%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA133^1 : 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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:56:35 AM UTC 2026
% Result : Unsatisfiable 30.37s 4.72s
% Output : Refutation 30.37s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% 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,
! [X1: $i,X0: $i] :
( ( b @ X0 @ X1 )
| ( r @ X0 @ X1 )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X3: $i,X1: $i,X0: $i,X2: $i] :
( ~ ( r @ X0 @ X3 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X1 @ X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X3: $i,X1: $i,X4: $i,X0: $i,X2: $i] :
( ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X3 @ X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i,X1: $i] :
( ( b @ X1 @ X0 )
| ( r @ X1 @ X0 )
| ( X0 = X1 ) ),
inference(rectify,[],[f5]) ).
thf(f9,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( X0 = X1 )
| ( $true
= ( b @ X1 @ X0 ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f11,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X1 @ X4 )
| ~ ( b @ X3 @ X1 )
| ~ ( b @ X4 @ X0 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X0 @ X2 ) ),
inference(rectify,[],[f7]) ).
thf(f13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X1 @ X4 ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X4 @ X0 ) )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f15,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X2 @ X0 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X2 @ X1 )
| ~ ( r @ X1 @ X0 ) ),
inference(rectify,[],[f6]) ).
thf(f17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X1 @ X3 )
!= $true )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X1 @ X0 ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f11]) ).
thf(f19,plain,
! [X3: $i,X0: $i,X2: $i,X4: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X4 @ X0 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X3 @ X4 )
!= $true )
| ( $true
!= ( b @ X1 @ X4 ) ) ),
inference(flattening,[],[f13]) ).
thf(f20,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f15]) ).
thf(f21,plain,
! [X0: $i,X2: $i,X1: $i,X3: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( ( r @ X1 @ X3 )
!= $true ) ),
inference(flattening,[],[f17]) ).
thf(f22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X0 @ X4 ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( $true
!= ( b @ X4 @ X3 ) ) ),
inference(rectify,[],[f19]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X2 @ X3 ) ) ),
inference(rectify,[],[f21]) ).
thf(f24,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f25,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f26,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f27,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X3 ) )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X4 ) )
| ( $true
!= ( b @ X3 @ X1 ) ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f28,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X3 ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f29,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f30,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ X1 @ X0 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f9]) ).
thf(f31,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f34,plain,
! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ z @ ( s @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f30,f31]) ).
thf(f35,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(extensionality_resolution,[],[f30,f31]) ).
thf(f36,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f30,f29]) ).
thf(f39,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( b @ X1 @ X3 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X3 @ X4 )
!= $true )
| ( X0 = X1 )
| ( $true
!= ( b @ X2 @ X0 ) ) ),
inference(constrained_superposition,[],[f27,f30]) ).
thf(f40,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( X0 = X1 )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f39]) ).
thf(f41,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ z @ X2 ) )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( b @ z @ ( s @ X0 ) )
= $true ) ),
inference(constrained_superposition,[],[f28,f34]) ).
thf(f42,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X2 ) )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) ),
inference(trivial_inequality_removal,[],[f41]) ).
thf(f44,definition,
( spl0_1
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f45,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ z @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f44]) ).
thf(f47,definition,
( spl0_2
<=> ! [X0: $i] :
( ( b @ z @ ( s @ X0 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f48,plain,
( ! [X0: $i] :
( ( b @ z @ ( s @ X0 ) )
= $true )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f47]) ).
thf(f49,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f42,f47,f44]) ).
thf(f50,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X2 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f27,f48]) ).
thf(f51,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X2 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f50]) ).
thf(f54,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f51,f35]) ).
thf(f56,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f54]) ).
thf(f59,definition,
( spl0_3
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f60,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X2 @ z ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f59]) ).
thf(f62,definition,
( spl0_4
<=> ! [X1: $i] :
( $true
!= ( b @ z @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f63,plain,
( ! [X1: $i] :
( $true
!= ( b @ z @ X1 ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f62]) ).
thf(f64,plain,
( spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f56,f47,f62,f59]) ).
thf(f66,definition,
( spl0_5
<=> ! [X2: $i,X3: $i] :
( ( $true
!= ( b @ z @ X2 ) )
| ( ( b @ X2 @ X3 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f67,plain,
( ! [X2: $i,X3: $i] :
( ( $true
!= ( b @ z @ X2 ) )
| ( ( b @ X2 @ X3 )
!= $true ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f66]) ).
thf(f73,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(extensionality_resolution,[],[f36,f31]) ).
thf(f74,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(extensionality_resolution,[],[f36,f31]) ).
thf(f75,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f36,f29]) ).
thf(f85,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ),
inference(constrained_superposition,[],[f27,f73]) ).
thf(f87,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f85]) ).
thf(f90,definition,
( spl0_6
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f91,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f90]) ).
thf(f93,definition,
( spl0_7
<=> ( $true
= ( r @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f94,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f93]) ).
thf(f97,definition,
( spl0_8
<=> ! [X2: $i,X3: $i] :
( ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f98,plain,
( ! [X2: $i,X3: $i] :
( ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f97]) ).
thf(f100,definition,
( spl0_9
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f101,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f100]) ).
thf(f102,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f87,f100,f97]) ).
thf(f104,definition,
( spl0_10
<=> ! [X1: $i] :
( $true
!= ( b @ ( s @ z ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f105,plain,
( ! [X1: $i] :
( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f104]) ).
thf(f111,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f63,f30]) ).
thf(f112,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f111]) ).
thf(f115,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f105,f35]) ).
thf(f118,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f115]) ).
thf(f121,plain,
( spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f118,f104,f93]) ).
thf(f124,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f45,f34]) ).
thf(f125,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( b @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f124]) ).
thf(f217,definition,
( spl0_12
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f218,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f217]) ).
thf(f226,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_7 ),
inference(avatar_component_clause,[],[f93]) ).
thf(f476,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(constrained_superposition,[],[f27,f74]) ).
thf(f478,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f476]) ).
thf(f487,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(extensionality_resolution,[],[f75,f31]) ).
thf(f488,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(extensionality_resolution,[],[f75,f31]) ).
thf(f499,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f27,f487]) ).
thf(f501,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f499]) ).
thf(f507,definition,
( spl0_21
<=> ! [X2: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
thf(f508,plain,
( ! [X2: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f507]) ).
thf(f511,definition,
( spl0_22
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f512,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f511]) ).
thf(f514,definition,
( spl0_23
<=> ! [X2: $i,X3: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f515,plain,
( ! [X2: $i,X3: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( ( b @ X2 @ X3 )
!= $true ) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f514]) ).
thf(f516,plain,
( spl0_22
| spl0_23 ),
inference(avatar_split_clause,[],[f501,f514,f511]) ).
thf(f518,definition,
( spl0_24
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f519,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f518]) ).
thf(f521,definition,
( spl0_25
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
thf(f522,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f521]) ).
thf(f537,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f28,f522]) ).
thf(f538,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f537]) ).
thf(f542,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f538,f522]) ).
thf(f543,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f542]) ).
thf(f545,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_25 ),
inference(constrained_superposition,[],[f543,f112]) ).
thf(f546,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f545]) ).
thf(f548,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f546,f31]) ).
thf(f550,plain,
( ( $true != $true )
| ( $true
= ( b @ z @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_25 ),
inference(constrained_superposition,[],[f548,f34]) ).
thf(f553,plain,
( ( $true
= ( b @ z @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f550]) ).
thf(f556,plain,
( $false
| ~ spl0_4
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f553,f63]) ).
thf(f557,plain,
( ~ spl0_4
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f556]) ).
thf(f558,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f519,f73]) ).
thf(f562,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f558]) ).
thf(f574,definition,
( spl0_26
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f575,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_26 ),
inference(avatar_component_clause,[],[f574]) ).
thf(f581,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_26 ),
inference(constrained_superposition,[],[f575,f36]) ).
thf(f584,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_26 ),
inference(trivial_inequality_removal,[],[f581]) ).
thf(f586,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f584,f31]) ).
thf(f588,definition,
( spl0_28
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f589,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f588]) ).
thf(f591,definition,
( spl0_29
<=> ( ( s @ ( s @ z ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f592,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f591]) ).
thf(f594,plain,
( spl0_28
| spl0_26 ),
inference(avatar_split_clause,[],[f586,f574,f588]) ).
thf(f597,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f28,f589]) ).
thf(f600,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f597]) ).
thf(f601,plain,
( spl0_12
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f600,f588,f217]) ).
thf(f602,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_12
| ~ spl0_28 ),
inference(constrained_superposition,[],[f218,f589]) ).
thf(f603,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f602]) ).
thf(f605,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_12
| ~ spl0_28 ),
inference(constrained_superposition,[],[f603,f112]) ).
thf(f607,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_12
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f605]) ).
thf(f610,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_12
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f607,f31]) ).
thf(f612,plain,
( ( $true
= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_12
| ~ spl0_28 ),
inference(constrained_superposition,[],[f610,f34]) ).
thf(f615,plain,
( ( $true
= ( b @ z @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_12
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f612]) ).
thf(f618,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f615,f63]) ).
thf(f619,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f618]) ).
thf(f622,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f28,f562]) ).
thf(f625,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f622]) ).
thf(f628,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f625,f28]) ).
thf(f630,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f628,f562]) ).
thf(f631,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f630]) ).
thf(f632,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_24 ),
inference(constrained_superposition,[],[f631,f34]) ).
thf(f635,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_24 ),
inference(trivial_inequality_removal,[],[f632]) ).
thf(f637,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_4
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f635,f63]) ).
thf(f639,definition,
( spl0_30
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f640,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f639]) ).
thf(f642,definition,
( spl0_31
<=> ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
thf(f643,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_31 ),
inference(avatar_component_clause,[],[f642]) ).
thf(f645,plain,
( ~ spl0_31
| spl0_30
| ~ spl0_4
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f637,f518,f62,f639,f642]) ).
thf(f646,plain,
( ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_31 ),
inference(constrained_superposition,[],[f643,f34]) ).
thf(f649,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_31 ),
inference(trivial_inequality_removal,[],[f646]) ).
thf(f652,plain,
( $false
| ~ spl0_4
| spl0_31 ),
inference(forward_subsumption_resolution,[],[f649,f63]) ).
thf(f653,plain,
( ~ spl0_4
| spl0_31 ),
inference(avatar_contradiction_clause,[],[f652]) ).
thf(f657,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) ) )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f28,f640]) ).
thf(f658,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f657]) ).
thf(f681,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f98,f74]) ).
thf(f682,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f98,f35]) ).
thf(f683,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f98,f36]) ).
thf(f685,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f682]) ).
thf(f687,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f681]) ).
thf(f688,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f683]) ).
thf(f689,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f687,f73]) ).
thf(f692,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f687,f35]) ).
thf(f696,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f689]) ).
thf(f700,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f692]) ).
thf(f702,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f658,f640]) ).
thf(f703,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f702]) ).
thf(f705,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_30 ),
inference(constrained_superposition,[],[f703,f112]) ).
thf(f706,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f705]) ).
thf(f708,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f706,f31]) ).
thf(f710,plain,
( ( $true
= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_30 ),
inference(constrained_superposition,[],[f708,f34]) ).
thf(f713,plain,
( ( $true
= ( b @ z @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f710]) ).
thf(f716,plain,
( $false
| ~ spl0_4
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f713,f63]) ).
thf(f717,plain,
( ~ spl0_4
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f716]) ).
thf(f742,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f688,f35]) ).
thf(f747,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ X0 )
= X1 )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f688,f30]) ).
thf(f748,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ X0 )
= X1 ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f747]) ).
thf(f749,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f742]) ).
thf(f791,definition,
( spl0_34
<=> ( $true
= ( r @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
thf(f792,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| spl0_34 ),
inference(avatar_component_clause,[],[f791]) ).
thf(f795,plain,
( ( $true != $true )
| ( $true
= ( b @ z @ ( s @ z ) ) )
| spl0_34 ),
inference(constrained_superposition,[],[f792,f34]) ).
thf(f798,plain,
( ( $true
= ( b @ z @ ( s @ z ) ) )
| spl0_34 ),
inference(trivial_inequality_removal,[],[f795]) ).
thf(f801,plain,
( $false
| ~ spl0_4
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f798,f63]) ).
thf(f802,plain,
( ~ spl0_4
| spl0_34 ),
inference(avatar_contradiction_clause,[],[f801]) ).
thf(f875,definition,
( spl0_35
<=> ! [X0: $i] :
( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f876,plain,
( ! [X0: $i] :
( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f875]) ).
thf(f880,plain,
( spl0_7
| spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f685,f97,f62,f93]) ).
thf(f881,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_7
| ~ spl0_12 ),
inference(constrained_superposition,[],[f218,f94]) ).
thf(f883,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_7
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f881]) ).
thf(f975,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( ( s @ X0 )
= X1 )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) ) )
| ~ spl0_1
| ~ spl0_8 ),
inference(constrained_superposition,[],[f125,f748]) ).
thf(f976,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_1
| ~ spl0_8 ),
inference(constrained_superposition,[],[f125,f749]) ).
thf(f981,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( ( s @ X0 )
= X1 )
| ( z = X0 ) )
| ~ spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f975]) ).
thf(f982,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f976]) ).
thf(f990,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( z = X0 )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= X1 ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f981,f94]) ).
thf(f991,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( z = X0 ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f982,f94]) ).
thf(f1009,definition,
( spl0_36
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f1010,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f1009]) ).
thf(f1015,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f28,f1010]) ).
thf(f1016,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f1015]) ).
thf(f1017,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f1016,f1010]) ).
thf(f1018,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f1017]) ).
thf(f1020,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_8
| ~ spl0_36 ),
inference(constrained_superposition,[],[f1018,f696]) ).
thf(f1032,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_8
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f1020]) ).
thf(f1037,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_8
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1032,f94]) ).
thf(f1040,definition,
( spl0_38
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f1041,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f1040]) ).
thf(f1044,plain,
( spl0_25
| ~ spl0_7
| ~ spl0_8
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1037,f1009,f97,f93,f521]) ).
thf(f1109,definition,
( spl0_40
<=> ( ( b @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
thf(f1110,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_40 ),
inference(avatar_component_clause,[],[f1109]) ).
thf(f1133,definition,
( spl0_41
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f1134,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f1133]) ).
thf(f1159,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_28 ),
inference(avatar_component_clause,[],[f588]) ).
thf(f1182,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_8
| spl0_28 ),
inference(constrained_superposition,[],[f1159,f696]) ).
thf(f1183,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_8
| spl0_28 ),
inference(constrained_superposition,[],[f1159,f700]) ).
thf(f1190,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_8
| spl0_28 ),
inference(trivial_inequality_removal,[],[f1182]) ).
thf(f1195,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_8
| spl0_28 ),
inference(trivial_inequality_removal,[],[f1183]) ).
thf(f1197,plain,
( spl0_25
| ~ spl0_8
| spl0_28 ),
inference(avatar_split_clause,[],[f1190,f588,f97,f521]) ).
thf(f1202,plain,
( spl0_36
| ~ spl0_8
| spl0_28 ),
inference(avatar_split_clause,[],[f1195,f588,f97,f1009]) ).
thf(f1216,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_12
| ~ spl0_28 ),
inference(constrained_superposition,[],[f218,f589]) ).
thf(f1219,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_28 ),
inference(constrained_superposition,[],[f125,f589]) ).
thf(f1221,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_1
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f1219]) ).
thf(f1224,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f1216]) ).
thf(f1226,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1221,f94]) ).
thf(f1236,definition,
( spl0_49
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
thf(f1237,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f1236]) ).
thf(f1243,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f1237,f74]) ).
thf(f1250,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f1243]) ).
thf(f1292,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(constrained_superposition,[],[f883,f990]) ).
thf(f1299,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( z = X0 ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1292]) ).
thf(f1303,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( z = X0 )
| ( ( b @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1299,f991]) ).
thf(f1304,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( z = X0 ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1303,f29]) ).
thf(f1307,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_22 ),
inference(constrained_superposition,[],[f512,f1304]) ).
thf(f1314,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1307]) ).
thf(f1319,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1314,f1226]) ).
thf(f1320,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1319,f31]) ).
thf(f1321,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28 ),
inference(constrained_superposition,[],[f1224,f1320]) ).
thf(f1325,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28 ),
inference(constrained_superposition,[],[f28,f1320]) ).
thf(f1328,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f1321]) ).
thf(f1329,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f1325]) ).
thf(f1344,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28 ),
inference(constrained_superposition,[],[f1329,f1320]) ).
thf(f1349,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f1344]) ).
thf(f1351,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28 ),
inference(constrained_superposition,[],[f1349,f696]) ).
thf(f1367,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f1351]) ).
thf(f1378,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1367,f589]) ).
thf(f1385,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1378,f1134]) ).
thf(f1386,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f1385]) ).
thf(f1392,plain,
( spl0_41
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1328,f588,f511,f217,f97,f93,f44,f1133]) ).
thf(f1394,definition,
( spl0_51
<=> ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
thf(f1395,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f1394]) ).
thf(f1400,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_51 ),
inference(avatar_component_clause,[],[f1394]) ).
thf(f1404,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_22 ),
inference(constrained_superposition,[],[f512,f48]) ).
thf(f1409,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1404]) ).
thf(f1416,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1409,f48]) ).
thf(f1432,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28 ),
inference(constrained_superposition,[],[f1224,f1416]) ).
thf(f1435,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) ) )
| ~ spl0_2
| ~ spl0_22 ),
inference(constrained_superposition,[],[f28,f1416]) ).
thf(f1437,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_2
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1435]) ).
thf(f1438,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f1432]) ).
thf(f1441,plain,
( spl0_41
| ~ spl0_2
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1438,f588,f511,f217,f47,f1133]) ).
thf(f1461,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_22 ),
inference(constrained_superposition,[],[f1437,f1416]) ).
thf(f1462,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1461]) ).
thf(f1464,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_22 ),
inference(constrained_superposition,[],[f1462,f696]) ).
thf(f1472,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f1464]) ).
thf(f1480,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_22
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1472,f589]) ).
thf(f1487,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_22
| ~ spl0_28
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1480,f1134]) ).
thf(f1488,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_22
| ~ spl0_28
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f1487]) ).
thf(f1496,plain,
( ~ spl0_40
| spl0_28
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f1250,f1236,f588,f1109]) ).
thf(f1497,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| spl0_40 ),
inference(constrained_superposition,[],[f1110,f35]) ).
thf(f1499,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_40 ),
inference(trivial_inequality_removal,[],[f1497]) ).
thf(f1513,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_7
| ~ spl0_12
| ~ spl0_25 ),
inference(constrained_superposition,[],[f883,f522]) ).
thf(f1516,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_7
| ~ spl0_12
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f1513]) ).
thf(f1517,plain,
( $false
| ~ spl0_7
| ~ spl0_12
| ~ spl0_25
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1516,f1010]) ).
thf(f1518,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_25
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f1517]) ).
thf(f1519,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_28 ),
inference(constrained_superposition,[],[f218,f589]) ).
thf(f1524,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f1519]) ).
thf(f1537,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f515,f73]) ).
thf(f1539,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f515,f35]) ).
thf(f1540,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f515,f36]) ).
thf(f1541,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f515,f30]) ).
thf(f1542,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f1537]) ).
thf(f1544,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f1541]) ).
thf(f1545,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f1540]) ).
thf(f1546,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f1539]) ).
thf(f1547,plain,
( ! [X0: $i] :
( $true
!= ( b @ z @ X0 ) )
| ~ spl0_7
| ~ spl0_12
| ~ spl0_23
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1546,f1516]) ).
thf(f1548,plain,
( spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_23
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f1547,f521,f514,f217,f93,f62]) ).
thf(f1549,plain,
( spl0_10
| spl0_25
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1542,f514,f521,f104]) ).
thf(f1550,plain,
( spl0_4
| spl0_36
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1546,f514,f1009,f62]) ).
thf(f1555,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f105,f74]) ).
thf(f1562,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f1555]) ).
thf(f1563,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f28,f1010]) ).
thf(f1564,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f1563]) ).
thf(f1569,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_28 ),
inference(constrained_superposition,[],[f1524,f34]) ).
thf(f1574,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f1569]) ).
thf(f1582,plain,
( ( $true != $true )
| ( $true
= ( b @ z @ ( s @ z ) ) )
| spl0_34 ),
inference(constrained_superposition,[],[f792,f34]) ).
thf(f1583,plain,
( ( $true
= ( b @ z @ ( s @ z ) ) )
| spl0_34 ),
inference(trivial_inequality_removal,[],[f1582]) ).
thf(f1588,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f45,f34]) ).
thf(f1589,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f1588]) ).
thf(f1592,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_1
| ~ spl0_10 ),
inference(constrained_superposition,[],[f1589,f1562]) ).
thf(f1593,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_1
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f1592]) ).
thf(f1597,plain,
( ! [X0: $i] :
( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f1593,f94]) ).
thf(f1598,plain,
( spl0_35
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1597,f104,f93,f44,f875]) ).
thf(f1609,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f1564,f1010]) ).
thf(f1610,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f1609]) ).
thf(f1612,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_28
| ~ spl0_36 ),
inference(constrained_superposition,[],[f1610,f589]) ).
thf(f1613,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_10
| ~ spl0_36 ),
inference(constrained_superposition,[],[f1610,f1562]) ).
thf(f1614,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_10
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f1613]) ).
thf(f1615,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_28
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f1612]) ).
thf(f1617,plain,
( $false
| ~ spl0_7
| ~ spl0_10
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1614,f94]) ).
thf(f1618,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f1617]) ).
thf(f1622,definition,
( spl0_54
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f1623,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f1622]) ).
thf(f1625,plain,
( ~ spl0_7
| ~ spl0_28
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1615,f1009,f588,f93]) ).
thf(f1627,plain,
( spl0_7
| spl0_40 ),
inference(avatar_split_clause,[],[f1499,f1109,f93]) ).
thf(f1633,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( b @ z @ ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_25 ),
inference(constrained_superposition,[],[f1589,f522]) ).
thf(f1637,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( b @ z @ ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f1633]) ).
thf(f1640,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_5
| ~ spl0_51 ),
inference(constrained_superposition,[],[f67,f1395]) ).
thf(f1642,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_5
| spl0_34 ),
inference(constrained_superposition,[],[f67,f1583]) ).
thf(f1646,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_5
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f1640]) ).
thf(f1648,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ~ spl0_5
| spl0_34 ),
inference(trivial_inequality_removal,[],[f1642]) ).
thf(f1650,plain,
( spl0_21
| ~ spl0_5
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f1646,f1394,f66,f507]) ).
thf(f1651,plain,
( spl0_10
| ~ spl0_5
| spl0_34 ),
inference(avatar_split_clause,[],[f1648,f791,f66,f104]) ).
thf(f1654,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f1623,f73]) ).
thf(f1658,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f1654]) ).
thf(f1660,plain,
( spl0_6
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f1658,f1622,f90]) ).
thf(f1661,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f91,f35]) ).
thf(f1664,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1661]) ).
thf(f1690,definition,
( spl0_56
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
thf(f1691,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f1690]) ).
thf(f1714,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f101,f487]) ).
thf(f1722,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f1714]) ).
thf(f1744,definition,
( spl0_57
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
thf(f1745,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f1744]) ).
thf(f1747,definition,
( spl0_58
<=> ( $true
= ( b @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
thf(f1748,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_58 ),
inference(avatar_component_clause,[],[f1747]) ).
thf(f1751,definition,
( spl0_59
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
thf(f1752,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f1751]) ).
thf(f1754,plain,
( ( $true
= ( b @ z @ ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_25
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1637,f1010]) ).
thf(f1757,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_1
| ~ spl0_25
| ~ spl0_36 ),
inference(constrained_superposition,[],[f27,f1754]) ).
thf(f1758,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_1
| ~ spl0_25
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f1757]) ).
thf(f1763,plain,
( ( $true != $true )
| ~ spl0_41
| ~ spl0_59 ),
inference(constrained_superposition,[],[f1134,f1752]) ).
thf(f1770,plain,
( $false
| ~ spl0_41
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f1763]) ).
thf(f1771,plain,
( ~ spl0_41
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[],[f1770]) ).
thf(f1790,plain,
( ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_31 ),
inference(constrained_superposition,[],[f643,f34]) ).
thf(f1791,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_31 ),
inference(trivial_inequality_removal,[],[f1790]) ).
thf(f1897,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f73,f592]) ).
thf(f1950,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1897,f26]) ).
thf(f1973,plain,
( $false
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1950,f25]) ).
thf(f1974,plain,
~ spl0_29,
inference(avatar_contradiction_clause,[],[f1973]) ).
thf(f1983,plain,
( spl0_54
| spl0_8
| ~ spl0_1
| ~ spl0_25
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1758,f1009,f521,f44,f97,f1622]) ).
thf(f1984,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f1623,f30]) ).
thf(f1985,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f1623,f36]) ).
thf(f1988,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f1985]) ).
thf(f1990,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f1984]) ).
thf(f1992,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f1990,f30]) ).
thf(f1993,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f1990,f35]) ).
thf(f1994,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f1992]) ).
thf(f1995,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f1993]) ).
thf(f1997,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f28,f1994]) ).
thf(f2001,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f1997]) ).
thf(f2005,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( z = X0 )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f2001,f28]) ).
thf(f2094,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f1988,f35]) ).
thf(f2097,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f2094]) ).
thf(f2102,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ X2 ) )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f28,f2097]) ).
thf(f2104,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f2102]) ).
thf(f2107,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( z = X0 )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f2104,f28]) ).
thf(f2114,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( z = X0 )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f2107,f2097]) ).
thf(f2120,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true ) )
| ~ spl0_54 ),
inference(duplicate_literal_removal,[],[f2114]) ).
thf(f2121,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f2120]) ).
thf(f2133,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f1544,f30]) ).
thf(f2150,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f2133]) ).
thf(f2179,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f508,f30]) ).
thf(f2184,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f2179]) ).
thf(f2185,plain,
( spl0_38
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f2184,f507,f1040]) ).
thf(f2187,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_25
| ~ spl0_36 ),
inference(constrained_superposition,[],[f67,f1754]) ).
thf(f2190,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_25
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f2187]) ).
thf(f2192,plain,
( spl0_10
| ~ spl0_1
| ~ spl0_5
| ~ spl0_25
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f2190,f1009,f521,f66,f44,f104]) ).
thf(f2193,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= X0 )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f60,f30]) ).
thf(f2194,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true != $true )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f60,f36]) ).
thf(f2204,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f2194]) ).
thf(f2207,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f2193]) ).
thf(f2413,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_12
| ~ spl0_56 ),
inference(constrained_superposition,[],[f218,f1691]) ).
thf(f2422,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_12
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f2413]) ).
thf(f2432,plain,
( spl0_57
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1664,f90,f1744]) ).
thf(f2452,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_57 ),
inference(constrained_superposition,[],[f28,f1745]) ).
thf(f2456,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f2452]) ).
thf(f2458,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f2456,f28]) ).
thf(f2674,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f1545,f35]) ).
thf(f2683,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f2674]) ).
thf(f2693,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_23
| ~ spl0_56 ),
inference(constrained_superposition,[],[f2422,f2683]) ).
thf(f2700,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_12
| ~ spl0_23
| ~ spl0_56 ),
inference(duplicate_literal_removal,[],[f2693]) ).
thf(f2701,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_12
| ~ spl0_23
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f2700]) ).
thf(f2704,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_23
| ~ spl0_25
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f2701,f522]) ).
thf(f2707,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_23
| ~ spl0_25
| ~ spl0_56
| ~ spl0_57 ),
inference(constrained_superposition,[],[f2458,f2704]) ).
thf(f2713,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_12
| ~ spl0_23
| ~ spl0_25
| ~ spl0_56
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f2707]) ).
thf(f2718,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ X0 ) )
= X1 ) )
| ~ spl0_12
| ~ spl0_23
| ~ spl0_25
| ~ spl0_56
| ~ spl0_57 ),
inference(constrained_superposition,[],[f2713,f2150]) ).
thf(f2723,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ ( s @ X0 ) )
= X1 ) )
| ~ spl0_12
| ~ spl0_23
| ~ spl0_25
| ~ spl0_56
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f2718]) ).
thf(f2724,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ X0 ) )
= X1 )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
= $true ) )
| ~ spl0_12
| ~ spl0_23
| ~ spl0_25
| ~ spl0_36
| ~ spl0_56
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f2723,f1010]) ).
thf(f2725,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
= $true )
| ( ( s @ ( s @ X0 ) )
= X1 )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_23
| ~ spl0_25
| ~ spl0_36
| ~ spl0_56
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f2724,f29]) ).
thf(f2744,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_23
| ~ spl0_25
| ~ spl0_36
| ~ spl0_56
| ~ spl0_57 ),
inference(constrained_superposition,[],[f1610,f2725]) ).
thf(f2755,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_23
| ~ spl0_25
| ~ spl0_36
| ~ spl0_56
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f2744]) ).
thf(f2764,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_23
| ~ spl0_25
| ~ spl0_36
| ~ spl0_56
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f2755,f29]) ).
thf(f2766,plain,
( ! [X0: $i] :
( ( s @ X0 )
= ( s @ z ) )
| ~ spl0_12
| ~ spl0_23
| ~ spl0_25
| ~ spl0_36
| ~ spl0_56
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f2764,f2704]) ).
thf(f2811,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_23
| ~ spl0_25
| ~ spl0_36
| ~ spl0_56
| ~ spl0_57 ),
inference(constrained_superposition,[],[f487,f2766]) ).
thf(f2932,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_23
| ~ spl0_25
| ~ spl0_36
| ~ spl0_56
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f2811,f25]) ).
thf(f2949,plain,
( $false
| ~ spl0_12
| ~ spl0_23
| ~ spl0_25
| ~ spl0_36
| ~ spl0_56
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f2932,f26]) ).
thf(f2950,plain,
( ~ spl0_12
| ~ spl0_23
| ~ spl0_25
| ~ spl0_36
| ~ spl0_56
| ~ spl0_57 ),
inference(avatar_contradiction_clause,[],[f2949]) ).
thf(f2956,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_9 ),
inference(constrained_superposition,[],[f101,f48]) ).
thf(f2967,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f2956]) ).
thf(f2968,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ~ spl0_2
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f2967,f48]) ).
thf(f2969,plain,
( spl0_59
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f2968,f100,f47,f1751]) ).
thf(f2970,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f1237,f30]) ).
thf(f2971,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f1237,f36]) ).
thf(f2977,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f2970]) ).
thf(f2982,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f2971]) ).
thf(f2984,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f45,f34]) ).
thf(f2985,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( b @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f2984]) ).
thf(f2987,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_28 ),
inference(constrained_superposition,[],[f2985,f589]) ).
thf(f2989,plain,
( ( $true
= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_25 ),
inference(constrained_superposition,[],[f2985,f522]) ).
thf(f2994,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( b @ z @ ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f2989]) ).
thf(f2997,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_1
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f2987]) ).
thf(f2998,plain,
( ( $true
= ( b @ z @ ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_25
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f2994,f1010]) ).
thf(f3016,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f2977,f30]) ).
thf(f3019,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f3016]) ).
thf(f3021,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_49 ),
inference(constrained_superposition,[],[f1524,f3019]) ).
thf(f3024,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f28,f3019]) ).
thf(f3029,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f3021]) ).
thf(f3032,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( z = X0 )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f3024]) ).
thf(f3038,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( z = X0 )
| ( $true
!= ( r @ X0 @ X2 ) ) )
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f3032,f28]) ).
thf(f3041,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_49
| ~ spl0_54 ),
inference(constrained_superposition,[],[f3029,f1994]) ).
thf(f3046,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_49
| ~ spl0_54 ),
inference(duplicate_literal_removal,[],[f3041]) ).
thf(f3047,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_49
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f3046]) ).
thf(f3087,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f2982,f35]) ).
thf(f3089,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f3087]) ).
thf(f3097,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_49 ),
inference(constrained_superposition,[],[f1524,f3089]) ).
thf(f3100,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X2 ) )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f28,f3089]) ).
thf(f3101,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f3097]) ).
thf(f3107,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X2 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f3100]) ).
thf(f3108,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f3107,f28]) ).
thf(f3119,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= z )
| ( ( s @ z )
= X0 )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_49
| ~ spl0_54 ),
inference(constrained_superposition,[],[f3108,f3047]) ).
thf(f3130,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X1 @ z )
!= $true )
| ( ( s @ X0 )
= z ) )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_49
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f3119]) ).
thf(f3134,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ X0 )
= z )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_49
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f3130,f29]) ).
thf(f3136,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_49
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f3134,f31]) ).
thf(f3137,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_49
| ~ spl0_57 ),
inference(constrained_superposition,[],[f3101,f1745]) ).
thf(f3144,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true ) )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_49
| ~ spl0_57 ),
inference(duplicate_literal_removal,[],[f3137]) ).
thf(f3145,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_49
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f3144]) ).
thf(f3204,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X2 ) ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f28,f1995]) ).
thf(f3212,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ X2 ) ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f3204]) ).
thf(f3216,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X2 ) )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f3212,f28]) ).
thf(f3255,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= z )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f2005,f34]) ).
thf(f3260,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= z )
| ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f3255]) ).
thf(f3265,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f3260,f31]) ).
thf(f3411,definition,
( spl0_67
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
thf(f3412,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( z = X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f3411]) ).
thf(f3442,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_28
| ~ spl0_67 ),
inference(constrained_superposition,[],[f3412,f589]) ).
thf(f3448,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_28
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f3442]) ).
thf(f3452,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_28
| ~ spl0_36
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f3448,f1610]) ).
thf(f3458,definition,
( spl0_69
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
thf(f3459,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f3458]) ).
thf(f3462,plain,
( spl0_69
| ~ spl0_28
| ~ spl0_36
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f3452,f3411,f1009,f588,f3458]) ).
thf(f3471,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true != $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f2207,f35]) ).
thf(f3472,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f3471]) ).
thf(f3503,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ X1 ) ) )
| ( z = X1 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_54
| ~ spl0_57 ),
inference(constrained_superposition,[],[f2121,f1745]) ).
thf(f3508,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ X1 ) ) )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_54
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f3503]) ).
thf(f3654,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_3 ),
inference(extensionality_resolution,[],[f2204,f31]) ).
thf(f3658,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f2204,f35]) ).
thf(f3660,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f3658]) ).
thf(f3663,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_3 ),
inference(extensionality_resolution,[],[f3660,f31]) ).
thf(f3664,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_3 ),
inference(extensionality_resolution,[],[f3660,f31]) ).
thf(f3688,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_28 ),
inference(constrained_superposition,[],[f1524,f3660]) ).
thf(f3693,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_56 ),
inference(constrained_superposition,[],[f2422,f3660]) ).
thf(f3701,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X2 @ X3 ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( $true
!= ( r @ ( s @ X0 ) @ X3 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ X2 @ ( s @ X0 ) ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f28,f3660]) ).
thf(f3709,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f3688]) ).
thf(f3713,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) ) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_56 ),
inference(duplicate_literal_removal,[],[f3693]) ).
thf(f3714,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) ) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f3713]) ).
thf(f3724,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ X0 ) ) )
| ( X0 = X1 )
| ( $true
!= ( r @ ( s @ X0 ) @ X3 ) )
| ( $true
!= ( r @ X2 @ X3 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f3701]) ).
thf(f3735,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X3 ) )
| ( $true
!= ( r @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X2 @ X3 ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 ) )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f3724,f28]) ).
thf(f4488,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f27,f488]) ).
thf(f4493,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f4488]) ).
thf(f4499,definition,
( spl0_78
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
thf(f4500,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_78 ),
inference(avatar_component_clause,[],[f4499]) ).
thf(f4504,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_78 ),
inference(constrained_superposition,[],[f4500,f30]) ).
thf(f4505,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_78 ),
inference(trivial_inequality_removal,[],[f4504]) ).
thf(f4744,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ X1 ) ) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_56
| ~ spl0_57 ),
inference(constrained_superposition,[],[f3714,f1745]) ).
thf(f4748,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_56 ),
inference(constrained_superposition,[],[f3714,f3660]) ).
thf(f4750,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_56 ),
inference(duplicate_literal_removal,[],[f4748]) ).
thf(f4751,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X1 )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) ) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_56 ),
inference(trivial_inequality_removal,[],[f4750]) ).
thf(f4754,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_56
| ~ spl0_57 ),
inference(duplicate_literal_removal,[],[f4744]) ).
thf(f4755,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ X1 ) ) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_56
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f4754]) ).
thf(f4763,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X1 )
= X0 )
| ( z = X0 ) )
| ~ spl0_3
| spl0_7
| ~ spl0_12
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f4751,f226]) ).
thf(f4905,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_3 ),
inference(extensionality_resolution,[],[f3735,f31]) ).
thf(f4980,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ X3 ) ) )
| ( $true
= ( r @ ( s @ X3 ) @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) ),
inference(extensionality_resolution,[],[f40,f31]) ).
thf(f4981,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X1 ) @ X2 ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( $true
!= ( b @ X0 @ ( s @ X1 ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(extensionality_resolution,[],[f40,f31]) ).
thf(f4984,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ X4 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ X4 ) )
| ( X0 = X1 )
| ( X1 = X4 ) ),
inference(constrained_superposition,[],[f40,f30]) ).
thf(f4985,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ X3 @ z ) )
| ( z = X3 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X3 ) ) ),
inference(constrained_superposition,[],[f40,f35]) ).
thf(f4987,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ X3 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( s @ z )
= X3 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X3 ) ) ),
inference(constrained_superposition,[],[f40,f73]) ).
thf(f4994,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ X2 @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X2 ) )
| ( ( s @ z )
= X2 ) )
| ~ spl0_1
| ~ spl0_25
| ~ spl0_36 ),
inference(constrained_superposition,[],[f40,f2998]) ).
thf(f4995,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ X3 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( z = X3 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f4985]) ).
thf(f4998,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X0 @ X4 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
= ( r @ X4 @ X1 ) )
| ( X0 = X1 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( X1 = X4 ) ),
inference(trivial_inequality_removal,[],[f4984]) ).
thf(f4999,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( s @ z )
= X3 )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X3 ) )
| ( $true
= ( r @ X3 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f4987]) ).
thf(f5003,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ z @ X2 ) )
| ( ( s @ z )
= X2 )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_1
| ~ spl0_25
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f4994]) ).
thf(f5007,definition,
( spl0_80
<=> ! [X0: $i,X3: $i] :
( ( $true
= ( r @ X3 @ z ) )
| ( z = X3 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
thf(f5008,plain,
( ! [X3: $i,X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X3 ) )
| ( z = X3 )
| ( $true
= ( r @ X3 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f5007]) ).
thf(f5009,plain,
( spl0_5
| spl0_80 ),
inference(avatar_split_clause,[],[f4995,f5007,f66]) ).
thf(f5011,definition,
( spl0_81
<=> ! [X0: $i,X3: $i] :
( ( ( s @ z )
= X3 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ X3 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
thf(f5012,plain,
( ! [X3: $i,X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X3 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ X3 @ ( s @ z ) ) )
| ( ( s @ z )
= X3 ) )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f5011]) ).
thf(f5013,plain,
( spl0_81
| spl0_8 ),
inference(avatar_split_clause,[],[f4999,f97,f5011]) ).
thf(f5015,definition,
( spl0_82
<=> ! [X2: $i] :
( ( ( s @ ( s @ z ) )
= X2 )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
= ( r @ X2 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
thf(f5016,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ z @ X2 ) )
| ( $true
= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X2 ) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f5015]) ).
thf(f5019,definition,
( spl0_83
<=> ! [X2: $i] :
( ( ( r @ X2 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X2 )
| ( $true
!= ( b @ z @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
thf(f5020,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ z @ X2 ) )
| ( ( r @ X2 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X2 ) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f5019]) ).
thf(f5021,plain,
( spl0_8
| spl0_83
| ~ spl0_1
| ~ spl0_25
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f5003,f1009,f521,f44,f5019,f97]) ).
thf(f5052,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f5020,f30]) ).
thf(f5053,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f5052]) ).
thf(f5073,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ X0 )
= z )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_54
| ~ spl0_83 ),
inference(constrained_superposition,[],[f2107,f5053]) ).
thf(f5075,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( s @ X0 )
= z )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_54
| ~ spl0_83 ),
inference(constrained_superposition,[],[f3216,f5053]) ).
thf(f5099,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= z )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_54
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f5073]) ).
thf(f5103,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_54
| ~ spl0_83 ),
inference(duplicate_literal_removal,[],[f5075]) ).
thf(f5104,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( s @ X0 )
= z )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_54
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f5103]) ).
thf(f5113,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= z )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_54
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f5099,f29]) ).
thf(f5114,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_54
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f5104,f31]) ).
thf(f5117,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_54
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f5113,f31]) ).
thf(f5234,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_82 ),
inference(constrained_superposition,[],[f5016,f30]) ).
thf(f5236,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f5234]) ).
thf(f5251,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_54
| ~ spl0_82 ),
inference(constrained_superposition,[],[f2005,f5236]) ).
thf(f5279,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_54
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f5251]) ).
thf(f5318,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_54
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f5279,f31]) ).
thf(f5328,definition,
( spl0_87
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
thf(f5329,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f5328]) ).
thf(f5330,plain,
( spl0_87
| spl0_29
| ~ spl0_54
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f5318,f5015,f1622,f591,f5328]) ).
thf(f5895,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( z
= ( s @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( X0 = X1 ) )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f5008,f75]) ).
thf(f5899,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
= $true )
| ( ( s @ X0 )
= X1 )
| ( z = X1 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_80 ),
inference(constrained_superposition,[],[f5008,f30]) ).
thf(f5903,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z
= ( s @ ( s @ X1 ) ) )
| ( X0 = X1 ) )
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f5895]) ).
thf(f5906,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) ) )
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f5899]) ).
thf(f5907,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( X0 = X1 ) )
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f5903,f31]) ).
thf(f5934,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_54
| ~ spl0_57
| ~ spl0_83 ),
inference(constrained_superposition,[],[f5117,f1745]) ).
thf(f5945,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ X1 ) ) )
| ( z = X1 )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_54
| ~ spl0_57
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f5934]) ).
thf(f6071,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( z = X0 ) )
| spl0_7
| ~ spl0_80 ),
inference(constrained_superposition,[],[f226,f5906]) ).
thf(f6101,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| spl0_7
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f6071]) ).
thf(f6121,definition,
( spl0_88
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
thf(f6122,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f6121]) ).
thf(f6124,definition,
( spl0_89
<=> ! [X1: $i] :
( ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( z = X1 )
| ( ( s @ z )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
thf(f6125,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X1 )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 ) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f6124]) ).
thf(f6146,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_54
| ~ spl0_89 ),
inference(constrained_superposition,[],[f2005,f6125]) ).
thf(f6182,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_54
| ~ spl0_89 ),
inference(duplicate_literal_removal,[],[f6146]) ).
thf(f6183,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_54
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f6182]) ).
thf(f6413,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_25
| ~ spl0_87 ),
inference(constrained_superposition,[],[f5329,f522]) ).
thf(f6439,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_25
| ~ spl0_87 ),
inference(trivial_inequality_removal,[],[f6413]) ).
thf(f6512,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_25
| ~ spl0_54
| ~ spl0_83 ),
inference(constrained_superposition,[],[f5114,f522]) ).
thf(f6521,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_25
| ~ spl0_54
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f6512]) ).
thf(f7952,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_81 ),
inference(constrained_superposition,[],[f5012,f35]) ).
thf(f7956,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f7952]) ).
thf(f8156,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( X0 = X1 )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
= ( r @ X1 @ X4 ) )
| ( X0 = X4 )
| ( $true != $true )
| ( X1 = X4 )
| ( $true
= ( r @ X0 @ X4 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
!= ( b @ X4 @ X2 ) ) ),
inference(constrained_superposition,[],[f4998,f30]) ).
thf(f8177,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X2 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( X1 = X4 )
| ( X0 = X1 )
| ( X0 = X4 )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
= ( r @ X0 @ X4 ) )
| ( $true
= ( r @ X1 @ X4 ) ) ),
inference(trivial_inequality_removal,[],[f8156]) ).
thf(f8341,definition,
( spl0_96
<=> ! [X2: $i] :
( ( ( s @ z )
= X2 )
| ( z = X2 )
| ( $true
= ( r @ X2 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
thf(f8342,plain,
( ! [X2: $i] :
( ( $true
= ( r @ X2 @ z ) )
| ( z = X2 )
| ( ( s @ z )
= X2 ) )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f8341]) ).
thf(f9333,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( X0 = X1 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_12
| ~ spl0_56
| ~ spl0_80 ),
inference(constrained_superposition,[],[f2422,f5907]) ).
thf(f9499,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_12
| ~ spl0_56
| ~ spl0_80 ),
inference(duplicate_literal_removal,[],[f9333]) ).
thf(f9500,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( X0 = X1 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_12
| ~ spl0_56
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f9499]) ).
thf(f9529,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( X0 = X1 ) )
| ~ spl0_12
| ~ spl0_56
| ~ spl0_57
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f9500,f1745]) ).
thf(f9553,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( X0 = X2 )
| ( $true
= ( r @ ( s @ ( s @ X2 ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_12
| ~ spl0_56
| ~ spl0_57
| ~ spl0_80 ),
inference(constrained_superposition,[],[f2458,f9529]) ).
thf(f9592,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ z )
!= $true )
| ( X0 = X2 )
| ( $true
= ( r @ ( s @ ( s @ X2 ) ) @ z ) ) )
| ~ spl0_12
| ~ spl0_56
| ~ spl0_57
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f9553]) ).
thf(f9649,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( X1 = X2 )
| ( $true
= ( r @ X2 @ X1 ) )
| ( z = X1 )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ X2 @ z ) )
| ( ( r @ X1 @ z )
= $true )
| ( z = X2 ) )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f8177,f1395]) ).
thf(f9651,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( z = X2 )
| ( $true
= ( r @ X2 @ z ) )
| ( $true != $true )
| ( X1 = X2 )
| ( $true
= ( r @ X2 @ X1 ) ) )
| ~ spl0_1
| ~ spl0_25
| ~ spl0_36 ),
inference(constrained_superposition,[],[f8177,f2998]) ).
thf(f9653,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X1 )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( X1 = X2 )
| ( $true
= ( r @ X2 @ z ) )
| ( ( r @ X1 @ z )
= $true )
| ( z = X2 )
| ( $true
= ( r @ X2 @ X1 ) ) )
| ~ spl0_1
| ~ spl0_25
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f9651]) ).
thf(f9657,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X2 )
| ( z = X1 )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( X1 = X2 )
| ( $true
= ( r @ X2 @ X1 ) )
| ( $true
= ( r @ X2 @ z ) )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f9649]) ).
thf(f9668,definition,
( spl0_98
<=> ! [X2: $i,X1: $i] :
( ( z = X1 )
| ( $true
= ( r @ X2 @ X1 ) )
| ( z = X2 )
| ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ X2 @ z ) )
| ( X1 = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
thf(f9669,plain,
( ! [X2: $i,X1: $i] :
( ( $true
= ( r @ X2 @ z ) )
| ( z = X2 )
| ( $true
= ( r @ X2 @ X1 ) )
| ( ( r @ X1 @ z )
= $true )
| ( X1 = X2 )
| ( z = X1 ) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f9668]) ).
thf(f9670,plain,
( spl0_10
| spl0_98
| ~ spl0_1
| ~ spl0_25
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f9653,f1009,f521,f44,f9668,f104]) ).
thf(f9683,plain,
( spl0_21
| spl0_98
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f9657,f1394,f9668,f507]) ).
thf(f9696,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ X3 @ z ) )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( z = X0 )
| ( z = X3 )
| ( X0 = X3 )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ X3 )
= $true ) )
| ~ spl0_98 ),
inference(constrained_superposition,[],[f28,f9669]) ).
thf(f9697,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| spl0_7
| ~ spl0_98 ),
inference(constrained_superposition,[],[f226,f9669]) ).
thf(f9734,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X3 )
= $true )
| ( X0 = X3 )
| ( $true
= ( r @ X3 @ z ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( z = X0 )
| ( z = X3 )
| ( $true
!= ( r @ X0 @ X2 ) ) )
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f9696]) ).
thf(f9746,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| spl0_7
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f9697]) ).
thf(f9760,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( z = X3 )
| ( $true
!= ( r @ X0 @ X2 ) )
| ( z = X0 )
| ( X0 = X3 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ X3 @ z ) ) )
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f9734,f28]) ).
thf(f9872,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( ( s @ z )
= X1 )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_57
| ~ spl0_98 ),
inference(constrained_superposition,[],[f9760,f1745]) ).
thf(f9905,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ z )
= X1 )
| ( z
= ( s @ z ) )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) ) )
| ~ spl0_57
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f9872]) ).
thf(f10680,definition,
( spl0_116
<=> ! [X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
thf(f10681,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f10680]) ).
thf(f10695,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f791]) ).
thf(f10740,definition,
( spl0_124
<=> ! [X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
thf(f10741,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f10740]) ).
thf(f10880,definition,
( spl0_137
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
thf(f10881,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_137 ),
inference(avatar_component_clause,[],[f10880]) ).
thf(f10993,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_1
| ~ spl0_34 ),
inference(constrained_superposition,[],[f45,f10695]) ).
thf(f11008,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( z
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true ) )
| ~ spl0_34
| ~ spl0_49 ),
inference(constrained_superposition,[],[f3038,f10695]) ).
thf(f11020,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_1
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f10993]) ).
thf(f11021,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_34
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f11008]) ).
thf(f11027,plain,
( spl0_88
| ~ spl0_1
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f11020,f791,f44,f6121]) ).
thf(f11028,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( z
= ( s @ z ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_34
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f11021,f29]) ).
thf(f11030,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_34
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f11028,f31]) ).
thf(f11032,plain,
( spl0_124
| ~ spl0_34
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f11030,f1236,f791,f10740]) ).
thf(f11039,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_25
| ~ spl0_88 ),
inference(constrained_superposition,[],[f6122,f522]) ).
thf(f11050,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_25
| ~ spl0_88 ),
inference(trivial_inequality_removal,[],[f11039]) ).
thf(f11059,plain,
( $false
| ~ spl0_25
| ~ spl0_36
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[],[f11050,f1010]) ).
thf(f11060,plain,
( ~ spl0_25
| ~ spl0_36
| ~ spl0_88 ),
inference(avatar_contradiction_clause,[],[f11059]) ).
thf(f19396,plain,
( spl0_51
| spl0_31 ),
inference(avatar_split_clause,[],[f1791,f642,f1394]) ).
thf(f19402,definition,
( spl0_251
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_251])],[avatar_definition]) ).
thf(f19403,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_251 ),
inference(avatar_component_clause,[],[f19402]) ).
thf(f19408,plain,
( spl0_251
| ~ spl0_25
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f6439,f5328,f521,f19402]) ).
thf(f19609,definition,
( spl0_253
<=> ! [X2: $i] :
( ( $true
= ( r @ ( s @ X2 ) @ z ) )
| ( ( s @ z )
= X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_253])],[avatar_definition]) ).
thf(f19610,plain,
( ! [X2: $i] :
( ( $true
= ( r @ ( s @ X2 ) @ z ) )
| ( ( s @ z )
= X2 ) )
| ~ spl0_253 ),
inference(avatar_component_clause,[],[f19609]) ).
thf(f19634,definition,
( spl0_256
<=> ! [X2: $i] :
( ( z = X2 )
| ( $true
= ( r @ X2 @ z ) )
| ( ( s @ ( s @ z ) )
= X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_256])],[avatar_definition]) ).
thf(f19635,plain,
( ! [X2: $i] :
( ( $true
= ( r @ X2 @ z ) )
| ( z = X2 )
| ( ( s @ ( s @ z ) )
= X2 ) )
| ~ spl0_256 ),
inference(avatar_component_clause,[],[f19634]) ).
thf(f20896,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_82 ),
inference(constrained_superposition,[],[f5016,f30]) ).
thf(f20899,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f20896]) ).
thf(f21033,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= z )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_49
| ~ spl0_82 ),
inference(constrained_superposition,[],[f3108,f20899]) ).
thf(f21089,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( s @ X0 )
= z )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_49
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f21033]) ).
thf(f21137,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_49
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f21089,f29]) ).
thf(f21145,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_49
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f21137,f31]) ).
thf(f21884,definition,
( spl0_262
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_262])],[avatar_definition]) ).
thf(f21885,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_262 ),
inference(avatar_component_clause,[],[f21884]) ).
thf(f22583,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_28
| ~ spl0_49
| ~ spl0_82 ),
inference(constrained_superposition,[],[f21145,f589]) ).
thf(f22604,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_28
| ~ spl0_49
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f22583]) ).
thf(f22608,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_28
| ~ spl0_49
| ~ spl0_82
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f22604,f10741]) ).
thf(f22615,definition,
( spl0_264
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_264])],[avatar_definition]) ).
thf(f22616,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_264 ),
inference(avatar_component_clause,[],[f22615]) ).
thf(f22618,plain,
( spl0_264
| ~ spl0_28
| ~ spl0_49
| ~ spl0_82
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f22608,f10740,f5015,f1236,f588,f22615]) ).
thf(f23729,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ z ) )
| spl0_29 ),
inference(avatar_component_clause,[],[f591]) ).
thf(f23867,definition,
( spl0_279
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_279])],[avatar_definition]) ).
thf(f23868,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_279 ),
inference(avatar_component_clause,[],[f23867]) ).
thf(f23907,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_12
| spl0_29
| ~ spl0_56
| ~ spl0_57
| ~ spl0_80 ),
inference(extensionality_resolution,[],[f9592,f23729]) ).
thf(f23909,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_12
| spl0_29
| ~ spl0_56
| ~ spl0_57
| ~ spl0_80 ),
inference(extensionality_resolution,[],[f9529,f23729]) ).
thf(f23916,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ X0 ) ) )
| ~ spl0_3
| spl0_29 ),
inference(extensionality_resolution,[],[f3735,f23729]) ).
thf(f23917,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_3
| spl0_29 ),
inference(extensionality_resolution,[],[f3660,f23729]) ).
thf(f23918,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| spl0_29 ),
inference(extensionality_resolution,[],[f3660,f23729]) ).
thf(f23929,definition,
( spl0_286
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_286])],[avatar_definition]) ).
thf(f23930,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_286 ),
inference(avatar_component_clause,[],[f23929]) ).
thf(f23932,definition,
( spl0_287
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_287])],[avatar_definition]) ).
thf(f23933,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_287 ),
inference(avatar_component_clause,[],[f23932]) ).
thf(f23936,definition,
( spl0_288
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_288])],[avatar_definition]) ).
thf(f23937,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_288 ),
inference(avatar_component_clause,[],[f23936]) ).
thf(f23939,definition,
( spl0_289
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_289])],[avatar_definition]) ).
thf(f23940,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_289 ),
inference(avatar_component_clause,[],[f23939]) ).
thf(f23943,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_137 ),
inference(constrained_superposition,[],[f10881,f35]) ).
thf(f23945,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_137 ),
inference(trivial_inequality_removal,[],[f23943]) ).
thf(f23964,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_57
| ~ spl0_286 ),
inference(constrained_superposition,[],[f2458,f23930]) ).
thf(f24004,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_49
| ~ spl0_54
| ~ spl0_286 ),
inference(constrained_superposition,[],[f3136,f23930]) ).
thf(f24033,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_49
| ~ spl0_286 ),
inference(constrained_superposition,[],[f3038,f23930]) ).
thf(f24055,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_49
| ~ spl0_54
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f24004]) ).
thf(f24085,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_57
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f23964]) ).
thf(f24106,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_49
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f24033]) ).
thf(f24132,definition,
( spl0_290
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_290])],[avatar_definition]) ).
thf(f24133,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_290 ),
inference(avatar_component_clause,[],[f24132]) ).
thf(f24141,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_12
| ~ spl0_28
| spl0_29
| ~ spl0_49
| ~ spl0_54
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f24055,f23729]) ).
thf(f24152,definition,
( spl0_292
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_292])],[avatar_definition]) ).
thf(f24153,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f24152]) ).
thf(f24163,plain,
( spl0_290
| ~ spl0_57
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f24085,f23929,f1744,f24132]) ).
thf(f24172,definition,
( spl0_293
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_293])],[avatar_definition]) ).
thf(f24173,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_293 ),
inference(avatar_component_clause,[],[f24172]) ).
thf(f24177,definition,
( spl0_294
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).
thf(f24178,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f24177]) ).
thf(f24184,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_49
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f24106,f31]) ).
thf(f24207,definition,
( spl0_296
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_296])],[avatar_definition]) ).
thf(f24208,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_296 ),
inference(avatar_component_clause,[],[f24207]) ).
thf(f24213,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_12
| ~ spl0_28
| spl0_29
| ~ spl0_49
| ~ spl0_54
| ~ spl0_57
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f24141,f3145]) ).
thf(f24216,definition,
( spl0_297
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_297])],[avatar_definition]) ).
thf(f24217,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_297 ),
inference(avatar_component_clause,[],[f24216]) ).
thf(f24229,definition,
( spl0_298
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_298])],[avatar_definition]) ).
thf(f24230,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_298 ),
inference(avatar_component_clause,[],[f24229]) ).
thf(f24238,definition,
( spl0_300
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).
thf(f24239,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_300 ),
inference(avatar_component_clause,[],[f24238]) ).
thf(f24252,definition,
( spl0_303
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_303])],[avatar_definition]) ).
thf(f24253,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_303 ),
inference(avatar_component_clause,[],[f24252]) ).
thf(f24258,plain,
( spl0_296
| spl0_298
| ~ spl0_49
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f24184,f23929,f1236,f24229,f24207]) ).
thf(f24275,plain,
( spl0_292
| ~ spl0_12
| ~ spl0_28
| spl0_29
| ~ spl0_49
| ~ spl0_54
| ~ spl0_57
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f24213,f23929,f1744,f1622,f1236,f591,f588,f217,f24152]) ).
thf(f24335,definition,
( spl0_305
<=> ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).
thf(f24336,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_305 ),
inference(avatar_component_clause,[],[f24335]) ).
thf(f24345,definition,
( spl0_307
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_307])],[avatar_definition]) ).
thf(f24346,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_307 ),
inference(avatar_component_clause,[],[f24345]) ).
thf(f24350,definition,
( spl0_308
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_308])],[avatar_definition]) ).
thf(f24351,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_308 ),
inference(avatar_component_clause,[],[f24350]) ).
thf(f24357,definition,
( spl0_310
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_310])],[avatar_definition]) ).
thf(f24358,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_310 ),
inference(avatar_component_clause,[],[f24357]) ).
thf(f24361,definition,
( spl0_311
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_311])],[avatar_definition]) ).
thf(f24362,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_311 ),
inference(avatar_component_clause,[],[f24361]) ).
thf(f24364,definition,
( spl0_312
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_312])],[avatar_definition]) ).
thf(f24365,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_312 ),
inference(avatar_component_clause,[],[f24364]) ).
thf(f24368,definition,
( spl0_313
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_313])],[avatar_definition]) ).
thf(f24369,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_313 ),
inference(avatar_component_clause,[],[f24368]) ).
thf(f24372,definition,
( spl0_314
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_314])],[avatar_definition]) ).
thf(f24373,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_314 ),
inference(avatar_component_clause,[],[f24372]) ).
thf(f24377,definition,
( spl0_315
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_315])],[avatar_definition]) ).
thf(f24378,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_315 ),
inference(avatar_component_clause,[],[f24377]) ).
thf(f24383,definition,
( spl0_316
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_316])],[avatar_definition]) ).
thf(f24384,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_316 ),
inference(avatar_component_clause,[],[f24383]) ).
thf(f24415,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f488,f24153]) ).
thf(f24757,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f24415,f26]) ).
thf(f24865,plain,
( $false
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f24757,f25]) ).
thf(f24866,plain,
~ spl0_292,
inference(avatar_contradiction_clause,[],[f24865]) ).
thf(f24971,definition,
( spl0_323
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_323])],[avatar_definition]) ).
thf(f24972,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_323 ),
inference(avatar_component_clause,[],[f24971]) ).
thf(f24974,definition,
( spl0_324
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_324])],[avatar_definition]) ).
thf(f24975,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_324 ),
inference(avatar_component_clause,[],[f24974]) ).
thf(f24976,plain,
( spl0_323
| spl0_324
| ~ spl0_12
| spl0_29
| ~ spl0_56
| ~ spl0_57
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f23907,f5007,f1744,f1690,f591,f217,f24974,f24971]) ).
thf(f24984,definition,
( spl0_325
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_325])],[avatar_definition]) ).
thf(f24985,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_325 ),
inference(avatar_component_clause,[],[f24984]) ).
thf(f24987,definition,
( spl0_326
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_326])],[avatar_definition]) ).
thf(f24988,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_326 ),
inference(avatar_component_clause,[],[f24987]) ).
thf(f25011,plain,
( spl0_325
| spl0_324
| ~ spl0_12
| spl0_29
| ~ spl0_56
| ~ spl0_57
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f23909,f5007,f1744,f1690,f591,f217,f24974,f24984]) ).
thf(f25014,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) ) )
| ~ spl0_57
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f9905,f31]) ).
thf(f25016,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f642]) ).
thf(f25064,definition,
( spl0_332
<=> ! [X2: $i,X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_332])],[avatar_definition]) ).
thf(f25065,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) ) )
| ~ spl0_332 ),
inference(avatar_component_clause,[],[f25064]) ).
thf(f25066,plain,
( spl0_96
| spl0_332
| ~ spl0_57
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f25014,f9668,f1744,f25064,f8341]) ).
thf(f25118,plain,
( spl0_67
| ~ spl0_54
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f6183,f6124,f1622,f3411]) ).
thf(f25210,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f74,f24178]) ).
thf(f25365,definition,
( spl0_343
<=> ! [X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_343])],[avatar_definition]) ).
thf(f25366,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_343 ),
inference(avatar_component_clause,[],[f25365]) ).
thf(f25388,definition,
( spl0_345
<=> ! [X1: $i] :
( ( ( s @ X1 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_345])],[avatar_definition]) ).
thf(f25389,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( ( s @ X1 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_345 ),
inference(avatar_component_clause,[],[f25388]) ).
thf(f25395,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f25210,f26]) ).
thf(f25458,plain,
( $false
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f25395,f25]) ).
thf(f25459,plain,
~ spl0_294,
inference(avatar_contradiction_clause,[],[f25458]) ).
thf(f25518,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_296 ),
inference(constrained_superposition,[],[f487,f24208]) ).
thf(f25724,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_296 ),
inference(forward_subsumption_resolution,[],[f25518,f26]) ).
thf(f25727,plain,
( $false
| ~ spl0_296 ),
inference(forward_subsumption_resolution,[],[f25724,f25]) ).
thf(f25728,plain,
~ spl0_296,
inference(avatar_contradiction_clause,[],[f25727]) ).
thf(f25786,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_57
| ~ spl0_324 ),
inference(constrained_superposition,[],[f2458,f24975]) ).
thf(f25796,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_57
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f25786]) ).
thf(f25807,plain,
( spl0_326
| ~ spl0_57
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f25796,f24974,f1744,f24987]) ).
thf(f25818,definition,
( spl0_355
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_355])],[avatar_definition]) ).
thf(f25819,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_355 ),
inference(avatar_component_clause,[],[f25818]) ).
thf(f25848,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_293 ),
inference(constrained_superposition,[],[f487,f24173]) ).
thf(f26021,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f25848,f26]) ).
thf(f26041,plain,
( $false
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f26021,f25]) ).
thf(f26042,plain,
~ spl0_293,
inference(avatar_contradiction_clause,[],[f26041]) ).
thf(f26047,definition,
( spl0_357
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_357])],[avatar_definition]) ).
thf(f26048,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_357 ),
inference(avatar_component_clause,[],[f26047]) ).
thf(f26141,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_1
| ~ spl0_355 ),
inference(constrained_superposition,[],[f45,f25819]) ).
thf(f26157,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f26141]) ).
thf(f26170,plain,
( spl0_326
| ~ spl0_1
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f26157,f25818,f44,f24987]) ).
thf(f26177,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_57
| ~ spl0_325 ),
inference(constrained_superposition,[],[f2458,f24985]) ).
thf(f26178,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_54
| ~ spl0_325 ),
inference(constrained_superposition,[],[f2107,f24985]) ).
thf(f26186,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_57
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f26177]) ).
thf(f26187,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_54
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f26178]) ).
thf(f26197,plain,
( spl0_323
| ~ spl0_57
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f26186,f24984,f1744,f24971]) ).
thf(f26198,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_54
| ~ spl0_325 ),
inference(forward_subsumption_resolution,[],[f26187,f31]) ).
thf(f26202,plain,
( spl0_323
| ~ spl0_54
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f26198,f24984,f1622,f24971]) ).
thf(f26502,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_54
| ~ spl0_308 ),
inference(constrained_superposition,[],[f2107,f24351]) ).
thf(f26512,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_36
| ~ spl0_308 ),
inference(constrained_superposition,[],[f1610,f24351]) ).
thf(f26534,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_54
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f26502]) ).
thf(f26572,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_36
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f26512]) ).
thf(f26578,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_54
| ~ spl0_308 ),
inference(forward_subsumption_resolution,[],[f26534,f31]) ).
thf(f26587,definition,
( spl0_365
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_365])],[avatar_definition]) ).
thf(f26588,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_365 ),
inference(avatar_component_clause,[],[f26587]) ).
thf(f26605,plain,
( $false
| ~ spl0_36
| ~ spl0_308
| ~ spl0_324 ),
inference(forward_subsumption_resolution,[],[f26572,f24975]) ).
thf(f26606,plain,
( ~ spl0_36
| ~ spl0_308
| ~ spl0_324 ),
inference(avatar_contradiction_clause,[],[f26605]) ).
thf(f26608,plain,
( spl0_365
| ~ spl0_54
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f26578,f24350,f1622,f26587]) ).
thf(f26618,definition,
( spl0_366
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_366])],[avatar_definition]) ).
thf(f26619,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_366 ),
inference(avatar_component_clause,[],[f26618]) ).
thf(f26687,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_307 ),
inference(constrained_superposition,[],[f24346,f487]) ).
thf(f26694,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_307 ),
inference(trivial_inequality_removal,[],[f26687]) ).
thf(f26698,plain,
( spl0_316
| spl0_307 ),
inference(avatar_split_clause,[],[f26694,f24345,f24383]) ).
thf(f26757,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_286
| ~ spl0_326 ),
inference(constrained_superposition,[],[f24988,f23930]) ).
thf(f26762,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_286 ),
inference(constrained_superposition,[],[f2985,f23930]) ).
thf(f26782,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f26762]) ).
thf(f26801,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_286
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f26757]) ).
thf(f26862,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_325 ),
inference(avatar_component_clause,[],[f24984]) ).
thf(f26864,plain,
( ~ spl0_325
| ~ spl0_286
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f26801,f24987,f23929,f24984]) ).
thf(f26903,definition,
( spl0_370
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_370])],[avatar_definition]) ).
thf(f26904,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_370 ),
inference(avatar_component_clause,[],[f26903]) ).
thf(f26958,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_56
| ~ spl0_57
| spl0_325 ),
inference(constrained_superposition,[],[f26862,f4755]) ).
thf(f26981,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_56
| ~ spl0_57
| spl0_325 ),
inference(trivial_inequality_removal,[],[f26958]) ).
thf(f26997,plain,
( spl0_345
| ~ spl0_3
| ~ spl0_12
| ~ spl0_56
| ~ spl0_57
| spl0_325 ),
inference(avatar_split_clause,[],[f26981,f24984,f1744,f1690,f217,f59,f25388]) ).
thf(f27367,definition,
( spl0_378
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_378])],[avatar_definition]) ).
thf(f27368,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_378 ),
inference(avatar_component_clause,[],[f27367]) ).
thf(f27407,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_311 ),
inference(avatar_component_clause,[],[f24361]) ).
thf(f27454,definition,
( spl0_385
<=> ! [X1: $i] :
( ( z = X1 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_385])],[avatar_definition]) ).
thf(f27455,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 ) )
| ~ spl0_385 ),
inference(avatar_component_clause,[],[f27454]) ).
thf(f28289,definition,
( spl0_443
<=> ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_443])],[avatar_definition]) ).
thf(f28290,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_443 ),
inference(avatar_component_clause,[],[f28289]) ).
thf(f28292,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_315 ),
inference(avatar_component_clause,[],[f24377]) ).
thf(f28294,definition,
( spl0_444
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_444])],[avatar_definition]) ).
thf(f28295,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_444 ),
inference(avatar_component_clause,[],[f28294]) ).
thf(f28298,definition,
( spl0_445
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_445])],[avatar_definition]) ).
thf(f28299,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_445 ),
inference(avatar_component_clause,[],[f28298]) ).
thf(f28300,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_279 ),
inference(avatar_component_clause,[],[f23867]) ).
thf(f28306,definition,
( spl0_446
<=> ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_446])],[avatar_definition]) ).
thf(f28307,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_446 ),
inference(avatar_component_clause,[],[f28306]) ).
thf(f28328,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_378 ),
inference(constrained_superposition,[],[f27368,f35]) ).
thf(f28331,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_378 ),
inference(trivial_inequality_removal,[],[f28328]) ).
thf(f28333,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_279 ),
inference(constrained_superposition,[],[f218,f28300]) ).
thf(f28357,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_12
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f28333]) ).
thf(f28366,definition,
( spl0_449
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_449])],[avatar_definition]) ).
thf(f28367,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_449 ),
inference(avatar_component_clause,[],[f28366]) ).
thf(f28369,plain,
( spl0_449
| ~ spl0_12
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f28357,f23867,f217,f28366]) ).
thf(f28377,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_315 ),
inference(constrained_superposition,[],[f28292,f487]) ).
thf(f28379,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_315 ),
inference(constrained_superposition,[],[f28292,f36]) ).
thf(f28381,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_315 ),
inference(trivial_inequality_removal,[],[f28379]) ).
thf(f28382,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_315 ),
inference(trivial_inequality_removal,[],[f28377]) ).
thf(f28385,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_29
| spl0_315 ),
inference(forward_subsumption_resolution,[],[f28381,f23729]) ).
thf(f28386,plain,
( spl0_308
| spl0_315 ),
inference(avatar_split_clause,[],[f28382,f24377,f24350]) ).
thf(f28389,plain,
( spl0_308
| spl0_29
| spl0_315 ),
inference(avatar_split_clause,[],[f28385,f24377,f591,f24350]) ).
thf(f28395,definition,
( spl0_452
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_452])],[avatar_definition]) ).
thf(f28396,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_452 ),
inference(avatar_component_clause,[],[f28395]) ).
thf(f28399,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_81
| ~ spl0_315 ),
inference(constrained_superposition,[],[f5012,f24378]) ).
thf(f28402,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_315 ),
inference(constrained_superposition,[],[f4981,f24378]) ).
thf(f28414,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_315 ),
inference(trivial_inequality_removal,[],[f28402]) ).
thf(f28421,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_81
| ~ spl0_315 ),
inference(trivial_inequality_removal,[],[f28399]) ).
thf(f28504,definition,
( spl0_454
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_454])],[avatar_definition]) ).
thf(f28505,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_454 ),
inference(avatar_component_clause,[],[f28504]) ).
thf(f28520,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_54
| ~ spl0_57
| ~ spl0_289 ),
inference(constrained_superposition,[],[f3508,f23940]) ).
thf(f28576,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_54
| ~ spl0_57
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f28520]) ).
thf(f28630,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_370 ),
inference(avatar_component_clause,[],[f26903]) ).
thf(f28655,definition,
( spl0_457
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_457])],[avatar_definition]) ).
thf(f28656,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_457 ),
inference(avatar_component_clause,[],[f28655]) ).
thf(f28664,definition,
( spl0_459
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_459])],[avatar_definition]) ).
thf(f28665,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_459 ),
inference(avatar_component_clause,[],[f28664]) ).
thf(f28676,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_57
| spl0_357 ),
inference(constrained_superposition,[],[f26048,f1745]) ).
thf(f28678,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_54
| spl0_357 ),
inference(constrained_superposition,[],[f26048,f2097]) ).
thf(f28679,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_3
| spl0_357 ),
inference(constrained_superposition,[],[f26048,f3472]) ).
thf(f28682,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_83
| spl0_357 ),
inference(constrained_superposition,[],[f26048,f5053]) ).
thf(f28686,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_83
| spl0_357 ),
inference(trivial_inequality_removal,[],[f28682]) ).
thf(f28687,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_3
| spl0_357 ),
inference(trivial_inequality_removal,[],[f28679]) ).
thf(f28689,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_54
| spl0_357 ),
inference(trivial_inequality_removal,[],[f28678]) ).
thf(f28691,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_57
| spl0_357 ),
inference(trivial_inequality_removal,[],[f28676]) ).
thf(f28696,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_57
| ~ spl0_459 ),
inference(constrained_superposition,[],[f2458,f28665]) ).
thf(f28708,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_251
| ~ spl0_459 ),
inference(constrained_superposition,[],[f19403,f28665]) ).
thf(f28720,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_251
| ~ spl0_459 ),
inference(trivial_inequality_removal,[],[f28708]) ).
thf(f28721,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_57
| ~ spl0_459 ),
inference(trivial_inequality_removal,[],[f28696]) ).
thf(f28729,definition,
( spl0_461
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_461])],[avatar_definition]) ).
thf(f28730,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_461 ),
inference(avatar_component_clause,[],[f28729]) ).
thf(f28734,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_251
| spl0_370
| ~ spl0_459 ),
inference(forward_subsumption_resolution,[],[f28720,f28630]) ).
thf(f28735,plain,
( spl0_461
| ~ spl0_57
| ~ spl0_459 ),
inference(avatar_split_clause,[],[f28721,f28664,f1744,f28729]) ).
thf(f28738,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_251
| spl0_370
| ~ spl0_459 ),
inference(forward_subsumption_resolution,[],[f28734,f31]) ).
thf(f28741,definition,
( spl0_462
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_462])],[avatar_definition]) ).
thf(f28742,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_462 ),
inference(avatar_component_clause,[],[f28741]) ).
thf(f28744,plain,
( spl0_293
| ~ spl0_251
| spl0_370
| ~ spl0_459 ),
inference(avatar_split_clause,[],[f28738,f28664,f26903,f19402,f24172]) ).
thf(f28812,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_446 ),
inference(constrained_superposition,[],[f28307,f487]) ).
thf(f28823,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_446 ),
inference(trivial_inequality_removal,[],[f28812]) ).
thf(f28825,plain,
( spl0_316
| spl0_21
| ~ spl0_446 ),
inference(avatar_split_clause,[],[f28823,f28306,f507,f24383]) ).
thf(f28882,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_286
| ~ spl0_449 ),
inference(constrained_superposition,[],[f28367,f23930]) ).
thf(f28892,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_286
| ~ spl0_449 ),
inference(trivial_inequality_removal,[],[f28882]) ).
thf(f28895,plain,
( $false
| ~ spl0_286
| ~ spl0_449
| ~ spl0_459 ),
inference(forward_subsumption_resolution,[],[f28892,f28665]) ).
thf(f28896,plain,
( ~ spl0_286
| ~ spl0_449
| ~ spl0_459 ),
inference(avatar_contradiction_clause,[],[f28895]) ).
thf(f28900,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_89
| spl0_279 ),
inference(constrained_superposition,[],[f23868,f6125]) ).
thf(f28904,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_89
| spl0_279 ),
inference(trivial_inequality_removal,[],[f28900]) ).
thf(f29003,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_56
| spl0_311 ),
inference(constrained_superposition,[],[f27407,f1691]) ).
thf(f29010,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_56
| spl0_311 ),
inference(trivial_inequality_removal,[],[f29003]) ).
thf(f29015,plain,
( $false
| ~ spl0_56
| spl0_311
| spl0_325 ),
inference(forward_subsumption_resolution,[],[f29010,f26862]) ).
thf(f29016,plain,
( ~ spl0_56
| spl0_311
| spl0_325 ),
inference(avatar_contradiction_clause,[],[f29015]) ).
thf(f29033,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_311 ),
inference(constrained_superposition,[],[f218,f24362]) ).
thf(f29045,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_54
| ~ spl0_311 ),
inference(constrained_superposition,[],[f2005,f24362]) ).
thf(f29050,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) ) )
| ~ spl0_54
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f29045]) ).
thf(f29054,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_311 ),
inference(trivial_inequality_removal,[],[f29033]) ).
thf(f29063,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) ) )
| ~ spl0_54
| ~ spl0_311 ),
inference(forward_subsumption_resolution,[],[f29050,f31]) ).
thf(f29064,plain,
( spl0_461
| ~ spl0_12
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f29054,f24361,f217,f28729]) ).
thf(f29070,plain,
( spl0_462
| spl0_294
| ~ spl0_54
| ~ spl0_311 ),
inference(avatar_split_clause,[],[f29063,f24361,f1622,f24177,f28741]) ).
thf(f29151,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_289
| ~ spl0_461 ),
inference(constrained_superposition,[],[f28730,f23940]) ).
thf(f29157,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_289
| ~ spl0_461 ),
inference(trivial_inequality_removal,[],[f29151]) ).
thf(f29212,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_56
| ~ spl0_290 ),
inference(constrained_superposition,[],[f24133,f1691]) ).
thf(f29225,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_56
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f29212]) ).
thf(f29277,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_83
| ~ spl0_298 ),
inference(constrained_superposition,[],[f24230,f5053]) ).
thf(f29301,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_83
| ~ spl0_298 ),
inference(trivial_inequality_removal,[],[f29277]) ).
thf(f29325,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_313 ),
inference(constrained_superposition,[],[f24369,f488]) ).
thf(f29331,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f29325]) ).
thf(f29336,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_314 ),
inference(avatar_component_clause,[],[f24372]) ).
thf(f29337,plain,
( ~ spl0_314
| spl0_444
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f29331,f24368,f28294,f24372]) ).
thf(f29343,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_314 ),
inference(constrained_superposition,[],[f29336,f488]) ).
thf(f29347,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_314 ),
inference(trivial_inequality_removal,[],[f29343]) ).
thf(f29351,plain,
( spl0_300
| spl0_314 ),
inference(avatar_split_clause,[],[f29347,f24372,f24238]) ).
thf(f29362,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_36
| ~ spl0_300 ),
inference(constrained_superposition,[],[f1564,f24239]) ).
thf(f29368,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_57
| ~ spl0_300 ),
inference(constrained_superposition,[],[f2458,f24239]) ).
thf(f29381,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_300
| ~ spl0_326 ),
inference(constrained_superposition,[],[f24988,f24239]) ).
thf(f29418,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_57
| ~ spl0_300 ),
inference(trivial_inequality_removal,[],[f29368]) ).
thf(f29434,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_36
| ~ spl0_300 ),
inference(trivial_inequality_removal,[],[f29362]) ).
thf(f29436,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_300
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f29381]) ).
thf(f29453,plain,
( spl0_365
| ~ spl0_57
| ~ spl0_300 ),
inference(avatar_split_clause,[],[f29418,f24238,f1744,f26587]) ).
thf(f29460,plain,
( spl0_365
| ~ spl0_36
| ~ spl0_300 ),
inference(avatar_split_clause,[],[f29434,f24238,f1009,f26587]) ).
thf(f29462,plain,
( $false
| ~ spl0_36
| ~ spl0_300
| ~ spl0_326 ),
inference(forward_subsumption_resolution,[],[f29436,f1010]) ).
thf(f29463,plain,
( ~ spl0_36
| ~ spl0_300
| ~ spl0_326 ),
inference(avatar_contradiction_clause,[],[f29462]) ).
thf(f29485,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_81
| ~ spl0_314 ),
inference(constrained_superposition,[],[f5012,f24373]) ).
thf(f29511,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_81
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f29485]) ).
thf(f29527,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_25
| ~ spl0_54
| ~ spl0_83
| ~ spl0_444 ),
inference(constrained_superposition,[],[f6521,f28295]) ).
thf(f29554,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_12
| ~ spl0_56
| ~ spl0_57
| ~ spl0_80
| ~ spl0_444 ),
inference(constrained_superposition,[],[f9592,f28295]) ).
thf(f29604,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_25
| ~ spl0_54
| ~ spl0_83
| ~ spl0_444 ),
inference(trivial_inequality_removal,[],[f29527]) ).
thf(f29610,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_12
| ~ spl0_56
| ~ spl0_57
| ~ spl0_80
| ~ spl0_444 ),
inference(trivial_inequality_removal,[],[f29554]) ).
thf(f29631,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_25
| ~ spl0_54
| ~ spl0_83
| spl0_370
| ~ spl0_444 ),
inference(forward_subsumption_resolution,[],[f29604,f28630]) ).
thf(f29634,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_12
| ~ spl0_36
| ~ spl0_56
| ~ spl0_57
| ~ spl0_80
| ~ spl0_444 ),
inference(forward_subsumption_resolution,[],[f29610,f1010]) ).
thf(f29652,plain,
( spl0_294
| ~ spl0_25
| ~ spl0_54
| ~ spl0_83
| spl0_370
| ~ spl0_444 ),
inference(avatar_split_clause,[],[f29631,f28294,f26903,f5019,f1622,f521,f24177]) ).
thf(f29653,plain,
( spl0_343
| ~ spl0_12
| ~ spl0_36
| ~ spl0_56
| ~ spl0_57
| ~ spl0_80
| ~ spl0_444 ),
inference(avatar_split_clause,[],[f29634,f28294,f5007,f1744,f1690,f1009,f217,f25365]) ).
thf(f30192,definition,
( spl0_469
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_469])],[avatar_definition]) ).
thf(f30193,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_469 ),
inference(avatar_component_clause,[],[f30192]) ).
thf(f30223,definition,
( spl0_474
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_474])],[avatar_definition]) ).
thf(f30224,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_474 ),
inference(avatar_component_clause,[],[f30223]) ).
thf(f30312,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_38
| ~ spl0_326 ),
inference(constrained_superposition,[],[f24988,f1041]) ).
thf(f30361,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_38
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f30312]) ).
thf(f30395,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_36
| ~ spl0_38
| ~ spl0_326 ),
inference(forward_subsumption_resolution,[],[f30361,f1010]) ).
thf(f30407,plain,
( spl0_296
| ~ spl0_36
| ~ spl0_38
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f30395,f24987,f1040,f1009,f24207]) ).
thf(f30612,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_308 ),
inference(avatar_component_clause,[],[f24350]) ).
thf(f30651,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_57
| ~ spl0_343 ),
inference(constrained_superposition,[],[f2458,f25366]) ).
thf(f30664,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_57
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f30651]) ).
thf(f32654,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ z ) )
| spl0_292 ),
inference(avatar_component_clause,[],[f24152]) ).
thf(f32701,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_12
| ~ spl0_56
| ~ spl0_57
| ~ spl0_80
| spl0_292 ),
inference(extensionality_resolution,[],[f9529,f32654]) ).
thf(f32703,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_80
| spl0_292 ),
inference(extensionality_resolution,[],[f5907,f32654]) ).
thf(f32704,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_80
| spl0_292 ),
inference(extensionality_resolution,[],[f5907,f32654]) ).
thf(f32709,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_3
| spl0_292 ),
inference(extensionality_resolution,[],[f3660,f32654]) ).
thf(f32713,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_292 ),
inference(extensionality_resolution,[],[f75,f32654]) ).
thf(f32714,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_292 ),
inference(extensionality_resolution,[],[f75,f32654]) ).
thf(f32720,definition,
( spl0_531
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_531])],[avatar_definition]) ).
thf(f32721,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_531 ),
inference(avatar_component_clause,[],[f32720]) ).
thf(f32723,definition,
( spl0_532
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_532])],[avatar_definition]) ).
thf(f32724,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_532 ),
inference(avatar_component_clause,[],[f32723]) ).
thf(f32725,plain,
( spl0_531
| spl0_532
| spl0_292 ),
inference(avatar_split_clause,[],[f32714,f24152,f32723,f32720]) ).
thf(f32727,definition,
( spl0_533
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_533])],[avatar_definition]) ).
thf(f32728,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_533 ),
inference(avatar_component_clause,[],[f32727]) ).
thf(f32730,definition,
( spl0_534
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_534])],[avatar_definition]) ).
thf(f32731,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_534 ),
inference(avatar_component_clause,[],[f32730]) ).
thf(f32732,plain,
( spl0_533
| spl0_534
| spl0_292 ),
inference(avatar_split_clause,[],[f32713,f24152,f32730,f32727]) ).
thf(f32752,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_57
| ~ spl0_343
| ~ spl0_532 ),
inference(constrained_superposition,[],[f30664,f32724]) ).
thf(f32773,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_57
| ~ spl0_343
| ~ spl0_532 ),
inference(trivial_inequality_removal,[],[f32752]) ).
thf(f32804,definition,
( spl0_535
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_535])],[avatar_definition]) ).
thf(f32805,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_535 ),
inference(avatar_component_clause,[],[f32804]) ).
thf(f32809,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_57
| ~ spl0_324
| ~ spl0_343
| ~ spl0_532 ),
inference(forward_subsumption_resolution,[],[f32773,f24975]) ).
thf(f32831,plain,
( spl0_296
| ~ spl0_57
| ~ spl0_324
| ~ spl0_343
| ~ spl0_532 ),
inference(avatar_split_clause,[],[f32809,f32723,f25365,f24974,f1744,f24207]) ).
thf(f32841,definition,
( spl0_539
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_539])],[avatar_definition]) ).
thf(f32842,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_539 ),
inference(avatar_component_clause,[],[f32841]) ).
thf(f32846,definition,
( spl0_540
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_540])],[avatar_definition]) ).
thf(f32847,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_540 ),
inference(avatar_component_clause,[],[f32846]) ).
thf(f32850,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_81
| ~ spl0_531 ),
inference(constrained_superposition,[],[f5012,f32721]) ).
thf(f32854,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_22
| ~ spl0_531 ),
inference(constrained_superposition,[],[f512,f32721]) ).
thf(f32870,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_531 ),
inference(trivial_inequality_removal,[],[f32854]) ).
thf(f32875,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_81
| ~ spl0_531 ),
inference(trivial_inequality_removal,[],[f32850]) ).
thf(f32878,definition,
( spl0_541
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_541])],[avatar_definition]) ).
thf(f32879,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_541 ),
inference(avatar_component_clause,[],[f32878]) ).
thf(f32884,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_315
| ~ spl0_531 ),
inference(forward_subsumption_resolution,[],[f32870,f24378]) ).
thf(f32886,definition,
( spl0_543
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_543])],[avatar_definition]) ).
thf(f32887,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_543 ),
inference(avatar_component_clause,[],[f32886]) ).
thf(f32889,definition,
( spl0_544
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_544])],[avatar_definition]) ).
thf(f32890,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_544 ),
inference(avatar_component_clause,[],[f32889]) ).
thf(f32893,definition,
( spl0_545
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_545])],[avatar_definition]) ).
thf(f32894,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_545 ),
inference(avatar_component_clause,[],[f32893]) ).
thf(f32900,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_81
| spl0_357
| ~ spl0_531 ),
inference(forward_subsumption_resolution,[],[f32875,f26048]) ).
thf(f32901,plain,
( spl0_539
| spl0_543
| ~ spl0_81
| spl0_357
| ~ spl0_531 ),
inference(avatar_split_clause,[],[f32900,f32720,f26047,f5011,f32886,f32841]) ).
thf(f32967,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28
| ~ spl0_315
| ~ spl0_531 ),
inference(constrained_superposition,[],[f1524,f32884]) ).
thf(f32973,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_22
| ~ spl0_57
| ~ spl0_315
| ~ spl0_343
| ~ spl0_531 ),
inference(constrained_superposition,[],[f30664,f32884]) ).
thf(f33002,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28
| ~ spl0_315
| ~ spl0_531 ),
inference(trivial_inequality_removal,[],[f32967]) ).
thf(f33016,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_22
| ~ spl0_57
| ~ spl0_315
| ~ spl0_343
| ~ spl0_531 ),
inference(trivial_inequality_removal,[],[f32973]) ).
thf(f33030,definition,
( spl0_550
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_550])],[avatar_definition]) ).
thf(f33031,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_550 ),
inference(avatar_component_clause,[],[f33030]) ).
thf(f33034,definition,
( spl0_551
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_551])],[avatar_definition]) ).
thf(f33035,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_551 ),
inference(avatar_component_clause,[],[f33034]) ).
thf(f33040,plain,
( $false
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28
| ~ spl0_315
| ~ spl0_531
| ~ spl0_543 ),
inference(forward_subsumption_resolution,[],[f33002,f32887]) ).
thf(f33041,plain,
( ~ spl0_12
| ~ spl0_22
| ~ spl0_28
| ~ spl0_315
| ~ spl0_531
| ~ spl0_543 ),
inference(avatar_contradiction_clause,[],[f33040]) ).
thf(f33052,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_22
| ~ spl0_57
| ~ spl0_315
| ~ spl0_343
| ~ spl0_531 ),
inference(forward_subsumption_resolution,[],[f33016,f31]) ).
thf(f33068,plain,
( ~ spl0_550
| ~ spl0_22
| ~ spl0_57
| ~ spl0_315
| ~ spl0_343
| ~ spl0_531 ),
inference(avatar_split_clause,[],[f33052,f32720,f25365,f24377,f1744,f511,f33030]) ).
thf(f33072,definition,
( spl0_553
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_553])],[avatar_definition]) ).
thf(f33073,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_553 ),
inference(avatar_component_clause,[],[f33072]) ).
thf(f33093,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_539 ),
inference(constrained_superposition,[],[f487,f32842]) ).
thf(f33241,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_539 ),
inference(forward_subsumption_resolution,[],[f33093,f26]) ).
thf(f33291,plain,
( $false
| ~ spl0_539 ),
inference(forward_subsumption_resolution,[],[f33241,f25]) ).
thf(f33292,plain,
~ spl0_539,
inference(avatar_contradiction_clause,[],[f33291]) ).
thf(f33330,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_550 ),
inference(avatar_component_clause,[],[f33030]) ).
thf(f33338,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_83
| spl0_357 ),
inference(forward_subsumption_resolution,[],[f28686,f31]) ).
thf(f33343,definition,
( spl0_558
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_558])],[avatar_definition]) ).
thf(f33344,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_558 ),
inference(avatar_component_clause,[],[f33343]) ).
thf(f33346,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_324 ),
inference(avatar_component_clause,[],[f24974]) ).
thf(f33353,plain,
( spl0_550
| spl0_324
| spl0_532
| ~ spl0_80
| spl0_292 ),
inference(avatar_split_clause,[],[f32704,f24152,f5007,f32723,f24974,f33030]) ).
thf(f33358,plain,
( spl0_297
| ~ spl0_325
| ~ spl0_1
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f26782,f23929,f44,f24984,f24216]) ).
thf(f33361,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_89
| spl0_279 ),
inference(forward_subsumption_resolution,[],[f28904,f31]) ).
thf(f33362,plain,
( spl0_469
| spl0_21
| spl0_355
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f28414,f24377,f25818,f507,f30192]) ).
thf(f33376,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_54
| ~ spl0_57
| ~ spl0_289 ),
inference(forward_subsumption_resolution,[],[f28576,f31]) ).
thf(f33377,plain,
( spl0_533
| spl0_550
| spl0_324
| ~ spl0_80
| spl0_292 ),
inference(avatar_split_clause,[],[f32703,f24152,f5007,f24974,f33030,f32727]) ).
thf(f33378,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_54
| spl0_357 ),
inference(forward_subsumption_resolution,[],[f28689,f31]) ).
thf(f33383,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_3
| spl0_7
| spl0_357 ),
inference(forward_subsumption_resolution,[],[f28687,f226]) ).
thf(f33411,plain,
( spl0_324
| spl0_378 ),
inference(avatar_split_clause,[],[f28331,f27367,f24974]) ).
thf(f33412,plain,
( spl0_324
| spl0_550
| ~ spl0_12
| ~ spl0_56
| ~ spl0_57
| ~ spl0_80
| spl0_292 ),
inference(avatar_split_clause,[],[f32701,f24152,f5007,f1744,f1690,f217,f33030,f24974]) ).
thf(f33416,plain,
( spl0_324
| ~ spl0_57
| spl0_357 ),
inference(avatar_split_clause,[],[f28691,f26047,f1744,f24974]) ).
thf(f33421,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_83
| spl0_292
| spl0_357 ),
inference(forward_subsumption_resolution,[],[f33338,f32654]) ).
thf(f33429,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_89
| spl0_279
| spl0_292 ),
inference(forward_subsumption_resolution,[],[f33361,f32654]) ).
thf(f33434,plain,
( spl0_324
| spl0_325
| ~ spl0_54
| ~ spl0_57
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f33376,f23939,f1744,f1622,f24984,f24974]) ).
thf(f33435,plain,
( spl0_324
| ~ spl0_54
| spl0_357 ),
inference(avatar_split_clause,[],[f33378,f26047,f1622,f24974]) ).
thf(f33442,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_3
| spl0_7
| spl0_292
| spl0_357 ),
inference(forward_subsumption_resolution,[],[f33383,f32654]) ).
thf(f33454,plain,
( spl0_355
| ~ spl0_83
| spl0_292
| spl0_357 ),
inference(avatar_split_clause,[],[f33421,f26047,f24152,f5019,f25818]) ).
thf(f33458,plain,
( spl0_324
| ~ spl0_89
| spl0_279
| spl0_292 ),
inference(avatar_split_clause,[],[f33429,f24152,f23867,f6124,f24974]) ).
thf(f33464,plain,
( spl0_324
| ~ spl0_3
| spl0_7
| spl0_292
| spl0_357 ),
inference(avatar_split_clause,[],[f33442,f26047,f24152,f93,f59,f24974]) ).
thf(f33477,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_459 ),
inference(avatar_component_clause,[],[f28664]) ).
thf(f33489,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_83
| ~ spl0_298 ),
inference(forward_subsumption_resolution,[],[f29301,f31]) ).
thf(f33491,plain,
( ~ spl0_279
| spl0_325
| ~ spl0_56
| ~ spl0_290 ),
inference(avatar_split_clause,[],[f29225,f24132,f1690,f24984,f23867]) ).
thf(f33492,plain,
( ~ spl0_357
| ~ spl0_289
| ~ spl0_461 ),
inference(avatar_split_clause,[],[f29157,f28729,f23939,f26047]) ).
thf(f33504,plain,
( spl0_294
| ~ spl0_357
| spl0_370
| ~ spl0_83
| ~ spl0_298 ),
inference(avatar_split_clause,[],[f33489,f24229,f5019,f26903,f26047,f24177]) ).
thf(f33544,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_3
| spl0_7
| ~ spl0_12
| ~ spl0_56
| spl0_324 ),
inference(constrained_superposition,[],[f33346,f4763]) ).
thf(f33546,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_324
| ~ spl0_345 ),
inference(constrained_superposition,[],[f33346,f25389]) ).
thf(f33565,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_324
| ~ spl0_345 ),
inference(trivial_inequality_removal,[],[f33546]) ).
thf(f33566,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_3
| spl0_7
| ~ spl0_12
| ~ spl0_56
| spl0_324 ),
inference(trivial_inequality_removal,[],[f33544]) ).
thf(f33576,plain,
( spl0_296
| spl0_324
| ~ spl0_345 ),
inference(avatar_split_clause,[],[f33565,f25388,f24974,f24207]) ).
thf(f33577,plain,
( spl0_385
| ~ spl0_3
| spl0_7
| ~ spl0_12
| ~ spl0_56
| spl0_324 ),
inference(avatar_split_clause,[],[f33566,f24974,f1690,f217,f93,f59,f27454]) ).
thf(f33737,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_544 ),
inference(constrained_superposition,[],[f32890,f30]) ).
thf(f33738,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_544 ),
inference(trivial_inequality_removal,[],[f33737]) ).
thf(f33766,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_54
| ~ spl0_550 ),
inference(constrained_superposition,[],[f2107,f33330]) ).
thf(f33776,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_54
| ~ spl0_550 ),
inference(trivial_inequality_removal,[],[f33766]) ).
thf(f33782,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_54
| ~ spl0_550 ),
inference(forward_subsumption_resolution,[],[f33776,f31]) ).
thf(f33784,plain,
( spl0_558
| ~ spl0_54
| ~ spl0_550 ),
inference(avatar_split_clause,[],[f33782,f33030,f1622,f33343]) ).
thf(f33789,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_469 ),
inference(constrained_superposition,[],[f30193,f488]) ).
thf(f33794,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_469 ),
inference(trivial_inequality_removal,[],[f33789]) ).
thf(f33940,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_54
| ~ spl0_57
| ~ spl0_83
| ~ spl0_532 ),
inference(constrained_superposition,[],[f5945,f32724]) ).
thf(f33987,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_54
| ~ spl0_57
| ~ spl0_83
| ~ spl0_532 ),
inference(trivial_inequality_removal,[],[f33940]) ).
thf(f34013,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_54
| ~ spl0_57
| ~ spl0_83
| spl0_324
| ~ spl0_532 ),
inference(forward_subsumption_resolution,[],[f33987,f33346]) ).
thf(f34026,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_54
| ~ spl0_57
| ~ spl0_83
| spl0_324
| ~ spl0_532 ),
inference(forward_subsumption_resolution,[],[f34013,f31]) ).
thf(f34037,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_540 ),
inference(avatar_component_clause,[],[f32846]) ).
thf(f34048,plain,
( spl0_540
| ~ spl0_54
| ~ spl0_57
| ~ spl0_83
| spl0_324
| ~ spl0_532 ),
inference(avatar_split_clause,[],[f34026,f32723,f24974,f5019,f1744,f1622,f32846]) ).
thf(f34049,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_540 ),
inference(constrained_superposition,[],[f45,f34037]) ).
thf(f34068,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_540 ),
inference(trivial_inequality_removal,[],[f34049]) ).
thf(f34076,plain,
( spl0_558
| ~ spl0_1
| ~ spl0_540 ),
inference(avatar_split_clause,[],[f34068,f32846,f44,f33343]) ).
thf(f34108,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_449
| ~ spl0_533 ),
inference(constrained_superposition,[],[f28367,f32728]) ).
thf(f34158,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_449
| ~ spl0_533 ),
inference(trivial_inequality_removal,[],[f34108]) ).
thf(f34214,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_541 ),
inference(constrained_superposition,[],[f32879,f487]) ).
thf(f34221,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_541 ),
inference(trivial_inequality_removal,[],[f34214]) ).
thf(f34227,definition,
( spl0_570
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_570])],[avatar_definition]) ).
thf(f34228,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_570 ),
inference(avatar_component_clause,[],[f34227]) ).
thf(f34229,plain,
( spl0_21
| spl0_570
| ~ spl0_541 ),
inference(avatar_split_clause,[],[f34221,f32878,f34227,f507]) ).
thf(f34343,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_551 ),
inference(constrained_superposition,[],[f33035,f34]) ).
thf(f34354,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_551 ),
inference(trivial_inequality_removal,[],[f34343]) ).
thf(f34362,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_31
| ~ spl0_551 ),
inference(forward_subsumption_resolution,[],[f34354,f25016]) ).
thf(f34363,plain,
( spl0_553
| ~ spl0_31
| ~ spl0_551 ),
inference(avatar_split_clause,[],[f34362,f33034,f642,f33072]) ).
thf(f34438,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_56
| ~ spl0_535 ),
inference(constrained_superposition,[],[f32805,f1691]) ).
thf(f34449,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_56
| ~ spl0_535 ),
inference(trivial_inequality_removal,[],[f34438]) ).
thf(f34505,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= z )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_57
| ~ spl0_385 ),
inference(constrained_superposition,[],[f2458,f27455]) ).
thf(f34524,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= z )
| ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_57
| ~ spl0_385 ),
inference(trivial_inequality_removal,[],[f34505]) ).
thf(f34528,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_57
| ~ spl0_385 ),
inference(forward_subsumption_resolution,[],[f34524,f31]) ).
thf(f36409,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_296 ),
inference(avatar_component_clause,[],[f24207]) ).
thf(f36609,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_12
| ~ spl0_56
| ~ spl0_57
| ~ spl0_80
| spl0_296 ),
inference(extensionality_resolution,[],[f9529,f36409]) ).
thf(f36611,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_80
| spl0_296 ),
inference(extensionality_resolution,[],[f5907,f36409]) ).
thf(f36612,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_80
| spl0_296 ),
inference(extensionality_resolution,[],[f5907,f36409]) ).
thf(f36615,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_3
| spl0_296 ),
inference(extensionality_resolution,[],[f3735,f36409]) ).
thf(f36617,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_3
| spl0_296 ),
inference(extensionality_resolution,[],[f3660,f36409]) ).
thf(f36618,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_3
| spl0_296 ),
inference(extensionality_resolution,[],[f3660,f36409]) ).
thf(f36619,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_3
| spl0_296 ),
inference(extensionality_resolution,[],[f2204,f36409]) ).
thf(f36621,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_296 ),
inference(extensionality_resolution,[],[f75,f36409]) ).
thf(f36622,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_296 ),
inference(extensionality_resolution,[],[f75,f36409]) ).
thf(f36623,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_296 ),
inference(extensionality_resolution,[],[f36,f36409]) ).
thf(f36624,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_296 ),
inference(extensionality_resolution,[],[f36,f36409]) ).
thf(f36628,definition,
( spl0_616
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_616])],[avatar_definition]) ).
thf(f36629,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_616 ),
inference(avatar_component_clause,[],[f36628]) ).
thf(f36631,definition,
( spl0_617
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_617])],[avatar_definition]) ).
thf(f36632,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_617 ),
inference(avatar_component_clause,[],[f36631]) ).
thf(f36633,plain,
( spl0_616
| spl0_617
| spl0_296 ),
inference(avatar_split_clause,[],[f36622,f24207,f36631,f36628]) ).
thf(f36635,definition,
( spl0_618
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_618])],[avatar_definition]) ).
thf(f36636,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_618 ),
inference(avatar_component_clause,[],[f36635]) ).
thf(f36638,definition,
( spl0_619
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_619])],[avatar_definition]) ).
thf(f36639,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_619 ),
inference(avatar_component_clause,[],[f36638]) ).
thf(f36640,plain,
( spl0_618
| spl0_619
| spl0_296 ),
inference(avatar_split_clause,[],[f36621,f24207,f36638,f36635]) ).
thf(f36642,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_81
| ~ spl0_616 ),
inference(constrained_superposition,[],[f5012,f36629]) ).
thf(f36646,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_22
| ~ spl0_616 ),
inference(constrained_superposition,[],[f512,f36629]) ).
thf(f36663,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_616 ),
inference(trivial_inequality_removal,[],[f36646]) ).
thf(f36665,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_81
| ~ spl0_616 ),
inference(trivial_inequality_removal,[],[f36642]) ).
thf(f36681,definition,
( spl0_622
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_622])],[avatar_definition]) ).
thf(f36682,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_622 ),
inference(avatar_component_clause,[],[f36681]) ).
thf(f36683,plain,
( ~ spl0_622
| spl0_316
| ~ spl0_22
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f36663,f36628,f511,f24383,f36681]) ).
thf(f36684,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_81
| ~ spl0_449
| ~ spl0_533
| ~ spl0_616 ),
inference(forward_subsumption_resolution,[],[f36665,f34158]) ).
thf(f36690,definition,
( spl0_624
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_624])],[avatar_definition]) ).
thf(f36691,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_624 ),
inference(avatar_component_clause,[],[f36690]) ).
thf(f36697,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_81
| ~ spl0_449
| spl0_459
| ~ spl0_533
| ~ spl0_616 ),
inference(forward_subsumption_resolution,[],[f36684,f33477]) ).
thf(f36698,plain,
( spl0_294
| ~ spl0_81
| ~ spl0_449
| spl0_459
| ~ spl0_533
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f36697,f36628,f32727,f28664,f28366,f5011,f24177]) ).
thf(f36709,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_54
| ~ spl0_617 ),
inference(constrained_superposition,[],[f2107,f36632]) ).
thf(f36711,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_54
| ~ spl0_617 ),
inference(constrained_superposition,[],[f3265,f36632]) ).
thf(f36716,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_323
| ~ spl0_617 ),
inference(constrained_superposition,[],[f24972,f36632]) ).
thf(f36717,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_290
| ~ spl0_617 ),
inference(constrained_superposition,[],[f24133,f36632]) ).
thf(f36745,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_323
| ~ spl0_617 ),
inference(trivial_inequality_removal,[],[f36716]) ).
thf(f36747,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_290
| ~ spl0_617 ),
inference(trivial_inequality_removal,[],[f36717]) ).
thf(f36748,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_54
| ~ spl0_617 ),
inference(trivial_inequality_removal,[],[f36711]) ).
thf(f36751,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_54
| ~ spl0_617 ),
inference(trivial_inequality_removal,[],[f36709]) ).
thf(f36779,definition,
( spl0_626
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_626])],[avatar_definition]) ).
thf(f36780,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_626 ),
inference(avatar_component_clause,[],[f36779]) ).
thf(f36784,plain,
( $false
| ~ spl0_323
| ~ spl0_550
| ~ spl0_617 ),
inference(forward_subsumption_resolution,[],[f36745,f33330]) ).
thf(f36785,plain,
( ~ spl0_323
| ~ spl0_550
| ~ spl0_617 ),
inference(avatar_contradiction_clause,[],[f36784]) ).
thf(f36787,plain,
( $false
| ~ spl0_290
| ~ spl0_533
| ~ spl0_617 ),
inference(forward_subsumption_resolution,[],[f36747,f32728]) ).
thf(f36788,plain,
( ~ spl0_290
| ~ spl0_533
| ~ spl0_617 ),
inference(avatar_contradiction_clause,[],[f36787]) ).
thf(f36789,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_54
| ~ spl0_370
| ~ spl0_617 ),
inference(forward_subsumption_resolution,[],[f36748,f26904]) ).
thf(f36791,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_54
| ~ spl0_617 ),
inference(forward_subsumption_resolution,[],[f36751,f31]) ).
thf(f36809,plain,
( spl0_539
| spl0_553
| ~ spl0_54
| ~ spl0_370
| ~ spl0_617 ),
inference(avatar_split_clause,[],[f36789,f36631,f26903,f1622,f33072,f32841]) ).
thf(f36811,plain,
( spl0_626
| ~ spl0_54
| ~ spl0_617 ),
inference(avatar_split_clause,[],[f36791,f36631,f1622,f36779]) ).
thf(f36830,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_443 ),
inference(constrained_superposition,[],[f28290,f487]) ).
thf(f36839,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_443 ),
inference(trivial_inequality_removal,[],[f36830]) ).
thf(f36844,plain,
( spl0_316
| ~ spl0_443 ),
inference(avatar_split_clause,[],[f36839,f28289,f24383]) ).
thf(f36845,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_622 ),
inference(constrained_superposition,[],[f36682,f487]) ).
thf(f36852,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_622 ),
inference(trivial_inequality_removal,[],[f36845]) ).
thf(f36856,plain,
( spl0_570
| spl0_622 ),
inference(avatar_split_clause,[],[f36852,f36681,f34227]) ).
thf(f36876,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_36
| ~ spl0_570 ),
inference(constrained_superposition,[],[f1610,f34228]) ).
thf(f36877,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_69
| ~ spl0_570 ),
inference(constrained_superposition,[],[f3459,f34228]) ).
thf(f36883,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_570 ),
inference(constrained_superposition,[],[f2985,f34228]) ).
thf(f36912,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_570 ),
inference(trivial_inequality_removal,[],[f36883]) ).
thf(f36920,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_36
| ~ spl0_570 ),
inference(trivial_inequality_removal,[],[f36876]) ).
thf(f36923,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_69
| ~ spl0_570 ),
inference(trivial_inequality_removal,[],[f36877]) ).
thf(f36944,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_51
| ~ spl0_570 ),
inference(forward_subsumption_resolution,[],[f36912,f1400]) ).
thf(f36950,plain,
( $false
| ~ spl0_36
| ~ spl0_550
| ~ spl0_570 ),
inference(forward_subsumption_resolution,[],[f36920,f33330]) ).
thf(f36951,plain,
( ~ spl0_36
| ~ spl0_550
| ~ spl0_570 ),
inference(avatar_contradiction_clause,[],[f36950]) ).
thf(f36952,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_69
| ~ spl0_570 ),
inference(forward_subsumption_resolution,[],[f36923,f31]) ).
thf(f36966,plain,
( $false
| ~ spl0_1
| spl0_51
| ~ spl0_550
| ~ spl0_570 ),
inference(forward_subsumption_resolution,[],[f36944,f33330]) ).
thf(f36967,plain,
( ~ spl0_1
| spl0_51
| ~ spl0_550
| ~ spl0_570 ),
inference(avatar_contradiction_clause,[],[f36966]) ).
thf(f36975,plain,
( spl0_539
| ~ spl0_69
| ~ spl0_570 ),
inference(avatar_split_clause,[],[f36952,f34227,f3458,f32841]) ).
thf(f37007,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_36
| ~ spl0_316 ),
inference(constrained_superposition,[],[f1610,f24384]) ).
thf(f37008,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_69
| ~ spl0_316 ),
inference(constrained_superposition,[],[f3459,f24384]) ).
thf(f37013,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_57
| ~ spl0_316
| ~ spl0_385 ),
inference(constrained_superposition,[],[f34528,f24384]) ).
thf(f37014,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_316 ),
inference(constrained_superposition,[],[f2985,f24384]) ).
thf(f37031,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_36
| ~ spl0_316 ),
inference(trivial_inequality_removal,[],[f37007]) ).
thf(f37033,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_57
| ~ spl0_316
| ~ spl0_385 ),
inference(trivial_inequality_removal,[],[f37013]) ).
thf(f37050,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_69
| ~ spl0_316 ),
inference(trivial_inequality_removal,[],[f37008]) ).
thf(f37059,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_316 ),
inference(trivial_inequality_removal,[],[f37014]) ).
thf(f37080,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_69
| ~ spl0_316 ),
inference(forward_subsumption_resolution,[],[f37050,f31]) ).
thf(f37100,plain,
( spl0_294
| ~ spl0_69
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f37080,f24383,f3458,f24177]) ).
thf(f37121,plain,
( spl0_325
| spl0_324
| spl0_286
| ~ spl0_3
| spl0_296 ),
inference(avatar_split_clause,[],[f36618,f24207,f59,f23929,f24974,f24984]) ).
thf(f37122,plain,
( spl0_617
| spl0_325
| spl0_550
| ~ spl0_80
| spl0_296 ),
inference(avatar_split_clause,[],[f36612,f24207,f5007,f33030,f24984,f36631]) ).
thf(f37123,plain,
( spl0_550
| spl0_618
| spl0_325
| ~ spl0_80
| spl0_296 ),
inference(avatar_split_clause,[],[f36611,f24207,f5007,f24984,f36635,f33030]) ).
thf(f37131,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_292
| spl0_544 ),
inference(forward_subsumption_resolution,[],[f33738,f32654]) ).
thf(f37141,definition,
( spl0_630
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_630])],[avatar_definition]) ).
thf(f37142,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_630 ),
inference(avatar_component_clause,[],[f37141]) ).
thf(f37150,plain,
( spl0_51
| ~ spl0_325
| ~ spl0_1
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f37059,f24383,f44,f24984,f1394]) ).
thf(f37151,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| spl0_7
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f9746,f31]) ).
thf(f37152,plain,
( spl0_550
| ~ spl0_279
| ~ spl0_56
| ~ spl0_535 ),
inference(avatar_split_clause,[],[f34449,f32804,f1690,f23867,f33030]) ).
thf(f37154,plain,
( spl0_550
| spl0_325
| ~ spl0_12
| ~ spl0_56
| ~ spl0_57
| ~ spl0_80
| spl0_296 ),
inference(avatar_split_clause,[],[f36609,f24207,f5007,f1744,f1690,f217,f24984,f33030]) ).
thf(f37159,plain,
( spl0_51
| ~ spl0_34
| ~ spl0_12
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1574,f588,f217,f791,f1394]) ).
thf(f37160,plain,
( spl0_89
| spl0_7
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f6101,f5007,f93,f6124]) ).
thf(f37161,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_29
| spl0_78 ),
inference(forward_subsumption_resolution,[],[f4505,f23729]) ).
thf(f37162,plain,
( ~ spl0_325
| ~ spl0_36
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f37031,f24383,f1009,f24984]) ).
thf(f37163,plain,
( spl0_325
| spl0_289
| ~ spl0_378
| ~ spl0_3
| spl0_296 ),
inference(avatar_split_clause,[],[f36619,f24207,f59,f27367,f23939,f24984]) ).
thf(f37165,plain,
( spl0_288
| spl0_289
| spl0_296 ),
inference(avatar_split_clause,[],[f36623,f24207,f23939,f23936]) ).
thf(f37166,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_357 ),
inference(avatar_component_clause,[],[f26047]) ).
thf(f37169,plain,
( spl0_24
| spl0_25
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1722,f100,f521,f518]) ).
thf(f37170,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_29
| ~ spl0_81
| ~ spl0_315 ),
inference(forward_subsumption_resolution,[],[f28421,f23729]) ).
thf(f37172,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_81
| spl0_292
| ~ spl0_314 ),
inference(forward_subsumption_resolution,[],[f29511,f32654]) ).
thf(f37179,plain,
( spl0_286
| spl0_287
| spl0_296 ),
inference(avatar_split_clause,[],[f36624,f24207,f23932,f23929]) ).
thf(f37180,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_29
| ~ spl0_57
| ~ spl0_316
| ~ spl0_385 ),
inference(forward_subsumption_resolution,[],[f37033,f23729]) ).
thf(f37183,plain,
( spl0_289
| spl0_325
| spl0_324
| ~ spl0_3
| spl0_296 ),
inference(avatar_split_clause,[],[f36617,f24207,f59,f24974,f24984,f23939]) ).
thf(f37189,plain,
( spl0_357
| spl0_292
| spl0_544 ),
inference(avatar_split_clause,[],[f37131,f32889,f24152,f26047]) ).
thf(f37193,plain,
( spl0_89
| spl0_7
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f37151,f9668,f93,f6124]) ).
thf(f37195,plain,
( spl0_25
| spl0_29
| spl0_78 ),
inference(avatar_split_clause,[],[f37161,f4499,f591,f521]) ).
thf(f37197,plain,
( spl0_25
| spl0_357
| spl0_29
| ~ spl0_81
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f37170,f24377,f5011,f591,f26047,f521]) ).
thf(f37198,plain,
( spl0_25
| spl0_357
| ~ spl0_81
| spl0_292
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f37172,f24372,f24152,f5011,f26047,f521]) ).
thf(f37199,plain,
( ~ spl0_325
| spl0_29
| ~ spl0_57
| ~ spl0_316
| ~ spl0_385 ),
inference(avatar_split_clause,[],[f37180,f27454,f24383,f1744,f591,f24984]) ).
thf(f37206,plain,
( spl0_36
| spl0_137 ),
inference(avatar_split_clause,[],[f23945,f10880,f1009]) ).
thf(f37214,plain,
( spl0_308
| spl0_324
| spl0_36
| ~ spl0_3
| spl0_29 ),
inference(avatar_split_clause,[],[f23917,f591,f59,f1009,f24974,f24350]) ).
thf(f37220,plain,
( spl0_36
| spl0_300
| spl0_324
| ~ spl0_3
| spl0_29 ),
inference(avatar_split_clause,[],[f23918,f591,f59,f24974,f24238,f1009]) ).
thf(f37223,plain,
( spl0_316
| spl0_325
| spl0_36
| ~ spl0_3
| spl0_292 ),
inference(avatar_split_clause,[],[f32709,f24152,f59,f1009,f24984,f24383]) ).
thf(f37232,plain,
( ~ spl0_137
| spl0_300
| ~ spl0_469 ),
inference(avatar_split_clause,[],[f33794,f30192,f24238,f10880]) ).
thf(f37247,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f508,f73]) ).
thf(f37249,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f508,f35]) ).
thf(f37255,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f37249]) ).
thf(f37257,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f37247]) ).
thf(f37258,plain,
( spl0_36
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f37255,f507,f1009]) ).
thf(f37259,plain,
( spl0_25
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f37257,f507,f521]) ).
thf(f37261,plain,
( ~ spl0_7
| spl0_51
| ~ spl0_1
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f2997,f588,f44,f1394,f93]) ).
thf(f37293,plain,
( ( $true != $true )
| ( $true
= ( b @ z @ ( s @ z ) ) )
| spl0_34 ),
inference(constrained_superposition,[],[f792,f34]) ).
thf(f37294,plain,
( ( $true
= ( b @ z @ ( s @ z ) ) )
| spl0_34 ),
inference(trivial_inequality_removal,[],[f37293]) ).
thf(f37301,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| spl0_34 ),
inference(constrained_superposition,[],[f27,f37294]) ).
thf(f37305,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| spl0_34 ),
inference(trivial_inequality_removal,[],[f37301]) ).
thf(f37310,plain,
( spl0_54
| spl0_8
| spl0_34 ),
inference(avatar_split_clause,[],[f37305,f791,f97,f1622]) ).
thf(f37349,plain,
( ( $true != $true )
| ~ spl0_59
| spl0_459 ),
inference(constrained_superposition,[],[f33477,f1752]) ).
thf(f37351,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_57
| ~ spl0_59 ),
inference(constrained_superposition,[],[f2458,f1752]) ).
thf(f37362,plain,
( $false
| ~ spl0_59
| spl0_459 ),
inference(trivial_inequality_removal,[],[f37349]) ).
thf(f37363,plain,
( ~ spl0_59
| spl0_459 ),
inference(avatar_contradiction_clause,[],[f37362]) ).
thf(f37364,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_57
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f37351]) ).
thf(f37367,plain,
( spl0_262
| ~ spl0_57
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f37364,f1751,f1744,f21884]) ).
thf(f37380,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_305 ),
inference(constrained_superposition,[],[f24336,f73]) ).
thf(f37389,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f37380]) ).
thf(f37424,plain,
( ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_370 ),
inference(constrained_superposition,[],[f28630,f34]) ).
thf(f37425,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_370 ),
inference(trivial_inequality_removal,[],[f37424]) ).
thf(f37426,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| spl0_630 ),
inference(constrained_superposition,[],[f37142,f35]) ).
thf(f37429,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_630 ),
inference(trivial_inequality_removal,[],[f37426]) ).
thf(f37456,plain,
( spl0_303
| spl0_370 ),
inference(avatar_split_clause,[],[f37425,f26903,f24252]) ).
thf(f37457,plain,
( spl0_357
| ~ spl0_305 ),
inference(avatar_split_clause,[],[f37389,f24335,f26047]) ).
thf(f37458,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_51 ),
inference(constrained_superposition,[],[f101,f1395]) ).
thf(f37465,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f37458]) ).
thf(f37471,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_9
| spl0_34
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f37465,f37294]) ).
thf(f37473,plain,
( spl0_25
| ~ spl0_9
| spl0_34
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f37471,f1394,f791,f100,f521]) ).
thf(f37576,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_57
| ~ spl0_357 ),
inference(constrained_superposition,[],[f2458,f37166]) ).
thf(f37588,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_57
| ~ spl0_357 ),
inference(trivial_inequality_removal,[],[f37576]) ).
thf(f37640,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_36 ),
inference(avatar_component_clause,[],[f1009]) ).
thf(f37650,plain,
( spl0_449
| ~ spl0_57
| ~ spl0_357 ),
inference(avatar_split_clause,[],[f37588,f26047,f1744,f28366]) ).
thf(f37656,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_36
| ~ spl0_385 ),
inference(constrained_superposition,[],[f37640,f27455]) ).
thf(f37662,plain,
( ( z
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_36
| ~ spl0_385 ),
inference(trivial_inequality_removal,[],[f37656]) ).
thf(f37667,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_36
| ~ spl0_385 ),
inference(forward_subsumption_resolution,[],[f37662,f31]) ).
thf(f37669,plain,
( $false
| spl0_29
| spl0_36
| ~ spl0_385 ),
inference(forward_subsumption_resolution,[],[f37667,f23729]) ).
thf(f37670,plain,
( spl0_29
| spl0_36
| ~ spl0_385 ),
inference(avatar_contradiction_clause,[],[f37669]) ).
thf(f37680,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_308 ),
inference(constrained_superposition,[],[f1524,f24351]) ).
thf(f37692,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f37680]) ).
thf(f37717,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_314 ),
inference(constrained_superposition,[],[f29336,f30]) ).
thf(f37721,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_314 ),
inference(trivial_inequality_removal,[],[f37717]) ).
thf(f37734,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_296
| spl0_314 ),
inference(forward_subsumption_resolution,[],[f37721,f36409]) ).
thf(f37735,plain,
( spl0_325
| spl0_630 ),
inference(avatar_split_clause,[],[f37429,f37141,f24984]) ).
thf(f37745,plain,
( spl0_300
| spl0_296
| spl0_314 ),
inference(avatar_split_clause,[],[f37734,f24372,f24207,f24238]) ).
thf(f37808,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_553 ),
inference(constrained_superposition,[],[f512,f33073]) ).
thf(f37809,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_553 ),
inference(constrained_superposition,[],[f101,f33073]) ).
thf(f37815,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_553 ),
inference(trivial_inequality_removal,[],[f37809]) ).
thf(f37820,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_553 ),
inference(trivial_inequality_removal,[],[f37808]) ).
thf(f37822,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_9
| spl0_34
| ~ spl0_553 ),
inference(forward_subsumption_resolution,[],[f37815,f37294]) ).
thf(f37828,definition,
( spl0_644
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_644])],[avatar_definition]) ).
thf(f37829,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_644 ),
inference(avatar_component_clause,[],[f37828]) ).
thf(f37831,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_51
| ~ spl0_553 ),
inference(forward_subsumption_resolution,[],[f37820,f1395]) ).
thf(f37832,plain,
( spl0_543
| ~ spl0_9
| spl0_34
| ~ spl0_553 ),
inference(avatar_split_clause,[],[f37822,f33072,f791,f100,f32886]) ).
thf(f37833,plain,
( spl0_570
| ~ spl0_22
| ~ spl0_51
| ~ spl0_553 ),
inference(avatar_split_clause,[],[f37831,f33072,f1394,f511,f34227]) ).
thf(f37891,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_262
| ~ spl0_444 ),
inference(constrained_superposition,[],[f21885,f28295]) ).
thf(f37894,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_262
| ~ spl0_444 ),
inference(trivial_inequality_removal,[],[f37891]) ).
thf(f37903,plain,
( $false
| ~ spl0_25
| ~ spl0_262
| ~ spl0_444 ),
inference(forward_subsumption_resolution,[],[f37894,f522]) ).
thf(f37904,plain,
( ~ spl0_25
| ~ spl0_262
| ~ spl0_444 ),
inference(avatar_contradiction_clause,[],[f37903]) ).
thf(f37973,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_310 ),
inference(constrained_superposition,[],[f24358,f73]) ).
thf(f37981,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f37973]) ).
thf(f37984,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ~ spl0_310
| spl0_357 ),
inference(forward_subsumption_resolution,[],[f37981,f26048]) ).
thf(f37985,plain,
( spl0_10
| ~ spl0_310
| spl0_357 ),
inference(avatar_split_clause,[],[f37984,f26047,f24357,f104]) ).
thf(f38019,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_81
| ~ spl0_287 ),
inference(constrained_superposition,[],[f5012,f23933]) ).
thf(f38022,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_287 ),
inference(constrained_superposition,[],[f512,f23933]) ).
thf(f38029,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_81
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f38019]) ).
thf(f38031,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f38022]) ).
thf(f38050,plain,
( ~ spl0_357
| ~ spl0_12
| ~ spl0_28
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f37692,f24350,f588,f217,f26047]) ).
thf(f38060,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_81
| ~ spl0_287
| spl0_292 ),
inference(forward_subsumption_resolution,[],[f38029,f32654]) ).
thf(f38065,plain,
( spl0_357
| spl0_459
| ~ spl0_81
| ~ spl0_287
| spl0_292 ),
inference(avatar_split_clause,[],[f38060,f24152,f23932,f5011,f28664,f26047]) ).
thf(f38102,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_22
| ~ spl0_288 ),
inference(constrained_superposition,[],[f512,f23937]) ).
thf(f38119,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f38102]) ).
thf(f38136,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_332
| ~ spl0_570 ),
inference(constrained_superposition,[],[f25065,f34228]) ).
thf(f38139,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_570 ),
inference(constrained_superposition,[],[f1524,f34228]) ).
thf(f38150,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_28
| ~ spl0_570 ),
inference(trivial_inequality_removal,[],[f38139]) ).
thf(f38153,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_332
| ~ spl0_570 ),
inference(trivial_inequality_removal,[],[f38136]) ).
thf(f38156,plain,
( $false
| ~ spl0_12
| ~ spl0_28
| ~ spl0_543
| ~ spl0_570 ),
inference(forward_subsumption_resolution,[],[f38150,f32887]) ).
thf(f38157,plain,
( ~ spl0_12
| ~ spl0_28
| ~ spl0_543
| ~ spl0_570 ),
inference(avatar_contradiction_clause,[],[f38156]) ).
thf(f38159,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_28
| ~ spl0_332
| ~ spl0_570 ),
inference(forward_subsumption_resolution,[],[f38153,f589]) ).
thf(f38163,plain,
( $false
| ~ spl0_28
| ~ spl0_332
| spl0_550
| ~ spl0_570 ),
inference(forward_subsumption_resolution,[],[f38159,f33031]) ).
thf(f38164,plain,
( ~ spl0_28
| ~ spl0_332
| spl0_550
| ~ spl0_570 ),
inference(avatar_contradiction_clause,[],[f38163]) ).
thf(f38232,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_88
| ~ spl0_459 ),
inference(constrained_superposition,[],[f6122,f28665]) ).
thf(f38236,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_88
| ~ spl0_459 ),
inference(trivial_inequality_removal,[],[f38232]) ).
thf(f38240,plain,
( $false
| ~ spl0_88
| ~ spl0_325
| ~ spl0_459 ),
inference(forward_subsumption_resolution,[],[f38236,f24985]) ).
thf(f38241,plain,
( ~ spl0_88
| ~ spl0_325
| ~ spl0_459 ),
inference(avatar_contradiction_clause,[],[f38240]) ).
thf(f38244,plain,
( spl0_316
| ~ spl0_315
| ~ spl0_22
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f38119,f23936,f511,f24377,f24383]) ).
thf(f38245,plain,
( spl0_308
| ~ spl0_307
| ~ spl0_22
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f38031,f23932,f511,f24345,f24350]) ).
thf(f38246,plain,
( ( $true
= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| spl0_34 ),
inference(constrained_superposition,[],[f792,f34]) ).
thf(f38247,plain,
( ( $true
= ( b @ z @ ( s @ z ) ) )
| spl0_34 ),
inference(trivial_inequality_removal,[],[f38246]) ).
thf(f38251,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ z )
= X2 )
| ( $true
!= ( b @ z @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ X2 @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| spl0_34 ),
inference(constrained_superposition,[],[f40,f38247]) ).
thf(f38258,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X2 )
| ( $true
!= ( b @ z @ X2 ) )
| ( ( r @ X2 @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| spl0_34 ),
inference(trivial_inequality_removal,[],[f38251]) ).
thf(f38260,plain,
( spl0_83
| spl0_8
| spl0_34 ),
inference(avatar_split_clause,[],[f38258,f791,f97,f5019]) ).
thf(f38269,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_88
| ~ spl0_357 ),
inference(constrained_superposition,[],[f6122,f37166]) ).
thf(f38280,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_88
| ~ spl0_357 ),
inference(trivial_inequality_removal,[],[f38269]) ).
thf(f38283,plain,
( $false
| ~ spl0_88
| ~ spl0_324
| ~ spl0_357 ),
inference(forward_subsumption_resolution,[],[f38280,f24975]) ).
thf(f38284,plain,
( ~ spl0_88
| ~ spl0_324
| ~ spl0_357 ),
inference(avatar_contradiction_clause,[],[f38283]) ).
thf(f38293,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_36
| ~ spl0_96 ),
inference(constrained_superposition,[],[f37640,f8342]) ).
thf(f38299,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_36
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f38293]) ).
thf(f38306,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_36
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f38299,f31]) ).
thf(f38310,plain,
( $false
| spl0_29
| spl0_36
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f38306,f23729]) ).
thf(f38311,plain,
( spl0_29
| spl0_36
| ~ spl0_96 ),
inference(avatar_contradiction_clause,[],[f38310]) ).
thf(f38314,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_315 ),
inference(constrained_superposition,[],[f4493,f24378]) ).
thf(f38328,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_315 ),
inference(trivial_inequality_removal,[],[f38314]) ).
thf(f38439,plain,
( spl0_21
| spl0_452
| spl0_300
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f38328,f24377,f24238,f28395,f507]) ).
thf(f38440,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_264
| ~ spl0_279 ),
inference(constrained_superposition,[],[f22616,f28300]) ).
thf(f38453,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_264
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f38440]) ).
thf(f38463,plain,
( $false
| spl0_29
| ~ spl0_264
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f38453,f23729]) ).
thf(f38464,plain,
( spl0_29
| ~ spl0_264
| ~ spl0_279 ),
inference(avatar_contradiction_clause,[],[f38463]) ).
thf(f38537,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_449 ),
inference(constrained_superposition,[],[f28367,f34]) ).
thf(f38544,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_449 ),
inference(trivial_inequality_removal,[],[f38537]) ).
thf(f38607,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_531 ),
inference(constrained_superposition,[],[f512,f32721]) ).
thf(f38615,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_531 ),
inference(trivial_inequality_removal,[],[f38607]) ).
thf(f38631,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_81
| ~ spl0_534 ),
inference(constrained_superposition,[],[f5012,f32731]) ).
thf(f38632,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_534 ),
inference(constrained_superposition,[],[f478,f32731]) ).
thf(f38634,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_534 ),
inference(constrained_superposition,[],[f512,f32731]) ).
thf(f38635,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_534 ),
inference(constrained_superposition,[],[f101,f32731]) ).
thf(f38641,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_534 ),
inference(trivial_inequality_removal,[],[f38632]) ).
thf(f38642,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_81
| ~ spl0_534 ),
inference(trivial_inequality_removal,[],[f38631]) ).
thf(f38648,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_534 ),
inference(trivial_inequality_removal,[],[f38635]) ).
thf(f38651,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_534 ),
inference(trivial_inequality_removal,[],[f38634]) ).
thf(f38653,definition,
( spl0_647
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_647])],[avatar_definition]) ).
thf(f38654,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_647 ),
inference(avatar_component_clause,[],[f38653]) ).
thf(f38655,plain,
( spl0_624
| spl0_647
| spl0_305
| ~ spl0_534 ),
inference(avatar_split_clause,[],[f38641,f32730,f24335,f38653,f36690]) ).
thf(f38658,definition,
( spl0_648
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_648])],[avatar_definition]) ).
thf(f38659,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_648 ),
inference(avatar_component_clause,[],[f38658]) ).
thf(f38666,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_288
| ~ spl0_310 ),
inference(constrained_superposition,[],[f24358,f23937]) ).
thf(f38668,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_310
| ~ spl0_315 ),
inference(constrained_superposition,[],[f24358,f24378]) ).
thf(f38669,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_310 ),
inference(constrained_superposition,[],[f24358,f487]) ).
thf(f38677,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_288
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f38666]) ).
thf(f38679,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_310
| ~ spl0_315 ),
inference(trivial_inequality_removal,[],[f38668]) ).
thf(f38680,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f38669]) ).
thf(f38684,plain,
( spl0_443
| ~ spl0_288
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f38677,f24357,f23936,f28289]) ).
thf(f38685,plain,
( spl0_21
| ~ spl0_310
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f38679,f24377,f24357,f507]) ).
thf(f38686,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| spl0_308
| ~ spl0_310 ),
inference(forward_subsumption_resolution,[],[f38680,f30612]) ).
thf(f38688,plain,
( spl0_21
| spl0_308
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f38686,f24357,f24350,f507]) ).
thf(f38693,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_312 ),
inference(constrained_superposition,[],[f24365,f488]) ).
thf(f38700,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_312 ),
inference(trivial_inequality_removal,[],[f38693]) ).
thf(f38732,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_357
| ~ spl0_366 ),
inference(constrained_superposition,[],[f26619,f37166]) ).
thf(f38739,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_357
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f38732]) ).
thf(f38747,plain,
( $false
| ~ spl0_25
| ~ spl0_357
| ~ spl0_366 ),
inference(forward_subsumption_resolution,[],[f38739,f522]) ).
thf(f38748,plain,
( ~ spl0_25
| ~ spl0_357
| ~ spl0_366 ),
inference(avatar_contradiction_clause,[],[f38747]) ).
thf(f38750,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_316
| ~ spl0_462 ),
inference(constrained_superposition,[],[f28742,f24384]) ).
thf(f38761,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_316
| ~ spl0_462 ),
inference(trivial_inequality_removal,[],[f38750]) ).
thf(f38765,plain,
( $false
| ~ spl0_28
| ~ spl0_316
| ~ spl0_462 ),
inference(forward_subsumption_resolution,[],[f38761,f589]) ).
thf(f38766,plain,
( ~ spl0_28
| ~ spl0_316
| ~ spl0_462 ),
inference(avatar_contradiction_clause,[],[f38765]) ).
thf(f38787,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_644 ),
inference(constrained_superposition,[],[f37829,f488]) ).
thf(f38794,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_644 ),
inference(trivial_inequality_removal,[],[f38787]) ).
thf(f38796,plain,
( spl0_648
| ~ spl0_137
| ~ spl0_644 ),
inference(avatar_split_clause,[],[f38794,f37828,f10880,f38658]) ).
thf(f38803,plain,
( ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_1
| ~ spl0_647 ),
inference(constrained_superposition,[],[f2985,f38654]) ).
thf(f38813,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_1
| ~ spl0_647 ),
inference(trivial_inequality_removal,[],[f38803]) ).
thf(f38886,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_81
| ~ spl0_616 ),
inference(constrained_superposition,[],[f5012,f36629]) ).
thf(f38908,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_81
| ~ spl0_616 ),
inference(trivial_inequality_removal,[],[f38886]) ).
thf(f38919,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_81
| spl0_459
| ~ spl0_616 ),
inference(forward_subsumption_resolution,[],[f38908,f33477]) ).
thf(f38920,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_315
| ~ spl0_531 ),
inference(forward_subsumption_resolution,[],[f38615,f24378]) ).
thf(f38922,plain,
( spl0_294
| spl0_543
| ~ spl0_81
| spl0_459
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f38919,f36628,f28664,f5011,f32886,f24177]) ).
thf(f38923,plain,
( spl0_570
| ~ spl0_22
| ~ spl0_315
| ~ spl0_531 ),
inference(avatar_split_clause,[],[f38920,f32720,f24377,f511,f34227]) ).
thf(f38926,plain,
( ~ spl0_622
| spl0_308
| ~ spl0_22
| ~ spl0_534 ),
inference(avatar_split_clause,[],[f38651,f32730,f511,f24350,f36681]) ).
thf(f38928,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[],[f7956,f31]) ).
thf(f38929,plain,
( ~ spl0_34
| spl0_297
| ~ spl0_449 ),
inference(avatar_split_clause,[],[f38544,f28366,f24216,f791]) ).
thf(f38934,plain,
( spl0_6
| spl0_7
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f3654,f59,f93,f90]) ).
thf(f38939,definition,
( spl0_650
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_650])],[avatar_definition]) ).
thf(f38940,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_650 ),
inference(avatar_component_clause,[],[f38939]) ).
thf(f38941,plain,
( ~ spl0_650
| spl0_357
| ~ spl0_9
| ~ spl0_534 ),
inference(avatar_split_clause,[],[f38648,f32730,f100,f26047,f38939]) ).
thf(f38943,plain,
( ~ spl0_7
| spl0_553
| ~ spl0_1
| ~ spl0_647 ),
inference(avatar_split_clause,[],[f38813,f38653,f44,f33072,f93]) ).
thf(f38946,definition,
( spl0_651
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_651])],[avatar_definition]) ).
thf(f38947,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_651 ),
inference(avatar_component_clause,[],[f38946]) ).
thf(f38948,plain,
( spl0_651
| spl0_7
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f4905,f59,f93,f38946]) ).
thf(f38950,plain,
( spl0_7
| spl0_57
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f3663,f59,f1744,f93]) ).
thf(f38951,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_81
| spl0_292
| ~ spl0_534 ),
inference(forward_subsumption_resolution,[],[f38642,f32654]) ).
thf(f38952,plain,
( spl0_57
| spl0_34
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f38928,f5011,f791,f1744]) ).
thf(f38956,plain,
( spl0_357
| spl0_543
| ~ spl0_81
| spl0_292
| ~ spl0_534 ),
inference(avatar_split_clause,[],[f38951,f32730,f24152,f5011,f32886,f26047]) ).
thf(f38958,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_7
| ~ spl0_12 ),
inference(constrained_superposition,[],[f218,f94]) ).
thf(f38962,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f38958]) ).
thf(f38964,plain,
( spl0_88
| ~ spl0_7
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f38962,f217,f93,f6121]) ).
thf(f38966,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| spl0_58 ),
inference(constrained_superposition,[],[f1748,f30]) ).
thf(f38967,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| spl0_58 ),
inference(trivial_inequality_removal,[],[f38966]) ).
thf(f38968,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_58 ),
inference(forward_subsumption_resolution,[],[f38967,f31]) ).
thf(f38969,plain,
( spl0_34
| spl0_58 ),
inference(avatar_split_clause,[],[f38968,f1747,f791]) ).
thf(f38976,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_34 ),
inference(constrained_superposition,[],[f28,f10695]) ).
thf(f38981,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f38976]) ).
thf(f38984,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_297 ),
inference(constrained_superposition,[],[f512,f24217]) ).
thf(f38996,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_297 ),
inference(trivial_inequality_removal,[],[f38984]) ).
thf(f39063,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_300
| ~ spl0_449 ),
inference(constrained_superposition,[],[f28367,f24239]) ).
thf(f39073,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_300
| ~ spl0_449 ),
inference(trivial_inequality_removal,[],[f39063]) ).
thf(f39077,plain,
( $false
| ~ spl0_25
| ~ spl0_300
| ~ spl0_449 ),
inference(forward_subsumption_resolution,[],[f39073,f522]) ).
thf(f39078,plain,
( ~ spl0_25
| ~ spl0_300
| ~ spl0_449 ),
inference(avatar_contradiction_clause,[],[f39077]) ).
thf(f39119,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_88
| ~ spl0_543 ),
inference(constrained_superposition,[],[f6122,f32887]) ).
thf(f39124,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_88
| ~ spl0_543 ),
inference(trivial_inequality_removal,[],[f39119]) ).
thf(f39142,definition,
( spl0_653
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_653])],[avatar_definition]) ).
thf(f39143,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_653 ),
inference(avatar_component_clause,[],[f39142]) ).
thf(f39144,plain,
( spl0_325
| spl0_653
| ~ spl0_3
| spl0_296 ),
inference(avatar_split_clause,[],[f36615,f24207,f59,f39142,f24984]) ).
thf(f39149,plain,
( ~ spl0_550
| ~ spl0_88
| ~ spl0_543 ),
inference(avatar_split_clause,[],[f39124,f32886,f6121,f33030]) ).
thf(f39152,definition,
( spl0_655
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_655])],[avatar_definition]) ).
thf(f39153,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_655 ),
inference(avatar_component_clause,[],[f39152]) ).
thf(f39155,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_28
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[],[f3709,f6122]) ).
thf(f39157,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_28
| spl0_36
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[],[f39155,f37640]) ).
thf(f39189,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f28,f522]) ).
thf(f39195,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f39189]) ).
thf(f39197,plain,
( spl0_655
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f39195,f521,f39152]) ).
thf(f39236,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_28
| spl0_36
| ~ spl0_88
| ~ spl0_543 ),
inference(constrained_superposition,[],[f39157,f32887]) ).
thf(f39239,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_28
| spl0_36
| ~ spl0_88
| ~ spl0_543 ),
inference(trivial_inequality_removal,[],[f39236]) ).
thf(f39242,plain,
( spl0_294
| ~ spl0_3
| ~ spl0_12
| ~ spl0_28
| spl0_36
| ~ spl0_88
| ~ spl0_543 ),
inference(avatar_split_clause,[],[f39239,f32886,f6121,f1009,f588,f217,f59,f24177]) ).
thf(f39252,definition,
( spl0_658
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_658])],[avatar_definition]) ).
thf(f39253,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_658 ),
inference(avatar_component_clause,[],[f39252]) ).
thf(f39259,plain,
( spl0_324
| spl0_655
| ~ spl0_3
| spl0_29 ),
inference(avatar_split_clause,[],[f23916,f591,f59,f39152,f24974]) ).
thf(f39261,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_3
| spl0_28 ),
inference(constrained_superposition,[],[f1159,f3472]) ).
thf(f39263,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_3
| spl0_28 ),
inference(trivial_inequality_removal,[],[f39261]) ).
thf(f39290,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_253
| spl0_324 ),
inference(constrained_superposition,[],[f33346,f19610]) ).
thf(f39297,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_253
| spl0_324 ),
inference(trivial_inequality_removal,[],[f39290]) ).
thf(f39300,plain,
( $false
| spl0_29
| ~ spl0_253
| spl0_324 ),
inference(forward_subsumption_resolution,[],[f39297,f23729]) ).
thf(f39301,plain,
( spl0_29
| ~ spl0_253
| spl0_324 ),
inference(avatar_contradiction_clause,[],[f39300]) ).
thf(f39305,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_300 ),
inference(constrained_superposition,[],[f28,f24239]) ).
thf(f39307,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_300 ),
inference(trivial_inequality_removal,[],[f39305]) ).
thf(f39312,plain,
( spl0_655
| ~ spl0_300 ),
inference(avatar_split_clause,[],[f39307,f24238,f39152]) ).
thf(f39329,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_650 ),
inference(constrained_superposition,[],[f38940,f73]) ).
thf(f39332,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_650 ),
inference(trivial_inequality_removal,[],[f39329]) ).
thf(f39340,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_3
| ~ spl0_658 ),
inference(constrained_superposition,[],[f39253,f3660]) ).
thf(f39343,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_3
| ~ spl0_658 ),
inference(trivial_inequality_removal,[],[f39340]) ).
thf(f39348,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_88
| ~ spl0_658 ),
inference(forward_subsumption_resolution,[],[f39343,f6122]) ).
thf(f39351,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_3
| spl0_36
| ~ spl0_88
| ~ spl0_658 ),
inference(forward_subsumption_resolution,[],[f39348,f37640]) ).
thf(f39352,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_3
| spl0_36
| ~ spl0_88
| ~ spl0_543
| ~ spl0_658 ),
inference(constrained_superposition,[],[f39351,f32887]) ).
thf(f39355,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_3
| spl0_36
| ~ spl0_88
| ~ spl0_543
| ~ spl0_658 ),
inference(trivial_inequality_removal,[],[f39352]) ).
thf(f39358,plain,
( spl0_294
| ~ spl0_3
| spl0_36
| ~ spl0_88
| ~ spl0_543
| ~ spl0_658 ),
inference(avatar_split_clause,[],[f39355,f39252,f32886,f6121,f1009,f59,f24177]) ).
thf(f39401,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_289 ),
inference(constrained_superposition,[],[f28,f23940]) ).
thf(f39407,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f39401]) ).
thf(f39410,plain,
( spl0_653
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f39407,f23939,f39142]) ).
thf(f39427,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_532 ),
inference(constrained_superposition,[],[f2985,f32724]) ).
thf(f39432,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_532 ),
inference(trivial_inequality_removal,[],[f39427]) ).
thf(f39455,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_286
| ~ spl0_365 ),
inference(constrained_superposition,[],[f26588,f23930]) ).
thf(f39456,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_365
| ~ spl0_533 ),
inference(constrained_superposition,[],[f26588,f32728]) ).
thf(f39459,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_286
| ~ spl0_365 ),
inference(trivial_inequality_removal,[],[f39455]) ).
thf(f39463,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_365
| ~ spl0_533 ),
inference(trivial_inequality_removal,[],[f39456]) ).
thf(f39465,plain,
( $false
| ~ spl0_286
| ~ spl0_316
| ~ spl0_365 ),
inference(forward_subsumption_resolution,[],[f39459,f24384]) ).
thf(f39466,plain,
( ~ spl0_286
| ~ spl0_316
| ~ spl0_365 ),
inference(avatar_contradiction_clause,[],[f39465]) ).
thf(f39487,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_622 ),
inference(constrained_superposition,[],[f36682,f36]) ).
thf(f39490,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_622 ),
inference(trivial_inequality_removal,[],[f39487]) ).
thf(f39494,plain,
( spl0_294
| spl0_570
| spl0_622 ),
inference(avatar_split_clause,[],[f39490,f36681,f34227,f24177]) ).
thf(f39497,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_3
| ~ spl0_365
| ~ spl0_533 ),
inference(constrained_superposition,[],[f39463,f3660]) ).
thf(f39499,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_3
| ~ spl0_365
| ~ spl0_533 ),
inference(trivial_inequality_removal,[],[f39497]) ).
thf(f39501,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_3
| spl0_36
| ~ spl0_365
| ~ spl0_533 ),
inference(forward_subsumption_resolution,[],[f39499,f37640]) ).
thf(f39503,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_3
| spl0_36
| ~ spl0_365
| ~ spl0_533
| spl0_550 ),
inference(forward_subsumption_resolution,[],[f39501,f33031]) ).
thf(f39505,plain,
( spl0_294
| ~ spl0_3
| spl0_36
| ~ spl0_365
| ~ spl0_533
| spl0_550 ),
inference(avatar_split_clause,[],[f39503,f33030,f32727,f26587,f1009,f59,f24177]) ).
thf(f39506,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_1
| ~ spl0_31 ),
inference(constrained_superposition,[],[f45,f25016]) ).
thf(f39512,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_1
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f39506]) ).
thf(f39518,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_5
| ~ spl0_297 ),
inference(constrained_superposition,[],[f67,f24217]) ).
thf(f39521,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_5
| ~ spl0_297 ),
inference(trivial_inequality_removal,[],[f39518]) ).
thf(f39522,plain,
( spl0_305
| ~ spl0_5
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f39521,f24216,f66,f24335]) ).
thf(f39524,plain,
( spl0_543
| spl0_650 ),
inference(avatar_split_clause,[],[f39332,f38939,f32886]) ).
thf(f39528,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_303 ),
inference(constrained_superposition,[],[f512,f24253]) ).
thf(f39529,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_303 ),
inference(constrained_superposition,[],[f101,f24253]) ).
thf(f39541,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_9
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f39529]) ).
thf(f39542,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f39528]) ).
thf(f39560,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_365
| ~ spl0_533 ),
inference(constrained_superposition,[],[f26588,f32728]) ).
thf(f39564,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_365
| ~ spl0_533 ),
inference(trivial_inequality_removal,[],[f39560]) ).
thf(f39588,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_558
| ~ spl0_618 ),
inference(constrained_superposition,[],[f33344,f36636]) ).
thf(f39593,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_558
| ~ spl0_618 ),
inference(trivial_inequality_removal,[],[f39588]) ).
thf(f39598,plain,
( $false
| ~ spl0_325
| ~ spl0_558
| ~ spl0_618 ),
inference(forward_subsumption_resolution,[],[f39593,f24985]) ).
thf(f39599,plain,
( ~ spl0_325
| ~ spl0_558
| ~ spl0_618 ),
inference(avatar_contradiction_clause,[],[f39598]) ).
thf(f39606,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_81
| ~ spl0_619 ),
inference(constrained_superposition,[],[f5012,f36639]) ).
thf(f39609,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_619 ),
inference(constrained_superposition,[],[f512,f36639]) ).
thf(f39617,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_619 ),
inference(trivial_inequality_removal,[],[f39609]) ).
thf(f39623,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_81
| ~ spl0_619 ),
inference(trivial_inequality_removal,[],[f39606]) ).
thf(f39627,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_22
| ~ spl0_365
| ~ spl0_533
| ~ spl0_619 ),
inference(forward_subsumption_resolution,[],[f39617,f39564]) ).
thf(f39631,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_81
| spl0_459
| ~ spl0_619 ),
inference(forward_subsumption_resolution,[],[f39623,f33477]) ).
thf(f39636,plain,
( ~ spl0_307
| ~ spl0_22
| ~ spl0_365
| ~ spl0_533
| ~ spl0_619 ),
inference(avatar_split_clause,[],[f39627,f36638,f32727,f26587,f511,f24345]) ).
thf(f39637,plain,
( spl0_543
| spl0_539
| ~ spl0_81
| spl0_459
| ~ spl0_619 ),
inference(avatar_split_clause,[],[f39631,f36638,f28664,f5011,f32841,f32886]) ).
thf(f39714,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_289
| ~ spl0_454 ),
inference(constrained_superposition,[],[f28505,f23940]) ).
thf(f39722,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_289
| ~ spl0_454 ),
inference(trivial_inequality_removal,[],[f39714]) ).
thf(f39724,plain,
( $false
| ~ spl0_289
| ~ spl0_308
| ~ spl0_454 ),
inference(forward_subsumption_resolution,[],[f39722,f24351]) ).
thf(f39725,plain,
( ~ spl0_289
| ~ spl0_308
| ~ spl0_454 ),
inference(avatar_contradiction_clause,[],[f39724]) ).
thf(f39726,plain,
( ~ spl0_78
| spl0_444
| ~ spl0_312 ),
inference(avatar_split_clause,[],[f38700,f24364,f28294,f4499]) ).
thf(f39746,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_324 ),
inference(constrained_superposition,[],[f28,f24975]) ).
thf(f39748,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f39746]) ).
thf(f39750,plain,
( spl0_653
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f39748,f24974,f39142]) ).
thf(f39759,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_315
| ~ spl0_474 ),
inference(constrained_superposition,[],[f30224,f24378]) ).
thf(f39762,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_315 ),
inference(constrained_superposition,[],[f27,f24378]) ).
thf(f39767,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_315
| ~ spl0_474 ),
inference(trivial_inequality_removal,[],[f39759]) ).
thf(f39768,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_315 ),
inference(trivial_inequality_removal,[],[f39762]) ).
thf(f39777,plain,
( ~ spl0_544
| ~ spl0_315
| ~ spl0_474 ),
inference(avatar_split_clause,[],[f39767,f30223,f24377,f32889]) ).
thf(f39778,plain,
( spl0_452
| spl0_23
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f39768,f24377,f514,f28395]) ).
thf(f39817,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_452 ),
inference(constrained_superposition,[],[f28396,f74]) ).
thf(f39823,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_452 ),
inference(trivial_inequality_removal,[],[f39817]) ).
thf(f39825,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_279
| ~ spl0_452 ),
inference(forward_subsumption_resolution,[],[f39823,f23868]) ).
thf(f39826,plain,
( ~ spl0_26
| spl0_279
| ~ spl0_452 ),
inference(avatar_split_clause,[],[f39825,f28395,f23867,f574]) ).
thf(f39827,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_324
| ~ spl0_532 ),
inference(forward_subsumption_resolution,[],[f39432,f24975]) ).
thf(f39828,plain,
( spl0_316
| ~ spl0_51
| ~ spl0_22
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f39542,f24252,f511,f1394,f24383]) ).
thf(f39829,plain,
( spl0_308
| ~ spl0_51
| ~ spl0_22
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f38996,f24216,f511,f1394,f24350]) ).
thf(f39830,plain,
( spl0_553
| ~ spl0_1
| ~ spl0_324
| ~ spl0_532 ),
inference(avatar_split_clause,[],[f39827,f32723,f24974,f44,f33072]) ).
thf(f39846,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_31
| ~ spl0_308 ),
inference(constrained_superposition,[],[f39512,f24351]) ).
thf(f39848,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_308 ),
inference(constrained_superposition,[],[f28,f24351]) ).
thf(f39849,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_98
| ~ spl0_308 ),
inference(constrained_superposition,[],[f9760,f24351]) ).
thf(f39850,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f39848]) ).
thf(f39851,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_31
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f39846]) ).
thf(f39852,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_98
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f39849]) ).
thf(f39855,plain,
( spl0_653
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f39850,f24350,f39142]) ).
thf(f39856,plain,
( $false
| ~ spl0_1
| ~ spl0_31
| ~ spl0_308
| ~ spl0_324 ),
inference(forward_subsumption_resolution,[],[f39851,f24975]) ).
thf(f39857,plain,
( ~ spl0_1
| ~ spl0_31
| ~ spl0_308
| ~ spl0_324 ),
inference(avatar_contradiction_clause,[],[f39856]) ).
thf(f39858,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_98
| ~ spl0_308 ),
inference(forward_subsumption_resolution,[],[f39852,f31]) ).
thf(f39860,plain,
( spl0_366
| spl0_256
| ~ spl0_98
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f39858,f24350,f9668,f19634,f26618]) ).
thf(f39961,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_469
| ~ spl0_534 ),
inference(constrained_superposition,[],[f30193,f32731]) ).
thf(f39975,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_469
| ~ spl0_534 ),
inference(trivial_inequality_removal,[],[f39961]) ).
thf(f39988,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_469
| ~ spl0_534 ),
inference(constrained_superposition,[],[f39975,f30]) ).
thf(f39990,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_469
| ~ spl0_534 ),
inference(trivial_inequality_removal,[],[f39988]) ).
thf(f39993,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_469
| ~ spl0_534 ),
inference(forward_subsumption_resolution,[],[f39990,f31]) ).
thf(f39994,plain,
( $false
| ~ spl0_469
| ~ spl0_534
| spl0_550 ),
inference(forward_subsumption_resolution,[],[f39993,f33031]) ).
thf(f39995,plain,
( ~ spl0_469
| ~ spl0_534
| spl0_550 ),
inference(avatar_contradiction_clause,[],[f39994]) ).
thf(f40001,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f105,f74]) ).
thf(f40006,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f40001]) ).
thf(f40039,plain,
( ( $true != $true )
| ~ spl0_10
| spl0_28 ),
inference(constrained_superposition,[],[f1159,f40006]) ).
thf(f40050,plain,
( $false
| ~ spl0_10
| spl0_28 ),
inference(trivial_inequality_removal,[],[f40039]) ).
thf(f40051,plain,
( ~ spl0_10
| spl0_28 ),
inference(avatar_contradiction_clause,[],[f40050]) ).
thf(f40075,plain,
( $false
| ~ spl0_35
| spl0_51 ),
inference(forward_subsumption_resolution,[],[f1400,f876]) ).
thf(f40076,plain,
( ~ spl0_35
| spl0_51 ),
inference(avatar_contradiction_clause,[],[f40075]) ).
thf(f40082,plain,
( spl0_1
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f38981,f791,f44]) ).
thf(f40088,plain,
( spl0_7
| spl0_56
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f3664,f59,f1690,f93]) ).
thf(f40090,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_3
| spl0_28
| spl0_36 ),
inference(forward_subsumption_resolution,[],[f39263,f37640]) ).
thf(f40092,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_3
| spl0_28
| spl0_29
| spl0_36 ),
inference(forward_subsumption_resolution,[],[f40090,f23729]) ).
thf(f40094,plain,
( spl0_7
| ~ spl0_3
| spl0_28
| spl0_29
| spl0_36 ),
inference(avatar_split_clause,[],[f40092,f1009,f591,f588,f59,f93]) ).
thf(f40096,plain,
( spl0_459
| ~ spl0_58
| ~ spl0_9
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f39541,f24252,f100,f1747,f28664]) ).
thf(f40101,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_445 ),
inference(constrained_superposition,[],[f28299,f48]) ).
thf(f40112,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_445 ),
inference(trivial_inequality_removal,[],[f40101]) ).
thf(f40121,plain,
( $false
| ~ spl0_2
| ~ spl0_445 ),
inference(forward_subsumption_resolution,[],[f40112,f48]) ).
thf(f40122,plain,
( ~ spl0_2
| ~ spl0_445 ),
inference(avatar_contradiction_clause,[],[f40121]) ).
thf(f40126,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f28,f94]) ).
thf(f40127,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f40126]) ).
thf(f40154,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f27,f1395]) ).
thf(f40155,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X2 )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X2 ) ) )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f40,f1395]) ).
thf(f40159,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f40154]) ).
thf(f40160,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( ( s @ ( s @ z ) )
= X2 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ X2 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f40155]) ).
thf(f40165,plain,
( spl0_49
| spl0_23
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f40159,f1394,f514,f1236]) ).
thf(f40166,plain,
( spl0_23
| spl0_82
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f40160,f1394,f5015,f514]) ).
thf(f40169,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f28,f25819]) ).
thf(f40172,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f40169]) ).
thf(f40174,plain,
( spl0_1
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f40172,f25818,f44]) ).
thf(f40204,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ z )
= X1 )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| ~ spl0_300 ),
inference(constrained_superposition,[],[f3735,f24239]) ).
thf(f40207,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ z )
= X1 )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_300 ),
inference(trivial_inequality_removal,[],[f40204]) ).
thf(f40210,plain,
( spl0_365
| spl0_253
| ~ spl0_3
| ~ spl0_300 ),
inference(avatar_split_clause,[],[f40207,f24238,f59,f19609,f26587]) ).
thf(f40237,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( z
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_98
| ~ spl0_459 ),
inference(constrained_superposition,[],[f9760,f28665]) ).
thf(f40239,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( z
= ( s @ z ) ) )
| ~ spl0_98
| ~ spl0_459 ),
inference(trivial_inequality_removal,[],[f40237]) ).
thf(f40243,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_98
| ~ spl0_459 ),
inference(forward_subsumption_resolution,[],[f40239,f31]) ).
thf(f40245,plain,
( spl0_462
| spl0_96
| ~ spl0_98
| ~ spl0_459 ),
inference(avatar_split_clause,[],[f40243,f28664,f9668,f8341,f28741]) ).
thf(f40330,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_262
| ~ spl0_316 ),
inference(constrained_superposition,[],[f21885,f24384]) ).
thf(f40338,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_262
| ~ spl0_316 ),
inference(trivial_inequality_removal,[],[f40330]) ).
thf(f40345,plain,
( $false
| ~ spl0_262
| ~ spl0_316
| ~ spl0_459 ),
inference(forward_subsumption_resolution,[],[f40338,f28665]) ).
thf(f40346,plain,
( ~ spl0_262
| ~ spl0_316
| ~ spl0_459 ),
inference(avatar_contradiction_clause,[],[f40345]) ).
thf(f40403,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f45,f34]) ).
thf(f40407,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f40403]) ).
thf(f40438,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_288 ),
inference(constrained_superposition,[],[f478,f23937]) ).
thf(f40439,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_288 ),
inference(constrained_superposition,[],[f4981,f23937]) ).
thf(f40449,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f40439]) ).
thf(f40450,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f40438]) ).
thf(f40458,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_279
| ~ spl0_288 ),
inference(forward_subsumption_resolution,[],[f40450,f23868]) ).
thf(f40462,plain,
( spl0_443
| spl0_445
| spl0_279
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f40458,f23936,f23867,f28298,f28289]) ).
thf(f40520,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_326
| ~ spl0_533 ),
inference(constrained_superposition,[],[f24988,f32728]) ).
thf(f40524,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_326
| ~ spl0_533 ),
inference(trivial_inequality_removal,[],[f40520]) ).
thf(f40527,plain,
( $false
| ~ spl0_326
| ~ spl0_533
| ~ spl0_550 ),
inference(forward_subsumption_resolution,[],[f40524,f33330]) ).
thf(f40528,plain,
( ~ spl0_326
| ~ spl0_533
| ~ spl0_550 ),
inference(avatar_contradiction_clause,[],[f40527]) ).
thf(f40532,plain,
( spl0_469
| spl0_443
| spl0_355
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f40449,f23936,f25818,f28289,f30192]) ).
thf(f40556,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_287
| ~ spl0_469 ),
inference(constrained_superposition,[],[f30193,f23933]) ).
thf(f40564,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_287
| ~ spl0_469 ),
inference(trivial_inequality_removal,[],[f40556]) ).
thf(f40567,plain,
( ~ spl0_630
| ~ spl0_287
| ~ spl0_469 ),
inference(avatar_split_clause,[],[f40564,f30192,f23932,f37141]) ).
thf(f40578,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_366
| ~ spl0_532 ),
inference(constrained_superposition,[],[f26619,f32724]) ).
thf(f40588,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_366
| ~ spl0_532 ),
inference(trivial_inequality_removal,[],[f40578]) ).
thf(f40591,plain,
( $false
| ~ spl0_366
| ~ spl0_532
| ~ spl0_648 ),
inference(forward_subsumption_resolution,[],[f40588,f38659]) ).
thf(f40592,plain,
( ~ spl0_366
| ~ spl0_532
| ~ spl0_648 ),
inference(avatar_contradiction_clause,[],[f40591]) ).
thf(f40593,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_461 ),
inference(constrained_superposition,[],[f28730,f34]) ).
thf(f40598,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_461 ),
inference(trivial_inequality_removal,[],[f40593]) ).
thf(f40646,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_532
| ~ spl0_558 ),
inference(constrained_superposition,[],[f33344,f32724]) ).
thf(f40649,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_532
| ~ spl0_558 ),
inference(trivial_inequality_removal,[],[f40646]) ).
thf(f40650,plain,
( $false
| ~ spl0_324
| ~ spl0_532
| ~ spl0_558 ),
inference(forward_subsumption_resolution,[],[f40649,f24975]) ).
thf(f40651,plain,
( ~ spl0_324
| ~ spl0_532
| ~ spl0_558 ),
inference(avatar_contradiction_clause,[],[f40650]) ).
thf(f40659,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_308 ),
inference(constrained_superposition,[],[f40407,f24351]) ).
thf(f40677,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f40659]) ).
thf(f40744,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_618 ),
inference(constrained_superposition,[],[f40407,f36636]) ).
thf(f40748,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_618 ),
inference(trivial_inequality_removal,[],[f40744]) ).
thf(f40796,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_624 ),
inference(constrained_superposition,[],[f36691,f488]) ).
thf(f40802,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_624 ),
inference(trivial_inequality_removal,[],[f40796]) ).
thf(f40837,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_34
| ~ spl0_461 ),
inference(forward_subsumption_resolution,[],[f40598,f10695]) ).
thf(f40838,plain,
( spl0_303
| ~ spl0_34
| ~ spl0_461 ),
inference(avatar_split_clause,[],[f40837,f28729,f791,f24252]) ).
thf(f41174,plain,
( spl0_51
| ~ spl0_324
| ~ spl0_1
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f40677,f24350,f44,f24974,f1394]) ).
thf(f41175,plain,
( spl0_5
| spl0_3 ),
inference(avatar_split_clause,[],[f4980,f59,f66]) ).
thf(f41295,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_617 ),
inference(constrained_superposition,[],[f40407,f36632]) ).
thf(f41300,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_617 ),
inference(trivial_inequality_removal,[],[f41295]) ).
thf(f41315,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_298
| ~ spl0_618 ),
inference(constrained_superposition,[],[f24230,f36636]) ).
thf(f41320,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_298
| ~ spl0_618 ),
inference(trivial_inequality_removal,[],[f41315]) ).
thf(f41324,plain,
( $false
| ~ spl0_298
| ~ spl0_532
| ~ spl0_618 ),
inference(forward_subsumption_resolution,[],[f41320,f32724]) ).
thf(f41325,plain,
( ~ spl0_298
| ~ spl0_532
| ~ spl0_618 ),
inference(avatar_contradiction_clause,[],[f41324]) ).
thf(f41332,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_313 ),
inference(constrained_superposition,[],[f24369,f74]) ).
thf(f41337,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f41332]) ).
thf(f41338,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_311
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f41337,f27407]) ).
thf(f41340,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_311
| ~ spl0_313 ),
inference(constrained_superposition,[],[f41338,f36]) ).
thf(f41344,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_311
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f41340]) ).
thf(f41348,plain,
( ( z
= ( s @ ( s @ z ) ) )
| spl0_279
| spl0_311
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f41344,f23868]) ).
thf(f41351,plain,
( $false
| spl0_279
| spl0_311
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f41348,f31]) ).
thf(f41352,plain,
( spl0_279
| spl0_311
| ~ spl0_313 ),
inference(avatar_contradiction_clause,[],[f41351]) ).
thf(f41380,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_31
| ~ spl0_651 ),
inference(constrained_superposition,[],[f38947,f25016]) ).
thf(f41387,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_289
| ~ spl0_651 ),
inference(constrained_superposition,[],[f38947,f23940]) ).
thf(f41400,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_31
| ~ spl0_651 ),
inference(trivial_inequality_removal,[],[f41380]) ).
thf(f41401,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_289
| ~ spl0_651 ),
inference(trivial_inequality_removal,[],[f41387]) ).
thf(f41416,plain,
( spl0_116
| ~ spl0_31
| ~ spl0_651 ),
inference(avatar_split_clause,[],[f41400,f38946,f642,f10680]) ).
thf(f41417,plain,
( spl0_298
| ~ spl0_289
| ~ spl0_651 ),
inference(avatar_split_clause,[],[f41401,f38946,f23939,f24229]) ).
thf(f41427,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_648
| ~ spl0_655 ),
inference(constrained_superposition,[],[f39153,f38659]) ).
thf(f41428,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_444
| ~ spl0_655 ),
inference(constrained_superposition,[],[f39153,f28295]) ).
thf(f41429,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_300
| ~ spl0_655 ),
inference(constrained_superposition,[],[f39153,f24239]) ).
thf(f41431,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_300
| ~ spl0_655 ),
inference(trivial_inequality_removal,[],[f41429]) ).
thf(f41432,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_648
| ~ spl0_655 ),
inference(trivial_inequality_removal,[],[f41427]) ).
thf(f41434,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_444
| ~ spl0_655 ),
inference(trivial_inequality_removal,[],[f41428]) ).
thf(f41435,plain,
( spl0_365
| ~ spl0_300
| ~ spl0_655 ),
inference(avatar_split_clause,[],[f41431,f39152,f24238,f26587]) ).
thf(f41436,plain,
( spl0_551
| ~ spl0_648
| ~ spl0_655 ),
inference(avatar_split_clause,[],[f41432,f39152,f38658,f33034]) ).
thf(f41437,plain,
( spl0_454
| ~ spl0_444
| ~ spl0_655 ),
inference(avatar_split_clause,[],[f41434,f39152,f28294,f28504]) ).
thf(f41438,plain,
( ~ spl0_78
| spl0_648
| ~ spl0_624 ),
inference(avatar_split_clause,[],[f40802,f36690,f38658,f4499]) ).
thf(f41440,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_365 ),
inference(constrained_superposition,[],[f26588,f34]) ).
thf(f41443,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_365
| ~ spl0_533 ),
inference(constrained_superposition,[],[f26588,f32728]) ).
thf(f41446,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_365
| ~ spl0_533 ),
inference(trivial_inequality_removal,[],[f41443]) ).
thf(f41448,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_365 ),
inference(trivial_inequality_removal,[],[f41440]) ).
thf(f41451,plain,
( $false
| ~ spl0_365
| ~ spl0_533
| ~ spl0_570 ),
inference(forward_subsumption_resolution,[],[f41446,f34228]) ).
thf(f41452,plain,
( ~ spl0_365
| ~ spl0_533
| ~ spl0_570 ),
inference(avatar_contradiction_clause,[],[f41451]) ).
thf(f41453,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_31
| ~ spl0_365 ),
inference(forward_subsumption_resolution,[],[f41448,f25016]) ).
thf(f41454,plain,
( spl0_297
| ~ spl0_31
| ~ spl0_365 ),
inference(avatar_split_clause,[],[f41453,f26587,f642,f24216]) ).
thf(f41455,plain,
( spl0_12
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f40127,f93,f217]) ).
thf(f41457,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_25
| ~ spl0_655 ),
inference(constrained_superposition,[],[f39153,f522]) ).
thf(f41463,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_25
| ~ spl0_655 ),
inference(trivial_inequality_removal,[],[f41457]) ).
thf(f41465,plain,
( spl0_658
| ~ spl0_25
| ~ spl0_655 ),
inference(avatar_split_clause,[],[f41463,f39152,f521,f39252]) ).
thf(f41474,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_279 ),
inference(constrained_superposition,[],[f28,f28300]) ).
thf(f41476,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f41474]) ).
thf(f41478,plain,
( spl0_12
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f41476,f23867,f217]) ).
thf(f41496,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl0_297 ),
inference(constrained_superposition,[],[f27,f24217]) ).
thf(f41499,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( z = X2 )
| ( $true
= ( r @ X2 @ z ) )
| ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ X2 @ X1 ) )
| ( $true != $true )
| ( z = X1 )
| ( X1 = X2 ) )
| ~ spl0_297 ),
inference(constrained_superposition,[],[f8177,f24217]) ).
thf(f41500,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X2 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( z = X1 )
| ( $true
= ( r @ X2 @ z ) )
| ( X1 = X2 )
| ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ X2 @ X1 ) ) )
| ~ spl0_297 ),
inference(trivial_inequality_removal,[],[f41499]) ).
thf(f41503,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_297 ),
inference(trivial_inequality_removal,[],[f41496]) ).
thf(f41507,plain,
( spl0_98
| spl0_305
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f41500,f24216,f24335,f9668]) ).
thf(f41509,plain,
( spl0_469
| spl0_310
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f41503,f24216,f24357,f30192]) ).
thf(f41529,plain,
( ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_658 ),
inference(constrained_superposition,[],[f39253,f34]) ).
thf(f41531,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_658 ),
inference(trivial_inequality_removal,[],[f41529]) ).
thf(f41534,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_34
| ~ spl0_658 ),
inference(forward_subsumption_resolution,[],[f41531,f10695]) ).
thf(f41537,plain,
( $false
| ~ spl0_34
| spl0_51
| ~ spl0_658 ),
inference(forward_subsumption_resolution,[],[f41534,f1400]) ).
thf(f41538,plain,
( ~ spl0_34
| spl0_51
| ~ spl0_658 ),
inference(avatar_contradiction_clause,[],[f41537]) ).
thf(f41559,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_462
| ~ spl0_618 ),
inference(constrained_superposition,[],[f28742,f36636]) ).
thf(f41563,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_462
| ~ spl0_618 ),
inference(trivial_inequality_removal,[],[f41559]) ).
thf(f41569,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_256
| spl0_324 ),
inference(constrained_superposition,[],[f33346,f19635]) ).
thf(f41573,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_256
| spl0_324 ),
inference(trivial_inequality_removal,[],[f41569]) ).
thf(f41579,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_256
| spl0_296
| spl0_324 ),
inference(forward_subsumption_resolution,[],[f41573,f36409]) ).
thf(f41583,plain,
( $false
| ~ spl0_256
| spl0_296
| spl0_324 ),
inference(forward_subsumption_resolution,[],[f41579,f31]) ).
thf(f41584,plain,
( ~ spl0_256
| spl0_296
| spl0_324 ),
inference(avatar_contradiction_clause,[],[f41583]) ).
thf(f41632,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_535
| ~ spl0_618 ),
inference(constrained_superposition,[],[f32805,f36636]) ).
thf(f41635,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_535
| ~ spl0_618 ),
inference(trivial_inequality_removal,[],[f41632]) ).
thf(f41637,plain,
( $false
| ~ spl0_286
| ~ spl0_535
| ~ spl0_618 ),
inference(forward_subsumption_resolution,[],[f41635,f23930]) ).
thf(f41638,plain,
( ~ spl0_286
| ~ spl0_535
| ~ spl0_618 ),
inference(avatar_contradiction_clause,[],[f41637]) ).
thf(f41643,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_545 ),
inference(constrained_superposition,[],[f32894,f74]) ).
thf(f41644,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_545 ),
inference(trivial_inequality_removal,[],[f41643]) ).
thf(f41649,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_462
| ~ spl0_545
| ~ spl0_618 ),
inference(forward_subsumption_resolution,[],[f41644,f41563]) ).
thf(f41651,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_462
| ~ spl0_545
| ~ spl0_618 ),
inference(constrained_superposition,[],[f41649,f36]) ).
thf(f41654,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_462
| ~ spl0_545
| ~ spl0_618 ),
inference(trivial_inequality_removal,[],[f41651]) ).
thf(f41657,plain,
( ( z
= ( s @ ( s @ z ) ) )
| spl0_279
| ~ spl0_462
| ~ spl0_545
| ~ spl0_618 ),
inference(forward_subsumption_resolution,[],[f41654,f23868]) ).
thf(f41662,plain,
( $false
| spl0_279
| ~ spl0_462
| ~ spl0_545
| ~ spl0_618 ),
inference(forward_subsumption_resolution,[],[f41657,f31]) ).
thf(f41663,plain,
( spl0_279
| ~ spl0_462
| ~ spl0_545
| ~ spl0_618 ),
inference(avatar_contradiction_clause,[],[f41662]) ).
thf(f41697,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_540
| ~ spl0_626 ),
inference(constrained_superposition,[],[f36780,f34037]) ).
thf(f41702,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_540
| ~ spl0_626 ),
inference(trivial_inequality_removal,[],[f41697]) ).
thf(f41705,plain,
( $false
| ~ spl0_370
| ~ spl0_540
| ~ spl0_626 ),
inference(forward_subsumption_resolution,[],[f41702,f26904]) ).
thf(f41706,plain,
( ~ spl0_370
| ~ spl0_540
| ~ spl0_626 ),
inference(avatar_contradiction_clause,[],[f41705]) ).
thf(f41711,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_308
| ~ spl0_653 ),
inference(constrained_superposition,[],[f39143,f24351]) ).
thf(f41712,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_532
| ~ spl0_653 ),
inference(constrained_superposition,[],[f39143,f32724]) ).
thf(f41713,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_289
| ~ spl0_653 ),
inference(constrained_superposition,[],[f39143,f23940]) ).
thf(f41714,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_289
| ~ spl0_653 ),
inference(trivial_inequality_removal,[],[f41713]) ).
thf(f41715,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_532
| ~ spl0_653 ),
inference(trivial_inequality_removal,[],[f41712]) ).
thf(f41716,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_308
| ~ spl0_653 ),
inference(trivial_inequality_removal,[],[f41711]) ).
thf(f41717,plain,
( spl0_290
| ~ spl0_289
| ~ spl0_653 ),
inference(avatar_split_clause,[],[f41714,f39142,f23939,f24132]) ).
thf(f41718,plain,
( spl0_535
| ~ spl0_532
| ~ spl0_653 ),
inference(avatar_split_clause,[],[f41715,f39142,f32723,f32804]) ).
thf(f41723,plain,
( spl0_303
| ~ spl0_550
| ~ spl0_1
| ~ spl0_617 ),
inference(avatar_split_clause,[],[f41300,f36631,f44,f33030,f24252]) ).
thf(f41724,plain,
( spl0_553
| ~ spl0_325
| ~ spl0_1
| ~ spl0_618 ),
inference(avatar_split_clause,[],[f40748,f36635,f44,f24984,f33072]) ).
thf(f41725,plain,
( spl0_365
| ~ spl0_308
| ~ spl0_653 ),
inference(avatar_split_clause,[],[f41716,f39142,f24350,f26587]) ).
thf(f41755,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_357
| ~ spl0_653 ),
inference(constrained_superposition,[],[f39143,f37166]) ).
thf(f41761,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_357
| ~ spl0_653 ),
inference(trivial_inequality_removal,[],[f41755]) ).
thf(f41765,plain,
( spl0_449
| ~ spl0_357
| ~ spl0_653 ),
inference(avatar_split_clause,[],[f41761,f39142,f26047,f28366]) ).
thf(f41785,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_314 ),
inference(constrained_superposition,[],[f478,f24373]) ).
thf(f41801,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f41785]) ).
thf(f41808,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| spl0_28
| ~ spl0_314 ),
inference(forward_subsumption_resolution,[],[f41801,f1159]) ).
thf(f41810,plain,
( spl0_305
| spl0_474
| spl0_28
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f41808,f24372,f588,f30223,f24335]) ).
thf(f41818,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_553 ),
inference(constrained_superposition,[],[f27,f33073]) ).
thf(f41828,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_553 ),
inference(trivial_inequality_removal,[],[f41818]) ).
thf(f41831,plain,
( spl0_644
| spl0_541
| ~ spl0_553 ),
inference(avatar_split_clause,[],[f41828,f33072,f32878,f37828]) ).
thf(f41861,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_287 ),
inference(constrained_superposition,[],[f478,f23933]) ).
thf(f41867,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_287 ),
inference(constrained_superposition,[],[f27,f23933]) ).
thf(f41874,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f41867]) ).
thf(f41878,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f41861]) ).
thf(f41885,plain,
( spl0_313
| spl0_310
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f41874,f23932,f24357,f24368]) ).
thf(f41933,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_288
| ~ spl0_457 ),
inference(constrained_superposition,[],[f28656,f23937]) ).
thf(f41938,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_288
| ~ spl0_457 ),
inference(trivial_inequality_removal,[],[f41933]) ).
thf(f41944,plain,
( ~ spl0_378
| ~ spl0_288
| ~ spl0_457 ),
inference(avatar_split_clause,[],[f41938,f28655,f23936,f27367]) ).
thf(f41947,plain,
( spl0_312
| spl0_305
| spl0_311
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f41878,f23932,f24361,f24335,f24364]) ).
thf(f41955,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_305 ),
inference(constrained_superposition,[],[f24336,f35]) ).
thf(f41961,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f41955]) ).
thf(f41964,plain,
( $false
| ~ spl0_305
| spl0_324 ),
inference(forward_subsumption_resolution,[],[f41961,f33346]) ).
thf(f41965,plain,
( ~ spl0_305
| spl0_324 ),
inference(avatar_contradiction_clause,[],[f41964]) ).
thf(f41973,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_116
| ~ spl0_444 ),
inference(constrained_superposition,[],[f10681,f28295]) ).
thf(f41975,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_444 ),
inference(constrained_superposition,[],[f40407,f28295]) ).
thf(f41977,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_116
| ~ spl0_444 ),
inference(trivial_inequality_removal,[],[f41973]) ).
thf(f41978,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_1
| ~ spl0_444 ),
inference(trivial_inequality_removal,[],[f41975]) ).
thf(f41981,plain,
( $false
| ~ spl0_116
| ~ spl0_370
| ~ spl0_444 ),
inference(forward_subsumption_resolution,[],[f41977,f26904]) ).
thf(f41982,plain,
( ~ spl0_116
| ~ spl0_370
| ~ spl0_444 ),
inference(avatar_contradiction_clause,[],[f41981]) ).
thf(f41983,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_36
| ~ spl0_444 ),
inference(forward_subsumption_resolution,[],[f41978,f1010]) ).
thf(f41984,plain,
( spl0_303
| ~ spl0_1
| ~ spl0_36
| ~ spl0_444 ),
inference(avatar_split_clause,[],[f41983,f28294,f1009,f44,f24252]) ).
thf(f41988,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_303 ),
inference(constrained_superposition,[],[f27,f24253]) ).
thf(f41994,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f41988]) ).
thf(f42000,plain,
( spl0_446
| spl0_457
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f41994,f24252,f28655,f28306]) ).
thf(f42080,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_534 ),
inference(constrained_superposition,[],[f4981,f32731]) ).
thf(f42085,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_534 ),
inference(constrained_superposition,[],[f27,f32731]) ).
thf(f42093,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_534 ),
inference(trivial_inequality_removal,[],[f42085]) ).
thf(f42094,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_534 ),
inference(trivial_inequality_removal,[],[f42080]) ).
thf(f42102,plain,
( spl0_310
| spl0_545
| ~ spl0_534 ),
inference(avatar_split_clause,[],[f42093,f32730,f32893,f24357]) ).
thf(f42103,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_534
| spl0_540 ),
inference(forward_subsumption_resolution,[],[f42094,f32847]) ).
thf(f42107,plain,
( spl0_305
| spl0_644
| ~ spl0_534
| spl0_540 ),
inference(avatar_split_clause,[],[f42103,f32846,f32730,f37828,f24335]) ).
thf(f42123,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_531
| ~ spl0_644 ),
inference(constrained_superposition,[],[f37829,f32721]) ).
thf(f42132,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_531
| ~ spl0_644 ),
inference(trivial_inequality_removal,[],[f42123]) ).
thf(f42134,plain,
( ~ spl0_378
| ~ spl0_531
| ~ spl0_644 ),
inference(avatar_split_clause,[],[f42132,f37828,f32720,f27367]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f49]) ).
cnf(s2,plain,
( ~ spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f64]) ).
cnf(s5,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f102]) ).
cnf(s8,plain,
( spl0_7
| ~ spl0_10 ),
inference(sat_conversion,[],[f121]) ).
cnf(s29,plain,
( spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f516]) ).
cnf(s33,plain,
( ~ spl0_4
| ~ spl0_25 ),
inference(sat_conversion,[],[f557]) ).
cnf(s36,plain,
( spl0_26
| spl0_28 ),
inference(sat_conversion,[],[f594]) ).
cnf(s38,plain,
( spl0_12
| ~ spl0_28 ),
inference(sat_conversion,[],[f601]) ).
cnf(s40,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_28 ),
inference(sat_conversion,[],[f619]) ).
cnf(s42,plain,
( ~ spl0_4
| ~ spl0_24
| spl0_30
| ~ spl0_31 ),
inference(sat_conversion,[],[f645]) ).
cnf(s44,plain,
( ~ spl0_4
| spl0_31 ),
inference(sat_conversion,[],[f653]) ).
cnf(s50,plain,
( ~ spl0_4
| ~ spl0_30 ),
inference(sat_conversion,[],[f717]) ).
cnf(s55,plain,
( ~ spl0_4
| spl0_34 ),
inference(sat_conversion,[],[f802]) ).
cnf(s60,plain,
( spl0_4
| spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f880]) ).
cnf(s66,plain,
( ~ spl0_7
| ~ spl0_8
| spl0_25
| ~ spl0_36 ),
inference(sat_conversion,[],[f1044]) ).
cnf(s82,plain,
( ~ spl0_8
| spl0_25
| spl0_28 ),
inference(sat_conversion,[],[f1197]) ).
cnf(s84,plain,
( ~ spl0_8
| spl0_28
| spl0_36 ),
inference(sat_conversion,[],[f1202]) ).
cnf(s96,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28
| ~ spl0_41 ),
inference(sat_conversion,[],[f1386]) ).
cnf(s103,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28
| spl0_41 ),
inference(sat_conversion,[],[f1392]) ).
cnf(s108,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_22
| ~ spl0_28
| spl0_41 ),
inference(sat_conversion,[],[f1441]) ).
cnf(s112,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_22
| ~ spl0_28
| ~ spl0_41 ),
inference(sat_conversion,[],[f1488]) ).
cnf(s118,plain,
( spl0_28
| ~ spl0_40
| ~ spl0_49 ),
inference(sat_conversion,[],[f1496]) ).
cnf(s119,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_25
| ~ spl0_36 ),
inference(sat_conversion,[],[f1518]) ).
cnf(s120,plain,
( spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_23
| ~ spl0_25 ),
inference(sat_conversion,[],[f1548]) ).
cnf(s121,plain,
( spl0_10
| ~ spl0_23
| spl0_25 ),
inference(sat_conversion,[],[f1549]) ).
cnf(s122,plain,
( spl0_4
| ~ spl0_23
| spl0_36 ),
inference(sat_conversion,[],[f1550]) ).
cnf(s125,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_10
| spl0_35 ),
inference(sat_conversion,[],[f1598]) ).
cnf(s126,plain,
( ~ spl0_7
| ~ spl0_10
| ~ spl0_36 ),
inference(sat_conversion,[],[f1618]) ).
cnf(s129,plain,
( ~ spl0_7
| ~ spl0_28
| ~ spl0_36 ),
inference(sat_conversion,[],[f1625]) ).
cnf(s130,plain,
( spl0_7
| spl0_40 ),
inference(sat_conversion,[],[f1627]) ).
cnf(s133,plain,
( ~ spl0_5
| spl0_21
| ~ spl0_51 ),
inference(sat_conversion,[],[f1650]) ).
cnf(s134,plain,
( ~ spl0_5
| spl0_10
| spl0_34 ),
inference(sat_conversion,[],[f1651]) ).
cnf(s135,plain,
( spl0_6
| ~ spl0_54 ),
inference(sat_conversion,[],[f1660]) ).
cnf(s142,plain,
( ~ spl0_41
| ~ spl0_59 ),
inference(sat_conversion,[],[f1771]) ).
cnf(s158,plain,
~ spl0_29,
inference(sat_conversion,[],[f1974]) ).
cnf(s163,plain,
( ~ spl0_1
| spl0_8
| ~ spl0_25
| ~ spl0_36
| spl0_54 ),
inference(sat_conversion,[],[f1983]) ).
cnf(s178,plain,
( ~ spl0_21
| spl0_38 ),
inference(sat_conversion,[],[f2185]) ).
cnf(s179,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_10
| ~ spl0_25
| ~ spl0_36 ),
inference(sat_conversion,[],[f2192]) ).
cnf(s200,plain,
( ~ spl0_6
| spl0_57 ),
inference(sat_conversion,[],[f2432]) ).
cnf(s224,plain,
( ~ spl0_12
| ~ spl0_23
| ~ spl0_25
| ~ spl0_36
| ~ spl0_56
| ~ spl0_57 ),
inference(sat_conversion,[],[f2950]) ).
cnf(s229,plain,
( ~ spl0_2
| ~ spl0_9
| spl0_59 ),
inference(sat_conversion,[],[f2969]) ).
cnf(s240,plain,
( ~ spl0_28
| ~ spl0_36
| ~ spl0_67
| spl0_69 ),
inference(sat_conversion,[],[f3462]) ).
cnf(s262,plain,
( spl0_5
| spl0_80 ),
inference(sat_conversion,[],[f5009]) ).
cnf(s263,plain,
( spl0_8
| spl0_81 ),
inference(sat_conversion,[],[f5013]) ).
cnf(s265,plain,
( ~ spl0_1
| spl0_8
| ~ spl0_25
| ~ spl0_36
| spl0_83 ),
inference(sat_conversion,[],[f5021]) ).
cnf(s269,plain,
( spl0_29
| ~ spl0_54
| ~ spl0_82
| spl0_87 ),
inference(sat_conversion,[],[f5330]) ).
cnf(s287,plain,
( ~ spl0_1
| spl0_10
| ~ spl0_25
| ~ spl0_36
| spl0_98 ),
inference(sat_conversion,[],[f9670]) ).
cnf(s291,plain,
( spl0_21
| ~ spl0_51
| spl0_98 ),
inference(sat_conversion,[],[f9683]) ).
cnf(s413,plain,
( ~ spl0_1
| ~ spl0_34
| spl0_88 ),
inference(sat_conversion,[],[f11027]) ).
cnf(s415,plain,
( ~ spl0_34
| ~ spl0_49
| spl0_124 ),
inference(sat_conversion,[],[f11032]) ).
cnf(s416,plain,
( ~ spl0_25
| ~ spl0_36
| ~ spl0_88 ),
inference(sat_conversion,[],[f11060]) ).
cnf(s999,plain,
( spl0_31
| spl0_51 ),
inference(sat_conversion,[],[f19396]) ).
cnf(s1003,plain,
( ~ spl0_25
| ~ spl0_87
| spl0_251 ),
inference(sat_conversion,[],[f19408]) ).
cnf(s1078,plain,
( ~ spl0_28
| ~ spl0_49
| ~ spl0_82
| ~ spl0_124
| spl0_264 ),
inference(sat_conversion,[],[f22618]) ).
cnf(s1135,plain,
( ~ spl0_57
| ~ spl0_286
| spl0_290 ),
inference(sat_conversion,[],[f24163]) ).
cnf(s1157,plain,
( ~ spl0_49
| ~ spl0_286
| spl0_296
| spl0_298 ),
inference(sat_conversion,[],[f24258]) ).
cnf(s1167,plain,
( ~ spl0_12
| ~ spl0_28
| spl0_29
| ~ spl0_49
| ~ spl0_54
| ~ spl0_57
| ~ spl0_286
| spl0_292 ),
inference(sat_conversion,[],[f24275]) ).
cnf(s1238,plain,
~ spl0_292,
inference(sat_conversion,[],[f24866]) ).
cnf(s1289,plain,
( ~ spl0_12
| spl0_29
| ~ spl0_56
| ~ spl0_57
| ~ spl0_80
| spl0_323
| spl0_324 ),
inference(sat_conversion,[],[f24976]) ).
cnf(s1294,plain,
( ~ spl0_12
| spl0_29
| ~ spl0_56
| ~ spl0_57
| ~ spl0_80
| spl0_324
| spl0_325 ),
inference(sat_conversion,[],[f25011]) ).
cnf(s1303,plain,
( ~ spl0_57
| spl0_96
| ~ spl0_98
| spl0_332 ),
inference(sat_conversion,[],[f25066]) ).
cnf(s1319,plain,
( ~ spl0_54
| spl0_67
| ~ spl0_89 ),
inference(sat_conversion,[],[f25118]) ).
cnf(s1349,plain,
~ spl0_294,
inference(sat_conversion,[],[f25459]) ).
cnf(s1398,plain,
~ spl0_296,
inference(sat_conversion,[],[f25728]) ).
cnf(s1405,plain,
( ~ spl0_57
| ~ spl0_324
| spl0_326 ),
inference(sat_conversion,[],[f25807]) ).
cnf(s1420,plain,
~ spl0_293,
inference(sat_conversion,[],[f26042]) ).
cnf(s1436,plain,
( ~ spl0_1
| spl0_326
| ~ spl0_355 ),
inference(sat_conversion,[],[f26170]) ).
cnf(s1437,plain,
( ~ spl0_57
| spl0_323
| ~ spl0_325 ),
inference(sat_conversion,[],[f26197]) ).
cnf(s1441,plain,
( ~ spl0_54
| spl0_323
| ~ spl0_325 ),
inference(sat_conversion,[],[f26202]) ).
cnf(s1486,plain,
( ~ spl0_36
| ~ spl0_308
| ~ spl0_324 ),
inference(sat_conversion,[],[f26606]) ).
cnf(s1487,plain,
( ~ spl0_54
| ~ spl0_308
| spl0_365 ),
inference(sat_conversion,[],[f26608]) ).
cnf(s1503,plain,
( spl0_307
| spl0_316 ),
inference(sat_conversion,[],[f26698]) ).
cnf(s1525,plain,
( ~ spl0_286
| ~ spl0_325
| ~ spl0_326 ),
inference(sat_conversion,[],[f26864]) ).
cnf(s1550,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_56
| ~ spl0_57
| spl0_325
| spl0_345 ),
inference(sat_conversion,[],[f26997]) ).
cnf(s1729,plain,
( ~ spl0_12
| ~ spl0_279
| spl0_449 ),
inference(sat_conversion,[],[f28369]) ).
cnf(s1733,plain,
( spl0_308
| spl0_315 ),
inference(sat_conversion,[],[f28386]) ).
cnf(s1735,plain,
( spl0_29
| spl0_308
| spl0_315 ),
inference(sat_conversion,[],[f28389]) ).
cnf(s1781,plain,
( ~ spl0_57
| ~ spl0_459
| spl0_461 ),
inference(sat_conversion,[],[f28735]) ).
cnf(s1784,plain,
( ~ spl0_251
| spl0_293
| spl0_370
| ~ spl0_459 ),
inference(sat_conversion,[],[f28744]) ).
cnf(s1788,plain,
( spl0_21
| spl0_316
| ~ spl0_446 ),
inference(sat_conversion,[],[f28825]) ).
cnf(s1791,plain,
( ~ spl0_286
| ~ spl0_449
| ~ spl0_459 ),
inference(sat_conversion,[],[f28896]) ).
cnf(s1796,plain,
( ~ spl0_56
| spl0_311
| spl0_325 ),
inference(sat_conversion,[],[f29016]) ).
cnf(s1801,plain,
( ~ spl0_12
| ~ spl0_311
| spl0_461 ),
inference(sat_conversion,[],[f29064]) ).
cnf(s1804,plain,
( ~ spl0_54
| spl0_294
| ~ spl0_311
| spl0_462 ),
inference(sat_conversion,[],[f29070]) ).
cnf(s1819,plain,
( ~ spl0_313
| ~ spl0_314
| spl0_444 ),
inference(sat_conversion,[],[f29337]) ).
cnf(s1820,plain,
( spl0_300
| spl0_314 ),
inference(sat_conversion,[],[f29351]) ).
cnf(s1826,plain,
( ~ spl0_57
| ~ spl0_300
| spl0_365 ),
inference(sat_conversion,[],[f29453]) ).
cnf(s1829,plain,
( ~ spl0_36
| ~ spl0_300
| spl0_365 ),
inference(sat_conversion,[],[f29460]) ).
cnf(s1830,plain,
( ~ spl0_36
| ~ spl0_300
| ~ spl0_326 ),
inference(sat_conversion,[],[f29463]) ).
cnf(s1863,plain,
( ~ spl0_25
| ~ spl0_54
| ~ spl0_83
| spl0_294
| spl0_370
| ~ spl0_444 ),
inference(sat_conversion,[],[f29652]) ).
cnf(s1864,plain,
( ~ spl0_12
| ~ spl0_36
| ~ spl0_56
| ~ spl0_57
| ~ spl0_80
| spl0_343
| ~ spl0_444 ),
inference(sat_conversion,[],[f29653]) ).
cnf(s1930,plain,
( ~ spl0_36
| ~ spl0_38
| spl0_296
| ~ spl0_326 ),
inference(sat_conversion,[],[f30407]) ).
cnf(s2148,plain,
( spl0_292
| spl0_531
| spl0_532 ),
inference(sat_conversion,[],[f32725]) ).
cnf(s2149,plain,
( spl0_292
| spl0_533
| spl0_534 ),
inference(sat_conversion,[],[f32732]) ).
cnf(s2155,plain,
( ~ spl0_57
| spl0_296
| ~ spl0_324
| ~ spl0_343
| ~ spl0_532 ),
inference(sat_conversion,[],[f32831]) ).
cnf(s2165,plain,
( ~ spl0_81
| spl0_357
| ~ spl0_531
| spl0_539
| spl0_543 ),
inference(sat_conversion,[],[f32901]) ).
cnf(s2175,plain,
( ~ spl0_12
| ~ spl0_22
| ~ spl0_28
| ~ spl0_315
| ~ spl0_531
| ~ spl0_543 ),
inference(sat_conversion,[],[f33041]) ).
cnf(s2186,plain,
( ~ spl0_22
| ~ spl0_57
| ~ spl0_315
| ~ spl0_343
| ~ spl0_531
| ~ spl0_550 ),
inference(sat_conversion,[],[f33068]) ).
cnf(s2213,plain,
~ spl0_539,
inference(sat_conversion,[],[f33292]) ).
cnf(s2243,plain,
( ~ spl0_80
| spl0_292
| spl0_324
| spl0_532
| spl0_550 ),
inference(sat_conversion,[],[f33353]) ).
cnf(s2244,plain,
( ~ spl0_1
| ~ spl0_286
| spl0_297
| ~ spl0_325 ),
inference(sat_conversion,[],[f33358]) ).
cnf(s2245,plain,
( spl0_21
| ~ spl0_315
| spl0_355
| spl0_469 ),
inference(sat_conversion,[],[f33362]) ).
cnf(s2249,plain,
( ~ spl0_80
| spl0_292
| spl0_324
| spl0_533
| spl0_550 ),
inference(sat_conversion,[],[f33377]) ).
cnf(s2257,plain,
( spl0_324
| spl0_378 ),
inference(sat_conversion,[],[f33411]) ).
cnf(s2258,plain,
( ~ spl0_12
| ~ spl0_56
| ~ spl0_57
| ~ spl0_80
| spl0_292
| spl0_324
| spl0_550 ),
inference(sat_conversion,[],[f33412]) ).
cnf(s2260,plain,
( ~ spl0_57
| spl0_324
| spl0_357 ),
inference(sat_conversion,[],[f33416]) ).
cnf(s2268,plain,
( ~ spl0_54
| ~ spl0_57
| ~ spl0_289
| spl0_324
| spl0_325 ),
inference(sat_conversion,[],[f33434]) ).
cnf(s2269,plain,
( ~ spl0_54
| spl0_324
| spl0_357 ),
inference(sat_conversion,[],[f33435]) ).
cnf(s2275,plain,
( ~ spl0_83
| spl0_292
| spl0_355
| spl0_357 ),
inference(sat_conversion,[],[f33454]) ).
cnf(s2278,plain,
( ~ spl0_89
| spl0_279
| spl0_292
| spl0_324 ),
inference(sat_conversion,[],[f33458]) ).
cnf(s2283,plain,
( ~ spl0_3
| spl0_7
| spl0_292
| spl0_324
| spl0_357 ),
inference(sat_conversion,[],[f33464]) ).
cnf(s2302,plain,
( ~ spl0_56
| ~ spl0_279
| ~ spl0_290
| spl0_325 ),
inference(sat_conversion,[],[f33491]) ).
cnf(s2303,plain,
( ~ spl0_289
| ~ spl0_357
| ~ spl0_461 ),
inference(sat_conversion,[],[f33492]) ).
cnf(s2312,plain,
( ~ spl0_83
| spl0_294
| ~ spl0_298
| ~ spl0_357
| spl0_370 ),
inference(sat_conversion,[],[f33504]) ).
cnf(s2323,plain,
( spl0_296
| spl0_324
| ~ spl0_345 ),
inference(sat_conversion,[],[f33576]) ).
cnf(s2324,plain,
( ~ spl0_3
| spl0_7
| ~ spl0_12
| ~ spl0_56
| spl0_324
| spl0_385 ),
inference(sat_conversion,[],[f33577]) ).
cnf(s2354,plain,
( ~ spl0_54
| ~ spl0_550
| spl0_558 ),
inference(sat_conversion,[],[f33784]) ).
cnf(s2369,plain,
( ~ spl0_54
| ~ spl0_57
| ~ spl0_83
| spl0_324
| ~ spl0_532
| spl0_540 ),
inference(sat_conversion,[],[f34048]) ).
cnf(s2370,plain,
( ~ spl0_1
| ~ spl0_540
| spl0_558 ),
inference(sat_conversion,[],[f34076]) ).
cnf(s2385,plain,
( spl0_21
| ~ spl0_541
| spl0_570 ),
inference(sat_conversion,[],[f34229]) ).
cnf(s2390,plain,
( ~ spl0_31
| ~ spl0_551
| spl0_553 ),
inference(sat_conversion,[],[f34363]) ).
cnf(s2608,plain,
( spl0_296
| spl0_616
| spl0_617 ),
inference(sat_conversion,[],[f36633]) ).
cnf(s2609,plain,
( spl0_296
| spl0_618
| spl0_619 ),
inference(sat_conversion,[],[f36640]) ).
cnf(s2612,plain,
( ~ spl0_22
| spl0_316
| ~ spl0_616
| ~ spl0_622 ),
inference(sat_conversion,[],[f36683]) ).
cnf(s2616,plain,
( ~ spl0_81
| spl0_294
| ~ spl0_449
| spl0_459
| ~ spl0_533
| ~ spl0_616 ),
inference(sat_conversion,[],[f36698]) ).
cnf(s2618,plain,
( ~ spl0_323
| ~ spl0_550
| ~ spl0_617 ),
inference(sat_conversion,[],[f36785]) ).
cnf(s2619,plain,
( ~ spl0_290
| ~ spl0_533
| ~ spl0_617 ),
inference(sat_conversion,[],[f36788]) ).
cnf(s2626,plain,
( ~ spl0_54
| ~ spl0_370
| spl0_539
| spl0_553
| ~ spl0_617 ),
inference(sat_conversion,[],[f36809]) ).
cnf(s2627,plain,
( ~ spl0_54
| ~ spl0_617
| spl0_626 ),
inference(sat_conversion,[],[f36811]) ).
cnf(s2639,plain,
( spl0_316
| ~ spl0_443 ),
inference(sat_conversion,[],[f36844]) ).
cnf(s2642,plain,
( spl0_570
| spl0_622 ),
inference(sat_conversion,[],[f36856]) ).
cnf(s2646,plain,
( ~ spl0_36
| ~ spl0_550
| ~ spl0_570 ),
inference(sat_conversion,[],[f36951]) ).
cnf(s2651,plain,
( ~ spl0_1
| spl0_51
| ~ spl0_550
| ~ spl0_570 ),
inference(sat_conversion,[],[f36967]) ).
cnf(s2656,plain,
( ~ spl0_69
| spl0_539
| ~ spl0_570 ),
inference(sat_conversion,[],[f36975]) ).
cnf(s2677,plain,
( ~ spl0_69
| spl0_294
| ~ spl0_316 ),
inference(sat_conversion,[],[f37100]) ).
cnf(s2691,plain,
( ~ spl0_3
| spl0_286
| spl0_296
| spl0_324
| spl0_325 ),
inference(sat_conversion,[],[f37121]) ).
cnf(s2692,plain,
( ~ spl0_80
| spl0_296
| spl0_325
| spl0_550
| spl0_617 ),
inference(sat_conversion,[],[f37122]) ).
cnf(s2693,plain,
( ~ spl0_80
| spl0_296
| spl0_325
| spl0_550
| spl0_618 ),
inference(sat_conversion,[],[f37123]) ).
cnf(s2704,plain,
( ~ spl0_1
| spl0_51
| ~ spl0_316
| ~ spl0_325 ),
inference(sat_conversion,[],[f37150]) ).
cnf(s2705,plain,
( ~ spl0_56
| ~ spl0_279
| ~ spl0_535
| spl0_550 ),
inference(sat_conversion,[],[f37152]) ).
cnf(s2706,plain,
( ~ spl0_12
| ~ spl0_56
| ~ spl0_57
| ~ spl0_80
| spl0_296
| spl0_325
| spl0_550 ),
inference(sat_conversion,[],[f37154]) ).
cnf(s2709,plain,
( ~ spl0_12
| ~ spl0_28
| ~ spl0_34
| spl0_51 ),
inference(sat_conversion,[],[f37159]) ).
cnf(s2710,plain,
( spl0_7
| ~ spl0_80
| spl0_89 ),
inference(sat_conversion,[],[f37160]) ).
cnf(s2711,plain,
( ~ spl0_36
| ~ spl0_316
| ~ spl0_325 ),
inference(sat_conversion,[],[f37162]) ).
cnf(s2712,plain,
( ~ spl0_3
| spl0_289
| spl0_296
| spl0_325
| ~ spl0_378 ),
inference(sat_conversion,[],[f37163]) ).
cnf(s2713,plain,
( spl0_288
| spl0_289
| spl0_296 ),
inference(sat_conversion,[],[f37165]) ).
cnf(s2716,plain,
( ~ spl0_9
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f37169]) ).
cnf(s2719,plain,
( spl0_286
| spl0_287
| spl0_296 ),
inference(sat_conversion,[],[f37179]) ).
cnf(s2720,plain,
( ~ spl0_3
| spl0_289
| spl0_296
| spl0_324
| spl0_325 ),
inference(sat_conversion,[],[f37183]) ).
cnf(s2722,plain,
( spl0_292
| spl0_357
| spl0_544 ),
inference(sat_conversion,[],[f37189]) ).
cnf(s2725,plain,
( spl0_7
| spl0_89
| ~ spl0_98 ),
inference(sat_conversion,[],[f37193]) ).
cnf(s2727,plain,
( spl0_25
| spl0_29
| spl0_78 ),
inference(sat_conversion,[],[f37195]) ).
cnf(s2729,plain,
( spl0_25
| spl0_29
| ~ spl0_81
| ~ spl0_315
| spl0_357 ),
inference(sat_conversion,[],[f37197]) ).
cnf(s2731,plain,
( spl0_25
| ~ spl0_81
| spl0_292
| ~ spl0_314
| spl0_357 ),
inference(sat_conversion,[],[f37198]) ).
cnf(s2733,plain,
( spl0_29
| ~ spl0_57
| ~ spl0_316
| ~ spl0_325
| ~ spl0_385 ),
inference(sat_conversion,[],[f37199]) ).
cnf(s2737,plain,
( spl0_36
| spl0_137 ),
inference(sat_conversion,[],[f37206]) ).
cnf(s2744,plain,
( ~ spl0_3
| spl0_29
| spl0_36
| spl0_308
| spl0_324 ),
inference(sat_conversion,[],[f37214]) ).
cnf(s2747,plain,
( ~ spl0_3
| spl0_29
| spl0_36
| spl0_300
| spl0_324 ),
inference(sat_conversion,[],[f37220]) ).
cnf(s2750,plain,
( ~ spl0_3
| spl0_36
| spl0_292
| spl0_316
| spl0_325 ),
inference(sat_conversion,[],[f37223]) ).
cnf(s2757,plain,
( ~ spl0_137
| spl0_300
| ~ spl0_469 ),
inference(sat_conversion,[],[f37232]) ).
cnf(s2765,plain,
( ~ spl0_21
| spl0_36 ),
inference(sat_conversion,[],[f37258]) ).
cnf(s2766,plain,
( ~ spl0_21
| spl0_25 ),
inference(sat_conversion,[],[f37259]) ).
cnf(s2767,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_28
| spl0_51 ),
inference(sat_conversion,[],[f37261]) ).
cnf(s2783,plain,
( spl0_8
| spl0_34
| spl0_54 ),
inference(sat_conversion,[],[f37310]) ).
cnf(s2787,plain,
( ~ spl0_59
| spl0_459 ),
inference(sat_conversion,[],[f37363]) ).
cnf(s2788,plain,
( ~ spl0_57
| ~ spl0_59
| spl0_262 ),
inference(sat_conversion,[],[f37367]) ).
cnf(s2800,plain,
( spl0_303
| spl0_370 ),
inference(sat_conversion,[],[f37456]) ).
cnf(s2801,plain,
( ~ spl0_305
| spl0_357 ),
inference(sat_conversion,[],[f37457]) ).
cnf(s2804,plain,
( ~ spl0_9
| spl0_25
| spl0_34
| ~ spl0_51 ),
inference(sat_conversion,[],[f37473]) ).
cnf(s2824,plain,
( ~ spl0_57
| ~ spl0_357
| spl0_449 ),
inference(sat_conversion,[],[f37650]) ).
cnf(s2829,plain,
( spl0_29
| spl0_36
| ~ spl0_385 ),
inference(sat_conversion,[],[f37670]) ).
cnf(s2840,plain,
( spl0_325
| spl0_630 ),
inference(sat_conversion,[],[f37735]) ).
cnf(s2846,plain,
( spl0_296
| spl0_300
| spl0_314 ),
inference(sat_conversion,[],[f37745]) ).
cnf(s2863,plain,
( ~ spl0_9
| spl0_34
| spl0_543
| ~ spl0_553 ),
inference(sat_conversion,[],[f37832]) ).
cnf(s2864,plain,
( ~ spl0_22
| ~ spl0_51
| ~ spl0_553
| spl0_570 ),
inference(sat_conversion,[],[f37833]) ).
cnf(s2871,plain,
( ~ spl0_25
| ~ spl0_262
| ~ spl0_444 ),
inference(sat_conversion,[],[f37904]) ).
cnf(s2874,plain,
( spl0_10
| ~ spl0_310
| spl0_357 ),
inference(sat_conversion,[],[f37985]) ).
cnf(s2880,plain,
( ~ spl0_12
| ~ spl0_28
| ~ spl0_308
| ~ spl0_357 ),
inference(sat_conversion,[],[f38050]) ).
cnf(s2885,plain,
( ~ spl0_81
| ~ spl0_287
| spl0_292
| spl0_357
| spl0_459 ),
inference(sat_conversion,[],[f38065]) ).
cnf(s2901,plain,
( ~ spl0_12
| ~ spl0_28
| ~ spl0_543
| ~ spl0_570 ),
inference(sat_conversion,[],[f38157]) ).
cnf(s2905,plain,
( ~ spl0_28
| ~ spl0_332
| spl0_550
| ~ spl0_570 ),
inference(sat_conversion,[],[f38164]) ).
cnf(s2912,plain,
( ~ spl0_88
| ~ spl0_325
| ~ spl0_459 ),
inference(sat_conversion,[],[f38241]) ).
cnf(s2915,plain,
( ~ spl0_22
| ~ spl0_288
| ~ spl0_315
| spl0_316 ),
inference(sat_conversion,[],[f38244]) ).
cnf(s2916,plain,
( ~ spl0_22
| ~ spl0_287
| ~ spl0_307
| spl0_308 ),
inference(sat_conversion,[],[f38245]) ).
cnf(s2917,plain,
( spl0_8
| spl0_34
| spl0_83 ),
inference(sat_conversion,[],[f38260]) ).
cnf(s2920,plain,
( ~ spl0_88
| ~ spl0_324
| ~ spl0_357 ),
inference(sat_conversion,[],[f38284]) ).
cnf(s2922,plain,
( spl0_29
| spl0_36
| ~ spl0_96 ),
inference(sat_conversion,[],[f38311]) ).
cnf(s2945,plain,
( spl0_21
| spl0_300
| ~ spl0_315
| spl0_452 ),
inference(sat_conversion,[],[f38439]) ).
cnf(s2947,plain,
( spl0_29
| ~ spl0_264
| ~ spl0_279 ),
inference(sat_conversion,[],[f38464]) ).
cnf(s2965,plain,
( spl0_305
| ~ spl0_534
| spl0_624
| spl0_647 ),
inference(sat_conversion,[],[f38655]) ).
cnf(s2970,plain,
( ~ spl0_288
| ~ spl0_310
| spl0_443 ),
inference(sat_conversion,[],[f38684]) ).
cnf(s2971,plain,
( spl0_21
| ~ spl0_310
| ~ spl0_315 ),
inference(sat_conversion,[],[f38685]) ).
cnf(s2973,plain,
( spl0_21
| spl0_308
| ~ spl0_310 ),
inference(sat_conversion,[],[f38688]) ).
cnf(s2975,plain,
( ~ spl0_25
| ~ spl0_357
| ~ spl0_366 ),
inference(sat_conversion,[],[f38748]) ).
cnf(s2976,plain,
( ~ spl0_28
| ~ spl0_316
| ~ spl0_462 ),
inference(sat_conversion,[],[f38766]) ).
cnf(s2978,plain,
( ~ spl0_137
| ~ spl0_644
| spl0_648 ),
inference(sat_conversion,[],[f38796]) ).
cnf(s2996,plain,
( ~ spl0_81
| spl0_294
| spl0_459
| spl0_543
| ~ spl0_616 ),
inference(sat_conversion,[],[f38922]) ).
cnf(s2997,plain,
( ~ spl0_22
| ~ spl0_315
| ~ spl0_531
| spl0_570 ),
inference(sat_conversion,[],[f38923]) ).
cnf(s2999,plain,
( ~ spl0_22
| spl0_308
| ~ spl0_534
| ~ spl0_622 ),
inference(sat_conversion,[],[f38926]) ).
cnf(s3001,plain,
( ~ spl0_34
| spl0_297
| ~ spl0_449 ),
inference(sat_conversion,[],[f38929]) ).
cnf(s3004,plain,
( ~ spl0_3
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f38934]) ).
cnf(s3006,plain,
( ~ spl0_9
| spl0_357
| ~ spl0_534
| ~ spl0_650 ),
inference(sat_conversion,[],[f38941]) ).
cnf(s3008,plain,
( ~ spl0_1
| ~ spl0_7
| spl0_553
| ~ spl0_647 ),
inference(sat_conversion,[],[f38943]) ).
cnf(s3010,plain,
( ~ spl0_3
| spl0_7
| spl0_651 ),
inference(sat_conversion,[],[f38948]) ).
cnf(s3011,plain,
( ~ spl0_3
| spl0_7
| spl0_57 ),
inference(sat_conversion,[],[f38950]) ).
cnf(s3012,plain,
( spl0_34
| spl0_57
| ~ spl0_81 ),
inference(sat_conversion,[],[f38952]) ).
cnf(s3016,plain,
( ~ spl0_81
| spl0_292
| spl0_357
| ~ spl0_534
| spl0_543 ),
inference(sat_conversion,[],[f38956]) ).
cnf(s3018,plain,
( ~ spl0_7
| ~ spl0_12
| spl0_88 ),
inference(sat_conversion,[],[f38964]) ).
cnf(s3020,plain,
( spl0_34
| spl0_58 ),
inference(sat_conversion,[],[f38969]) ).
cnf(s3030,plain,
( ~ spl0_25
| ~ spl0_300
| ~ spl0_449 ),
inference(sat_conversion,[],[f39078]) ).
cnf(s3039,plain,
( ~ spl0_3
| spl0_296
| spl0_325
| spl0_653 ),
inference(sat_conversion,[],[f39144]) ).
cnf(s3041,plain,
( ~ spl0_88
| ~ spl0_543
| ~ spl0_550 ),
inference(sat_conversion,[],[f39149]) ).
cnf(s3044,plain,
( ~ spl0_25
| spl0_655 ),
inference(sat_conversion,[],[f39197]) ).
cnf(s3051,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_28
| spl0_36
| ~ spl0_88
| spl0_294
| ~ spl0_543 ),
inference(sat_conversion,[],[f39242]) ).
cnf(s3056,plain,
( ~ spl0_3
| spl0_29
| spl0_324
| spl0_655 ),
inference(sat_conversion,[],[f39259]) ).
cnf(s3063,plain,
( spl0_29
| ~ spl0_253
| spl0_324 ),
inference(sat_conversion,[],[f39301]) ).
cnf(s3064,plain,
( ~ spl0_300
| spl0_655 ),
inference(sat_conversion,[],[f39312]) ).
cnf(s3068,plain,
( ~ spl0_3
| spl0_36
| ~ spl0_88
| spl0_294
| ~ spl0_543
| ~ spl0_658 ),
inference(sat_conversion,[],[f39358]) ).
cnf(s3076,plain,
( ~ spl0_289
| spl0_653 ),
inference(sat_conversion,[],[f39410]) ).
cnf(s3084,plain,
( ~ spl0_286
| ~ spl0_316
| ~ spl0_365 ),
inference(sat_conversion,[],[f39466]) ).
cnf(s3089,plain,
( spl0_294
| spl0_570
| spl0_622 ),
inference(sat_conversion,[],[f39494]) ).
cnf(s3093,plain,
( ~ spl0_3
| spl0_36
| spl0_294
| ~ spl0_365
| ~ spl0_533
| spl0_550 ),
inference(sat_conversion,[],[f39505]) ).
cnf(s3095,plain,
( ~ spl0_5
| ~ spl0_297
| spl0_305 ),
inference(sat_conversion,[],[f39522]) ).
cnf(s3097,plain,
( spl0_543
| spl0_650 ),
inference(sat_conversion,[],[f39524]) ).
cnf(s3104,plain,
( ~ spl0_325
| ~ spl0_558
| ~ spl0_618 ),
inference(sat_conversion,[],[f39599]) ).
cnf(s3113,plain,
( ~ spl0_22
| ~ spl0_307
| ~ spl0_365
| ~ spl0_533
| ~ spl0_619 ),
inference(sat_conversion,[],[f39636]) ).
cnf(s3114,plain,
( ~ spl0_81
| spl0_459
| spl0_539
| spl0_543
| ~ spl0_619 ),
inference(sat_conversion,[],[f39637]) ).
cnf(s3126,plain,
( ~ spl0_289
| ~ spl0_308
| ~ spl0_454 ),
inference(sat_conversion,[],[f39725]) ).
cnf(s3127,plain,
( ~ spl0_78
| ~ spl0_312
| spl0_444 ),
inference(sat_conversion,[],[f39726]) ).
cnf(s3134,plain,
( ~ spl0_324
| spl0_653 ),
inference(sat_conversion,[],[f39750]) ).
cnf(s3135,plain,
( ~ spl0_315
| ~ spl0_474
| ~ spl0_544 ),
inference(sat_conversion,[],[f39777]) ).
cnf(s3136,plain,
( spl0_23
| ~ spl0_315
| spl0_452 ),
inference(sat_conversion,[],[f39778]) ).
cnf(s3143,plain,
( ~ spl0_26
| spl0_279
| ~ spl0_452 ),
inference(sat_conversion,[],[f39826]) ).
cnf(s3144,plain,
( ~ spl0_22
| ~ spl0_51
| ~ spl0_303
| spl0_316 ),
inference(sat_conversion,[],[f39828]) ).
cnf(s3145,plain,
( ~ spl0_22
| ~ spl0_51
| ~ spl0_297
| spl0_308 ),
inference(sat_conversion,[],[f39829]) ).
cnf(s3146,plain,
( ~ spl0_1
| ~ spl0_324
| ~ spl0_532
| spl0_553 ),
inference(sat_conversion,[],[f39830]) ).
cnf(s3149,plain,
( ~ spl0_308
| spl0_653 ),
inference(sat_conversion,[],[f39855]) ).
cnf(s3150,plain,
( ~ spl0_1
| ~ spl0_31
| ~ spl0_308
| ~ spl0_324 ),
inference(sat_conversion,[],[f39857]) ).
cnf(s3152,plain,
( ~ spl0_98
| spl0_256
| ~ spl0_308
| spl0_366 ),
inference(sat_conversion,[],[f39860]) ).
cnf(s3168,plain,
( ~ spl0_469
| ~ spl0_534
| spl0_550 ),
inference(sat_conversion,[],[f39995]) ).
cnf(s3174,plain,
( ~ spl0_10
| spl0_28 ),
inference(sat_conversion,[],[f40051]) ).
cnf(s3179,plain,
( ~ spl0_35
| spl0_51 ),
inference(sat_conversion,[],[f40076]) ).
cnf(s3181,plain,
( spl0_1
| ~ spl0_34 ),
inference(sat_conversion,[],[f40082]) ).
cnf(s3184,plain,
( ~ spl0_3
| spl0_7
| spl0_56 ),
inference(sat_conversion,[],[f40088]) ).
cnf(s3187,plain,
( ~ spl0_3
| spl0_7
| spl0_28
| spl0_29
| spl0_36 ),
inference(sat_conversion,[],[f40094]) ).
cnf(s3189,plain,
( ~ spl0_9
| ~ spl0_58
| ~ spl0_303
| spl0_459 ),
inference(sat_conversion,[],[f40096]) ).
cnf(s3191,plain,
( ~ spl0_2
| ~ spl0_445 ),
inference(sat_conversion,[],[f40122]) ).
cnf(s3201,plain,
( spl0_23
| spl0_49
| ~ spl0_51 ),
inference(sat_conversion,[],[f40165]) ).
cnf(s3202,plain,
( spl0_23
| ~ spl0_51
| spl0_82 ),
inference(sat_conversion,[],[f40166]) ).
cnf(s3203,plain,
( spl0_1
| ~ spl0_355 ),
inference(sat_conversion,[],[f40174]) ).
cnf(s3209,plain,
( ~ spl0_3
| spl0_253
| ~ spl0_300
| spl0_365 ),
inference(sat_conversion,[],[f40210]) ).
cnf(s3220,plain,
( spl0_96
| ~ spl0_98
| ~ spl0_459
| spl0_462 ),
inference(sat_conversion,[],[f40245]) ).
cnf(s3231,plain,
( ~ spl0_262
| ~ spl0_316
| ~ spl0_459 ),
inference(sat_conversion,[],[f40346]) ).
cnf(s3243,plain,
( spl0_279
| ~ spl0_288
| spl0_443
| spl0_445 ),
inference(sat_conversion,[],[f40462]) ).
cnf(s3250,plain,
( ~ spl0_326
| ~ spl0_533
| ~ spl0_550 ),
inference(sat_conversion,[],[f40528]) ).
cnf(s3253,plain,
( ~ spl0_288
| spl0_355
| spl0_443
| spl0_469 ),
inference(sat_conversion,[],[f40532]) ).
cnf(s3256,plain,
( ~ spl0_287
| ~ spl0_469
| ~ spl0_630 ),
inference(sat_conversion,[],[f40567]) ).
cnf(s3260,plain,
( ~ spl0_366
| ~ spl0_532
| ~ spl0_648 ),
inference(sat_conversion,[],[f40592]) ).
cnf(s3265,plain,
( ~ spl0_324
| ~ spl0_532
| ~ spl0_558 ),
inference(sat_conversion,[],[f40651]) ).
cnf(s3285,plain,
( ~ spl0_34
| spl0_303
| ~ spl0_461 ),
inference(sat_conversion,[],[f40838]) ).
cnf(s3326,plain,
( ~ spl0_1
| spl0_51
| ~ spl0_308
| ~ spl0_324 ),
inference(sat_conversion,[],[f41174]) ).
cnf(s3327,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f41175]) ).
cnf(s3345,plain,
( ~ spl0_298
| ~ spl0_532
| ~ spl0_618 ),
inference(sat_conversion,[],[f41325]) ).
cnf(s3349,plain,
( spl0_279
| spl0_311
| ~ spl0_313 ),
inference(sat_conversion,[],[f41352]) ).
cnf(s3358,plain,
( ~ spl0_31
| spl0_116
| ~ spl0_651 ),
inference(sat_conversion,[],[f41416]) ).
cnf(s3359,plain,
( ~ spl0_289
| spl0_298
| ~ spl0_651 ),
inference(sat_conversion,[],[f41417]) ).
cnf(s3369,plain,
( ~ spl0_300
| spl0_365
| ~ spl0_655 ),
inference(sat_conversion,[],[f41435]) ).
cnf(s3370,plain,
( spl0_551
| ~ spl0_648
| ~ spl0_655 ),
inference(sat_conversion,[],[f41436]) ).
cnf(s3371,plain,
( ~ spl0_444
| spl0_454
| ~ spl0_655 ),
inference(sat_conversion,[],[f41437]) ).
cnf(s3372,plain,
( ~ spl0_78
| ~ spl0_624
| spl0_648 ),
inference(sat_conversion,[],[f41438]) ).
cnf(s3374,plain,
( ~ spl0_365
| ~ spl0_533
| ~ spl0_570 ),
inference(sat_conversion,[],[f41452]) ).
cnf(s3375,plain,
( ~ spl0_31
| spl0_297
| ~ spl0_365 ),
inference(sat_conversion,[],[f41454]) ).
cnf(s3376,plain,
( ~ spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f41455]) ).
cnf(s3378,plain,
( ~ spl0_25
| ~ spl0_655
| spl0_658 ),
inference(sat_conversion,[],[f41465]) ).
cnf(s3379,plain,
( spl0_12
| ~ spl0_279 ),
inference(sat_conversion,[],[f41478]) ).
cnf(s3381,plain,
( spl0_98
| ~ spl0_297
| spl0_305 ),
inference(sat_conversion,[],[f41507]) ).
cnf(s3383,plain,
( ~ spl0_297
| spl0_310
| spl0_469 ),
inference(sat_conversion,[],[f41509]) ).
cnf(s3386,plain,
( ~ spl0_34
| spl0_51
| ~ spl0_658 ),
inference(sat_conversion,[],[f41538]) ).
cnf(s3389,plain,
( ~ spl0_256
| spl0_296
| spl0_324 ),
inference(sat_conversion,[],[f41584]) ).
cnf(s3393,plain,
( ~ spl0_286
| ~ spl0_535
| ~ spl0_618 ),
inference(sat_conversion,[],[f41638]) ).
cnf(s3396,plain,
( spl0_279
| ~ spl0_462
| ~ spl0_545
| ~ spl0_618 ),
inference(sat_conversion,[],[f41663]) ).
cnf(s3402,plain,
( ~ spl0_370
| ~ spl0_540
| ~ spl0_626 ),
inference(sat_conversion,[],[f41706]) ).
cnf(s3405,plain,
( ~ spl0_289
| spl0_290
| ~ spl0_653 ),
inference(sat_conversion,[],[f41717]) ).
cnf(s3406,plain,
( ~ spl0_532
| spl0_535
| ~ spl0_653 ),
inference(sat_conversion,[],[f41718]) ).
cnf(s3410,plain,
( ~ spl0_1
| spl0_303
| ~ spl0_550
| ~ spl0_617 ),
inference(sat_conversion,[],[f41723]) ).
cnf(s3411,plain,
( ~ spl0_1
| ~ spl0_325
| spl0_553
| ~ spl0_618 ),
inference(sat_conversion,[],[f41724]) ).
cnf(s3412,plain,
( ~ spl0_308
| spl0_365
| ~ spl0_653 ),
inference(sat_conversion,[],[f41725]) ).
cnf(s3418,plain,
( ~ spl0_357
| spl0_449
| ~ spl0_653 ),
inference(sat_conversion,[],[f41765]) ).
cnf(s3423,plain,
( spl0_28
| spl0_305
| ~ spl0_314
| spl0_474 ),
inference(sat_conversion,[],[f41810]) ).
cnf(s3427,plain,
( spl0_541
| ~ spl0_553
| spl0_644 ),
inference(sat_conversion,[],[f41831]) ).
cnf(s3432,plain,
( ~ spl0_287
| spl0_310
| spl0_313 ),
inference(sat_conversion,[],[f41885]) ).
cnf(s3441,plain,
( ~ spl0_288
| ~ spl0_378
| ~ spl0_457 ),
inference(sat_conversion,[],[f41944]) ).
cnf(s3444,plain,
( ~ spl0_287
| spl0_305
| spl0_311
| spl0_312 ),
inference(sat_conversion,[],[f41947]) ).
cnf(s3445,plain,
( ~ spl0_305
| spl0_324 ),
inference(sat_conversion,[],[f41965]) ).
cnf(s3448,plain,
( ~ spl0_116
| ~ spl0_370
| ~ spl0_444 ),
inference(sat_conversion,[],[f41982]) ).
cnf(s3450,plain,
( ~ spl0_1
| ~ spl0_36
| spl0_303
| ~ spl0_444 ),
inference(sat_conversion,[],[f41984]) ).
cnf(s3452,plain,
( ~ spl0_303
| spl0_446
| spl0_457 ),
inference(sat_conversion,[],[f42000]) ).
cnf(s3461,plain,
( spl0_310
| ~ spl0_534
| spl0_545 ),
inference(sat_conversion,[],[f42102]) ).
cnf(s3464,plain,
( spl0_305
| ~ spl0_534
| spl0_540
| spl0_644 ),
inference(sat_conversion,[],[f42107]) ).
cnf(s3465,plain,
( ~ spl0_378
| ~ spl0_531
| ~ spl0_644 ),
inference(sat_conversion,[],[f42134]) ).
cnf(s3471,plain,
( ~ spl0_81
| spl0_357
| ~ spl0_531
| spl0_543 ),
inference(rat,[],[s2165,s2213]) ).
cnf(s3492,plain,
( ~ spl0_12
| ~ spl0_28
| spl0_29
| ~ spl0_49
| ~ spl0_54
| ~ spl0_57
| ~ spl0_286 ),
inference(rat,[],[s1167,s1238]) ).
cnf(s3500,plain,
( ~ spl0_49
| ~ spl0_286
| spl0_298 ),
inference(rat,[],[s1157,s1398]) ).
cnf(s3572,plain,
( ~ spl0_21
| ~ spl0_88 ),
inference(rat,[],[s416,s2765,s2766]) ).
cnf(s3573,plain,
( ~ spl0_25
| spl0_6
| spl0_1 ),
inference(rat,[],[s108,s112,s29,s84,s120,s416,s2783,s135,s3018,s3376,s3004,s2,s1,s55,s3181]) ).
cnf(s3574,plain,
( ~ spl0_22
| ~ spl0_28
| ~ spl0_8
| ~ spl0_12
| ~ spl0_2 ),
inference(rat,[],[s108,s112]) ).
cnf(s3575,plain,
( spl0_6
| spl0_1 ),
inference(rat,[],[s29,s122,s3574,s66,s82,s3573,s2783,s3376,s135,s3004,s2,s1,s55,s3181]) ).
cnf(s3576,plain,
( ~ spl0_8
| ~ spl0_22
| spl0_36
| ~ spl0_12
| ~ spl0_2 ),
inference(rat,[],[s3574,s84]) ).
cnf(s3577,plain,
( ~ spl0_25
| ~ spl0_7
| spl0_1 ),
inference(rat,[],[s2747,s3030,s2920,s2824,s2275,s2917,s3576,s29,s120,s416,s3203,s2,s1,s55,s3181,s200,s3575,s3018,s3376,s158,s1238]) ).
cnf(s3578,plain,
( ~ spl0_8
| ~ spl0_7
| spl0_1 ),
inference(rat,[],[s29,s122,s3574,s66,s82,s1,s55,s3181,s3376,s3577]) ).
cnf(s3579,plain,
( ~ spl0_7
| spl0_1 ),
inference(rat,[],[s2712,s2303,s2912,s1781,s2257,s2787,s2920,s229,s2275,s5,s2917,s3578,s3018,s3376,s3203,s2,s1,s55,s3181,s200,s3575,s1398,s1238]) ).
cnf(s3580,plain,
( ~ spl0_25
| spl0_1 ),
inference(rat,[],[s1819,s2846,s2871,s3030,s3432,s2970,s2713,s2303,s1781,s2639,s3231,s2788,s2719,s1791,s2787,s229,s5,s1,s2824,s2275,s2917,s60,s3579,s55,s3181,s3203,s200,s3575,s1398,s1238]) ).
cnf(s3581,plain,
( ~ spl0_550
| spl0_1 ),
inference(rat,[],[s2612,s2608,s3089,s2618,s2646,s1441,s2840,s3256,s3253,s2719,s1791,s2824,s2783,s3187,s108,s29,s121,s3580,s8,s3379,s3243,s2713,s2303,s1781,s2275,s2917,s3203,s2639,s3231,s2788,s200,s3575,s2787,s3191,s142,s229,s5,s60,s2,s1,s55,s3181,s3579,s1398,s1349,s158,s1238]) ).
cnf(s3582,plain,
spl0_1,
inference(rat,[],[s262,s2258,s134,s3581,s1486,s3187,s2916,s108,s29,s121,s3580,s3379,s3243,s2713,s2719,s2303,s1503,s2639,s1791,s1781,s3231,s142,s2787,s2788,s2824,s229,s2275,s5,s2917,s8,s60,s3184,s3579,s200,s3575,s2,s3191,s55,s1,s3181,s3203,s1238,s158,s1398]) ).
cnf(s3583,plain,
( ~ spl0_23
| ~ spl0_25
| ~ spl0_12
| spl0_7 ),
inference(rat,[],[s224,s3184,s3012,s3327,s413,s179,s416,s122,s8,s263,s60,s33,s3582]) ).
cnf(s3586,plain,
( spl0_316
| spl0_308
| ~ spl0_326
| ~ spl0_3
| spl0_36
| ~ spl0_22 ),
inference(rat,[],[s2719,s1525,s2916,s2750,s1503,s1398,s1238]) ).
cnf(s3587,plain,
( spl0_550
| ~ spl0_279
| ~ spl0_332
| ~ spl0_315
| ~ spl0_653
| ~ spl0_28
| ~ spl0_56
| ~ spl0_22 ),
inference(rat,[],[s2148,s3406,s2997,s2705,s2905,s1238]) ).
cnf(s3588,plain,
( spl0_308
| ~ spl0_54
| ~ spl0_324
| ~ spl0_28
| ~ spl0_57
| ~ spl0_56
| ~ spl0_3
| spl0_36
| ~ spl0_22
| ~ spl0_81
| ~ spl0_12 ),
inference(rat,[],[s2175,s2148,s2996,s3265,s2608,s2354,s2618,s3587,s3349,s3220,s1303,s3432,s291,s2719,s2704,s1441,s1525,s1796,s1804,s2976,s3586,s1735,s2973,s2922,s2765,s3134,s1405,s1238,s1349,s1398,s3582,s158]) ).
cnf(s3589,plain,
( spl0_570
| spl0_316
| ~ spl0_370
| ~ spl0_51
| ~ spl0_54
| ~ spl0_22 ),
inference(rat,[],[s2608,s2626,s2612,s2864,s3089,s1398,s2213,s1349]) ).
cnf(s3590,plain,
( ~ spl0_54
| ~ spl0_324
| ~ spl0_28
| ~ spl0_57
| ~ spl0_56
| ~ spl0_3
| spl0_36
| spl0_23
| ~ spl0_81
| ~ spl0_25
| ~ spl0_12 ),
inference(rat,[],[s3016,s2149,s2901,s3374,s3589,s2976,s1784,s3220,s2885,s2719,s1003,s3492,s269,s3201,s291,s3202,s2880,s3326,s1487,s3588,s29,s2922,s2765,s1238,s1420,s1398,s158,s3582]) ).
cnf(s3591,plain,
( ~ spl0_3
| spl0_36
| ~ spl0_25
| ~ spl0_12
| spl0_7 ),
inference(rat,[],[s2905,s2864,s3250,s3146,s2149,s2148,s1303,s3016,s3471,s291,s3068,s2920,s3386,s413,s2783,s3590,s1405,s2324,s3187,s3011,s3184,s3378,s3044,s263,s60,s33,s29,s3583,s2922,s2829,s2765,s3582,s1238,s1349,s158]) ).
cnf(s3592,plain,
( spl0_36
| ~ spl0_25
| ~ spl0_12
| spl0_7 ),
inference(rat,[],[s3386,s133,s134,s3327,s3591,s2765,s8,s3378,s3044]) ).
cnf(s3593,plain,
( spl0_308
| ~ spl0_69
| ~ spl0_57
| ~ spl0_22 ),
inference(rat,[],[s2619,s1135,s2149,s2719,s2999,s2916,s1503,s2608,s2612,s3089,s2656,s2677,s1238,s1398,s1349,s2213]) ).
cnf(s3594,plain,
( ~ spl0_28
| ~ spl0_67
| ~ spl0_57
| ~ spl0_36
| ~ spl0_22
| ~ spl0_12 ),
inference(rat,[],[s2260,s1486,s2880,s3593,s240]) ).
cnf(s3595,plain,
( ~ spl0_444
| ~ spl0_116
| ~ spl0_54
| ~ spl0_83
| ~ spl0_25 ),
inference(rat,[],[s1863,s3448,s1349]) ).
cnf(s3596,plain,
( ~ spl0_324
| spl0_444
| ~ spl0_26
| ~ spl0_56
| ~ spl0_57
| ~ spl0_36
| spl0_23 ),
inference(rat,[],[s2302,s1525,s1135,s2719,s3432,s1819,s3143,s2971,s3136,s2846,s178,s1735,s1830,s1930,s1486,s1405,s1398,s158]) ).
cnf(s3597,plain,
( ~ spl0_25
| ~ spl0_12
| spl0_7 ),
inference(rat,[],[s2612,s2608,s3089,s2618,s2646,s2733,s2258,s1289,s1294,s2324,s3596,s3595,s3358,s999,s3201,s36,s118,s3594,s3010,s3184,s1319,s3012,s262,s3327,s2725,s413,s179,s163,s265,s287,s416,s3592,s29,s3583,s263,s60,s33,s130,s8,s1398,s1349,s158,s1238,s3582]) ).
cnf(s3598,plain,
( spl0_34
| spl0_8
| ~ spl0_324
| ~ spl0_28
| ~ spl0_57
| ~ spl0_56
| ~ spl0_3
| spl0_36
| ~ spl0_22
| spl0_25
| ~ spl0_12 ),
inference(rat,[],[s3326,s3588,s2804,s2783,s263,s5,s3582]) ).
cnf(s3599,plain,
( ~ spl0_3
| spl0_36
| ~ spl0_12
| spl0_7 ),
inference(rat,[],[s3093,s3250,s1826,s2149,s1820,s3016,s2731,s3051,s2920,s413,s3598,s263,s60,s1405,s40,s2324,s3187,s3011,s3184,s29,s121,s3597,s8,s2829,s1349,s1238,s3582,s158]) ).
cnf(s3600,plain,
( ~ spl0_324
| ~ spl0_81
| ~ spl0_88
| spl0_51
| spl0_25 ),
inference(rat,[],[s2729,s1735,s2920,s3326,s158,s3582]) ).
cnf(s3601,plain,
( spl0_36
| ~ spl0_12
| spl0_7 ),
inference(rat,[],[s3412,s3149,s1733,s3136,s3143,s1729,s3375,s3001,s3095,s3445,s3600,s263,s36,s84,s2709,s999,s413,s133,s134,s3327,s3599,s2766,s121,s3597,s8,s3582]) ).
cnf(s3602,plain,
( spl0_34
| spl0_67
| spl0_8
| spl0_7 ),
inference(rat,[],[s2710,s1319,s262,s2783,s134,s8]) ).
cnf(s3603,plain,
( ~ spl0_28
| spl0_8
| ~ spl0_57
| ~ spl0_12
| spl0_7 ),
inference(rat,[],[s2729,s1735,s2920,s1486,s2278,s2947,s1078,s415,s2725,s3201,s291,s3202,s2709,s413,s3602,s3594,s2766,s29,s121,s3597,s8,s3601,s263,s158,s1238,s3582]) ).
cnf(s3604,plain,
( ~ spl0_324
| ~ spl0_80
| ~ spl0_83
| ~ spl0_116
| ~ spl0_26
| ~ spl0_81
| ~ spl0_651
| ~ spl0_57
| ~ spl0_56
| ~ spl0_36
| spl0_23
| spl0_25
| ~ spl0_12 ),
inference(rat,[],[s2711,s2706,s2915,s2186,s2713,s2148,s3359,s2155,s2312,s2729,s1864,s3448,s1735,s3596,s1486,s29,s1398,s1238,s1349,s158]) ).
cnf(s3605,plain,
( spl0_34
| spl0_8
| ~ spl0_3
| ~ spl0_12
| spl0_7 ),
inference(rat,[],[s2612,s2608,s3089,s2618,s2646,s2733,s2258,s1289,s1294,s2324,s3604,s262,s2917,s134,s29,s3601,s3184,s263,s36,s3358,s999,s3201,s118,s3603,s3011,s130,s121,s3597,s8,s3010,s1398,s1349,s158,s1238]) ).
cnf(s3606,plain,
( spl0_8
| ~ spl0_3
| ~ spl0_12
| spl0_7 ),
inference(rat,[],[s2996,s2608,s3041,s2618,s2258,s262,s3095,s3001,s2912,s1437,s2824,s1550,s2283,s2323,s3445,s3600,s413,s3605,s3201,s118,s3603,s263,s130,s121,s3597,s8,s3184,s3011,s1349,s1398,s1238,s3582]) ).
cnf(s3607,plain,
( ~ spl0_8
| ~ spl0_12
| spl0_7 ),
inference(rat,[],[s40,s82,s60,s3597]) ).
cnf(s3608,plain,
( ~ spl0_12
| spl0_7 ),
inference(rat,[],[s3149,s3418,s1733,s2731,s3136,s2846,s3143,s1829,s1729,s3375,s3001,s3095,s3445,s36,s3600,s2709,s999,s413,s133,s134,s3327,s3606,s263,s3607,s3601,s121,s2766,s3597,s8,s1238,s1398,s3582]) ).
cnf(s3609,plain,
( spl0_36
| ~ spl0_25
| spl0_7 ),
inference(rat,[],[s134,s3386,s3327,s3201,s3187,s122,s8,s118,s38,s3608,s130,s33,s3378,s3044,s158]) ).
cnf(s3610,plain,
( ~ spl0_25
| spl0_7 ),
inference(rat,[],[s2945,s178,s1735,s1830,s1930,s1486,s1405,s2278,s3012,s2725,s413,s287,s416,s3609,s263,s60,s33,s8,s3143,s36,s38,s3379,s3608,s158,s1398,s1238,s3582]) ).
cnf(s3611,plain,
spl0_7,
inference(rat,[],[s3381,s2725,s3375,s2278,s3445,s3412,s3326,s3149,s1733,s999,s3136,s3201,s121,s3610,s3143,s36,s118,s38,s3379,s3608,s8,s130,s1238,s3582]) ).
cnf(s3612,plain,
spl0_12,
inference(rat,[],[s3376,s3611]) ).
cnf(s3613,plain,
spl0_88,
inference(rat,[],[s3018,s3611,s3612]) ).
cnf(s3614,plain,
~ spl0_21,
inference(rat,[],[s3572,s3613]) ).
cnf(s3618,plain,
( ~ spl0_324
| spl0_553
| spl0_543
| ~ spl0_81 ),
inference(rat,[],[s2148,s3471,s3146,s2920,s1238,s3582,s3613]) ).
cnf(s3620,plain,
( spl0_34
| ~ spl0_3
| spl0_8
| ~ spl0_25 ),
inference(rat,[],[s2824,s3030,s2269,s2747,s3618,s2863,s3012,s2783,s263,s5,s3068,s3378,s3044,s119,s158,s3613,s3612,s3611,s1349]) ).
cnf(s3621,plain,
( ~ spl0_324
| ~ spl0_51
| ~ spl0_3
| ~ spl0_81
| ~ spl0_25 ),
inference(rat,[],[s3393,s2609,s2719,s3114,s2885,s3220,s2976,s3586,s3423,s1436,s3135,s2245,s1735,s2757,s2846,s3412,s3369,s3374,s3406,s2149,s2148,s2864,s3016,s3471,s2722,s2801,s3618,s2920,s3134,s2922,s2737,s29,s120,s33,s3068,s3378,s3044,s119,s291,s1398,s2213,s1238,s3582,s3614,s158,s3613,s3612,s3611,s1349]) ).
cnf(s3623,plain,
( spl0_316
| ~ spl0_622
| ~ spl0_550
| ~ spl0_51
| ~ spl0_22 ),
inference(rat,[],[s2608,s3410,s2612,s3144,s1398,s3582]) ).
cnf(s3624,plain,
( ~ spl0_3
| spl0_8
| ~ spl0_25 ),
inference(rat,[],[s2912,s2885,s2691,s2719,s3084,s3623,s3089,s3093,s3374,s2149,s3016,s2975,s3412,s3152,s3149,s2744,s3389,s3621,s291,s3386,s3620,s3068,s119,s3378,s3044,s29,s120,s33,s263,s3613,s1238,s1398,s1349,s158,s3614,s3612,s3611]) ).
cnf(s3625,plain,
( ~ spl0_5
| ~ spl0_658 ),
inference(rat,[],[s134,s125,s3386,s3179,s133,s3582,s3611,s3614]) ).
cnf(s3626,plain,
( ~ spl0_28
| ~ spl0_22
| ~ spl0_8 ),
inference(rat,[],[s96,s103,s3611,s3612,s3582]) ).
cnf(s3627,plain,
~ spl0_25,
inference(rat,[],[s3626,s84,s3624,s3327,s3625,s29,s3378,s120,s119,s33,s3044,s3611,s3612]) ).
cnf(s3628,plain,
spl0_78,
inference(rat,[],[s2727,s158,s3627]) ).
cnf(s3630,plain,
( spl0_553
| ~ spl0_325
| ~ spl0_307
| ~ spl0_365
| ~ spl0_655
| ~ spl0_22
| spl0_305
| ~ spl0_31 ),
inference(rat,[],[s2609,s3411,s3113,s2149,s2965,s3372,s3370,s2390,s3008,s1398,s3582,s1238,s3628,s3611]) ).
cnf(s3632,plain,
( spl0_325
| ~ spl0_3
| spl0_324
| ~ spl0_57
| ~ spl0_54 ),
inference(rat,[],[s2268,s2712,s2257,s1398]) ).
cnf(s3633,plain,
( spl0_543
| spl0_34
| spl0_8 ),
inference(rat,[],[s2609,s3411,s3114,s2863,s2912,s3632,s3327,s134,s125,s3179,s3600,s2804,s5,s3012,s263,s2783,s1398,s3582,s2213,s3613,s3627,s3611]) ).
cnf(s3635,plain,
( spl0_34
| spl0_8 ),
inference(rat,[],[s2627,s3402,s2608,s2369,s2616,s2243,s2249,s3041,s3633,s2800,s3189,s2912,s3632,s262,s3327,s2824,s134,s2269,s125,s3600,s3179,s2804,s3012,s2783,s2917,s3020,s263,s5,s1398,s1349,s1238,s3613,s3582,s3611,s3627]) ).
cnf(s3636,plain,
( spl0_543
| ~ spl0_22
| ~ spl0_324
| ~ spl0_81 ),
inference(rat,[],[s3374,s2149,s2864,s3016,s3618,s3600,s3369,s3064,s1820,s2731,s2920,s1238,s3627,s3613]) ).
cnf(s3637,plain,
( ~ spl0_325
| spl0_297
| spl0_357
| ~ spl0_81 ),
inference(rat,[],[s2719,s2885,s2244,s2912,s1398,s1238,s3582,s3613]) ).
cnf(s3639,plain,
( ~ spl0_324
| spl0_36
| ~ spl0_3
| spl0_8 ),
inference(rat,[],[s2885,s3220,s2719,s3396,s3084,s2693,s2750,s3637,s1729,s3001,s3383,s3168,s3461,s2874,s2149,s3174,s3093,s3051,s3041,s3636,s29,s122,s44,s3150,s3369,s3064,s1733,s1820,s262,s2729,s2731,s133,s291,s2920,s3600,s263,s3635,s2922,s1238,s1398,s3612,s1349,s3613,s3582,s158,s3627,s3614]) ).
cnf(s3640,plain,
( ~ spl0_644
| ~ spl0_366
| ~ spl0_378
| ~ spl0_137 ),
inference(rat,[],[s2148,s3260,s3465,s2978,s1238]) ).
cnf(s3641,plain,
( ~ spl0_618
| ~ spl0_325
| ~ spl0_22
| spl0_644
| ~ spl0_51
| ~ spl0_365
| spl0_305 ),
inference(rat,[],[s2149,s3374,s3464,s2864,s2370,s3411,s3104,s1238,s3582]) ).
cnf(s3642,plain,
( spl0_550
| ~ spl0_80
| spl0_324
| spl0_36
| ~ spl0_3 ),
inference(rat,[],[s3093,s2249,s3209,s3063,s2747,s1349,s1238,s158]) ).
cnf(s3643,plain,
( ~ spl0_325
| ~ spl0_22
| spl0_543
| spl0_644
| ~ spl0_51
| ~ spl0_365
| spl0_305
| ~ spl0_81 ),
inference(rat,[],[s2609,s3114,s3641,s2912,s1398,s2213,s3613]) ).
cnf(s3644,plain,
( spl0_325
| spl0_324
| spl0_36
| ~ spl0_3 ),
inference(rat,[],[s3084,s2691,s2750,s3209,s3063,s2747,s1398,s1238,s158]) ).
cnf(s3645,plain,
( ~ spl0_4
| ~ spl0_24 ),
inference(rat,[],[s42,s44,s50]) ).
cnf(s3646,plain,
( ~ spl0_51
| ~ spl0_22
| spl0_324
| spl0_36
| ~ spl0_3
| ~ spl0_81 ),
inference(rat,[],[s3041,s3643,s3642,s3640,s262,s3152,s133,s291,s2737,s3445,s2257,s3389,s2744,s3644,s3209,s3063,s2747,s3613,s3614,s158,s1398]) ).
cnf(s3647,plain,
( spl0_36
| ~ spl0_3
| spl0_8 ),
inference(rat,[],[s2385,s2651,s3427,s3642,s3640,s262,s3152,s3630,s3095,s3381,s1503,s3375,s2704,s999,s3646,s3209,s29,s3644,s2747,s2744,s3056,s3063,s3389,s2257,s3445,s122,s3639,s2737,s263,s3645,s2716,s5,s3614,s3582,s158,s1398,s3627]) ).
cnf(s3648,plain,
( ~ spl0_324
| ~ spl0_36
| ~ spl0_81 ),
inference(rat,[],[s2729,s1735,s2920,s1486,s158,s3627,s3613]) ).
cnf(s3649,plain,
( spl0_308
| ~ spl0_51
| ~ spl0_36
| ~ spl0_34 ),
inference(rat,[],[s1729,s3143,s3001,s3136,s3145,s1735,s36,s129,s29,s121,s126,s3612,s158,s3627,s3611]) ).
cnf(s3650,plain,
( spl0_543
| ~ spl0_298
| ~ spl0_325
| ~ spl0_365
| ~ spl0_51
| ~ spl0_36
| ~ spl0_81 ),
inference(rat,[],[s3345,s2148,s2609,s3465,s3114,s3643,s29,s121,s126,s3445,s2257,s3648,s2912,s1238,s1398,s2213,s3613,s3627,s3611]) ).
cnf(s3651,plain,
( ~ spl0_325
| ~ spl0_51
| ~ spl0_36
| spl0_8 ),
inference(rat,[],[s2609,s3345,s3113,s2243,s2249,s3041,s3650,s3500,s2719,s3444,s1801,s3127,s3285,s3450,s3144,s1503,s2711,s29,s3445,s3648,s263,s3201,s121,s126,s262,s133,s3412,s3149,s3649,s3635,s1398,s1238,s3613,s3612,s3628,s3582,s3614,s3627,s3611]) ).
cnf(s3652,plain,
( spl0_550
| ~ spl0_290
| spl0_325
| ~ spl0_80
| spl0_324 ),
inference(rat,[],[s2619,s2692,s2249,s1398,s1238]) ).
cnf(s3653,plain,
( ~ spl0_51
| ~ spl0_3
| spl0_8 ),
inference(rat,[],[s3089,s3623,s2646,s3652,s3084,s3405,s2691,s2720,s3651,s3412,s3149,s3649,s262,s133,s3635,s29,s121,s126,s3648,s3647,s263,s1349,s1398,s3614,s3627,s3611]) ).
cnf(s3654,plain,
( ~ spl0_533
| ~ spl0_290
| spl0_459
| ~ spl0_449
| ~ spl0_81 ),
inference(rat,[],[s2608,s2616,s2619,s1398,s1349]) ).
cnf(s3655,plain,
( spl0_533
| ~ spl0_80
| spl0_308
| spl0_324
| ~ spl0_36 ),
inference(rat,[],[s2642,s2646,s2999,s2249,s2149,s29,s121,s126,s1238,s3627,s3611]) ).
cnf(s3656,plain,
( ~ spl0_325
| ~ spl0_533
| ~ spl0_315
| ~ spl0_36
| ~ spl0_81 ),
inference(rat,[],[s3405,s3076,s2713,s3654,s2915,s2912,s2711,s29,s1729,s3143,s3136,s121,s126,s36,s129,s1398,s3613,s3612,s3611,s3627]) ).
cnf(s3657,plain,
( spl0_308
| ~ spl0_3
| spl0_8 ),
inference(rat,[],[s3654,s1791,s3405,s2691,s2720,s3039,s3656,s3655,s262,s3095,s3001,s1729,s3143,s3136,s1735,s3635,s36,s129,s121,s126,s3445,s3648,s3647,s263,s1398,s3612,s158,s3627,s3611]) ).
cnf(s3658,plain,
( spl0_550
| spl0_316
| ~ spl0_80
| ~ spl0_365
| ~ spl0_653
| spl0_324
| ~ spl0_36
| ~ spl0_34 ),
inference(rat,[],[s3444,s1801,s3127,s3285,s3450,s3452,s3441,s2713,s3405,s2619,s2719,s2608,s3393,s2612,s2609,s3089,s3406,s3113,s3374,s2243,s2249,s29,s121,s126,s3445,s2257,s1503,s1788,s3612,s3628,s3582,s1398,s1349,s1238,s3614,s3627,s3611]) ).
cnf(s3659,plain,
( ~ spl0_325
| ~ spl0_3
| spl0_8 ),
inference(rat,[],[s3444,s1801,s3127,s2303,s3371,s2885,s3126,s2719,s2713,s3393,s3441,s3406,s3452,s2148,s3410,s3465,s2608,s2609,s3427,s2996,s3114,s2385,s3041,s2646,s3658,s3630,s1788,s1503,s2912,s2711,s3635,s29,s121,s126,s2257,s3056,s262,s3095,s3375,s3412,s3149,s3657,s999,s3653,s3445,s3648,s3647,s263,s3612,s3628,s1238,s1398,s3582,s1349,s2213,s3614,s3613,s158,s3627,s3611]) ).
cnf(s3660,plain,
( ~ spl0_3
| spl0_8 ),
inference(rat,[],[s3372,s3370,s2965,s2390,s3008,s3427,s3465,s2148,s3406,s3393,s2609,s3114,s1791,s3418,s3006,s2149,s2619,s2608,s2612,s3097,s2385,s3089,s3041,s2646,s3652,s3084,s3405,s2691,s2720,s3659,s262,s3095,s3375,s3412,s3149,s3657,s999,s3653,s3056,s2257,s3445,s3648,s29,s121,s126,s3647,s263,s5,s3628,s3582,s3611,s1238,s1398,s2213,s3614,s1349,s3613,s158,s3627]) ).
cnf(s3661,plain,
spl0_8,
inference(rat,[],[s3412,s3149,s1733,s3136,s3143,s1729,s3375,s3001,s3095,s121,s3445,s36,s125,s3600,s2767,s999,s3179,s133,s3327,s3660,s3635,s263,s3612,s3627,s3582,s3611,s3613,s3614]) ).
cnf(s3665,plain,
spl0_28,
inference(rat,[],[s82,s3627,s3661]) ).
cnf(s3666,plain,
~ spl0_36,
inference(rat,[],[s66,s3627,s3611,s3661]) ).
cnf(s3668,plain,
~ spl0_4,
inference(rat,[],[s40,s3612,s3665]) ).
cnf(s3669,plain,
~ spl0_22,
inference(rat,[],[s3626,s3661,s3665]) ).
cnf(s3673,plain,
~ spl0_23,
inference(rat,[],[s122,s3668,s3666]) ).
cnf(s3682,plain,
$false,
inference(rat,[],[s29,s3673,s3669]) ).
thf(f42135,plain,
$false,
inference(avatar_sat_refutation,[],[s3682]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA133^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n017.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 18:58:08 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running higher-order theorem proving
% 0.10/0.24 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
% 0.21/0.35 % (751657)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.35 % (751664)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1442408593:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.35 % (751664)Instruction limit reached!
% 0.21/0.35 % (751664)------------------------------
% 0.21/0.35 % (751664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (751664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (751664)CaDiCaL version: 2.1.3
% 0.21/0.35 % (751664)Termination reason: Instruction limit
% 0.21/0.35 % (751664)Termination phase: Saturation
% 0.21/0.35 % (751664)Time elapsed: 0.002 s
% 0.21/0.35 % (751664)Peak memory usage: 12 MB
% 0.21/0.35 % (751664)Instructions burned: 6 (million)
% 0.21/0.35 % (751668)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.35 % (751668)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.21/0.35 % (751663)lrs+10_16_si=on:nwc=1.5:random_seed=808721778:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.35 % (751662)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=813927630:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.35 % (751668)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=2432581825:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.35 % (751666)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=405506603:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.35 % (751665)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=1329121093:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.21/0.35 % (751667)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1928596852:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.35 % (751670)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3357138902:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.35 % (751670)Instruction limit reached!
% 0.21/0.35 % (751670)------------------------------
% 0.21/0.35 % (751670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (751670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (751670)CaDiCaL version: 2.1.3
% 0.21/0.35 % (751670)Termination reason: Instruction limit
% 0.21/0.35 % (751670)Termination phase: Saturation
% 0.21/0.35 % (751670)Time elapsed: 0.001 s
% 0.21/0.35 % (751670)Peak memory usage: 12 MB
% 0.21/0.35 % (751670)Instructions burned: 2 (million)
% 0.21/0.35 % (751663)Instruction limit reached!
% 0.21/0.35 % (751663)------------------------------
% 0.21/0.35 % (751663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (751663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (751663)CaDiCaL version: 2.1.3
% 0.21/0.35 % (751663)Termination reason: Instruction limit
% 0.21/0.35 % (751663)Termination phase: Saturation
% 0.21/0.35 % (751663)Time elapsed: 0.009 s
% 0.21/0.35 % (751663)Peak memory usage: 12 MB
% 0.21/0.35 % (751663)Instructions burned: 18 (million)
% 0.21/0.35 % (751666)Instruction limit reached!
% 0.21/0.35 % (751666)------------------------------
% 0.21/0.35 % (751666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.35 % (751666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.35 % (751666)CaDiCaL version: 2.1.3
% 0.21/0.35 % (751666)Termination reason: Instruction limit
% 0.21/0.35 % (751666)Termination phase: Saturation
% 0.21/0.35 % (751666)Time elapsed: 0.011 s
% 0.21/0.35 % (751666)Peak memory usage: 11 MB
% 0.21/0.35 % (751666)Instructions burned: 24 (million)
% 0.21/0.35 % (751678)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2316476670:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.21/0.35 % (751678)Instruction limit reached!
% 0.77/0.38 % (751678)------------------------------
% 0.77/0.38 % (751678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.38 % (751678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.38 % (751678)CaDiCaL version: 2.1.3
% 0.77/0.38 % (751678)Termination reason: Instruction limit
% 0.77/0.38 % (751678)Termination phase: Saturation
% 0.77/0.38 % (751678)Time elapsed: 0.002 s
% 0.77/0.38 % (751678)Peak memory usage: 11 MB
% 0.77/0.38 % (751678)Instructions burned: 6 (million)
% 0.77/0.38 % (751679)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.77/0.38 % (751679)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=722541218:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.77/0.38 % (751682)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
% 0.77/0.38 % (751682)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.77/0.38 % (751682)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1960703866:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.77/0.38 % (751680)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1524811406:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.77/0.38 % (751679)Instruction limit reached!
% 0.77/0.38 % (751679)------------------------------
% 0.77/0.38 % (751679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.38 % (751679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.38 % (751679)CaDiCaL version: 2.1.3
% 0.77/0.38 % (751679)Termination reason: Instruction limit
% 0.77/0.38 % (751679)Termination phase: Saturation
% 0.77/0.38 % (751679)Time elapsed: 0.005 s
% 0.77/0.38 % (751679)Peak memory usage: 12 MB
% 0.77/0.38 % (751679)Instructions burned: 8 (million)
% 0.77/0.38 % (751682)Instruction limit reached!
% 0.77/0.38 % (751682)------------------------------
% 0.77/0.38 % (751682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.38 % (751682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.38 % (751682)CaDiCaL version: 2.1.3
% 0.77/0.38 % (751682)Termination reason: Instruction limit
% 0.77/0.38 % (751682)Termination phase: Saturation
% 0.77/0.38 % (751682)Time elapsed: 0.007 s
% 0.77/0.38 % (751682)Peak memory usage: 12 MB
% 0.77/0.38 % (751682)Instructions burned: 28 (million)
% 0.77/0.38 % (751667)Instruction limit reached!
% 0.77/0.38 % (751667)------------------------------
% 0.77/0.38 % (751667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.38 % (751667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.38 % (751667)CaDiCaL version: 2.1.3
% 0.77/0.38 % (751667)Termination reason: Instruction limit
% 0.77/0.38 % (751667)Termination phase: Saturation
% 0.77/0.38 % (751667)Time elapsed: 0.037 s
% 0.77/0.38 % (751667)Peak memory usage: 12 MB
% 0.77/0.38 % (751667)Instructions burned: 76 (million)
% 0.77/0.38 % (751680)Instruction limit reached!
% 0.77/0.38 % (751680)------------------------------
% 0.77/0.38 % (751680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.38 % (751680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.38 % (751680)CaDiCaL version: 2.1.3
% 0.77/0.38 % (751680)Termination reason: Instruction limit
% 0.77/0.38 % (751680)Termination phase: Saturation
% 0.77/0.38 % (751680)Time elapsed: 0.007 s
% 0.77/0.38 % (751680)Peak memory usage: 12 MB
% 0.77/0.38 % (751680)Instructions burned: 12 (million)
% 0.77/0.38 % (751662)Instruction limit reached!
% 0.77/0.38 % (751662)------------------------------
% 0.77/0.38 % (751662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.38 % (751662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.38 % (751662)CaDiCaL version: 2.1.3
% 0.77/0.38 % (751662)Termination reason: Instruction limit
% 0.77/0.38 % (751662)Termination phase: Saturation
% 0.77/0.38 % (751662)Time elapsed: 0.039 s
% 0.77/0.38 % (751662)Peak memory usage: 12 MB
% 0.77/0.38 % (751662)Instructions burned: 88 (million)
% 0.77/0.40 % (751687)lrs+10_1_si=on:cs=on:random_seed=1673927563:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.77/0.40 % (751687)Instruction limit reached!
% 0.77/0.40 % (751687)------------------------------
% 0.77/0.40 % (751687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.40 % (751687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.40 % (751687)CaDiCaL version: 2.1.3
% 0.77/0.40 % (751687)Termination reason: Instruction limit
% 0.77/0.40 % (751687)Termination phase: Saturation
% 0.77/0.40 % (751687)Time elapsed: 0.003 s
% 0.77/0.40 % (751687)Peak memory usage: 12 MB
% 0.77/0.40 % (751687)Instructions burned: 9 (million)
% 0.77/0.40 % (751688)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.77/0.40 % (751686)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=3935638328:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.77/0.40 % (751688)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=2061793060:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.77/0.40 % (751689)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2141572874:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.77/0.40 % (751690)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1388753882:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.77/0.40 % (751689)Refutation not found, incomplete strategy
% 0.77/0.40 % (751689)------------------------------
% 0.77/0.40 % (751689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.40 % (751689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.40 % (751689)CaDiCaL version: 2.1.3
% 0.77/0.40 % (751689)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.40 % (751689)Time elapsed: 0.001 s
% 0.77/0.40 % (751689)Peak memory usage: 11 MB
% 0.77/0.40 % (751690)Refutation not found, incomplete strategy
% 0.77/0.40 % (751690)------------------------------
% 0.77/0.40 % (751690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.40 % (751690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.40 % (751690)CaDiCaL version: 2.1.3
% 0.77/0.40 % (751690)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.40 % (751690)Time elapsed: 0.001 s
% 0.77/0.40 % (751690)Peak memory usage: 11 MB
% 0.77/0.40 % (751689)------------------------------
% 0.77/0.40 % (751689)------------------------------
% 0.77/0.40 % (751688)Instruction limit reached!
% 0.77/0.40 % (751688)------------------------------
% 0.77/0.40 % (751688)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.40 % (751690)------------------------------
% 0.77/0.40 % (751690)------------------------------
% 0.77/0.40 % (751688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.40 % (751688)CaDiCaL version: 2.1.3
% 0.77/0.40 % (751688)Termination reason: Instruction limit
% 0.77/0.40 % (751688)Termination phase: Saturation
% 0.77/0.40 % (751688)Time elapsed: 0.003 s
% 0.77/0.40 % (751688)Peak memory usage: 11 MB
% 0.77/0.40 % (751688)Instructions burned: 5 (million)
% 0.77/0.40 % (751692)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2356304876:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.77/0.40 % (751692)Refutation not found, incomplete strategy
% 0.77/0.40 % (751692)------------------------------
% 0.77/0.40 % (751692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.40 % (751692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.40 % (751692)CaDiCaL version: 2.1.3
% 0.77/0.40 % (751692)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.40 % (751692)Time elapsed: 0.0000 s
% 0.77/0.40 % (751692)Peak memory usage: 12 MB
% 0.77/0.40 % (751692)------------------------------
% 0.77/0.40 % (751692)------------------------------
% 0.77/0.40 % (751668)Instruction limit reached!
% 0.77/0.40 % (751668)------------------------------
% 0.77/0.40 % (751668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.42 % (751668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.42 % (751668)CaDiCaL version: 2.1.3
% 0.77/0.42 % (751668)Termination reason: Instruction limit
% 0.77/0.42 % (751668)Termination phase: Saturation
% 0.77/0.42 % (751668)Time elapsed: 0.064 s
% 0.77/0.42 % (751668)Peak memory usage: 12 MB
% 0.77/0.42 % (751668)Instructions burned: 157 (million)
% 0.77/0.42 % (751701)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2193671338:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.77/0.42 % (751701)Refutation not found, incomplete strategy
% 0.77/0.42 % (751701)------------------------------
% 0.77/0.42 % (751701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.42 % (751701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.42 % (751701)CaDiCaL version: 2.1.3
% 0.77/0.42 % (751701)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.42 % (751701)Time elapsed: 0.0000 s
% 0.77/0.42 % (751701)Peak memory usage: 11 MB
% 0.77/0.42 % (751701)------------------------------
% 0.77/0.42 % (751701)------------------------------
% 0.77/0.42 % (751697)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2270394322:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.77/0.42 % (751698)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2448846414:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.77/0.42 % (751699)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1752280340:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.77/0.42 % (751698)Refutation not found, incomplete strategy
% 0.77/0.42 % (751698)------------------------------
% 0.77/0.42 % (751698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.42 % (751698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.42 % (751698)CaDiCaL version: 2.1.3
% 0.77/0.42 % (751698)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.42 % (751698)Time elapsed: 0.001 s
% 0.77/0.42 % (751698)Peak memory usage: 11 MB
% 0.77/0.42 % (751698)------------------------------
% 0.77/0.42 % (751698)------------------------------
% 0.77/0.42 % (751702)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=981776367:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.77/0.42 % (751704)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=4070437997:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.77/0.42 % (751699)Instruction limit reached!
% 0.77/0.42 % (751699)------------------------------
% 0.77/0.42 % (751699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.42 % (751699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.42 % (751699)CaDiCaL version: 2.1.3
% 0.77/0.42 % (751699)Termination reason: Instruction limit
% 0.77/0.42 % (751699)Termination phase: Saturation
% 0.77/0.42 % (751699)Time elapsed: 0.008 s
% 0.77/0.42 % (751699)Peak memory usage: 12 MB
% 0.77/0.42 % (751699)Instructions burned: 16 (million)
% 0.77/0.42 % (751697)Instruction limit reached!
% 0.77/0.42 % (751697)------------------------------
% 0.77/0.42 % (751697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.42 % (751697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.42 % (751697)CaDiCaL version: 2.1.3
% 0.77/0.42 % (751697)Termination reason: Instruction limit
% 0.77/0.42 % (751697)Termination phase: Saturation
% 0.77/0.42 % (751697)Time elapsed: 0.009 s
% 0.77/0.42 % (751697)Peak memory usage: 12 MB
% 0.77/0.42 % (751697)Instructions burned: 15 (million)
% 0.77/0.42 % (751704)Instruction limit reached!
% 0.77/0.42 % (751704)------------------------------
% 0.77/0.42 % (751704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.42 % (751704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.42 % (751704)CaDiCaL version: 2.1.3
% 0.77/0.42 % (751704)Termination reason: Instruction limit
% 0.77/0.42 % (751704)Termination phase: Saturation
% 0.77/0.42 % (751704)Time elapsed: 0.006 s
% 0.77/0.42 % (751704)Peak memory usage: 12 MB
% 0.77/0.42 % (751704)Instructions burned: 26 (million)
% 0.77/0.42 % (751686)Instruction limit reached!
% 0.77/0.42 % (751686)------------------------------
% 0.77/0.45 % (751686)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.45 % (751686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.45 % (751686)CaDiCaL version: 2.1.3
% 0.77/0.45 % (751686)Termination reason: Instruction limit
% 0.77/0.45 % (751686)Termination phase: Saturation
% 0.77/0.45 % (751686)Time elapsed: 0.044 s
% 0.77/0.45 % (751686)Peak memory usage: 12 MB
% 0.77/0.45 % (751686)Instructions burned: 86 (million)
% 0.77/0.45 % (751702)Instruction limit reached!
% 0.77/0.45 % (751702)------------------------------
% 0.77/0.45 % (751702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.45 % (751702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.45 % (751702)CaDiCaL version: 2.1.3
% 0.77/0.45 % (751702)Termination reason: Instruction limit
% 0.77/0.45 % (751702)Termination phase: Saturation
% 0.77/0.45 % (751702)Time elapsed: 0.014 s
% 0.77/0.45 % (751702)Peak memory usage: 12 MB
% 0.77/0.45 % (751702)Instructions burned: 27 (million)
% 0.77/0.45 % (751708)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=668162580:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.77/0.45 % (751713)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=1606151809:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.77/0.45 % (751711)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
% 0.77/0.45 % (751711)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.77/0.45 % (751712)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.77/0.45 % (751711)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=3935020908:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.77/0.45 % (751712)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=2409894861:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.77/0.45 % (751713)Instruction limit reached!
% 0.77/0.45 % (751713)------------------------------
% 0.77/0.45 % (751713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.45 % (751713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.45 % (751713)CaDiCaL version: 2.1.3
% 0.77/0.45 % (751713)Termination reason: Instruction limit
% 0.77/0.45 % (751713)Termination phase: Saturation
% 0.77/0.45 % (751713)Time elapsed: 0.009 s
% 0.77/0.45 % (751713)Peak memory usage: 12 MB
% 0.77/0.45 % (751713)Instructions burned: 35 (million)
% 0.77/0.45 % (751712)Instruction limit reached!
% 0.77/0.45 % (751712)------------------------------
% 0.77/0.45 % (751712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.45 % (751712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.45 % (751712)CaDiCaL version: 2.1.3
% 0.77/0.45 % (751712)Termination reason: Instruction limit
% 0.77/0.45 % (751712)Termination phase: Saturation
% 0.77/0.45 % (751712)Time elapsed: 0.005 s
% 0.77/0.45 % (751712)Peak memory usage: 12 MB
% 0.77/0.45 % (751712)Instructions burned: 8 (million)
% 0.77/0.45 % (751714)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=590187758:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.77/0.45 % (751715)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4228943350:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.77/0.45 % (751711)Instruction limit reached!
% 0.77/0.45 % (751711)------------------------------
% 0.77/0.45 % (751711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.77/0.45 % (751711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.45 % (751711)CaDiCaL version: 2.1.3
% 0.77/0.45 % (751711)Termination reason: Instruction limit
% 0.77/0.45 % (751711)Termination phase: Saturation
% 0.77/0.45 % (751711)Time elapsed: 0.009 s
% 1.50/0.49 % (751711)Peak memory usage: 12 MB
% 1.50/0.49 % (751711)Instructions burned: 15 (million)
% 1.50/0.49 % (751720)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1364759463:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.50/0.49 % (751714)Instruction limit reached!
% 1.50/0.49 % (751714)------------------------------
% 1.50/0.49 % (751714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.49 % (751714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.49 % (751714)CaDiCaL version: 2.1.3
% 1.50/0.49 % (751714)Termination reason: Instruction limit
% 1.50/0.49 % (751714)Termination phase: Saturation
% 1.50/0.49 % (751714)Time elapsed: 0.004 s
% 1.50/0.49 % (751714)Peak memory usage: 12 MB
% 1.50/0.49 % (751714)Instructions burned: 7 (million)
% 1.50/0.49 % (751708)Instruction limit reached!
% 1.50/0.49 % (751708)------------------------------
% 1.50/0.49 % (751708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.49 % (751708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.49 % (751708)CaDiCaL version: 2.1.3
% 1.50/0.49 % (751708)Termination reason: Instruction limit
% 1.50/0.49 % (751708)Termination phase: Saturation
% 1.50/0.49 % (751708)Time elapsed: 0.024 s
% 1.50/0.49 % (751708)Peak memory usage: 12 MB
% 1.50/0.49 % (751708)Instructions burned: 63 (million)
% 1.50/0.49 % (751715)Instruction limit reached!
% 1.50/0.49 % (751715)------------------------------
% 1.50/0.49 % (751715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.49 % (751715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.49 % (751715)CaDiCaL version: 2.1.3
% 1.50/0.49 % (751715)Termination reason: Instruction limit
% 1.50/0.49 % (751715)Termination phase: Saturation
% 1.50/0.49 % (751715)Time elapsed: 0.010 s
% 1.50/0.49 % (751715)Peak memory usage: 11 MB
% 1.50/0.49 % (751715)Instructions burned: 23 (million)
% 1.50/0.49 % (751720)Instruction limit reached!
% 1.50/0.49 % (751720)------------------------------
% 1.50/0.49 % (751720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.49 % (751720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.49 % (751720)CaDiCaL version: 2.1.3
% 1.50/0.49 % (751720)Termination reason: Instruction limit
% 1.50/0.49 % (751720)Termination phase: Saturation
% 1.50/0.49 % (751720)Time elapsed: 0.006 s
% 1.50/0.49 % (751720)Peak memory usage: 12 MB
% 1.50/0.49 % (751720)Instructions burned: 23 (million)
% 1.50/0.49 % (751721)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=942106077:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.50/0.49 % (751724)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=408398554:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.50/0.49 % (751729)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=4219276372:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.50/0.49 % (751729)Refutation not found, incomplete strategy
% 1.50/0.49 % (751729)------------------------------
% 1.50/0.49 % (751729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.49 % (751729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.50 % (751729)CaDiCaL version: 2.1.3
% 1.50/0.50 % (751729)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.50 % (751729)Time elapsed: 0.0000 s
% 1.50/0.50 % (751729)Peak memory usage: 11 MB
% 1.50/0.50 % (751729)------------------------------
% 1.50/0.50 % (751729)------------------------------
% 1.50/0.50 % (751726)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1632753053:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.50/0.50 % (751726)Refutation not found, incomplete strategy
% 1.50/0.50 % (751726)------------------------------
% 1.50/0.50 % (751726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.50 % (751726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.50 % (751726)CaDiCaL version: 2.1.3
% 1.50/0.50 % (751726)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.50 % (751726)Time elapsed: 0.001 s
% 1.50/0.50 % (751726)Peak memory usage: 11 MB
% 1.50/0.50 % (751726)------------------------------
% 1.50/0.50 % (751726)------------------------------
% 1.50/0.50 % (751728)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.50/0.56 % (751727)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2397296270:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.50/0.56 % (751728)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2523744984:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.50/0.56 % (751733)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=2963983328: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)
% 1.50/0.56 % (751733)Refutation not found, incomplete strategy
% 1.50/0.56 % (751733)------------------------------
% 1.50/0.56 % (751733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.56 % (751733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.56 % (751733)CaDiCaL version: 2.1.3
% 1.50/0.56 % (751733)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.56 % (751733)Time elapsed: 0.0000 s
% 1.50/0.56 % (751733)Peak memory usage: 11 MB
% 1.50/0.56 % (751733)------------------------------
% 1.50/0.56 % (751733)------------------------------
% 1.50/0.56 % (751728)Instruction limit reached!
% 1.50/0.56 % (751728)------------------------------
% 1.50/0.56 % (751728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.56 % (751728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.56 % (751728)CaDiCaL version: 2.1.3
% 1.50/0.56 % (751728)Termination reason: Instruction limit
% 1.50/0.56 % (751728)Termination phase: Saturation
% 1.50/0.56 % (751728)Time elapsed: 0.004 s
% 1.50/0.56 % (751728)Peak memory usage: 12 MB
% 1.50/0.56 % (751728)Instructions burned: 7 (million)
% 1.50/0.56 % (751735)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.50/0.56 % (751735)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=4099977204:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.50/0.56 % (751739)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3704623448:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.50/0.56 % (751735)Refutation not found, incomplete strategy
% 1.50/0.56 % (751735)------------------------------
% 1.50/0.56 % (751735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.56 % (751735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.56 % (751735)CaDiCaL version: 2.1.3
% 1.50/0.56 % (751735)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.56 % (751735)Time elapsed: 0.001 s
% 1.50/0.56 % (751735)Peak memory usage: 11 MB
% 1.50/0.56 % (751735)Instructions burned: 1 (million)
% 1.50/0.56 % (751735)------------------------------
% 1.50/0.56 % (751735)------------------------------
% 1.50/0.56 % (751727)Instruction limit reached!
% 1.50/0.56 % (751727)------------------------------
% 1.50/0.56 % (751727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.56 % (751727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.56 % (751727)CaDiCaL version: 2.1.3
% 1.50/0.56 % (751727)Termination reason: Instruction limit
% 1.50/0.56 % (751727)Termination phase: Saturation
% 1.50/0.56 % (751727)Time elapsed: 0.020 s
% 1.50/0.56 % (751727)Peak memory usage: 12 MB
% 1.50/0.56 % (751727)Instructions burned: 43 (million)
% 1.50/0.56 % (751739)Instruction limit reached!
% 1.50/0.56 % (751739)------------------------------
% 1.50/0.56 % (751739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.50/0.56 % (751739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.50/0.56 % (751739)CaDiCaL version: 2.1.3
% 1.50/0.56 % (751739)Termination reason: Instruction limit
% 1.50/0.56 % (751739)Termination phase: Saturation
% 1.50/0.56 % (751739)Time elapsed: 0.006 s
% 1.50/0.56 % (751739)Peak memory usage: 12 MB
% 1.50/0.56 % (751739)Instructions burned: 23 (million)
% 1.50/0.56 % (751740)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3009348687:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 2.21/0.60 % (751740)Refutation not found, incomplete strategy
% 2.21/0.60 % (751740)------------------------------
% 2.21/0.60 % (751740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.60 % (751740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.60 % (751740)CaDiCaL version: 2.1.3
% 2.21/0.60 % (751740)Termination reason: Refutation not found, incomplete strategy
% 2.21/0.60 % (751740)Time elapsed: 0.002 s
% 2.21/0.60 % (751740)Peak memory usage: 12 MB
% 2.21/0.60 % (751740)Instructions burned: 2 (million)
% 2.21/0.60 % (751740)------------------------------
% 2.21/0.60 % (751740)------------------------------
% 2.21/0.60 % (751745)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=92270511:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2998 on theBenchmark for (2998ds/45Mi)
% 2.21/0.60 % (751743)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=3446745083:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 2.21/0.60 % (751744)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=2254396107: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)
% 2.21/0.60 % (751745)Instruction limit reached!
% 2.21/0.60 % (751745)------------------------------
% 2.21/0.60 % (751745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.60 % (751745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.60 % (751745)CaDiCaL version: 2.1.3
% 2.21/0.60 % (751745)Termination reason: Instruction limit
% 2.21/0.60 % (751745)Termination phase: Saturation
% 2.21/0.60 % (751745)Time elapsed: 0.014 s
% 2.21/0.60 % (751745)Peak memory usage: 12 MB
% 2.21/0.60 % (751745)Instructions burned: 46 (million)
% 2.21/0.60 % (751747)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=103625116:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.21/0.60 % (751747)Refutation not found, incomplete strategy
% 2.21/0.60 % (751747)------------------------------
% 2.21/0.60 % (751747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.60 % (751747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.60 % (751747)CaDiCaL version: 2.1.3
% 2.21/0.60 % (751747)Termination reason: Refutation not found, incomplete strategy
% 2.21/0.60 % (751747)Time elapsed: 0.001 s
% 2.21/0.60 % (751747)Peak memory usage: 12 MB
% 2.21/0.60 % (751747)Instructions burned: 1 (million)
% 2.21/0.60 % (751747)------------------------------
% 2.21/0.60 % (751747)------------------------------
% 2.21/0.60 % (751724)Instruction limit reached!
% 2.21/0.60 % (751724)------------------------------
% 2.21/0.60 % (751724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.60 % (751724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.60 % (751724)CaDiCaL version: 2.1.3
% 2.21/0.60 % (751724)Termination reason: Instruction limit
% 2.21/0.60 % (751724)Termination phase: Saturation
% 2.21/0.60 % (751724)Time elapsed: 0.059 s
% 2.21/0.60 % (751724)Peak memory usage: 12 MB
% 2.21/0.60 % (751724)Instructions burned: 145 (million)
% 2.21/0.60 % (751751)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1355632944: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)
% 2.21/0.60 % (751751)Instruction limit reached!
% 2.21/0.60 % (751751)------------------------------
% 2.21/0.60 % (751751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.21/0.60 % (751751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.21/0.60 % (751751)CaDiCaL version: 2.1.3
% 2.21/0.60 % (751751)Termination reason: Instruction limit
% 2.21/0.60 % (751751)Termination phase: Saturation
% 2.21/0.60 % (751751)Time elapsed: 0.006 s
% 2.21/0.60 % (751751)Peak memory usage: 12 MB
% 2.21/0.60 % (751751)Instructions burned: 22 (million)
% 2.21/0.60 % (751753)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.21/0.60 % (751753)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1582203075:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.68/0.63 % (751754)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3581191352:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.68/0.63 % (751756)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=1286778985:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.68/0.63 % (751754)Instruction limit reached!
% 2.68/0.63 % (751754)------------------------------
% 2.68/0.63 % (751754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.63 % (751754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.63 % (751754)CaDiCaL version: 2.1.3
% 2.68/0.63 % (751754)Termination reason: Instruction limit
% 2.68/0.63 % (751754)Termination phase: Saturation
% 2.68/0.63 % (751754)Time elapsed: 0.007 s
% 2.68/0.63 % (751754)Peak memory usage: 12 MB
% 2.68/0.63 % (751754)Instructions burned: 13 (million)
% 2.68/0.63 % (751665)Instruction limit reached!
% 2.68/0.63 % (751665)------------------------------
% 2.68/0.63 % (751665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.63 % (751665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.63 % (751665)CaDiCaL version: 2.1.3
% 2.68/0.63 % (751665)Termination reason: Instruction limit
% 2.68/0.63 % (751665)Termination phase: Saturation
% 2.68/0.63 % (751665)Time elapsed: 0.233 s
% 2.68/0.63 % (751665)Peak memory usage: 13 MB
% 2.68/0.63 % (751665)Instructions burned: 634 (million)
% 2.68/0.63 % (751756)Instruction limit reached!
% 2.68/0.63 % (751756)------------------------------
% 2.68/0.63 % (751756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.63 % (751756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.63 % (751756)CaDiCaL version: 2.1.3
% 2.68/0.63 % (751756)Termination reason: Instruction limit
% 2.68/0.63 % (751756)Termination phase: Saturation
% 2.68/0.63 % (751756)Time elapsed: 0.017 s
% 2.68/0.63 % (751756)Peak memory usage: 12 MB
% 2.68/0.63 % (751756)Instructions burned: 70 (million)
% 2.68/0.63 % (751760)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3432155649:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.68/0.63 % (751760)Refutation not found, incomplete strategy
% 2.68/0.63 % (751760)------------------------------
% 2.68/0.63 % (751760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.63 % (751760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.63 % (751760)CaDiCaL version: 2.1.3
% 2.68/0.63 % (751760)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.63 % (751760)Time elapsed: 0.001 s
% 2.68/0.63 % (751760)Peak memory usage: 11 MB
% 2.68/0.63 % (751760)Instructions burned: 1 (million)
% 2.68/0.63 % (751760)------------------------------
% 2.68/0.63 % (751760)------------------------------
% 2.68/0.63 % (751762)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3599428716:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 2.68/0.63 % (751761)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2858203737:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.68/0.63 % (751764)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=1917230487:cond=on:i=34:hud=10:nm=10:rtra=on_2997 on theBenchmark for (2997ds/34Mi)
% 2.68/0.63 % (751761)Instruction limit reached!
% 2.68/0.63 % (751761)------------------------------
% 2.68/0.63 % (751761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.63 % (751761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.63 % (751761)CaDiCaL version: 2.1.3
% 2.68/0.63 % (751761)Termination reason: Instruction limit
% 2.68/0.63 % (751761)Termination phase: Saturation
% 2.68/0.63 % (751761)Time elapsed: 0.017 s
% 2.68/0.63 % (751761)Peak memory usage: 12 MB
% 2.68/0.63 % (751761)Instructions burned: 32 (million)
% 2.68/0.63 % (751762)Instruction limit reached!
% 2.68/0.63 % (751762)------------------------------
% 2.68/0.63 % (751762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.63 % (751762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.69 % (751762)CaDiCaL version: 2.1.3
% 2.68/0.69 % (751762)Termination reason: Instruction limit
% 2.68/0.69 % (751762)Termination phase: Saturation
% 2.68/0.69 % (751762)Time elapsed: 0.027 s
% 2.68/0.69 % (751762)Peak memory usage: 12 MB
% 2.68/0.69 % (751762)Instructions burned: 139 (million)
% 2.68/0.69 % (751764)Instruction limit reached!
% 2.68/0.69 % (751764)------------------------------
% 2.68/0.69 % (751764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.69 % (751764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.69 % (751764)CaDiCaL version: 2.1.3
% 2.68/0.69 % (751764)Termination reason: Instruction limit
% 2.68/0.69 % (751764)Termination phase: Saturation
% 2.68/0.69 % (751764)Time elapsed: 0.019 s
% 2.68/0.69 % (751764)Peak memory usage: 12 MB
% 2.68/0.69 % (751764)Instructions burned: 36 (million)
% 2.68/0.69 % (751769)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.68/0.69 % (751769)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1861831130:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 2.68/0.69 % (751768)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3260044721:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/67Mi)
% 2.68/0.69 % (751768)Refutation not found, incomplete strategy
% 2.68/0.69 % (751768)------------------------------
% 2.68/0.69 % (751768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.69 % (751768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.69 % (751768)CaDiCaL version: 2.1.3
% 2.68/0.69 % (751768)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.69 % (751768)Time elapsed: 0.001 s
% 2.68/0.69 % (751768)Peak memory usage: 12 MB
% 2.68/0.69 % (751768)Instructions burned: 1 (million)
% 2.68/0.69 % (751753)Instruction limit reached!
% 2.68/0.69 % (751753)------------------------------
% 2.68/0.69 % (751753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.69 % (751768)------------------------------
% 2.68/0.69 % (751768)------------------------------
% 2.68/0.69 % (751753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.69 % (751753)CaDiCaL version: 2.1.3
% 2.68/0.69 % (751753)Termination reason: Instruction limit
% 2.68/0.69 % (751753)Termination phase: Saturation
% 2.68/0.69 % (751753)Time elapsed: 0.076 s
% 2.68/0.69 % (751753)Peak memory usage: 11 MB
% 2.68/0.69 % (751753)Instructions burned: 200 (million)
% 2.68/0.69 % (751770)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=4096930951:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 2.68/0.69 % (751770)Refutation not found, incomplete strategy
% 2.68/0.69 % (751770)------------------------------
% 2.68/0.69 % (751770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.69 % (751770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.69 % (751770)CaDiCaL version: 2.1.3
% 2.68/0.69 % (751770)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.69 % (751770)Time elapsed: 0.001 s
% 2.68/0.69 % (751770)Peak memory usage: 11 MB
% 2.68/0.69 % (751770)------------------------------
% 2.68/0.69 % (751770)------------------------------
% 2.68/0.69 % (751774)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=26013920:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 2.68/0.69 % (751773)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2068042512:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 2.68/0.69 % (751774)Refutation not found, incomplete strategy
% 2.68/0.69 % (751774)------------------------------
% 2.68/0.69 % (751774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.69 % (751774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.69 % (751774)CaDiCaL version: 2.1.3
% 2.68/0.69 % (751774)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.69 % (751774)Time elapsed: 0.001 s
% 2.68/0.69 % (751774)Peak memory usage: 11 MB
% 2.68/0.69 % (751774)------------------------------
% 2.68/0.69 % (751774)------------------------------
% 2.68/0.69 % (751776)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=689385099:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/874Mi)
% 3.05/0.76 % (751776)Refutation not found, incomplete strategy
% 3.05/0.76 % (751776)------------------------------
% 3.05/0.76 % (751776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.76 % (751776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.76 % (751776)CaDiCaL version: 2.1.3
% 3.05/0.76 % (751776)Termination reason: Refutation not found, incomplete strategy
% 3.05/0.76 % (751776)Time elapsed: 0.001 s
% 3.05/0.76 % (751776)Peak memory usage: 11 MB
% 3.05/0.76 % (751776)------------------------------
% 3.05/0.76 % (751776)------------------------------
% 3.05/0.76 % (751769)Instruction limit reached!
% 3.05/0.76 % (751769)------------------------------
% 3.05/0.76 % (751769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.76 % (751769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.76 % (751769)CaDiCaL version: 2.1.3
% 3.05/0.76 % (751769)Termination reason: Instruction limit
% 3.05/0.76 % (751769)Termination phase: Saturation
% 3.05/0.76 % (751769)Time elapsed: 0.043 s
% 3.05/0.76 % (751769)Peak memory usage: 12 MB
% 3.05/0.76 % (751769)Instructions burned: 181 (million)
% 3.05/0.76 % (751779)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2589616707:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 3.05/0.76 % (751779)Refutation not found, incomplete strategy
% 3.05/0.76 % (751779)------------------------------
% 3.05/0.76 % (751779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.76 % (751779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.76 % (751779)CaDiCaL version: 2.1.3
% 3.05/0.76 % (751779)Termination reason: Refutation not found, incomplete strategy
% 3.05/0.76 % (751779)Time elapsed: 0.001 s
% 3.05/0.76 % (751779)Peak memory usage: 12 MB
% 3.05/0.76 % (751779)------------------------------
% 3.05/0.76 % (751779)------------------------------
% 3.05/0.76 % (751782)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1827998390:i=44:ep=R:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/44Mi)
% 3.05/0.76 % (751781)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1005091824:st=1.5:i=130:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/130Mi)
% 3.05/0.76 % (751781)Refutation not found, incomplete strategy
% 3.05/0.76 % (751781)------------------------------
% 3.05/0.76 % (751781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.76 % (751781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.76 % (751781)CaDiCaL version: 2.1.3
% 3.05/0.76 % (751781)Termination reason: Refutation not found, incomplete strategy
% 3.05/0.76 % (751781)Time elapsed: 0.001 s
% 3.05/0.76 % (751781)Peak memory usage: 11 MB
% 3.05/0.76 % (751781)Instructions burned: 1 (million)
% 3.05/0.76 % (751781)------------------------------
% 3.05/0.76 % (751781)------------------------------
% 3.05/0.76 % (751743)Instruction limit reached!
% 3.05/0.76 % (751743)------------------------------
% 3.05/0.76 % (751743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.76 % (751743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.76 % (751743)CaDiCaL version: 2.1.3
% 3.05/0.76 % (751743)Termination reason: Instruction limit
% 3.05/0.76 % (751743)Termination phase: Saturation
% 3.05/0.76 % (751743)Time elapsed: 0.164 s
% 3.05/0.76 % (751743)Peak memory usage: 14 MB
% 3.05/0.76 % (751743)Instructions burned: 317 (million)
% 3.05/0.76 % (751782)Instruction limit reached!
% 3.05/0.76 % (751782)------------------------------
% 3.05/0.76 % (751782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.76 % (751782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.05/0.76 % (751782)CaDiCaL version: 2.1.3
% 3.05/0.76 % (751782)Termination reason: Instruction limit
% 3.05/0.76 % (751782)Termination phase: Saturation
% 3.05/0.76 % (751782)Time elapsed: 0.012 s
% 3.05/0.76 % (751782)Peak memory usage: 12 MB
% 3.05/0.76 % (751782)Instructions burned: 45 (million)
% 3.05/0.76 % (751784)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2062879789:s2a=on:i=571:nm=16:rtra=on_2996 on theBenchmark for (2996ds/571Mi)
% 3.05/0.76 % (751784)Refutation not found, incomplete strategy
% 3.05/0.76 % (751784)------------------------------
% 3.05/0.76 % (751784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.05/0.76 % (751784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/0.83 % (751784)CaDiCaL version: 2.1.3
% 3.82/0.83 % (751784)Termination reason: Refutation not found, incomplete strategy
% 3.82/0.83 % (751784)Time elapsed: 0.001 s
% 3.82/0.83 % (751784)Peak memory usage: 12 MB
% 3.82/0.83 % (751784)Instructions burned: 1 (million)
% 3.82/0.83 % (751784)------------------------------
% 3.82/0.83 % (751784)------------------------------
% 3.82/0.83 % (751773)Instruction limit reached!
% 3.82/0.83 % (751773)------------------------------
% 3.82/0.83 % (751773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.82/0.83 % (751773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/0.83 % (751773)CaDiCaL version: 2.1.3
% 3.82/0.83 % (751773)Termination reason: Instruction limit
% 3.82/0.83 % (751773)Termination phase: Saturation
% 3.82/0.83 % (751773)Time elapsed: 0.045 s
% 3.82/0.83 % (751773)Peak memory usage: 12 MB
% 3.82/0.83 % (751773)Instructions burned: 98 (million)
% 3.82/0.83 % (751789)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=1659575551:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2996 on theBenchmark for (2996ds/65Mi)
% 3.82/0.83 % (751787)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=513022258:i=450:rtra=on:ixr=off:ntd=on_2996 on theBenchmark for (2996ds/450Mi)
% 3.82/0.83 % (751788)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3067912142:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/95Mi)
% 3.82/0.83 % (751791)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=531300359: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)
% 3.82/0.83 % (751792)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=3807540204: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)
% 3.82/0.83 % (751792)Refutation not found, incomplete strategy
% 3.82/0.83 % (751792)------------------------------
% 3.82/0.83 % (751792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.82/0.83 % (751792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/0.83 % (751792)CaDiCaL version: 2.1.3
% 3.82/0.83 % (751792)Termination reason: Refutation not found, incomplete strategy
% 3.82/0.83 % (751792)Time elapsed: 0.001 s
% 3.82/0.83 % (751792)Peak memory usage: 12 MB
% 3.82/0.83 % (751792)------------------------------
% 3.82/0.83 % (751792)------------------------------
% 3.82/0.83 % (751789)Instruction limit reached!
% 3.82/0.83 % (751789)------------------------------
% 3.82/0.83 % (751789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.82/0.83 % (751789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/0.83 % (751789)CaDiCaL version: 2.1.3
% 3.82/0.83 % (751789)Termination reason: Instruction limit
% 3.82/0.83 % (751789)Termination phase: Saturation
% 3.82/0.83 % (751789)Time elapsed: 0.017 s
% 3.82/0.83 % (751789)Peak memory usage: 13 MB
% 3.82/0.83 % (751789)Instructions burned: 68 (million)
% 3.82/0.83 % (751799)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=422359836:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/495Mi)
% 3.82/0.83 % (751798)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1882985228:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/375Mi)
% 3.82/0.83 % (751798)Refutation not found, incomplete strategy
% 3.82/0.83 % (751798)------------------------------
% 3.82/0.83 % (751798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.82/0.83 % (751798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.82/0.83 % (751798)CaDiCaL version: 2.1.3
% 3.82/0.83 % (751798)Termination reason: Refutation not found, incomplete strategy
% 3.82/0.83 % (751798)Time elapsed: 0.0000 s
% 3.82/0.83 % (751798)Peak memory usage: 11 MB
% 3.82/0.83 % (751798)------------------------------
% 3.82/0.83 % (751798)------------------------------
% 3.82/0.83 % (751788)Instruction limit reached!
% 4.10/0.90 % (751788)------------------------------
% 4.10/0.90 % (751788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.90 % (751788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.90 % (751788)CaDiCaL version: 2.1.3
% 4.10/0.90 % (751788)Termination reason: Instruction limit
% 4.10/0.90 % (751788)Termination phase: Saturation
% 4.10/0.90 % (751788)Time elapsed: 0.042 s
% 4.10/0.90 % (751788)Peak memory usage: 12 MB
% 4.10/0.90 % (751788)Instructions burned: 96 (million)
% 4.10/0.90 % (751802)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=2046010499:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 4.10/0.90 % (751803)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1254199912:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/91Mi)
% 4.10/0.90 % (751791)Instruction limit reached!
% 4.10/0.90 % (751791)------------------------------
% 4.10/0.90 % (751791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.90 % (751791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.90 % (751791)CaDiCaL version: 2.1.3
% 4.10/0.90 % (751791)Termination reason: Instruction limit
% 4.10/0.90 % (751791)Termination phase: Saturation
% 4.10/0.90 % (751791)Time elapsed: 0.057 s
% 4.10/0.90 % (751791)Peak memory usage: 12 MB
% 4.10/0.90 % (751791)Instructions burned: 106 (million)
% 4.10/0.90 % (751802)Instruction limit reached!
% 4.10/0.90 % (751802)------------------------------
% 4.10/0.90 % (751802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.90 % (751802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.90 % (751802)CaDiCaL version: 2.1.3
% 4.10/0.90 % (751802)Termination reason: Instruction limit
% 4.10/0.90 % (751802)Termination phase: Saturation
% 4.10/0.90 % (751802)Time elapsed: 0.018 s
% 4.10/0.90 % (751802)Peak memory usage: 12 MB
% 4.10/0.90 % (751802)Instructions burned: 35 (million)
% 4.10/0.90 % (751806)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=357890600:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2995 on theBenchmark for (2995ds/66Mi)
% 4.10/0.90 % (751806)Refutation not found, incomplete strategy
% 4.10/0.90 % (751806)------------------------------
% 4.10/0.90 % (751806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.90 % (751806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.90 % (751806)CaDiCaL version: 2.1.3
% 4.10/0.90 % (751806)Termination reason: Refutation not found, incomplete strategy
% 4.10/0.90 % (751806)Time elapsed: 0.001 s
% 4.10/0.90 % (751806)Peak memory usage: 11 MB
% 4.10/0.90 % (751806)------------------------------
% 4.10/0.90 % (751806)------------------------------
% 4.10/0.90 % (751807)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=322271895:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 4.10/0.90 % (751807)Instruction limit reached!
% 4.10/0.90 % (751807)------------------------------
% 4.10/0.90 % (751807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.90 % (751807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.90 % (751807)CaDiCaL version: 2.1.3
% 4.10/0.90 % (751807)Termination reason: Instruction limit
% 4.10/0.90 % (751807)Termination phase: Saturation
% 4.10/0.90 % (751807)Time elapsed: 0.011 s
% 4.10/0.90 % (751807)Peak memory usage: 12 MB
% 4.10/0.90 % (751807)Instructions burned: 22 (million)
% 4.10/0.90 % (751803)Instruction limit reached!
% 4.10/0.90 % (751803)------------------------------
% 4.10/0.90 % (751803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.90 % (751803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.90 % (751803)CaDiCaL version: 2.1.3
% 4.10/0.90 % (751803)Termination reason: Instruction limit
% 4.10/0.90 % (751803)Termination phase: Saturation
% 4.10/0.90 % (751803)Time elapsed: 0.039 s
% 4.10/0.90 % (751803)Peak memory usage: 12 MB
% 4.10/0.90 % (751803)Instructions burned: 92 (million)
% 4.10/0.90 % (751809)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=898075619:i=338:bd=all:ins=4:rtra=on_2995 on theBenchmark for (2995ds/338Mi)
% 4.10/0.90 % (751812)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 4.10/0.96 % (751811)lrs+10_1_sil=128000:si=on:urr=on:random_seed=537942643:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2995 on theBenchmark for (2995ds/28Mi)
% 4.10/0.96 % (751812)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3669995756: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)
% 4.10/0.96 % (751811)Refutation not found, incomplete strategy
% 4.10/0.96 % (751811)------------------------------
% 4.10/0.96 % (751811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.96 % (751811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.96 % (751811)CaDiCaL version: 2.1.3
% 4.10/0.96 % (751811)Termination reason: Refutation not found, incomplete strategy
% 4.10/0.96 % (751811)Time elapsed: 0.001 s
% 4.10/0.96 % (751811)Peak memory usage: 11 MB
% 4.10/0.96 % (751811)------------------------------
% 4.10/0.96 % (751811)------------------------------
% 4.10/0.96 % (751816)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=3810165345:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2994 on theBenchmark for (2994ds/340Mi)
% 4.10/0.96 % (751799)Instruction limit reached!
% 4.10/0.96 % (751799)------------------------------
% 4.10/0.96 % (751799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.96 % (751799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.96 % (751799)CaDiCaL version: 2.1.3
% 4.10/0.96 % (751799)Termination reason: Instruction limit
% 4.10/0.96 % (751799)Termination phase: Saturation
% 4.10/0.96 % (751799)Time elapsed: 0.119 s
% 4.10/0.96 % (751799)Peak memory usage: 13 MB
% 4.10/0.96 % (751799)Instructions burned: 497 (million)
% 4.10/0.96 % (751787)Instruction limit reached!
% 4.10/0.96 % (751787)------------------------------
% 4.10/0.96 % (751787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.96 % (751787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.96 % (751787)CaDiCaL version: 2.1.3
% 4.10/0.96 % (751787)Termination reason: Instruction limit
% 4.10/0.96 % (751787)Termination phase: Saturation
% 4.10/0.96 % (751787)Time elapsed: 0.154 s
% 4.10/0.96 % (751787)Peak memory usage: 12 MB
% 4.10/0.96 % (751787)Instructions burned: 451 (million)
% 4.10/0.96 % (751818)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=788407422:i=227:sd=1:bd=all:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/227Mi)
% 4.10/0.96 % (751818)Refutation not found, incomplete strategy
% 4.10/0.96 % (751818)------------------------------
% 4.10/0.96 % (751818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.96 % (751818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.96 % (751818)CaDiCaL version: 2.1.3
% 4.10/0.96 % (751818)Termination reason: Refutation not found, incomplete strategy
% 4.10/0.96 % (751818)Time elapsed: 0.0000 s
% 4.10/0.96 % (751818)Peak memory usage: 11 MB
% 4.10/0.96 % (751818)------------------------------
% 4.10/0.96 % (751818)------------------------------
% 4.10/0.96 % (751744)Instruction limit reached!
% 4.10/0.96 % (751744)------------------------------
% 4.10/0.96 % (751744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.96 % (751744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.96 % (751744)CaDiCaL version: 2.1.3
% 4.10/0.96 % (751744)Termination reason: Instruction limit
% 4.10/0.96 % (751744)Termination phase: Saturation
% 4.10/0.96 % (751744)Time elapsed: 0.346 s
% 4.10/0.96 % (751744)Peak memory usage: 13 MB
% 4.10/0.96 % (751744)Instructions burned: 853 (million)
% 4.10/0.96 % (751821)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2306731950:i=116:ep=RSTC:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/116Mi)
% 4.10/0.96 % (751819)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 4.10/0.96 % (751819)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3069067878:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/373Mi)
% 4.10/0.96 % (751823)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=4139025679:i=575:rtra=on_2994 on theBenchmark for (2994ds/575Mi)
% 4.10/0.99 % (751812)Instruction limit reached!
% 4.10/0.99 % (751812)------------------------------
% 4.10/0.99 % (751812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.99 % (751812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.99 % (751812)CaDiCaL version: 2.1.3
% 4.10/0.99 % (751812)Termination reason: Instruction limit
% 4.10/0.99 % (751812)Termination phase: Saturation
% 4.10/0.99 % (751812)Time elapsed: 0.064 s
% 4.10/0.99 % (751812)Peak memory usage: 12 MB
% 4.10/0.99 % (751812)Instructions burned: 138 (million)
% 4.10/0.99 % (751823)Refutation not found, incomplete strategy
% 4.10/0.99 % (751823)------------------------------
% 4.10/0.99 % (751823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.99 % (751823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.99 % (751823)CaDiCaL version: 2.1.3
% 4.10/0.99 % (751823)Termination reason: Refutation not found, incomplete strategy
% 4.10/0.99 % (751823)Time elapsed: 0.001 s
% 4.10/0.99 % (751823)Peak memory usage: 11 MB
% 4.10/0.99 % (751823)Instructions burned: 1 (million)
% 4.10/0.99 % (751823)------------------------------
% 4.10/0.99 % (751823)------------------------------
% 4.10/0.99 % (751821)Instruction limit reached!
% 4.10/0.99 % (751821)------------------------------
% 4.10/0.99 % (751821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.99 % (751821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.99 % (751821)CaDiCaL version: 2.1.3
% 4.10/0.99 % (751821)Termination reason: Instruction limit
% 4.10/0.99 % (751821)Termination phase: Saturation
% 4.10/0.99 % (751821)Time elapsed: 0.027 s
% 4.10/0.99 % (751821)Peak memory usage: 12 MB
% 4.10/0.99 % (751821)Instructions burned: 120 (million)
% 4.10/0.99 % (751828)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=538010569:i=421:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/421Mi)
% 4.10/0.99 % (751826)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3747561920:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2994 on theBenchmark for (2994ds/270Mi)
% 4.10/0.99 % (751828)Refutation not found, incomplete strategy
% 4.10/0.99 % (751828)------------------------------
% 4.10/0.99 % (751828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.99 % (751828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.99 % (751828)CaDiCaL version: 2.1.3
% 4.10/0.99 % (751828)Termination reason: Refutation not found, incomplete strategy
% 4.10/0.99 % (751828)Time elapsed: 0.0000 s
% 4.10/0.99 % (751828)Peak memory usage: 11 MB
% 4.10/0.99 % (751828)------------------------------
% 4.10/0.99 % (751828)------------------------------
% 4.10/0.99 % (751827)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=487823368:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2994 on theBenchmark for (2994ds/9840Mi)
% 4.10/0.99 % (751832)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
% 4.10/0.99 % (751832)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=562243326:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/270Mi)
% 4.10/0.99 % (751809)Instruction limit reached!
% 4.10/0.99 % (751809)------------------------------
% 4.10/0.99 % (751809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.99 % (751809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/0.99 % (751809)CaDiCaL version: 2.1.3
% 4.10/0.99 % (751809)Termination reason: Instruction limit
% 4.10/0.99 % (751809)Termination phase: Saturation
% 4.10/0.99 % (751809)Time elapsed: 0.148 s
% 4.10/0.99 % (751809)Peak memory usage: 14 MB
% 4.10/0.99 % (751809)Instructions burned: 340 (million)
% 4.10/0.99 % (751721)Instruction limit reached!
% 4.10/0.99 % (751721)------------------------------
% 4.10/0.99 % (751721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.10/0.99 % (751721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.04 % (751721)CaDiCaL version: 2.1.3
% 5.49/1.04 % (751721)Termination reason: Instruction limit
% 5.49/1.04 % (751721)Termination phase: Saturation
% 5.49/1.04 % (751721)Time elapsed: 0.486 s
% 5.49/1.04 % (751721)Peak memory usage: 13 MB
% 5.49/1.04 % (751721)Instructions burned: 1241 (million)
% 5.49/1.04 % (751834)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2790008922:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 5.49/1.04 % (751835)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.49/1.04 % (751835)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.49/1.04 % (751835)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=3701635119:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2993 on theBenchmark for (2993ds/1440Mi)
% 5.49/1.04 % (751834)Instruction limit reached!
% 5.49/1.04 % (751834)------------------------------
% 5.49/1.04 % (751834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.49/1.04 % (751834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.04 % (751834)CaDiCaL version: 2.1.3
% 5.49/1.04 % (751834)Termination reason: Instruction limit
% 5.49/1.04 % (751834)Termination phase: Saturation
% 5.49/1.04 % (751834)Time elapsed: 0.009 s
% 5.49/1.04 % (751834)Peak memory usage: 12 MB
% 5.49/1.04 % (751834)Instructions burned: 35 (million)
% 5.49/1.04 % (751838)dis+10_2_sil=128000:si=on:random_seed=2195912656:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2993 on theBenchmark for (2993ds/339Mi)
% 5.49/1.04 % (751838)Refutation not found, incomplete strategy
% 5.49/1.04 % (751838)------------------------------
% 5.49/1.04 % (751838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.49/1.04 % (751838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.04 % (751838)CaDiCaL version: 2.1.3
% 5.49/1.04 % (751838)Termination reason: Refutation not found, incomplete strategy
% 5.49/1.04 % (751838)Time elapsed: 0.0000 s
% 5.49/1.04 % (751838)Peak memory usage: 11 MB
% 5.49/1.04 % (751838)------------------------------
% 5.49/1.04 % (751838)------------------------------
% 5.49/1.04 % (751816)Instruction limit reached!
% 5.49/1.04 % (751816)------------------------------
% 5.49/1.04 % (751816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.49/1.04 % (751816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.04 % (751816)CaDiCaL version: 2.1.3
% 5.49/1.04 % (751816)Termination reason: Instruction limit
% 5.49/1.04 % (751816)Termination phase: Saturation
% 5.49/1.04 % (751816)Time elapsed: 0.155 s
% 5.49/1.04 % (751816)Peak memory usage: 13 MB
% 5.49/1.04 % (751816)Instructions burned: 342 (million)
% 5.49/1.04 % (751840)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1291908950:i=111:add=on:fgj=on:rtra=on:fdi=1024_2993 on theBenchmark for (2993ds/111Mi)
% 5.49/1.04 % (751842)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=3461274808: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)
% 5.49/1.04 % (751842)Refutation not found, incomplete strategy
% 5.49/1.04 % (751842)------------------------------
% 5.49/1.04 % (751842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.49/1.04 % (751842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.04 % (751842)CaDiCaL version: 2.1.3
% 5.49/1.04 % (751842)Termination reason: Refutation not found, incomplete strategy
% 5.49/1.04 % (751842)Time elapsed: 0.001 s
% 5.49/1.04 % (751842)Peak memory usage: 11 MB
% 5.49/1.04 % (751842)------------------------------
% 5.49/1.04 % (751842)------------------------------
% 5.49/1.04 % (751826)Instruction limit reached!
% 5.49/1.04 % (751826)------------------------------
% 5.49/1.04 % (751826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.49/1.04 % (751826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.04 % (751826)CaDiCaL version: 2.1.3
% 5.49/1.04 % (751826)Termination reason: Instruction limit
% 5.49/1.04 % (751826)Termination phase: Saturation
% 6.20/1.14 % (751826)Time elapsed: 0.116 s
% 6.20/1.14 % (751826)Peak memory usage: 12 MB
% 6.20/1.14 % (751826)Instructions burned: 272 (million)
% 6.20/1.14 % (751840)Instruction limit reached!
% 6.20/1.14 % (751840)------------------------------
% 6.20/1.14 % (751840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.20/1.14 % (751840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.14 % (751840)CaDiCaL version: 2.1.3
% 6.20/1.14 % (751840)Termination reason: Instruction limit
% 6.20/1.14 % (751840)Termination phase: Saturation
% 6.20/1.14 % (751840)Time elapsed: 0.028 s
% 6.20/1.14 % (751840)Peak memory usage: 12 MB
% 6.20/1.14 % (751840)Instructions burned: 115 (million)
% 6.20/1.14 % (751832)Instruction limit reached!
% 6.20/1.14 % (751832)------------------------------
% 6.20/1.14 % (751832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.20/1.14 % (751832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.14 % (751832)CaDiCaL version: 2.1.3
% 6.20/1.14 % (751832)Termination reason: Instruction limit
% 6.20/1.14 % (751832)Termination phase: Saturation
% 6.20/1.14 % (751832)Time elapsed: 0.109 s
% 6.20/1.14 % (751832)Peak memory usage: 12 MB
% 6.20/1.14 % (751832)Instructions burned: 270 (million)
% 6.20/1.14 % (751844)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=3151178904:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/136Mi)
% 6.20/1.14 % (751846)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=2626938573:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/1254Mi)
% 6.20/1.14 % (751844)Refutation not found, incomplete strategy
% 6.20/1.14 % (751844)------------------------------
% 6.20/1.14 % (751844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.20/1.14 % (751844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.14 % (751844)CaDiCaL version: 2.1.3
% 6.20/1.14 % (751844)Termination reason: Refutation not found, incomplete strategy
% 6.20/1.14 % (751844)Time elapsed: 0.001 s
% 6.20/1.14 % (751844)Peak memory usage: 11 MB
% 6.20/1.14 % (751844)Instructions burned: 1 (million)
% 6.20/1.14 % (751846)Refutation not found, incomplete strategy
% 6.20/1.14 % (751846)------------------------------
% 6.20/1.14 % (751846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.20/1.14 % (751846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.14 % (751846)CaDiCaL version: 2.1.3
% 6.20/1.14 % (751846)Termination reason: Refutation not found, incomplete strategy
% 6.20/1.14 % (751846)Time elapsed: 0.001 s
% 6.20/1.14 % (751846)Peak memory usage: 11 MB
% 6.20/1.14 % (751846)Instructions burned: 2 (million)
% 6.20/1.14 % (751846)------------------------------
% 6.20/1.14 % (751846)------------------------------
% 6.20/1.14 % (751844)------------------------------
% 6.20/1.14 % (751844)------------------------------
% 6.20/1.14 % (751845)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3598426014:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/232Mi)
% 6.20/1.14 % (751845)Refutation not found, incomplete strategy
% 6.20/1.14 % (751845)------------------------------
% 6.20/1.14 % (751845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.20/1.14 % (751845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.20/1.14 % (751845)CaDiCaL version: 2.1.3
% 6.20/1.14 % (751845)Termination reason: Refutation not found, incomplete strategy
% 6.20/1.14 % (751845)Time elapsed: 0.0000 s
% 6.20/1.14 % (751845)Peak memory usage: 11 MB
% 6.20/1.14 % (751845)------------------------------
% 6.20/1.14 % (751845)------------------------------
% 6.20/1.14 % (751847)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.20/1.14 % (751850)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=975756476:i=619:add=on:rtra=on_2992 on theBenchmark for (2992ds/619Mi)
% 6.20/1.14 % (751819)Instruction limit reached!
% 6.20/1.14 % (751819)------------------------------
% 6.20/1.14 % (751819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.20/1.14 % (751819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.26 % (751819)CaDiCaL version: 2.1.3
% 6.61/1.26 % (751819)Termination reason: Instruction limit
% 6.61/1.26 % (751819)Termination phase: Saturation
% 6.61/1.26 % (751819)Time elapsed: 0.177 s
% 6.61/1.26 % (751819)Peak memory usage: 13 MB
% 6.61/1.26 % (751819)Instructions burned: 374 (million)
% 6.61/1.26 % (751850)Refutation not found, incomplete strategy
% 6.61/1.26 % (751850)------------------------------
% 6.61/1.26 % (751850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.26 % (751850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.26 % (751850)CaDiCaL version: 2.1.3
% 6.61/1.26 % (751850)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.26 % (751850)Time elapsed: 0.001 s
% 6.61/1.26 % (751850)Peak memory usage: 12 MB
% 6.61/1.26 % (751850)Instructions burned: 2 (million)
% 6.61/1.26 % (751850)------------------------------
% 6.61/1.26 % (751850)------------------------------
% 6.61/1.26 % (751847)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=575761659:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2992 on theBenchmark for (2992ds/281Mi)
% 6.61/1.26 % (751851)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=1905048971:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/865Mi)
% 6.61/1.26 % (751853)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2750487664:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/212Mi)
% 6.61/1.26 % (751853)Refutation not found, incomplete strategy
% 6.61/1.26 % (751853)------------------------------
% 6.61/1.26 % (751853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.26 % (751853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.26 % (751853)CaDiCaL version: 2.1.3
% 6.61/1.26 % (751853)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.26 % (751853)Time elapsed: 0.001 s
% 6.61/1.26 % (751853)Peak memory usage: 11 MB
% 6.61/1.26 % (751856)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1095944361:st=1.5:i=346:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/346Mi)
% 6.61/1.26 % (751856)Refutation not found, incomplete strategy
% 6.61/1.26 % (751856)------------------------------
% 6.61/1.26 % (751856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.26 % (751853)------------------------------
% 6.61/1.26 % (751853)------------------------------
% 6.61/1.26 % (751856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.26 % (751856)CaDiCaL version: 2.1.3
% 6.61/1.26 % (751856)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.26 % (751856)Time elapsed: 0.0000 s
% 6.61/1.26 % (751856)Peak memory usage: 11 MB
% 6.61/1.26 % (751856)Instructions burned: 1 (million)
% 6.61/1.26 % (751856)------------------------------
% 6.61/1.26 % (751856)------------------------------
% 6.61/1.26 % (751855)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3396795228:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 6.61/1.26 % (751855)Refutation not found, incomplete strategy
% 6.61/1.26 % (751855)------------------------------
% 6.61/1.26 % (751855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.26 % (751855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.26 % (751855)CaDiCaL version: 2.1.3
% 6.61/1.26 % (751855)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.26 % (751855)Time elapsed: 0.001 s
% 6.61/1.26 % (751855)Peak memory usage: 11 MB
% 6.61/1.26 % (751855)------------------------------
% 6.61/1.26 % (751855)------------------------------
% 6.61/1.26 % (751862)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3461005539:i=75:ep=R:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/75Mi)
% 6.61/1.26 % (751861)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=2623086543:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2992 on theBenchmark for (2992ds/152Mi)
% 6.61/1.26 % (751864)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=3948437126:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/387Mi)
% 6.61/1.26 % (751862)Instruction limit reached!
% 6.61/1.26 % (751862)------------------------------
% 6.61/1.26 % (751862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.46 % (751862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.46 % (751862)CaDiCaL version: 2.1.3
% 7.56/1.46 % (751862)Termination reason: Instruction limit
% 7.56/1.46 % (751862)Termination phase: Saturation
% 7.56/1.46 % (751862)Time elapsed: 0.019 s
% 7.56/1.46 % (751862)Peak memory usage: 12 MB
% 7.56/1.46 % (751862)Instructions burned: 77 (million)
% 7.56/1.46 % (751864)Refutation not found, incomplete strategy
% 7.56/1.46 % (751864)------------------------------
% 7.56/1.46 % (751864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.46 % (751864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.46 % (751864)CaDiCaL version: 2.1.3
% 7.56/1.46 % (751864)Termination reason: Refutation not found, incomplete strategy
% 7.56/1.46 % (751864)Time elapsed: 0.001 s
% 7.56/1.46 % (751864)Peak memory usage: 11 MB
% 7.56/1.46 % (751864)Instructions burned: 1 (million)
% 7.56/1.46 % (751864)------------------------------
% 7.56/1.46 % (751864)------------------------------
% 7.56/1.46 % (751868)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=4105347534:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2992 on theBenchmark for (2992ds/148Mi)
% 7.56/1.46 % (751869)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=513090003:i=161:piset=and:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/161Mi)
% 7.56/1.46 % (751868)Instruction limit reached!
% 7.56/1.46 % (751868)------------------------------
% 7.56/1.46 % (751868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.46 % (751868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.46 % (751868)CaDiCaL version: 2.1.3
% 7.56/1.46 % (751868)Termination reason: Instruction limit
% 7.56/1.46 % (751868)Termination phase: Saturation
% 7.56/1.46 % (751868)Time elapsed: 0.036 s
% 7.56/1.46 % (751868)Peak memory usage: 12 MB
% 7.56/1.46 % (751868)Instructions burned: 148 (million)
% 7.56/1.46 % (751872)lrs+10_1_sil=128000:si=on:random_seed=595333041:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/888Mi)
% 7.56/1.46 % (751872)Refutation not found, incomplete strategy
% 7.56/1.46 % (751872)------------------------------
% 7.56/1.46 % (751872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.46 % (751872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.46 % (751872)CaDiCaL version: 2.1.3
% 7.56/1.46 % (751872)Termination reason: Refutation not found, incomplete strategy
% 7.56/1.46 % (751872)Time elapsed: 0.0000 s
% 7.56/1.46 % (751872)Peak memory usage: 11 MB
% 7.56/1.46 % (751872)------------------------------
% 7.56/1.46 % (751872)------------------------------
% 7.56/1.46 % (751861)Instruction limit reached!
% 7.56/1.46 % (751861)------------------------------
% 7.56/1.46 % (751861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.46 % (751861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.46 % (751861)CaDiCaL version: 2.1.3
% 7.56/1.46 % (751861)Termination reason: Instruction limit
% 7.56/1.46 % (751861)Termination phase: Saturation
% 7.56/1.46 % (751861)Time elapsed: 0.073 s
% 7.56/1.46 % (751861)Peak memory usage: 13 MB
% 7.56/1.46 % (751861)Instructions burned: 152 (million)
% 7.56/1.46 % (751874)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=2021493024:i=136:add=on:ins=4:rtra=on:sup=off_2991 on theBenchmark for (2991ds/136Mi)
% 7.56/1.46 % (751875)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=3090506151:i=88:s2at=3:nm=2:rtra=on:rawr=on_2991 on theBenchmark for (2991ds/88Mi)
% 7.56/1.46 % (751869)Instruction limit reached!
% 7.56/1.46 % (751869)------------------------------
% 7.56/1.46 % (751869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.56/1.46 % (751869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.56/1.46 % (751869)CaDiCaL version: 2.1.3
% 7.56/1.46 % (751869)Termination reason: Instruction limit
% 7.56/1.46 % (751869)Termination phase: Saturation
% 7.56/1.46 % (751869)Time elapsed: 0.060 s
% 7.56/1.46 % (751869)Peak memory usage: 12 MB
% 7.56/1.46 % (751869)Instructions burned: 162 (million)
% 7.56/1.46 % (751878)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3470040640:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2991 on theBenchmark for (2991ds/93Mi)
% 8.64/1.60 % (751874)Instruction limit reached!
% 8.64/1.60 % (751874)------------------------------
% 8.64/1.60 % (751874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/1.60 % (751874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.60 % (751874)CaDiCaL version: 2.1.3
% 8.64/1.60 % (751874)Termination reason: Instruction limit
% 8.64/1.60 % (751874)Termination phase: Saturation
% 8.64/1.60 % (751874)Time elapsed: 0.034 s
% 8.64/1.60 % (751874)Peak memory usage: 12 MB
% 8.64/1.60 % (751874)Instructions burned: 139 (million)
% 8.64/1.60 % (751847)Instruction limit reached!
% 8.64/1.60 % (751847)------------------------------
% 8.64/1.60 % (751847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/1.60 % (751847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.60 % (751847)CaDiCaL version: 2.1.3
% 8.64/1.60 % (751847)Termination reason: Instruction limit
% 8.64/1.60 % (751847)Termination phase: Saturation
% 8.64/1.60 % (751847)Time elapsed: 0.147 s
% 8.64/1.60 % (751847)Peak memory usage: 13 MB
% 8.64/1.60 % (751847)Instructions burned: 282 (million)
% 8.64/1.60 % (751880)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=29593941:i=2186:rtra=on:ixr=off_2991 on theBenchmark for (2991ds/2186Mi)
% 8.64/1.60 % (751875)Instruction limit reached!
% 8.64/1.60 % (751875)------------------------------
% 8.64/1.60 % (751875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/1.60 % (751875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.60 % (751875)CaDiCaL version: 2.1.3
% 8.64/1.60 % (751875)Termination reason: Instruction limit
% 8.64/1.60 % (751875)Termination phase: Saturation
% 8.64/1.60 % (751875)Time elapsed: 0.039 s
% 8.64/1.60 % (751875)Peak memory usage: 12 MB
% 8.64/1.60 % (751875)Instructions burned: 89 (million)
% 8.64/1.60 % (751881)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1787785125:s2a=on:i=240:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/240Mi)
% 8.64/1.60 % (751883)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=4281247172:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/805Mi)
% 8.64/1.60 % (751878)Instruction limit reached!
% 8.64/1.60 % (751878)------------------------------
% 8.64/1.60 % (751878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/1.60 % (751878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.60 % (751878)CaDiCaL version: 2.1.3
% 8.64/1.60 % (751878)Termination reason: Instruction limit
% 8.64/1.60 % (751878)Termination phase: Saturation
% 8.64/1.60 % (751878)Time elapsed: 0.048 s
% 8.64/1.60 % (751878)Peak memory usage: 12 MB
% 8.64/1.60 % (751878)Instructions burned: 94 (million)
% 8.64/1.60 % (751886)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 8.64/1.60 % (751886)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=24969022:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2990 on theBenchmark for (2990ds/391Mi)
% 8.64/1.60 % (751886)Refutation not found, incomplete strategy
% 8.64/1.60 % (751886)------------------------------
% 8.64/1.60 % (751886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/1.60 % (751886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.60 % (751886)CaDiCaL version: 2.1.3
% 8.64/1.60 % (751886)Termination reason: Refutation not found, incomplete strategy
% 8.64/1.60 % (751886)Time elapsed: 0.001 s
% 8.64/1.60 % (751886)Peak memory usage: 11 MB
% 8.64/1.60 % (751886)Instructions burned: 1 (million)
% 8.64/1.60 % (751886)------------------------------
% 8.64/1.60 % (751886)------------------------------
% 8.64/1.60 % (751888)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1744253309:i=355:av=off:fsr=off:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/355Mi)
% 8.64/1.60 % (751881)Instruction limit reached!
% 8.64/1.60 % (751881)------------------------------
% 8.64/1.60 % (751881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/1.60 % (751881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.69 % (751881)CaDiCaL version: 2.1.3
% 8.64/1.69 % (751881)Termination reason: Instruction limit
% 8.64/1.69 % (751881)Termination phase: Saturation
% 8.64/1.69 % (751881)Time elapsed: 0.098 s
% 8.64/1.69 % (751881)Peak memory usage: 12 MB
% 8.64/1.69 % (751881)Instructions burned: 241 (million)
% 8.64/1.69 % (751890)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=1894971569:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/314Mi)
% 8.64/1.69 % (751890)Refutation not found, incomplete strategy
% 8.64/1.69 % (751890)------------------------------
% 8.64/1.69 % (751890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/1.69 % (751890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.69 % (751890)CaDiCaL version: 2.1.3
% 8.64/1.69 % (751890)Termination reason: Refutation not found, incomplete strategy
% 8.64/1.69 % (751890)Time elapsed: 0.001 s
% 8.64/1.69 % (751890)Peak memory usage: 11 MB
% 8.64/1.69 % (751890)------------------------------
% 8.64/1.69 % (751890)------------------------------
% 8.64/1.69 % (751892)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=147053275:s2a=on:i=251:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/251Mi)
% 8.64/1.69 % (751888)Instruction limit reached!
% 8.64/1.69 % (751888)------------------------------
% 8.64/1.69 % (751888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/1.69 % (751888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.69 % (751888)CaDiCaL version: 2.1.3
% 8.64/1.69 % (751888)Termination reason: Instruction limit
% 8.64/1.69 % (751888)Termination phase: Saturation
% 8.64/1.69 % (751888)Time elapsed: 0.156 s
% 8.64/1.69 % (751888)Peak memory usage: 12 MB
% 8.64/1.69 % (751888)Instructions burned: 356 (million)
% 8.64/1.69 % (751894)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=2510878997: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)
% 8.64/1.69 % (751892)Instruction limit reached!
% 8.64/1.69 % (751892)------------------------------
% 8.64/1.69 % (751892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/1.69 % (751892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.69 % (751892)CaDiCaL version: 2.1.3
% 8.64/1.69 % (751892)Termination reason: Instruction limit
% 8.64/1.69 % (751892)Termination phase: Saturation
% 8.64/1.69 % (751892)Time elapsed: 0.111 s
% 8.64/1.69 % (751892)Peak memory usage: 12 MB
% 8.64/1.69 % (751892)Instructions burned: 252 (million)
% 8.64/1.69 % (751896)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=4204797403:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2988 on theBenchmark for (2988ds/673Mi)
% 8.64/1.69 % (751835)Instruction limit reached!
% 8.64/1.69 % (751835)------------------------------
% 8.64/1.69 % (751835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/1.69 % (751835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.69 % (751835)CaDiCaL version: 2.1.3
% 8.64/1.69 % (751835)Termination reason: Instruction limit
% 8.64/1.69 % (751835)Termination phase: Saturation
% 8.64/1.69 % (751835)Time elapsed: 0.517 s
% 8.64/1.69 % (751835)Peak memory usage: 13 MB
% 8.64/1.69 % (751835)Instructions burned: 1440 (million)
% 8.64/1.69 % (751851)Instruction limit reached!
% 8.64/1.69 % (751851)------------------------------
% 8.64/1.69 % (751851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/1.69 % (751851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.69 % (751851)CaDiCaL version: 2.1.3
% 8.64/1.69 % (751851)Termination reason: Instruction limit
% 8.64/1.69 % (751851)Termination phase: Saturation
% 8.64/1.69 % (751851)Time elapsed: 0.443 s
% 8.64/1.69 % (751851)Peak memory usage: 15 MB
% 8.64/1.69 % (751851)Instructions burned: 866 (million)
% 8.64/1.69 % (751898)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1835694103:i=116:ep=RSTC:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/116Mi)
% 8.64/1.69 % (751899)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2621107631: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)
% 10.09/1.83 % (751898)Instruction limit reached!
% 10.09/1.83 % (751898)------------------------------
% 10.09/1.83 % (751898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.09/1.83 % (751898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/1.83 % (751898)CaDiCaL version: 2.1.3
% 10.09/1.83 % (751898)Termination reason: Instruction limit
% 10.09/1.83 % (751898)Termination phase: Saturation
% 10.09/1.83 % (751898)Time elapsed: 0.050 s
% 10.09/1.83 % (751898)Peak memory usage: 12 MB
% 10.09/1.83 % (751898)Instructions burned: 117 (million)
% 10.09/1.83 % (751883)Instruction limit reached!
% 10.09/1.83 % (751883)------------------------------
% 10.09/1.83 % (751883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.09/1.83 % (751883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/1.83 % (751883)CaDiCaL version: 2.1.3
% 10.09/1.83 % (751883)Termination reason: Instruction limit
% 10.09/1.83 % (751883)Termination phase: Saturation
% 10.09/1.83 % (751883)Time elapsed: 0.333 s
% 10.09/1.83 % (751883)Peak memory usage: 13 MB
% 10.09/1.83 % (751883)Instructions burned: 807 (million)
% 10.09/1.83 % (751903)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 10.09/1.83 % (751902)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=1338126549: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)
% 10.09/1.83 % (751903)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=932254728:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2987 on theBenchmark for (2987ds/39Mi)
% 10.09/1.83 % (751902)Instruction limit reached!
% 10.09/1.83 % (751902)------------------------------
% 10.09/1.83 % (751902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.09/1.83 % (751902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/1.83 % (751902)CaDiCaL version: 2.1.3
% 10.09/1.83 % (751902)Termination reason: Instruction limit
% 10.09/1.83 % (751902)Termination phase: Saturation
% 10.09/1.83 % (751902)Time elapsed: 0.014 s
% 10.09/1.83 % (751902)Peak memory usage: 12 MB
% 10.09/1.83 % (751902)Instructions burned: 32 (million)
% 10.09/1.83 % (751903)Instruction limit reached!
% 10.09/1.83 % (751903)------------------------------
% 10.09/1.83 % (751903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.09/1.83 % (751903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/1.83 % (751903)CaDiCaL version: 2.1.3
% 10.09/1.83 % (751903)Termination reason: Instruction limit
% 10.09/1.83 % (751903)Termination phase: Saturation
% 10.09/1.83 % (751903)Time elapsed: 0.020 s
% 10.09/1.83 % (751903)Peak memory usage: 12 MB
% 10.09/1.83 % (751903)Instructions burned: 39 (million)
% 10.09/1.83 % (751906)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2384649026:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2987 on theBenchmark for (2987ds/365Mi)
% 10.09/1.83 % (751907)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=613857527:i=158:av=off:rtra=on_2987 on theBenchmark for (2987ds/158Mi)
% 10.09/1.83 % (751899)Instruction limit reached!
% 10.09/1.83 % (751899)------------------------------
% 10.09/1.83 % (751899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.09/1.83 % (751899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/1.83 % (751899)CaDiCaL version: 2.1.3
% 10.09/1.83 % (751899)Termination reason: Instruction limit
% 10.09/1.83 % (751899)Termination phase: Saturation
% 10.09/1.83 % (751899)Time elapsed: 0.117 s
% 10.09/1.83 % (751899)Peak memory usage: 12 MB
% 10.09/1.83 % (751899)Instructions burned: 271 (million)
% 10.09/1.83 % (751910)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
% 10.09/1.83 % (751910)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=1571383700:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/252Mi)
% 10.09/1.83 % (751880)Instruction limit reached!
% 10.09/1.83 % (751880)------------------------------
% 10.09/1.89 % (751880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.09/1.89 % (751880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/1.89 % (751880)CaDiCaL version: 2.1.3
% 10.09/1.89 % (751880)Termination reason: Instruction limit
% 10.09/1.89 % (751880)Termination phase: Saturation
% 10.09/1.89 % (751880)Time elapsed: 0.455 s
% 10.09/1.89 % (751880)Peak memory usage: 13 MB
% 10.09/1.89 % (751880)Instructions burned: 2189 (million)
% 10.09/1.89 % (751912)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=2354703271:i=213:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/213Mi)
% 10.09/1.89 % (751912)Refutation not found, incomplete strategy
% 10.09/1.89 % (751912)------------------------------
% 10.09/1.89 % (751912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.09/1.89 % (751912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/1.89 % (751912)CaDiCaL version: 2.1.3
% 10.09/1.89 % (751912)Termination reason: Refutation not found, incomplete strategy
% 10.09/1.89 % (751912)Time elapsed: 0.001 s
% 10.09/1.89 % (751912)Peak memory usage: 11 MB
% 10.09/1.89 % (751912)------------------------------
% 10.09/1.89 % (751912)------------------------------
% 10.09/1.89 % (751907)Instruction limit reached!
% 10.09/1.89 % (751907)------------------------------
% 10.09/1.89 % (751907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.09/1.89 % (751907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/1.89 % (751907)CaDiCaL version: 2.1.3
% 10.09/1.89 % (751907)Termination reason: Instruction limit
% 10.09/1.89 % (751907)Termination phase: Saturation
% 10.09/1.89 % (751907)Time elapsed: 0.064 s
% 10.09/1.89 % (751907)Peak memory usage: 12 MB
% 10.09/1.89 % (751907)Instructions burned: 159 (million)
% 10.09/1.89 % (751914)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=1971814169:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2986 on theBenchmark for (2986ds/160Mi)
% 10.09/1.89 % (751914)Refutation not found, incomplete strategy
% 10.09/1.89 % (751914)------------------------------
% 10.09/1.89 % (751914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.09/1.89 % (751914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/1.89 % (751914)CaDiCaL version: 2.1.3
% 10.09/1.89 % (751914)Termination reason: Refutation not found, incomplete strategy
% 10.09/1.89 % (751914)Time elapsed: 0.001 s
% 10.09/1.89 % (751914)Peak memory usage: 11 MB
% 10.09/1.89 % (751914)------------------------------
% 10.09/1.89 % (751914)------------------------------
% 10.09/1.89 % (751915)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=4085723984:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/763Mi)
% 10.09/1.89 % (751917)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 10.09/1.89 % (751917)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=3250765222: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)
% 10.09/1.89 % (751917)Refutation not found, incomplete strategy
% 10.09/1.89 % (751917)------------------------------
% 10.09/1.89 % (751917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.09/1.89 % (751917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/1.89 % (751917)CaDiCaL version: 2.1.3
% 10.09/1.89 % (751917)Termination reason: Refutation not found, incomplete strategy
% 10.09/1.89 % (751917)Time elapsed: 0.0000 s
% 10.09/1.89 % (751917)Peak memory usage: 11 MB
% 10.09/1.89 % (751917)------------------------------
% 10.09/1.89 % (751917)------------------------------
% 10.09/1.89 % (751920)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=2669366334:s2a=on:i=386:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/386Mi)
% 10.09/1.89 % (751896)Instruction limit reached!
% 10.09/1.89 % (751896)------------------------------
% 10.09/1.89 % (751896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.09/1.89 % (751896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.09/1.89 % (751896)CaDiCaL version: 2.1.3
% 10.09/1.89 % (751896)Termination reason: Instruction limit
% 10.77/1.95 % (751896)Termination phase: Saturation
% 10.77/1.95 % (751896)Time elapsed: 0.257 s
% 10.77/1.95 % (751896)Peak memory usage: 13 MB
% 10.77/1.95 % (751896)Instructions burned: 674 (million)
% 10.77/1.95 % (751906)Instruction limit reached!
% 10.77/1.95 % (751906)------------------------------
% 10.77/1.95 % (751906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.77/1.95 % (751906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/1.95 % (751906)CaDiCaL version: 2.1.3
% 10.77/1.95 % (751906)Termination reason: Instruction limit
% 10.77/1.95 % (751906)Termination phase: Saturation
% 10.77/1.95 % (751906)Time elapsed: 0.142 s
% 10.77/1.95 % (751906)Peak memory usage: 13 MB
% 10.77/1.95 % (751906)Instructions burned: 365 (million)
% 10.77/1.95 % (751910)Instruction limit reached!
% 10.77/1.95 % (751910)------------------------------
% 10.77/1.95 % (751910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.77/1.95 % (751910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/1.95 % (751910)CaDiCaL version: 2.1.3
% 10.77/1.95 % (751910)Termination reason: Instruction limit
% 10.77/1.95 % (751910)Termination phase: Saturation
% 10.77/1.95 % (751910)Time elapsed: 0.103 s
% 10.77/1.95 % (751910)Peak memory usage: 12 MB
% 10.77/1.95 % (751910)Instructions burned: 256 (million)
% 10.77/1.95 % (751922)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=2350301976:i=300:piset=and:nm=32:rtra=on_2985 on theBenchmark for (2985ds/300Mi)
% 10.77/1.95 % (751923)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=4218166100:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/567Mi)
% 10.77/1.95 % (751923)Refutation not found, incomplete strategy
% 10.77/1.95 % (751923)------------------------------
% 10.77/1.95 % (751923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.77/1.95 % (751923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/1.95 % (751923)CaDiCaL version: 2.1.3
% 10.77/1.95 % (751923)Termination reason: Refutation not found, incomplete strategy
% 10.77/1.95 % (751923)Time elapsed: 0.0000 s
% 10.77/1.95 % (751923)Peak memory usage: 12 MB
% 10.77/1.95 % (751923)Instructions burned: 1 (million)
% 10.77/1.95 % (751923)------------------------------
% 10.77/1.95 % (751923)------------------------------
% 10.77/1.95 % (751924)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=2346623640:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2985 on theBenchmark for (2985ds/379Mi)
% 10.77/1.95 % (751924)Refutation not found, incomplete strategy
% 10.77/1.95 % (751924)------------------------------
% 10.77/1.95 % (751924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.77/1.95 % (751924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/1.95 % (751927)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=407186606: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)
% 10.77/1.95 % (751924)CaDiCaL version: 2.1.3
% 10.77/1.95 % (751924)Termination reason: Refutation not found, incomplete strategy
% 10.77/1.95 % (751924)Time elapsed: 0.001 s
% 10.77/1.95 % (751924)Peak memory usage: 11 MB
% 10.77/1.95 % (751924)------------------------------
% 10.77/1.95 % (751924)------------------------------
% 10.77/1.95 % (751930)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=777320424:i=478:bd=all:rtra=on_2985 on theBenchmark for (2985ds/478Mi)
% 10.77/1.95 % (751930)Refutation not found, incomplete strategy
% 10.77/1.95 % (751930)------------------------------
% 10.77/1.95 % (751930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.77/1.95 % (751930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.77/1.95 % (751930)CaDiCaL version: 2.1.3
% 10.77/1.95 % (751930)Termination reason: Refutation not found, incomplete strategy
% 10.77/1.95 % (751930)Time elapsed: 0.001 s
% 10.77/1.95 % (751930)Peak memory usage: 12 MB
% 10.77/1.95 % (751930)Instructions burned: 1 (million)
% 10.77/1.95 % (751930)------------------------------
% 10.77/1.95 % (751930)------------------------------
% 10.77/1.95 % (751932)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3352215779:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2985 on theBenchmark for (2985ds/445Mi)
% 10.77/1.95 % (751927)Instruction limit reached!
% 10.77/1.95 % (751927)------------------------------
% 10.77/1.95 % (751927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.62/2.03 % (751927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/2.03 % (751927)CaDiCaL version: 2.1.3
% 12.62/2.03 % (751927)Termination reason: Instruction limit
% 12.62/2.03 % (751927)Termination phase: Saturation
% 12.62/2.03 % (751927)Time elapsed: 0.108 s
% 12.62/2.03 % (751927)Peak memory usage: 12 MB
% 12.62/2.03 % (751927)Instructions burned: 433 (million)
% 12.62/2.03 % (751922)Instruction limit reached!
% 12.62/2.03 % (751922)------------------------------
% 12.62/2.03 % (751922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.62/2.03 % (751922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/2.03 % (751922)CaDiCaL version: 2.1.3
% 12.62/2.03 % (751922)Termination reason: Instruction limit
% 12.62/2.03 % (751922)Termination phase: Saturation
% 12.62/2.03 % (751922)Time elapsed: 0.132 s
% 12.62/2.03 % (751922)Peak memory usage: 12 MB
% 12.62/2.03 % (751922)Instructions burned: 302 (million)
% 12.62/2.03 % (751934)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=479798395:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2984 on theBenchmark for (2984ds/71Mi)
% 12.62/2.03 % (751935)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2765019066:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/302Mi)
% 12.62/2.03 % (751935)Refutation not found, incomplete strategy
% 12.62/2.03 % (751935)------------------------------
% 12.62/2.03 % (751935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.62/2.03 % (751935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/2.03 % (751935)CaDiCaL version: 2.1.3
% 12.62/2.03 % (751935)Termination reason: Refutation not found, incomplete strategy
% 12.62/2.03 % (751935)Time elapsed: 0.001 s
% 12.62/2.03 % (751935)Peak memory usage: 11 MB
% 12.62/2.03 % (751935)------------------------------
% 12.62/2.03 % (751935)------------------------------
% 12.62/2.03 % (751920)Instruction limit reached!
% 12.62/2.03 % (751920)------------------------------
% 12.62/2.03 % (751920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.62/2.03 % (751920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/2.03 % (751920)CaDiCaL version: 2.1.3
% 12.62/2.03 % (751920)Termination reason: Instruction limit
% 12.62/2.03 % (751920)Termination phase: Saturation
% 12.62/2.03 % (751920)Time elapsed: 0.184 s
% 12.62/2.03 % (751920)Peak memory usage: 12 MB
% 12.62/2.03 % (751920)Instructions burned: 387 (million)
% 12.62/2.03 % (751938)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=887244868:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2983 on theBenchmark for (2983ds/4980Mi)
% 12.62/2.03 % (751938)Refutation not found, incomplete strategy
% 12.62/2.03 % (751938)------------------------------
% 12.62/2.03 % (751938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.62/2.03 % (751938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/2.03 % (751938)CaDiCaL version: 2.1.3
% 12.62/2.03 % (751938)Termination reason: Refutation not found, incomplete strategy
% 12.62/2.03 % (751938)Time elapsed: 0.0000 s
% 12.62/2.03 % (751938)Peak memory usage: 11 MB
% 12.62/2.03 % (751938)------------------------------
% 12.62/2.03 % (751938)------------------------------
% 12.62/2.03 % (751939)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
% 12.62/2.03 % (751939)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 12.62/2.03 % (751939)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3578796749:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2983 on theBenchmark for (2983ds/100Mi)
% 12.62/2.03 % (751934)Instruction limit reached!
% 12.62/2.03 % (751934)------------------------------
% 12.62/2.03 % (751934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.62/2.03 % (751934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/2.03 % (751934)CaDiCaL version: 2.1.3
% 12.62/2.03 % (751934)Termination reason: Instruction limit
% 12.62/2.03 % (751934)Termination phase: Saturation
% 12.62/2.03 % (751934)Time elapsed: 0.038 s
% 12.62/2.03 % (751934)Peak memory usage: 12 MB
% 12.62/2.03 % (751934)Instructions burned: 72 (million)
% 13.56/2.25 % (751941)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=3223491229:i=76:piset=equals:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/76Mi)
% 13.56/2.25 % (751943)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=4002383396:i=289:rtra=on_2983 on theBenchmark for (2983ds/289Mi)
% 13.56/2.25 % (751943)Refutation not found, incomplete strategy
% 13.56/2.25 % (751943)------------------------------
% 13.56/2.25 % (751943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.56/2.25 % (751943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.56/2.25 % (751943)CaDiCaL version: 2.1.3
% 13.56/2.25 % (751943)Termination reason: Refutation not found, incomplete strategy
% 13.56/2.25 % (751943)Time elapsed: 0.0000 s
% 13.56/2.25 % (751943)Peak memory usage: 12 MB
% 13.56/2.25 % (751943)Instructions burned: 1 (million)
% 13.56/2.25 % (751943)------------------------------
% 13.56/2.25 % (751943)------------------------------
% 13.56/2.25 % (751946)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=2767902078:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2983 on theBenchmark for (2983ds/493Mi)
% 13.56/2.25 % (751915)Instruction limit reached!
% 13.56/2.25 % (751915)------------------------------
% 13.56/2.25 % (751915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.56/2.25 % (751915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.56/2.25 % (751915)CaDiCaL version: 2.1.3
% 13.56/2.25 % (751915)Termination reason: Instruction limit
% 13.56/2.25 % (751915)Termination phase: Saturation
% 13.56/2.25 % (751915)Time elapsed: 0.270 s
% 13.56/2.25 % (751915)Peak memory usage: 13 MB
% 13.56/2.25 % (751915)Instructions burned: 764 (million)
% 13.56/2.25 % (751939)Instruction limit reached!
% 13.56/2.25 % (751939)------------------------------
% 13.56/2.25 % (751939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.56/2.25 % (751939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.56/2.25 % (751939)CaDiCaL version: 2.1.3
% 13.56/2.25 % (751939)Termination reason: Instruction limit
% 13.56/2.25 % (751939)Termination phase: Saturation
% 13.56/2.25 % (751939)Time elapsed: 0.046 s
% 13.56/2.25 % (751939)Peak memory usage: 12 MB
% 13.56/2.25 % (751939)Instructions burned: 100 (million)
% 13.56/2.25 % (751941)Instruction limit reached!
% 13.56/2.25 % (751941)------------------------------
% 13.56/2.25 % (751941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.56/2.25 % (751941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.56/2.25 % (751941)CaDiCaL version: 2.1.3
% 13.56/2.25 % (751941)Termination reason: Instruction limit
% 13.56/2.25 % (751941)Termination phase: Saturation
% 13.56/2.25 % (751941)Time elapsed: 0.037 s
% 13.56/2.25 % (751941)Peak memory usage: 12 MB
% 13.56/2.25 % (751941)Instructions burned: 77 (million)
% 13.56/2.25 % (751948)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=2299693111:cond=on:i=34:hud=10:nm=10:rtra=on_2983 on theBenchmark for (2983ds/34Mi)
% 13.56/2.25 % (751949)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 13.56/2.25 % (751949)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=2421095452:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2983 on theBenchmark for (2983ds/372Mi)
% 13.56/2.25 % (751950)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=4171183252:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2983 on theBenchmark for (2983ds/670Mi)
% 13.56/2.25 % (751949)Refutation not found, incomplete strategy
% 13.56/2.25 % (751949)------------------------------
% 13.56/2.25 % (751949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.56/2.25 % (751949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.56/2.25 % (751949)CaDiCaL version: 2.1.3
% 13.56/2.25 % (751949)Termination reason: Refutation not found, incomplete strategy
% 13.56/2.25 % (751949)Time elapsed: 0.002 s
% 13.56/2.25 % (751949)Peak memory usage: 11 MB
% 13.56/2.25 % (751949)Instructions burned: 2 (million)
% 14.06/2.37 % (751949)------------------------------
% 14.06/2.37 % (751949)------------------------------
% 14.06/2.37 % (751948)Instruction limit reached!
% 14.06/2.37 % (751948)------------------------------
% 14.06/2.37 % (751948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.37 % (751948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.37 % (751948)CaDiCaL version: 2.1.3
% 14.06/2.37 % (751948)Termination reason: Instruction limit
% 14.06/2.37 % (751948)Termination phase: Saturation
% 14.06/2.37 % (751948)Time elapsed: 0.018 s
% 14.06/2.37 % (751948)Peak memory usage: 12 MB
% 14.06/2.37 % (751948)Instructions burned: 34 (million)
% 14.06/2.37 % (751954)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=541925144:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/647Mi)
% 14.06/2.37 % (751955)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=1641819876:i=857:add=off:kws=frequency:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/857Mi)
% 14.06/2.37 % (751954)Refutation not found, incomplete strategy
% 14.06/2.37 % (751954)------------------------------
% 14.06/2.37 % (751954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.37 % (751954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.37 % (751954)CaDiCaL version: 2.1.3
% 14.06/2.37 % (751954)Termination reason: Refutation not found, incomplete strategy
% 14.06/2.37 % (751954)Time elapsed: 0.0000 s
% 14.06/2.37 % (751954)Peak memory usage: 11 MB
% 14.06/2.37 % (751954)------------------------------
% 14.06/2.37 % (751954)------------------------------
% 14.06/2.37 % (751932)Instruction limit reached!
% 14.06/2.37 % (751932)------------------------------
% 14.06/2.37 % (751932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.37 % (751932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.37 % (751932)CaDiCaL version: 2.1.3
% 14.06/2.37 % (751932)Termination reason: Instruction limit
% 14.06/2.37 % (751932)Termination phase: Saturation
% 14.06/2.37 % (751932)Time elapsed: 0.223 s
% 14.06/2.37 % (751932)Peak memory usage: 14 MB
% 14.06/2.37 % (751932)Instructions burned: 446 (million)
% 14.06/2.37 % (751958)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=283324860:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2982 on theBenchmark for (2982ds/693Mi)
% 14.06/2.37 % (751959)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=1340163966:i=285:hud=10:bd=all:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/285Mi)
% 14.06/2.37 % (751959)Refutation not found, incomplete strategy
% 14.06/2.37 % (751959)------------------------------
% 14.06/2.37 % (751959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.37 % (751959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.37 % (751959)CaDiCaL version: 2.1.3
% 14.06/2.37 % (751959)Termination reason: Refutation not found, incomplete strategy
% 14.06/2.37 % (751959)Time elapsed: 0.001 s
% 14.06/2.37 % (751959)Peak memory usage: 11 MB
% 14.06/2.37 % (751959)Instructions burned: 1 (million)
% 14.06/2.37 % (751959)------------------------------
% 14.06/2.37 % (751959)------------------------------
% 14.06/2.37 % (751946)Instruction limit reached!
% 14.06/2.37 % (751946)------------------------------
% 14.06/2.37 % (751946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.06/2.37 % (751946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.06/2.37 % (751946)CaDiCaL version: 2.1.3
% 14.06/2.37 % (751946)Termination reason: Instruction limit
% 14.06/2.37 % (751946)Termination phase: Saturation
% 14.06/2.37 % (751946)Time elapsed: 0.113 s
% 14.06/2.37 % (751946)Peak memory usage: 12 MB
% 14.06/2.37 % (751946)Instructions burned: 493 (million)
% 14.06/2.37 % (751962)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 14.06/2.37 % (751962)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=3099456688: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)
% 14.06/2.37 % (751963)dis+10_1_si=on:random_seed=689185776:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2982 on theBenchmark for (2982ds/407Mi)
% 15.32/2.62 % (751963)Refutation not found, incomplete strategy
% 15.32/2.62 % (751963)------------------------------
% 15.32/2.62 % (751963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.32/2.62 % (751963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.32/2.62 % (751963)CaDiCaL version: 2.1.3
% 15.32/2.62 % (751963)Termination reason: Refutation not found, incomplete strategy
% 15.32/2.62 % (751963)Time elapsed: 0.0000 s
% 15.32/2.62 % (751963)Peak memory usage: 11 MB
% 15.32/2.62 % (751963)------------------------------
% 15.32/2.62 % (751963)------------------------------
% 15.32/2.62 % (751966)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=3361549702:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/2240Mi)
% 15.32/2.62 % (751962)Instruction limit reached!
% 15.32/2.62 % (751962)------------------------------
% 15.32/2.62 % (751962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.32/2.62 % (751962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.32/2.62 % (751962)CaDiCaL version: 2.1.3
% 15.32/2.62 % (751962)Termination reason: Instruction limit
% 15.32/2.62 % (751962)Termination phase: Saturation
% 15.32/2.62 % (751962)Time elapsed: 0.023 s
% 15.32/2.62 % (751962)Peak memory usage: 12 MB
% 15.32/2.62 % (751962)Instructions burned: 54 (million)
% 15.32/2.62 % (751968)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3100269640:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/336Mi)
% 15.32/2.62 % (751968)Refutation not found, incomplete strategy
% 15.32/2.62 % (751968)------------------------------
% 15.32/2.62 % (751968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.32/2.62 % (751968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.32/2.62 % (751968)CaDiCaL version: 2.1.3
% 15.32/2.62 % (751968)Termination reason: Refutation not found, incomplete strategy
% 15.32/2.62 % (751968)Time elapsed: 0.0000 s
% 15.32/2.62 % (751968)Peak memory usage: 11 MB
% 15.32/2.62 % (751968)------------------------------
% 15.32/2.62 % (751968)------------------------------
% 15.32/2.62 % (751970)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=3333260631:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2981 on theBenchmark for (2981ds/1142Mi)
% 15.32/2.62 % (751950)Instruction limit reached!
% 15.32/2.62 % (751950)------------------------------
% 15.32/2.62 % (751950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.32/2.62 % (751950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.32/2.62 % (751950)CaDiCaL version: 2.1.3
% 15.32/2.62 % (751950)Termination reason: Instruction limit
% 15.32/2.62 % (751950)Termination phase: Saturation
% 15.32/2.62 % (751950)Time elapsed: 0.251 s
% 15.32/2.62 % (751950)Peak memory usage: 12 MB
% 15.32/2.62 % (751950)Instructions burned: 670 (million)
% 15.32/2.62 % (751972)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=2284732878:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2980 on theBenchmark for (2980ds/376Mi)
% 15.32/2.62 % (751972)Refutation not found, incomplete strategy
% 15.32/2.62 % (751972)------------------------------
% 15.32/2.62 % (751972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.32/2.62 % (751972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.32/2.62 % (751972)CaDiCaL version: 2.1.3
% 15.32/2.62 % (751972)Termination reason: Refutation not found, incomplete strategy
% 15.32/2.62 % (751972)Time elapsed: 0.001 s
% 15.32/2.62 % (751972)Peak memory usage: 11 MB
% 15.32/2.62 % (751972)------------------------------
% 15.32/2.62 % (751972)------------------------------
% 15.32/2.62 % (751974)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=3311687615:i=766:bd=all:rtra=on_2980 on theBenchmark for (2980ds/766Mi)
% 15.32/2.62 % (751974)Refutation not found, incomplete strategy
% 15.32/2.62 % (751974)------------------------------
% 15.32/2.62 % (751974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.32/2.62 % (751974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.32/2.62 % (751974)CaDiCaL version: 2.1.3
% 15.32/2.62 % (751974)Termination reason: Refutation not found, incomplete strategy
% 15.32/2.62 % (751974)Time elapsed: 0.001 s
% 15.32/2.62 % (751974)Peak memory usage: 12 MB
% 15.32/2.62 % (751974)Instructions burned: 1 (million)
% 16.29/2.73 % (751974)------------------------------
% 16.29/2.73 % (751974)------------------------------
% 16.29/2.73 % (751976)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 16.29/2.73 % (751976)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=2754190925: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)
% 16.29/2.73 % (751976)Refutation not found, incomplete strategy
% 16.29/2.73 % (751976)------------------------------
% 16.29/2.73 % (751976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.29/2.73 % (751976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.29/2.73 % (751976)CaDiCaL version: 2.1.3
% 16.29/2.73 % (751976)Termination reason: Refutation not found, incomplete strategy
% 16.29/2.73 % (751976)Time elapsed: 0.0000 s
% 16.29/2.73 % (751976)Peak memory usage: 11 MB
% 16.29/2.73 % (751976)------------------------------
% 16.29/2.73 % (751976)------------------------------
% 16.29/2.73 % (751978)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=2991248361:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2979 on theBenchmark for (2979ds/6359Mi)
% 16.29/2.73 % (751958)Instruction limit reached!
% 16.29/2.73 % (751958)------------------------------
% 16.29/2.73 % (751958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.29/2.73 % (751958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.29/2.73 % (751958)CaDiCaL version: 2.1.3
% 16.29/2.73 % (751958)Termination reason: Instruction limit
% 16.29/2.73 % (751958)Termination phase: Saturation
% 16.29/2.73 % (751958)Time elapsed: 0.296 s
% 16.29/2.73 % (751958)Peak memory usage: 12 MB
% 16.29/2.73 % (751958)Instructions burned: 694 (million)
% 16.29/2.73 % (751955)Instruction limit reached!
% 16.29/2.73 % (751955)------------------------------
% 16.29/2.73 % (751955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.29/2.73 % (751955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.29/2.73 % (751955)CaDiCaL version: 2.1.3
% 16.29/2.73 % (751955)Termination reason: Instruction limit
% 16.29/2.73 % (751955)Termination phase: Saturation
% 16.29/2.73 % (751955)Time elapsed: 0.329 s
% 16.29/2.73 % (751955)Peak memory usage: 12 MB
% 16.29/2.73 % (751955)Instructions burned: 858 (million)
% 16.29/2.73 % (751980)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3728504405:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2979 on theBenchmark for (2979ds/35Mi)
% 16.29/2.73 % (751980)Refutation not found, incomplete strategy
% 16.29/2.73 % (751980)------------------------------
% 16.29/2.73 % (751980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.29/2.73 % (751980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.29/2.73 % (751980)CaDiCaL version: 2.1.3
% 16.29/2.73 % (751980)Termination reason: Refutation not found, incomplete strategy
% 16.29/2.73 % (751980)Time elapsed: 0.0000 s
% 16.29/2.73 % (751980)Peak memory usage: 11 MB
% 16.29/2.73 % (751980)------------------------------
% 16.29/2.73 % (751980)------------------------------
% 16.29/2.73 % (751981)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3252614507:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2979 on theBenchmark for (2979ds/53Mi)
% 16.29/2.73 % (751983)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=1762054184:s2a=on:i=876:s2at=6:nm=2:rtra=on_2979 on theBenchmark for (2979ds/876Mi)
% 16.29/2.73 % (751981)Instruction limit reached!
% 16.29/2.73 % (751981)------------------------------
% 16.29/2.73 % (751981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.29/2.73 % (751981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.29/2.73 % (751981)CaDiCaL version: 2.1.3
% 16.29/2.73 % (751981)Termination reason: Instruction limit
% 16.29/2.73 % (751981)Termination phase: Saturation
% 16.29/2.73 % (751981)Time elapsed: 0.029 s
% 16.29/2.73 % (751981)Peak memory usage: 12 MB
% 16.29/2.73 % (751981)Instructions burned: 53 (million)
% 16.29/2.73 % (751986)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=993692115:i=57:ep=R:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/57Mi)
% 16.29/2.77 % (751986)Instruction limit reached!
% 16.29/2.77 % (751986)------------------------------
% 16.29/2.77 % (751986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.29/2.77 % (751986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.29/2.77 % (751986)CaDiCaL version: 2.1.3
% 16.29/2.77 % (751986)Termination reason: Instruction limit
% 16.29/2.77 % (751986)Termination phase: Saturation
% 16.29/2.77 % (751986)Time elapsed: 0.028 s
% 16.29/2.77 % (751986)Peak memory usage: 12 MB
% 16.29/2.77 % (751986)Instructions burned: 59 (million)
% 16.29/2.77 % (751988)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 16.29/2.77 % (751988)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3519440795:i=306:bd=all:rtra=on_2978 on theBenchmark for (2978ds/306Mi)
% 16.29/2.77 % (751988)Refutation not found, incomplete strategy
% 16.29/2.77 % (751988)------------------------------
% 16.29/2.77 % (751988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.29/2.77 % (751988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.29/2.77 % (751988)CaDiCaL version: 2.1.3
% 16.29/2.77 % (751988)Termination reason: Refutation not found, incomplete strategy
% 16.29/2.77 % (751988)Time elapsed: 0.001 s
% 16.29/2.77 % (751988)Peak memory usage: 11 MB
% 16.29/2.77 % (751988)Instructions burned: 1 (million)
% 16.29/2.77 % (751988)------------------------------
% 16.29/2.77 % (751988)------------------------------
% 16.29/2.77 % (751990)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=912540961:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/262Mi)
% 16.29/2.77 % (751990)Refutation not found, incomplete strategy
% 16.29/2.77 % (751990)------------------------------
% 16.29/2.77 % (751990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.29/2.77 % (751990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.29/2.77 % (751990)CaDiCaL version: 2.1.3
% 16.29/2.77 % (751990)Termination reason: Refutation not found, incomplete strategy
% 16.29/2.77 % (751990)Time elapsed: 0.001 s
% 16.29/2.77 % (751990)Peak memory usage: 11 MB
% 16.29/2.77 % (751990)------------------------------
% 16.29/2.77 % (751990)------------------------------
% 16.29/2.77 % (751992)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 16.29/2.77 % (751992)ott+1002_16_sil=128000:si=on:random_seed=4254679108:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2978 on theBenchmark for (2978ds/409Mi)
% 16.29/2.77 % (751970)Instruction limit reached!
% 16.29/2.77 % (751970)------------------------------
% 16.29/2.77 % (751970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.29/2.77 % (751970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.29/2.77 % (751970)CaDiCaL version: 2.1.3
% 16.29/2.77 % (751970)Termination reason: Instruction limit
% 16.29/2.77 % (751970)Termination phase: Saturation
% 16.29/2.77 % (751970)Time elapsed: 0.452 s
% 16.29/2.77 % (751970)Peak memory usage: 14 MB
% 16.29/2.77 % (751970)Instructions burned: 1142 (million)
% 16.29/2.77 % (751994)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=1215370481:s2a=on:i=381:rtra=on_2977 on theBenchmark for (2977ds/381Mi)
% 16.29/2.77 % (751894)Instruction limit reached!
% 16.29/2.77 % (751894)------------------------------
% 16.29/2.77 % (751894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.29/2.77 % (751894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.29/2.77 % (751894)CaDiCaL version: 2.1.3
% 16.29/2.77 % (751894)Termination reason: Instruction limit
% 16.29/2.77 % (751894)Termination phase: Saturation
% 16.29/2.77 % (751894)Time elapsed: 1.206 s
% 16.29/2.77 % (751894)Peak memory usage: 17 MB
% 16.29/2.77 % (751894)Instructions burned: 2472 (million)
% 16.29/2.77 % (751992)Instruction limit reached!
% 16.29/2.77 % (751992)------------------------------
% 16.29/2.77 % (751992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.29/2.77 % (751992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.29/2.77 % (751992)CaDiCaL version: 2.1.3
% 16.29/2.77 % (751992)Termination reason: Instruction limit
% 16.29/2.77 % (751992)Termination phase: Saturation
% 16.29/2.77 % (751992)Time elapsed: 0.159 s
% 16.29/2.77 % (751992)Peak memory usage: 13 MB
% 16.29/2.77 % (751992)Instructions burned: 412 (million)
% 17.35/2.89 % (751996)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2975241641:cond=on:i=324:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/324Mi)
% 17.35/2.89 % (751997)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3761941658:i=240:kws=inv_precedence:rtra=on_2976 on theBenchmark for (2976ds/240Mi)
% 17.35/2.89 % (751997)Refutation not found, incomplete strategy
% 17.35/2.89 % (751997)------------------------------
% 17.35/2.89 % (751997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.35/2.89 % (751997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/2.89 % (751997)CaDiCaL version: 2.1.3
% 17.35/2.89 % (751997)Termination reason: Refutation not found, incomplete strategy
% 17.35/2.89 % (751997)Time elapsed: 0.001 s
% 17.35/2.89 % (751997)Peak memory usage: 11 MB
% 17.35/2.89 % (751997)Instructions burned: 1 (million)
% 17.35/2.89 % (751997)------------------------------
% 17.35/2.89 % (751997)------------------------------
% 17.35/2.89 % (752000)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 17.35/2.89 % (752000)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4000481090:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/124Mi)
% 17.35/2.89 % (751966)Instruction limit reached!
% 17.35/2.89 % (751966)------------------------------
% 17.35/2.89 % (751966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.35/2.89 % (751966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/2.89 % (751966)CaDiCaL version: 2.1.3
% 17.35/2.89 % (751966)Termination reason: Instruction limit
% 17.35/2.89 % (751966)Termination phase: Saturation
% 17.35/2.89 % (751966)Time elapsed: 0.621 s
% 17.35/2.89 % (751966)Peak memory usage: 17 MB
% 17.35/2.89 % (751966)Instructions burned: 2243 (million)
% 17.35/2.89 % (752002)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=174565041:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2975 on theBenchmark for (2975ds/223Mi)
% 17.35/2.89 % (752000)Instruction limit reached!
% 17.35/2.89 % (752000)------------------------------
% 17.35/2.89 % (752000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.35/2.89 % (752000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/2.89 % (752000)CaDiCaL version: 2.1.3
% 17.35/2.89 % (752000)Termination reason: Instruction limit
% 17.35/2.89 % (752000)Termination phase: Saturation
% 17.35/2.89 % (752000)Time elapsed: 0.048 s
% 17.35/2.89 % (752000)Peak memory usage: 12 MB
% 17.35/2.89 % (752000)Instructions burned: 127 (million)
% 17.35/2.89 % (751983)Instruction limit reached!
% 17.35/2.89 % (751983)------------------------------
% 17.35/2.89 % (751983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.35/2.89 % (751983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/2.89 % (751983)CaDiCaL version: 2.1.3
% 17.35/2.89 % (751983)Termination reason: Instruction limit
% 17.35/2.89 % (751983)Termination phase: Saturation
% 17.35/2.89 % (751983)Time elapsed: 0.387 s
% 17.35/2.89 % (751983)Peak memory usage: 13 MB
% 17.35/2.89 % (751983)Instructions burned: 878 (million)
% 17.35/2.89 % (752002)Instruction limit reached!
% 17.35/2.89 % (752002)------------------------------
% 17.35/2.89 % (752002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.35/2.89 % (752002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.35/2.89 % (752002)CaDiCaL version: 2.1.3
% 17.35/2.89 % (752002)Termination reason: Instruction limit
% 17.35/2.89 % (752002)Termination phase: Saturation
% 17.35/2.89 % (752002)Time elapsed: 0.041 s
% 17.35/2.89 % (752002)Peak memory usage: 12 MB
% 17.35/2.89 % (752002)Instructions burned: 225 (million)
% 17.35/2.89 % (752004)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=805854287:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2975 on theBenchmark for (2975ds/282Mi)
% 17.35/2.89 % (752006)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=4168695243:i=88:s2at=3:nm=2:rtra=on:rawr=on_2975 on theBenchmark for (2975ds/88Mi)
% 17.35/2.89 % (751994)Instruction limit reached!
% 17.35/2.89 % (751994)------------------------------
% 17.35/2.89 % (751994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.35/2.89 % (751994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (751994)CaDiCaL version: 2.1.3
% 17.93/3.03 % (751994)Termination reason: Instruction limit
% 17.93/3.03 % (751994)Termination phase: Saturation
% 17.93/3.03 % (751994)Time elapsed: 0.168 s
% 17.93/3.03 % (751994)Peak memory usage: 12 MB
% 17.93/3.03 % (751994)Instructions burned: 381 (million)
% 17.93/3.03 % (752005)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=1768435311:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/464Mi)
% 17.93/3.03 % (752005)Refutation not found, incomplete strategy
% 17.93/3.03 % (752005)------------------------------
% 17.93/3.03 % (752005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (752005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (752005)CaDiCaL version: 2.1.3
% 17.93/3.03 % (752005)Termination reason: Refutation not found, incomplete strategy
% 17.93/3.03 % (752005)Time elapsed: 0.001 s
% 17.93/3.03 % (752005)Peak memory usage: 11 MB
% 17.93/3.03 % (752005)Instructions burned: 1 (million)
% 17.93/3.03 % (752005)------------------------------
% 17.93/3.03 % (752005)------------------------------
% 17.93/3.03 % (752009)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2525101563:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2975 on theBenchmark for (2975ds/280Mi)
% 17.93/3.03 % (751996)Instruction limit reached!
% 17.93/3.03 % (751996)------------------------------
% 17.93/3.03 % (751996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (751996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (751996)CaDiCaL version: 2.1.3
% 17.93/3.03 % (751996)Termination reason: Instruction limit
% 17.93/3.03 % (751996)Termination phase: Saturation
% 17.93/3.03 % (751996)Time elapsed: 0.124 s
% 17.93/3.03 % (751996)Peak memory usage: 12 MB
% 17.93/3.03 % (751996)Instructions burned: 325 (million)
% 17.93/3.03 % (752006)Instruction limit reached!
% 17.93/3.03 % (752006)------------------------------
% 17.93/3.03 % (752006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (752006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (752006)CaDiCaL version: 2.1.3
% 17.93/3.03 % (752006)Termination reason: Instruction limit
% 17.93/3.03 % (752006)Termination phase: Saturation
% 17.93/3.03 % (752006)Time elapsed: 0.022 s
% 17.93/3.03 % (752006)Peak memory usage: 12 MB
% 17.93/3.03 % (752006)Instructions burned: 91 (million)
% 17.93/3.03 % (752011)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 17.93/3.03 % (752011)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3278258044:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/4386Mi)
% 17.93/3.03 % (752014)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2917703963:i=73:rtra=on_2975 on theBenchmark for (2975ds/73Mi)
% 17.93/3.03 % (752014)Refutation not found, incomplete strategy
% 17.93/3.03 % (752014)------------------------------
% 17.93/3.03 % (752014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (752014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.93/3.03 % (752014)CaDiCaL version: 2.1.3
% 17.93/3.03 % (752014)Termination reason: Refutation not found, incomplete strategy
% 17.93/3.03 % (752014)Time elapsed: 0.0000 s
% 17.93/3.03 % (752014)Peak memory usage: 11 MB
% 17.93/3.03 % (752014)Instructions burned: 1 (million)
% 17.93/3.03 % (752014)------------------------------
% 17.93/3.03 % (752014)------------------------------
% 17.93/3.03 % (752013)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 17.93/3.03 % (752013)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 17.93/3.03 % (752013)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=1144649521: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)
% 17.93/3.03 % (752013)Refutation not found, incomplete strategy
% 17.93/3.03 % (752013)------------------------------
% 17.93/3.03 % (752013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.93/3.03 % (752013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.66/3.23 % (752013)CaDiCaL version: 2.1.3
% 20.66/3.23 % (752013)Termination reason: Refutation not found, incomplete strategy
% 20.66/3.23 % (752013)Time elapsed: 0.001 s
% 20.66/3.23 % (752013)Peak memory usage: 12 MB
% 20.66/3.23 % (752013)------------------------------
% 20.66/3.23 % (752013)------------------------------
% 20.66/3.23 % (752017)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=263542436:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2974 on theBenchmark for (2974ds/176Mi)
% 20.66/3.23 % (752019)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 20.66/3.23 % (752019)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=2307373379:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2974 on theBenchmark for (2974ds/39Mi)
% 20.66/3.23 % (752019)Instruction limit reached!
% 20.66/3.23 % (752019)------------------------------
% 20.66/3.23 % (752019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.66/3.23 % (752019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.66/3.23 % (752019)CaDiCaL version: 2.1.3
% 20.66/3.23 % (752019)Termination reason: Instruction limit
% 20.66/3.23 % (752019)Termination phase: Saturation
% 20.66/3.23 % (752019)Time elapsed: 0.020 s
% 20.66/3.23 % (752019)Peak memory usage: 12 MB
% 20.66/3.23 % (752019)Instructions burned: 39 (million)
% 20.66/3.23 % (752017)Instruction limit reached!
% 20.66/3.23 % (752017)------------------------------
% 20.66/3.23 % (752017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.66/3.23 % (752017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.66/3.23 % (752017)CaDiCaL version: 2.1.3
% 20.66/3.23 % (752017)Termination reason: Instruction limit
% 20.66/3.23 % (752017)Termination phase: Saturation
% 20.66/3.23 % (752017)Time elapsed: 0.042 s
% 20.66/3.23 % (752017)Peak memory usage: 12 MB
% 20.66/3.23 % (752017)Instructions burned: 180 (million)
% 20.66/3.23 % (752023)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
% 20.66/3.23 % (752023)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=3785195565:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/252Mi)
% 20.66/3.23 % (752022)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=329136860:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2974 on theBenchmark for (2974ds/708Mi)
% 20.66/3.23 % (752004)Instruction limit reached!
% 20.66/3.23 % (752004)------------------------------
% 20.66/3.23 % (752004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.66/3.23 % (752004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.66/3.23 % (752004)CaDiCaL version: 2.1.3
% 20.66/3.23 % (752004)Termination reason: Instruction limit
% 20.66/3.23 % (752004)Termination phase: Saturation
% 20.66/3.23 % (752004)Time elapsed: 0.128 s
% 20.66/3.23 % (752004)Peak memory usage: 12 MB
% 20.66/3.23 % (752004)Instructions burned: 283 (million)
% 20.66/3.23 % (752026)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=2920315385:i=823:fsr=off:rtra=on_2973 on theBenchmark for (2973ds/823Mi)
% 20.66/3.23 % (752023)Instruction limit reached!
% 20.66/3.23 % (752023)------------------------------
% 20.66/3.23 % (752023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.66/3.23 % (752023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.66/3.23 % (752023)CaDiCaL version: 2.1.3
% 20.66/3.23 % (752023)Termination reason: Instruction limit
% 20.66/3.23 % (752023)Termination phase: Saturation
% 20.66/3.23 % (752023)Time elapsed: 0.054 s
% 20.66/3.23 % (752023)Peak memory usage: 12 MB
% 20.66/3.23 % (752023)Instructions burned: 254 (million)
% 20.66/3.23 % (752028)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 20.66/3.23 % (752009)Instruction limit reached!
% 20.66/3.23 % (752009)------------------------------
% 20.66/3.23 % (752009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.66/3.23 % (752009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.66/3.23 % (752009)CaDiCaL version: 2.1.3
% 21.13/3.34 % (752009)Termination reason: Instruction limit
% 21.13/3.34 % (752009)Termination phase: Saturation
% 21.13/3.34 % (752009)Time elapsed: 0.138 s
% 21.13/3.34 % (752009)Peak memory usage: 12 MB
% 21.13/3.34 % (752009)Instructions burned: 280 (million)
% 21.13/3.34 % (752028)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=1189410496:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2973 on theBenchmark for (2973ds/16202Mi)
% 21.13/3.34 % (752028)Refutation not found, incomplete strategy
% 21.13/3.34 % (752028)------------------------------
% 21.13/3.34 % (752028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.13/3.34 % (752028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.13/3.34 % (752028)CaDiCaL version: 2.1.3
% 21.13/3.34 % (752028)Termination reason: Refutation not found, incomplete strategy
% 21.13/3.34 % (752028)Time elapsed: 0.0000 s
% 21.13/3.34 % (752028)Peak memory usage: 11 MB
% 21.13/3.34 % (752028)Instructions burned: 1 (million)
% 21.13/3.34 % (752028)------------------------------
% 21.13/3.34 % (752028)------------------------------
% 21.13/3.34 % (752031)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 21.13/3.34 % (752031)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 21.13/3.34 % (752031)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=1921469488:i=177:add=on:bd=preordered:rtra=on:rawr=on_2973 on theBenchmark for (2973ds/177Mi)
% 21.13/3.34 % (752029)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=2210890462:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/300Mi)
% 21.13/3.34 % (752031)Instruction limit reached!
% 21.13/3.34 % (752031)------------------------------
% 21.13/3.34 % (752031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.13/3.34 % (752031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.13/3.34 % (752031)CaDiCaL version: 2.1.3
% 21.13/3.34 % (752031)Termination reason: Instruction limit
% 21.13/3.34 % (752031)Termination phase: Saturation
% 21.13/3.34 % (752031)Time elapsed: 0.044 s
% 21.13/3.34 % (752031)Peak memory usage: 12 MB
% 21.13/3.34 % (752031)Instructions burned: 178 (million)
% 21.13/3.34 % (752034)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=2979843379:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2973 on theBenchmark for (2973ds/715Mi)
% 21.13/3.34 % (752034)Refutation not found, incomplete strategy
% 21.13/3.34 % (752034)------------------------------
% 21.13/3.34 % (752034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.13/3.34 % (752034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.13/3.34 % (752034)CaDiCaL version: 2.1.3
% 21.13/3.34 % (752034)Termination reason: Refutation not found, incomplete strategy
% 21.13/3.34 % (752034)Time elapsed: 0.0000 s
% 21.13/3.34 % (752034)Peak memory usage: 11 MB
% 21.13/3.34 % (752034)Instructions burned: 2 (million)
% 21.13/3.34 % (752034)------------------------------
% 21.13/3.34 % (752034)------------------------------
% 21.13/3.34 % (752036)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 21.13/3.34 % (752036)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 21.13/3.34 % (752036)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=495036637:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2972 on theBenchmark for (2972ds/230Mi)
% 21.13/3.34 % (752036)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 21.13/3.34 % (752036)Instruction limit reached!
% 21.13/3.34 % (752036)------------------------------
% 21.13/3.34 % (752036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.13/3.34 % (752036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.13/3.34 % (752036)CaDiCaL version: 2.1.3
% 21.13/3.34 % (752036)Termination reason: Instruction limit
% 21.13/3.34 % (752036)Termination phase: Saturation
% 21.13/3.34 % (752036)Time elapsed: 0.057 s
% 21.13/3.34 % (752036)Peak memory usage: 13 MB
% 21.13/3.34 % (752036)Instructions burned: 233 (million)
% 21.89/3.40 % (752038)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3907543289:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2972 on theBenchmark for (2972ds/606Mi)
% 21.89/3.40 % (752029)Instruction limit reached!
% 21.89/3.40 % (752029)------------------------------
% 21.89/3.40 % (752029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.40 % (752029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/3.40 % (752029)CaDiCaL version: 2.1.3
% 21.89/3.40 % (752029)Termination reason: Instruction limit
% 21.89/3.40 % (752029)Termination phase: Saturation
% 21.89/3.40 % (752029)Time elapsed: 0.132 s
% 21.89/3.40 % (752029)Peak memory usage: 12 MB
% 21.89/3.40 % (752029)Instructions burned: 300 (million)
% 21.89/3.40 % (752040)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 21.89/3.40 % (752040)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=3695571782:lrd=on:i=841:nm=0:rtra=on_2972 on theBenchmark for (2972ds/841Mi)
% 21.89/3.40 % (752022)Instruction limit reached!
% 21.89/3.40 % (752022)------------------------------
% 21.89/3.40 % (752022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.40 % (752022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/3.40 % (752022)CaDiCaL version: 2.1.3
% 21.89/3.40 % (752022)Termination reason: Instruction limit
% 21.89/3.40 % (752022)Termination phase: Saturation
% 21.89/3.40 % (752022)Time elapsed: 0.249 s
% 21.89/3.40 % (752022)Peak memory usage: 13 MB
% 21.89/3.40 % (752022)Instructions burned: 709 (million)
% 21.89/3.40 % (752042)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1824732783:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2971 on theBenchmark for (2971ds/445Mi)
% 21.89/3.40 % (752038)Instruction limit reached!
% 21.89/3.40 % (752038)------------------------------
% 21.89/3.40 % (752038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.40 % (752038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/3.40 % (752038)CaDiCaL version: 2.1.3
% 21.89/3.40 % (752038)Termination reason: Instruction limit
% 21.89/3.40 % (752038)Termination phase: Saturation
% 21.89/3.40 % (752038)Time elapsed: 0.149 s
% 21.89/3.40 % (752038)Peak memory usage: 13 MB
% 21.89/3.40 % (752038)Instructions burned: 608 (million)
% 21.89/3.40 % (752044)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1072397329:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2970 on theBenchmark for (2970ds/71Mi)
% 21.89/3.40 % (752026)Instruction limit reached!
% 21.89/3.40 % (752026)------------------------------
% 21.89/3.40 % (752026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.40 % (752026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/3.40 % (752026)CaDiCaL version: 2.1.3
% 21.89/3.40 % (752026)Termination reason: Instruction limit
% 21.89/3.40 % (752026)Termination phase: Saturation
% 21.89/3.40 % (752026)Time elapsed: 0.343 s
% 21.89/3.40 % (752026)Peak memory usage: 13 MB
% 21.89/3.40 % (752026)Instructions burned: 823 (million)
% 21.89/3.40 % (752044)Instruction limit reached!
% 21.89/3.40 % (752044)------------------------------
% 21.89/3.40 % (752044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.40 % (752044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.89/3.40 % (752044)CaDiCaL version: 2.1.3
% 21.89/3.40 % (752044)Termination reason: Instruction limit
% 21.89/3.40 % (752044)Termination phase: Saturation
% 21.89/3.40 % (752044)Time elapsed: 0.020 s
% 21.89/3.40 % (752044)Peak memory usage: 12 MB
% 21.89/3.40 % (752044)Instructions burned: 72 (million)
% 21.89/3.40 % (752047)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 21.89/3.40 % (752047)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=1458471885:i=1352:add=on:aac=none:rtra=on_2970 on theBenchmark for (2970ds/1352Mi)
% 21.89/3.40 % (752047)Refutation not found, incomplete strategy
% 21.89/3.40 % (752047)------------------------------
% 21.89/3.40 % (752047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.89/3.40 % (752047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/3.58 % (752047)CaDiCaL version: 2.1.3
% 22.70/3.58 % (752047)Termination reason: Refutation not found, incomplete strategy
% 22.70/3.58 % (752047)Time elapsed: 0.001 s
% 22.70/3.58 % (752047)Peak memory usage: 11 MB
% 22.70/3.58 % (752047)Instructions burned: 3 (million)
% 22.70/3.58 % (752047)------------------------------
% 22.70/3.58 % (752047)------------------------------
% 22.70/3.58 % (752046)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
% 22.70/3.58 % (752046)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 22.70/3.58 % (752046)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3969838253:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2970 on theBenchmark for (2970ds/100Mi)
% 22.70/3.58 % (752049)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=4239879140:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2970 on theBenchmark for (2970ds/646Mi)
% 22.70/3.58 % (752046)Instruction limit reached!
% 22.70/3.58 % (752046)------------------------------
% 22.70/3.58 % (752046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.70/3.58 % (752046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/3.58 % (752046)CaDiCaL version: 2.1.3
% 22.70/3.58 % (752046)Termination reason: Instruction limit
% 22.70/3.58 % (752046)Termination phase: Saturation
% 22.70/3.58 % (752046)Time elapsed: 0.046 s
% 22.70/3.58 % (752046)Peak memory usage: 12 MB
% 22.70/3.58 % (752046)Instructions burned: 100 (million)
% 22.70/3.58 % (752052)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=586672319:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2969 on theBenchmark for (2969ds/1924Mi)
% 22.70/3.58 % (752052)Refutation not found, incomplete strategy
% 22.70/3.58 % (752052)------------------------------
% 22.70/3.58 % (752052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.70/3.58 % (752052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/3.58 % (752052)CaDiCaL version: 2.1.3
% 22.70/3.58 % (752052)Termination reason: Refutation not found, incomplete strategy
% 22.70/3.58 % (752052)Time elapsed: 0.001 s
% 22.70/3.58 % (752052)Peak memory usage: 11 MB
% 22.70/3.58 % (752052)------------------------------
% 22.70/3.58 % (752052)------------------------------
% 22.70/3.58 % (752054)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1904246560:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2969 on theBenchmark for (2969ds/984Mi)
% 22.70/3.58 % (752042)Instruction limit reached!
% 22.70/3.58 % (752042)------------------------------
% 22.70/3.58 % (752042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.70/3.58 % (752042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/3.58 % (752042)CaDiCaL version: 2.1.3
% 22.70/3.58 % (752042)Termination reason: Instruction limit
% 22.70/3.58 % (752042)Termination phase: Saturation
% 22.70/3.58 % (752042)Time elapsed: 0.223 s
% 22.70/3.58 % (752042)Peak memory usage: 14 MB
% 22.70/3.58 % (752042)Instructions burned: 447 (million)
% 22.70/3.58 % (752054)Refutation not found, incomplete strategy
% 22.70/3.58 % (752054)------------------------------
% 22.70/3.58 % (752054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.70/3.58 % (752054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.70/3.58 % (752054)CaDiCaL version: 2.1.3
% 22.70/3.58 % (752054)Termination reason: Refutation not found, incomplete strategy
% 22.70/3.58 % (752054)Time elapsed: 0.001 s
% 22.70/3.58 % (752054)Peak memory usage: 11 MB
% 22.70/3.58 % (752054)Instructions burned: 1 (million)
% 22.70/3.58 % (752054)------------------------------
% 22.70/3.58 % (752054)------------------------------
% 22.70/3.58 % (752056)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=1136915306:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2969 on theBenchmark for (2969ds/592Mi)
% 22.70/3.58 % (752057)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=159222150:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2969 on theBenchmark for (2969ds/872Mi)
% 22.70/3.58 % (752057)Refutation not found, incomplete strategy
% 22.70/3.58 % (752057)------------------------------
% 24.02/3.82 % (752057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.02/3.82 % (752057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.02/3.82 % (752057)CaDiCaL version: 2.1.3
% 24.02/3.82 % (752057)Termination reason: Refutation not found, incomplete strategy
% 24.02/3.82 % (752057)Time elapsed: 0.001 s
% 24.02/3.82 % (752057)Peak memory usage: 11 MB
% 24.02/3.82 % (752057)------------------------------
% 24.02/3.82 % (752057)------------------------------
% 24.02/3.82 % (752049)Instruction limit reached!
% 24.02/3.82 % (752049)------------------------------
% 24.02/3.82 % (752049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.02/3.82 % (752049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.02/3.82 % (752049)CaDiCaL version: 2.1.3
% 24.02/3.82 % (752049)Termination reason: Instruction limit
% 24.02/3.82 % (752049)Termination phase: Saturation
% 24.02/3.82 % (752049)Time elapsed: 0.118 s
% 24.02/3.82 % (752049)Peak memory usage: 14 MB
% 24.02/3.82 % (752049)Instructions burned: 647 (million)
% 24.02/3.82 % (752060)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 24.02/3.82 % (752060)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=1822986771:i=999:add=on:rtra=on_2969 on theBenchmark for (2969ds/999Mi)
% 24.02/3.82 % (752061)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 24.02/3.82 % (752061)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=3593521400:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2968 on theBenchmark for (2968ds/244Mi)
% 24.02/3.82 % (752061)Refutation not found, incomplete strategy
% 24.02/3.82 % (752061)------------------------------
% 24.02/3.82 % (752061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.02/3.82 % (752061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.02/3.82 % (752061)CaDiCaL version: 2.1.3
% 24.02/3.82 % (752061)Termination reason: Refutation not found, incomplete strategy
% 24.02/3.82 % (752061)Time elapsed: 0.001 s
% 24.02/3.82 % (752061)Peak memory usage: 11 MB
% 24.02/3.82 % (752061)Instructions burned: 2 (million)
% 24.02/3.82 % (752061)------------------------------
% 24.02/3.82 % (752061)------------------------------
% 24.02/3.82 % (752064)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=163627615:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2968 on theBenchmark for (2968ds/113Mi)
% 24.02/3.82 % (752064)Refutation not found, incomplete strategy
% 24.02/3.82 % (752064)------------------------------
% 24.02/3.82 % (752064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.02/3.82 % (752064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.02/3.82 % (752064)CaDiCaL version: 2.1.3
% 24.02/3.82 % (752064)Termination reason: Refutation not found, incomplete strategy
% 24.02/3.82 % (752064)Time elapsed: 0.0000 s
% 24.02/3.82 % (752064)Peak memory usage: 11 MB
% 24.02/3.82 % (752064)Instructions burned: 1 (million)
% 24.02/3.82 % (752064)------------------------------
% 24.02/3.82 % (752064)------------------------------
% 24.02/3.82 % (752066)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=601622130:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/7795Mi)
% 24.02/3.82 % (752066)Refutation not found, incomplete strategy
% 24.02/3.82 % (752066)------------------------------
% 24.02/3.82 % (752066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.02/3.82 % (752066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.02/3.82 % (752066)CaDiCaL version: 2.1.3
% 24.02/3.82 % (752066)Termination reason: Refutation not found, incomplete strategy
% 24.02/3.82 % (752066)Time elapsed: 0.0000 s
% 24.02/3.82 % (752066)Peak memory usage: 11 MB
% 24.02/3.82 % (752066)------------------------------
% 24.02/3.82 % (752066)------------------------------
% 24.02/3.82 % (752068)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1284255300:st=2:i=5026:sd=1:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/5026Mi)
% 24.02/3.82 % (752068)Refutation not found, incomplete strategy
% 24.02/3.82 % (752068)------------------------------
% 24.02/3.82 % (752068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.07/3.96 % (752068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.07/3.96 % (752068)CaDiCaL version: 2.1.3
% 25.07/3.96 % (752068)Termination reason: Refutation not found, incomplete strategy
% 25.07/3.96 % (752068)Time elapsed: 0.0000 s
% 25.07/3.96 % (752068)Peak memory usage: 11 MB
% 25.07/3.96 % (752068)------------------------------
% 25.07/3.96 % (752068)------------------------------
% 25.07/3.96 % (752070)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 25.07/3.96 % (752070)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=1760864698:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2968 on theBenchmark for (2968ds/763Mi)
% 25.07/3.96 % (752070)Refutation not found, incomplete strategy
% 25.07/3.96 % (752070)------------------------------
% 25.07/3.96 % (752070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.07/3.96 % (752070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.07/3.96 % (752070)CaDiCaL version: 2.1.3
% 25.07/3.96 % (752070)Termination reason: Refutation not found, incomplete strategy
% 25.07/3.96 % (752070)Time elapsed: 0.0000 s
% 25.07/3.96 % (752070)Peak memory usage: 11 MB
% 25.07/3.96 % (752070)Instructions burned: 1 (million)
% 25.07/3.96 % (752070)------------------------------
% 25.07/3.96 % (752070)------------------------------
% 25.07/3.96 % (752072)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=345939916:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2968 on theBenchmark for (2968ds/1144Mi)
% 25.07/3.96 % (752072)Refutation not found, incomplete strategy
% 25.07/3.96 % (752072)------------------------------
% 25.07/3.96 % (752072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.07/3.96 % (752072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.07/3.96 % (752072)CaDiCaL version: 2.1.3
% 25.07/3.96 % (752072)Termination reason: Refutation not found, incomplete strategy
% 25.07/3.96 % (752072)Time elapsed: 0.0000 s
% 25.07/3.96 % (752072)Peak memory usage: 11 MB
% 25.07/3.96 % (752072)------------------------------
% 25.07/3.96 % (752072)------------------------------
% 25.07/3.96 % (752040)Instruction limit reached!
% 25.07/3.96 % (752040)------------------------------
% 25.07/3.96 % (752040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.07/3.96 % (752040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.07/3.96 % (752040)CaDiCaL version: 2.1.3
% 25.07/3.96 % (752040)Termination reason: Instruction limit
% 25.07/3.96 % (752040)Termination phase: Saturation
% 25.07/3.96 % (752040)Time elapsed: 0.381 s
% 25.07/3.96 % (752040)Peak memory usage: 13 MB
% 25.07/3.96 % (752040)Instructions burned: 842 (million)
% 25.07/3.96 % (752074)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 25.07/3.96 % (752074)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=4144134705:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2968 on theBenchmark for (2968ds/52Mi)
% 25.07/3.96 % (752075)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=1910159761:i=1724:fsr=off:rtra=on:fe=abstraction_2968 on theBenchmark for (2968ds/1724Mi)
% 25.07/3.96 % (752074)Instruction limit reached!
% 25.07/3.96 % (752074)------------------------------
% 25.07/3.96 % (752074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.07/3.96 % (752074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.07/3.96 % (752074)CaDiCaL version: 2.1.3
% 25.07/3.96 % (752074)Termination reason: Instruction limit
% 25.07/3.96 % (752074)Termination phase: Saturation
% 25.07/3.96 % (752074)Time elapsed: 0.022 s
% 25.07/3.96 % (752074)Peak memory usage: 12 MB
% 25.07/3.96 % (752074)Instructions burned: 52 (million)
% 25.07/3.96 % (752078)dis-1004_128_to=kbo:sil=128000:tgt=full:si=on:fdtod=off:sp=const_frequency:spb=goal:uwa=off:slsqc=3:slsq=on:random_seed=368336401:i=439:add=on:slsql=off:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/439Mi)
% 25.07/3.96 % (752078)Instruction limit reached!
% 25.07/3.96 % (752078)------------------------------
% 25.07/3.96 % (752078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.07/3.96 % (752078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.21 % (752078)CaDiCaL version: 2.1.3
% 27.90/4.21 % (752078)Termination reason: Instruction limit
% 27.90/4.21 % (752078)Termination phase: Saturation
% 27.90/4.21 % (752078)Time elapsed: 0.086 s
% 27.90/4.21 % (752078)Peak memory usage: 12 MB
% 27.90/4.21 % (752078)Instructions burned: 439 (million)
% 27.90/4.21 % (752056)Instruction limit reached!
% 27.90/4.21 % (752056)------------------------------
% 27.90/4.21 % (752056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.90/4.21 % (752056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.21 % (752056)CaDiCaL version: 2.1.3
% 27.90/4.21 % (752056)Termination reason: Instruction limit
% 27.90/4.21 % (752056)Termination phase: Saturation
% 27.90/4.21 % (752056)Time elapsed: 0.256 s
% 27.90/4.21 % (752056)Peak memory usage: 12 MB
% 27.90/4.21 % (752056)Instructions burned: 594 (million)
% 27.90/4.21 % (752080)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3963429052:i=6395:sd=1:rtra=on:ss=axioms_2966 on theBenchmark for (2966ds/6395Mi)
% 27.90/4.21 % (752080)Refutation not found, incomplete strategy
% 27.90/4.21 % (752080)------------------------------
% 27.90/4.21 % (752080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.90/4.21 % (752080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.21 % (752080)CaDiCaL version: 2.1.3
% 27.90/4.21 % (752080)Termination reason: Refutation not found, incomplete strategy
% 27.90/4.21 % (752080)Time elapsed: 0.001 s
% 27.90/4.21 % (752080)Peak memory usage: 11 MB
% 27.90/4.21 % (752080)------------------------------
% 27.90/4.21 % (752080)------------------------------
% 27.90/4.21 % (752081)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 27.90/4.21 % (752081)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=879186009:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2966 on theBenchmark for (2966ds/6762Mi)
% 27.90/4.21 % (752081)Refutation not found, incomplete strategy
% 27.90/4.21 % (752081)------------------------------
% 27.90/4.21 % (752081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.90/4.21 % (752081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.21 % (752081)CaDiCaL version: 2.1.3
% 27.90/4.21 % (752081)Termination reason: Refutation not found, incomplete strategy
% 27.90/4.21 % (752081)Time elapsed: 0.0000 s
% 27.90/4.21 % (752081)Peak memory usage: 11 MB
% 27.90/4.21 % (752081)------------------------------
% 27.90/4.21 % (752081)------------------------------
% 27.90/4.21 % (752083)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 27.90/4.21 % (752083)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=756866709:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2966 on theBenchmark for (2966ds/376Mi)
% 27.90/4.21 % (752085)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=3250435147:i=965:bd=all:ins=4:rtra=on_2966 on theBenchmark for (2966ds/965Mi)
% 27.90/4.21 % (752060)Instruction limit reached!
% 27.90/4.21 % (752060)------------------------------
% 27.90/4.21 % (752060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.90/4.21 % (752060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.21 % (752060)CaDiCaL version: 2.1.3
% 27.90/4.21 % (752060)Termination reason: Instruction limit
% 27.90/4.21 % (752060)Termination phase: Saturation
% 27.90/4.21 % (752060)Time elapsed: 0.442 s
% 27.90/4.21 % (752060)Peak memory usage: 14 MB
% 27.90/4.21 % (752060)Instructions burned: 999 (million)
% 27.90/4.21 % (752083)Instruction limit reached!
% 27.90/4.21 % (752083)------------------------------
% 27.90/4.21 % (752083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.90/4.21 % (752083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.21 % (752083)CaDiCaL version: 2.1.3
% 27.90/4.21 % (752083)Termination reason: Instruction limit
% 27.90/4.21 % (752083)Termination phase: Saturation
% 27.90/4.21 % (752083)Time elapsed: 0.186 s
% 27.90/4.21 % (752083)Peak memory usage: 14 MB
% 27.90/4.21 % (752083)Instructions burned: 378 (million)
% 27.90/4.21 % (752089)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=3103981896:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2964 on theBenchmark for (2964ds/1583Mi)
% 28.64/4.49 % (752088)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2893542997:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2964 on theBenchmark for (2964ds/5013Mi)
% 28.64/4.49 % (752088)Refutation not found, incomplete strategy
% 28.64/4.49 % (752088)------------------------------
% 28.64/4.49 % (752088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.64/4.49 % (752088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.64/4.49 % (752088)CaDiCaL version: 2.1.3
% 28.64/4.49 % (752088)Termination reason: Refutation not found, incomplete strategy
% 28.64/4.49 % (752088)Time elapsed: 0.001 s
% 28.64/4.49 % (752088)Peak memory usage: 11 MB
% 28.64/4.49 % (752088)------------------------------
% 28.64/4.49 % (752088)------------------------------
% 28.64/4.49 % (752092)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 28.64/4.49 % (752092)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 28.64/4.49 % (752092)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 28.64/4.49 % (752092)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 28.64/4.49 % (752092)ott+1002_1_slsqr=1,32:sil=128000:fde=none:e2e=on:hsqc=2:si=on:sp=const_min:sos=on:uwa=interpreted_only:s2agt=16:chr=on:random_seed=264192052:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_2964 on theBenchmark for (2964ds/1774Mi)
% 28.64/4.49 % (752092)Refutation not found, incomplete strategy
% 28.64/4.49 % (752092)------------------------------
% 28.64/4.49 % (752092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.64/4.49 % (752092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.64/4.49 % (752092)CaDiCaL version: 2.1.3
% 28.64/4.49 % (752092)Termination reason: Refutation not found, incomplete strategy
% 28.64/4.49 % (752092)Time elapsed: 0.0000 s
% 28.64/4.49 % (752092)Peak memory usage: 11 MB
% 28.64/4.49 % (752092)------------------------------
% 28.64/4.49 % (752092)------------------------------
% 28.64/4.49 % (752094)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=378655018:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2964 on theBenchmark for (2964ds/515Mi)
% 28.64/4.49 % (752094)Refutation not found, incomplete strategy
% 28.64/4.49 % (752094)------------------------------
% 28.64/4.49 % (752094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.64/4.49 % (752094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.64/4.49 % (752094)CaDiCaL version: 2.1.3
% 28.64/4.49 % (752094)Termination reason: Refutation not found, incomplete strategy
% 28.64/4.49 % (752094)Time elapsed: 0.001 s
% 28.64/4.49 % (752094)Peak memory usage: 12 MB
% 28.64/4.49 % (752094)------------------------------
% 28.64/4.49 % (752094)------------------------------
% 28.64/4.49 % (752096)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 28.64/4.49 % (752096)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=2346346791:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2963 on theBenchmark for (2963ds/1297Mi)
% 28.64/4.49 % (751827)Instruction limit reached!
% 28.64/4.49 % (751827)------------------------------
% 28.64/4.49 % (751827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.64/4.49 % (751827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.64/4.49 % (751827)CaDiCaL version: 2.1.3
% 28.64/4.49 % (751827)Termination reason: Instruction limit
% 28.64/4.49 % (751827)Termination phase: Saturation
% 28.64/4.49 % (751827)Time elapsed: 3.094 s
% 28.64/4.49 % (751827)Peak memory usage: 17 MB
% 28.64/4.49 % (751827)Instructions burned: 9843 (million)
% 28.64/4.49 % (752098)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=3741829782:s2a=on:i=611:rtra=on:gsp=on_2963 on theBenchmark for (2963ds/611Mi)
% 28.64/4.49 % (752098)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 29.62/4.63 % (752085)Instruction limit reached!
% 29.62/4.63 % (752085)------------------------------
% 29.62/4.63 % (752085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.62/4.63 % (752085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.62/4.63 % (752085)CaDiCaL version: 2.1.3
% 29.62/4.63 % (752085)Termination reason: Instruction limit
% 29.62/4.63 % (752085)Termination phase: Saturation
% 29.62/4.63 % (752085)Time elapsed: 0.393 s
% 29.62/4.63 % (752085)Peak memory usage: 15 MB
% 29.62/4.63 % (752085)Instructions burned: 965 (million)
% 29.62/4.63 % (752100)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 29.62/4.63 % (752100)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3858693041:i=72:bd=all:rtra=on_2962 on theBenchmark for (2962ds/72Mi)
% 29.62/4.63 % (752100)Refutation not found, incomplete strategy
% 29.62/4.63 % (752100)------------------------------
% 29.62/4.63 % (752100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.62/4.63 % (752100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.62/4.63 % (752100)CaDiCaL version: 2.1.3
% 29.62/4.63 % (752100)Termination reason: Refutation not found, incomplete strategy
% 29.62/4.63 % (752100)Time elapsed: 0.001 s
% 29.62/4.63 % (752100)Peak memory usage: 12 MB
% 29.62/4.63 % (752100)Instructions burned: 1 (million)
% 29.62/4.63 % (752100)------------------------------
% 29.62/4.63 % (752100)------------------------------
% 29.62/4.63 % (752102)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=1766263349:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2961 on theBenchmark for (2961ds/6580Mi)
% 29.62/4.63 % (752089)Instruction limit reached!
% 29.62/4.63 % (752089)------------------------------
% 29.62/4.63 % (752089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.62/4.63 % (752089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.62/4.63 % (752089)CaDiCaL version: 2.1.3
% 29.62/4.63 % (752089)Termination reason: Instruction limit
% 29.62/4.63 % (752089)Termination phase: Saturation
% 29.62/4.63 % (752089)Time elapsed: 0.361 s
% 29.62/4.63 % (752089)Peak memory usage: 13 MB
% 29.62/4.63 % (752089)Instructions burned: 1587 (million)
% 29.62/4.63 % (752098)Instruction limit reached!
% 29.62/4.63 % (752098)------------------------------
% 29.62/4.63 % (752098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.62/4.63 % (752098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.62/4.63 % (752098)CaDiCaL version: 2.1.3
% 29.62/4.63 % (752098)Termination reason: Instruction limit
% 29.62/4.63 % (752098)Termination phase: Saturation
% 29.62/4.63 % (752098)Time elapsed: 0.226 s
% 29.62/4.63 % (752098)Peak memory usage: 12 MB
% 29.62/4.63 % (752098)Instructions burned: 612 (million)
% 29.62/4.63 % (752104)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=3140208482:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2960 on theBenchmark for (2960ds/6209Mi)
% 29.62/4.63 % (752104)Refutation not found, incomplete strategy
% 29.62/4.63 % (752104)------------------------------
% 29.62/4.63 % (752104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.62/4.63 % (752104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.62/4.63 % (752104)CaDiCaL version: 2.1.3
% 29.62/4.63 % (752104)Termination reason: Refutation not found, incomplete strategy
% 29.62/4.63 % (752104)Time elapsed: 0.0000 s
% 29.62/4.63 % (752104)Peak memory usage: 11 MB
% 29.62/4.63 % (752104)------------------------------
% 29.62/4.63 % (752104)------------------------------
% 29.62/4.63 % (752107)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 29.62/4.63 % (752107)ott+1002_16_sil=128000:si=on:random_seed=530152961:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2960 on theBenchmark for (2960ds/409Mi)
% 29.62/4.63 % (752075)Instruction limit reached!
% 29.62/4.63 % (752075)------------------------------
% 29.62/4.63 % (752075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.62/4.63 % (752075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.62/4.63 % (752075)CaDiCaL version: 2.1.3
% 29.62/4.63 % (752075)Termination reason: Instruction limit
% 29.62/4.63 % (752075)Termination phase: Saturation
% 30.37/4.72 % (752075)Time elapsed: 0.745 s
% 30.37/4.72 % (752075)Peak memory usage: 13 MB
% 30.37/4.72 % (752075)Instructions burned: 1725 (million)
% 30.37/4.72 % (752105)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=4070132105:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2960 on theBenchmark for (2960ds/1003Mi)
% 30.37/4.72 % (752109)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=592154486:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2960 on theBenchmark for (2960ds/403Mi)
% 30.37/4.72 % (752109)Refutation not found, incomplete strategy
% 30.37/4.72 % (752109)------------------------------
% 30.37/4.72 % (752109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.37/4.72 % (752109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.37/4.72 % (752109)CaDiCaL version: 2.1.3
% 30.37/4.72 % (752109)Termination reason: Refutation not found, incomplete strategy
% 30.37/4.72 % (752109)Time elapsed: 0.001 s
% 30.37/4.72 % (752109)Peak memory usage: 11 MB
% 30.37/4.72 % (752109)Instructions burned: 1 (million)
% 30.37/4.72 % (752109)------------------------------
% 30.37/4.72 % (752109)------------------------------
% 30.37/4.72 % (752112)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=2763944224:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2960 on theBenchmark for (2960ds/6843Mi)
% 30.37/4.72 % (752112)Refutation not found, incomplete strategy
% 30.37/4.72 % (752112)------------------------------
% 30.37/4.72 % (752112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.37/4.72 % (752112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.37/4.72 % (752112)CaDiCaL version: 2.1.3
% 30.37/4.72 % (752112)Termination reason: Refutation not found, incomplete strategy
% 30.37/4.72 % (752112)Time elapsed: 0.001 s
% 30.37/4.72 % (752112)Peak memory usage: 11 MB
% 30.37/4.72 % (752112)Instructions burned: 1 (million)
% 30.37/4.72 % (752112)------------------------------
% 30.37/4.72 % (752112)------------------------------
% 30.37/4.72 % (752114)lrs+10_2:1_si=on:random_seed=2005893086:s2a=on:i=506:rtra=on:fe=abstraction_2960 on theBenchmark for (2960ds/506Mi)
% 30.37/4.72 % (752107)Instruction limit reached!
% 30.37/4.72 % (752107)------------------------------
% 30.37/4.72 % (752107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.37/4.72 % (752107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.37/4.72 % (752107)CaDiCaL version: 2.1.3
% 30.37/4.72 % (752107)Termination reason: Instruction limit
% 30.37/4.72 % (752107)Termination phase: Saturation
% 30.37/4.72 % (752107)Time elapsed: 0.082 s
% 30.37/4.72 % (752107)Peak memory usage: 13 MB
% 30.37/4.72 % (752107)Instructions burned: 410 (million)
% 30.37/4.72 % (752116)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=4201051383:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2959 on theBenchmark for (2959ds/888Mi)
% 30.37/4.72 % (752096)Instruction limit reached!
% 30.37/4.72 % (752096)------------------------------
% 30.37/4.72 % (752096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.37/4.72 % (752096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.37/4.72 % (752096)CaDiCaL version: 2.1.3
% 30.37/4.72 % (752096)Termination reason: Instruction limit
% 30.37/4.72 % (752096)Termination phase: Saturation
% 30.37/4.72 % (752096)Time elapsed: 0.514 s
% 30.37/4.72 % (752096)Peak memory usage: 13 MB
% 30.37/4.72 % (752096)Instructions burned: 1300 (million)
% 30.37/4.72 % (752118)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 30.37/4.72 % (752118)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=1448053203:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2958 on theBenchmark for (2958ds/416Mi)
% 30.37/4.72 % (752116)Instruction limit reached!
% 30.37/4.72 % (752116)------------------------------
% 30.37/4.72 % (752116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.37/4.72 % (752116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.37/4.72 % (752116)CaDiCaL version: 2.1.3
% 30.37/4.72 % (752116)Termination reason: Instruction limit
% 30.37/4.72 % (752116)Termination phase: Saturation
% 30.37/4.72 % (752116)Time elapsed: 0.188 s
% 30.37/4.72 % (752116)Peak memory usage: 12 MB
% 30.37/4.72 % (752116)Instructions burned: 889 (million)
% 30.37/4.72 % (752114)Instruction limit reached!
% 30.37/4.72 % (752114)------------------------------
% 30.37/4.72 % (752114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.37/4.72 % (752114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.37/4.72 % (752114)CaDiCaL version: 2.1.3
% 30.37/4.72 % (752114)Termination reason: Instruction limit
% 30.37/4.72 % (752114)Termination phase: Saturation
% 30.37/4.72 % (752114)Time elapsed: 0.224 s
% 30.37/4.72 % (752114)Peak memory usage: 12 MB
% 30.37/4.72 % (752114)Instructions burned: 508 (million)
% 30.37/4.72 % (752120)dis+10_3:2_sfv=off:to=kbo:plsq=on:fde=unused:e2e=on:si=on:sp=reverse_frequency:acc=on:uwa=off:fd=preordered:slsqc=1:pe=on:slsq=on:random_seed=3344050012:hsq=on:hsqr=16,1:avsq=on:s2a=on:i=13534:hsql=off:nm=16:nicw=on:ins=20:rtra=on:ss=axioms:ntd=on_2957 on theBenchmark for (2957ds/13534Mi)
% 30.37/4.72 % (752120)Refutation not found, incomplete strategy
% 30.37/4.72 % (752120)------------------------------
% 30.37/4.72 % (752120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.37/4.72 % (752120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.37/4.72 % (752120)CaDiCaL version: 2.1.3
% 30.37/4.72 % (752120)Termination reason: Refutation not found, incomplete strategy
% 30.37/4.72 % (752120)Time elapsed: 0.001 s
% 30.37/4.72 % (752120)Peak memory usage: 11 MB
% 30.37/4.72 % (752120)------------------------------
% 30.37/4.72 % (752120)------------------------------
% 30.37/4.72 % (752121)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 30.37/4.72 % (752121)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=589153720:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2957 on theBenchmark for (2957ds/206Mi)
% 30.37/4.72 % (752123)dis+1010_1_sfv=off:slsqr=2,1:to=kbo:plsq=on:cnfonf=lazy_simp:si=on:cbe=off:uwa=hol:nwc=2:s2agt=16:slsq=on:random_seed=3487369568:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2957 on theBenchmark for (2957ds/2295Mi)
% 30.37/4.72 % (752011)Instruction limit reached!
% 30.37/4.72 % (752011)------------------------------
% 30.37/4.72 % (752011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.37/4.72 % (752011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.37/4.72 % (752011)CaDiCaL version: 2.1.3
% 30.37/4.72 % (752011)Termination reason: Instruction limit
% 30.37/4.72 % (752011)Termination phase: Saturation
% 30.37/4.72 % (752011)Time elapsed: 1.801 s
% 30.37/4.72 % (752011)Peak memory usage: 16 MB
% 30.37/4.72 % (752011)Instructions burned: 4388 (million)
% 30.37/4.72 % (752126)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=2242904930:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2956 on theBenchmark for (2956ds/637Mi)
% 30.37/4.72 % (752121)Instruction limit reached!
% 30.37/4.72 % (752121)------------------------------
% 30.37/4.72 % (752121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.37/4.72 % (752121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.37/4.72 % (752121)CaDiCaL version: 2.1.3
% 30.37/4.72 % (752121)Termination reason: Instruction limit
% 30.37/4.72 % (752121)Termination phase: Saturation
% 30.37/4.72 % (752121)Time elapsed: 0.077 s
% 30.37/4.72 % (752121)Peak memory usage: 12 MB
% 30.37/4.72 % (752121)Instructions burned: 209 (million)
% 30.37/4.72 % (752128)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=3396892757:hsq=on:i=667:rtra=on:ixr=off_2956 on theBenchmark for (2956ds/667Mi)
% 30.37/4.72 % (752105)Instruction limit reached!
% 30.37/4.72 % (752105)------------------------------
% 30.37/4.72 % (752105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.37/4.72 % (752105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.37/4.72 % (752105)CaDiCaL version: 2.1.3
% 30.37/4.72 % (752105)Termination reason: Instruction limit
% 30.37/4.72 % (752105)Termination phase: Saturation
% 30.37/4.72 % (752105)Time elapsed: 0.405 s
% 30.37/4.72 % (752105)Peak memory usage: 13 MB
% 30.37/4.72 % (752105)Instructions burned: 1004 (million)
% 30.37/4.72 % (752118)Instruction limit reached!
% 30.37/4.72 % (752118)------------------------------
% 30.37/4.72 % (752118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.37/4.72 % (752118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.37/4.72 % (752118)CaDiCaL version: 2.1.3
% 30.37/4.72 % (752118)Termination reason: Instruction limit
% 30.37/4.72 % (752118)Termination phase: Saturation
% 30.37/4.72 % (752118)Time elapsed: 0.204 s
% 30.37/4.72 % (752118)Peak memory usage: 13 MB
% 30.37/4.72 % (752118)Instructions burned: 417 (million)
% 30.37/4.72 % (752130)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=2998884942:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2956 on theBenchmark for (2956ds/1801Mi)
% 30.37/4.72 % (752131)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=2932803615:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2956 on theBenchmark for (2956ds/555Mi)
% 30.37/4.72 % (751978) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-751657-751978"...
% 30.37/4.72 % (751978)...printing done.
% 30.37/4.72 % (751978)Refutation found. Thanks to Tanya!
% 30.37/4.72 % SZS status Unsatisfiable for theBenchmark
% 30.37/4.72 % SZS output start Proof for theBenchmark
% See solution above
% 30.37/4.75 % (751978)------------------------------
% 30.37/4.75 % (751978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.37/4.75 % (751978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.37/4.75 % (751978)CaDiCaL version: 2.1.3
% 30.37/4.75 % (751978)Termination reason: Refutation
% 30.37/4.75 % (751978)Time elapsed: 2.430 s
% 30.37/4.75 % (751978)Peak memory usage: 23 MB
% 30.37/4.75 % (751978)Instructions burned: 4972 (million)
% 30.37/4.75 % (751657)Success in time 4.472 s
% 30.37/4.75 % Vampire exiting
%------------------------------------------------------------------------------