ spl0_187
| ~ spl0_153
| ~ spl0_141
| ~ spl0_39
| ~ spl0_29
| spl0_16
| spl0_11
| ~ spl0_26
| ~ spl0_6
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s826,s1421,s1566,s1615,s969,s2120,s1884,s1878,s1636,s1201,s1708,s1205,s2017,s2010,s1545,s1735,s1930,s1781,s1616,s1500,s925,s1005,s1103,s1537,s1483,s2108,s1494,s1492,s854,s483,s1580,s557,s47]) ).
cnf(s2122,plain,
( ~ spl0_311
| ~ spl0_163
| ~ spl0_165
| ~ spl0_320
| spl0_187
| ~ spl0_39
| spl0_56
| ~ spl0_17
| spl0_11
| spl0_9
| ~ spl0_26
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2007,s1726,s826,s1421,s1615,s969,s2120,s1636,s1707,s1271,s1378,s1735,s1951,s1545,s2010,s1646,s1205,s1771,s1930,s1781,s1616,s557]) ).
cnf(s2123,plain,
( spl0_28
| spl0_11
| spl0_9
| ~ spl0_26
| ~ spl0_6
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s2010,s1205,s1263,s1620,s1206,s2122,s925,s1005,s1428,s517,s562,s2121,s1922,s2119,s1797,s495,s1375,s1,s854,s483,s1580,s2114,s557,s47]) ).
cnf(s2124,plain,
( ~ spl0_211
| spl0_361
| ~ spl0_143
| ~ spl0_129
| ~ spl0_362
| spl0_337
| ~ spl0_72
| spl0_11
| ~ spl0_26
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s826,s1265,s1123,s1382,s1217,s1919,s557]) ).
cnf(s2125,plain,
( ~ spl0_311
| ~ spl0_153
| ~ spl0_28
| spl0_11
| ~ spl0_26
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s826,s1123,s1265,s1215,s1196,s1376,s969,s2124,s1190,s199,s564,s1817,s1537,s1538,s1574,s855,s1143,s1210,s1201,s1854,s1205,s1296,s1767,s1,s1061,s1065,s1044,s1878,s562,s2110,s557,s47]) ).
cnf(s2126,plain,
( ~ spl0_211
| spl0_311
| ~ spl0_153
| ~ spl0_12
| ~ spl0_6 ),
inference(rat,[],[s826,s965,s2038,s1263,s1206,s557]) ).
cnf(s2127,plain,
( spl0_11
| spl0_9
| ~ spl0_26
| ~ spl0_6
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s1373,s826,s1902,s1260,s1215,s1196,s1376,s969,s2126,s1889,s1291,s855,s1143,s1210,s1201,s1854,s1205,s1646,s1263,s1649,s1206,s2125,s1878,s562,s2110,s1922,s1065,s1169,s1044,s2123,s2114,s7,s1,s557,s1527,s47]) ).
cnf(s2128,plain,
( ~ spl0_11
| ~ spl0_26
| ~ spl0_4 ),
inference(rat,[],[s1169,s35,s1925]) ).
cnf(s2129,plain,
( ~ spl0_26
| ~ spl0_6
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s1644,s925,s1005,s845,s517,s927,s495,s1375,s920,s914,s33,s64,s2127,s2128,s1,s557,s47]) ).
cnf(s2130,plain,
( ~ spl0_218
| spl0_141
| ~ spl0_39
| spl0_11
| ~ spl0_20
| spl0_26
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1943,s1196,s826,s1828,s1726,s2009,s2115,s1817,s1696,s1503,s855,s1957,s1205,s1774,s1951,s32,s1942,s562,s1879,s1824,s557,s47]) ).
cnf(s2131,plain,
( spl0_28
| ~ spl0_6
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s1389,s1271,s1554,s1696,s1828,s967,s2009,s855,s2118,s1957,s1205,s1620,s1865,s2130,s1942,s562,s1879,s1824,s7,s1084,s1797,s35,s495,s1375,s1,s32,s22,s2129,s47,s557]) ).
cnf(s2132,plain,
( ~ spl0_311
| spl0_141
| ~ spl0_28
| spl0_26
| ~ spl0_6
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1774,s1205,s1865,s1767,s47]) ).
cnf(s2134,plain,
( spl0_211
| spl0_141
| ~ spl0_28
| ~ spl0_20
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s1196,s1828,s1376,s2009,s969]) ).
cnf(s2135,plain,
( ~ spl0_187
| spl0_344
| ~ spl0_211
| spl0_11
| ~ spl0_28
| ~ spl0_4 ),
inference(rat,[],[s1817,s1217,s1538,s1554,s1629,s1942]) ).
cnf(s2136,plain,
( ~ spl0_220
| spl0_141
| spl0_11
| ~ spl0_6
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s855,s2048,s1210,s395,s562,s2135,s1828,s2032,s1774,s1854,s826,s965,s2134,s22,s7,s2132,s2131,s2129,s1,s557]) ).
cnf(s2137,plain,
( ~ spl0_187
| ~ spl0_337
| spl0_311
| ~ spl0_12
| ~ spl0_28
| ~ spl0_4 ),
inference(rat,[],[s967,s855,s1538,s1957,s1629,s557]) ).
cnf(s2138,plain,
( spl0_141
| spl0_11
| ~ spl0_6
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s1207,s1121,s1817,s1292,s1902,s1696,s199,s564,s1215,s395,s1878,s562,s2137,s1196,s1943,s1205,s2136,s825,s826,s1937,s965,s1919,s2134,s1206,s2132,s1,s22,s2129,s2131,s7,s1527,s47,s557]) ).
cnf(s2140,plain,
( ~ spl0_344
| spl0_337
| spl0_26
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s826,s2032,s1265,s1831,s1774,s1205,s557]) ).
cnf(s2141,plain,
( spl0_337
| spl0_11
| ~ spl0_6
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s855,s2048,s1210,s395,s562,s2135,s969,s1376,s1196,s2140,s1774,s1854,s1205,s1,s22,s2129,s2131,s557]) ).
cnf(s2142,plain,
( spl0_11
| ~ spl0_6
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s826,s2007,s2032,s1929,s1831,s855,s1196,s2048,s1376,s395,s969,s1263,s562,s2126,s1206,s1358,s2137,s1767,s2141,s1922,s2138,s7,s1,s32,s22,s2129,s2131,s557]) ).
cnf(s2143,plain,
( ~ spl0_6
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s562,s1626,s1879,s1005,s101,s58,s1047,s2142,s2131,s2129,s1,s47]) ).
cnf(s2144,plain,
( spl0_311
| ~ spl0_26
| ~ spl0_12
| ~ spl0_29
| ~ spl0_72
| ~ spl0_4 ),
inference(rat,[],[s1205,s1646,s1620,s1649]) ).
cnf(s2145,plain,
( spl0_56
| ~ spl0_311
| ~ spl0_320
| ~ spl0_5 ),
inference(rat,[],[s1616,s1781,s925,s1005,s1930,s1821,s1960,s1938,s557,s47]) ).
cnf(s2146,plain,
( spl0_28
| ~ spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1491,s481,s1112,s2145,s2144,s1538,s1758,s1817,s7,s1805,s35,s1375,s1960,s1941]) ).
cnf(s2147,plain,
( ~ spl0_26
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s1602,s1609,s1944,s2011,s855,s826,s1263,s1929,s1724,s1390,s1206,s1358,s481,s2125,s2110,s1804,s2128,s1971,s1966,s1941,s1938,s2146,s3,s2143,s1,s557]) ).
cnf(s2148,plain,
( ~ spl0_4
| spl0_1 ),
inference(rat,[],[s7,s2137,s1767,s24,s1913,s1916,s4,s1758,s2147,s2146,s3,s2143,s1]) ).
cnf(s2149,plain,
( spl0_141
| ~ spl0_45
| ~ spl0_122
| ~ spl0_6
| spl0_68
| spl0_177 ),
inference(rat,[],[s445,s1271,s1806,s1696,s1077,s47]) ).
cnf(s2150,plain,
( ~ spl0_56
| ~ spl0_30 ),
inference(rat,[],[s564,s831,s1112,s47]) ).
cnf(s2151,plain,
( spl0_28
| ~ spl0_3 ),
inference(rat,[],[s1644,s925,s1005,s1821,s2150,s841,s845,s1922,s2149,s1063,s417,s3,s1804,s1817,s7,s5,s35,s1945,s586,s411,s276,s557,s47]) ).
cnf(s2152,plain,
( spl0_11
| ~ spl0_6
| ~ spl0_3 ),
inference(rat,[],[s1922,s438,s2149,s102,s1063,s417,s1804,s1817,s7,s586,s411,s276,s2151]) ).
cnf(s2153,plain,
( ~ spl0_6
| ~ spl0_3 ),
inference(rat,[],[s72,s446,s74,s863,s142,s488,s58,s1058,s2152,s476,s320,s557]) ).
cnf(s2154,plain,
~ spl0_3,
inference(rat,[],[s1898,s1617,s2145,s1538,s1206,s969,s184,s1909,s1910,s1883,s1901,s1908,s925,s1005,s9,s1047,s1804,s1941,s3,s2153,s172,s276,s381,s557,s47]) ).
cnf(s2155,plain,
spl0_4,
inference(rat,[],[s2,s2154]) ).
cnf(s2156,plain,
spl0_1,
inference(rat,[],[s2148,s2155]) ).
cnf(s2159,plain,
~ spl0_276,
inference(rat,[],[s904,s2156]) ).
cnf(s2160,plain,
spl0_196,
inference(rat,[],[s901,s2156]) ).
cnf(s2161,plain,
~ spl0_284,
inference(rat,[],[s900,s2156]) ).
cnf(s2163,plain,
~ spl0_16,
inference(rat,[],[s898,s2156]) ).
cnf(s2164,plain,
~ spl0_194,
inference(rat,[],[s890,s2156]) ).
cnf(s2167,plain,
spl0_199,
inference(rat,[],[s862,s2159]) ).
cnf(s2169,plain,
spl0_15,
inference(rat,[],[s19,s2163]) ).
cnf(s2171,plain,
~ spl0_270,
inference(rat,[],[s964,s2156,s2167]) ).
cnf(s2172,plain,
~ spl0_245,
inference(rat,[],[s1007,s2156,s2169]) ).
cnf(s2176,plain,
( spl0_164
| ~ spl0_6 ),
inference(rat,[],[s1635,s909,s1922,s1630,s1001,s925,s1005,s911,s1077,s1069,s2156,s2161,s2172,s557,s47,s2169]) ).
cnf(s2177,plain,
~ spl0_6,
inference(rat,[],[s986,s993,s72,s1013,s996,s912,s1014,s32,s1271,s1821,s1103,s2176,s1077,s1980,s1069,s483,s856,s2156,s2169,s381,s2172,s2164,s2163]) ).
cnf(s2178,plain,
spl0_5,
inference(rat,[],[s3,s2177]) ).
cnf(s2184,plain,
~ spl0_129,
inference(rat,[],[s1960,s2178]) ).
cnf(s2186,plain,
~ spl0_302,
inference(rat,[],[s1938,s2178]) ).
cnf(s2187,plain,
~ spl0_372,
inference(rat,[],[s1936,s2178]) ).
cnf(s2190,plain,
( spl0_164
| spl0_279 ),
inference(rat,[],[s1630,s925,s1005,s2161,s557,s47]) ).
cnf(s2191,plain,
spl0_11,
inference(rat,[],[s833,s1898,s1821,s2190,s909,s969,s2006,s1919,s7,s47,s2171,s381,s2184,s2156,s2178,s2187]) ).
cnf(s2197,plain,
~ spl0_144,
inference(rat,[],[s1048,s2191]) ).
cnf(s2198,plain,
~ spl0_164,
inference(rat,[],[s1047,s2191]) ).
cnf(s2202,plain,
spl0_28,
inference(rat,[],[s35,s2191]) ).
cnf(s2204,plain,
~ spl0_26,
inference(rat,[],[s2128,s2155,s2191]) ).
cnf(s2207,plain,
spl0_165,
inference(rat,[],[s1005,s47,s2198]) ).
cnf(s2219,plain,
spl0_8,
inference(rat,[],[s1758,s2204]) ).
cnf(s2221,plain,
~ spl0_187,
inference(rat,[],[s1626,s2155,s2202,s2207]) ).
cnf(s2229,plain,
~ spl0_274,
inference(rat,[],[s1901,s2178,s2219]) ).
cnf(s2234,plain,
~ spl0_56,
inference(rat,[],[s481,s2221]) ).
cnf(s2239,plain,
~ spl0_306,
inference(rat,[],[s1930,s2186,s2234]) ).
cnf(s2242,plain,
spl0_362,
inference(rat,[],[s1143,s557,s2239]) ).
cnf(s2243,plain,
~ spl0_311,
inference(rat,[],[s1293,s1794,s1867,s1356,s1296,s1767,s2160,s2229,s2197,s2202,s2155]) ).
cnf(s2244,plain,
~ spl0_303,
inference(rat,[],[s1358,s2243]) ).
cnf(s2248,plain,
~ spl0_277,
inference(rat,[],[s1929,s2186,s2244]) ).
cnf(s2253,plain,
spl0_278,
inference(rat,[],[s855,s557,s2248]) ).
cnf(s2257,plain,
spl0_307,
inference(rat,[],[s1889,s2239,s2171,s2253]) ).
cnf(s2258,plain,
$false,
inference(rat,[],[s1291,s2242,s2253,s2257]) ).
thf(f18586,plain,
$false,
inference(avatar_sat_refutation,[],[s2258]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA141^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n008.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
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 19:04:25 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.35 % (3587534)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.35 % (3587543)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=594396111:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.35 % (3587545)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.35 % (3587545)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.20/0.35 % (3587543)Instruction limit reached!
% 0.20/0.35 % (3587543)------------------------------
% 0.20/0.35 % (3587543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (3587543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (3587543)CaDiCaL version: 2.1.3
% 0.20/0.35 % (3587543)Termination reason: Instruction limit
% 0.20/0.35 % (3587543)Termination phase: Saturation
% 0.20/0.35 % (3587543)Time elapsed: 0.006 s
% 0.20/0.35 % (3587543)Peak memory usage: 11 MB
% 0.20/0.35 % (3587543)Instructions burned: 25 (million)
% 0.20/0.35 % (3587539)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=196135445:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.35 % (3587540)lrs+10_16_si=on:nwc=1.5:random_seed=530190754:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.35 % (3587541)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=16926551:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.35 % (3587545)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=3160668311:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.35 % (3587542)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=2301188211:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.20/0.35 % (3587544)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2921571342:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.35 % (3587541)Instruction limit reached!
% 0.20/0.35 % (3587541)------------------------------
% 0.20/0.35 % (3587541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (3587541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (3587541)CaDiCaL version: 2.1.3
% 0.20/0.35 % (3587541)Termination reason: Instruction limit
% 0.20/0.35 % (3587541)Termination phase: Saturation
% 0.20/0.35 % (3587541)Time elapsed: 0.003 s
% 0.20/0.35 % (3587541)Peak memory usage: 12 MB
% 0.20/0.35 % (3587541)Instructions burned: 4 (million)
% 0.20/0.35 % (3587547)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3578881471:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.20/0.35 % (3587540)Instruction limit reached!
% 0.20/0.35 % (3587540)------------------------------
% 0.20/0.35 % (3587540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (3587540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (3587540)CaDiCaL version: 2.1.3
% 0.20/0.35 % (3587540)Termination reason: Instruction limit
% 0.20/0.35 % (3587540)Termination phase: Saturation
% 0.20/0.35 % (3587540)Time elapsed: 0.009 s
% 0.20/0.35 % (3587540)Peak memory usage: 12 MB
% 0.20/0.35 % (3587540)Instructions burned: 19 (million)
% 0.20/0.35 % (3587547)Instruction limit reached!
% 0.20/0.35 % (3587547)------------------------------
% 0.20/0.35 % (3587547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (3587547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (3587547)CaDiCaL version: 2.1.3
% 0.20/0.35 % (3587547)Termination reason: Instruction limit
% 0.20/0.35 % (3587547)Termination phase: Saturation
% 0.20/0.35 % (3587547)Time elapsed: 0.001 s
% 0.20/0.35 % (3587547)Peak memory usage: 12 MB
% 0.20/0.35 % (3587547)Instructions burned: 2 (million)
% 0.20/0.35 % (3587557)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1416385594:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.74/0.38 % (3587554)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4223632293:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.74/0.38 % (3587556)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.74/0.38 % (3587557)Instruction limit reached!
% 0.74/0.38 % (3587557)------------------------------
% 0.74/0.38 % (3587557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.38 % (3587557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.38 % (3587557)CaDiCaL version: 2.1.3
% 0.74/0.38 % (3587557)Termination reason: Instruction limit
% 0.74/0.38 % (3587557)Termination phase: Saturation
% 0.74/0.38 % (3587557)Time elapsed: 0.004 s
% 0.74/0.38 % (3587557)Peak memory usage: 12 MB
% 0.74/0.38 % (3587557)Instructions burned: 13 (million)
% 0.74/0.38 % (3587554)Instruction limit reached!
% 0.74/0.38 % (3587554)------------------------------
% 0.74/0.38 % (3587554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.38 % (3587554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.38 % (3587554)CaDiCaL version: 2.1.3
% 0.74/0.38 % (3587554)Termination reason: Instruction limit
% 0.74/0.38 % (3587554)Termination phase: Saturation
% 0.74/0.38 % (3587554)Time elapsed: 0.004 s
% 0.74/0.38 % (3587554)Peak memory usage: 11 MB
% 0.74/0.38 % (3587554)Instructions burned: 6 (million)
% 0.74/0.38 % (3587556)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1046138931:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.74/0.38 % (3587556)Instruction limit reached!
% 0.74/0.38 % (3587556)------------------------------
% 0.74/0.38 % (3587556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.38 % (3587556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.38 % (3587556)CaDiCaL version: 2.1.3
% 0.74/0.38 % (3587556)Termination reason: Instruction limit
% 0.74/0.38 % (3587556)Termination phase: Saturation
% 0.74/0.38 % (3587556)Time elapsed: 0.004 s
% 0.74/0.38 % (3587556)Peak memory usage: 12 MB
% 0.74/0.38 % (3587556)Instructions burned: 7 (million)
% 0.74/0.38 % (3587560)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
% 0.74/0.38 % (3587560)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.74/0.38 % (3587560)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2241918850:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.74/0.38 % (3587539)Instruction limit reached!
% 0.74/0.38 % (3587539)------------------------------
% 0.74/0.38 % (3587539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.38 % (3587539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.38 % (3587539)CaDiCaL version: 2.1.3
% 0.74/0.38 % (3587539)Termination reason: Instruction limit
% 0.74/0.38 % (3587539)Termination phase: Saturation
% 0.74/0.38 % (3587539)Time elapsed: 0.037 s
% 0.74/0.38 % (3587539)Peak memory usage: 12 MB
% 0.74/0.38 % (3587539)Instructions burned: 89 (million)
% 0.74/0.38 % (3587544)Instruction limit reached!
% 0.74/0.38 % (3587544)------------------------------
% 0.74/0.38 % (3587544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.38 % (3587544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.38 % (3587544)CaDiCaL version: 2.1.3
% 0.74/0.38 % (3587544)Termination reason: Instruction limit
% 0.74/0.38 % (3587544)Termination phase: Saturation
% 0.74/0.38 % (3587544)Time elapsed: 0.036 s
% 0.74/0.38 % (3587544)Peak memory usage: 12 MB
% 0.74/0.38 % (3587544)Instructions burned: 77 (million)
% 0.74/0.38 % (3587560)Instruction limit reached!
% 0.74/0.38 % (3587560)------------------------------
% 0.74/0.38 % (3587560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.38 % (3587560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.38 % (3587560)CaDiCaL version: 2.1.3
% 0.74/0.38 % (3587560)Termination reason: Instruction limit
% 0.74/0.38 % (3587560)Termination phase: Saturation
% 0.74/0.40 % (3587560)Time elapsed: 0.007 s
% 0.74/0.40 % (3587560)Peak memory usage: 12 MB
% 0.74/0.40 % (3587560)Instructions burned: 28 (million)
% 0.74/0.40 % (3587561)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=3920283873:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.74/0.40 % (3587567)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1069389841:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.74/0.40 % (3587563)lrs+10_1_si=on:cs=on:random_seed=2909608499:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.74/0.40 % (3587565)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.74/0.40 % (3587567)Refutation not found, incomplete strategy
% 0.74/0.40 % (3587567)------------------------------
% 0.74/0.40 % (3587567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (3587567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (3587567)CaDiCaL version: 2.1.3
% 0.74/0.40 % (3587567)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.40 % (3587567)Time elapsed: 0.0000 s
% 0.74/0.40 % (3587567)Peak memory usage: 11 MB
% 0.74/0.40 % (3587567)------------------------------
% 0.74/0.40 % (3587567)------------------------------
% 0.74/0.40 % (3587565)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=1797698376:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.74/0.40 % (3587566)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3586941830:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.74/0.40 % (3587565)Instruction limit reached!
% 0.74/0.40 % (3587565)------------------------------
% 0.74/0.40 % (3587565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (3587565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (3587565)CaDiCaL version: 2.1.3
% 0.74/0.40 % (3587565)Termination reason: Instruction limit
% 0.74/0.40 % (3587565)Termination phase: Saturation
% 0.74/0.40 % (3587565)Time elapsed: 0.001 s
% 0.74/0.40 % (3587565)Peak memory usage: 11 MB
% 0.74/0.40 % (3587565)Instructions burned: 2 (million)
% 0.74/0.40 % (3587563)Instruction limit reached!
% 0.74/0.40 % (3587563)------------------------------
% 0.74/0.40 % (3587563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (3587566)Refutation not found, incomplete strategy
% 0.74/0.40 % (3587566)------------------------------
% 0.74/0.40 % (3587566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (3587563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (3587566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (3587563)CaDiCaL version: 2.1.3
% 0.74/0.40 % (3587563)Termination reason: Instruction limit
% 0.74/0.40 % (3587563)Termination phase: Saturation
% 0.74/0.40 % (3587563)Time elapsed: 0.005 s
% 0.74/0.40 % (3587563)Peak memory usage: 11 MB
% 0.74/0.40 % (3587563)Instructions burned: 10 (million)
% 0.74/0.40 % (3587566)CaDiCaL version: 2.1.3
% 0.74/0.40 % (3587566)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.40 % (3587566)Time elapsed: 0.001 s
% 0.74/0.40 % (3587566)Peak memory usage: 11 MB
% 0.74/0.40 % (3587566)------------------------------
% 0.74/0.40 % (3587566)------------------------------
% 0.74/0.40 % (3587571)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=337891519:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.74/0.40 % (3587545)Instruction limit reached!
% 0.74/0.40 % (3587545)------------------------------
% 0.74/0.40 % (3587545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (3587545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (3587545)CaDiCaL version: 2.1.3
% 0.74/0.40 % (3587545)Termination reason: Instruction limit
% 0.74/0.40 % (3587545)Termination phase: Saturation
% 0.74/0.40 % (3587545)Time elapsed: 0.063 s
% 0.74/0.40 % (3587545)Peak memory usage: 12 MB
% 0.74/0.40 % (3587545)Instructions burned: 159 (million)
% 0.74/0.40 % (3587571)Refutation not found, incomplete strategy
% 0.74/0.43 % (3587571)------------------------------
% 0.74/0.43 % (3587571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (3587571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (3587571)CaDiCaL version: 2.1.3
% 0.74/0.43 % (3587571)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.43 % (3587571)Time elapsed: 0.0000 s
% 0.74/0.43 % (3587571)Peak memory usage: 11 MB
% 0.74/0.43 % (3587571)------------------------------
% 0.74/0.43 % (3587571)------------------------------
% 0.74/0.43 % (3587579)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2459749253:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.74/0.43 % (3587574)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3594763305:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.74/0.43 % (3587575)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1777683701:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.74/0.43 % (3587576)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3131717858:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.74/0.43 % (3587575)Refutation not found, incomplete strategy
% 0.74/0.43 % (3587575)------------------------------
% 0.74/0.43 % (3587575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (3587575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (3587575)CaDiCaL version: 2.1.3
% 0.74/0.43 % (3587575)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.43 % (3587575)Time elapsed: 0.001 s
% 0.74/0.43 % (3587575)Peak memory usage: 11 MB
% 0.74/0.43 % (3587575)------------------------------
% 0.74/0.43 % (3587575)------------------------------
% 0.74/0.43 % (3587578)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3172225639: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)
% 0.74/0.43 % (3587579)Instruction limit reached!
% 0.74/0.43 % (3587579)------------------------------
% 0.74/0.43 % (3587579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (3587579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (3587579)CaDiCaL version: 2.1.3
% 0.74/0.43 % (3587579)Termination reason: Instruction limit
% 0.74/0.43 % (3587579)Termination phase: Saturation
% 0.74/0.43 % (3587579)Time elapsed: 0.007 s
% 0.74/0.43 % (3587579)Peak memory usage: 12 MB
% 0.74/0.43 % (3587579)Instructions burned: 28 (million)
% 0.74/0.43 % (3587578)Refutation not found, incomplete strategy
% 0.74/0.43 % (3587578)------------------------------
% 0.74/0.43 % (3587578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (3587578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (3587578)CaDiCaL version: 2.1.3
% 0.74/0.43 % (3587578)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.43 % (3587578)Time elapsed: 0.0000 s
% 0.74/0.43 % (3587578)Peak memory usage: 11 MB
% 0.74/0.43 % (3587578)------------------------------
% 0.74/0.43 % (3587578)------------------------------
% 0.74/0.43 % (3587574)Instruction limit reached!
% 0.74/0.43 % (3587574)------------------------------
% 0.74/0.43 % (3587574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (3587574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (3587574)CaDiCaL version: 2.1.3
% 0.74/0.43 % (3587574)Termination reason: Instruction limit
% 0.74/0.43 % (3587574)Termination phase: Saturation
% 0.74/0.43 % (3587574)Time elapsed: 0.008 s
% 0.74/0.43 % (3587574)Peak memory usage: 12 MB
% 0.74/0.43 % (3587574)Instructions burned: 14 (million)
% 0.74/0.43 % (3587576)Instruction limit reached!
% 0.74/0.43 % (3587576)------------------------------
% 0.74/0.43 % (3587576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (3587576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (3587576)CaDiCaL version: 2.1.3
% 0.74/0.43 % (3587576)Termination reason: Instruction limit
% 0.74/0.43 % (3587576)Termination phase: Saturation
% 0.74/0.43 % (3587576)Time elapsed: 0.008 s
% 0.74/0.43 % (3587576)Peak memory usage: 12 MB
% 0.74/0.43 % (3587576)Instructions burned: 15 (million)
% 0.74/0.46 % (3587561)Instruction limit reached!
% 0.74/0.46 % (3587561)------------------------------
% 0.74/0.46 % (3587561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.46 % (3587561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.46 % (3587561)CaDiCaL version: 2.1.3
% 0.74/0.46 % (3587561)Termination reason: Instruction limit
% 0.74/0.46 % (3587561)Termination phase: Saturation
% 0.74/0.46 % (3587561)Time elapsed: 0.042 s
% 0.74/0.46 % (3587561)Peak memory usage: 12 MB
% 0.74/0.46 % (3587561)Instructions burned: 87 (million)
% 0.74/0.46 % (3587586)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2131149751:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.74/0.46 % (3587584)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1983632310:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.74/0.46 % (3587587)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.74/0.46 % (3587587)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.74/0.46 % (3587588)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.74/0.46 % (3587587)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=2967887020:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.74/0.46 % (3587588)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=1990370700:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.74/0.46 % (3587586)Instruction limit reached!
% 0.74/0.46 % (3587586)------------------------------
% 0.74/0.46 % (3587586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.46 % (3587586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.46 % (3587586)CaDiCaL version: 2.1.3
% 0.74/0.46 % (3587586)Termination reason: Instruction limit
% 0.74/0.46 % (3587586)Termination phase: Saturation
% 0.74/0.46 % (3587586)Time elapsed: 0.012 s
% 0.74/0.46 % (3587586)Peak memory usage: 12 MB
% 0.74/0.46 % (3587586)Instructions burned: 60 (million)
% 0.74/0.46 % (3587589)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=780000247:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.74/0.46 % (3587590)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=685398426:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.74/0.46 % (3587584)Instruction limit reached!
% 0.74/0.46 % (3587584)------------------------------
% 0.74/0.46 % (3587584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.46 % (3587584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.46 % (3587584)CaDiCaL version: 2.1.3
% 0.74/0.46 % (3587584)Termination reason: Instruction limit
% 0.74/0.46 % (3587584)Termination phase: Saturation
% 0.74/0.46 % (3587584)Time elapsed: 0.010 s
% 0.74/0.46 % (3587584)Peak memory usage: 12 MB
% 0.74/0.46 % (3587584)Instructions burned: 23 (million)
% 0.74/0.46 % (3587588)Instruction limit reached!
% 0.74/0.46 % (3587588)------------------------------
% 0.74/0.46 % (3587588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.46 % (3587588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.46 % (3587588)CaDiCaL version: 2.1.3
% 0.74/0.46 % (3587588)Termination reason: Instruction limit
% 0.74/0.46 % (3587588)Termination phase: Saturation
% 0.74/0.46 % (3587588)Time elapsed: 0.005 s
% 0.74/0.46 % (3587588)Peak memory usage: 12 MB
% 0.74/0.46 % (3587588)Instructions burned: 8 (million)
% 0.74/0.46 % (3587587)Instruction limit reached!
% 0.74/0.46 % (3587587)------------------------------
% 0.74/0.46 % (3587587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.46 % (3587587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.46 % (3587587)CaDiCaL version: 2.1.3
% 1.45/0.50 % (3587587)Termination reason: Instruction limit
% 1.45/0.50 % (3587587)Termination phase: Saturation
% 1.45/0.50 % (3587587)Time elapsed: 0.008 s
% 1.45/0.50 % (3587587)Peak memory usage: 12 MB
% 1.45/0.50 % (3587587)Instructions burned: 14 (million)
% 1.45/0.50 % (3587590)Instruction limit reached!
% 1.45/0.50 % (3587590)------------------------------
% 1.45/0.50 % (3587590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.50 % (3587590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.50 % (3587590)CaDiCaL version: 2.1.3
% 1.45/0.50 % (3587590)Termination reason: Instruction limit
% 1.45/0.50 % (3587590)Termination phase: Saturation
% 1.45/0.50 % (3587590)Time elapsed: 0.005 s
% 1.45/0.50 % (3587590)Peak memory usage: 12 MB
% 1.45/0.50 % (3587590)Instructions burned: 9 (million)
% 1.45/0.50 % (3587596)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3588864201:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.45/0.50 % (3587596)Instruction limit reached!
% 1.45/0.50 % (3587596)------------------------------
% 1.45/0.50 % (3587596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.50 % (3587596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.50 % (3587596)CaDiCaL version: 2.1.3
% 1.45/0.50 % (3587596)Termination reason: Instruction limit
% 1.45/0.50 % (3587596)Termination phase: Saturation
% 1.45/0.50 % (3587596)Time elapsed: 0.005 s
% 1.45/0.50 % (3587596)Peak memory usage: 11 MB
% 1.45/0.50 % (3587596)Instructions burned: 24 (million)
% 1.45/0.50 % (3587589)Instruction limit reached!
% 1.45/0.50 % (3587589)------------------------------
% 1.45/0.50 % (3587589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.50 % (3587589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.50 % (3587589)CaDiCaL version: 2.1.3
% 1.45/0.50 % (3587589)Termination reason: Instruction limit
% 1.45/0.50 % (3587589)Termination phase: Saturation
% 1.45/0.50 % (3587589)Time elapsed: 0.016 s
% 1.45/0.50 % (3587589)Peak memory usage: 12 MB
% 1.45/0.50 % (3587589)Instructions burned: 31 (million)
% 1.45/0.50 % (3587598)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3382439714:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.45/0.50 % (3587599)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1706443736:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.45/0.50 % (3587600)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1871131917:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.45/0.50 % (3587601)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3367975857:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.45/0.50 % (3587603)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2590512040:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.45/0.50 % (3587601)Refutation not found, incomplete strategy
% 1.45/0.50 % (3587601)------------------------------
% 1.45/0.50 % (3587601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.50 % (3587601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.50 % (3587601)CaDiCaL version: 2.1.3
% 1.45/0.50 % (3587601)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.50 % (3587601)Time elapsed: 0.001 s
% 1.45/0.50 % (3587601)Peak memory usage: 11 MB
% 1.45/0.50 % (3587601)------------------------------
% 1.45/0.50 % (3587601)------------------------------
% 1.45/0.50 % (3587604)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.45/0.50 % (3587598)Instruction limit reached!
% 1.45/0.50 % (3587598)------------------------------
% 1.45/0.50 % (3587598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.50 % (3587598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.50 % (3587598)CaDiCaL version: 2.1.3
% 1.45/0.50 % (3587598)Termination reason: Instruction limit
% 1.45/0.50 % (3587598)Termination phase: Saturation
% 1.45/0.50 % (3587598)Time elapsed: 0.011 s
% 1.45/0.50 % (3587598)Peak memory usage: 12 MB
% 1.45/0.50 % (3587598)Instructions burned: 22 (million)
% 1.45/0.50 % (3587604)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=113255971:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.45/0.55 % (3587603)Instruction limit reached!
% 1.45/0.55 % (3587603)------------------------------
% 1.45/0.55 % (3587603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.55 % (3587603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.55 % (3587603)CaDiCaL version: 2.1.3
% 1.45/0.55 % (3587603)Termination reason: Instruction limit
% 1.45/0.55 % (3587603)Termination phase: Saturation
% 1.45/0.55 % (3587603)Time elapsed: 0.010 s
% 1.45/0.55 % (3587603)Peak memory usage: 12 MB
% 1.45/0.55 % (3587603)Instructions burned: 44 (million)
% 1.45/0.55 % (3587604)Instruction limit reached!
% 1.45/0.55 % (3587604)------------------------------
% 1.45/0.55 % (3587604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.55 % (3587604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.55 % (3587604)CaDiCaL version: 2.1.3
% 1.45/0.55 % (3587604)Termination reason: Instruction limit
% 1.45/0.55 % (3587604)Termination phase: Saturation
% 1.45/0.55 % (3587604)Time elapsed: 0.004 s
% 1.45/0.55 % (3587604)Peak memory usage: 12 MB
% 1.45/0.55 % (3587604)Instructions burned: 7 (million)
% 1.45/0.55 % (3587613)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.45/0.55 % (3587610)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=174702972:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.45/0.55 % (3587613)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3796469119:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.45/0.55 % (3587610)Refutation not found, incomplete strategy
% 1.45/0.55 % (3587610)------------------------------
% 1.45/0.55 % (3587610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.55 % (3587613)Refutation not found, incomplete strategy
% 1.45/0.55 % (3587613)------------------------------
% 1.45/0.55 % (3587613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.55 % (3587610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.55 % (3587610)CaDiCaL version: 2.1.3
% 1.45/0.55 % (3587613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.55 % (3587610)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.55 % (3587610)Time elapsed: 0.001 s
% 1.45/0.55 % (3587610)Peak memory usage: 11 MB
% 1.45/0.55 % (3587613)CaDiCaL version: 2.1.3
% 1.45/0.55 % (3587613)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.55 % (3587613)Time elapsed: 0.0000 s
% 1.45/0.55 % (3587613)Peak memory usage: 11 MB
% 1.45/0.55 % (3587613)Instructions burned: 1 (million)
% 1.45/0.55 % (3587613)------------------------------
% 1.45/0.55 % (3587613)------------------------------
% 1.45/0.55 % (3587610)------------------------------
% 1.45/0.55 % (3587610)------------------------------
% 1.45/0.55 % (3587611)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=3272557913:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.45/0.55 % (3587611)Refutation not found, incomplete strategy
% 1.45/0.55 % (3587611)------------------------------
% 1.45/0.55 % (3587611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.55 % (3587611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.55 % (3587611)CaDiCaL version: 2.1.3
% 1.45/0.55 % (3587611)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.55 % (3587611)Time elapsed: 0.001 s
% 1.45/0.55 % (3587611)Peak memory usage: 11 MB
% 1.45/0.55 % (3587611)------------------------------
% 1.45/0.55 % (3587611)------------------------------
% 1.45/0.55 % (3587617)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2347447301:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 1.45/0.55 % (3587617)Refutation not found, incomplete strategy
% 1.45/0.55 % (3587617)------------------------------
% 1.45/0.55 % (3587617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.55 % (3587617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.59 % (3587617)CaDiCaL version: 2.1.3
% 2.18/0.59 % (3587617)Termination reason: Refutation not found, incomplete strategy
% 2.18/0.59 % (3587617)Time elapsed: 0.001 s
% 2.18/0.59 % (3587617)Peak memory usage: 12 MB
% 2.18/0.59 % (3587614)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2311401014:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 2.18/0.59 % (3587617)Instructions burned: 2 (million)
% 2.18/0.59 % (3587617)------------------------------
% 2.18/0.59 % (3587617)------------------------------
% 2.18/0.59 % (3587618)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=2978096817:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 2.18/0.59 % (3587623)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=2580571363: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)
% 2.18/0.59 % (3587614)Instruction limit reached!
% 2.18/0.59 % (3587614)------------------------------
% 2.18/0.59 % (3587614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.59 % (3587614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.59 % (3587614)CaDiCaL version: 2.1.3
% 2.18/0.59 % (3587614)Termination reason: Instruction limit
% 2.18/0.59 % (3587614)Termination phase: Saturation
% 2.18/0.59 % (3587614)Time elapsed: 0.011 s
% 2.18/0.59 % (3587614)Peak memory usage: 12 MB
% 2.18/0.59 % (3587614)Instructions burned: 23 (million)
% 2.18/0.59 % (3587620)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=4048076330:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2998 on theBenchmark for (2998ds/853Mi)
% 2.18/0.59 % (3587600)Instruction limit reached!
% 2.18/0.59 % (3587600)------------------------------
% 2.18/0.59 % (3587600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.59 % (3587600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.59 % (3587600)CaDiCaL version: 2.1.3
% 2.18/0.59 % (3587600)Termination reason: Instruction limit
% 2.18/0.59 % (3587600)Termination phase: Saturation
% 2.18/0.59 % (3587600)Time elapsed: 0.056 s
% 2.18/0.59 % (3587600)Peak memory usage: 12 MB
% 2.18/0.59 % (3587600)Instructions burned: 144 (million)
% 2.18/0.59 % (3587623)Instruction limit reached!
% 2.18/0.59 % (3587623)------------------------------
% 2.18/0.59 % (3587623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.59 % (3587623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.59 % (3587623)CaDiCaL version: 2.1.3
% 2.18/0.59 % (3587623)Termination reason: Instruction limit
% 2.18/0.59 % (3587623)Termination phase: Saturation
% 2.18/0.59 % (3587623)Time elapsed: 0.012 s
% 2.18/0.59 % (3587623)Peak memory usage: 12 MB
% 2.18/0.59 % (3587623)Instructions burned: 46 (million)
% 2.18/0.59 % (3587626)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1718531498:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.18/0.59 % (3587629)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.18/0.59 % (3587626)Refutation not found, incomplete strategy
% 2.18/0.59 % (3587626)------------------------------
% 2.18/0.59 % (3587626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.59 % (3587626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.59 % (3587626)CaDiCaL version: 2.1.3
% 2.18/0.59 % (3587626)Termination reason: Refutation not found, incomplete strategy
% 2.18/0.59 % (3587626)Time elapsed: 0.001 s
% 2.18/0.59 % (3587626)Peak memory usage: 11 MB
% 2.18/0.59 % (3587626)Instructions burned: 1 (million)
% 2.18/0.59 % (3587626)------------------------------
% 2.18/0.59 % (3587626)------------------------------
% 2.18/0.59 % (3587629)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3798635729:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.18/0.59 % (3587628)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1021146980: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)
% 2.56/0.63 % (3587542)Instruction limit reached!
% 2.56/0.63 % (3587542)------------------------------
% 2.56/0.63 % (3587542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.63 % (3587542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.63 % (3587542)CaDiCaL version: 2.1.3
% 2.56/0.63 % (3587542)Termination reason: Instruction limit
% 2.56/0.63 % (3587542)Termination phase: Saturation
% 2.56/0.63 % (3587542)Time elapsed: 0.206 s
% 2.56/0.63 % (3587542)Peak memory usage: 13 MB
% 2.56/0.63 % (3587542)Instructions burned: 637 (million)
% 2.56/0.63 % (3587631)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3928648353:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.56/0.63 % (3587628)Instruction limit reached!
% 2.56/0.63 % (3587628)------------------------------
% 2.56/0.63 % (3587628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.63 % (3587628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.63 % (3587628)CaDiCaL version: 2.1.3
% 2.56/0.63 % (3587628)Termination reason: Instruction limit
% 2.56/0.63 % (3587628)Termination phase: Saturation
% 2.56/0.63 % (3587628)Time elapsed: 0.011 s
% 2.56/0.63 % (3587628)Peak memory usage: 12 MB
% 2.56/0.63 % (3587628)Instructions burned: 21 (million)
% 2.56/0.63 % (3587631)Instruction limit reached!
% 2.56/0.63 % (3587631)------------------------------
% 2.56/0.63 % (3587631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.63 % (3587631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.63 % (3587631)CaDiCaL version: 2.1.3
% 2.56/0.63 % (3587631)Termination reason: Instruction limit
% 2.56/0.63 % (3587631)Termination phase: Saturation
% 2.56/0.63 % (3587631)Time elapsed: 0.007 s
% 2.56/0.63 % (3587631)Peak memory usage: 12 MB
% 2.56/0.63 % (3587631)Instructions burned: 13 (million)
% 2.56/0.63 % (3587634)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=454140552:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.56/0.63 % (3587636)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=77333691:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.56/0.63 % (3587636)Refutation not found, incomplete strategy
% 2.56/0.63 % (3587636)------------------------------
% 2.56/0.63 % (3587636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.63 % (3587636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.63 % (3587636)CaDiCaL version: 2.1.3
% 2.56/0.63 % (3587636)Termination reason: Refutation not found, incomplete strategy
% 2.56/0.63 % (3587636)Time elapsed: 0.001 s
% 2.56/0.63 % (3587636)Peak memory usage: 11 MB
% 2.56/0.63 % (3587636)Instructions burned: 1 (million)
% 2.56/0.63 % (3587636)------------------------------
% 2.56/0.63 % (3587636)------------------------------
% 2.56/0.63 % (3587629)Instruction limit reached!
% 2.56/0.63 % (3587629)------------------------------
% 2.56/0.63 % (3587629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.63 % (3587629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.63 % (3587629)CaDiCaL version: 2.1.3
% 2.56/0.63 % (3587629)Termination reason: Instruction limit
% 2.56/0.63 % (3587629)Termination phase: Saturation
% 2.56/0.63 % (3587629)Time elapsed: 0.039 s
% 2.56/0.63 % (3587629)Peak memory usage: 12 MB
% 2.56/0.63 % (3587629)Instructions burned: 205 (million)
% 2.56/0.63 % (3587637)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1080019776:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.56/0.63 % (3587641)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=151441296:cond=on:i=34:hud=10:nm=10:rtra=on_2997 on theBenchmark for (2997ds/34Mi)
% 2.56/0.63 % (3587640)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=189944060:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 2.56/0.63 % (3587641)Instruction limit reached!
% 2.56/0.63 % (3587641)------------------------------
% 2.56/0.63 % (3587641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.67 % (3587641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.67 % (3587641)CaDiCaL version: 2.1.3
% 2.56/0.67 % (3587641)Termination reason: Instruction limit
% 2.56/0.67 % (3587641)Termination phase: Saturation
% 2.56/0.67 % (3587641)Time elapsed: 0.010 s
% 2.56/0.67 % (3587641)Peak memory usage: 12 MB
% 2.56/0.67 % (3587641)Instructions burned: 35 (million)
% 2.56/0.67 % (3587634)Instruction limit reached!
% 2.56/0.67 % (3587634)------------------------------
% 2.56/0.67 % (3587634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.67 % (3587634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.67 % (3587634)CaDiCaL version: 2.1.3
% 2.56/0.67 % (3587634)Termination reason: Instruction limit
% 2.56/0.67 % (3587634)Termination phase: Saturation
% 2.56/0.67 % (3587634)Time elapsed: 0.034 s
% 2.56/0.67 % (3587634)Peak memory usage: 12 MB
% 2.56/0.67 % (3587634)Instructions burned: 67 (million)
% 2.56/0.67 % (3587637)Instruction limit reached!
% 2.56/0.67 % (3587637)------------------------------
% 2.56/0.67 % (3587637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.67 % (3587637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.67 % (3587637)CaDiCaL version: 2.1.3
% 2.56/0.67 % (3587637)Termination reason: Instruction limit
% 2.56/0.67 % (3587637)Termination phase: Saturation
% 2.56/0.67 % (3587637)Time elapsed: 0.017 s
% 2.56/0.67 % (3587637)Peak memory usage: 12 MB
% 2.56/0.67 % (3587637)Instructions burned: 31 (million)
% 2.56/0.67 % (3587645)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3892097977:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/67Mi)
% 2.56/0.67 % (3587645)Refutation not found, incomplete strategy
% 2.56/0.67 % (3587645)------------------------------
% 2.56/0.67 % (3587645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.67 % (3587645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.67 % (3587645)CaDiCaL version: 2.1.3
% 2.56/0.67 % (3587645)Termination reason: Refutation not found, incomplete strategy
% 2.56/0.67 % (3587645)Time elapsed: 0.0000 s
% 2.56/0.67 % (3587645)Peak memory usage: 12 MB
% 2.56/0.67 % (3587645)Instructions burned: 1 (million)
% 2.56/0.67 % (3587645)------------------------------
% 2.56/0.67 % (3587645)------------------------------
% 2.56/0.67 % (3587646)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.56/0.67 % (3587646)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2292885836:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2997 on theBenchmark for (2997ds/180Mi)
% 2.56/0.67 % (3587649)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=50491942:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 2.56/0.67 % (3587647)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3161053725:st=2:i=246:sd=3:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/246Mi)
% 2.56/0.67 % (3587647)Refutation not found, incomplete strategy
% 2.56/0.67 % (3587647)------------------------------
% 2.56/0.67 % (3587647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.67 % (3587647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.67 % (3587647)CaDiCaL version: 2.1.3
% 2.56/0.67 % (3587647)Termination reason: Refutation not found, incomplete strategy
% 2.56/0.67 % (3587647)Time elapsed: 0.001 s
% 2.56/0.67 % (3587647)Peak memory usage: 11 MB
% 2.56/0.67 % (3587647)------------------------------
% 2.56/0.67 % (3587647)------------------------------
% 2.56/0.67 % (3587653)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2086085610:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 2.56/0.67 % (3587653)Refutation not found, incomplete strategy
% 2.56/0.67 % (3587653)------------------------------
% 2.56/0.67 % (3587653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.56/0.67 % (3587653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/0.67 % (3587653)CaDiCaL version: 2.1.3
% 2.56/0.67 % (3587653)Termination reason: Refutation not found, incomplete strategy
% 2.56/0.67 % (3587653)Time elapsed: 0.001 s
% 2.56/0.67 % (3587653)Peak memory usage: 11 MB
% 2.56/0.67 % (3587653)------------------------------
% 2.56/0.67 % (3587653)------------------------------
% 2.56/0.67 % (3587649)Instruction limit reached!
% 2.56/0.67 % (3587649)------------------------------
% 2.98/0.74 % (3587649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.74 % (3587649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.74 % (3587649)CaDiCaL version: 2.1.3
% 2.98/0.74 % (3587649)Termination reason: Instruction limit
% 2.98/0.74 % (3587649)Termination phase: Saturation
% 2.98/0.74 % (3587649)Time elapsed: 0.022 s
% 2.98/0.74 % (3587649)Peak memory usage: 12 MB
% 2.98/0.74 % (3587649)Instructions burned: 97 (million)
% 2.98/0.74 % (3587640)Instruction limit reached!
% 2.98/0.74 % (3587640)------------------------------
% 2.98/0.74 % (3587640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.74 % (3587640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.74 % (3587640)CaDiCaL version: 2.1.3
% 2.98/0.74 % (3587640)Termination reason: Instruction limit
% 2.98/0.74 % (3587640)Termination phase: Saturation
% 2.98/0.74 % (3587640)Time elapsed: 0.051 s
% 2.98/0.74 % (3587640)Peak memory usage: 12 MB
% 2.98/0.74 % (3587640)Instructions burned: 140 (million)
% 2.98/0.74 % (3587655)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2248016850:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/874Mi)
% 2.98/0.74 % (3587655)Refutation not found, incomplete strategy
% 2.98/0.74 % (3587655)------------------------------
% 2.98/0.74 % (3587655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.74 % (3587655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.74 % (3587655)CaDiCaL version: 2.1.3
% 2.98/0.74 % (3587655)Termination reason: Refutation not found, incomplete strategy
% 2.98/0.74 % (3587655)Time elapsed: 0.0000 s
% 2.98/0.74 % (3587655)Peak memory usage: 11 MB
% 2.98/0.74 % (3587655)------------------------------
% 2.98/0.74 % (3587655)------------------------------
% 2.98/0.74 % (3587656)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1898032133:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 2.98/0.74 % (3587656)Refutation not found, incomplete strategy
% 2.98/0.74 % (3587656)------------------------------
% 2.98/0.74 % (3587656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.74 % (3587656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.74 % (3587656)CaDiCaL version: 2.1.3
% 2.98/0.74 % (3587656)Termination reason: Refutation not found, incomplete strategy
% 2.98/0.74 % (3587656)Time elapsed: 0.001 s
% 2.98/0.74 % (3587656)Peak memory usage: 12 MB
% 2.98/0.74 % (3587656)------------------------------
% 2.98/0.74 % (3587656)------------------------------
% 2.98/0.74 % (3587657)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=731852602:st=1.5:i=130:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/130Mi)
% 2.98/0.74 % (3587657)Refutation not found, incomplete strategy
% 2.98/0.74 % (3587657)------------------------------
% 2.98/0.74 % (3587657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.74 % (3587657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.74 % (3587657)CaDiCaL version: 2.1.3
% 2.98/0.74 % (3587657)Termination reason: Refutation not found, incomplete strategy
% 2.98/0.74 % (3587657)Time elapsed: 0.001 s
% 2.98/0.74 % (3587657)Peak memory usage: 11 MB
% 2.98/0.74 % (3587657)Instructions burned: 1 (million)
% 2.98/0.74 % (3587657)------------------------------
% 2.98/0.74 % (3587657)------------------------------
% 2.98/0.74 % (3587659)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2238562539:i=44:ep=R:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/44Mi)
% 2.98/0.74 % (3587618)Instruction limit reached!
% 2.98/0.74 % (3587618)------------------------------
% 2.98/0.74 % (3587618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.74 % (3587618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.74 % (3587618)CaDiCaL version: 2.1.3
% 2.98/0.74 % (3587618)Termination reason: Instruction limit
% 2.98/0.74 % (3587618)Termination phase: Saturation
% 2.98/0.74 % (3587618)Time elapsed: 0.162 s
% 2.98/0.74 % (3587618)Peak memory usage: 13 MB
% 2.98/0.74 % (3587618)Instructions burned: 316 (million)
% 2.98/0.74 % (3587661)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=4205360881:s2a=on:i=571:nm=16:rtra=on_2996 on theBenchmark for (2996ds/571Mi)
% 2.98/0.74 % (3587661)Refutation not found, incomplete strategy
% 3.60/0.80 % (3587661)------------------------------
% 3.60/0.80 % (3587661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.60/0.80 % (3587661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/0.80 % (3587661)CaDiCaL version: 2.1.3
% 3.60/0.80 % (3587661)Termination reason: Refutation not found, incomplete strategy
% 3.60/0.80 % (3587661)Time elapsed: 0.0000 s
% 3.60/0.80 % (3587661)Peak memory usage: 11 MB
% 3.60/0.80 % (3587661)Instructions burned: 1 (million)
% 3.60/0.80 % (3587661)------------------------------
% 3.60/0.80 % (3587661)------------------------------
% 3.60/0.80 % (3587663)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2469396273:i=450:rtra=on:ixr=off:ntd=on_2996 on theBenchmark for (2996ds/450Mi)
% 3.60/0.80 % (3587667)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=3385398036:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2996 on theBenchmark for (2996ds/65Mi)
% 3.60/0.80 % (3587659)Instruction limit reached!
% 3.60/0.80 % (3587659)------------------------------
% 3.60/0.80 % (3587659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.60/0.80 % (3587659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/0.80 % (3587659)CaDiCaL version: 2.1.3
% 3.60/0.80 % (3587659)Termination reason: Instruction limit
% 3.60/0.80 % (3587659)Termination phase: Saturation
% 3.60/0.80 % (3587659)Time elapsed: 0.022 s
% 3.60/0.80 % (3587659)Peak memory usage: 12 MB
% 3.60/0.80 % (3587659)Instructions burned: 45 (million)
% 3.60/0.80 % (3587665)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=4156582567:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/95Mi)
% 3.60/0.80 % (3587646)Instruction limit reached!
% 3.60/0.80 % (3587646)------------------------------
% 3.60/0.80 % (3587646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.60/0.80 % (3587646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/0.80 % (3587646)CaDiCaL version: 2.1.3
% 3.60/0.80 % (3587646)Termination reason: Instruction limit
% 3.60/0.80 % (3587646)Termination phase: Saturation
% 3.60/0.80 % (3587646)Time elapsed: 0.081 s
% 3.60/0.80 % (3587646)Peak memory usage: 12 MB
% 3.60/0.80 % (3587646)Instructions burned: 182 (million)
% 3.60/0.80 % (3587667)Instruction limit reached!
% 3.60/0.80 % (3587667)------------------------------
% 3.60/0.80 % (3587667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.60/0.80 % (3587667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/0.80 % (3587667)CaDiCaL version: 2.1.3
% 3.60/0.80 % (3587667)Termination reason: Instruction limit
% 3.60/0.80 % (3587667)Termination phase: Saturation
% 3.60/0.80 % (3587667)Time elapsed: 0.017 s
% 3.60/0.80 % (3587667)Peak memory usage: 12 MB
% 3.60/0.80 % (3587667)Instructions burned: 68 (million)
% 3.60/0.80 % (3587671)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=690269338: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_2996 on theBenchmark for (2996ds/105Mi)
% 3.60/0.80 % (3587672)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=191000070:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2996 on theBenchmark for (2996ds/5755Mi)
% 3.60/0.80 % (3587673)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2246169491:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/375Mi)
% 3.60/0.80 % (3587673)Refutation not found, incomplete strategy
% 3.60/0.80 % (3587673)------------------------------
% 3.60/0.80 % (3587673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.60/0.80 % (3587673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/0.80 % (3587673)CaDiCaL version: 2.1.3
% 3.60/0.80 % (3587673)Termination reason: Refutation not found, incomplete strategy
% 3.60/0.80 % (3587673)Time elapsed: 0.0000 s
% 3.60/0.80 % (3587673)Peak memory usage: 11 MB
% 3.60/0.80 % (3587672)Refutation not found, incomplete strategy
% 3.60/0.80 % (3587672)------------------------------
% 3.60/0.80 % (3587672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.60/0.89 % (3587672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/0.89 % (3587672)CaDiCaL version: 2.1.3
% 3.60/0.89 % (3587672)Termination reason: Refutation not found, incomplete strategy
% 3.60/0.89 % (3587672)Time elapsed: 0.001 s
% 3.60/0.89 % (3587672)Peak memory usage: 12 MB
% 3.60/0.89 % (3587673)------------------------------
% 3.60/0.89 % (3587673)------------------------------
% 3.60/0.89 % (3587672)------------------------------
% 3.60/0.89 % (3587672)------------------------------
% 3.60/0.89 % (3587677)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3914928487:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/495Mi)
% 3.60/0.89 % (3587665)Instruction limit reached!
% 3.60/0.89 % (3587665)------------------------------
% 3.60/0.89 % (3587665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.60/0.89 % (3587665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/0.89 % (3587665)CaDiCaL version: 2.1.3
% 3.60/0.89 % (3587665)Termination reason: Instruction limit
% 3.60/0.89 % (3587665)Termination phase: Saturation
% 3.60/0.89 % (3587665)Time elapsed: 0.040 s
% 3.60/0.89 % (3587665)Peak memory usage: 12 MB
% 3.60/0.89 % (3587665)Instructions burned: 95 (million)
% 3.60/0.89 % (3587678)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=1140597443:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.60/0.89 % (3587680)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2572938497:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/91Mi)
% 3.60/0.89 % (3587678)Instruction limit reached!
% 3.60/0.89 % (3587678)------------------------------
% 3.60/0.89 % (3587678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.60/0.89 % (3587678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/0.89 % (3587678)CaDiCaL version: 2.1.3
% 3.60/0.89 % (3587678)Termination reason: Instruction limit
% 3.60/0.89 % (3587678)Termination phase: Saturation
% 3.60/0.89 % (3587678)Time elapsed: 0.018 s
% 3.60/0.89 % (3587678)Peak memory usage: 12 MB
% 3.60/0.89 % (3587678)Instructions burned: 35 (million)
% 3.60/0.89 % (3587671)Instruction limit reached!
% 3.60/0.89 % (3587671)------------------------------
% 3.60/0.89 % (3587671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.60/0.89 % (3587671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/0.89 % (3587671)CaDiCaL version: 2.1.3
% 3.60/0.89 % (3587671)Termination reason: Instruction limit
% 3.60/0.89 % (3587671)Termination phase: Saturation
% 3.60/0.89 % (3587671)Time elapsed: 0.055 s
% 3.60/0.89 % (3587671)Peak memory usage: 12 MB
% 3.60/0.89 % (3587671)Instructions burned: 105 (million)
% 3.60/0.89 % (3587683)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3526317420: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)
% 3.60/0.89 % (3587683)Refutation not found, incomplete strategy
% 3.60/0.89 % (3587683)------------------------------
% 3.60/0.89 % (3587683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.60/0.89 % (3587683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/0.89 % (3587683)CaDiCaL version: 2.1.3
% 3.60/0.89 % (3587683)Termination reason: Refutation not found, incomplete strategy
% 3.60/0.89 % (3587683)Time elapsed: 0.0000 s
% 3.60/0.89 % (3587683)Peak memory usage: 11 MB
% 3.60/0.89 % (3587683)------------------------------
% 3.60/0.89 % (3587683)------------------------------
% 3.60/0.89 % (3587684)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1476773504:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 3.60/0.89 % (3587680)Instruction limit reached!
% 3.60/0.89 % (3587680)------------------------------
% 3.60/0.89 % (3587680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.60/0.89 % (3587680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/0.89 % (3587680)CaDiCaL version: 2.1.3
% 3.60/0.89 % (3587680)Termination reason: Instruction limit
% 3.60/0.89 % (3587680)Termination phase: Saturation
% 3.60/0.89 % (3587680)Time elapsed: 0.039 s
% 3.60/0.89 % (3587680)Peak memory usage: 12 MB
% 3.60/0.89 % (3587680)Instructions burned: 92 (million)
% 4.21/0.94 % (3587686)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=3801038763:i=338:bd=all:ins=4:rtra=on_2995 on theBenchmark for (2995ds/338Mi)
% 4.21/0.94 % (3587684)Instruction limit reached!
% 4.21/0.94 % (3587684)------------------------------
% 4.21/0.94 % (3587684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.21/0.94 % (3587684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/0.94 % (3587684)CaDiCaL version: 2.1.3
% 4.21/0.94 % (3587684)Termination reason: Instruction limit
% 4.21/0.94 % (3587684)Termination phase: Saturation
% 4.21/0.94 % (3587684)Time elapsed: 0.011 s
% 4.21/0.94 % (3587684)Peak memory usage: 12 MB
% 4.21/0.94 % (3587684)Instructions burned: 22 (million)
% 4.21/0.94 % (3587688)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2171455802:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2995 on theBenchmark for (2995ds/28Mi)
% 4.21/0.94 % (3587690)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 4.21/0.94 % (3587688)Refutation not found, incomplete strategy
% 4.21/0.94 % (3587688)------------------------------
% 4.21/0.94 % (3587688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.21/0.94 % (3587688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/0.94 % (3587688)CaDiCaL version: 2.1.3
% 4.21/0.94 % (3587688)Termination reason: Refutation not found, incomplete strategy
% 4.21/0.94 % (3587688)Time elapsed: 0.001 s
% 4.21/0.94 % (3587688)Peak memory usage: 11 MB
% 4.21/0.94 % (3587688)------------------------------
% 4.21/0.94 % (3587688)------------------------------
% 4.21/0.94 % (3587690)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=315143395:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2995 on theBenchmark for (2995ds/137Mi)
% 4.21/0.94 % (3587692)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=1027730566:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2994 on theBenchmark for (2994ds/340Mi)
% 4.21/0.94 % (3587663)Instruction limit reached!
% 4.21/0.94 % (3587663)------------------------------
% 4.21/0.94 % (3587663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.21/0.94 % (3587663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/0.94 % (3587663)CaDiCaL version: 2.1.3
% 4.21/0.94 % (3587663)Termination reason: Instruction limit
% 4.21/0.94 % (3587663)Termination phase: Saturation
% 4.21/0.94 % (3587663)Time elapsed: 0.148 s
% 4.21/0.94 % (3587663)Peak memory usage: 12 MB
% 4.21/0.94 % (3587663)Instructions burned: 450 (million)
% 4.21/0.94 % (3587677)Instruction limit reached!
% 4.21/0.94 % (3587677)------------------------------
% 4.21/0.94 % (3587677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.21/0.94 % (3587677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/0.94 % (3587677)CaDiCaL version: 2.1.3
% 4.21/0.94 % (3587677)Termination reason: Instruction limit
% 4.21/0.94 % (3587677)Termination phase: Saturation
% 4.21/0.94 % (3587677)Time elapsed: 0.116 s
% 4.21/0.94 % (3587677)Peak memory usage: 13 MB
% 4.21/0.94 % (3587677)Instructions burned: 499 (million)
% 4.21/0.94 % (3587620)Instruction limit reached!
% 4.21/0.94 % (3587620)------------------------------
% 4.21/0.94 % (3587620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.21/0.94 % (3587620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/0.94 % (3587620)CaDiCaL version: 2.1.3
% 4.21/0.94 % (3587620)Termination reason: Instruction limit
% 4.21/0.94 % (3587620)Termination phase: Saturation
% 4.21/0.94 % (3587620)Time elapsed: 0.329 s
% 4.21/0.94 % (3587620)Peak memory usage: 13 MB
% 4.21/0.94 % (3587620)Instructions burned: 854 (million)
% 4.21/0.94 % (3587695)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3906898100:i=227:sd=1:bd=all:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/227Mi)
% 4.21/0.94 % (3587695)Refutation not found, incomplete strategy
% 4.21/0.94 % (3587695)------------------------------
% 4.21/0.94 % (3587695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.21/0.94 % (3587695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/0.94 % (3587695)CaDiCaL version: 2.1.3
% 4.21/0.98 % (3587695)Termination reason: Refutation not found, incomplete strategy
% 4.21/0.98 % (3587695)Time elapsed: 0.0000 s
% 4.21/0.98 % (3587695)Peak memory usage: 11 MB
% 4.21/0.98 % (3587695)------------------------------
% 4.21/0.98 % (3587695)------------------------------
% 4.21/0.98 % (3587696)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 4.21/0.98 % (3587696)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=4065474577:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/373Mi)
% 4.21/0.98 % (3587697)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=901669013:i=116:ep=RSTC:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/116Mi)
% 4.21/0.98 % (3587699)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1851959825:i=575:rtra=on_2994 on theBenchmark for (2994ds/575Mi)
% 4.21/0.98 % (3587699)Refutation not found, incomplete strategy
% 4.21/0.98 % (3587699)------------------------------
% 4.21/0.98 % (3587699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.21/0.98 % (3587699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/0.98 % (3587699)CaDiCaL version: 2.1.3
% 4.21/0.98 % (3587699)Termination reason: Refutation not found, incomplete strategy
% 4.21/0.98 % (3587699)Time elapsed: 0.001 s
% 4.21/0.98 % (3587699)Peak memory usage: 11 MB
% 4.21/0.98 % (3587699)Instructions burned: 1 (million)
% 4.21/0.98 % (3587699)------------------------------
% 4.21/0.98 % (3587699)------------------------------
% 4.21/0.98 % (3587690)Instruction limit reached!
% 4.21/0.98 % (3587690)------------------------------
% 4.21/0.98 % (3587690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.21/0.98 % (3587690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/0.98 % (3587690)CaDiCaL version: 2.1.3
% 4.21/0.98 % (3587690)Termination reason: Instruction limit
% 4.21/0.98 % (3587690)Termination phase: Saturation
% 4.21/0.98 % (3587690)Time elapsed: 0.059 s
% 4.21/0.98 % (3587690)Peak memory usage: 12 MB
% 4.21/0.98 % (3587690)Instructions burned: 137 (million)
% 4.21/0.98 % (3587703)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1572656350:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2994 on theBenchmark for (2994ds/270Mi)
% 4.21/0.98 % (3587704)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=496727379:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2994 on theBenchmark for (2994ds/9840Mi)
% 4.21/0.98 % (3587697)Instruction limit reached!
% 4.21/0.98 % (3587697)------------------------------
% 4.21/0.98 % (3587697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.21/0.98 % (3587697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/0.98 % (3587697)CaDiCaL version: 2.1.3
% 4.21/0.98 % (3587697)Termination reason: Instruction limit
% 4.21/0.98 % (3587697)Termination phase: Saturation
% 4.21/0.98 % (3587697)Time elapsed: 0.047 s
% 4.21/0.98 % (3587697)Peak memory usage: 12 MB
% 4.21/0.98 % (3587697)Instructions burned: 116 (million)
% 4.21/0.98 % (3587599)Instruction limit reached!
% 4.21/0.98 % (3587599)------------------------------
% 4.21/0.98 % (3587599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.21/0.98 % (3587599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/0.98 % (3587599)CaDiCaL version: 2.1.3
% 4.21/0.98 % (3587599)Termination reason: Instruction limit
% 4.21/0.98 % (3587599)Termination phase: Saturation
% 4.21/0.98 % (3587599)Time elapsed: 0.458 s
% 4.21/0.98 % (3587599)Peak memory usage: 13 MB
% 4.21/0.98 % (3587599)Instructions burned: 1243 (million)
% 4.21/0.98 % (3587707)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=2653778412:i=421:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/421Mi)
% 4.21/0.98 % (3587707)Refutation not found, incomplete strategy
% 4.21/0.98 % (3587707)------------------------------
% 4.21/0.98 % (3587707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.21/0.98 % (3587707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/0.98 % (3587707)CaDiCaL version: 2.1.3
% 4.21/1.01 % (3587707)Termination reason: Refutation not found, incomplete strategy
% 4.21/1.01 % (3587707)Time elapsed: 0.001 s
% 4.21/1.01 % (3587707)Peak memory usage: 11 MB
% 4.21/1.01 % (3587707)------------------------------
% 4.21/1.01 % (3587707)------------------------------
% 4.21/1.01 % (3587708)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
% 4.21/1.01 % (3587686)Instruction limit reached!
% 4.21/1.01 % (3587686)------------------------------
% 4.21/1.01 % (3587686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.21/1.01 % (3587686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.01 % (3587686)CaDiCaL version: 2.1.3
% 4.21/1.01 % (3587686)Termination reason: Instruction limit
% 4.21/1.01 % (3587686)Termination phase: Saturation
% 4.21/1.01 % (3587686)Time elapsed: 0.146 s
% 4.21/1.01 % (3587686)Peak memory usage: 14 MB
% 4.21/1.01 % (3587686)Instructions burned: 339 (million)
% 4.21/1.01 % (3587708)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=4048461887:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/270Mi)
% 4.21/1.01 % (3587696)Instruction limit reached!
% 4.21/1.01 % (3587696)------------------------------
% 4.21/1.01 % (3587696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.21/1.01 % (3587696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.01 % (3587696)CaDiCaL version: 2.1.3
% 4.21/1.01 % (3587696)Termination reason: Instruction limit
% 4.21/1.01 % (3587696)Termination phase: Saturation
% 4.21/1.01 % (3587696)Time elapsed: 0.094 s
% 4.21/1.01 % (3587696)Peak memory usage: 12 MB
% 4.21/1.01 % (3587696)Instructions burned: 374 (million)
% 4.21/1.01 % (3587710)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2089465508:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 4.21/1.01 % (3587711)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 4.21/1.01 % (3587711)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
% 4.21/1.01 % (3587713)dis+10_2_sil=128000:si=on:random_seed=2302580361:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2993 on theBenchmark for (2993ds/339Mi)
% 4.21/1.01 % (3587711)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=2015162608:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2993 on theBenchmark for (2993ds/1440Mi)
% 4.21/1.01 % (3587713)Refutation not found, incomplete strategy
% 4.21/1.01 % (3587713)------------------------------
% 4.21/1.01 % (3587713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.21/1.01 % (3587713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.01 % (3587713)CaDiCaL version: 2.1.3
% 4.21/1.01 % (3587713)Termination reason: Refutation not found, incomplete strategy
% 4.21/1.01 % (3587713)Time elapsed: 0.0000 s
% 4.21/1.01 % (3587713)Peak memory usage: 11 MB
% 4.21/1.01 % (3587713)------------------------------
% 4.21/1.01 % (3587713)------------------------------
% 4.21/1.01 % (3587710)Instruction limit reached!
% 4.21/1.01 % (3587710)------------------------------
% 4.21/1.01 % (3587710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.21/1.01 % (3587710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.01 % (3587710)CaDiCaL version: 2.1.3
% 4.21/1.01 % (3587710)Termination reason: Instruction limit
% 4.21/1.01 % (3587710)Termination phase: Saturation
% 4.21/1.01 % (3587710)Time elapsed: 0.016 s
% 4.21/1.01 % (3587710)Peak memory usage: 12 MB
% 4.21/1.01 % (3587710)Instructions burned: 31 (million)
% 4.21/1.01 % (3587717)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1325268411:i=111:add=on:fgj=on:rtra=on:fdi=1024_2993 on theBenchmark for (2993ds/111Mi)
% 4.21/1.01 % (3587692)Instruction limit reached!
% 4.21/1.01 % (3587692)------------------------------
% 4.21/1.01 % (3587692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.21/1.01 % (3587692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.10 % (3587692)CaDiCaL version: 2.1.3
% 5.45/1.10 % (3587692)Termination reason: Instruction limit
% 5.45/1.10 % (3587692)Termination phase: Saturation
% 5.45/1.10 % (3587692)Time elapsed: 0.153 s
% 5.45/1.10 % (3587692)Peak memory usage: 13 MB
% 5.45/1.10 % (3587692)Instructions burned: 340 (million)
% 5.45/1.10 % (3587718)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=1673632450:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2993 on theBenchmark for (2993ds/122Mi)
% 5.45/1.10 % (3587718)Refutation not found, incomplete strategy
% 5.45/1.10 % (3587718)------------------------------
% 5.45/1.10 % (3587718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.10 % (3587718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.10 % (3587718)CaDiCaL version: 2.1.3
% 5.45/1.10 % (3587718)Termination reason: Refutation not found, incomplete strategy
% 5.45/1.10 % (3587718)Time elapsed: 0.001 s
% 5.45/1.10 % (3587718)Peak memory usage: 11 MB
% 5.45/1.10 % (3587718)------------------------------
% 5.45/1.10 % (3587718)------------------------------
% 5.45/1.10 % (3587720)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=62740884:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/136Mi)
% 5.45/1.10 % (3587720)Refutation not found, incomplete strategy
% 5.45/1.10 % (3587720)------------------------------
% 5.45/1.10 % (3587720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.10 % (3587720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.10 % (3587720)CaDiCaL version: 2.1.3
% 5.45/1.10 % (3587720)Termination reason: Refutation not found, incomplete strategy
% 5.45/1.10 % (3587720)Time elapsed: 0.001 s
% 5.45/1.10 % (3587720)Peak memory usage: 11 MB
% 5.45/1.10 % (3587720)Instructions burned: 1 (million)
% 5.45/1.10 % (3587720)------------------------------
% 5.45/1.10 % (3587720)------------------------------
% 5.45/1.10 % (3587703)Instruction limit reached!
% 5.45/1.10 % (3587703)------------------------------
% 5.45/1.10 % (3587703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.10 % (3587703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.10 % (3587703)CaDiCaL version: 2.1.3
% 5.45/1.10 % (3587703)Termination reason: Instruction limit
% 5.45/1.10 % (3587703)Termination phase: Saturation
% 5.45/1.10 % (3587703)Time elapsed: 0.115 s
% 5.45/1.10 % (3587703)Peak memory usage: 12 MB
% 5.45/1.10 % (3587703)Instructions burned: 270 (million)
% 5.45/1.10 % (3587722)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2989358040:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2993 on theBenchmark for (2993ds/232Mi)
% 5.45/1.10 % (3587722)Refutation not found, incomplete strategy
% 5.45/1.10 % (3587722)------------------------------
% 5.45/1.10 % (3587722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.10 % (3587722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.45/1.10 % (3587722)CaDiCaL version: 2.1.3
% 5.45/1.10 % (3587722)Termination reason: Refutation not found, incomplete strategy
% 5.45/1.10 % (3587722)Time elapsed: 0.0000 s
% 5.45/1.10 % (3587722)Peak memory usage: 11 MB
% 5.45/1.10 % (3587722)------------------------------
% 5.45/1.10 % (3587722)------------------------------
% 5.45/1.10 % (3587725)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 5.45/1.10 % (3587724)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=3542929466:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/1254Mi)
% 5.45/1.10 % (3587725)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=1434055342:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2992 on theBenchmark for (2992ds/281Mi)
% 5.45/1.10 % (3587724)Refutation not found, incomplete strategy
% 5.45/1.10 % (3587724)------------------------------
% 5.45/1.10 % (3587724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.45/1.10 % (3587724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.21 % (3587724)CaDiCaL version: 2.1.3
% 6.52/1.21 % (3587724)Termination reason: Refutation not found, incomplete strategy
% 6.52/1.21 % (3587724)Time elapsed: 0.002 s
% 6.52/1.21 % (3587724)Peak memory usage: 11 MB
% 6.52/1.21 % (3587724)Instructions burned: 3 (million)
% 6.52/1.21 % (3587724)------------------------------
% 6.52/1.21 % (3587724)------------------------------
% 6.52/1.21 % (3587727)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3279241122:i=619:add=on:rtra=on_2992 on theBenchmark for (2992ds/619Mi)
% 6.52/1.21 % (3587727)Refutation not found, incomplete strategy
% 6.52/1.21 % (3587727)------------------------------
% 6.52/1.21 % (3587727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/1.21 % (3587727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.21 % (3587727)CaDiCaL version: 2.1.3
% 6.52/1.21 % (3587727)Termination reason: Refutation not found, incomplete strategy
% 6.52/1.21 % (3587727)Time elapsed: 0.002 s
% 6.52/1.21 % (3587727)Peak memory usage: 12 MB
% 6.52/1.21 % (3587727)Instructions burned: 2 (million)
% 6.52/1.21 % (3587717)Instruction limit reached!
% 6.52/1.21 % (3587717)------------------------------
% 6.52/1.21 % (3587717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/1.21 % (3587717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.21 % (3587717)CaDiCaL version: 2.1.3
% 6.52/1.21 % (3587717)Termination reason: Instruction limit
% 6.52/1.21 % (3587717)Termination phase: Saturation
% 6.52/1.21 % (3587717)Time elapsed: 0.052 s
% 6.52/1.21 % (3587717)Peak memory usage: 12 MB
% 6.52/1.21 % (3587717)Instructions burned: 112 (million)
% 6.52/1.21 % (3587727)------------------------------
% 6.52/1.21 % (3587727)------------------------------
% 6.52/1.21 % (3587730)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=1716453375:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/865Mi)
% 6.52/1.21 % (3587732)lrs+10_1_sil=128000:si=on:urr=on:random_seed=505091049:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/212Mi)
% 6.52/1.21 % (3587732)Refutation not found, incomplete strategy
% 6.52/1.21 % (3587732)------------------------------
% 6.52/1.21 % (3587732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/1.21 % (3587732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.21 % (3587732)CaDiCaL version: 2.1.3
% 6.52/1.21 % (3587732)Termination reason: Refutation not found, incomplete strategy
% 6.52/1.21 % (3587732)Time elapsed: 0.0000 s
% 6.52/1.21 % (3587732)Peak memory usage: 11 MB
% 6.52/1.21 % (3587732)------------------------------
% 6.52/1.21 % (3587732)------------------------------
% 6.52/1.21 % (3587733)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=2832669178:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 6.52/1.21 % (3587733)Refutation not found, incomplete strategy
% 6.52/1.21 % (3587733)------------------------------
% 6.52/1.21 % (3587733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/1.21 % (3587733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.21 % (3587733)CaDiCaL version: 2.1.3
% 6.52/1.21 % (3587733)Termination reason: Refutation not found, incomplete strategy
% 6.52/1.21 % (3587733)Time elapsed: 0.0000 s
% 6.52/1.21 % (3587733)Peak memory usage: 11 MB
% 6.52/1.21 % (3587733)------------------------------
% 6.52/1.21 % (3587733)------------------------------
% 6.52/1.21 % (3587708)Instruction limit reached!
% 6.52/1.21 % (3587708)------------------------------
% 6.52/1.21 % (3587708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.52/1.21 % (3587708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.52/1.21 % (3587708)CaDiCaL version: 2.1.3
% 6.52/1.21 % (3587708)Termination reason: Instruction limit
% 6.52/1.21 % (3587708)Termination phase: Saturation
% 6.52/1.21 % (3587708)Time elapsed: 0.108 s
% 6.52/1.21 % (3587708)Peak memory usage: 12 MB
% 6.52/1.21 % (3587708)Instructions burned: 270 (million)
% 6.52/1.21 % (3587736)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=59115437:st=1.5:i=346:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/346Mi)
% 6.52/1.21 % (3587736)Refutation not found, incomplete strategy
% 6.52/1.21 % (3587736)------------------------------
% 6.52/1.21 % (3587736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.47/1.43 % (3587736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.43 % (3587736)CaDiCaL version: 2.1.3
% 7.47/1.43 % (3587736)Termination reason: Refutation not found, incomplete strategy
% 7.47/1.43 % (3587736)Time elapsed: 0.001 s
% 7.47/1.43 % (3587736)Peak memory usage: 11 MB
% 7.47/1.43 % (3587736)Instructions burned: 1 (million)
% 7.47/1.43 % (3587736)------------------------------
% 7.47/1.43 % (3587736)------------------------------
% 7.47/1.43 % (3587741)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2127201053:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/387Mi)
% 7.47/1.43 % (3587738)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1652787107:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2992 on theBenchmark for (2992ds/152Mi)
% 7.47/1.43 % (3587741)Refutation not found, incomplete strategy
% 7.47/1.43 % (3587741)------------------------------
% 7.47/1.43 % (3587741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.47/1.43 % (3587741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.43 % (3587741)CaDiCaL version: 2.1.3
% 7.47/1.43 % (3587741)Termination reason: Refutation not found, incomplete strategy
% 7.47/1.43 % (3587741)Time elapsed: 0.0000 s
% 7.47/1.43 % (3587741)Peak memory usage: 11 MB
% 7.47/1.43 % (3587741)Instructions burned: 1 (million)
% 7.47/1.43 % (3587739)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=448556362:i=75:ep=R:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/75Mi)
% 7.47/1.43 % (3587741)------------------------------
% 7.47/1.43 % (3587741)------------------------------
% 7.47/1.43 % (3587745)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=4005061192:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2992 on theBenchmark for (2992ds/148Mi)
% 7.47/1.43 % (3587739)Instruction limit reached!
% 7.47/1.43 % (3587739)------------------------------
% 7.47/1.43 % (3587739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.47/1.43 % (3587739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.43 % (3587739)CaDiCaL version: 2.1.3
% 7.47/1.43 % (3587739)Termination reason: Instruction limit
% 7.47/1.43 % (3587739)Termination phase: Saturation
% 7.47/1.43 % (3587739)Time elapsed: 0.033 s
% 7.47/1.43 % (3587739)Peak memory usage: 12 MB
% 7.47/1.43 % (3587739)Instructions burned: 76 (million)
% 7.47/1.43 % (3587745)Instruction limit reached!
% 7.47/1.43 % (3587745)------------------------------
% 7.47/1.43 % (3587745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.47/1.43 % (3587745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.43 % (3587745)CaDiCaL version: 2.1.3
% 7.47/1.43 % (3587745)Termination reason: Instruction limit
% 7.47/1.43 % (3587745)Termination phase: Saturation
% 7.47/1.43 % (3587745)Time elapsed: 0.035 s
% 7.47/1.43 % (3587745)Peak memory usage: 12 MB
% 7.47/1.43 % (3587745)Instructions burned: 150 (million)
% 7.47/1.43 % (3587747)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=3652871183:i=161:piset=and:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/161Mi)
% 7.47/1.43 % (3587748)lrs+10_1_sil=128000:si=on:random_seed=4104256911:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/888Mi)
% 7.47/1.43 % (3587748)Refutation not found, incomplete strategy
% 7.47/1.43 % (3587748)------------------------------
% 7.47/1.43 % (3587748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.47/1.43 % (3587748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.47/1.43 % (3587748)CaDiCaL version: 2.1.3
% 7.47/1.43 % (3587748)Termination reason: Refutation not found, incomplete strategy
% 7.47/1.43 % (3587748)Time elapsed: 0.0000 s
% 7.47/1.43 % (3587748)Peak memory usage: 11 MB
% 7.47/1.43 % (3587748)------------------------------
% 7.47/1.43 % (3587748)------------------------------
% 7.47/1.43 % (3587751)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=131071903:i=136:add=on:ins=4:rtra=on:sup=off_2991 on theBenchmark for (2991ds/136Mi)
% 7.47/1.43 % (3587738)Instruction limit reached!
% 7.47/1.43 % (3587738)------------------------------
% 7.47/1.43 % (3587738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/1.54 % (3587738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.54 % (3587738)CaDiCaL version: 2.1.3
% 7.88/1.54 % (3587738)Termination reason: Instruction limit
% 7.88/1.54 % (3587738)Termination phase: Saturation
% 7.88/1.54 % (3587738)Time elapsed: 0.072 s
% 7.88/1.54 % (3587738)Peak memory usage: 12 MB
% 7.88/1.54 % (3587738)Instructions burned: 152 (million)
% 7.88/1.54 % (3587753)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=1381411347:i=88:s2at=3:nm=2:rtra=on:rawr=on_2991 on theBenchmark for (2991ds/88Mi)
% 7.88/1.54 % (3587725)Instruction limit reached!
% 7.88/1.54 % (3587725)------------------------------
% 7.88/1.54 % (3587725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/1.54 % (3587725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.54 % (3587725)CaDiCaL version: 2.1.3
% 7.88/1.54 % (3587725)Termination reason: Instruction limit
% 7.88/1.54 % (3587725)Termination phase: Saturation
% 7.88/1.54 % (3587725)Time elapsed: 0.146 s
% 7.88/1.54 % (3587725)Peak memory usage: 13 MB
% 7.88/1.54 % (3587725)Instructions burned: 282 (million)
% 7.88/1.54 % (3587751)Instruction limit reached!
% 7.88/1.54 % (3587751)------------------------------
% 7.88/1.54 % (3587751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/1.54 % (3587751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.54 % (3587751)CaDiCaL version: 2.1.3
% 7.88/1.54 % (3587751)Termination reason: Instruction limit
% 7.88/1.54 % (3587751)Termination phase: Saturation
% 7.88/1.54 % (3587751)Time elapsed: 0.033 s
% 7.88/1.54 % (3587751)Peak memory usage: 12 MB
% 7.88/1.54 % (3587751)Instructions burned: 137 (million)
% 7.88/1.54 % (3587756)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=835083077:i=2186:rtra=on:ixr=off_2991 on theBenchmark for (2991ds/2186Mi)
% 7.88/1.54 % (3587747)Instruction limit reached!
% 7.88/1.54 % (3587747)------------------------------
% 7.88/1.54 % (3587747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/1.54 % (3587747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.54 % (3587747)CaDiCaL version: 2.1.3
% 7.88/1.54 % (3587747)Termination reason: Instruction limit
% 7.88/1.54 % (3587747)Termination phase: Saturation
% 7.88/1.54 % (3587747)Time elapsed: 0.059 s
% 7.88/1.54 % (3587747)Peak memory usage: 12 MB
% 7.88/1.54 % (3587747)Instructions burned: 162 (million)
% 7.88/1.54 % (3587755)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1338231196:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2991 on theBenchmark for (2991ds/93Mi)
% 7.88/1.54 % (3587753)Instruction limit reached!
% 7.88/1.54 % (3587753)------------------------------
% 7.88/1.54 % (3587753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/1.54 % (3587753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.54 % (3587753)CaDiCaL version: 2.1.3
% 7.88/1.54 % (3587753)Termination reason: Instruction limit
% 7.88/1.54 % (3587753)Termination phase: Saturation
% 7.88/1.54 % (3587753)Time elapsed: 0.039 s
% 7.88/1.54 % (3587753)Peak memory usage: 12 MB
% 7.88/1.54 % (3587753)Instructions burned: 89 (million)
% 7.88/1.54 % (3587758)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3987871079:s2a=on:i=240:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/240Mi)
% 7.88/1.54 % (3587760)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=731709451:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/805Mi)
% 7.88/1.54 % (3587755)Instruction limit reached!
% 7.88/1.54 % (3587755)------------------------------
% 7.88/1.54 % (3587755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/1.54 % (3587755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/1.54 % (3587755)CaDiCaL version: 2.1.3
% 7.88/1.54 % (3587755)Termination reason: Instruction limit
% 7.88/1.54 % (3587755)Termination phase: Saturation
% 7.88/1.54 % (3587755)Time elapsed: 0.049 s
% 7.88/1.54 % (3587755)Peak memory usage: 12 MB
% 7.88/1.54 % (3587755)Instructions burned: 94 (million)
% 7.88/1.54 % (3587763)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 8.98/1.63 % (3587763)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=695277933:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2990 on theBenchmark for (2990ds/391Mi)
% 8.98/1.63 % (3587763)Refutation not found, incomplete strategy
% 8.98/1.63 % (3587763)------------------------------
% 8.98/1.63 % (3587763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/1.63 % (3587763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/1.63 % (3587763)CaDiCaL version: 2.1.3
% 8.98/1.63 % (3587763)Termination reason: Refutation not found, incomplete strategy
% 8.98/1.63 % (3587763)Time elapsed: 0.001 s
% 8.98/1.63 % (3587763)Peak memory usage: 11 MB
% 8.98/1.63 % (3587763)Instructions burned: 1 (million)
% 8.98/1.63 % (3587763)------------------------------
% 8.98/1.63 % (3587763)------------------------------
% 8.98/1.63 % (3587765)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1229784870:i=355:av=off:fsr=off:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/355Mi)
% 8.98/1.63 % (3587758)Instruction limit reached!
% 8.98/1.63 % (3587758)------------------------------
% 8.98/1.63 % (3587758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/1.63 % (3587758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/1.63 % (3587758)CaDiCaL version: 2.1.3
% 8.98/1.63 % (3587758)Termination reason: Instruction limit
% 8.98/1.63 % (3587758)Termination phase: Saturation
% 8.98/1.63 % (3587758)Time elapsed: 0.094 s
% 8.98/1.63 % (3587758)Peak memory usage: 12 MB
% 8.98/1.63 % (3587758)Instructions burned: 241 (million)
% 8.98/1.63 % (3587767)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=2865138815:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/314Mi)
% 8.98/1.63 % (3587767)Refutation not found, incomplete strategy
% 8.98/1.63 % (3587767)------------------------------
% 8.98/1.63 % (3587767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/1.63 % (3587767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/1.63 % (3587767)CaDiCaL version: 2.1.3
% 8.98/1.63 % (3587767)Termination reason: Refutation not found, incomplete strategy
% 8.98/1.63 % (3587767)Time elapsed: 0.001 s
% 8.98/1.63 % (3587767)Peak memory usage: 11 MB
% 8.98/1.63 % (3587767)------------------------------
% 8.98/1.63 % (3587767)------------------------------
% 8.98/1.63 % (3587769)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=944006502:s2a=on:i=251:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/251Mi)
% 8.98/1.63 % (3587765)Instruction limit reached!
% 8.98/1.63 % (3587765)------------------------------
% 8.98/1.63 % (3587765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/1.63 % (3587765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/1.63 % (3587765)CaDiCaL version: 2.1.3
% 8.98/1.63 % (3587765)Termination reason: Instruction limit
% 8.98/1.63 % (3587765)Termination phase: Saturation
% 8.98/1.63 % (3587765)Time elapsed: 0.157 s
% 8.98/1.63 % (3587765)Peak memory usage: 12 MB
% 8.98/1.63 % (3587765)Instructions burned: 356 (million)
% 8.98/1.63 % (3587769)Instruction limit reached!
% 8.98/1.63 % (3587769)------------------------------
% 8.98/1.63 % (3587769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.98/1.63 % (3587769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.98/1.63 % (3587769)CaDiCaL version: 2.1.3
% 8.98/1.63 % (3587769)Termination reason: Instruction limit
% 8.98/1.63 % (3587769)Termination phase: Saturation
% 8.98/1.63 % (3587769)Time elapsed: 0.112 s
% 8.98/1.63 % (3587769)Peak memory usage: 12 MB
% 8.98/1.63 % (3587769)Instructions burned: 252 (million)
% 8.98/1.63 % (3587771)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=332066336: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)
% 8.98/1.63 % (3587772)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3714166551:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2988 on theBenchmark for (2988ds/673Mi)
% 8.98/1.63 % (3587711)Instruction limit reached!
% 8.98/1.63 % (3587711)------------------------------
% 9.75/1.70 % (3587711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.75/1.70 % (3587711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/1.70 % (3587711)CaDiCaL version: 2.1.3
% 9.75/1.70 % (3587711)Termination reason: Instruction limit
% 9.75/1.70 % (3587711)Termination phase: Saturation
% 9.75/1.70 % (3587711)Time elapsed: 0.512 s
% 9.75/1.70 % (3587711)Peak memory usage: 13 MB
% 9.75/1.70 % (3587711)Instructions burned: 1441 (million)
% 9.75/1.70 % (3587775)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1785387562:i=116:ep=RSTC:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/116Mi)
% 9.75/1.70 % (3587730)Instruction limit reached!
% 9.75/1.70 % (3587730)------------------------------
% 9.75/1.70 % (3587730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.75/1.70 % (3587730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/1.70 % (3587730)CaDiCaL version: 2.1.3
% 9.75/1.70 % (3587730)Termination reason: Instruction limit
% 9.75/1.70 % (3587730)Termination phase: Saturation
% 9.75/1.70 % (3587730)Time elapsed: 0.449 s
% 9.75/1.70 % (3587730)Peak memory usage: 15 MB
% 9.75/1.70 % (3587730)Instructions burned: 867 (million)
% 9.75/1.70 % (3587777)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=900993191:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2988 on theBenchmark for (2988ds/270Mi)
% 9.75/1.70 % (3587775)Instruction limit reached!
% 9.75/1.70 % (3587775)------------------------------
% 9.75/1.70 % (3587775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.75/1.70 % (3587775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/1.70 % (3587775)CaDiCaL version: 2.1.3
% 9.75/1.70 % (3587775)Termination reason: Instruction limit
% 9.75/1.70 % (3587775)Termination phase: Saturation
% 9.75/1.70 % (3587775)Time elapsed: 0.046 s
% 9.75/1.70 % (3587775)Peak memory usage: 12 MB
% 9.75/1.70 % (3587775)Instructions burned: 118 (million)
% 9.75/1.70 % (3587760)Instruction limit reached!
% 9.75/1.70 % (3587760)------------------------------
% 9.75/1.70 % (3587760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.75/1.70 % (3587760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/1.70 % (3587760)CaDiCaL version: 2.1.3
% 9.75/1.70 % (3587760)Termination reason: Instruction limit
% 9.75/1.70 % (3587760)Termination phase: Saturation
% 9.75/1.70 % (3587760)Time elapsed: 0.330 s
% 9.75/1.70 % (3587760)Peak memory usage: 13 MB
% 9.75/1.70 % (3587760)Instructions burned: 805 (million)
% 9.75/1.70 % (3587779)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=3256660090: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_2987 on theBenchmark for (2987ds/30Mi)
% 9.75/1.70 % (3587780)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 9.75/1.70 % (3587780)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=682736644:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2987 on theBenchmark for (2987ds/39Mi)
% 9.75/1.70 % (3587779)Instruction limit reached!
% 9.75/1.70 % (3587779)------------------------------
% 9.75/1.70 % (3587779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.75/1.70 % (3587779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/1.70 % (3587779)CaDiCaL version: 2.1.3
% 9.75/1.70 % (3587779)Termination reason: Instruction limit
% 9.75/1.70 % (3587779)Termination phase: Saturation
% 9.75/1.70 % (3587779)Time elapsed: 0.014 s
% 9.75/1.70 % (3587779)Peak memory usage: 12 MB
% 9.75/1.70 % (3587779)Instructions burned: 31 (million)
% 9.75/1.70 % (3587783)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=166844041:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2987 on theBenchmark for (2987ds/365Mi)
% 9.75/1.70 % (3587780)Instruction limit reached!
% 9.75/1.70 % (3587780)------------------------------
% 9.75/1.70 % (3587780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.75/1.70 % (3587780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/1.70 % (3587780)CaDiCaL version: 2.1.3
% 9.75/1.70 % (3587780)Termination reason: Instruction limit
% 9.75/1.80 % (3587780)Termination phase: Saturation
% 9.75/1.80 % (3587780)Time elapsed: 0.021 s
% 9.75/1.80 % (3587780)Peak memory usage: 12 MB
% 9.75/1.80 % (3587780)Instructions burned: 40 (million)
% 9.75/1.80 % (3587785)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3393927216:i=158:av=off:rtra=on_2987 on theBenchmark for (2987ds/158Mi)
% 9.75/1.80 % (3587756)Instruction limit reached!
% 9.75/1.80 % (3587756)------------------------------
% 9.75/1.80 % (3587756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.75/1.80 % (3587756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/1.80 % (3587756)CaDiCaL version: 2.1.3
% 9.75/1.80 % (3587756)Termination reason: Instruction limit
% 9.75/1.80 % (3587756)Termination phase: Saturation
% 9.75/1.80 % (3587756)Time elapsed: 0.427 s
% 9.75/1.80 % (3587756)Peak memory usage: 13 MB
% 9.75/1.80 % (3587756)Instructions burned: 2191 (million)
% 9.75/1.80 % (3587787)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 9.75/1.80 % (3587787)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=2596970376:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/252Mi)
% 9.75/1.80 % (3587777)Instruction limit reached!
% 9.75/1.80 % (3587777)------------------------------
% 9.75/1.80 % (3587777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.75/1.80 % (3587777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/1.80 % (3587777)CaDiCaL version: 2.1.3
% 9.75/1.80 % (3587777)Termination reason: Instruction limit
% 9.75/1.80 % (3587777)Termination phase: Saturation
% 9.75/1.80 % (3587777)Time elapsed: 0.114 s
% 9.75/1.80 % (3587777)Peak memory usage: 12 MB
% 9.75/1.80 % (3587777)Instructions burned: 271 (million)
% 9.75/1.80 % (3587789)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=544361623:i=213:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/213Mi)
% 9.75/1.80 % (3587789)Refutation not found, incomplete strategy
% 9.75/1.80 % (3587789)------------------------------
% 9.75/1.80 % (3587789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.75/1.80 % (3587789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/1.80 % (3587789)CaDiCaL version: 2.1.3
% 9.75/1.80 % (3587789)Termination reason: Refutation not found, incomplete strategy
% 9.75/1.80 % (3587789)Time elapsed: 0.001 s
% 9.75/1.80 % (3587789)Peak memory usage: 11 MB
% 9.75/1.80 % (3587789)------------------------------
% 9.75/1.80 % (3587789)------------------------------
% 9.75/1.80 % (3587791)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=1499133897:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2986 on theBenchmark for (2986ds/160Mi)
% 9.75/1.80 % (3587791)Refutation not found, incomplete strategy
% 9.75/1.80 % (3587791)------------------------------
% 9.75/1.80 % (3587791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.75/1.80 % (3587791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/1.80 % (3587791)CaDiCaL version: 2.1.3
% 9.75/1.80 % (3587791)Termination reason: Refutation not found, incomplete strategy
% 9.75/1.80 % (3587791)Time elapsed: 0.001 s
% 9.75/1.80 % (3587791)Peak memory usage: 11 MB
% 9.75/1.80 % (3587791)Instructions burned: 1 (million)
% 9.75/1.80 % (3587791)------------------------------
% 9.75/1.80 % (3587791)------------------------------
% 9.75/1.80 % (3587785)Instruction limit reached!
% 9.75/1.80 % (3587785)------------------------------
% 9.75/1.80 % (3587785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.75/1.80 % (3587785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.75/1.80 % (3587785)CaDiCaL version: 2.1.3
% 9.75/1.80 % (3587785)Termination reason: Instruction limit
% 9.75/1.80 % (3587785)Termination phase: Saturation
% 9.75/1.80 % (3587785)Time elapsed: 0.064 s
% 9.75/1.80 % (3587785)Peak memory usage: 12 MB
% 9.75/1.80 % (3587785)Instructions burned: 158 (million)
% 9.75/1.80 % (3587787)Instruction limit reached!
% 9.75/1.80 % (3587787)------------------------------
% 9.75/1.80 % (3587787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.75/1.80 % (3587787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/1.89 % (3587787)CaDiCaL version: 2.1.3
% 10.07/1.89 % (3587787)Termination reason: Instruction limit
% 10.07/1.89 % (3587787)Termination phase: Saturation
% 10.07/1.89 % (3587787)Time elapsed: 0.053 s
% 10.07/1.89 % (3587787)Peak memory usage: 12 MB
% 10.07/1.89 % (3587787)Instructions burned: 252 (million)
% 10.07/1.89 % (3587795)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=62286824:s2a=on:i=386:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/386Mi)
% 10.07/1.89 % (3587793)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=4281359229:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/763Mi)
% 10.07/1.89 % (3587794)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 10.07/1.89 % (3587794)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=3449917711:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2986 on theBenchmark for (2986ds/237Mi)
% 10.07/1.89 % (3587794)Refutation not found, incomplete strategy
% 10.07/1.89 % (3587794)------------------------------
% 10.07/1.89 % (3587794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.07/1.89 % (3587794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/1.89 % (3587794)CaDiCaL version: 2.1.3
% 10.07/1.89 % (3587794)Termination reason: Refutation not found, incomplete strategy
% 10.07/1.89 % (3587794)Time elapsed: 0.0000 s
% 10.07/1.89 % (3587794)Peak memory usage: 11 MB
% 10.07/1.89 % (3587794)------------------------------
% 10.07/1.89 % (3587794)------------------------------
% 10.07/1.89 % (3587799)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=519796958:i=300:piset=and:nm=32:rtra=on_2986 on theBenchmark for (2986ds/300Mi)
% 10.07/1.89 % (3587772)Instruction limit reached!
% 10.07/1.89 % (3587772)------------------------------
% 10.07/1.89 % (3587772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.07/1.89 % (3587772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/1.89 % (3587772)CaDiCaL version: 2.1.3
% 10.07/1.89 % (3587772)Termination reason: Instruction limit
% 10.07/1.89 % (3587772)Termination phase: Saturation
% 10.07/1.89 % (3587772)Time elapsed: 0.257 s
% 10.07/1.89 % (3587772)Peak memory usage: 12 MB
% 10.07/1.89 % (3587772)Instructions burned: 675 (million)
% 10.07/1.89 % (3587783)Instruction limit reached!
% 10.07/1.89 % (3587783)------------------------------
% 10.07/1.89 % (3587783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.07/1.89 % (3587783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/1.89 % (3587783)CaDiCaL version: 2.1.3
% 10.07/1.89 % (3587783)Termination reason: Instruction limit
% 10.07/1.89 % (3587783)Termination phase: Saturation
% 10.07/1.89 % (3587783)Time elapsed: 0.138 s
% 10.07/1.89 % (3587783)Peak memory usage: 13 MB
% 10.07/1.89 % (3587783)Instructions burned: 365 (million)
% 10.07/1.89 % (3587801)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=2623655711:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/567Mi)
% 10.07/1.89 % (3587801)Refutation not found, incomplete strategy
% 10.07/1.89 % (3587801)------------------------------
% 10.07/1.89 % (3587801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.07/1.89 % (3587801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/1.89 % (3587801)CaDiCaL version: 2.1.3
% 10.07/1.89 % (3587801)Termination reason: Refutation not found, incomplete strategy
% 10.07/1.89 % (3587801)Time elapsed: 0.001 s
% 10.07/1.89 % (3587801)Peak memory usage: 11 MB
% 10.07/1.89 % (3587801)Instructions burned: 1 (million)
% 10.07/1.89 % (3587801)------------------------------
% 10.07/1.89 % (3587801)------------------------------
% 10.07/1.89 % (3587802)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=3245967565:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2985 on theBenchmark for (2985ds/379Mi)
% 10.07/1.89 % (3587802)Refutation not found, incomplete strategy
% 10.07/1.89 % (3587802)------------------------------
% 10.07/1.89 % (3587802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.07/1.89 % (3587802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/1.89 % (3587802)CaDiCaL version: 2.1.3
% 10.46/1.96 % (3587802)Termination reason: Refutation not found, incomplete strategy
% 10.46/1.96 % (3587802)Time elapsed: 0.001 s
% 10.46/1.96 % (3587802)Peak memory usage: 11 MB
% 10.46/1.96 % (3587802)------------------------------
% 10.46/1.96 % (3587802)------------------------------
% 10.46/1.96 % (3587804)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1327725382:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2985 on theBenchmark for (2985ds/429Mi)
% 10.46/1.96 % (3587806)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3963016411:i=478:bd=all:rtra=on_2985 on theBenchmark for (2985ds/478Mi)
% 10.46/1.96 % (3587806)Refutation not found, incomplete strategy
% 10.46/1.96 % (3587806)------------------------------
% 10.46/1.96 % (3587806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.46/1.96 % (3587806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/1.96 % (3587806)CaDiCaL version: 2.1.3
% 10.46/1.96 % (3587806)Termination reason: Refutation not found, incomplete strategy
% 10.46/1.96 % (3587806)Time elapsed: 0.001 s
% 10.46/1.96 % (3587806)Peak memory usage: 12 MB
% 10.46/1.96 % (3587806)Instructions burned: 1 (million)
% 10.46/1.96 % (3587806)------------------------------
% 10.46/1.96 % (3587806)------------------------------
% 10.46/1.96 % (3587795)Instruction limit reached!
% 10.46/1.96 % (3587795)------------------------------
% 10.46/1.96 % (3587795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.46/1.96 % (3587795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/1.96 % (3587795)CaDiCaL version: 2.1.3
% 10.46/1.96 % (3587795)Termination reason: Instruction limit
% 10.46/1.96 % (3587795)Termination phase: Saturation
% 10.46/1.96 % (3587795)Time elapsed: 0.095 s
% 10.46/1.96 % (3587795)Peak memory usage: 12 MB
% 10.46/1.96 % (3587795)Instructions burned: 390 (million)
% 10.46/1.96 % (3587809)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4160142240:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2985 on theBenchmark for (2985ds/445Mi)
% 10.46/1.96 % (3587810)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3935813541:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2985 on theBenchmark for (2985ds/71Mi)
% 10.46/1.96 % (3587810)Instruction limit reached!
% 10.46/1.96 % (3587810)------------------------------
% 10.46/1.96 % (3587810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.46/1.96 % (3587810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/1.96 % (3587810)CaDiCaL version: 2.1.3
% 10.46/1.96 % (3587810)Termination reason: Instruction limit
% 10.46/1.96 % (3587810)Termination phase: Saturation
% 10.46/1.96 % (3587810)Time elapsed: 0.020 s
% 10.46/1.96 % (3587810)Peak memory usage: 12 MB
% 10.46/1.96 % (3587810)Instructions burned: 73 (million)
% 10.46/1.96 % (3587813)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1145462560:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/302Mi)
% 10.46/1.96 % (3587813)Refutation not found, incomplete strategy
% 10.46/1.96 % (3587813)------------------------------
% 10.46/1.96 % (3587813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.46/1.96 % (3587813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/1.96 % (3587813)CaDiCaL version: 2.1.3
% 10.46/1.96 % (3587813)Termination reason: Refutation not found, incomplete strategy
% 10.46/1.96 % (3587813)Time elapsed: 0.0000 s
% 10.46/1.96 % (3587813)Peak memory usage: 11 MB
% 10.46/1.96 % (3587813)------------------------------
% 10.46/1.96 % (3587813)------------------------------
% 10.46/1.96 % (3587815)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=1437904802:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2984 on theBenchmark for (2984ds/4980Mi)
% 10.46/1.96 % (3587815)Refutation not found, incomplete strategy
% 10.46/1.96 % (3587815)------------------------------
% 10.46/1.96 % (3587815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.46/1.96 % (3587815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.46/1.96 % (3587815)CaDiCaL version: 2.1.3
% 10.46/1.96 % (3587815)Termination reason: Refutation not found, incomplete strategy
% 10.46/1.96 % (3587815)Time elapsed: 0.0000 s
% 10.46/1.96 % (3587815)Peak memory usage: 11 MB
% 10.46/1.96 % (3587815)------------------------------
% 10.46/1.96 % (3587815)------------------------------
% 10.46/1.96 % (3587817)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
% 13.18/2.16 % (3587817)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 13.18/2.16 % (3587817)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=890190767:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2984 on theBenchmark for (2984ds/100Mi)
% 13.18/2.16 % (3587799)Instruction limit reached!
% 13.18/2.16 % (3587799)------------------------------
% 13.18/2.16 % (3587799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.18/2.16 % (3587799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/2.16 % (3587799)CaDiCaL version: 2.1.3
% 13.18/2.16 % (3587799)Termination reason: Instruction limit
% 13.18/2.16 % (3587799)Termination phase: Saturation
% 13.18/2.16 % (3587799)Time elapsed: 0.131 s
% 13.18/2.16 % (3587799)Peak memory usage: 12 MB
% 13.18/2.16 % (3587799)Instructions burned: 301 (million)
% 13.18/2.16 % (3587819)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=1265099810:i=76:piset=equals:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/76Mi)
% 13.18/2.16 % (3587817)Instruction limit reached!
% 13.18/2.16 % (3587817)------------------------------
% 13.18/2.16 % (3587817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.18/2.16 % (3587817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/2.16 % (3587817)CaDiCaL version: 2.1.3
% 13.18/2.16 % (3587817)Termination reason: Instruction limit
% 13.18/2.16 % (3587817)Termination phase: Saturation
% 13.18/2.16 % (3587817)Time elapsed: 0.023 s
% 13.18/2.16 % (3587817)Peak memory usage: 12 MB
% 13.18/2.16 % (3587817)Instructions burned: 103 (million)
% 13.18/2.16 % (3587821)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=3428967901:i=289:rtra=on_2984 on theBenchmark for (2984ds/289Mi)
% 13.18/2.16 % (3587821)Refutation not found, incomplete strategy
% 13.18/2.16 % (3587821)------------------------------
% 13.18/2.16 % (3587821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.18/2.16 % (3587821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/2.16 % (3587821)CaDiCaL version: 2.1.3
% 13.18/2.16 % (3587821)Termination reason: Refutation not found, incomplete strategy
% 13.18/2.16 % (3587821)Time elapsed: 0.0000 s
% 13.18/2.16 % (3587821)Peak memory usage: 11 MB
% 13.18/2.16 % (3587821)Instructions burned: 1 (million)
% 13.18/2.16 % (3587821)------------------------------
% 13.18/2.16 % (3587821)------------------------------
% 13.18/2.16 % (3587823)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=2303436105:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2984 on theBenchmark for (2984ds/493Mi)
% 13.18/2.16 % (3587819)Instruction limit reached!
% 13.18/2.16 % (3587819)------------------------------
% 13.18/2.16 % (3587819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.18/2.16 % (3587819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/2.16 % (3587819)CaDiCaL version: 2.1.3
% 13.18/2.16 % (3587819)Termination reason: Instruction limit
% 13.18/2.16 % (3587819)Termination phase: Saturation
% 13.18/2.16 % (3587819)Time elapsed: 0.037 s
% 13.18/2.16 % (3587819)Peak memory usage: 12 MB
% 13.18/2.16 % (3587819)Instructions burned: 77 (million)
% 13.18/2.16 % (3587825)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=1981409531:cond=on:i=34:hud=10:nm=10:rtra=on_2984 on theBenchmark for (2984ds/34Mi)
% 13.18/2.16 % (3587825)Instruction limit reached!
% 13.18/2.16 % (3587825)------------------------------
% 13.18/2.16 % (3587825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.18/2.16 % (3587825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/2.16 % (3587825)CaDiCaL version: 2.1.3
% 13.18/2.16 % (3587825)Termination reason: Instruction limit
% 13.18/2.16 % (3587825)Termination phase: Saturation
% 13.18/2.16 % (3587825)Time elapsed: 0.018 s
% 13.18/2.16 % (3587825)Peak memory usage: 12 MB
% 13.18/2.16 % (3587825)Instructions burned: 35 (million)
% 13.58/2.25 % (3587793)Instruction limit reached!
% 13.58/2.25 % (3587793)------------------------------
% 13.58/2.25 % (3587793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.58/2.25 % (3587793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.58/2.25 % (3587793)CaDiCaL version: 2.1.3
% 13.58/2.25 % (3587793)Termination reason: Instruction limit
% 13.58/2.25 % (3587793)Termination phase: Saturation
% 13.58/2.25 % (3587793)Time elapsed: 0.257 s
% 13.58/2.25 % (3587793)Peak memory usage: 14 MB
% 13.58/2.25 % (3587793)Instructions burned: 764 (million)
% 13.58/2.25 % (3587827)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 13.58/2.25 % (3587827)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=3451710502:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2983 on theBenchmark for (2983ds/372Mi)
% 13.58/2.25 % (3587827)Refutation not found, incomplete strategy
% 13.58/2.25 % (3587827)------------------------------
% 13.58/2.25 % (3587827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.58/2.25 % (3587827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.58/2.25 % (3587827)CaDiCaL version: 2.1.3
% 13.58/2.25 % (3587827)Termination reason: Refutation not found, incomplete strategy
% 13.58/2.25 % (3587827)Time elapsed: 0.002 s
% 13.58/2.25 % (3587827)Peak memory usage: 11 MB
% 13.58/2.25 % (3587827)Instructions burned: 2 (million)
% 13.58/2.25 % (3587827)------------------------------
% 13.58/2.25 % (3587827)------------------------------
% 13.58/2.25 % (3587804)Instruction limit reached!
% 13.58/2.25 % (3587804)------------------------------
% 13.58/2.25 % (3587804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.58/2.25 % (3587804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.58/2.25 % (3587804)CaDiCaL version: 2.1.3
% 13.58/2.25 % (3587804)Termination reason: Instruction limit
% 13.58/2.25 % (3587804)Termination phase: Saturation
% 13.58/2.25 % (3587804)Time elapsed: 0.198 s
% 13.58/2.25 % (3587804)Peak memory usage: 13 MB
% 13.58/2.25 % (3587804)Instructions burned: 429 (million)
% 13.58/2.25 % (3587828)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=2587366786:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2983 on theBenchmark for (2983ds/670Mi)
% 13.58/2.25 % (3587830)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3204788262:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2983 on theBenchmark for (2983ds/647Mi)
% 13.58/2.25 % (3587830)Refutation not found, incomplete strategy
% 13.58/2.25 % (3587830)------------------------------
% 13.58/2.25 % (3587830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.58/2.25 % (3587830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.58/2.25 % (3587830)CaDiCaL version: 2.1.3
% 13.58/2.25 % (3587830)Termination reason: Refutation not found, incomplete strategy
% 13.58/2.25 % (3587830)Time elapsed: 0.001 s
% 13.58/2.25 % (3587830)Peak memory usage: 11 MB
% 13.58/2.25 % (3587830)------------------------------
% 13.58/2.25 % (3587830)------------------------------
% 13.58/2.25 % (3587832)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=648604630:i=857:add=off:kws=frequency:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/857Mi)
% 13.58/2.25 % (3587834)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=2325627934:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2983 on theBenchmark for (2983ds/693Mi)
% 13.58/2.25 % (3587823)Instruction limit reached!
% 13.58/2.25 % (3587823)------------------------------
% 13.58/2.25 % (3587823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.58/2.25 % (3587823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.58/2.25 % (3587823)CaDiCaL version: 2.1.3
% 13.58/2.25 % (3587823)Termination reason: Instruction limit
% 13.58/2.25 % (3587823)Termination phase: Saturation
% 13.58/2.25 % (3587823)Time elapsed: 0.109 s
% 13.58/2.25 % (3587823)Peak memory usage: 13 MB
% 13.58/2.25 % (3587823)Instructions burned: 493 (million)
% 13.58/2.25 % (3587837)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=2788863131:i=285:hud=10:bd=all:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/285Mi)
% 14.11/2.40 % (3587837)Refutation not found, incomplete strategy
% 14.11/2.40 % (3587837)------------------------------
% 14.11/2.40 % (3587837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.11/2.40 % (3587837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.11/2.40 % (3587837)CaDiCaL version: 2.1.3
% 14.11/2.40 % (3587837)Termination reason: Refutation not found, incomplete strategy
% 14.11/2.40 % (3587837)Time elapsed: 0.0000 s
% 14.11/2.40 % (3587837)Peak memory usage: 11 MB
% 14.11/2.40 % (3587837)Instructions burned: 1 (million)
% 14.11/2.40 % (3587837)------------------------------
% 14.11/2.40 % (3587837)------------------------------
% 14.11/2.40 % (3587809)Instruction limit reached!
% 14.11/2.40 % (3587809)------------------------------
% 14.11/2.40 % (3587809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.11/2.40 % (3587809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.11/2.40 % (3587809)CaDiCaL version: 2.1.3
% 14.11/2.40 % (3587809)Termination reason: Instruction limit
% 14.11/2.40 % (3587809)Termination phase: Saturation
% 14.11/2.40 % (3587809)Time elapsed: 0.224 s
% 14.11/2.40 % (3587809)Peak memory usage: 14 MB
% 14.11/2.40 % (3587809)Instructions burned: 446 (million)
% 14.11/2.40 % (3587839)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 14.11/2.40 % (3587839)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=2768499011:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2982 on theBenchmark for (2982ds/52Mi)
% 14.11/2.40 % (3587839)Instruction limit reached!
% 14.11/2.40 % (3587839)------------------------------
% 14.11/2.40 % (3587839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.11/2.40 % (3587839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.11/2.40 % (3587839)CaDiCaL version: 2.1.3
% 14.11/2.40 % (3587839)Termination reason: Instruction limit
% 14.11/2.40 % (3587839)Termination phase: Saturation
% 14.11/2.40 % (3587839)Time elapsed: 0.012 s
% 14.11/2.40 % (3587839)Peak memory usage: 12 MB
% 14.11/2.40 % (3587839)Instructions burned: 54 (million)
% 14.11/2.40 % (3587840)dis+10_1_si=on:random_seed=3976606916:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2982 on theBenchmark for (2982ds/407Mi)
% 14.11/2.40 % (3587840)Refutation not found, incomplete strategy
% 14.11/2.40 % (3587840)------------------------------
% 14.11/2.40 % (3587840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.11/2.40 % (3587840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.11/2.40 % (3587840)CaDiCaL version: 2.1.3
% 14.11/2.40 % (3587840)Termination reason: Refutation not found, incomplete strategy
% 14.11/2.40 % (3587840)Time elapsed: 0.001 s
% 14.11/2.40 % (3587840)Peak memory usage: 11 MB
% 14.11/2.40 % (3587840)------------------------------
% 14.11/2.40 % (3587840)------------------------------
% 14.11/2.40 % (3587842)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=2921045281:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/2240Mi)
% 14.11/2.40 % (3587844)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3971420035:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/336Mi)
% 14.11/2.40 % (3587844)Refutation not found, incomplete strategy
% 14.11/2.40 % (3587844)------------------------------
% 14.11/2.40 % (3587844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.11/2.40 % (3587844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.11/2.40 % (3587844)CaDiCaL version: 2.1.3
% 14.11/2.40 % (3587844)Termination reason: Refutation not found, incomplete strategy
% 14.11/2.40 % (3587844)Time elapsed: 0.0000 s
% 14.11/2.40 % (3587844)Peak memory usage: 11 MB
% 14.11/2.40 % (3587844)------------------------------
% 14.11/2.40 % (3587844)------------------------------
% 14.11/2.40 % (3587847)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=2427204460:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2982 on theBenchmark for (2982ds/1142Mi)
% 14.11/2.40 % (3587828)Instruction limit reached!
% 14.11/2.40 % (3587828)------------------------------
% 14.11/2.40 % (3587828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.75/2.65 % (3587828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.75/2.65 % (3587828)CaDiCaL version: 2.1.3
% 15.75/2.65 % (3587828)Termination reason: Instruction limit
% 15.75/2.65 % (3587828)Termination phase: Saturation
% 15.75/2.65 % (3587828)Time elapsed: 0.243 s
% 15.75/2.65 % (3587828)Peak memory usage: 12 MB
% 15.75/2.65 % (3587828)Instructions burned: 671 (million)
% 15.75/2.65 % (3587849)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=65256739:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2980 on theBenchmark for (2980ds/376Mi)
% 15.75/2.65 % (3587849)Refutation not found, incomplete strategy
% 15.75/2.65 % (3587849)------------------------------
% 15.75/2.65 % (3587849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.75/2.65 % (3587849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.75/2.65 % (3587849)CaDiCaL version: 2.1.3
% 15.75/2.65 % (3587849)Termination reason: Refutation not found, incomplete strategy
% 15.75/2.65 % (3587849)Time elapsed: 0.001 s
% 15.75/2.65 % (3587849)Peak memory usage: 11 MB
% 15.75/2.65 % (3587849)------------------------------
% 15.75/2.65 % (3587849)------------------------------
% 15.75/2.65 % (3587851)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=1881555294:i=766:bd=all:rtra=on_2980 on theBenchmark for (2980ds/766Mi)
% 15.75/2.65 % (3587851)Refutation not found, incomplete strategy
% 15.75/2.65 % (3587851)------------------------------
% 15.75/2.65 % (3587851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.75/2.65 % (3587851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.75/2.65 % (3587851)CaDiCaL version: 2.1.3
% 15.75/2.65 % (3587851)Termination reason: Refutation not found, incomplete strategy
% 15.75/2.65 % (3587851)Time elapsed: 0.001 s
% 15.75/2.65 % (3587851)Peak memory usage: 12 MB
% 15.75/2.65 % (3587851)Instructions burned: 1 (million)
% 15.75/2.65 % (3587851)------------------------------
% 15.75/2.65 % (3587851)------------------------------
% 15.75/2.65 % (3587853)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 15.75/2.65 % (3587853)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=907456989: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_2980 on theBenchmark for (2980ds/959Mi)
% 15.75/2.65 % (3587853)Refutation not found, incomplete strategy
% 15.75/2.65 % (3587853)------------------------------
% 15.75/2.65 % (3587853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.75/2.65 % (3587853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.75/2.65 % (3587853)CaDiCaL version: 2.1.3
% 15.75/2.65 % (3587853)Termination reason: Refutation not found, incomplete strategy
% 15.75/2.65 % (3587853)Time elapsed: 0.0000 s
% 15.75/2.65 % (3587853)Peak memory usage: 12 MB
% 15.75/2.65 % (3587853)------------------------------
% 15.75/2.65 % (3587853)------------------------------
% 15.75/2.65 % (3587834)Instruction limit reached!
% 15.75/2.65 % (3587834)------------------------------
% 15.75/2.65 % (3587834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.75/2.65 % (3587834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.75/2.65 % (3587834)CaDiCaL version: 2.1.3
% 15.75/2.65 % (3587834)Termination reason: Instruction limit
% 15.75/2.65 % (3587834)Termination phase: Saturation
% 15.75/2.65 % (3587834)Time elapsed: 0.274 s
% 15.75/2.65 % (3587834)Peak memory usage: 12 MB
% 15.75/2.65 % (3587834)Instructions burned: 693 (million)
% 15.75/2.65 % (3587855)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=2432752271:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2980 on theBenchmark for (2980ds/6359Mi)
% 15.75/2.65 % (3587856)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=558793643:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2980 on theBenchmark for (2980ds/35Mi)
% 15.75/2.65 % (3587856)Refutation not found, incomplete strategy
% 15.75/2.65 % (3587856)------------------------------
% 15.75/2.65 % (3587856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.75/2.65 % (3587856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.75/2.65 % (3587856)CaDiCaL version: 2.1.3
% 15.75/2.69 % (3587856)Termination reason: Refutation not found, incomplete strategy
% 15.75/2.69 % (3587856)Time elapsed: 0.0000 s
% 15.75/2.69 % (3587856)Peak memory usage: 11 MB
% 15.75/2.69 % (3587856)------------------------------
% 15.75/2.69 % (3587856)------------------------------
% 15.75/2.69 % (3587832)Instruction limit reached!
% 15.75/2.69 % (3587832)------------------------------
% 15.75/2.69 % (3587832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.75/2.69 % (3587832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.75/2.69 % (3587832)CaDiCaL version: 2.1.3
% 15.75/2.69 % (3587832)Termination reason: Instruction limit
% 15.75/2.69 % (3587832)Termination phase: Saturation
% 15.75/2.69 % (3587832)Time elapsed: 0.317 s
% 15.75/2.69 % (3587832)Peak memory usage: 12 MB
% 15.75/2.69 % (3587832)Instructions burned: 857 (million)
% 15.75/2.69 % (3587859)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2609070040:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2980 on theBenchmark for (2980ds/53Mi)
% 15.75/2.69 % (3587860)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=3522992906:s2a=on:i=876:s2at=6:nm=2:rtra=on_2980 on theBenchmark for (2980ds/876Mi)
% 15.75/2.69 % (3587859)Instruction limit reached!
% 15.75/2.69 % (3587859)------------------------------
% 15.75/2.69 % (3587859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.75/2.69 % (3587859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.75/2.69 % (3587859)CaDiCaL version: 2.1.3
% 15.75/2.69 % (3587859)Termination reason: Instruction limit
% 15.75/2.69 % (3587859)Termination phase: Saturation
% 15.75/2.69 % (3587859)Time elapsed: 0.028 s
% 15.75/2.69 % (3587859)Peak memory usage: 12 MB
% 15.75/2.69 % (3587859)Instructions burned: 53 (million)
% 15.75/2.69 % (3587863)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3861934276:i=57:ep=R:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/57Mi)
% 15.75/2.69 % (3587863)Instruction limit reached!
% 15.75/2.69 % (3587863)------------------------------
% 15.75/2.69 % (3587863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.75/2.69 % (3587863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.75/2.69 % (3587863)CaDiCaL version: 2.1.3
% 15.75/2.69 % (3587863)Termination reason: Instruction limit
% 15.75/2.69 % (3587863)Termination phase: Saturation
% 15.75/2.69 % (3587863)Time elapsed: 0.028 s
% 15.75/2.69 % (3587863)Peak memory usage: 12 MB
% 15.75/2.69 % (3587863)Instructions burned: 58 (million)
% 15.75/2.69 % (3587865)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 15.75/2.69 % (3587865)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3914414634:i=306:bd=all:rtra=on_2979 on theBenchmark for (2979ds/306Mi)
% 15.75/2.69 % (3587865)Refutation not found, incomplete strategy
% 15.75/2.69 % (3587865)------------------------------
% 15.75/2.69 % (3587865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.75/2.69 % (3587865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.75/2.69 % (3587865)CaDiCaL version: 2.1.3
% 15.75/2.69 % (3587865)Termination reason: Refutation not found, incomplete strategy
% 15.75/2.69 % (3587865)Time elapsed: 0.001 s
% 15.75/2.69 % (3587865)Peak memory usage: 11 MB
% 15.75/2.69 % (3587865)Instructions burned: 1 (million)
% 15.75/2.69 % (3587865)------------------------------
% 15.75/2.69 % (3587865)------------------------------
% 15.75/2.69 % (3587867)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1486050625:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/262Mi)
% 15.75/2.69 % (3587867)Refutation not found, incomplete strategy
% 15.75/2.69 % (3587867)------------------------------
% 15.75/2.69 % (3587867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.75/2.69 % (3587867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.75/2.69 % (3587867)CaDiCaL version: 2.1.3
% 15.75/2.69 % (3587867)Termination reason: Refutation not found, incomplete strategy
% 15.75/2.69 % (3587867)Time elapsed: 0.001 s
% 15.75/2.69 % (3587867)Peak memory usage: 11 MB
% 15.75/2.69 % (3587867)------------------------------
% 15.75/2.69 % (3587867)------------------------------
% 15.75/2.69 % (3587869)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 16.76/2.76 % (3587869)ott+1002_16_sil=128000:si=on:random_seed=4258206993:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2978 on theBenchmark for (2978ds/409Mi)
% 16.76/2.76 % (3587847)Instruction limit reached!
% 16.76/2.76 % (3587847)------------------------------
% 16.76/2.76 % (3587847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.76/2.76 % (3587847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/2.76 % (3587847)CaDiCaL version: 2.1.3
% 16.76/2.76 % (3587847)Termination reason: Instruction limit
% 16.76/2.76 % (3587847)Termination phase: Saturation
% 16.76/2.76 % (3587847)Time elapsed: 0.457 s
% 16.76/2.76 % (3587847)Peak memory usage: 14 MB
% 16.76/2.76 % (3587847)Instructions burned: 1144 (million)
% 16.76/2.76 % (3587871)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=2685594747:s2a=on:i=381:rtra=on_2977 on theBenchmark for (2977ds/381Mi)
% 16.76/2.76 % (3587771)Instruction limit reached!
% 16.76/2.76 % (3587771)------------------------------
% 16.76/2.76 % (3587771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.76/2.76 % (3587771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/2.76 % (3587771)CaDiCaL version: 2.1.3
% 16.76/2.76 % (3587771)Termination reason: Instruction limit
% 16.76/2.76 % (3587771)Termination phase: Saturation
% 16.76/2.76 % (3587771)Time elapsed: 1.141 s
% 16.76/2.76 % (3587771)Peak memory usage: 17 MB
% 16.76/2.76 % (3587771)Instructions burned: 2471 (million)
% 16.76/2.76 % (3587869)Instruction limit reached!
% 16.76/2.76 % (3587869)------------------------------
% 16.76/2.76 % (3587869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.76/2.76 % (3587869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/2.76 % (3587869)CaDiCaL version: 2.1.3
% 16.76/2.76 % (3587869)Termination reason: Instruction limit
% 16.76/2.76 % (3587869)Termination phase: Saturation
% 16.76/2.76 % (3587869)Time elapsed: 0.157 s
% 16.76/2.76 % (3587869)Peak memory usage: 13 MB
% 16.76/2.76 % (3587869)Instructions burned: 409 (million)
% 16.76/2.76 % (3587873)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1347865457:cond=on:i=324:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/324Mi)
% 16.76/2.76 % (3587874)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=567901140:i=240:kws=inv_precedence:rtra=on_2976 on theBenchmark for (2976ds/240Mi)
% 16.76/2.76 % (3587874)Refutation not found, incomplete strategy
% 16.76/2.76 % (3587874)------------------------------
% 16.76/2.76 % (3587874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.76/2.76 % (3587874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/2.76 % (3587874)CaDiCaL version: 2.1.3
% 16.76/2.76 % (3587874)Termination reason: Refutation not found, incomplete strategy
% 16.76/2.76 % (3587874)Time elapsed: 0.001 s
% 16.76/2.76 % (3587874)Peak memory usage: 11 MB
% 16.76/2.76 % (3587874)Instructions burned: 1 (million)
% 16.76/2.76 % (3587874)------------------------------
% 16.76/2.76 % (3587874)------------------------------
% 16.76/2.76 % (3587877)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 16.76/2.76 % (3587877)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1062886556:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/124Mi)
% 16.76/2.76 % (3587842)Instruction limit reached!
% 16.76/2.76 % (3587842)------------------------------
% 16.76/2.76 % (3587842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.76/2.76 % (3587842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.76/2.76 % (3587842)CaDiCaL version: 2.1.3
% 16.76/2.76 % (3587842)Termination reason: Instruction limit
% 16.76/2.76 % (3587842)Termination phase: Saturation
% 16.76/2.76 % (3587842)Time elapsed: 0.607 s
% 16.76/2.76 % (3587842)Peak memory usage: 17 MB
% 16.76/2.76 % (3587842)Instructions burned: 2241 (million)
% 16.76/2.76 % (3587879)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=3175520865:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2976 on theBenchmark for (2976ds/223Mi)
% 16.76/2.76 % (3587877)Instruction limit reached!
% 16.76/2.76 % (3587877)------------------------------
% 16.76/2.76 % (3587877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.76/2.76 % (3587877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/2.91 % (3587877)CaDiCaL version: 2.1.3
% 17.49/2.91 % (3587877)Termination reason: Instruction limit
% 17.49/2.91 % (3587877)Termination phase: Saturation
% 17.49/2.91 % (3587877)Time elapsed: 0.048 s
% 17.49/2.91 % (3587877)Peak memory usage: 12 MB
% 17.49/2.91 % (3587877)Instructions burned: 125 (million)
% 17.49/2.91 % (3587860)Instruction limit reached!
% 17.49/2.91 % (3587860)------------------------------
% 17.49/2.91 % (3587860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.49/2.91 % (3587860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/2.91 % (3587860)CaDiCaL version: 2.1.3
% 17.49/2.91 % (3587860)Termination reason: Instruction limit
% 17.49/2.91 % (3587860)Termination phase: Saturation
% 17.49/2.91 % (3587860)Time elapsed: 0.376 s
% 17.49/2.91 % (3587860)Peak memory usage: 13 MB
% 17.49/2.91 % (3587860)Instructions burned: 876 (million)
% 17.49/2.91 % (3587879)Instruction limit reached!
% 17.49/2.91 % (3587879)------------------------------
% 17.49/2.91 % (3587879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.49/2.91 % (3587879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/2.91 % (3587879)CaDiCaL version: 2.1.3
% 17.49/2.91 % (3587879)Termination reason: Instruction limit
% 17.49/2.91 % (3587879)Termination phase: Saturation
% 17.49/2.91 % (3587879)Time elapsed: 0.042 s
% 17.49/2.91 % (3587879)Peak memory usage: 13 MB
% 17.49/2.91 % (3587879)Instructions burned: 226 (million)
% 17.49/2.91 % (3587881)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=141208881:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2976 on theBenchmark for (2976ds/282Mi)
% 17.49/2.91 % (3587882)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=3227228839:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/464Mi)
% 17.49/2.91 % (3587883)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=486099571:i=88:s2at=3:nm=2:rtra=on:rawr=on_2975 on theBenchmark for (2975ds/88Mi)
% 17.49/2.91 % (3587882)Refutation not found, incomplete strategy
% 17.49/2.91 % (3587882)------------------------------
% 17.49/2.91 % (3587882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.49/2.91 % (3587882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/2.91 % (3587882)CaDiCaL version: 2.1.3
% 17.49/2.91 % (3587882)Termination reason: Refutation not found, incomplete strategy
% 17.49/2.91 % (3587882)Time elapsed: 0.001 s
% 17.49/2.91 % (3587882)Peak memory usage: 11 MB
% 17.49/2.91 % (3587882)Instructions burned: 1 (million)
% 17.49/2.91 % (3587882)------------------------------
% 17.49/2.91 % (3587882)------------------------------
% 17.49/2.91 % (3587871)Instruction limit reached!
% 17.49/2.91 % (3587871)------------------------------
% 17.49/2.91 % (3587871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.49/2.91 % (3587871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/2.91 % (3587871)CaDiCaL version: 2.1.3
% 17.49/2.91 % (3587871)Termination reason: Instruction limit
% 17.49/2.91 % (3587871)Termination phase: Saturation
% 17.49/2.91 % (3587871)Time elapsed: 0.165 s
% 17.49/2.91 % (3587871)Peak memory usage: 12 MB
% 17.49/2.91 % (3587871)Instructions burned: 383 (million)
% 17.49/2.91 % (3587873)Instruction limit reached!
% 17.49/2.91 % (3587873)------------------------------
% 17.49/2.91 % (3587873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.49/2.91 % (3587873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.49/2.91 % (3587873)CaDiCaL version: 2.1.3
% 17.49/2.91 % (3587873)Termination reason: Instruction limit
% 17.49/2.91 % (3587873)Termination phase: Saturation
% 17.49/2.91 % (3587873)Time elapsed: 0.111 s
% 17.49/2.91 % (3587873)Peak memory usage: 12 MB
% 17.49/2.91 % (3587873)Instructions burned: 326 (million)
% 17.49/2.91 % (3587888)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 17.49/2.91 % (3587887)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1859131816:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2975 on theBenchmark for (2975ds/280Mi)
% 17.49/2.91 % (3587883)Instruction limit reached!
% 17.49/2.91 % (3587883)------------------------------
% 17.49/2.91 % (3587883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.49/2.91 % (3587883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.16 % (3587883)CaDiCaL version: 2.1.3
% 20.30/3.16 % (3587883)Termination reason: Instruction limit
% 20.30/3.16 % (3587883)Termination phase: Saturation
% 20.30/3.16 % (3587883)Time elapsed: 0.020 s
% 20.30/3.16 % (3587883)Peak memory usage: 12 MB
% 20.30/3.16 % (3587883)Instructions burned: 89 (million)
% 20.30/3.16 % (3587888)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2667658725:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/4386Mi)
% 20.30/3.16 % (3587889)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 20.30/3.16 % (3587889)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 20.30/3.16 % (3587891)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=366680760:i=73:rtra=on_2975 on theBenchmark for (2975ds/73Mi)
% 20.30/3.16 % (3587891)Refutation not found, incomplete strategy
% 20.30/3.16 % (3587891)------------------------------
% 20.30/3.16 % (3587891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.30/3.16 % (3587891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.16 % (3587891)CaDiCaL version: 2.1.3
% 20.30/3.16 % (3587891)Termination reason: Refutation not found, incomplete strategy
% 20.30/3.16 % (3587891)Time elapsed: 0.0000 s
% 20.30/3.16 % (3587891)Peak memory usage: 11 MB
% 20.30/3.16 % (3587891)Instructions burned: 1 (million)
% 20.30/3.16 % (3587891)------------------------------
% 20.30/3.16 % (3587891)------------------------------
% 20.30/3.16 % (3587889)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=1419885494:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2975 on theBenchmark for (2975ds/483Mi)
% 20.30/3.16 % (3587889)Refutation not found, incomplete strategy
% 20.30/3.16 % (3587889)------------------------------
% 20.30/3.16 % (3587889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.30/3.16 % (3587889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.16 % (3587889)CaDiCaL version: 2.1.3
% 20.30/3.16 % (3587889)Termination reason: Refutation not found, incomplete strategy
% 20.30/3.16 % (3587889)Time elapsed: 0.001 s
% 20.30/3.16 % (3587889)Peak memory usage: 12 MB
% 20.30/3.16 % (3587889)------------------------------
% 20.30/3.16 % (3587889)------------------------------
% 20.30/3.16 % (3587894)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1450446202:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2975 on theBenchmark for (2975ds/176Mi)
% 20.30/3.16 % (3587896)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 20.30/3.16 % (3587896)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3716272169:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2975 on theBenchmark for (2975ds/39Mi)
% 20.30/3.16 % (3587896)Instruction limit reached!
% 20.30/3.16 % (3587896)------------------------------
% 20.30/3.16 % (3587896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.30/3.16 % (3587896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.16 % (3587896)CaDiCaL version: 2.1.3
% 20.30/3.16 % (3587896)Termination reason: Instruction limit
% 20.30/3.16 % (3587896)Termination phase: Saturation
% 20.30/3.16 % (3587896)Time elapsed: 0.020 s
% 20.30/3.16 % (3587896)Peak memory usage: 12 MB
% 20.30/3.16 % (3587896)Instructions burned: 40 (million)
% 20.30/3.16 % (3587894)Instruction limit reached!
% 20.30/3.16 % (3587894)------------------------------
% 20.30/3.16 % (3587894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.30/3.16 % (3587894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.30/3.16 % (3587894)CaDiCaL version: 2.1.3
% 20.30/3.16 % (3587894)Termination reason: Instruction limit
% 20.30/3.16 % (3587894)Termination phase: Saturation
% 20.30/3.16 % (3587894)Time elapsed: 0.041 s
% 20.30/3.16 % (3587894)Peak memory usage: 12 MB
% 20.30/3.16 % (3587894)Instructions burned: 176 (million)
% 20.30/3.16 % (3587900)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 20.68/3.23 % (3587899)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3875747036:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2975 on theBenchmark for (2975ds/708Mi)
% 20.68/3.23 % (3587900)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=3131734346:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/252Mi)
% 20.68/3.23 % (3587881)Instruction limit reached!
% 20.68/3.23 % (3587881)------------------------------
% 20.68/3.23 % (3587881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.68/3.23 % (3587881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.23 % (3587881)CaDiCaL version: 2.1.3
% 20.68/3.23 % (3587881)Termination reason: Instruction limit
% 20.68/3.23 % (3587881)Termination phase: Saturation
% 20.68/3.23 % (3587881)Time elapsed: 0.130 s
% 20.68/3.23 % (3587881)Peak memory usage: 13 MB
% 20.68/3.23 % (3587881)Instructions burned: 284 (million)
% 20.68/3.23 % (3587903)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=2658097606:i=823:fsr=off:rtra=on_2974 on theBenchmark for (2974ds/823Mi)
% 20.68/3.23 % (3587900)Instruction limit reached!
% 20.68/3.23 % (3587900)------------------------------
% 20.68/3.23 % (3587900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.68/3.23 % (3587900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.23 % (3587900)CaDiCaL version: 2.1.3
% 20.68/3.23 % (3587900)Termination reason: Instruction limit
% 20.68/3.23 % (3587900)Termination phase: Saturation
% 20.68/3.23 % (3587900)Time elapsed: 0.053 s
% 20.68/3.23 % (3587900)Peak memory usage: 12 MB
% 20.68/3.23 % (3587900)Instructions burned: 253 (million)
% 20.68/3.23 % (3587905)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 20.68/3.23 % (3587905)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=3620302628:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/16202Mi)
% 20.68/3.23 % (3587905)Refutation not found, incomplete strategy
% 20.68/3.23 % (3587905)------------------------------
% 20.68/3.23 % (3587905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.68/3.23 % (3587905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.23 % (3587905)CaDiCaL version: 2.1.3
% 20.68/3.23 % (3587905)Termination reason: Refutation not found, incomplete strategy
% 20.68/3.23 % (3587905)Time elapsed: 0.0000 s
% 20.68/3.23 % (3587905)Peak memory usage: 11 MB
% 20.68/3.23 % (3587905)Instructions burned: 1 (million)
% 20.68/3.23 % (3587905)------------------------------
% 20.68/3.23 % (3587905)------------------------------
% 20.68/3.23 % (3587887)Instruction limit reached!
% 20.68/3.23 % (3587887)------------------------------
% 20.68/3.23 % (3587887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.68/3.23 % (3587887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.23 % (3587887)CaDiCaL version: 2.1.3
% 20.68/3.23 % (3587887)Termination reason: Instruction limit
% 20.68/3.23 % (3587887)Termination phase: Saturation
% 20.68/3.23 % (3587887)Time elapsed: 0.140 s
% 20.68/3.23 % (3587887)Peak memory usage: 12 MB
% 20.68/3.23 % (3587887)Instructions burned: 282 (million)
% 20.68/3.23 % (3587907)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=1875064172:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/300Mi)
% 20.68/3.23 % (3587908)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 20.68/3.23 % (3587908)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 20.68/3.23 % (3587908)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=3844372698:i=177:add=on:bd=preordered:rtra=on:rawr=on_2974 on theBenchmark for (2974ds/177Mi)
% 20.68/3.23 % (3587907)Instruction limit reached!
% 20.68/3.23 % (3587907)------------------------------
% 20.68/3.23 % (3587907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.68/3.23 % (3587907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.23 % (3587907)CaDiCaL version: 2.1.3
% 20.68/3.23 % (3587907)Termination reason: Instruction limit
% 20.68/3.30 % (3587907)Termination phase: Saturation
% 20.68/3.30 % (3587907)Time elapsed: 0.068 s
% 20.68/3.30 % (3587907)Peak memory usage: 12 MB
% 20.68/3.30 % (3587907)Instructions burned: 301 (million)
% 20.68/3.30 % (3587911)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=1914667131:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2973 on theBenchmark for (2973ds/715Mi)
% 20.68/3.30 % (3587911)Refutation not found, incomplete strategy
% 20.68/3.30 % (3587911)------------------------------
% 20.68/3.30 % (3587911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.68/3.30 % (3587911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.30 % (3587911)CaDiCaL version: 2.1.3
% 20.68/3.30 % (3587911)Termination reason: Refutation not found, incomplete strategy
% 20.68/3.30 % (3587911)Time elapsed: 0.0000 s
% 20.68/3.30 % (3587911)Peak memory usage: 11 MB
% 20.68/3.30 % (3587911)Instructions burned: 2 (million)
% 20.68/3.30 % (3587911)------------------------------
% 20.68/3.30 % (3587911)------------------------------
% 20.68/3.30 % (3587913)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 20.68/3.30 % (3587913)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 20.68/3.30 % (3587913)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=1286363646:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2973 on theBenchmark for (2973ds/230Mi)
% 20.68/3.30 % (3587913)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 20.68/3.30 % (3587908)Instruction limit reached!
% 20.68/3.30 % (3587908)------------------------------
% 20.68/3.30 % (3587908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.68/3.30 % (3587908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.30 % (3587908)CaDiCaL version: 2.1.3
% 20.68/3.30 % (3587908)Termination reason: Instruction limit
% 20.68/3.30 % (3587908)Termination phase: Saturation
% 20.68/3.30 % (3587908)Time elapsed: 0.082 s
% 20.68/3.30 % (3587908)Peak memory usage: 12 MB
% 20.68/3.30 % (3587908)Instructions burned: 177 (million)
% 20.68/3.30 % (3587915)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3384561939:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2973 on theBenchmark for (2973ds/606Mi)
% 20.68/3.30 % (3587913)Instruction limit reached!
% 20.68/3.30 % (3587913)------------------------------
% 20.68/3.30 % (3587913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.68/3.30 % (3587913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.30 % (3587913)CaDiCaL version: 2.1.3
% 20.68/3.30 % (3587913)Termination reason: Instruction limit
% 20.68/3.30 % (3587913)Termination phase: Saturation
% 20.68/3.30 % (3587913)Time elapsed: 0.055 s
% 20.68/3.30 % (3587913)Peak memory usage: 13 MB
% 20.68/3.30 % (3587913)Instructions burned: 230 (million)
% 20.68/3.30 % (3587917)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 20.68/3.30 % (3587917)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=3441014204:lrd=on:i=841:nm=0:rtra=on_2972 on theBenchmark for (2972ds/841Mi)
% 20.68/3.30 % (3587899)Instruction limit reached!
% 20.68/3.30 % (3587899)------------------------------
% 20.68/3.30 % (3587899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.68/3.30 % (3587899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.30 % (3587899)CaDiCaL version: 2.1.3
% 20.68/3.30 % (3587899)Termination reason: Instruction limit
% 20.68/3.30 % (3587899)Termination phase: Saturation
% 20.68/3.30 % (3587899)Time elapsed: 0.267 s
% 20.68/3.30 % (3587899)Peak memory usage: 13 MB
% 20.68/3.30 % (3587899)Instructions burned: 710 (million)
% 20.68/3.30 % (3587919)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1570168184:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2972 on theBenchmark for (2972ds/445Mi)
% 20.68/3.30 % (3587903)Instruction limit reached!
% 20.68/3.30 % (3587903)------------------------------
% 20.68/3.30 % (3587903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.68/3.30 % (3587903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/3.34 % (3587903)CaDiCaL version: 2.1.3
% 21.46/3.34 % (3587903)Termination reason: Instruction limit
% 21.46/3.34 % (3587903)Termination phase: Saturation
% 21.46/3.34 % (3587903)Time elapsed: 0.343 s
% 21.46/3.34 % (3587903)Peak memory usage: 13 MB
% 21.46/3.34 % (3587903)Instructions burned: 824 (million)
% 21.46/3.34 % (3587921)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=825357851:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2970 on theBenchmark for (2970ds/71Mi)
% 21.46/3.34 % (3587917)Instruction limit reached!
% 21.46/3.34 % (3587917)------------------------------
% 21.46/3.34 % (3587917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/3.34 % (3587917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/3.34 % (3587917)CaDiCaL version: 2.1.3
% 21.46/3.34 % (3587917)Termination reason: Instruction limit
% 21.46/3.34 % (3587917)Termination phase: Saturation
% 21.46/3.34 % (3587917)Time elapsed: 0.192 s
% 21.46/3.34 % (3587917)Peak memory usage: 13 MB
% 21.46/3.34 % (3587917)Instructions burned: 842 (million)
% 21.46/3.34 % (3587923)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
% 21.46/3.34 % (3587923)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 21.46/3.34 % (3587923)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1483615478:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2970 on theBenchmark for (2970ds/100Mi)
% 21.46/3.34 % (3587921)Instruction limit reached!
% 21.46/3.34 % (3587921)------------------------------
% 21.46/3.34 % (3587921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/3.34 % (3587921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/3.34 % (3587921)CaDiCaL version: 2.1.3
% 21.46/3.34 % (3587921)Termination reason: Instruction limit
% 21.46/3.34 % (3587921)Termination phase: Saturation
% 21.46/3.34 % (3587921)Time elapsed: 0.036 s
% 21.46/3.34 % (3587921)Peak memory usage: 12 MB
% 21.46/3.34 % (3587921)Instructions burned: 71 (million)
% 21.46/3.34 % (3587923)Instruction limit reached!
% 21.46/3.34 % (3587923)------------------------------
% 21.46/3.34 % (3587923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/3.34 % (3587923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/3.34 % (3587923)CaDiCaL version: 2.1.3
% 21.46/3.34 % (3587923)Termination reason: Instruction limit
% 21.46/3.34 % (3587923)Termination phase: Saturation
% 21.46/3.34 % (3587923)Time elapsed: 0.023 s
% 21.46/3.34 % (3587923)Peak memory usage: 12 MB
% 21.46/3.34 % (3587923)Instructions burned: 101 (million)
% 21.46/3.34 % (3587915)Instruction limit reached!
% 21.46/3.34 % (3587915)------------------------------
% 21.46/3.34 % (3587915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/3.34 % (3587915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/3.34 % (3587915)CaDiCaL version: 2.1.3
% 21.46/3.34 % (3587915)Termination reason: Instruction limit
% 21.46/3.34 % (3587915)Termination phase: Saturation
% 21.46/3.34 % (3587915)Time elapsed: 0.272 s
% 21.46/3.34 % (3587915)Peak memory usage: 12 MB
% 21.46/3.34 % (3587915)Instructions burned: 607 (million)
% 21.46/3.34 % (3587925)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 21.46/3.34 % (3587926)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=1007433981:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2970 on theBenchmark for (2970ds/646Mi)
% 21.46/3.34 % (3587925)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=264031556:i=1352:add=on:aac=none:rtra=on_2970 on theBenchmark for (2970ds/1352Mi)
% 21.46/3.34 % (3587925)Refutation not found, incomplete strategy
% 21.46/3.34 % (3587925)------------------------------
% 21.46/3.34 % (3587925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/3.34 % (3587925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/3.34 % (3587925)CaDiCaL version: 2.1.3
% 21.46/3.34 % (3587925)Termination reason: Refutation not found, incomplete strategy
% 21.46/3.34 % (3587925)Time elapsed: 0.002 s
% 21.46/3.34 % (3587925)Peak memory usage: 11 MB
% 21.46/3.34 % (3587925)Instructions burned: 3 (million)
% 21.46/3.34 % (3587925)------------------------------
% 21.46/3.34 % (3587925)------------------------------
% 21.46/3.34 % (3587927)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=2638092576:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2970 on theBenchmark for (2970ds/1924Mi)
% 21.46/3.34 % (3587927)Refutation not found, incomplete strategy
% 21.46/3.34 % (3587927)------------------------------
% 21.46/3.34 % (3587927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/3.34 % (3587927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/3.34 % (3587927)CaDiCaL version: 2.1.3
% 21.46/3.34 % (3587927)Termination reason: Refutation not found, incomplete strategy
% 21.46/3.34 % (3587927)Time elapsed: 0.0000 s
% 21.46/3.34 % (3587927)Peak memory usage: 11 MB
% 21.46/3.34 % (3587927)------------------------------
% 21.46/3.34 % (3587927)------------------------------
% 21.46/3.34 % (3587930)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2774636274:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2970 on theBenchmark for (2970ds/984Mi)
% 21.46/3.34 % (3587930)Refutation not found, incomplete strategy
% 21.46/3.34 % (3587930)------------------------------
% 21.46/3.34 % (3587930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/3.34 % (3587930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/3.34 % (3587930)CaDiCaL version: 2.1.3
% 21.46/3.34 % (3587930)Termination reason: Refutation not found, incomplete strategy
% 21.46/3.34 % (3587930)Time elapsed: 0.001 s
% 21.46/3.34 % (3587930)Peak memory usage: 11 MB
% 21.46/3.34 % (3587930)Instructions burned: 1 (million)
% 21.46/3.34 % (3587930)------------------------------
% 21.46/3.34 % (3587930)------------------------------
% 21.46/3.34 % (3587932)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=3861194296:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2970 on theBenchmark for (2970ds/592Mi)
% 21.46/3.34 % (3587934)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=423847749:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2969 on theBenchmark for (2969ds/872Mi)
% 21.46/3.34 % (3587919)Instruction limit reached!
% 21.46/3.34 % (3587919)------------------------------
% 21.46/3.34 % (3587919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/3.34 % (3587919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/3.34 % (3587919)CaDiCaL version: 2.1.3
% 21.46/3.34 % (3587919)Termination reason: Instruction limit
% 21.46/3.34 % (3587919)Termination phase: Saturation
% 21.46/3.34 % (3587919)Time elapsed: 0.226 s
% 21.46/3.34 % (3587919)Peak memory usage: 15 MB
% 21.46/3.34 % (3587919)Instructions burned: 446 (million)
% 21.46/3.34 % (3587934)Refutation not found, incomplete strategy
% 21.46/3.34 % (3587934)------------------------------
% 21.46/3.34 % (3587934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/3.34 % (3587934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/3.34 % (3587934)CaDiCaL version: 2.1.3
% 21.46/3.34 % (3587934)Termination reason: Refutation not found, incomplete strategy
% 21.46/3.34 % (3587934)Time elapsed: 0.001 s
% 21.46/3.34 % (3587934)Peak memory usage: 11 MB
% 21.46/3.34 % (3587934)------------------------------
% 21.46/3.34 % (3587934)------------------------------
% 21.46/3.34 % (3587937)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 21.46/3.34 % (3587938)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 21.46/3.34 % (3587937)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=1457875746:i=999:add=on:rtra=on_2969 on theBenchmark for (2969ds/999Mi)
% 21.46/3.34 % (3587938)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=976048814:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2969 on theBenchmark for (2969ds/244Mi)
% 21.46/3.34 % (3587938)Refutation not found, incomplete strategy
% 21.46/3.34 % (3587938)------------------------------
% 21.46/3.34 % (3587938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/3.34 % (3587938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/3.34 % (3587938)CaDiCaL version: 2.1.3
% 21.46/3.34 % (3587938)Termination reason: Refutation not found, incomplete strategy
% 21.46/3.34 % (3587938)Time elapsed: 0.002 s
% 21.46/3.34 % (3587938)Peak memory usage: 11 MB
% 21.46/3.34 % (3587938)Instructions burned: 2 (million)
% 21.46/3.34 % (3587938)------------------------------
% 21.46/3.34 % (3587938)------------------------------
% 21.46/3.34 % (3587855) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3587534-3587855"...
% 21.46/3.34 % (3587941)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=3866595641:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2969 on theBenchmark for (2969ds/113Mi)
% 21.46/3.34 % (3587941)Refutation not found, incomplete strategy
% 21.46/3.34 % (3587941)------------------------------
% 21.46/3.34 % (3587941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/3.34 % (3587941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/3.34 % (3587941)CaDiCaL version: 2.1.3
% 21.46/3.34 % (3587941)Termination reason: Refutation not found, incomplete strategy
% 21.46/3.34 % (3587941)Time elapsed: 0.001 s
% 21.46/3.34 % (3587941)Peak memory usage: 11 MB
% 21.46/3.34 % (3587941)Instructions burned: 1 (million)
% 21.46/3.34 % (3587941)------------------------------
% 21.46/3.34 % (3587941)------------------------------
% 21.46/3.34 % (3587855)...printing done.
% 21.46/3.34 % (3587855)Refutation found. Thanks to Tanya!
% 21.46/3.34 % SZS status Unsatisfiable for theBenchmark
% 21.46/3.34 % SZS output start Proof for theBenchmark
% See solution above
% 21.46/3.36 % (3587855)------------------------------
% 21.46/3.36 % (3587855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.46/3.36 % (3587855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.46/3.36 % (3587855)CaDiCaL version: 2.1.3
% 21.46/3.36 % (3587855)Termination reason: Refutation
% 21.46/3.36 % (3587855)Time elapsed: 1.090 s
% 21.46/3.36 % (3587855)Peak memory usage: 17 MB
% 21.46/3.36 % (3587855)Instructions burned: 2151 (million)
% 21.46/3.36 % (3587534)Success in time 3.082 s
% 21.46/3.36 % Vampire exiting
%------------------------------------------------------------------------------