%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA150^1 : 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 : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:59:23 AM UTC 2026
% Result : Unsatisfiable 79.01s 11.67s
% Output : Refutation 80.59s
% 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] :
( ( X0 = X1 )
| ( ( s @ X0 )
!= ( s @ 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 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X2: $i,X0: $i,X1: $i,X3: $i] :
( ~ ( r @ X0 @ X1 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X2 @ X3 )
| ~ ( r @ X0 @ X3 )
| ~ ( r @ X1 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X3: $i,X1: $i,X4: $i,X2: $i,X0: $i] :
( ~ ( b @ X3 @ X4 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X3 )
| ~ ( b @ X2 @ X4 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X1 @ X0 )
| ~ ( r @ X0 @ X3 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X2 @ X0 ) ),
inference(rectify,[],[f6]) ).
thf(f9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( $true
!= ( r @ X2 @ 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] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f13,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i] :
( ( b @ X1 @ X0 )
| ( X0 = X1 )
| ( r @ X1 @ X0 ) ),
inference(rectify,[],[f5]) ).
thf(f15,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ X1 @ X0 )
= $true )
| ( ( r @ X1 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X0 @ X2 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X4 @ X0 )
| ~ ( b @ X3 @ X2 )
| ~ ( b @ X1 @ X0 )
| ~ ( b @ X4 @ X1 ) ),
inference(rectify,[],[f7]) ).
thf(f17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X4 @ X0 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X4 @ X1 ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X2: $i,X1: $i,X0: $i,X3: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) ),
inference(flattening,[],[f9]) ).
thf(f19,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f13]) ).
thf(f21,plain,
! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( ( s @ X0 )
!= ( s @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f22,plain,
! [X0: $i,X1: $i,X4: $i,X3: $i,X2: $i] :
( ( ( b @ X4 @ X0 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X4 @ X1 ) ) ),
inference(flattening,[],[f17]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X0 @ X4 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) ),
inference(rectify,[],[f22]) ).
thf(f24,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( s @ X0 )
!= ( s @ X1 ) ) ),
inference(rectify,[],[f21]) ).
thf(f25,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(rectify,[],[f18]) ).
thf(f26,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f27,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f19]) ).
thf(f28,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ X4 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f29,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( ( r @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f30,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f31,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f32,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f35,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f29,f31]) ).
thf(f36,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(extensionality_resolution,[],[f29,f31]) ).
thf(f37,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f29,f30]) ).
thf(f42,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ ( s @ X0 ) )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(constrained_superposition,[],[f28,f35]) ).
thf(f43,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ X0 ) )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f42]) ).
thf(f45,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) ),
inference(constrained_superposition,[],[f43,f35]) ).
thf(f46,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ X2 @ z )
!= $true ) ),
inference(duplicate_literal_removal,[],[f45]) ).
thf(f47,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ X2 @ z )
!= $true ) ),
inference(trivial_inequality_removal,[],[f46]) ).
thf(f50,definition,
( spl0_1
<=> ! [X0: $i] :
( ( r @ z @ ( s @ X0 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f51,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ X0 ) )
= $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f50]) ).
thf(f53,definition,
( spl0_2
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f54,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
thf(f55,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f47,f53,f50]) ).
thf(f59,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X3 @ z )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(constrained_superposition,[],[f28,f36]) ).
thf(f60,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ z )
!= $true ) ),
inference(trivial_inequality_removal,[],[f59]) ).
thf(f75,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(extensionality_resolution,[],[f37,f31]) ).
thf(f76,plain,
! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f37,f31]) ).
thf(f77,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( X0 = X1 )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f37,f30]) ).
thf(f100,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f60,f75]) ).
thf(f103,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f28,f75]) ).
thf(f105,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f100]) ).
thf(f108,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X3 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f103]) ).
thf(f111,definition,
( spl0_3
<=> ( ( r @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f112,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f111]) ).
thf(f114,definition,
( spl0_4
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f115,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f114]) ).
thf(f116,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f105,f114,f111]) ).
thf(f118,definition,
( spl0_5
<=> ( ( r @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f119,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f118]) ).
thf(f125,definition,
( spl0_7
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f126,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f125]) ).
thf(f128,definition,
( spl0_8
<=> ( ( b @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f129,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_8 ),
inference(avatar_component_clause,[],[f128]) ).
thf(f135,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f32,f119]) ).
thf(f136,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f135]) ).
thf(f137,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| spl0_8 ),
inference(constrained_superposition,[],[f129,f36]) ).
thf(f140,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_8 ),
inference(trivial_inequality_removal,[],[f137]) ).
thf(f149,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f108,f35]) ).
thf(f151,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ z @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f149]) ).
thf(f155,definition,
( spl0_9
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f156,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f155]) ).
thf(f158,definition,
( spl0_10
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f159,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f158]) ).
thf(f160,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f151,f158,f155]) ).
thf(f176,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X2 @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f108,f76]) ).
thf(f177,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f60,f76]) ).
thf(f180,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f28,f76]) ).
thf(f182,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f180]) ).
thf(f183,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f176]) ).
thf(f184,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f177]) ).
thf(f188,definition,
( spl0_11
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f189,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f188]) ).
thf(f191,definition,
( spl0_12
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f192,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f191]) ).
thf(f193,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f183,f191,f188]) ).
thf(f195,definition,
( spl0_13
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f196,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f195]) ).
thf(f198,definition,
( spl0_14
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f199,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f198]) ).
thf(f200,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f184,f198,f195]) ).
thf(f224,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true ) ),
inference(constrained_superposition,[],[f182,f76]) ).
thf(f227,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(duplicate_literal_removal,[],[f224]) ).
thf(f228,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f227]) ).
thf(f231,definition,
( spl0_17
<=> ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f232,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f231]) ).
thf(f234,definition,
( spl0_18
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f235,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f234]) ).
thf(f236,plain,
( spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f228,f234,f231]) ).
thf(f285,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f77,f31]) ).
thf(f286,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f77,f31]) ).
thf(f296,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f32,f285]) ).
thf(f298,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f296]) ).
thf(f318,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f60,f286]) ).
thf(f321,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f28,f286]) ).
thf(f323,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X2 @ z )
!= $true ) ),
inference(trivial_inequality_removal,[],[f318]) ).
thf(f325,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f321]) ).
thf(f331,definition,
( spl0_19
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f332,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f331]) ).
thf(f334,definition,
( spl0_20
<=> ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f335,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f334]) ).
thf(f336,plain,
( spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f323,f334,f331]) ).
thf(f338,definition,
( spl0_21
<=> ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
thf(f339,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f338]) ).
thf(f341,definition,
( spl0_22
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f342,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f341]) ).
thf(f346,definition,
( spl0_23
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f347,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f346]) ).
thf(f357,definition,
( spl0_26
<=> ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f358,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f357]) ).
thf(f407,definition,
( spl0_30
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f408,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true ) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f407]) ).
thf(f410,definition,
( spl0_31
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
thf(f411,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f410]) ).
thf(f423,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f235,f75]) ).
thf(f426,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f423]) ).
thf(f437,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f426,f286]) ).
thf(f446,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f437]) ).
thf(f448,definition,
( spl0_34
<=> ( ( b @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
thf(f449,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_34 ),
inference(avatar_component_clause,[],[f448]) ).
thf(f452,definition,
( spl0_35
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f453,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f452]) ).
thf(f454,plain,
( spl0_35
| spl0_31
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f446,f234,f410,f452]) ).
thf(f499,definition,
( spl0_38
<=> ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f500,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f499]) ).
thf(f519,definition,
( spl0_39
<=> ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
thf(f520,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f519]) ).
thf(f524,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_34 ),
inference(constrained_superposition,[],[f449,f35]) ).
thf(f527,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_34 ),
inference(trivial_inequality_removal,[],[f524]) ).
thf(f535,definition,
( spl0_40
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
thf(f536,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f535]) ).
thf(f552,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f325,f286]) ).
thf(f554,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(duplicate_literal_removal,[],[f552]) ).
thf(f555,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f554]) ).
thf(f561,definition,
( spl0_41
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f562,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f561]) ).
thf(f564,definition,
( spl0_42
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
thf(f565,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f564]) ).
thf(f566,plain,
( spl0_41
| spl0_42 ),
inference(avatar_split_clause,[],[f555,f564,f561]) ).
thf(f576,definition,
( spl0_43
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
thf(f577,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f576]) ).
thf(f580,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f32,f500]) ).
thf(f581,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f580]) ).
thf(f589,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_17
| ~ spl0_38 ),
inference(constrained_superposition,[],[f581,f232]) ).
thf(f591,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_17
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f589]) ).
thf(f594,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_3
| ~ spl0_17
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f591,f112]) ).
thf(f596,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) )
| ~ spl0_3
| ~ spl0_17
| ~ spl0_38 ),
inference(constrained_superposition,[],[f594,f232]) ).
thf(f597,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ~ spl0_3
| ~ spl0_17
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f596]) ).
thf(f620,plain,
( $false
| ~ spl0_3
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f358,f597]) ).
thf(f621,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f620]) ).
thf(f649,definition,
( spl0_45
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
thf(f650,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f649]) ).
thf(f652,definition,
( spl0_46
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
thf(f653,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f652]) ).
thf(f661,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_5
| ~ spl0_31 ),
inference(constrained_superposition,[],[f136,f411]) ).
thf(f666,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_5
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f661]) ).
thf(f667,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_26 ),
inference(avatar_component_clause,[],[f357]) ).
thf(f669,definition,
( spl0_48
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
thf(f670,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f669]) ).
thf(f671,plain,
( ~ spl0_26
| spl0_48
| ~ spl0_5
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f666,f410,f118,f669,f357]) ).
thf(f682,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f235,f29]) ).
thf(f686,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f682]) ).
thf(f780,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_46 ),
inference(avatar_component_clause,[],[f652]) ).
thf(f782,definition,
( spl0_49
<=> ! [X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
thf(f783,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f782]) ).
thf(f785,definition,
( spl0_50
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
thf(f786,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f785]) ).
thf(f793,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_13
| spl0_46 ),
inference(constrained_superposition,[],[f780,f196]) ).
thf(f794,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_13
| spl0_46 ),
inference(trivial_inequality_removal,[],[f793]) ).
thf(f798,definition,
( spl0_52
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
thf(f799,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f798]) ).
thf(f801,plain,
( spl0_26
| ~ spl0_13
| spl0_46 ),
inference(avatar_split_clause,[],[f794,f652,f195,f357]) ).
thf(f804,definition,
( spl0_53
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
thf(f805,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f804]) ).
thf(f848,definition,
( spl0_54
<=> ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f849,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f848]) ).
thf(f850,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_31 ),
inference(avatar_component_clause,[],[f410]) ).
thf(f852,definition,
( spl0_55
<=> ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
thf(f853,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f852]) ).
thf(f875,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_11
| spl0_31 ),
inference(constrained_superposition,[],[f850,f189]) ).
thf(f884,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_11
| spl0_31 ),
inference(trivial_inequality_removal,[],[f875]) ).
thf(f888,plain,
( $false
| ~ spl0_11
| spl0_31
| spl0_46 ),
inference(forward_subsumption_resolution,[],[f884,f780]) ).
thf(f889,plain,
( ~ spl0_11
| spl0_31
| spl0_46 ),
inference(avatar_contradiction_clause,[],[f888]) ).
thf(f901,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( s @ z )
= X1 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
= $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f686,f29]) ).
thf(f906,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X1 )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f901]) ).
thf(f991,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( s @ z )
= X1 )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f906,f29]) ).
thf(f999,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( X0 = X1 )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X1 ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f991]) ).
thf(f1005,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| spl0_31 ),
inference(constrained_superposition,[],[f850,f999]) ).
thf(f1011,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_18
| spl0_31 ),
inference(trivial_inequality_removal,[],[f1005]) ).
thf(f1019,definition,
( spl0_56
<=> ( ( s @ z )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
thf(f1020,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f1019]) ).
thf(f1022,definition,
( spl0_57
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
thf(f1023,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f1022]) ).
thf(f1024,plain,
( spl0_56
| spl0_57
| ~ spl0_18
| spl0_31 ),
inference(avatar_split_clause,[],[f1011,f410,f234,f1022,f1019]) ).
thf(f1025,plain,
( ( $true != $true )
| ~ spl0_17
| spl0_46 ),
inference(constrained_superposition,[],[f780,f232]) ).
thf(f1029,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_17
| ~ spl0_38 ),
inference(constrained_superposition,[],[f581,f232]) ).
thf(f1034,plain,
( $false
| ~ spl0_17
| spl0_46 ),
inference(trivial_inequality_removal,[],[f1025]) ).
thf(f1035,plain,
( ~ spl0_17
| spl0_46 ),
inference(avatar_contradiction_clause,[],[f1034]) ).
thf(f1036,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_17
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f1029]) ).
thf(f1040,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_3
| ~ spl0_17
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f1036,f112]) ).
thf(f1041,plain,
( spl0_53
| ~ spl0_3
| ~ spl0_17
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f1040,f499,f231,f111,f804]) ).
thf(f1083,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f650,f35]) ).
thf(f1087,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f1083]) ).
thf(f1126,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f453,f75]) ).
thf(f1129,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f1126]) ).
thf(f1132,plain,
( spl0_22
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1129,f452,f341]) ).
thf(f1197,definition,
( spl0_59
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
thf(f1198,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_59 ),
inference(avatar_component_clause,[],[f1197]) ).
thf(f1200,definition,
( spl0_60
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
thf(f1201,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f1200]) ).
thf(f1204,definition,
( spl0_61
<=> ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
thf(f1205,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_61 ),
inference(avatar_component_clause,[],[f1204]) ).
thf(f1208,definition,
( spl0_62
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
thf(f1209,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_62 ),
inference(avatar_component_clause,[],[f1208]) ).
thf(f1211,definition,
( spl0_63
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
thf(f1212,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f1211]) ).
thf(f1216,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_61 ),
inference(constrained_superposition,[],[f1205,f36]) ).
thf(f1218,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_61 ),
inference(trivial_inequality_removal,[],[f1216]) ).
thf(f1227,plain,
( spl0_26
| spl0_61 ),
inference(avatar_split_clause,[],[f1218,f1204,f357]) ).
thf(f1232,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f32,f358]) ).
thf(f1233,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1232]) ).
thf(f1250,definition,
( spl0_65
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
thf(f1251,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f1250]) ).
thf(f1255,plain,
( spl0_5
| spl0_34 ),
inference(avatar_split_clause,[],[f527,f448,f118]) ).
thf(f1268,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f32,f653]) ).
thf(f1270,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f1268]) ).
thf(f1275,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_59 ),
inference(constrained_superposition,[],[f1198,f75]) ).
thf(f1277,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_59 ),
inference(constrained_superposition,[],[f1198,f29]) ).
thf(f1279,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_59 ),
inference(trivial_inequality_removal,[],[f1277]) ).
thf(f1280,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_59 ),
inference(trivial_inequality_removal,[],[f1275]) ).
thf(f1302,definition,
( spl0_68
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
thf(f1303,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f1302]) ).
thf(f1305,plain,
( spl0_56
| spl0_31
| spl0_59 ),
inference(avatar_split_clause,[],[f1279,f1197,f410,f1019]) ).
thf(f1306,plain,
( spl0_31
| spl0_59 ),
inference(avatar_split_clause,[],[f1280,f1197,f410]) ).
thf(f1308,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f298,f232]) ).
thf(f1309,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X2 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f32,f232]) ).
thf(f1310,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X2 @ ( s @ z ) )
!= $true ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f1309]) ).
thf(f1311,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f1308]) ).
thf(f1344,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f1310,f285]) ).
thf(f1350,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f1344]) ).
thf(f1351,plain,
( spl0_65
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1350,f231,f1250]) ).
thf(f1352,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f1233,f285]) ).
thf(f1356,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f1352]) ).
thf(f1360,plain,
( spl0_40
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f1356,f357,f535]) ).
thf(f1376,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_17
| ~ spl0_40 ),
inference(constrained_superposition,[],[f536,f232]) ).
thf(f1377,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_17
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f1376]) ).
thf(f1379,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_3
| ~ spl0_17
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1377,f112]) ).
thf(f1380,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_3
| ~ spl0_17
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1379,f232]) ).
thf(f1383,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_3
| ~ spl0_17
| ~ spl0_40
| ~ spl0_43 ),
inference(constrained_superposition,[],[f577,f1380]) ).
thf(f1387,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_3
| ~ spl0_17
| ~ spl0_40 ),
inference(constrained_superposition,[],[f108,f1380]) ).
thf(f1391,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_3
| ~ spl0_17
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f1387]) ).
thf(f1394,plain,
( ! [X0: $i] :
( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ~ spl0_3
| ~ spl0_17
| ~ spl0_40
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f1383]) ).
thf(f1401,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_17
| spl0_31
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1391,f850]) ).
thf(f1406,plain,
( spl0_30
| ~ spl0_3
| ~ spl0_17
| spl0_31
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f1401,f535,f410,f231,f111,f407]) ).
thf(f1416,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_17
| ~ spl0_40
| ~ spl0_43 ),
inference(constrained_superposition,[],[f1394,f35]) ).
thf(f1418,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_3
| ~ spl0_17
| ~ spl0_40
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f1416]) ).
thf(f1420,plain,
( spl0_54
| ~ spl0_3
| ~ spl0_17
| ~ spl0_40
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f1418,f576,f535,f231,f111,f848]) ).
thf(f1425,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f32,f849]) ).
thf(f1427,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f1425]) ).
thf(f1452,definition,
( spl0_70
<=> ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
thf(f1453,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_70 ),
inference(avatar_component_clause,[],[f1452]) ).
thf(f1456,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_70 ),
inference(constrained_superposition,[],[f1453,f35]) ).
thf(f1458,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_70 ),
inference(trivial_inequality_removal,[],[f1456]) ).
thf(f1460,plain,
( spl0_38
| spl0_70 ),
inference(avatar_split_clause,[],[f1458,f1452,f499]) ).
thf(f1463,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_50 ),
inference(constrained_superposition,[],[f32,f786]) ).
thf(f1465,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f1463]) ).
thf(f1473,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_17
| ~ spl0_54 ),
inference(constrained_superposition,[],[f1427,f232]) ).
thf(f1475,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_17
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f1473]) ).
thf(f1478,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_3
| ~ spl0_17
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f1475,f112]) ).
thf(f1479,plain,
( spl0_53
| ~ spl0_3
| ~ spl0_17
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f1478,f848,f231,f111,f804]) ).
thf(f1481,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_46
| ~ spl0_53 ),
inference(constrained_superposition,[],[f805,f653]) ).
thf(f1483,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_46
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f1481]) ).
thf(f1486,plain,
( $false
| ~ spl0_26
| ~ spl0_46
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f1483,f358]) ).
thf(f1487,plain,
( ~ spl0_26
| ~ spl0_46
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[],[f1486]) ).
thf(f1528,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_42
| ~ spl0_50 ),
inference(constrained_superposition,[],[f1465,f565]) ).
thf(f1532,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_42
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f1528]) ).
thf(f1536,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_17
| ~ spl0_42
| ~ spl0_50 ),
inference(constrained_superposition,[],[f1532,f232]) ).
thf(f1539,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_17
| ~ spl0_42
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f1536]) ).
thf(f1540,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_3
| ~ spl0_17
| ~ spl0_42
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1539,f112]) ).
thf(f1541,plain,
( $false
| ~ spl0_3
| ~ spl0_17
| ~ spl0_42
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f1540,f232]) ).
thf(f1542,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_42
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f1541]) ).
thf(f1551,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f783,f285]) ).
thf(f1552,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f783,f77]) ).
thf(f1556,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f1552]) ).
thf(f1558,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f1551]) ).
thf(f1559,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_17
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1556,f232]) ).
thf(f1560,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_17
| ~ spl0_30
| ~ spl0_40 ),
inference(constrained_superposition,[],[f408,f1380]) ).
thf(f1569,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_17
| ~ spl0_30
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f1560]) ).
thf(f1570,plain,
( ~ spl0_59
| spl0_60
| ~ spl0_3
| ~ spl0_17
| ~ spl0_30
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f1569,f535,f407,f231,f111,f1200,f1197]) ).
thf(f1572,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f1201,f35]) ).
thf(f1576,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f1572]) ).
thf(f1581,plain,
( ~ spl0_70
| spl0_54
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f1576,f1200,f848,f1452]) ).
thf(f1582,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f140,f128,f111]) ).
thf(f1584,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_17
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1558,f232]) ).
thf(f1586,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| spl0_3 ),
inference(avatar_component_clause,[],[f111]) ).
thf(f1588,definition,
( spl0_71
<=> ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
thf(f1589,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f1588]) ).
thf(f1592,plain,
( spl0_38
| ~ spl0_8
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f1087,f649,f128,f499]) ).
thf(f1599,definition,
( spl0_73
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
thf(f1600,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f1599]) ).
thf(f1612,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_38 ),
inference(avatar_component_clause,[],[f499]) ).
thf(f1614,definition,
( spl0_74
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
thf(f1615,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f1614]) ).
thf(f1623,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X1 )
!= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_17
| ~ spl0_49 ),
inference(constrained_superposition,[],[f108,f1559]) ).
thf(f1628,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_17
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f1623]) ).
thf(f1636,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( z = X0 )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_17
| spl0_31
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1628,f850]) ).
thf(f1643,plain,
( spl0_71
| ~ spl0_17
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f1584,f782,f231,f1588]) ).
thf(f1734,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( z = X0 )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_17
| spl0_31
| ~ spl0_49 ),
inference(constrained_superposition,[],[f1636,f1559]) ).
thf(f1742,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_17
| spl0_31
| ~ spl0_49 ),
inference(duplicate_literal_removal,[],[f1734]) ).
thf(f1743,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_17
| spl0_31
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f1742]) ).
thf(f1747,definition,
( spl0_76
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
thf(f1748,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X0 )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f1747]) ).
thf(f1749,plain,
( spl0_76
| ~ spl0_59
| ~ spl0_17
| spl0_31
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f1743,f782,f410,f231,f1197,f1747]) ).
thf(f1806,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f115,f286]) ).
thf(f1811,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f1806]) ).
thf(f1820,definition,
( spl0_77
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
thf(f1821,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f1820]) ).
thf(f1828,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_71
| ~ spl0_77 ),
inference(constrained_superposition,[],[f1821,f1589]) ).
thf(f1836,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_71
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f1828]) ).
thf(f1838,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| spl0_31
| ~ spl0_71
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f1836,f850]) ).
thf(f1846,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| spl0_31
| ~ spl0_71
| ~ spl0_77 ),
inference(constrained_superposition,[],[f1838,f75]) ).
thf(f1850,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| spl0_31
| ~ spl0_71
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f1846]) ).
thf(f1852,plain,
( spl0_63
| spl0_31
| ~ spl0_71
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1850,f1820,f1588,f410,f1211]) ).
thf(f2497,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| spl0_5 ),
inference(avatar_component_clause,[],[f118]) ).
thf(f2499,definition,
( spl0_79
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
thf(f2500,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f2499]) ).
thf(f2506,definition,
( spl0_80
<=> ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
thf(f2507,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f2506]) ).
thf(f2523,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_10
| spl0_31 ),
inference(constrained_superposition,[],[f850,f159]) ).
thf(f2530,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_10
| spl0_31 ),
inference(trivial_inequality_removal,[],[f2523]) ).
thf(f2533,plain,
( spl0_38
| ~ spl0_10
| spl0_31 ),
inference(avatar_split_clause,[],[f2530,f410,f158,f499]) ).
thf(f2535,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_26
| ~ spl0_38 ),
inference(constrained_superposition,[],[f1233,f500]) ).
thf(f2545,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_26
| ~ spl0_38 ),
inference(duplicate_literal_removal,[],[f2535]) ).
thf(f2546,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_26
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f2545]) ).
thf(f2547,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_26
| ~ spl0_38 ),
inference(constrained_superposition,[],[f2546,f285]) ).
thf(f2548,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_26
| ~ spl0_38 ),
inference(constrained_superposition,[],[f2546,f77]) ).
thf(f2560,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) )
| ~ spl0_26
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f2547]) ).
thf(f2561,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 ) )
| ~ spl0_26
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f2548]) ).
thf(f2566,plain,
( spl0_52
| ~ spl0_26
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f2560,f499,f357,f798]) ).
thf(f2710,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f1600,f37]) ).
thf(f2715,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f2710]) ).
thf(f2736,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f2715,f75]) ).
thf(f2740,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f2736]) ).
thf(f2849,definition,
( spl0_81
<=> ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
thf(f2850,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f2849]) ).
thf(f2852,plain,
( ( $true != $true )
| ~ spl0_1
| spl0_5 ),
inference(constrained_superposition,[],[f2497,f51]) ).
thf(f2868,plain,
( $false
| ~ spl0_1
| spl0_5 ),
inference(trivial_inequality_removal,[],[f2852]) ).
thf(f2869,plain,
( ~ spl0_1
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f2868]) ).
thf(f2876,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_63 ),
inference(constrained_superposition,[],[f32,f1212]) ).
thf(f2879,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_63 ),
inference(trivial_inequality_removal,[],[f2876]) ).
thf(f2883,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f32,f126]) ).
thf(f2884,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f2883]) ).
thf(f2896,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f29]) ).
thf(f2898,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f2896]) ).
thf(f2940,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_17
| ~ spl0_63 ),
inference(constrained_superposition,[],[f2879,f232]) ).
thf(f2942,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_17
| ~ spl0_63 ),
inference(duplicate_literal_removal,[],[f2940]) ).
thf(f2943,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_17
| ~ spl0_63 ),
inference(trivial_inequality_removal,[],[f2942]) ).
thf(f2949,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_17
| ~ spl0_63 ),
inference(constrained_superposition,[],[f2943,f77]) ).
thf(f2954,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( s @ X1 )
= X0 )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true ) )
| ~ spl0_17
| ~ spl0_63 ),
inference(trivial_inequality_removal,[],[f2949]) ).
thf(f2960,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_7
| ~ spl0_17 ),
inference(constrained_superposition,[],[f2884,f232]) ).
thf(f2973,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_7
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f2960]) ).
thf(f2974,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_7
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f2973]) ).
thf(f3033,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( z = X1 )
| ( $true != $true )
| ( $true
= ( r @ X1 @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f2898,f36]) ).
thf(f3034,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X1 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f3033]) ).
thf(f3380,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_26
| ~ spl0_38
| ~ spl0_73 ),
inference(constrained_superposition,[],[f2546,f2740]) ).
thf(f3389,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_26
| ~ spl0_38
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f3380]) ).
thf(f3395,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_26
| ~ spl0_38
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f3389,f126]) ).
thf(f3399,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_7
| ~ spl0_26
| ~ spl0_38
| ~ spl0_73 ),
inference(constrained_superposition,[],[f32,f3395]) ).
thf(f3400,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_26
| ~ spl0_38
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f3399]) ).
thf(f3406,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_73 ),
inference(constrained_superposition,[],[f3400,f232]) ).
thf(f3419,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_73 ),
inference(duplicate_literal_removal,[],[f3406]) ).
thf(f3420,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f3419]) ).
thf(f3427,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_73 ),
inference(constrained_superposition,[],[f3420,f77]) ).
thf(f3439,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( X0 = X1 )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( ( s @ X1 )
= ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f3427]) ).
thf(f3453,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X1 )
= X0 )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_63
| ~ spl0_73 ),
inference(constrained_superposition,[],[f2954,f3395]) ).
thf(f3456,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( $true != $true ) )
| ~ spl0_17
| ~ spl0_63 ),
inference(constrained_superposition,[],[f2954,f1212]) ).
thf(f3469,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true )
| ( ( s @ X1 )
= X0 )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_63
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f3453]) ).
thf(f3473,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true )
| ( ( s @ X0 )
= ( s @ X1 ) ) )
| ~ spl0_17
| ~ spl0_63 ),
inference(trivial_inequality_removal,[],[f3456]) ).
thf(f4182,definition,
( spl0_85
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
thf(f4183,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f4182]) ).
thf(f4202,definition,
( spl0_89
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
thf(f4203,plain,
( ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) ) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f4202]) ).
thf(f4243,definition,
( spl0_96
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
thf(f4244,plain,
( ! [X2: $i,X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X2 @ z )
!= $true ) )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f4243]) ).
thf(f4310,definition,
( spl0_105
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
thf(f4311,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f4310]) ).
thf(f4318,definition,
( spl0_107
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
thf(f4319,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f4318]) ).
thf(f5893,definition,
( spl0_194
<=> ! [X0: $i] :
( ( r @ ( s @ X0 ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
thf(f5894,plain,
( ! [X0: $i] :
( ( r @ ( s @ X0 ) @ z )
= $true )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f5893]) ).
thf(f6324,definition,
( spl0_296
<=> ! [X0: $i,X3: $i] :
( ( s @ X0 )
= ( s @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_296])],[avatar_definition]) ).
thf(f6325,plain,
( ! [X3: $i,X0: $i] :
( ( s @ X0 )
= ( s @ X3 ) )
| ~ spl0_296 ),
inference(avatar_component_clause,[],[f6324]) ).
thf(f8429,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( X0 = X1 )
| ( ( s @ X1 )
= ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_73 ),
inference(constrained_superposition,[],[f3439,f126]) ).
thf(f8452,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( ( s @ X1 )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( X0 = X1 ) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f8429]) ).
thf(f8672,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X1 )
= ( s @ z ) )
| ( X0 = X1 ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_73 ),
inference(constrained_superposition,[],[f3034,f8452]) ).
thf(f8686,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( s @ X1 )
= ( s @ z ) )
| ( $true != $true )
| ( X0 = X1 ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_73 ),
inference(duplicate_literal_removal,[],[f8672]) ).
thf(f8687,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X1 )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f8686]) ).
thf(f8705,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( X0 = X1 )
| ( ( s @ X1 )
= ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f8687,f31]) ).
thf(f8715,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( X0 = X1 )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_73 ),
inference(constrained_superposition,[],[f2561,f8705]) ).
thf(f8727,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f8715]) ).
thf(f8737,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( X0 = X1 )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f8727,f30]) ).
thf(f8765,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X2 ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( X0 = X2 )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_73 ),
inference(constrained_superposition,[],[f562,f8737]) ).
thf(f8787,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X2 ) ) @ z )
= $true )
| ( X0 = X2 )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f8765]) ).
thf(f9274,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X2 ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( X0 = X2 )
| ( z = X0 )
| ( ( s @ X1 )
= X0 )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X1 ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_63
| ~ spl0_73 ),
inference(constrained_superposition,[],[f8787,f3469]) ).
thf(f9315,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ X1 ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ X2 ) ) @ z )
= $true )
| ( ( s @ X1 )
= X0 )
| ( X0 = X2 ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_63
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f9274]) ).
thf(f9325,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X1 ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X2 ) ) @ z )
= $true )
| ( ( s @ X1 )
= X0 )
| ( X0 = X2 )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_63
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f9315,f30]) ).
thf(f9346,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( s @ X0 )
= X2 )
| ( ( r @ ( s @ ( s @ X3 ) ) @ z )
= $true )
| ( ( s @ X0 )
= X3 )
| ( z = X2 )
| ( ( s @ X0 )
= z )
| ( $true != $true )
| ( X1 = X2 ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_63
| ~ spl0_73 ),
inference(constrained_superposition,[],[f9325,f8737]) ).
thf(f9356,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( s @ X0 )
= X2 )
| ( ( r @ ( s @ ( s @ X3 ) ) @ z )
= $true )
| ( z = X2 )
| ( ( s @ X0 )
= X3 )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( s @ X0 )
= z )
| ( X1 = X2 ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_63
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f9346]) ).
thf(f9360,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X3 ) ) @ z )
= $true )
| ( z = X2 )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( X1 = X2 )
| ( ( s @ X0 )
= X2 )
| ( ( s @ X0 )
= X3 ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_63
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f9356,f31]) ).
thf(f9368,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X1 )
| ( ( s @ X2 )
= X0 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X2 )
= X1 )
| ( $true != $true )
| ( X0 = X1 ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_63
| ~ spl0_73 ),
inference(equality_factoring,[],[f9360]) ).
thf(f9369,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X2 )
= X1 )
| ( X0 = X1 )
| ( ( s @ X2 )
= X0 )
| ( z = X1 ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_63
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f9368]) ).
thf(f9376,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( z = X2 )
| ( ( s @ X0 )
= X2 )
| ( ( s @ X1 )
= X2 )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_52
| ~ spl0_63
| ~ spl0_73 ),
inference(constrained_superposition,[],[f799,f9369]) ).
thf(f9377,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( z = X2 )
| ( $true != $true )
| ( ( s @ X1 )
= X0 )
| ( ( s @ X1 )
= X2 )
| ( X0 = X2 ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_63
| ~ spl0_73 ),
inference(constrained_superposition,[],[f2561,f9369]) ).
thf(f9385,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X2 )
| ( ( s @ X0 )
= X2 )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( s @ X1 )
= X2 ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_52
| ~ spl0_63
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f9376]) ).
thf(f9387,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( X0 = X2 )
| ( z = X2 )
| ( ( s @ X1 )
= X0 )
| ( ( s @ X1 )
= X2 ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_63
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f9377]) ).
thf(f9397,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ X3 )
= X2 )
| ( X0 = X2 )
| ( $true != $true )
| ( z = X2 )
| ( ( s @ X3 )
= X0 )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_63
| ~ spl0_73 ),
inference(constrained_superposition,[],[f562,f9387]) ).
thf(f9427,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( z = X0 )
| ( X0 = X2 )
| ( ( s @ X3 )
= X2 )
| ( z = X2 )
| ( ( s @ X3 )
= X0 )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_63
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f9397]) ).
thf(f9677,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( s @ X1 )
= X0 )
| ( ( s @ X3 )
= X2 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( X0 = X2 )
| ( ( s @ X3 )
= X0 )
| ( ( b @ ( s @ ( s @ ( s @ X1 ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( z = X0 )
| ( z = X2 ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_63
| ~ spl0_73 ),
inference(constrained_superposition,[],[f9427,f3469]) ).
thf(f9724,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( s @ X3 )
= X0 )
| ( ( s @ X1 )
= X0 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( z = X2 )
| ( ( b @ ( s @ ( s @ ( s @ X1 ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X0 )
| ( X0 = X2 )
| ( ( s @ X3 )
= X2 ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_63
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f9677]) ).
thf(f9734,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X1 ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ X3 )
= X0 )
| ( X0 = X2 )
| ( z = X2 )
| ( ( s @ X3 )
= X2 )
| ( z = X0 )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_63
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f9724,f30]) ).
thf(f9736,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( X2 = X3 )
| ( ( s @ X0 )
= ( s @ X5 ) )
| ( ( s @ X0 )
= X2 )
| ( ( s @ X1 )
= X3 )
| ( ( s @ X1 )
= X2 )
| ( z = X4 )
| ( z = X2 )
| ( ( s @ X0 )
= X4 )
| ( z = X3 )
| ( ( s @ X5 )
= X4 )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_52
| ~ spl0_63
| ~ spl0_73 ),
inference(constrained_superposition,[],[f9734,f9385]) ).
thf(f9753,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( ( s @ X0 )
= ( s @ X5 ) )
| ( X2 = X3 )
| ( ( s @ X5 )
= X4 )
| ( ( s @ X0 )
= X4 )
| ( z = X3 )
| ( z = X4 )
| ( z = X2 )
| ( ( s @ X0 )
= X2 )
| ( ( s @ X1 )
= X3 )
| ( ( s @ X1 )
= X2 ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_52
| ~ spl0_63
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f9736]) ).
thf(f10148,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ( X2 = X3 )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( z = X4 )
| ( ( s @ X5 )
= X2 )
| ( z = X2 )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( s @ X5 )
= X3 )
| ( z = X3 )
| ( ( s @ X0 )
= X4 )
| ( ( s @ ( s @ z ) )
= X4 )
| ( ( s @ ( s @ z ) )
= X2 ) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_52
| ~ spl0_63
| ~ spl0_73 ),
inference(constrained_superposition,[],[f1600,f9753]) ).
thf(f10706,definition,
( spl0_338
<=> ! [X4: $i,X5: $i,X7: $i] :
( ( ( s @ X7 )
= X5 )
| ( z = X4 )
| ( ( s @ ( s @ z ) )
= X4 )
| ( X4 = X5 )
| ( z = X5 )
| ( ( s @ X7 )
= X4 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_338])],[avatar_definition]) ).
thf(f10707,plain,
( ! [X7: $i,X4: $i,X5: $i] :
( ( ( s @ ( s @ z ) )
= X4 )
| ( ( s @ X7 )
= X4 )
| ( ( s @ X7 )
= X5 )
| ( X4 = X5 )
| ( z = X5 )
| ( z = X4 ) )
| ~ spl0_338 ),
inference(avatar_component_clause,[],[f10706]) ).
thf(f10820,definition,
( spl0_366
<=> ! [X0: $i,X3: $i] :
( ( z = X3 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= X3 )
| ( ( s @ ( s @ z ) )
= X3 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_366])],[avatar_definition]) ).
thf(f10821,plain,
( ! [X3: $i,X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( s @ ( s @ z ) )
= X3 )
| ( ( s @ X0 )
= X3 )
| ( z = X3 ) )
| ~ spl0_366 ),
inference(avatar_component_clause,[],[f10820]) ).
thf(f11087,definition,
( spl0_432
<=> ! [X4: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X4 )
| ( ( s @ X0 )
= X4 )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( z = X4 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_432])],[avatar_definition]) ).
thf(f11088,plain,
( ! [X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( s @ X0 )
= X4 )
| ( ( s @ ( s @ z ) )
= X4 )
| ( z = X4 ) )
| ~ spl0_432 ),
inference(avatar_component_clause,[],[f11087]) ).
thf(f11089,plain,
( spl0_338
| spl0_432
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_52
| ~ spl0_63
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f10148,f1599,f1211,f798,f561,f499,f357,f231,f125,f53,f11087,f10706]) ).
thf(f12030,definition,
( spl0_465
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X1 )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_465])],[avatar_definition]) ).
thf(f12031,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_465 ),
inference(avatar_component_clause,[],[f12030]) ).
thf(f12263,definition,
( spl0_488
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ X2 )
= X0 )
| ( z = X0 )
| ( ( s @ X2 )
= X1 )
| ( z = X1 )
| ( X0 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_488])],[avatar_definition]) ).
thf(f12264,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ X2 )
= X1 )
| ( ( s @ X2 )
= X0 )
| ( z = X1 )
| ( z = X0 )
| ( X0 = X1 ) )
| ~ spl0_488 ),
inference(avatar_component_clause,[],[f12263]) ).
thf(f12812,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X1 )
| ( ( s @ ( s @ z ) )
!= X1 )
| ( X0 = X1 )
| ( ( s @ X2 )
= X0 )
| ( ( s @ X2 )
= X1 )
| ( z = X0 ) )
| ~ spl0_338 ),
inference(equality_factoring,[],[f10707]) ).
thf(f12839,definition,
( spl0_493
<=> ! [X1: $i] :
( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( s @ z )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_493])],[avatar_definition]) ).
thf(f12840,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_493 ),
inference(avatar_component_clause,[],[f12839]) ).
thf(f12974,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( ( s @ X2 )
= X0 )
| ( z = X1 )
| ( ( s @ X2 )
= X1 )
| ( X0 = X1 ) )
| ~ spl0_338 ),
inference(forward_subsumption_resolution,[],[f12812,f10707]) ).
thf(f13038,definition,
( spl0_507
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_507])],[avatar_definition]) ).
thf(f13039,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_507 ),
inference(avatar_component_clause,[],[f13038]) ).
thf(f13045,definition,
( spl0_509
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_509])],[avatar_definition]) ).
thf(f13046,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_509 ),
inference(avatar_component_clause,[],[f13045]) ).
thf(f13055,definition,
( spl0_511
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_511])],[avatar_definition]) ).
thf(f13056,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_511 ),
inference(avatar_component_clause,[],[f13055]) ).
thf(f13064,definition,
( spl0_513
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_513])],[avatar_definition]) ).
thf(f13065,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_513 ),
inference(avatar_component_clause,[],[f13064]) ).
thf(f13111,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_511 ),
inference(avatar_component_clause,[],[f13055]) ).
thf(f13145,definition,
( spl0_526
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_526])],[avatar_definition]) ).
thf(f13146,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_526 ),
inference(avatar_component_clause,[],[f13145]) ).
thf(f13159,plain,
( spl0_488
| ~ spl0_338 ),
inference(avatar_split_clause,[],[f12974,f10706,f12263]) ).
thf(f13886,plain,
( ( ( s @ z )
!= ( s @ ( s @ z ) ) )
| spl0_56 ),
inference(avatar_component_clause,[],[f1019]) ).
thf(f14188,definition,
( spl0_576
<=> ! [X1: $i] :
( ( s @ z )
= ( s @ ( s @ ( s @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_576])],[avatar_definition]) ).
thf(f14189,plain,
( ! [X1: $i] :
( ( s @ z )
= ( s @ ( s @ ( s @ X1 ) ) ) )
| ~ spl0_576 ),
inference(avatar_component_clause,[],[f14188]) ).
thf(f14944,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f1208]) ).
thf(f15105,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_41
| ~ spl0_62 ),
inference(constrained_superposition,[],[f562,f14944]) ).
thf(f15109,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_62 ),
inference(constrained_superposition,[],[f108,f14944]) ).
thf(f15116,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f15109]) ).
thf(f15126,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_41
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f15105]) ).
thf(f15130,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| spl0_31
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[],[f15116,f850]) ).
thf(f15136,plain,
( spl0_45
| ~ spl0_41
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f15126,f1208,f561,f649]) ).
thf(f15137,plain,
( spl0_12
| spl0_31
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f15130,f1208,f410,f191]) ).
thf(f15886,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ X0 )
= X1 )
| ( z = X1 )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_46
| ~ spl0_488 ),
inference(constrained_superposition,[],[f653,f12264]) ).
thf(f15997,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 )
| ( ( s @ X0 )
= X1 ) )
| ~ spl0_46
| ~ spl0_488 ),
inference(forward_subsumption_resolution,[],[f15886,f31]) ).
thf(f16233,plain,
( spl0_366
| ~ spl0_46
| ~ spl0_488 ),
inference(avatar_split_clause,[],[f15997,f12263,f652,f10820]) ).
thf(f16365,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_576 ),
inference(constrained_superposition,[],[f75,f14189]) ).
thf(f16674,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_576 ),
inference(forward_subsumption_resolution,[],[f16365,f27]) ).
thf(f16740,plain,
( $false
| ~ spl0_576 ),
inference(forward_subsumption_resolution,[],[f16674,f26]) ).
thf(f16741,plain,
~ spl0_576,
inference(avatar_contradiction_clause,[],[f16740]) ).
thf(f16779,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_62 ),
inference(constrained_superposition,[],[f1209,f76]) ).
thf(f16781,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_62 ),
inference(constrained_superposition,[],[f1209,f29]) ).
thf(f16783,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_62 ),
inference(trivial_inequality_removal,[],[f16781]) ).
thf(f16784,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_62 ),
inference(trivial_inequality_removal,[],[f16779]) ).
thf(f16785,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_52
| ~ spl0_507 ),
inference(constrained_superposition,[],[f799,f13039]) ).
thf(f16786,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_26
| ~ spl0_38
| ~ spl0_507 ),
inference(constrained_superposition,[],[f2561,f13039]) ).
thf(f16794,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_26
| ~ spl0_38
| ~ spl0_507 ),
inference(trivial_inequality_removal,[],[f16786]) ).
thf(f16796,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_52
| ~ spl0_507 ),
inference(trivial_inequality_removal,[],[f16785]) ).
thf(f16797,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_26
| ~ spl0_38
| ~ spl0_507 ),
inference(forward_subsumption_resolution,[],[f16794,f31]) ).
thf(f16798,plain,
( spl0_511
| ~ spl0_52
| ~ spl0_507 ),
inference(avatar_split_clause,[],[f16796,f13038,f798,f13055]) ).
thf(f16799,plain,
( spl0_511
| ~ spl0_26
| ~ spl0_38
| ~ spl0_507 ),
inference(avatar_split_clause,[],[f16797,f13038,f499,f357,f13055]) ).
thf(f16804,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_513 ),
inference(constrained_superposition,[],[f13065,f75]) ).
thf(f16809,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_513 ),
inference(trivial_inequality_removal,[],[f16804]) ).
thf(f17230,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f1452]) ).
thf(f18377,plain,
( ( $true != $true )
| spl0_3
| ~ spl0_194 ),
inference(constrained_superposition,[],[f1586,f5894]) ).
thf(f18387,plain,
( $false
| spl0_3
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f18377]) ).
thf(f18388,plain,
( spl0_3
| ~ spl0_194 ),
inference(avatar_contradiction_clause,[],[f18387]) ).
thf(f18921,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_46
| ~ spl0_74 ),
inference(constrained_superposition,[],[f1615,f653]) ).
thf(f18922,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_17
| ~ spl0_74 ),
inference(constrained_superposition,[],[f1615,f232]) ).
thf(f18928,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_46
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f18921]) ).
thf(f18929,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_17
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f18922]) ).
thf(f19028,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( z = X1 )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ X1 ) ) )
!= $true ) )
| ~ spl0_71
| ~ spl0_76 ),
inference(constrained_superposition,[],[f1748,f1589]) ).
thf(f19034,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ X1 ) ) )
!= $true )
| ( z = X1 ) )
| ~ spl0_71
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f19028]) ).
thf(f19040,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ X1 ) )
| ( $true != $true )
| ( z
= ( s @ X1 ) ) )
| ~ spl0_17
| ~ spl0_63
| ~ spl0_71
| ~ spl0_76 ),
inference(constrained_superposition,[],[f19034,f3473]) ).
thf(f19049,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ X1 ) )
| ( z
= ( s @ X1 ) ) )
| ~ spl0_17
| ~ spl0_63
| ~ spl0_71
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f19040]) ).
thf(f19051,plain,
( ! [X0: $i,X1: $i] :
( ( s @ X0 )
= ( s @ X1 ) )
| ~ spl0_17
| ~ spl0_63
| ~ spl0_71
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f19049,f31]) ).
thf(f19053,plain,
( spl0_296
| ~ spl0_17
| ~ spl0_63
| ~ spl0_71
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f19051,f1747,f1588,f1211,f231,f6324]) ).
thf(f19504,plain,
( ! [X0: $i] :
( ( r @ ( s @ X0 ) @ z )
= $true )
| ~ spl0_26
| ~ spl0_296 ),
inference(constrained_superposition,[],[f358,f6325]) ).
thf(f19643,plain,
( spl0_194
| ~ spl0_26
| ~ spl0_296 ),
inference(avatar_split_clause,[],[f19504,f6324,f357,f5893]) ).
thf(f19720,plain,
( ~ spl0_5
| ~ spl0_46
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f18928,f1614,f652,f118]) ).
thf(f19722,plain,
( ~ spl0_5
| ~ spl0_17
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f18929,f1614,f231,f118]) ).
thf(f19726,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_17 ),
inference(constrained_superposition,[],[f1311,f51]) ).
thf(f19748,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_1
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f19726]) ).
thf(f19754,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f19748,f51]) ).
thf(f19757,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f19754,f51]) ).
thf(f19758,plain,
( spl0_71
| ~ spl0_1
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f19757,f231,f50,f1588]) ).
thf(f19763,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f32,f119]) ).
thf(f19764,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f19763]) ).
thf(f19765,plain,
( spl0_96
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f19764,f118,f4243]) ).
thf(f19770,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_38
| ~ spl0_57 ),
inference(constrained_superposition,[],[f1612,f1023]) ).
thf(f19771,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| spl0_38
| ~ spl0_57 ),
inference(trivial_inequality_removal,[],[f19770]) ).
thf(f19849,definition,
( spl0_612
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_612])],[avatar_definition]) ).
thf(f19850,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_612 ),
inference(avatar_component_clause,[],[f19849]) ).
thf(f19852,definition,
( spl0_613
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_613])],[avatar_definition]) ).
thf(f19853,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_613 ),
inference(avatar_component_clause,[],[f19852]) ).
thf(f19876,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_56 ),
inference(constrained_superposition,[],[f76,f1020]) ).
thf(f19998,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f1197]) ).
thf(f20009,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f19876,f27]) ).
thf(f20048,plain,
( $false
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f20009,f26]) ).
thf(f20049,plain,
~ spl0_56,
inference(avatar_contradiction_clause,[],[f20048]) ).
thf(f20057,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_56 ),
inference(extensionality_resolution,[],[f77,f13886]) ).
thf(f20058,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_56 ),
inference(extensionality_resolution,[],[f77,f13886]) ).
thf(f20064,definition,
( spl0_614
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_614])],[avatar_definition]) ).
thf(f20065,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_614 ),
inference(avatar_component_clause,[],[f20064]) ).
thf(f20067,definition,
( spl0_615
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_615])],[avatar_definition]) ).
thf(f20068,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_615 ),
inference(avatar_component_clause,[],[f20067]) ).
thf(f20069,plain,
( spl0_614
| spl0_615
| spl0_56 ),
inference(avatar_split_clause,[],[f20057,f1019,f20067,f20064]) ).
thf(f20071,definition,
( spl0_616
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_616])],[avatar_definition]) ).
thf(f20072,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_616 ),
inference(avatar_component_clause,[],[f20071]) ).
thf(f20074,definition,
( spl0_617
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_617])],[avatar_definition]) ).
thf(f20075,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_617 ),
inference(avatar_component_clause,[],[f20074]) ).
thf(f20076,plain,
( spl0_616
| spl0_617
| spl0_56 ),
inference(avatar_split_clause,[],[f20058,f1019,f20074,f20071]) ).
thf(f20080,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_613 ),
inference(constrained_superposition,[],[f286,f19853]) ).
thf(f20247,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_613 ),
inference(forward_subsumption_resolution,[],[f20080,f26]) ).
thf(f20263,plain,
( $false
| ~ spl0_613 ),
inference(forward_subsumption_resolution,[],[f20247,f27]) ).
thf(f20264,plain,
~ spl0_613,
inference(avatar_contradiction_clause,[],[f20263]) ).
thf(f20267,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f60,f19998]) ).
thf(f20269,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f28,f19998]) ).
thf(f20270,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f20269]) ).
thf(f20272,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f20267]) ).
thf(f20274,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| spl0_3
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f20272,f1586]) ).
thf(f20275,plain,
( spl0_20
| spl0_3
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f20274,f1197,f111,f334]) ).
thf(f20349,definition,
( spl0_622
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_622])],[avatar_definition]) ).
thf(f20350,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_622 ),
inference(avatar_component_clause,[],[f20349]) ).
thf(f20352,definition,
( spl0_623
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_623])],[avatar_definition]) ).
thf(f20353,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_623 ),
inference(avatar_component_clause,[],[f20352]) ).
thf(f20357,definition,
( spl0_624
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_624])],[avatar_definition]) ).
thf(f20358,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_624 ),
inference(avatar_component_clause,[],[f20357]) ).
thf(f20360,definition,
( spl0_625
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_625])],[avatar_definition]) ).
thf(f20361,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_625 ),
inference(avatar_component_clause,[],[f20360]) ).
thf(f20364,definition,
( spl0_626
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_626])],[avatar_definition]) ).
thf(f20365,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_626 ),
inference(avatar_component_clause,[],[f20364]) ).
thf(f20368,definition,
( spl0_627
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_627])],[avatar_definition]) ).
thf(f20369,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| spl0_627 ),
inference(avatar_component_clause,[],[f20368]) ).
thf(f20406,definition,
( spl0_630
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_630])],[avatar_definition]) ).
thf(f20407,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_630 ),
inference(avatar_component_clause,[],[f20406]) ).
thf(f20409,definition,
( spl0_631
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_631])],[avatar_definition]) ).
thf(f20410,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_631 ),
inference(avatar_component_clause,[],[f20409]) ).
thf(f20419,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_52
| ~ spl0_622 ),
inference(constrained_superposition,[],[f799,f20350]) ).
thf(f20424,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_52
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f20419]) ).
thf(f20426,plain,
( spl0_630
| ~ spl0_52
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f20424,f20349,f798,f20406]) ).
thf(f20428,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_526 ),
inference(constrained_superposition,[],[f13146,f36]) ).
thf(f20431,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_526 ),
inference(trivial_inequality_removal,[],[f20428]) ).
thf(f20437,plain,
( spl0_507
| spl0_526 ),
inference(avatar_split_clause,[],[f20431,f13145,f13038]) ).
thf(f20446,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_627 ),
inference(constrained_superposition,[],[f20369,f36]) ).
thf(f20449,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_627 ),
inference(trivial_inequality_removal,[],[f20446]) ).
thf(f20451,plain,
( spl0_622
| spl0_627 ),
inference(avatar_split_clause,[],[f20449,f20368,f20349]) ).
thf(f20536,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_624 ),
inference(constrained_superposition,[],[f20358,f286]) ).
thf(f20543,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_624 ),
inference(trivial_inequality_removal,[],[f20536]) ).
thf(f20545,definition,
( spl0_632
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_632])],[avatar_definition]) ).
thf(f20546,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_632 ),
inference(avatar_component_clause,[],[f20545]) ).
thf(f20549,plain,
( spl0_632
| spl0_624 ),
inference(avatar_split_clause,[],[f20543,f20357,f20545]) ).
thf(f20556,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_632 ),
inference(constrained_superposition,[],[f298,f20546]) ).
thf(f20565,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_632 ),
inference(duplicate_literal_removal,[],[f20556]) ).
thf(f20566,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_632 ),
inference(trivial_inequality_removal,[],[f20565]) ).
thf(f20572,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_511
| ~ spl0_632 ),
inference(forward_subsumption_resolution,[],[f20566,f13111]) ).
thf(f21102,definition,
( spl0_633
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_633])],[avatar_definition]) ).
thf(f21103,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_633 ),
inference(avatar_component_clause,[],[f21102]) ).
thf(f21105,definition,
( spl0_634
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_634])],[avatar_definition]) ).
thf(f21106,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_634 ),
inference(avatar_component_clause,[],[f21105]) ).
thf(f21165,definition,
( spl0_635
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_635])],[avatar_definition]) ).
thf(f21167,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| spl0_622 ),
inference(avatar_component_clause,[],[f20349]) ).
thf(f21201,definition,
( spl0_637
<=> ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_637])],[avatar_definition]) ).
thf(f21202,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_637 ),
inference(avatar_component_clause,[],[f21201]) ).
thf(f21263,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_17
| spl0_511
| ~ spl0_632 ),
inference(constrained_superposition,[],[f20572,f232]) ).
thf(f21264,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_17
| spl0_511
| ~ spl0_632 ),
inference(trivial_inequality_removal,[],[f21263]) ).
thf(f21268,plain,
( $false
| ~ spl0_17
| spl0_511
| ~ spl0_632 ),
inference(forward_subsumption_resolution,[],[f21264,f232]) ).
thf(f21269,plain,
( ~ spl0_17
| spl0_511
| ~ spl0_632 ),
inference(avatar_contradiction_clause,[],[f21268]) ).
thf(f21270,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_630 ),
inference(avatar_component_clause,[],[f20406]) ).
thf(f21280,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_635 ),
inference(avatar_component_clause,[],[f21165]) ).
thf(f21282,definition,
( spl0_639
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_639])],[avatar_definition]) ).
thf(f21283,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_639 ),
inference(avatar_component_clause,[],[f21282]) ).
thf(f21286,definition,
( spl0_640
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_640])],[avatar_definition]) ).
thf(f21287,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_640 ),
inference(avatar_component_clause,[],[f21286]) ).
thf(f21349,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_38
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f19771,f31]) ).
thf(f21356,definition,
( spl0_641
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_641])],[avatar_definition]) ).
thf(f21357,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_641 ),
inference(avatar_component_clause,[],[f21356]) ).
thf(f21360,definition,
( spl0_642
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_642])],[avatar_definition]) ).
thf(f21361,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_642 ),
inference(avatar_component_clause,[],[f21360]) ).
thf(f21362,plain,
( spl0_642
| spl0_31
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1811,f114,f410,f21360]) ).
thf(f21366,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_38
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f21349,f31]) ).
thf(f21368,plain,
( spl0_5
| spl0_38
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f21366,f1022,f499,f118]) ).
thf(f21391,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_639 ),
inference(constrained_superposition,[],[f76,f21283]) ).
thf(f21506,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_639 ),
inference(forward_subsumption_resolution,[],[f21391,f27]) ).
thf(f21537,plain,
( $false
| ~ spl0_639 ),
inference(forward_subsumption_resolution,[],[f21506,f26]) ).
thf(f21538,plain,
~ spl0_639,
inference(avatar_contradiction_clause,[],[f21537]) ).
thf(f21546,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f32,f411]) ).
thf(f21548,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f21546]) ).
thf(f21551,plain,
( spl0_89
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f21548,f410,f4202]) ).
thf(f21560,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_640 ),
inference(constrained_superposition,[],[f285,f21287]) ).
thf(f21665,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_640 ),
inference(forward_subsumption_resolution,[],[f21560,f27]) ).
thf(f21676,plain,
( $false
| ~ spl0_640 ),
inference(forward_subsumption_resolution,[],[f21665,f26]) ).
thf(f21677,plain,
~ spl0_640,
inference(avatar_contradiction_clause,[],[f21676]) ).
thf(f21714,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_43
| ~ spl0_511 ),
inference(constrained_superposition,[],[f577,f13056]) ).
thf(f21731,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_43
| ~ spl0_511 ),
inference(trivial_inequality_removal,[],[f21714]) ).
thf(f21734,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_43
| ~ spl0_511 ),
inference(constrained_superposition,[],[f21731,f35]) ).
thf(f21737,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_43
| ~ spl0_511 ),
inference(trivial_inequality_removal,[],[f21734]) ).
thf(f21739,plain,
( spl0_637
| ~ spl0_43
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f21737,f13055,f576,f21201]) ).
thf(f21760,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_43
| ~ spl0_630 ),
inference(constrained_superposition,[],[f577,f20407]) ).
thf(f21762,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_77
| ~ spl0_630 ),
inference(constrained_superposition,[],[f1821,f20407]) ).
thf(f21768,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_77
| ~ spl0_630 ),
inference(trivial_inequality_removal,[],[f21762]) ).
thf(f21771,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_43
| ~ spl0_630 ),
inference(trivial_inequality_removal,[],[f21760]) ).
thf(f21780,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_43
| ~ spl0_630 ),
inference(constrained_superposition,[],[f21771,f35]) ).
thf(f21783,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_43
| ~ spl0_630 ),
inference(trivial_inequality_removal,[],[f21780]) ).
thf(f21785,plain,
( spl0_634
| ~ spl0_43
| ~ spl0_630 ),
inference(avatar_split_clause,[],[f21783,f20406,f576,f21105]) ).
thf(f21828,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_41
| ~ spl0_511 ),
inference(constrained_superposition,[],[f562,f13056]) ).
thf(f21834,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_41
| ~ spl0_511 ),
inference(trivial_inequality_removal,[],[f21828]) ).
thf(f21838,plain,
( spl0_509
| ~ spl0_41
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f21834,f13055,f561,f13045]) ).
thf(f21839,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_509
| ~ spl0_614 ),
inference(constrained_superposition,[],[f13046,f20065]) ).
thf(f21851,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_509
| ~ spl0_614 ),
inference(trivial_inequality_removal,[],[f21839]) ).
thf(f21855,plain,
( $false
| ~ spl0_509
| ~ spl0_614
| ~ spl0_630 ),
inference(forward_subsumption_resolution,[],[f21851,f20407]) ).
thf(f21856,plain,
( ~ spl0_509
| ~ spl0_614
| ~ spl0_630 ),
inference(avatar_contradiction_clause,[],[f21855]) ).
thf(f21906,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_42 ),
inference(constrained_superposition,[],[f2974,f565]) ).
thf(f21910,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f21906]) ).
thf(f21919,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f21910,f411]) ).
thf(f21923,plain,
( spl0_50
| ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f21919,f564,f410,f231,f125,f785]) ).
thf(f21926,definition,
( spl0_644
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_644])],[avatar_definition]) ).
thf(f21927,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_644 ),
inference(avatar_component_clause,[],[f21926]) ).
thf(f21928,plain,
( ~ spl0_644
| spl0_31
| ~ spl0_77
| ~ spl0_630 ),
inference(avatar_split_clause,[],[f21768,f20406,f1820,f410,f21926]) ).
thf(f21939,definition,
( spl0_647
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_647])],[avatar_definition]) ).
thf(f21940,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_647 ),
inference(avatar_component_clause,[],[f21939]) ).
thf(f21942,definition,
( spl0_648
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_648])],[avatar_definition]) ).
thf(f21943,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_648 ),
inference(avatar_component_clause,[],[f21942]) ).
thf(f21949,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_1
| ~ spl0_26 ),
inference(constrained_superposition,[],[f1233,f51]) ).
thf(f21955,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_26 ),
inference(duplicate_literal_removal,[],[f21949]) ).
thf(f21956,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_1
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f21955]) ).
thf(f21976,definition,
( spl0_649
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_649])],[avatar_definition]) ).
thf(f21977,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_649 ),
inference(avatar_component_clause,[],[f21976]) ).
thf(f22028,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_26 ),
inference(constrained_superposition,[],[f21956,f285]) ).
thf(f22032,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_1
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f22028]) ).
thf(f22466,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f235,f29]) ).
thf(f22470,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_18
| ~ spl0_59 ),
inference(constrained_superposition,[],[f235,f19998]) ).
thf(f22472,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_18
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f22470]) ).
thf(f22475,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f22466]) ).
thf(f22476,plain,
( spl0_465
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f22475,f234,f12030]) ).
thf(f22482,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_18
| ~ spl0_59 ),
inference(constrained_superposition,[],[f22472,f29]) ).
thf(f22483,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true ) )
| ~ spl0_18
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f22482]) ).
thf(f22627,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_1
| ~ spl0_649 ),
inference(constrained_superposition,[],[f21977,f51]) ).
thf(f22629,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_1
| ~ spl0_649 ),
inference(trivial_inequality_removal,[],[f22627]) ).
thf(f22635,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_1
| ~ spl0_649 ),
inference(forward_subsumption_resolution,[],[f22629,f51]) ).
thf(f22638,plain,
( $false
| ~ spl0_1
| ~ spl0_649 ),
inference(forward_subsumption_resolution,[],[f22635,f51]) ).
thf(f22639,plain,
( ~ spl0_1
| ~ spl0_649 ),
inference(avatar_contradiction_clause,[],[f22638]) ).
thf(f22656,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_46 ),
inference(constrained_superposition,[],[f1270,f51]) ).
thf(f22660,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f22656]) ).
thf(f22661,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f22660,f51]) ).
thf(f22662,plain,
( spl0_79
| ~ spl0_1
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f22661,f652,f50,f2499]) ).
thf(f22663,plain,
( spl0_46
| spl0_62 ),
inference(avatar_split_clause,[],[f16784,f1208,f652]) ).
thf(f22665,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_56
| spl0_62 ),
inference(forward_subsumption_resolution,[],[f16783,f13886]) ).
thf(f22672,plain,
( spl0_46
| spl0_56
| spl0_62 ),
inference(avatar_split_clause,[],[f22665,f1208,f1019,f652]) ).
thf(f22674,definition,
( spl0_658
<=> ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_658])],[avatar_definition]) ).
thf(f22675,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_658 ),
inference(avatar_component_clause,[],[f22674]) ).
thf(f22716,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_45
| ~ spl0_71 ),
inference(constrained_superposition,[],[f650,f1589]) ).
thf(f22721,plain,
( ! [X0: $i] :
( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ~ spl0_45
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f22716]) ).
thf(f22726,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_45
| ~ spl0_71 ),
inference(constrained_superposition,[],[f22721,f76]) ).
thf(f22730,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_45
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f22726]) ).
thf(f22759,plain,
( spl0_658
| ~ spl0_45
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f22730,f1588,f649,f22674]) ).
thf(f22776,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_63
| ~ spl0_79 ),
inference(constrained_superposition,[],[f2500,f1212]) ).
thf(f22778,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ~ spl0_63
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f22776]) ).
thf(f22780,plain,
( $false
| ~ spl0_1
| ~ spl0_63
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f22778,f51]) ).
thf(f22781,plain,
( ~ spl0_1
| ~ spl0_63
| ~ spl0_79 ),
inference(avatar_contradiction_clause,[],[f22780]) ).
thf(f22783,plain,
( spl0_52
| ~ spl0_1
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f22032,f357,f50,f798]) ).
thf(f22836,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_45
| ~ spl0_630 ),
inference(constrained_superposition,[],[f650,f20407]) ).
thf(f22837,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_45
| ~ spl0_511 ),
inference(constrained_superposition,[],[f650,f13056]) ).
thf(f22841,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_45
| ~ spl0_630 ),
inference(trivial_inequality_removal,[],[f22836]) ).
thf(f22846,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_45
| ~ spl0_511 ),
inference(trivial_inequality_removal,[],[f22837]) ).
thf(f22849,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_45
| ~ spl0_511 ),
inference(constrained_superposition,[],[f22846,f29]) ).
thf(f22852,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_45
| ~ spl0_511 ),
inference(trivial_inequality_removal,[],[f22849]) ).
thf(f22855,plain,
( spl0_639
| spl0_647
| ~ spl0_45
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f22852,f13055,f649,f21939,f21282]) ).
thf(f22875,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_45
| ~ spl0_630 ),
inference(constrained_superposition,[],[f22841,f37]) ).
thf(f22877,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_45
| ~ spl0_630 ),
inference(trivial_inequality_removal,[],[f22875]) ).
thf(f22880,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_45
| ~ spl0_630 ),
inference(forward_subsumption_resolution,[],[f22877,f31]) ).
thf(f22882,definition,
( spl0_659
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_659])],[avatar_definition]) ).
thf(f22883,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_659 ),
inference(avatar_component_clause,[],[f22882]) ).
thf(f22885,definition,
( spl0_660
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_660])],[avatar_definition]) ).
thf(f22886,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_660 ),
inference(avatar_component_clause,[],[f22885]) ).
thf(f22888,plain,
( spl0_659
| ~ spl0_45
| ~ spl0_630 ),
inference(avatar_split_clause,[],[f22880,f20406,f649,f22882]) ).
thf(f23327,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_616 ),
inference(constrained_superposition,[],[f60,f20072]) ).
thf(f23338,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_616 ),
inference(trivial_inequality_removal,[],[f23327]) ).
thf(f23351,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_89 ),
inference(constrained_superposition,[],[f4203,f51]) ).
thf(f23356,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_1
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f23351]) ).
thf(f23360,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f23356,f51]) ).
thf(f23361,plain,
( spl0_74
| ~ spl0_1
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f23360,f4202,f50,f1614]) ).
thf(f23362,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_74 ),
inference(constrained_superposition,[],[f1615,f285]) ).
thf(f23363,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_74
| ~ spl0_612 ),
inference(constrained_superposition,[],[f1615,f19850]) ).
thf(f23364,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_74
| ~ spl0_635 ),
inference(constrained_superposition,[],[f1615,f21280]) ).
thf(f23368,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_74
| ~ spl0_612 ),
inference(trivial_inequality_removal,[],[f23363]) ).
thf(f23369,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_74
| ~ spl0_635 ),
inference(trivial_inequality_removal,[],[f23364]) ).
thf(f23370,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f23362]) ).
thf(f23373,plain,
( $false
| ~ spl0_1
| ~ spl0_74
| ~ spl0_612 ),
inference(forward_subsumption_resolution,[],[f23368,f51]) ).
thf(f23374,plain,
( ~ spl0_1
| ~ spl0_74
| ~ spl0_612 ),
inference(avatar_contradiction_clause,[],[f23373]) ).
thf(f23375,plain,
( $false
| ~ spl0_1
| ~ spl0_74
| ~ spl0_635 ),
inference(forward_subsumption_resolution,[],[f23369,f51]) ).
thf(f23376,plain,
( ~ spl0_1
| ~ spl0_74
| ~ spl0_635 ),
inference(avatar_contradiction_clause,[],[f23375]) ).
thf(f23377,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_1
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f23370,f51]) ).
thf(f23378,plain,
( spl0_71
| ~ spl0_1
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f23377,f1614,f50,f1588]) ).
thf(f23393,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_631 ),
inference(constrained_superposition,[],[f20410,f51]) ).
thf(f23396,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_1
| ~ spl0_631 ),
inference(trivial_inequality_removal,[],[f23393]) ).
thf(f23399,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_1
| ~ spl0_631 ),
inference(forward_subsumption_resolution,[],[f23396,f51]) ).
thf(f23402,plain,
( $false
| ~ spl0_1
| ~ spl0_631 ),
inference(forward_subsumption_resolution,[],[f23399,f51]) ).
thf(f23403,plain,
( ~ spl0_1
| ~ spl0_631 ),
inference(avatar_contradiction_clause,[],[f23402]) ).
thf(f23433,plain,
( spl0_641
| spl0_507
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f23338,f20071,f13038,f21356]) ).
thf(f23460,definition,
( spl0_661
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_661])],[avatar_definition]) ).
thf(f23461,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_661 ),
inference(avatar_component_clause,[],[f23460]) ).
thf(f23464,definition,
( spl0_662
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_662])],[avatar_definition]) ).
thf(f23465,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_662 ),
inference(avatar_component_clause,[],[f23464]) ).
thf(f23467,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| spl0_662 ),
inference(constrained_superposition,[],[f23465,f76]) ).
thf(f23471,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_662 ),
inference(trivial_inequality_removal,[],[f23467]) ).
thf(f23474,plain,
( spl0_647
| spl0_662 ),
inference(avatar_split_clause,[],[f23471,f23464,f21939]) ).
thf(f23505,definition,
( spl0_663
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_663])],[avatar_definition]) ).
thf(f23506,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ~ spl0_663 ),
inference(avatar_component_clause,[],[f23505]) ).
thf(f23508,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f32,f112]) ).
thf(f23509,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f23508]) ).
thf(f23510,plain,
( spl0_85
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f23509,f111,f4182]) ).
thf(f23527,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_26
| ~ spl0_38 ),
inference(constrained_superposition,[],[f1233,f500]) ).
thf(f23529,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_26
| ~ spl0_38 ),
inference(duplicate_literal_removal,[],[f23527]) ).
thf(f23530,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_26
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f23529]) ).
thf(f23554,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_511 ),
inference(constrained_superposition,[],[f108,f13056]) ).
thf(f23559,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_511 ),
inference(trivial_inequality_removal,[],[f23554]) ).
thf(f23568,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_31
| ~ spl0_511 ),
inference(forward_subsumption_resolution,[],[f23559,f850]) ).
thf(f23570,definition,
( spl0_664
<=> ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_664])],[avatar_definition]) ).
thf(f23571,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_664 ),
inference(avatar_component_clause,[],[f23570]) ).
thf(f23576,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_664 ),
inference(constrained_superposition,[],[f23571,f35]) ).
thf(f23579,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_664 ),
inference(trivial_inequality_removal,[],[f23576]) ).
thf(f23607,definition,
( spl0_665
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_665])],[avatar_definition]) ).
thf(f23608,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_665 ),
inference(avatar_component_clause,[],[f23607]) ).
thf(f23616,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_665 ),
inference(constrained_superposition,[],[f23608,f35]) ).
thf(f23618,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_665 ),
inference(trivial_inequality_removal,[],[f23616]) ).
thf(f23624,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f29]) ).
thf(f23625,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f36]) ).
thf(f23626,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f23625]) ).
thf(f23627,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f23624]) ).
thf(f23631,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_40
| ~ spl0_615 ),
inference(constrained_superposition,[],[f536,f20068]) ).
thf(f23634,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_40
| ~ spl0_615 ),
inference(trivial_inequality_removal,[],[f23631]) ).
thf(f23643,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_40
| ~ spl0_617 ),
inference(constrained_superposition,[],[f536,f20075]) ).
thf(f23644,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_617 ),
inference(constrained_superposition,[],[f298,f20075]) ).
thf(f23645,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_617 ),
inference(constrained_superposition,[],[f32,f20075]) ).
thf(f23648,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_617 ),
inference(trivial_inequality_removal,[],[f23644]) ).
thf(f23649,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_617 ),
inference(trivial_inequality_removal,[],[f23645]) ).
thf(f23651,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_40
| ~ spl0_617 ),
inference(trivial_inequality_removal,[],[f23643]) ).
thf(f23705,definition,
( spl0_666
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_666])],[avatar_definition]) ).
thf(f23706,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_666 ),
inference(avatar_component_clause,[],[f23705]) ).
thf(f23753,plain,
( spl0_634
| spl0_665 ),
inference(avatar_split_clause,[],[f23618,f23607,f21105]) ).
thf(f23755,plain,
( spl0_637
| spl0_664 ),
inference(avatar_split_clause,[],[f23579,f23570,f21201]) ).
thf(f23831,definition,
( spl0_667
<=> ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_667])],[avatar_definition]) ).
thf(f23832,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_667 ),
inference(avatar_component_clause,[],[f23831]) ).
thf(f23839,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f20270,f35]) ).
thf(f23844,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f20270,f76]) ).
thf(f23848,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f23839]) ).
thf(f23850,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f23844]) ).
thf(f23925,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_38
| ~ spl0_46 ),
inference(constrained_superposition,[],[f23530,f653]) ).
thf(f23930,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_26
| ~ spl0_38
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f23925]) ).
thf(f23931,plain,
( $false
| ~ spl0_3
| ~ spl0_26
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f23930,f112]) ).
thf(f23932,plain,
( ~ spl0_3
| ~ spl0_26
| ~ spl0_38
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f23931]) ).
thf(f24044,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| spl0_31
| ~ spl0_511 ),
inference(constrained_superposition,[],[f23568,f13056]) ).
thf(f24051,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| spl0_31
| ~ spl0_511 ),
inference(trivial_inequality_removal,[],[f24044]) ).
thf(f24054,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_31
| ~ spl0_59
| ~ spl0_511 ),
inference(forward_subsumption_resolution,[],[f24051,f19998]) ).
thf(f24059,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| spl0_31
| ~ spl0_59
| ~ spl0_511 ),
inference(constrained_superposition,[],[f24054,f76]) ).
thf(f24061,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_31
| ~ spl0_59
| ~ spl0_511 ),
inference(trivial_inequality_removal,[],[f24059]) ).
thf(f24065,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_31
| ~ spl0_59
| ~ spl0_62
| ~ spl0_511 ),
inference(forward_subsumption_resolution,[],[f24061,f14944]) ).
thf(f24066,plain,
( spl0_647
| spl0_31
| ~ spl0_59
| ~ spl0_62
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f24065,f13055,f1208,f1197,f410,f21939]) ).
thf(f24152,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_39
| ~ spl0_630 ),
inference(constrained_superposition,[],[f520,f20407]) ).
thf(f24153,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_39
| ~ spl0_511 ),
inference(constrained_superposition,[],[f520,f13056]) ).
thf(f24157,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_39
| ~ spl0_511 ),
inference(trivial_inequality_removal,[],[f24153]) ).
thf(f24159,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_39
| ~ spl0_630 ),
inference(trivial_inequality_removal,[],[f24152]) ).
thf(f24162,plain,
( ~ spl0_526
| ~ spl0_39
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f24157,f13055,f519,f13145]) ).
thf(f24163,plain,
( ~ spl0_627
| ~ spl0_39
| ~ spl0_630 ),
inference(avatar_split_clause,[],[f24159,f20406,f519,f20368]) ).
thf(f24165,plain,
( spl0_511
| spl0_631
| ~ spl0_617 ),
inference(avatar_split_clause,[],[f23648,f20074,f20409,f13055]) ).
thf(f24186,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f577,f37]) ).
thf(f24191,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f24186]) ).
thf(f24205,definition,
( spl0_669
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_669])],[avatar_definition]) ).
thf(f24206,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_669 ),
inference(avatar_component_clause,[],[f24205]) ).
thf(f24216,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_635 ),
inference(constrained_superposition,[],[f32,f21280]) ).
thf(f24218,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_635 ),
inference(trivial_inequality_removal,[],[f24216]) ).
thf(f24222,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_615
| ~ spl0_669 ),
inference(constrained_superposition,[],[f24206,f20068]) ).
thf(f24224,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_615
| ~ spl0_669 ),
inference(trivial_inequality_removal,[],[f24222]) ).
thf(f24228,plain,
( $false
| ~ spl0_612
| ~ spl0_615
| ~ spl0_669 ),
inference(forward_subsumption_resolution,[],[f24224,f19850]) ).
thf(f24229,plain,
( ~ spl0_612
| ~ spl0_615
| ~ spl0_669 ),
inference(avatar_contradiction_clause,[],[f24228]) ).
thf(f24376,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_633 ),
inference(constrained_superposition,[],[f21103,f286]) ).
thf(f24378,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_633 ),
inference(trivial_inequality_removal,[],[f24376]) ).
thf(f24384,definition,
( spl0_670
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_670])],[avatar_definition]) ).
thf(f24385,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_670 ),
inference(avatar_component_clause,[],[f24384]) ).
thf(f24386,plain,
( spl0_670
| spl0_632
| ~ spl0_633 ),
inference(avatar_split_clause,[],[f24378,f21102,f20545,f24384]) ).
thf(f24543,definition,
( spl0_675
<=> ! [X2: $i,X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_675])],[avatar_definition]) ).
thf(f24544,plain,
( ! [X2: $i,X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_675 ),
inference(avatar_component_clause,[],[f24543]) ).
thf(f24550,definition,
( spl0_677
<=> ! [X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_677])],[avatar_definition]) ).
thf(f24551,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_677 ),
inference(avatar_component_clause,[],[f24550]) ).
thf(f24921,definition,
( spl0_683
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_683])],[avatar_definition]) ).
thf(f24922,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_683 ),
inference(avatar_component_clause,[],[f24921]) ).
thf(f25147,definition,
( spl0_686
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_686])],[avatar_definition]) ).
thf(f25148,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_686 ),
inference(avatar_component_clause,[],[f25147]) ).
thf(f25177,definition,
( spl0_688
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_688])],[avatar_definition]) ).
thf(f25178,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_688 ),
inference(avatar_component_clause,[],[f25177]) ).
thf(f25231,definition,
( spl0_691
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_691])],[avatar_definition]) ).
thf(f25232,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_691 ),
inference(avatar_component_clause,[],[f25231]) ).
thf(f25268,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_615
| ~ spl0_617 ),
inference(constrained_superposition,[],[f23649,f20068]) ).
thf(f25272,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_615
| ~ spl0_617 ),
inference(duplicate_literal_removal,[],[f25268]) ).
thf(f25273,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_615
| ~ spl0_617 ),
inference(trivial_inequality_removal,[],[f25272]) ).
thf(f25661,definition,
( spl0_693
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_693])],[avatar_definition]) ).
thf(f25662,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_693 ),
inference(avatar_component_clause,[],[f25661]) ).
thf(f25664,definition,
( spl0_694
<=> ! [X1: $i] :
( ( ( s @ z )
= X1 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_694])],[avatar_definition]) ).
thf(f25665,plain,
( ! [X1: $i] :
( ( ( s @ ( s @ z ) )
= X1 )
| ( ( s @ z )
= X1 )
| ( z = X1 ) )
| ~ spl0_694 ),
inference(avatar_component_clause,[],[f25664]) ).
thf(f25674,definition,
( spl0_696
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_696])],[avatar_definition]) ).
thf(f25675,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl0_696 ),
inference(avatar_component_clause,[],[f25674]) ).
thf(f25684,definition,
( spl0_697
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_697])],[avatar_definition]) ).
thf(f25685,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_697 ),
inference(avatar_component_clause,[],[f25684]) ).
thf(f25691,definition,
( spl0_698
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_698])],[avatar_definition]) ).
thf(f25692,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_698 ),
inference(avatar_component_clause,[],[f25691]) ).
thf(f25742,definition,
( spl0_700
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_700])],[avatar_definition]) ).
thf(f25743,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_700 ),
inference(avatar_component_clause,[],[f25742]) ).
thf(f25785,definition,
( spl0_704
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_704])],[avatar_definition]) ).
thf(f25786,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_704 ),
inference(avatar_component_clause,[],[f25785]) ).
thf(f25789,definition,
( spl0_705
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_705])],[avatar_definition]) ).
thf(f25790,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_705 ),
inference(avatar_component_clause,[],[f25789]) ).
thf(f29447,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_694 ),
inference(constrained_superposition,[],[f285,f25665]) ).
thf(f29533,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_694 ),
inference(forward_subsumption_resolution,[],[f29447,f26]) ).
thf(f29584,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_694 ),
inference(forward_subsumption_resolution,[],[f29533,f27]) ).
thf(f29621,plain,
( ! [X0: $i] :
( ( s @ z )
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_694 ),
inference(forward_subsumption_resolution,[],[f29584,f31]) ).
thf(f29634,plain,
( spl0_576
| ~ spl0_694 ),
inference(avatar_split_clause,[],[f29621,f25664,f14188]) ).
thf(f30922,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X1 ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f23627,f29]) ).
thf(f30925,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f30922]) ).
thf(f31471,definition,
( spl0_760
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_760])],[avatar_definition]) ).
thf(f31472,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_760 ),
inference(avatar_component_clause,[],[f31471]) ).
thf(f31514,definition,
( spl0_761
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_761])],[avatar_definition]) ).
thf(f31515,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_761 ),
inference(avatar_component_clause,[],[f31514]) ).
thf(f31519,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_761 ),
inference(constrained_superposition,[],[f23626,f31515]) ).
thf(f31533,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_761 ),
inference(trivial_inequality_removal,[],[f31519]) ).
thf(f31549,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_663
| ~ spl0_761 ),
inference(forward_subsumption_resolution,[],[f31533,f23506]) ).
thf(f31558,definition,
( spl0_764
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_764])],[avatar_definition]) ).
thf(f31559,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| spl0_764 ),
inference(avatar_component_clause,[],[f31558]) ).
thf(f31566,plain,
( ~ spl0_526
| ~ spl0_2
| ~ spl0_663
| ~ spl0_761 ),
inference(avatar_split_clause,[],[f31549,f31514,f23505,f53,f13145]) ).
thf(f31688,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_683 ),
inference(constrained_superposition,[],[f24922,f35]) ).
thf(f31691,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_683 ),
inference(constrained_superposition,[],[f24922,f76]) ).
thf(f31693,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_683 ),
inference(trivial_inequality_removal,[],[f31688]) ).
thf(f31696,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_683 ),
inference(trivial_inequality_removal,[],[f31691]) ).
thf(f31697,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_70
| ~ spl0_683 ),
inference(forward_subsumption_resolution,[],[f31693,f17230]) ).
thf(f31698,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_62
| ~ spl0_683 ),
inference(forward_subsumption_resolution,[],[f31696,f14944]) ).
thf(f31699,plain,
( spl0_637
| ~ spl0_70
| ~ spl0_683 ),
inference(avatar_split_clause,[],[f31697,f24921,f1452,f21201]) ).
thf(f31700,plain,
( spl0_647
| ~ spl0_62
| ~ spl0_683 ),
inference(avatar_split_clause,[],[f31698,f24921,f1208,f21939]) ).
thf(f31839,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_366 ),
inference(constrained_superposition,[],[f27,f10821]) ).
thf(f31863,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f31839]) ).
thf(f31875,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_647 ),
inference(avatar_component_clause,[],[f21939]) ).
thf(f31887,plain,
( spl0_694
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f31863,f10820,f25664]) ).
thf(f32285,definition,
( spl0_768
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X2 ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_768])],[avatar_definition]) ).
thf(f32286,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X2 ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X0 )
!= $true ) )
| ~ spl0_768 ),
inference(avatar_component_clause,[],[f32285]) ).
thf(f33878,definition,
( spl0_844
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_844])],[avatar_definition]) ).
thf(f33879,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_844 ),
inference(avatar_component_clause,[],[f33878]) ).
thf(f33941,definition,
( spl0_847
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X2 ) ) ) ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_847])],[avatar_definition]) ).
thf(f33942,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X2 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_847 ),
inference(avatar_component_clause,[],[f33941]) ).
thf(f34058,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_14
| ~ spl0_59 ),
inference(constrained_superposition,[],[f199,f19998]) ).
thf(f34059,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_14
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f34058]) ).
thf(f35291,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f24191,f35]) ).
thf(f35293,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f35291]) ).
thf(f35311,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ~ spl0_43
| spl0_46 ),
inference(constrained_superposition,[],[f780,f35293]) ).
thf(f35317,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ~ spl0_43
| spl0_46 ),
inference(trivial_inequality_removal,[],[f35311]) ).
thf(f35320,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_18
| ~ spl0_59 ),
inference(constrained_superposition,[],[f22483,f35]) ).
thf(f35323,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_18
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f35320]) ).
thf(f35662,definition,
( spl0_876
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_876])],[avatar_definition]) ).
thf(f35663,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_876 ),
inference(avatar_component_clause,[],[f35662]) ).
thf(f39927,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
!= $true )
| ( ( s @ X0 )
= X1 )
| ( z = X1 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_59
| ~ spl0_432 ),
inference(constrained_superposition,[],[f11088,f19998]) ).
thf(f39932,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
!= $true )
| ( z = X1 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( s @ X0 )
= X1 ) )
| ~ spl0_59
| ~ spl0_432 ),
inference(trivial_inequality_removal,[],[f39927]) ).
thf(f39935,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_59
| ~ spl0_432 ),
inference(constrained_superposition,[],[f39932,f75]) ).
thf(f39942,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_59
| ~ spl0_432 ),
inference(trivial_inequality_removal,[],[f39935]) ).
thf(f39944,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| spl0_31
| ~ spl0_59
| ~ spl0_432 ),
inference(forward_subsumption_resolution,[],[f39942,f850]) ).
thf(f39945,plain,
( spl0_694
| spl0_31
| ~ spl0_59
| ~ spl0_432 ),
inference(avatar_split_clause,[],[f39944,f11087,f1197,f410,f25664]) ).
thf(f41460,definition,
( spl0_984
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_984])],[avatar_definition]) ).
thf(f41461,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_984 ),
inference(avatar_component_clause,[],[f41460]) ).
thf(f44147,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_632 ),
inference(avatar_component_clause,[],[f20545]) ).
thf(f44165,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_615
| ~ spl0_617
| ~ spl0_634 ),
inference(constrained_superposition,[],[f25273,f21106]) ).
thf(f44190,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_615
| ~ spl0_617
| ~ spl0_634 ),
inference(trivial_inequality_removal,[],[f44165]) ).
thf(f44203,plain,
( $false
| ~ spl0_615
| ~ spl0_617
| ~ spl0_634
| ~ spl0_637 ),
inference(forward_subsumption_resolution,[],[f44190,f21202]) ).
thf(f44204,plain,
( ~ spl0_615
| ~ spl0_617
| ~ spl0_634
| ~ spl0_637 ),
inference(avatar_contradiction_clause,[],[f44203]) ).
thf(f44213,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_637 ),
inference(avatar_component_clause,[],[f21201]) ).
thf(f44215,plain,
( ~ spl0_637
| ~ spl0_615
| ~ spl0_617
| ~ spl0_634 ),
inference(avatar_split_clause,[],[f44190,f21105,f20074,f20067,f21201]) ).
thf(f44227,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| spl0_632 ),
inference(constrained_superposition,[],[f44147,f77]) ).
thf(f44232,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_632 ),
inference(trivial_inequality_removal,[],[f44227]) ).
thf(f44239,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_632 ),
inference(forward_subsumption_resolution,[],[f44232,f31]) ).
thf(f44240,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_14
| ~ spl0_59
| spl0_632 ),
inference(constrained_superposition,[],[f34059,f44239]) ).
thf(f44241,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_20
| spl0_632 ),
inference(constrained_superposition,[],[f335,f44239]) ).
thf(f44268,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_20
| spl0_632 ),
inference(trivial_inequality_removal,[],[f44241]) ).
thf(f44275,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_14
| ~ spl0_59
| spl0_632 ),
inference(trivial_inequality_removal,[],[f44240]) ).
thf(f44281,plain,
( ~ spl0_526
| spl0_683
| ~ spl0_20
| spl0_632 ),
inference(avatar_split_clause,[],[f44268,f20545,f334,f24921,f13145]) ).
thf(f44283,plain,
( ~ spl0_526
| ~ spl0_662
| ~ spl0_14
| ~ spl0_59
| spl0_632 ),
inference(avatar_split_clause,[],[f44275,f20545,f1197,f198,f23464,f13145]) ).
thf(f44294,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_632 ),
inference(constrained_superposition,[],[f32,f20546]) ).
thf(f44302,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_632 ),
inference(trivial_inequality_removal,[],[f44294]) ).
thf(f44308,plain,
( spl0_704
| ~ spl0_632 ),
inference(avatar_split_clause,[],[f44302,f20545,f25785]) ).
thf(f44313,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_617
| ~ spl0_700 ),
inference(constrained_superposition,[],[f25743,f20075]) ).
thf(f44321,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_617
| ~ spl0_700 ),
inference(trivial_inequality_removal,[],[f44313]) ).
thf(f44327,plain,
( $false
| ~ spl0_617
| ~ spl0_635
| ~ spl0_700 ),
inference(forward_subsumption_resolution,[],[f44321,f21280]) ).
thf(f44328,plain,
( ~ spl0_617
| ~ spl0_635
| ~ spl0_700 ),
inference(avatar_contradiction_clause,[],[f44327]) ).
thf(f44344,definition,
( spl0_1075
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1075])],[avatar_definition]) ).
thf(f44345,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_1075 ),
inference(avatar_component_clause,[],[f44344]) ).
thf(f44353,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_40
| ~ spl0_617
| ~ spl0_635 ),
inference(forward_subsumption_resolution,[],[f23651,f21280]) ).
thf(f44356,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_43
| spl0_46 ),
inference(forward_subsumption_resolution,[],[f35317,f31]) ).
thf(f44366,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_40
| spl0_511
| ~ spl0_617
| ~ spl0_635 ),
inference(forward_subsumption_resolution,[],[f44353,f13111]) ).
thf(f44367,plain,
( spl0_5
| ~ spl0_43
| spl0_46 ),
inference(avatar_split_clause,[],[f44356,f652,f576,f118]) ).
thf(f44368,plain,
( ~ spl0_622
| ~ spl0_40
| spl0_511
| ~ spl0_617
| ~ spl0_635 ),
inference(avatar_split_clause,[],[f44366,f21165,f20074,f13055,f535,f20349]) ).
thf(f44370,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_26
| ~ spl0_38 ),
inference(constrained_superposition,[],[f1233,f500]) ).
thf(f44371,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f32,f500]) ).
thf(f44372,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_26
| ~ spl0_38 ),
inference(duplicate_literal_removal,[],[f44370]) ).
thf(f44373,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_26
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f44372]) ).
thf(f44374,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f44371]) ).
thf(f44375,plain,
( spl0_691
| ~ spl0_26
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f44373,f499,f357,f25231]) ).
thf(f44376,plain,
( spl0_697
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f44374,f499,f25684]) ).
thf(f44395,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f1303,f29]) ).
thf(f44398,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f1303,f75]) ).
thf(f44402,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f44398]) ).
thf(f44404,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f44395]) ).
thf(f44406,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| spl0_632 ),
inference(constrained_superposition,[],[f44147,f77]) ).
thf(f44410,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ z ) )
| spl0_632 ),
inference(trivial_inequality_removal,[],[f44406]) ).
thf(f44413,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_632 ),
inference(forward_subsumption_resolution,[],[f44410,f31]) ).
thf(f44426,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| spl0_632 ),
inference(constrained_superposition,[],[f60,f44413]) ).
thf(f44440,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| spl0_632 ),
inference(trivial_inequality_removal,[],[f44426]) ).
thf(f44449,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_612 ),
inference(avatar_component_clause,[],[f19849]) ).
thf(f44450,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_507 ),
inference(avatar_component_clause,[],[f13038]) ).
thf(f44454,plain,
( spl0_507
| spl0_20
| spl0_632 ),
inference(avatar_split_clause,[],[f44440,f20545,f334,f13038]) ).
thf(f44455,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_40
| ~ spl0_615
| spl0_630 ),
inference(forward_subsumption_resolution,[],[f23634,f21270]) ).
thf(f44456,plain,
( ~ spl0_612
| ~ spl0_507
| ~ spl0_40
| ~ spl0_615
| spl0_630 ),
inference(avatar_split_clause,[],[f44455,f20406,f20067,f535,f13038,f19849]) ).
thf(f44471,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_647 ),
inference(constrained_superposition,[],[f32,f21940]) ).
thf(f44476,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_647 ),
inference(trivial_inequality_removal,[],[f44471]) ).
thf(f44481,plain,
( spl0_696
| ~ spl0_647 ),
inference(avatar_split_clause,[],[f44476,f21939,f25674]) ).
thf(f44580,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_625
| ~ spl0_635 ),
inference(constrained_superposition,[],[f24218,f20361]) ).
thf(f44593,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_625
| ~ spl0_635 ),
inference(duplicate_literal_removal,[],[f44580]) ).
thf(f44594,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_625
| ~ spl0_635 ),
inference(trivial_inequality_removal,[],[f44593]) ).
thf(f44604,plain,
( spl0_669
| ~ spl0_625
| ~ spl0_635 ),
inference(avatar_split_clause,[],[f44594,f21165,f20360,f24205]) ).
thf(f44658,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f44404,f35]) ).
thf(f44659,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f44404,f29]) ).
thf(f44660,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f44659]) ).
thf(f44661,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f44658]) ).
thf(f44662,plain,
( spl0_105
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f44660,f1302,f4310]) ).
thf(f44663,plain,
( spl0_107
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f44661,f1302,f4318]) ).
thf(f44681,definition,
( spl0_1077
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1077])],[avatar_definition]) ).
thf(f44682,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_1077 ),
inference(avatar_component_clause,[],[f44681]) ).
thf(f44704,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f44402,f35]) ).
thf(f44707,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f44704]) ).
thf(f44709,plain,
( spl0_10
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f44707,f1302,f158]) ).
thf(f44724,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_634
| ~ spl0_669 ),
inference(constrained_superposition,[],[f24206,f21106]) ).
thf(f44733,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_634
| ~ spl0_669 ),
inference(trivial_inequality_removal,[],[f44724]) ).
thf(f44735,plain,
( $false
| ~ spl0_38
| ~ spl0_634
| ~ spl0_669 ),
inference(forward_subsumption_resolution,[],[f44733,f500]) ).
thf(f44736,plain,
( ~ spl0_38
| ~ spl0_634
| ~ spl0_669 ),
inference(avatar_contradiction_clause,[],[f44735]) ).
thf(f44809,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_614
| ~ spl0_642 ),
inference(constrained_superposition,[],[f21361,f20065]) ).
thf(f44816,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_614 ),
inference(constrained_superposition,[],[f30925,f20065]) ).
thf(f44823,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_614 ),
inference(trivial_inequality_removal,[],[f44816]) ).
thf(f44830,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_614
| ~ spl0_642 ),
inference(trivial_inequality_removal,[],[f44809]) ).
thf(f44865,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_637 ),
inference(constrained_superposition,[],[f32,f21202]) ).
thf(f44866,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_637 ),
inference(trivial_inequality_removal,[],[f44865]) ).
thf(f44892,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_637
| ~ spl0_647 ),
inference(constrained_superposition,[],[f44866,f21940]) ).
thf(f44897,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_637
| ~ spl0_647 ),
inference(trivial_inequality_removal,[],[f44892]) ).
thf(f44900,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_3
| ~ spl0_637
| ~ spl0_647 ),
inference(forward_subsumption_resolution,[],[f44897,f112]) ).
thf(f44901,plain,
( spl0_53
| ~ spl0_3
| ~ spl0_637
| ~ spl0_647 ),
inference(avatar_split_clause,[],[f44900,f21939,f21201,f111,f804]) ).
thf(f44923,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_511
| ~ spl0_614
| ~ spl0_642 ),
inference(forward_subsumption_resolution,[],[f44830,f13056]) ).
thf(f44927,plain,
( spl0_625
| ~ spl0_627
| ~ spl0_511
| ~ spl0_614
| ~ spl0_642 ),
inference(avatar_split_clause,[],[f44923,f21360,f20064,f13055,f20368,f20360]) ).
thf(f44937,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_634 ),
inference(constrained_superposition,[],[f32,f21106]) ).
thf(f44945,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_634 ),
inference(trivial_inequality_removal,[],[f44937]) ).
thf(f44958,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_632 ),
inference(constrained_superposition,[],[f298,f20546]) ).
thf(f44966,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_632 ),
inference(duplicate_literal_removal,[],[f44958]) ).
thf(f44967,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_632 ),
inference(trivial_inequality_removal,[],[f44966]) ).
thf(f45044,definition,
( spl0_1080
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1080])],[avatar_definition]) ).
thf(f45045,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_1080 ),
inference(avatar_component_clause,[],[f45044]) ).
thf(f45051,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_616
| ~ spl0_1080 ),
inference(constrained_superposition,[],[f45045,f20072]) ).
thf(f45057,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_616
| ~ spl0_1080 ),
inference(trivial_inequality_removal,[],[f45051]) ).
thf(f45059,plain,
( ~ spl0_627
| ~ spl0_616
| ~ spl0_1080 ),
inference(avatar_split_clause,[],[f45057,f45044,f20071,f20368]) ).
thf(f45066,plain,
( spl0_511
| spl0_700
| ~ spl0_632 ),
inference(avatar_split_clause,[],[f44967,f20545,f25742,f13055]) ).
thf(f45067,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_614 ),
inference(forward_subsumption_resolution,[],[f44823,f31]) ).
thf(f45070,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_614 ),
inference(forward_subsumption_resolution,[],[f45067,f31]) ).
thf(f45071,plain,
( spl0_507
| spl0_622
| ~ spl0_2
| ~ spl0_614 ),
inference(avatar_split_clause,[],[f45070,f20064,f53,f20349,f13038]) ).
thf(f45097,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_612
| ~ spl0_691 ),
inference(constrained_superposition,[],[f25232,f19850]) ).
thf(f45103,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_612
| ~ spl0_691 ),
inference(trivial_inequality_removal,[],[f45097]) ).
thf(f45107,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_634
| ~ spl0_659 ),
inference(constrained_superposition,[],[f44945,f22883]) ).
thf(f45121,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_634
| ~ spl0_659 ),
inference(trivial_inequality_removal,[],[f45107]) ).
thf(f45127,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_3
| ~ spl0_634
| ~ spl0_659 ),
inference(forward_subsumption_resolution,[],[f45121,f112]) ).
thf(f45128,plain,
( spl0_53
| ~ spl0_3
| ~ spl0_634
| ~ spl0_659 ),
inference(avatar_split_clause,[],[f45127,f22882,f21105,f111,f804]) ).
thf(f45225,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_53
| ~ spl0_659 ),
inference(constrained_superposition,[],[f805,f22883]) ).
thf(f45229,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_53
| ~ spl0_659 ),
inference(trivial_inequality_removal,[],[f45225]) ).
thf(f45231,plain,
( $false
| ~ spl0_53
| ~ spl0_622
| ~ spl0_659 ),
inference(forward_subsumption_resolution,[],[f45229,f20350]) ).
thf(f45232,plain,
( ~ spl0_53
| ~ spl0_622
| ~ spl0_659 ),
inference(avatar_contradiction_clause,[],[f45231]) ).
thf(f45250,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| ~ spl0_616
| ~ spl0_641 ),
inference(constrained_superposition,[],[f21357,f20072]) ).
thf(f45279,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_616
| ~ spl0_641 ),
inference(trivial_inequality_removal,[],[f45250]) ).
thf(f45284,plain,
( ~ spl0_526
| spl0_626
| ~ spl0_616
| ~ spl0_641 ),
inference(avatar_split_clause,[],[f45279,f21356,f20071,f20364,f13145]) ).
thf(f45289,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_637
| ~ spl0_700 ),
inference(constrained_superposition,[],[f25743,f21202]) ).
thf(f45294,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_637
| ~ spl0_700 ),
inference(trivial_inequality_removal,[],[f45289]) ).
thf(f45296,plain,
( $false
| ~ spl0_38
| ~ spl0_637
| ~ spl0_700 ),
inference(forward_subsumption_resolution,[],[f45294,f500]) ).
thf(f45297,plain,
( ~ spl0_38
| ~ spl0_637
| ~ spl0_700 ),
inference(avatar_contradiction_clause,[],[f45296]) ).
thf(f45346,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f32,f565]) ).
thf(f45351,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f45346]) ).
thf(f45361,plain,
( spl0_847
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f45351,f564,f33941]) ).
thf(f45373,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_634 ),
inference(constrained_superposition,[],[f32,f21106]) ).
thf(f45381,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_634 ),
inference(trivial_inequality_removal,[],[f45373]) ).
thf(f46402,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_616
| ~ spl0_683 ),
inference(constrained_superposition,[],[f24922,f20072]) ).
thf(f46404,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_616
| ~ spl0_683 ),
inference(trivial_inequality_removal,[],[f46402]) ).
thf(f46410,plain,
( $false
| ~ spl0_616
| ~ spl0_630
| ~ spl0_683 ),
inference(forward_subsumption_resolution,[],[f46404,f20407]) ).
thf(f46411,plain,
( ~ spl0_616
| ~ spl0_630
| ~ spl0_683 ),
inference(avatar_contradiction_clause,[],[f46410]) ).
thf(f46440,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_626 ),
inference(constrained_superposition,[],[f20365,f35]) ).
thf(f46442,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_626 ),
inference(constrained_superposition,[],[f20365,f286]) ).
thf(f46444,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_626 ),
inference(constrained_superposition,[],[f20365,f76]) ).
thf(f46446,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_626 ),
inference(trivial_inequality_removal,[],[f46444]) ).
thf(f46448,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_626 ),
inference(trivial_inequality_removal,[],[f46442]) ).
thf(f46450,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_626 ),
inference(trivial_inequality_removal,[],[f46440]) ).
thf(f46503,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f347,f76]) ).
thf(f46505,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f46503]) ).
thf(f46540,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_42
| ~ spl0_634 ),
inference(constrained_superposition,[],[f45381,f565]) ).
thf(f46548,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_42
| ~ spl0_634 ),
inference(trivial_inequality_removal,[],[f46540]) ).
thf(f46564,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_42
| ~ spl0_48 ),
inference(constrained_superposition,[],[f670,f565]) ).
thf(f46570,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ~ spl0_42
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f46564]) ).
thf(f46574,plain,
( spl0_663
| ~ spl0_42
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f46570,f669,f564,f23505]) ).
thf(f46576,definition,
( spl0_1083
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1083])],[avatar_definition]) ).
thf(f46577,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_1083 ),
inference(avatar_component_clause,[],[f46576]) ).
thf(f46583,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_5
| ~ spl0_18
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f35323,f2497]) ).
thf(f46588,plain,
( spl0_48
| ~ spl0_26
| ~ spl0_42
| ~ spl0_634 ),
inference(avatar_split_clause,[],[f46548,f21105,f564,f357,f669]) ).
thf(f46589,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_5
| ~ spl0_18
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f46583,f31]) ).
thf(f46590,plain,
( spl0_26
| spl0_5
| ~ spl0_18
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f46589,f1197,f234,f118,f357]) ).
thf(f46592,plain,
( spl0_12
| spl0_46
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f23850,f1197,f652,f191]) ).
thf(f46594,plain,
( ~ spl0_507
| ~ spl0_612
| ~ spl0_691 ),
inference(avatar_split_clause,[],[f45103,f25231,f19849,f13038]) ).
thf(f46596,definition,
( spl0_1085
<=> ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1085])],[avatar_definition]) ).
thf(f46597,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_1085 ),
inference(avatar_component_clause,[],[f46596]) ).
thf(f46598,plain,
( spl0_1085
| spl0_46
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f46505,f346,f652,f46596]) ).
thf(f46601,plain,
( spl0_659
| ~ spl0_662
| ~ spl0_626 ),
inference(avatar_split_clause,[],[f46446,f20364,f23464,f22882]) ).
thf(f46602,plain,
( spl0_625
| ~ spl0_624
| ~ spl0_626 ),
inference(avatar_split_clause,[],[f46448,f20364,f20357,f20360]) ).
thf(f46604,plain,
( ~ spl0_664
| spl0_634
| ~ spl0_626 ),
inference(avatar_split_clause,[],[f46450,f20364,f21105,f23570]) ).
thf(f46643,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_17
| ~ spl0_631 ),
inference(constrained_superposition,[],[f20410,f232]) ).
thf(f46654,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_17
| ~ spl0_631 ),
inference(trivial_inequality_removal,[],[f46643]) ).
thf(f46663,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_17
| ~ spl0_631 ),
inference(forward_subsumption_resolution,[],[f46654,f232]) ).
thf(f46664,plain,
( $false
| ~ spl0_17
| ~ spl0_631 ),
inference(forward_subsumption_resolution,[],[f46663,f232]) ).
thf(f46665,plain,
( ~ spl0_17
| ~ spl0_631 ),
inference(avatar_contradiction_clause,[],[f46664]) ).
thf(f46691,plain,
( $false
| ~ spl0_17
| spl0_647 ),
inference(forward_subsumption_resolution,[],[f31875,f232]) ).
thf(f46692,plain,
( ~ spl0_17
| spl0_647 ),
inference(avatar_contradiction_clause,[],[f46691]) ).
thf(f46702,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_662 ),
inference(constrained_superposition,[],[f23465,f29]) ).
thf(f46705,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_662 ),
inference(trivial_inequality_removal,[],[f46702]) ).
thf(f46733,plain,
( spl0_647
| spl0_639
| spl0_662 ),
inference(avatar_split_clause,[],[f46705,f23464,f21282,f21939]) ).
thf(f46734,plain,
( spl0_9
| spl0_38
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f23848,f1197,f499,f155]) ).
thf(f46756,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_62 ),
inference(constrained_superposition,[],[f182,f14944]) ).
thf(f46765,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_62 ),
inference(duplicate_literal_removal,[],[f46756]) ).
thf(f46766,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f46765]) ).
thf(f46776,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_46
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[],[f46766,f780]) ).
thf(f46779,plain,
( spl0_18
| spl0_46
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f46776,f1208,f652,f234]) ).
thf(f46824,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_511 ),
inference(constrained_superposition,[],[f60,f13056]) ).
thf(f46829,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_511 ),
inference(trivial_inequality_removal,[],[f46824]) ).
thf(f46867,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_630
| ~ spl0_641 ),
inference(constrained_superposition,[],[f21357,f20407]) ).
thf(f46893,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_630
| ~ spl0_641 ),
inference(trivial_inequality_removal,[],[f46867]) ).
thf(f46896,plain,
( ~ spl0_61
| spl0_1083
| ~ spl0_630
| ~ spl0_641 ),
inference(avatar_split_clause,[],[f46893,f21356,f20406,f46576,f1204]) ).
thf(f46899,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_635
| ~ spl0_691 ),
inference(constrained_superposition,[],[f25232,f21280]) ).
thf(f46902,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_635
| ~ spl0_691 ),
inference(trivial_inequality_removal,[],[f46899]) ).
thf(f46904,plain,
( $false
| ~ spl0_622
| ~ spl0_635
| ~ spl0_691 ),
inference(forward_subsumption_resolution,[],[f46902,f20350]) ).
thf(f46905,plain,
( ~ spl0_622
| ~ spl0_635
| ~ spl0_691 ),
inference(avatar_contradiction_clause,[],[f46904]) ).
thf(f46989,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_614
| ~ spl0_1083 ),
inference(constrained_superposition,[],[f46577,f20065]) ).
thf(f46990,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1083 ),
inference(constrained_superposition,[],[f46577,f76]) ).
thf(f46991,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_614
| ~ spl0_1083 ),
inference(trivial_inequality_removal,[],[f46989]) ).
thf(f46994,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_1083 ),
inference(trivial_inequality_removal,[],[f46990]) ).
thf(f46997,plain,
( $false
| ~ spl0_511
| ~ spl0_614
| ~ spl0_1083 ),
inference(forward_subsumption_resolution,[],[f46991,f13056]) ).
thf(f46998,plain,
( ~ spl0_511
| ~ spl0_614
| ~ spl0_1083 ),
inference(avatar_contradiction_clause,[],[f46997]) ).
thf(f46999,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_62
| ~ spl0_1083 ),
inference(forward_subsumption_resolution,[],[f46994,f14944]) ).
thf(f47000,plain,
( spl0_659
| ~ spl0_62
| ~ spl0_1083 ),
inference(avatar_split_clause,[],[f46999,f46576,f1208,f22882]) ).
thf(f47207,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_661 ),
inference(constrained_superposition,[],[f23461,f35]) ).
thf(f47216,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_661 ),
inference(trivial_inequality_removal,[],[f47207]) ).
thf(f47221,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_647
| ~ spl0_704 ),
inference(constrained_superposition,[],[f25786,f21940]) ).
thf(f47225,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_647
| ~ spl0_704 ),
inference(trivial_inequality_removal,[],[f47221]) ).
thf(f47227,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_511
| ~ spl0_705 ),
inference(constrained_superposition,[],[f25790,f13056]) ).
thf(f47235,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_511
| ~ spl0_705 ),
inference(trivial_inequality_removal,[],[f47227]) ).
thf(f47238,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_59
| ~ spl0_511
| ~ spl0_705 ),
inference(forward_subsumption_resolution,[],[f47235,f19998]) ).
thf(f47239,plain,
( spl0_683
| ~ spl0_59
| ~ spl0_511
| ~ spl0_705 ),
inference(avatar_split_clause,[],[f47238,f25789,f13055,f1197,f24921]) ).
thf(f47243,definition,
( spl0_1087
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1087])],[avatar_definition]) ).
thf(f47244,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_1087 ),
inference(avatar_component_clause,[],[f47243]) ).
thf(f47248,plain,
( spl0_49
| ~ spl0_46
| ~ spl0_647
| ~ spl0_704 ),
inference(avatar_split_clause,[],[f47225,f25785,f21939,f652,f782]) ).
thf(f47249,plain,
( spl0_26
| spl0_623
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f46829,f13055,f20352,f357]) ).
thf(f47257,plain,
( spl0_1087
| spl0_513 ),
inference(avatar_split_clause,[],[f16809,f13064,f47243]) ).
thf(f47265,plain,
( ( $true != $true )
| ~ spl0_1
| spl0_637 ),
inference(constrained_superposition,[],[f44213,f51]) ).
thf(f47272,plain,
( $false
| ~ spl0_1
| spl0_637 ),
inference(trivial_inequality_removal,[],[f47265]) ).
thf(f47273,plain,
( ~ spl0_1
| spl0_637 ),
inference(avatar_contradiction_clause,[],[f47272]) ).
thf(f47289,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ z ) )
!= $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f32,f232]) ).
thf(f47292,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f47289]) ).
thf(f47304,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_53
| ~ spl0_647 ),
inference(constrained_superposition,[],[f805,f21940]) ).
thf(f47306,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_53
| ~ spl0_647 ),
inference(trivial_inequality_removal,[],[f47304]) ).
thf(f47346,definition,
( spl0_1089
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1089])],[avatar_definition]) ).
thf(f47347,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_1089 ),
inference(avatar_component_clause,[],[f47346]) ).
thf(f47350,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_79
| ~ spl0_1089 ),
inference(constrained_superposition,[],[f2500,f47347]) ).
thf(f47354,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_79
| ~ spl0_1089 ),
inference(trivial_inequality_removal,[],[f47350]) ).
thf(f47356,plain,
( $false
| ~ spl0_1
| ~ spl0_79
| ~ spl0_1089 ),
inference(forward_subsumption_resolution,[],[f47354,f51]) ).
thf(f47357,plain,
( ~ spl0_1
| ~ spl0_79
| ~ spl0_1089 ),
inference(avatar_contradiction_clause,[],[f47356]) ).
thf(f47358,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_22
| spl0_632 ),
inference(constrained_superposition,[],[f44147,f342]) ).
thf(f47359,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ z ) )
| spl0_632 ),
inference(constrained_superposition,[],[f44147,f77]) ).
thf(f47360,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ z ) )
| spl0_632 ),
inference(trivial_inequality_removal,[],[f47359]) ).
thf(f47361,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_22
| spl0_632 ),
inference(trivial_inequality_removal,[],[f47358]) ).
thf(f47362,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_632 ),
inference(forward_subsumption_resolution,[],[f47360,f31]) ).
thf(f47363,plain,
( spl0_1087
| ~ spl0_22
| spl0_632 ),
inference(avatar_split_clause,[],[f47361,f20545,f341,f47243]) ).
thf(f47372,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| spl0_632
| ~ spl0_661 ),
inference(constrained_superposition,[],[f23461,f47362]) ).
thf(f47374,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| spl0_632 ),
inference(constrained_superposition,[],[f325,f47362]) ).
thf(f47381,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_632 ),
inference(duplicate_literal_removal,[],[f47374]) ).
thf(f47382,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_632 ),
inference(trivial_inequality_removal,[],[f47381]) ).
thf(f47389,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| spl0_632
| ~ spl0_661 ),
inference(trivial_inequality_removal,[],[f47372]) ).
thf(f47391,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_632 ),
inference(forward_subsumption_resolution,[],[f47382,f44147]) ).
thf(f47393,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_59
| spl0_632
| ~ spl0_661 ),
inference(forward_subsumption_resolution,[],[f47389,f19998]) ).
thf(f47394,plain,
( spl0_41
| spl0_632 ),
inference(avatar_split_clause,[],[f47391,f20545,f561]) ).
thf(f47396,plain,
( spl0_683
| ~ spl0_59
| spl0_632
| ~ spl0_661 ),
inference(avatar_split_clause,[],[f47393,f23460,f20545,f1197,f24921]) ).
thf(f47508,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_625 ),
inference(constrained_superposition,[],[f32,f20361]) ).
thf(f47509,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_625 ),
inference(trivial_inequality_removal,[],[f47508]) ).
thf(f47517,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_615 ),
inference(constrained_superposition,[],[f32,f20068]) ).
thf(f47518,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_615 ),
inference(trivial_inequality_removal,[],[f47517]) ).
thf(f47576,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| spl0_31
| ~ spl0_876 ),
inference(constrained_superposition,[],[f850,f35663]) ).
thf(f47578,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_31
| ~ spl0_876 ),
inference(trivial_inequality_removal,[],[f47576]) ).
thf(f47580,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_31
| ~ spl0_876 ),
inference(forward_subsumption_resolution,[],[f47578,f31]) ).
thf(f47581,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_26
| spl0_31
| ~ spl0_876 ),
inference(forward_subsumption_resolution,[],[f47580,f667]) ).
thf(f47582,plain,
( $false
| spl0_26
| spl0_31
| spl0_56
| ~ spl0_876 ),
inference(forward_subsumption_resolution,[],[f47581,f13886]) ).
thf(f47583,plain,
( spl0_26
| spl0_31
| spl0_56
| ~ spl0_876 ),
inference(avatar_contradiction_clause,[],[f47582]) ).
thf(f47660,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f156,f75]) ).
thf(f47667,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f47660]) ).
thf(f47757,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f192,f35]) ).
thf(f47759,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f192,f75]) ).
thf(f47764,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f47757]) ).
thf(f47765,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f47759]) ).
thf(f47784,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_17
| ~ spl0_617 ),
inference(constrained_superposition,[],[f47292,f20075]) ).
thf(f47797,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_17
| ~ spl0_617 ),
inference(trivial_inequality_removal,[],[f47784]) ).
thf(f47798,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_1087 ),
inference(avatar_component_clause,[],[f47243]) ).
thf(f47800,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_1089 ),
inference(avatar_component_clause,[],[f47346]) ).
thf(f47802,definition,
( spl0_1090
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1090])],[avatar_definition]) ).
thf(f47803,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1090 ),
inference(avatar_component_clause,[],[f47802]) ).
thf(f47804,plain,
( ~ spl0_1089
| spl0_1090
| ~ spl0_17
| ~ spl0_617 ),
inference(avatar_split_clause,[],[f47797,f20074,f231,f47802,f47346]) ).
thf(f47865,plain,
( ! [X1: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_847 ),
inference(constrained_superposition,[],[f33942,f51]) ).
thf(f47869,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X1 )
!= $true ) )
| ~ spl0_1
| ~ spl0_847 ),
inference(trivial_inequality_removal,[],[f47865]) ).
thf(f47873,plain,
( ! [X1: $i] :
( ( ( r @ z @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_847 ),
inference(forward_subsumption_resolution,[],[f47869,f51]) ).
thf(f47876,plain,
( spl0_74
| ~ spl0_1
| ~ spl0_847 ),
inference(avatar_split_clause,[],[f47873,f33941,f50,f1614]) ).
thf(f47892,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_17
| ~ spl0_625 ),
inference(constrained_superposition,[],[f47509,f232]) ).
thf(f47893,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_1
| ~ spl0_625 ),
inference(constrained_superposition,[],[f47509,f51]) ).
thf(f47897,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_625 ),
inference(trivial_inequality_removal,[],[f47893]) ).
thf(f47898,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_17
| ~ spl0_625 ),
inference(trivial_inequality_removal,[],[f47892]) ).
thf(f47899,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_625 ),
inference(forward_subsumption_resolution,[],[f47897,f51]) ).
thf(f47900,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_17
| ~ spl0_625 ),
inference(forward_subsumption_resolution,[],[f47898,f232]) ).
thf(f47901,plain,
( spl0_74
| ~ spl0_1
| ~ spl0_625 ),
inference(avatar_split_clause,[],[f47899,f20360,f50,f1614]) ).
thf(f47902,plain,
( spl0_49
| ~ spl0_17
| ~ spl0_625 ),
inference(avatar_split_clause,[],[f47900,f20360,f231,f782]) ).
thf(f47936,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_648 ),
inference(constrained_superposition,[],[f21943,f35]) ).
thf(f47938,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_648 ),
inference(constrained_superposition,[],[f21943,f286]) ).
thf(f47940,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_648 ),
inference(trivial_inequality_removal,[],[f47936]) ).
thf(f47941,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_648 ),
inference(trivial_inequality_removal,[],[f47938]) ).
thf(f47948,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_615 ),
inference(constrained_superposition,[],[f47518,f51]) ).
thf(f47950,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_1
| ~ spl0_615 ),
inference(trivial_inequality_removal,[],[f47948]) ).
thf(f47954,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_1
| ~ spl0_615 ),
inference(forward_subsumption_resolution,[],[f47950,f51]) ).
thf(f47956,plain,
( spl0_677
| ~ spl0_1
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f47954,f20067,f50,f24550]) ).
thf(f47957,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_617
| ~ spl0_677 ),
inference(constrained_superposition,[],[f24551,f20075]) ).
thf(f47960,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_17
| ~ spl0_677 ),
inference(constrained_superposition,[],[f24551,f232]) ).
thf(f47962,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_17
| ~ spl0_677 ),
inference(trivial_inequality_removal,[],[f47960]) ).
thf(f47964,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_617
| ~ spl0_677 ),
inference(trivial_inequality_removal,[],[f47957]) ).
thf(f47967,plain,
( $false
| ~ spl0_1
| ~ spl0_17
| ~ spl0_677 ),
inference(forward_subsumption_resolution,[],[f47962,f51]) ).
thf(f47968,plain,
( ~ spl0_1
| ~ spl0_17
| ~ spl0_677 ),
inference(avatar_contradiction_clause,[],[f47967]) ).
thf(f47971,plain,
( $false
| ~ spl0_1
| ~ spl0_617
| ~ spl0_677 ),
inference(forward_subsumption_resolution,[],[f47964,f51]) ).
thf(f47972,plain,
( ~ spl0_1
| ~ spl0_617
| ~ spl0_677 ),
inference(avatar_contradiction_clause,[],[f47971]) ).
thf(f47978,definition,
( spl0_1091
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1091])],[avatar_definition]) ).
thf(f47979,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ z @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_1091 ),
inference(avatar_component_clause,[],[f47978]) ).
thf(f48005,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_42
| ~ spl0_615 ),
inference(constrained_superposition,[],[f47518,f565]) ).
thf(f48013,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_42
| ~ spl0_615 ),
inference(trivial_inequality_removal,[],[f48005]) ).
thf(f48016,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_42
| ~ spl0_615 ),
inference(forward_subsumption_resolution,[],[f48013,f565]) ).
thf(f48017,plain,
( spl0_693
| ~ spl0_42
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f48016,f20067,f564,f25661]) ).
thf(f48034,plain,
( ~ spl0_507
| ~ spl0_53
| ~ spl0_647 ),
inference(avatar_split_clause,[],[f47306,f21939,f804,f13038]) ).
thf(f48036,definition,
( spl0_1092
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1092])],[avatar_definition]) ).
thf(f48037,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_1092 ),
inference(avatar_component_clause,[],[f48036]) ).
thf(f48040,definition,
( spl0_1093
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1093])],[avatar_definition]) ).
thf(f48041,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_1093 ),
inference(avatar_component_clause,[],[f48040]) ).
thf(f48044,definition,
( spl0_1094
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1094])],[avatar_definition]) ).
thf(f48045,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) )
| ~ spl0_1094 ),
inference(avatar_component_clause,[],[f48044]) ).
thf(f48050,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f32,f653]) ).
thf(f48053,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f48050]) ).
thf(f48054,plain,
( spl0_698
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f48053,f652,f25691]) ).
thf(f48055,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_96
| ~ spl0_1087 ),
inference(constrained_superposition,[],[f4244,f47244]) ).
thf(f48056,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_79
| ~ spl0_1087 ),
inference(constrained_superposition,[],[f2500,f47244]) ).
thf(f48062,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_96
| ~ spl0_1087 ),
inference(trivial_inequality_removal,[],[f48055]) ).
thf(f48064,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_79
| ~ spl0_1087 ),
inference(trivial_inequality_removal,[],[f48056]) ).
thf(f48065,plain,
( $false
| ~ spl0_79
| ~ spl0_637
| ~ spl0_1087 ),
inference(forward_subsumption_resolution,[],[f48064,f21202]) ).
thf(f48066,plain,
( ~ spl0_79
| ~ spl0_637
| ~ spl0_1087 ),
inference(avatar_contradiction_clause,[],[f48065]) ).
thf(f48105,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f36]) ).
thf(f48106,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f48105]) ).
thf(f48134,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_617
| ~ spl0_693 ),
inference(constrained_superposition,[],[f25662,f20075]) ).
thf(f48140,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_617
| ~ spl0_693 ),
inference(trivial_inequality_removal,[],[f48134]) ).
thf(f48142,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_617
| ~ spl0_693 ),
inference(constrained_superposition,[],[f48140,f77]) ).
thf(f48143,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_617
| ~ spl0_693 ),
inference(trivial_inequality_removal,[],[f48142]) ).
thf(f48144,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_617
| ~ spl0_693 ),
inference(forward_subsumption_resolution,[],[f48143,f31]) ).
thf(f48182,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f235,f37]) ).
thf(f48183,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f235,f75]) ).
thf(f48184,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_18
| ~ spl0_59 ),
inference(constrained_superposition,[],[f235,f19998]) ).
thf(f48185,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_18
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f48184]) ).
thf(f48188,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f48183]) ).
thf(f48189,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f48182]) ).
thf(f48192,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_18
| ~ spl0_59
| ~ spl0_617
| ~ spl0_693 ),
inference(constrained_superposition,[],[f48185,f48144]) ).
thf(f48204,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_18
| ~ spl0_59
| ~ spl0_617
| ~ spl0_693 ),
inference(trivial_inequality_removal,[],[f48192]) ).
thf(f48207,plain,
( ~ spl0_644
| ~ spl0_18
| ~ spl0_59
| ~ spl0_617
| ~ spl0_693 ),
inference(avatar_split_clause,[],[f48204,f25661,f20074,f1197,f234,f21926]) ).
thf(f48244,plain,
( ~ spl0_507
| spl0_1092
| ~ spl0_96
| ~ spl0_1087 ),
inference(avatar_split_clause,[],[f48062,f47243,f4243,f48036,f13038]) ).
thf(f48268,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_62 ),
inference(constrained_superposition,[],[f60,f14944]) ).
thf(f48274,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f48268]) ).
thf(f48289,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl0_658 ),
inference(constrained_superposition,[],[f32,f22675]) ).
thf(f48292,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_658 ),
inference(trivial_inequality_removal,[],[f48289]) ).
thf(f48295,plain,
( spl0_768
| ~ spl0_658 ),
inference(avatar_split_clause,[],[f48292,f22674,f32285]) ).
thf(f48332,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_630 ),
inference(constrained_superposition,[],[f48106,f20407]) ).
thf(f48334,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_630
| ~ spl0_1085 ),
inference(constrained_superposition,[],[f46597,f20407]) ).
thf(f48337,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_630 ),
inference(constrained_superposition,[],[f60,f20407]) ).
thf(f48339,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl0_630 ),
inference(constrained_superposition,[],[f28,f20407]) ).
thf(f48340,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_630
| ~ spl0_1085 ),
inference(trivial_inequality_removal,[],[f48334]) ).
thf(f48343,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_630 ),
inference(trivial_inequality_removal,[],[f48337]) ).
thf(f48344,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_630 ),
inference(trivial_inequality_removal,[],[f48332]) ).
thf(f48345,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_630 ),
inference(trivial_inequality_removal,[],[f48339]) ).
thf(f48349,plain,
( ~ spl0_666
| ~ spl0_627
| ~ spl0_630
| ~ spl0_1085 ),
inference(avatar_split_clause,[],[f48340,f46596,f20406,f20368,f23705]) ).
thf(f48351,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_2
| spl0_622
| ~ spl0_630 ),
inference(forward_subsumption_resolution,[],[f48344,f21167]) ).
thf(f48353,plain,
( ~ spl0_61
| ~ spl0_2
| spl0_622
| ~ spl0_630 ),
inference(avatar_split_clause,[],[f48351,f20406,f20349,f53,f1204]) ).
thf(f48354,plain,
( spl0_26
| spl0_641
| ~ spl0_630 ),
inference(avatar_split_clause,[],[f48343,f20406,f21356,f357]) ).
thf(f48355,plain,
( spl0_14
| spl0_26
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f48274,f1208,f357,f198]) ).
thf(f48377,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_73
| ~ spl0_511 ),
inference(constrained_superposition,[],[f1600,f13056]) ).
thf(f48378,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_73
| ~ spl0_630 ),
inference(constrained_superposition,[],[f1600,f20407]) ).
thf(f48383,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_73
| ~ spl0_511 ),
inference(trivial_inequality_removal,[],[f48377]) ).
thf(f48384,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_73
| ~ spl0_630 ),
inference(trivial_inequality_removal,[],[f48378]) ).
thf(f48392,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_1087
| ~ spl0_1092 ),
inference(constrained_superposition,[],[f48037,f47244]) ).
thf(f48396,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_1087
| ~ spl0_1092 ),
inference(trivial_inequality_removal,[],[f48392]) ).
thf(f48398,plain,
( $false
| ~ spl0_3
| ~ spl0_1087
| ~ spl0_1092 ),
inference(forward_subsumption_resolution,[],[f48396,f112]) ).
thf(f48399,plain,
( ~ spl0_3
| ~ spl0_1087
| ~ spl0_1092 ),
inference(avatar_contradiction_clause,[],[f48398]) ).
thf(f48400,plain,
( ~ spl0_513
| ~ spl0_73
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f48383,f13055,f1599,f13064]) ).
thf(f48404,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| spl0_637
| ~ spl0_661 ),
inference(forward_subsumption_resolution,[],[f47216,f44213]) ).
thf(f48406,definition,
( spl0_1097
<=> ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1097])],[avatar_definition]) ).
thf(f48407,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_1097 ),
inference(avatar_component_clause,[],[f48406]) ).
thf(f48408,plain,
( ~ spl0_34
| spl0_1097
| spl0_634
| ~ spl0_648 ),
inference(avatar_split_clause,[],[f47940,f21942,f21105,f48406,f448]) ).
thf(f48410,plain,
( spl0_1080
| ~ spl0_34
| spl0_637
| ~ spl0_661 ),
inference(avatar_split_clause,[],[f48404,f23460,f21201,f448,f45044]) ).
thf(f48448,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_615
| ~ spl0_688 ),
inference(constrained_superposition,[],[f25178,f20068]) ).
thf(f48454,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_615
| ~ spl0_688 ),
inference(trivial_inequality_removal,[],[f48448]) ).
thf(f48457,plain,
( ~ spl0_1089
| ~ spl0_615
| ~ spl0_688 ),
inference(avatar_split_clause,[],[f48454,f25177,f20067,f47346]) ).
thf(f48458,plain,
( ~ spl0_644
| ~ spl0_73
| ~ spl0_630 ),
inference(avatar_split_clause,[],[f48384,f20406,f1599,f21926]) ).
thf(f48578,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_647
| ~ spl0_693 ),
inference(constrained_superposition,[],[f25662,f21940]) ).
thf(f48579,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_647
| ~ spl0_693 ),
inference(trivial_inequality_removal,[],[f48578]) ).
thf(f48588,plain,
( ~ spl0_31
| ~ spl0_647
| ~ spl0_693 ),
inference(avatar_split_clause,[],[f48579,f25661,f21939,f410]) ).
thf(f48591,plain,
( ~ spl0_59
| spl0_1083
| spl0_625
| ~ spl0_648 ),
inference(avatar_split_clause,[],[f47941,f21942,f20360,f46576,f1197]) ).
thf(f48651,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_632
| ~ spl0_844 ),
inference(constrained_superposition,[],[f33879,f20546]) ).
thf(f48657,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_632
| ~ spl0_844 ),
inference(trivial_inequality_removal,[],[f48651]) ).
thf(f48659,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_26
| ~ spl0_632
| ~ spl0_844 ),
inference(forward_subsumption_resolution,[],[f48657,f358]) ).
thf(f48660,plain,
( $false
| ~ spl0_26
| ~ spl0_31
| ~ spl0_632
| ~ spl0_844 ),
inference(forward_subsumption_resolution,[],[f48659,f411]) ).
thf(f48661,plain,
( ~ spl0_26
| ~ spl0_31
| ~ spl0_632
| ~ spl0_844 ),
inference(avatar_contradiction_clause,[],[f48660]) ).
thf(f48684,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f199,f75]) ).
thf(f48687,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f48684]) ).
thf(f48693,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_615
| ~ spl0_625 ),
inference(constrained_superposition,[],[f47518,f20361]) ).
thf(f48699,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_615
| ~ spl0_625 ),
inference(trivial_inequality_removal,[],[f48693]) ).
thf(f48700,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_615
| ~ spl0_625
| ~ spl0_632 ),
inference(forward_subsumption_resolution,[],[f48699,f20546]) ).
thf(f48701,plain,
( spl0_693
| ~ spl0_615
| ~ spl0_625
| ~ spl0_632 ),
inference(avatar_split_clause,[],[f48700,f20545,f20360,f20067,f25661]) ).
thf(f48754,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_616 ),
inference(constrained_superposition,[],[f48106,f20072]) ).
thf(f48765,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_616 ),
inference(trivial_inequality_removal,[],[f48754]) ).
thf(f48774,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_612
| ~ spl0_688 ),
inference(constrained_superposition,[],[f25178,f19850]) ).
thf(f48775,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_688 ),
inference(constrained_superposition,[],[f25178,f285]) ).
thf(f48780,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_688 ),
inference(trivial_inequality_removal,[],[f48775]) ).
thf(f48781,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_612
| ~ spl0_688 ),
inference(trivial_inequality_removal,[],[f48774]) ).
thf(f48784,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_511
| ~ spl0_688 ),
inference(forward_subsumption_resolution,[],[f48780,f13111]) ).
thf(f48785,plain,
( $false
| ~ spl0_31
| ~ spl0_612
| ~ spl0_688 ),
inference(forward_subsumption_resolution,[],[f48781,f411]) ).
thf(f48786,plain,
( ~ spl0_31
| ~ spl0_612
| ~ spl0_688 ),
inference(avatar_contradiction_clause,[],[f48785]) ).
thf(f48787,plain,
( $false
| ~ spl0_31
| spl0_511
| ~ spl0_688 ),
inference(forward_subsumption_resolution,[],[f48784,f411]) ).
thf(f48788,plain,
( ~ spl0_31
| spl0_511
| ~ spl0_688 ),
inference(avatar_contradiction_clause,[],[f48787]) ).
thf(f48793,plain,
( ~ spl0_526
| spl0_622
| ~ spl0_2
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f48765,f20071,f53,f20349,f13145]) ).
thf(f48807,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_9
| ~ spl0_59 ),
inference(constrained_superposition,[],[f156,f19998]) ).
thf(f48817,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_9
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f48807]) ).
thf(f48821,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_9
| ~ spl0_59
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[],[f48817,f17230]) ).
thf(f48822,plain,
( spl0_39
| ~ spl0_9
| ~ spl0_59
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f48821,f1452,f1197,f155,f519]) ).
thf(f48823,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_12
| ~ spl0_62 ),
inference(constrained_superposition,[],[f47765,f14944]) ).
thf(f48832,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_12
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f48823]) ).
thf(f48878,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true ) )
| ~ spl0_85
| ~ spl0_1089 ),
inference(constrained_superposition,[],[f4183,f47347]) ).
thf(f48881,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_85
| ~ spl0_1089 ),
inference(trivial_inequality_removal,[],[f48878]) ).
thf(f48882,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_85
| ~ spl0_622
| ~ spl0_1089 ),
inference(forward_subsumption_resolution,[],[f48881,f20350]) ).
thf(f48883,plain,
( spl0_1090
| ~ spl0_85
| ~ spl0_622
| ~ spl0_1089 ),
inference(avatar_split_clause,[],[f48882,f47346,f20349,f4182,f47802]) ).
thf(f48924,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_622
| ~ spl0_1090 ),
inference(constrained_superposition,[],[f47803,f20350]) ).
thf(f48928,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_622
| ~ spl0_1090 ),
inference(trivial_inequality_removal,[],[f48924]) ).
thf(f48932,plain,
( $false
| ~ spl0_5
| ~ spl0_622
| ~ spl0_1090 ),
inference(forward_subsumption_resolution,[],[f48928,f119]) ).
thf(f48933,plain,
( ~ spl0_5
| ~ spl0_622
| ~ spl0_1090 ),
inference(avatar_contradiction_clause,[],[f48932]) ).
thf(f48935,plain,
( spl0_31
| spl0_73
| ~ spl0_12
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f48832,f1208,f191,f1599,f410]) ).
thf(f48981,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_614
| ~ spl0_705 ),
inference(constrained_superposition,[],[f25790,f20065]) ).
thf(f48983,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_614
| ~ spl0_1097 ),
inference(constrained_superposition,[],[f48407,f20065]) ).
thf(f48994,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_614
| ~ spl0_1097 ),
inference(trivial_inequality_removal,[],[f48983]) ).
thf(f49003,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_614
| ~ spl0_705 ),
inference(trivial_inequality_removal,[],[f48981]) ).
thf(f49007,plain,
( ~ spl0_644
| spl0_626
| ~ spl0_614
| ~ spl0_705 ),
inference(avatar_split_clause,[],[f49003,f25789,f20064,f20364,f21926]) ).
thf(f49009,plain,
( ~ spl0_526
| ~ spl0_614
| ~ spl0_1097 ),
inference(avatar_split_clause,[],[f48994,f48406,f20064,f13145]) ).
thf(f49036,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_511 ),
inference(constrained_superposition,[],[f182,f13056]) ).
thf(f49037,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_511 ),
inference(constrained_superposition,[],[f108,f13056]) ).
thf(f49039,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_511 ),
inference(constrained_superposition,[],[f43,f13056]) ).
thf(f49040,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_511 ),
inference(constrained_superposition,[],[f28,f13056]) ).
thf(f49041,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_511 ),
inference(trivial_inequality_removal,[],[f49036]) ).
thf(f49042,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_511 ),
inference(trivial_inequality_removal,[],[f49037]) ).
thf(f49043,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_511 ),
inference(trivial_inequality_removal,[],[f49040]) ).
thf(f49046,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_511 ),
inference(trivial_inequality_removal,[],[f49039]) ).
thf(f49048,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_55
| ~ spl0_632 ),
inference(constrained_superposition,[],[f853,f20546]) ).
thf(f49051,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_55
| ~ spl0_632 ),
inference(trivial_inequality_removal,[],[f49048]) ).
thf(f49055,plain,
( $false
| ~ spl0_55
| ~ spl0_632
| ~ spl0_1087 ),
inference(forward_subsumption_resolution,[],[f49051,f47244]) ).
thf(f49056,plain,
( ~ spl0_55
| ~ spl0_632
| ~ spl0_1087 ),
inference(avatar_contradiction_clause,[],[f49055]) ).
thf(f49066,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_659 ),
inference(constrained_superposition,[],[f32,f22883]) ).
thf(f49068,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_659 ),
inference(trivial_inequality_removal,[],[f49066]) ).
thf(f49159,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_647
| ~ spl0_700 ),
inference(constrained_superposition,[],[f25743,f21940]) ).
thf(f49160,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_647
| ~ spl0_700 ),
inference(trivial_inequality_removal,[],[f49159]) ).
thf(f49184,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_41
| ~ spl0_630 ),
inference(constrained_superposition,[],[f562,f20407]) ).
thf(f49192,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_41
| ~ spl0_630 ),
inference(trivial_inequality_removal,[],[f49184]) ).
thf(f49202,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_41
| ~ spl0_616
| ~ spl0_630 ),
inference(constrained_superposition,[],[f49192,f20072]) ).
thf(f49203,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_41
| ~ spl0_630 ),
inference(constrained_superposition,[],[f49192,f75]) ).
thf(f49207,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_41
| ~ spl0_630 ),
inference(trivial_inequality_removal,[],[f49203]) ).
thf(f49209,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_41
| ~ spl0_616
| ~ spl0_630 ),
inference(trivial_inequality_removal,[],[f49202]) ).
thf(f49213,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_41
| ~ spl0_630
| spl0_1089 ),
inference(forward_subsumption_resolution,[],[f49207,f47800]) ).
thf(f49214,plain,
( $false
| ~ spl0_41
| ~ spl0_511
| ~ spl0_616
| ~ spl0_630 ),
inference(forward_subsumption_resolution,[],[f49209,f13056]) ).
thf(f49215,plain,
( ~ spl0_41
| ~ spl0_511
| ~ spl0_616
| ~ spl0_630 ),
inference(avatar_contradiction_clause,[],[f49214]) ).
thf(f49216,plain,
( $false
| ~ spl0_41
| ~ spl0_62
| ~ spl0_630
| spl0_1089 ),
inference(forward_subsumption_resolution,[],[f49213,f14944]) ).
thf(f49217,plain,
( ~ spl0_41
| ~ spl0_62
| ~ spl0_630
| spl0_1089 ),
inference(avatar_contradiction_clause,[],[f49216]) ).
thf(f49218,plain,
( spl0_705
| spl0_31
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f49042,f13055,f410,f25789]) ).
thf(f49226,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f43,f19998]) ).
thf(f49233,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f49226]) ).
thf(f49238,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| spl0_5
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f49233,f2497]) ).
thf(f49240,plain,
( spl0_23
| spl0_5
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f49238,f1197,f118,f346]) ).
thf(f49294,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_614 ),
inference(constrained_superposition,[],[f60,f20065]) ).
thf(f49303,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_614 ),
inference(trivial_inequality_removal,[],[f49294]) ).
thf(f49316,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_617
| ~ spl0_1090 ),
inference(constrained_superposition,[],[f47803,f20075]) ).
thf(f49319,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_617
| ~ spl0_1090 ),
inference(trivial_inequality_removal,[],[f49316]) ).
thf(f49323,plain,
( $false
| ~ spl0_617
| ~ spl0_1087
| ~ spl0_1090 ),
inference(forward_subsumption_resolution,[],[f49319,f47244]) ).
thf(f49324,plain,
( ~ spl0_617
| ~ spl0_1087
| ~ spl0_1090 ),
inference(avatar_contradiction_clause,[],[f49323]) ).
thf(f49325,plain,
( spl0_46
| spl0_661
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f49041,f13055,f23460,f652]) ).
thf(f49327,plain,
( ~ spl0_46
| ~ spl0_647
| ~ spl0_700 ),
inference(avatar_split_clause,[],[f49160,f25742,f21939,f652]) ).
thf(f49329,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_9
| ~ spl0_70 ),
inference(constrained_superposition,[],[f47667,f17230]) ).
thf(f49338,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_70 ),
inference(constrained_superposition,[],[f28,f17230]) ).
thf(f49340,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_9
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f49329]) ).
thf(f49347,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f49338]) ).
thf(f49353,plain,
( spl0_39
| spl0_31
| ~ spl0_9
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f49340,f1452,f155,f410,f519]) ).
thf(f49380,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_42
| ~ spl0_55 ),
inference(constrained_superposition,[],[f853,f565]) ).
thf(f49384,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_42
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f49380]) ).
thf(f49386,plain,
( ( $true != $true )
| ~ spl0_42
| ~ spl0_55
| ~ spl0_1089 ),
inference(constrained_superposition,[],[f49384,f47347]) ).
thf(f49387,plain,
( $false
| ~ spl0_42
| ~ spl0_55
| ~ spl0_1089 ),
inference(trivial_inequality_removal,[],[f49386]) ).
thf(f49388,plain,
( ~ spl0_42
| ~ spl0_55
| ~ spl0_1089 ),
inference(avatar_contradiction_clause,[],[f49387]) ).
thf(f49397,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_637 ),
inference(constrained_superposition,[],[f32,f21202]) ).
thf(f49398,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_637 ),
inference(trivial_inequality_removal,[],[f49397]) ).
thf(f49465,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_630
| ~ spl0_1091 ),
inference(constrained_superposition,[],[f47979,f20407]) ).
thf(f49472,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_630
| ~ spl0_1091 ),
inference(trivial_inequality_removal,[],[f49465]) ).
thf(f49479,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_46
| ~ spl0_697 ),
inference(constrained_superposition,[],[f25685,f653]) ).
thf(f49481,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_46
| ~ spl0_697 ),
inference(trivial_inequality_removal,[],[f49479]) ).
thf(f49483,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_3
| ~ spl0_46
| ~ spl0_697 ),
inference(forward_subsumption_resolution,[],[f49481,f112]) ).
thf(f49484,plain,
( spl0_53
| ~ spl0_3
| ~ spl0_46
| ~ spl0_697 ),
inference(avatar_split_clause,[],[f49483,f25684,f652,f111,f804]) ).
thf(f49492,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_18
| ~ spl0_614 ),
inference(constrained_superposition,[],[f48188,f20065]) ).
thf(f49505,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_18
| ~ spl0_614 ),
inference(trivial_inequality_removal,[],[f49492]) ).
thf(f49508,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_18
| ~ spl0_614
| spl0_1087 ),
inference(forward_subsumption_resolution,[],[f49505,f47798]) ).
thf(f49510,plain,
( ~ spl0_644
| ~ spl0_18
| ~ spl0_614
| spl0_1087 ),
inference(avatar_split_clause,[],[f49508,f47243,f20064,f234,f21926]) ).
thf(f49514,plain,
( spl0_623
| spl0_622
| ~ spl0_614 ),
inference(avatar_split_clause,[],[f49303,f20064,f20349,f20352]) ).
thf(f49567,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_667 ),
inference(constrained_superposition,[],[f23832,f76]) ).
thf(f49568,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_667 ),
inference(trivial_inequality_removal,[],[f49567]) ).
thf(f49574,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_647
| ~ spl0_667 ),
inference(forward_subsumption_resolution,[],[f49568,f31875]) ).
thf(f49575,plain,
( ~ spl0_8
| ~ spl0_34
| spl0_647
| ~ spl0_667 ),
inference(avatar_split_clause,[],[f49574,f23831,f21939,f448,f128]) ).
thf(f49633,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_42
| ~ spl0_637 ),
inference(constrained_superposition,[],[f49398,f565]) ).
thf(f49634,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_617
| ~ spl0_637 ),
inference(constrained_superposition,[],[f49398,f20075]) ).
thf(f49637,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_42
| ~ spl0_637 ),
inference(trivial_inequality_removal,[],[f49633]) ).
thf(f49638,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true ) )
| ~ spl0_617
| ~ spl0_637 ),
inference(trivial_inequality_removal,[],[f49634]) ).
thf(f49641,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_26
| ~ spl0_42
| ~ spl0_637 ),
inference(forward_subsumption_resolution,[],[f49637,f358]) ).
thf(f49642,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_50
| ~ spl0_617
| ~ spl0_637 ),
inference(forward_subsumption_resolution,[],[f49638,f786]) ).
thf(f49643,plain,
( spl0_48
| ~ spl0_26
| ~ spl0_42
| ~ spl0_637 ),
inference(avatar_split_clause,[],[f49641,f21201,f564,f357,f669]) ).
thf(f49644,plain,
( spl0_1093
| ~ spl0_50
| ~ spl0_617
| ~ spl0_637 ),
inference(avatar_split_clause,[],[f49642,f21201,f20074,f785,f48040]) ).
thf(f49646,plain,
( $false
| ~ spl0_50
| spl0_622 ),
inference(forward_subsumption_resolution,[],[f21167,f786]) ).
thf(f49647,plain,
( ~ spl0_50
| spl0_622 ),
inference(avatar_contradiction_clause,[],[f49646]) ).
thf(f49649,plain,
( ~ spl0_665
| spl0_1097
| ~ spl0_630
| ~ spl0_1091 ),
inference(avatar_split_clause,[],[f49472,f47978,f20406,f48406,f23607]) ).
thf(f49650,plain,
( spl0_633
| spl0_38
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f49046,f13055,f499,f21102]) ).
thf(f49651,plain,
( spl0_5
| spl0_81
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f47764,f191,f128,f2849,f118]) ).
thf(f49654,plain,
( $false
| ~ spl0_50
| spl0_507 ),
inference(forward_subsumption_resolution,[],[f44450,f786]) ).
thf(f49655,plain,
( ~ spl0_50
| spl0_507 ),
inference(avatar_contradiction_clause,[],[f49654]) ).
thf(f49660,plain,
( spl0_1093
| ~ spl0_622
| ~ spl0_617
| ~ spl0_637 ),
inference(avatar_split_clause,[],[f49638,f21201,f20074,f20349,f48040]) ).
thf(f49674,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_1075 ),
inference(constrained_superposition,[],[f44345,f36]) ).
thf(f49676,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1075 ),
inference(trivial_inequality_removal,[],[f49674]) ).
thf(f49786,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_70
| ~ spl0_1094 ),
inference(constrained_superposition,[],[f48045,f17230]) ).
thf(f49790,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_511
| ~ spl0_1094 ),
inference(constrained_superposition,[],[f48045,f13056]) ).
thf(f49794,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_70
| ~ spl0_1094 ),
inference(trivial_inequality_removal,[],[f49786]) ).
thf(f49801,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_511
| ~ spl0_1094 ),
inference(trivial_inequality_removal,[],[f49790]) ).
thf(f49805,plain,
( ~ spl0_8
| spl0_81
| ~ spl0_70
| ~ spl0_1094 ),
inference(avatar_split_clause,[],[f49794,f48044,f1452,f2849,f128]) ).
thf(f49807,definition,
( spl0_1099
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1099])],[avatar_definition]) ).
thf(f49808,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1099 ),
inference(avatar_component_clause,[],[f49807]) ).
thf(f49809,plain,
( spl0_1099
| ~ spl0_662
| ~ spl0_511
| ~ spl0_1094 ),
inference(avatar_split_clause,[],[f49801,f48044,f13055,f23464,f49807]) ).
thf(f49886,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_89 ),
inference(constrained_superposition,[],[f4203,f285]) ).
thf(f49891,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f49886]) ).
thf(f49892,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_42
| ~ spl0_696 ),
inference(constrained_superposition,[],[f25675,f565]) ).
thf(f49893,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_617
| ~ spl0_696 ),
inference(constrained_superposition,[],[f25675,f20075]) ).
thf(f49896,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_696 ),
inference(constrained_superposition,[],[f25675,f51]) ).
thf(f49899,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_696 ),
inference(trivial_inequality_removal,[],[f49896]) ).
thf(f49900,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_42
| ~ spl0_696 ),
inference(trivial_inequality_removal,[],[f49892]) ).
thf(f49901,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_617
| ~ spl0_696 ),
inference(trivial_inequality_removal,[],[f49893]) ).
thf(f49903,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_696 ),
inference(forward_subsumption_resolution,[],[f49899,f51]) ).
thf(f49904,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_31
| ~ spl0_42
| ~ spl0_696 ),
inference(forward_subsumption_resolution,[],[f49900,f411]) ).
thf(f49905,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_617
| ~ spl0_696
| ~ spl0_1089 ),
inference(forward_subsumption_resolution,[],[f49901,f47347]) ).
thf(f49907,plain,
( spl0_79
| ~ spl0_1
| ~ spl0_696 ),
inference(avatar_split_clause,[],[f49903,f25674,f50,f2499]) ).
thf(f49908,plain,
( spl0_55
| ~ spl0_31
| ~ spl0_42
| ~ spl0_696 ),
inference(avatar_split_clause,[],[f49904,f25674,f564,f410,f852]) ).
thf(f49909,plain,
( spl0_1090
| ~ spl0_617
| ~ spl0_696
| ~ spl0_1089 ),
inference(avatar_split_clause,[],[f49905,f47346,f25674,f20074,f47802]) ).
thf(f49914,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_637
| ~ spl0_768 ),
inference(constrained_superposition,[],[f32286,f21202]) ).
thf(f49921,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_637
| ~ spl0_768 ),
inference(trivial_inequality_removal,[],[f49914]) ).
thf(f49925,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_637
| ~ spl0_768 ),
inference(forward_subsumption_resolution,[],[f49921,f51]) ).
thf(f49929,plain,
( spl0_79
| ~ spl0_1
| ~ spl0_637
| ~ spl0_768 ),
inference(avatar_split_clause,[],[f49925,f32285,f21201,f50,f2499]) ).
thf(f49931,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_70 ),
inference(constrained_superposition,[],[f49347,f17230]) ).
thf(f49947,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_70 ),
inference(duplicate_literal_removal,[],[f49931]) ).
thf(f49948,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f49947]) ).
thf(f49953,plain,
( spl0_2
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f49948,f1452,f53]) ).
thf(f49977,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_511
| ~ spl0_623 ),
inference(constrained_superposition,[],[f20353,f13056]) ).
thf(f49987,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_511
| ~ spl0_623 ),
inference(trivial_inequality_removal,[],[f49977]) ).
thf(f50001,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_42
| ~ spl0_659 ),
inference(constrained_superposition,[],[f49068,f565]) ).
thf(f50004,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_659 ),
inference(constrained_superposition,[],[f49068,f51]) ).
thf(f50006,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_42
| ~ spl0_659 ),
inference(trivial_inequality_removal,[],[f50001]) ).
thf(f50008,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_659 ),
inference(trivial_inequality_removal,[],[f50004]) ).
thf(f50009,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_31
| ~ spl0_42
| ~ spl0_659 ),
inference(forward_subsumption_resolution,[],[f50006,f411]) ).
thf(f50010,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1
| ~ spl0_659 ),
inference(forward_subsumption_resolution,[],[f50008,f51]) ).
thf(f50011,plain,
( spl0_55
| ~ spl0_31
| ~ spl0_42
| ~ spl0_659 ),
inference(avatar_split_clause,[],[f50009,f22882,f564,f410,f852]) ).
thf(f50012,plain,
( spl0_79
| ~ spl0_1
| ~ spl0_659 ),
inference(avatar_split_clause,[],[f50010,f22882,f50,f2499]) ).
thf(f50018,definition,
( spl0_1100
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1100])],[avatar_definition]) ).
thf(f50019,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_1100 ),
inference(avatar_component_clause,[],[f50018]) ).
thf(f50024,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_38
| ~ spl0_89 ),
inference(constrained_superposition,[],[f4203,f500]) ).
thf(f50028,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_38
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f50024]) ).
thf(f50042,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_507
| ~ spl0_688 ),
inference(constrained_superposition,[],[f25178,f13039]) ).
thf(f50043,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_507 ),
inference(constrained_superposition,[],[f32,f13039]) ).
thf(f50044,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_507 ),
inference(trivial_inequality_removal,[],[f50043]) ).
thf(f50045,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_507
| ~ spl0_688 ),
inference(trivial_inequality_removal,[],[f50042]) ).
thf(f50062,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f29]) ).
thf(f50063,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f36]) ).
thf(f50064,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f50062]) ).
thf(f50065,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ z )
!= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f50063]) ).
thf(f50072,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_617
| ~ spl0_1093 ),
inference(constrained_superposition,[],[f48041,f20075]) ).
thf(f50075,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_617 ),
inference(constrained_superposition,[],[f32,f20075]) ).
thf(f50076,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_617
| ~ spl0_1093 ),
inference(trivial_inequality_removal,[],[f50072]) ).
thf(f50078,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_617 ),
inference(trivial_inequality_removal,[],[f50075]) ).
thf(f50080,plain,
( $false
| ~ spl0_507
| ~ spl0_617
| ~ spl0_1093 ),
inference(forward_subsumption_resolution,[],[f50076,f13039]) ).
thf(f50081,plain,
( ~ spl0_507
| ~ spl0_617
| ~ spl0_1093 ),
inference(avatar_contradiction_clause,[],[f50080]) ).
thf(f50086,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_1097 ),
inference(constrained_superposition,[],[f48407,f76]) ).
thf(f50091,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_1097 ),
inference(trivial_inequality_removal,[],[f50086]) ).
thf(f50092,plain,
( ~ spl0_8
| spl0_659
| ~ spl0_1097 ),
inference(avatar_split_clause,[],[f50091,f48406,f22882,f128]) ).
thf(f50099,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_509 ),
inference(constrained_superposition,[],[f13046,f75]) ).
thf(f50105,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_509 ),
inference(trivial_inequality_removal,[],[f50099]) ).
thf(f50109,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_617
| ~ spl0_693 ),
inference(constrained_superposition,[],[f25662,f20075]) ).
thf(f50112,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_617
| ~ spl0_693 ),
inference(trivial_inequality_removal,[],[f50109]) ).
thf(f50114,plain,
( $false
| ~ spl0_617
| ~ spl0_625
| ~ spl0_693 ),
inference(forward_subsumption_resolution,[],[f50112,f20361]) ).
thf(f50115,plain,
( ~ spl0_617
| ~ spl0_625
| ~ spl0_693 ),
inference(avatar_contradiction_clause,[],[f50114]) ).
thf(f50116,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_617
| ~ spl0_693 ),
inference(constrained_superposition,[],[f50112,f77]) ).
thf(f50117,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_617
| ~ spl0_693 ),
inference(trivial_inequality_removal,[],[f50116]) ).
thf(f50118,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_617
| ~ spl0_693 ),
inference(forward_subsumption_resolution,[],[f50117,f31]) ).
thf(f50122,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_617
| ~ spl0_693 ),
inference(constrained_superposition,[],[f325,f50118]) ).
thf(f50137,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_617
| ~ spl0_693 ),
inference(duplicate_literal_removal,[],[f50122]) ).
thf(f50138,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_617
| ~ spl0_693 ),
inference(trivial_inequality_removal,[],[f50137]) ).
thf(f50143,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_617
| ~ spl0_693 ),
inference(forward_subsumption_resolution,[],[f50138,f50112]) ).
thf(f50145,plain,
( spl0_41
| ~ spl0_617
| ~ spl0_693 ),
inference(avatar_split_clause,[],[f50143,f25661,f20074,f561]) ).
thf(f50149,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 )
| ( ( b @ ( s @ X1 ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f50065,f37]) ).
thf(f50160,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X1 ) @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f50149]) ).
thf(f50181,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_41 ),
inference(constrained_superposition,[],[f562,f35]) ).
thf(f50185,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_41 ),
inference(constrained_superposition,[],[f562,f76]) ).
thf(f50188,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f50181]) ).
thf(f50189,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f50185]) ).
thf(f50208,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_105
| spl0_1087 ),
inference(constrained_superposition,[],[f47798,f4311]) ).
thf(f50209,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_105
| spl0_1089 ),
inference(constrained_superposition,[],[f47800,f4311]) ).
thf(f50211,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_105
| spl0_1087 ),
inference(trivial_inequality_removal,[],[f50208]) ).
thf(f50213,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_105
| spl0_1089 ),
inference(trivial_inequality_removal,[],[f50209]) ).
thf(f50215,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_105
| spl0_1087 ),
inference(forward_subsumption_resolution,[],[f50211,f31]) ).
thf(f50216,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_105
| spl0_1089 ),
inference(forward_subsumption_resolution,[],[f50213,f31]) ).
thf(f50217,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_105
| spl0_637
| spl0_1087 ),
inference(forward_subsumption_resolution,[],[f50215,f44213]) ).
thf(f50218,plain,
( spl0_660
| spl0_634
| ~ spl0_105
| spl0_1089 ),
inference(avatar_split_clause,[],[f50216,f47346,f4310,f21105,f22885]) ).
thf(f50219,plain,
( spl0_639
| ~ spl0_105
| spl0_637
| spl0_1087 ),
inference(avatar_split_clause,[],[f50217,f47243,f21201,f4310,f21282]) ).
thf(f50236,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_660 ),
inference(constrained_superposition,[],[f76,f22886]) ).
thf(f50314,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_660 ),
inference(forward_subsumption_resolution,[],[f50236,f26]) ).
thf(f50330,plain,
( $false
| ~ spl0_660 ),
inference(forward_subsumption_resolution,[],[f50314,f27]) ).
thf(f50331,plain,
~ spl0_660,
inference(avatar_contradiction_clause,[],[f50330]) ).
thf(f50334,plain,
( spl0_74
| ~ spl0_5
| ~ spl0_38
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f50028,f4202,f499,f118,f1614]) ).
thf(f50335,plain,
( ~ spl0_5
| ~ spl0_507
| ~ spl0_688 ),
inference(avatar_split_clause,[],[f50045,f25177,f13038,f118]) ).
thf(f50337,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_1087 ),
inference(constrained_superposition,[],[f32,f47244]) ).
thf(f50338,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1087 ),
inference(trivial_inequality_removal,[],[f50337]) ).
thf(f50341,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f1303,f37]) ).
thf(f50346,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f50341]) ).
thf(f50347,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1089 ),
inference(constrained_superposition,[],[f32,f47347]) ).
thf(f50348,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1089 ),
inference(trivial_inequality_removal,[],[f50347]) ).
thf(f50351,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_48
| ~ spl0_632 ),
inference(constrained_superposition,[],[f670,f20546]) ).
thf(f50355,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_48
| ~ spl0_632 ),
inference(trivial_inequality_removal,[],[f50351]) ).
thf(f50357,plain,
( $false
| ~ spl0_48
| ~ spl0_507
| ~ spl0_632 ),
inference(forward_subsumption_resolution,[],[f50355,f13039]) ).
thf(f50358,plain,
( ~ spl0_48
| ~ spl0_507
| ~ spl0_632 ),
inference(avatar_contradiction_clause,[],[f50357]) ).
thf(f50388,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_615
| ~ spl0_1092 ),
inference(constrained_superposition,[],[f48037,f20068]) ).
thf(f50396,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_615
| ~ spl0_1092 ),
inference(trivial_inequality_removal,[],[f50388]) ).
thf(f50397,plain,
( ~ spl0_622
| ~ spl0_615
| ~ spl0_1092 ),
inference(avatar_split_clause,[],[f50396,f48036,f20067,f20349]) ).
thf(f50456,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_698 ),
inference(constrained_superposition,[],[f25692,f285]) ).
thf(f50459,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_38
| ~ spl0_698 ),
inference(constrained_superposition,[],[f25692,f500]) ).
thf(f50460,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_38
| ~ spl0_698 ),
inference(trivial_inequality_removal,[],[f50459]) ).
thf(f50461,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_698 ),
inference(trivial_inequality_removal,[],[f50456]) ).
thf(f50484,plain,
( spl0_65
| ~ spl0_698 ),
inference(avatar_split_clause,[],[f50461,f25691,f1250]) ).
thf(f50617,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_511 ),
inference(constrained_superposition,[],[f49043,f35]) ).
thf(f50621,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_511 ),
inference(constrained_superposition,[],[f49043,f76]) ).
thf(f50622,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_511 ),
inference(trivial_inequality_removal,[],[f50617]) ).
thf(f50624,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_511 ),
inference(trivial_inequality_removal,[],[f50621]) ).
thf(f50632,plain,
( spl0_637
| spl0_1091
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f50622,f13055,f47978,f21201]) ).
thf(f50633,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_637
| ~ spl0_704 ),
inference(constrained_superposition,[],[f25786,f21202]) ).
thf(f50634,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_637
| ~ spl0_1087 ),
inference(constrained_superposition,[],[f50338,f21202]) ).
thf(f50635,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_507
| ~ spl0_637 ),
inference(constrained_superposition,[],[f50044,f21202]) ).
thf(f50636,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_637
| ~ spl0_693 ),
inference(constrained_superposition,[],[f25662,f21202]) ).
thf(f50642,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_637
| ~ spl0_1087 ),
inference(trivial_inequality_removal,[],[f50634]) ).
thf(f50644,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_637
| ~ spl0_704 ),
inference(trivial_inequality_removal,[],[f50633]) ).
thf(f50645,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_637
| ~ spl0_693 ),
inference(trivial_inequality_removal,[],[f50636]) ).
thf(f50646,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_507
| ~ spl0_637 ),
inference(duplicate_literal_removal,[],[f50635]) ).
thf(f50647,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_507
| ~ spl0_637 ),
inference(trivial_inequality_removal,[],[f50646]) ).
thf(f50650,plain,
( spl0_844
| ~ spl0_637
| ~ spl0_1087 ),
inference(avatar_split_clause,[],[f50642,f47243,f21201,f33878]) ).
thf(f50652,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_38
| ~ spl0_637
| ~ spl0_704 ),
inference(forward_subsumption_resolution,[],[f50644,f500]) ).
thf(f50653,plain,
( $false
| ~ spl0_26
| ~ spl0_637
| ~ spl0_693 ),
inference(forward_subsumption_resolution,[],[f50645,f358]) ).
thf(f50654,plain,
( ~ spl0_26
| ~ spl0_637
| ~ spl0_693 ),
inference(avatar_contradiction_clause,[],[f50653]) ).
thf(f50656,plain,
( spl0_74
| ~ spl0_38
| ~ spl0_637
| ~ spl0_704 ),
inference(avatar_split_clause,[],[f50652,f25785,f21201,f499,f1614]) ).
thf(f50657,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_74 ),
inference(constrained_superposition,[],[f1615,f285]) ).
thf(f50662,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f50657]) ).
thf(f50688,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_630
| ~ spl0_1094 ),
inference(constrained_superposition,[],[f48045,f20407]) ).
thf(f50695,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_630
| ~ spl0_1094 ),
inference(trivial_inequality_removal,[],[f50688]) ).
thf(f50699,definition,
( spl0_1102
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1102])],[avatar_definition]) ).
thf(f50700,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1102 ),
inference(avatar_component_clause,[],[f50699]) ).
thf(f50701,plain,
( spl0_1102
| ~ spl0_666
| ~ spl0_630
| ~ spl0_1094 ),
inference(avatar_split_clause,[],[f50695,f48044,f20406,f23705,f50699]) ).
thf(f50725,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_659 ),
inference(constrained_superposition,[],[f32,f22883]) ).
thf(f50727,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_659 ),
inference(trivial_inequality_removal,[],[f50725]) ).
thf(f50733,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f783,f285]) ).
thf(f50740,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f50733]) ).
thf(f50743,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_615
| ~ spl0_659 ),
inference(constrained_superposition,[],[f50727,f20068]) ).
thf(f50747,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_615
| ~ spl0_659 ),
inference(trivial_inequality_removal,[],[f50743]) ).
thf(f50751,plain,
( spl0_688
| ~ spl0_1087
| ~ spl0_615
| ~ spl0_659 ),
inference(avatar_split_clause,[],[f50747,f22882,f20067,f47243,f25177]) ).
thf(f50752,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_507
| ~ spl0_632
| ~ spl0_637 ),
inference(constrained_superposition,[],[f50647,f20546]) ).
thf(f50765,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_507
| ~ spl0_632
| ~ spl0_637 ),
inference(trivial_inequality_removal,[],[f50752]) ).
thf(f50767,plain,
( $false
| ~ spl0_26
| ~ spl0_507
| ~ spl0_632
| ~ spl0_637 ),
inference(forward_subsumption_resolution,[],[f50765,f358]) ).
thf(f50768,plain,
( ~ spl0_26
| ~ spl0_507
| ~ spl0_632
| ~ spl0_637 ),
inference(avatar_contradiction_clause,[],[f50767]) ).
thf(f50769,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| spl0_632 ),
inference(constrained_superposition,[],[f44147,f77]) ).
thf(f50770,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_632 ),
inference(trivial_inequality_removal,[],[f50769]) ).
thf(f50771,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_632 ),
inference(forward_subsumption_resolution,[],[f50770,f31]) ).
thf(f50772,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_21
| spl0_632 ),
inference(constrained_superposition,[],[f339,f50771]) ).
thf(f50795,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_21
| spl0_632 ),
inference(trivial_inequality_removal,[],[f50772]) ).
thf(f50803,plain,
( ~ spl0_513
| spl0_683
| ~ spl0_21
| spl0_632 ),
inference(avatar_split_clause,[],[f50795,f20545,f338,f24921,f13064]) ).
thf(f50872,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_659
| ~ spl0_1089 ),
inference(constrained_superposition,[],[f50348,f22883]) ).
thf(f50873,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_659
| ~ spl0_1089 ),
inference(duplicate_literal_removal,[],[f50872]) ).
thf(f50874,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_659
| ~ spl0_1089 ),
inference(trivial_inequality_removal,[],[f50873]) ).
thf(f50884,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_630 ),
inference(constrained_superposition,[],[f48345,f35]) ).
thf(f50887,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_630 ),
inference(constrained_superposition,[],[f48345,f76]) ).
thf(f50888,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_630 ),
inference(trivial_inequality_removal,[],[f50887]) ).
thf(f50890,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_630 ),
inference(trivial_inequality_removal,[],[f50884]) ).
thf(f50893,plain,
( spl0_634
| spl0_1091
| ~ spl0_630 ),
inference(avatar_split_clause,[],[f50890,f20406,f47978,f21105]) ).
thf(f50908,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_511
| ~ spl0_1091 ),
inference(constrained_superposition,[],[f47979,f13056]) ).
thf(f50910,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_511
| ~ spl0_1091 ),
inference(trivial_inequality_removal,[],[f50908]) ).
thf(f50917,plain,
( spl0_1080
| ~ spl0_664
| ~ spl0_511
| ~ spl0_1091 ),
inference(avatar_split_clause,[],[f50910,f47978,f13055,f23570,f45044]) ).
thf(f50928,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f115,f75]) ).
thf(f50943,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f50928]) ).
thf(f50944,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f50943]) ).
thf(f50968,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_670 ),
inference(constrained_superposition,[],[f24385,f76]) ).
thf(f50974,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_670 ),
inference(trivial_inequality_removal,[],[f50968]) ).
thf(f50988,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_615
| ~ spl0_617 ),
inference(constrained_superposition,[],[f50078,f20068]) ).
thf(f50991,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_615
| ~ spl0_617 ),
inference(duplicate_literal_removal,[],[f50988]) ).
thf(f50992,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_615
| ~ spl0_617 ),
inference(trivial_inequality_removal,[],[f50991]) ).
thf(f51060,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f50346,f35]) ).
thf(f51063,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( z = X0 ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f51060]) ).
thf(f51125,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_68
| ~ spl0_89 ),
inference(constrained_superposition,[],[f49891,f51063]) ).
thf(f51128,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_68
| ~ spl0_675 ),
inference(constrained_superposition,[],[f24544,f51063]) ).
thf(f51132,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_68
| ~ spl0_675 ),
inference(trivial_inequality_removal,[],[f51128]) ).
thf(f51135,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_68
| ~ spl0_89 ),
inference(trivial_inequality_removal,[],[f51125]) ).
thf(f51137,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_68
| ~ spl0_74
| ~ spl0_675 ),
inference(forward_subsumption_resolution,[],[f51132,f50662]) ).
thf(f51139,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_46
| ~ spl0_68
| ~ spl0_74
| ~ spl0_675 ),
inference(forward_subsumption_resolution,[],[f51137,f653]) ).
thf(f51140,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_46
| ~ spl0_68
| ~ spl0_74
| ~ spl0_675 ),
inference(forward_subsumption_resolution,[],[f51139,f31]) ).
thf(f51141,plain,
( spl0_71
| ~ spl0_46
| ~ spl0_68
| ~ spl0_74
| ~ spl0_675 ),
inference(avatar_split_clause,[],[f51140,f24543,f1614,f1302,f652,f1588]) ).
thf(f51142,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_68
| ~ spl0_74
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f51135,f50662]) ).
thf(f51143,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_68
| ~ spl0_74
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f51142,f31]) ).
thf(f51144,plain,
( spl0_675
| ~ spl0_68
| ~ spl0_74
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f51143,f4202,f1614,f1302,f24543]) ).
thf(f51149,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( z = X1 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X1 @ z ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f50064,f29]) ).
thf(f51150,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ X1 @ z ) )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f50064,f36]) ).
thf(f51151,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 )
| ( z = X0 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f51149]) ).
thf(f51152,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f51150]) ).
thf(f51154,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( z
= ( s @ X1 ) )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= z )
| ( X0 = X1 )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f51151,f37]) ).
thf(f51156,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f51151,f286]) ).
thf(f51159,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_511 ),
inference(constrained_superposition,[],[f51151,f13056]) ).
thf(f51160,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f51151,f76]) ).
thf(f51162,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_511 ),
inference(trivial_inequality_removal,[],[f51159]) ).
thf(f51165,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f51156]) ).
thf(f51166,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f51160]) ).
thf(f51168,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z
= ( s @ X1 ) )
| ( X0 = X1 )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( s @ X0 )
= z ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f51154]) ).
thf(f51171,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( z
= ( s @ X1 ) )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 ) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f51168,f31]) ).
thf(f51174,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ X1 ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f51171,f31]) ).
thf(f51178,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_13
| spl0_647 ),
inference(constrained_superposition,[],[f31875,f196]) ).
thf(f51179,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_13
| ~ spl0_49 ),
inference(constrained_superposition,[],[f50740,f196]) ).
thf(f51206,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_13
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f51179]) ).
thf(f51214,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_13
| spl0_647 ),
inference(trivial_inequality_removal,[],[f51178]) ).
thf(f51216,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_13
| ~ spl0_49
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f51206,f799]) ).
thf(f51217,plain,
( spl0_71
| ~ spl0_13
| ~ spl0_49
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f51216,f798,f782,f195,f1588]) ).
thf(f51253,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f32,f159]) ).
thf(f51255,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f51253]) ).
thf(f51276,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_7
| spl0_1087 ),
inference(constrained_superposition,[],[f47798,f126]) ).
thf(f51278,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_7
| ~ spl0_65 ),
inference(constrained_superposition,[],[f1251,f126]) ).
thf(f51280,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f32,f126]) ).
thf(f51281,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_7
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f51278]) ).
thf(f51282,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_7
| spl0_1087 ),
inference(trivial_inequality_removal,[],[f51276]) ).
thf(f51283,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f51280]) ).
thf(f51286,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_7
| ~ spl0_52
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f51281,f799]) ).
thf(f51291,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_7
| ~ spl0_52
| ~ spl0_65 ),
inference(constrained_superposition,[],[f51286,f285]) ).
thf(f51300,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_7
| ~ spl0_52
| ~ spl0_65 ),
inference(duplicate_literal_removal,[],[f51291]) ).
thf(f51301,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_7
| ~ spl0_52
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f51300]) ).
thf(f51322,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_71
| ~ spl0_1091 ),
inference(constrained_superposition,[],[f47979,f1589]) ).
thf(f51324,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl0_41
| ~ spl0_71 ),
inference(constrained_superposition,[],[f562,f1589]) ).
thf(f51331,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_2
| ~ spl0_71 ),
inference(constrained_superposition,[],[f51151,f1589]) ).
thf(f51333,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_41
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f51324]) ).
thf(f51343,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_2
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f51331]) ).
thf(f51349,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_71
| ~ spl0_1091 ),
inference(trivial_inequality_removal,[],[f51322]) ).
thf(f51371,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_71
| ~ spl0_1091 ),
inference(constrained_superposition,[],[f51349,f76]) ).
thf(f51378,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_71
| ~ spl0_1091 ),
inference(trivial_inequality_removal,[],[f51371]) ).
thf(f51380,definition,
( spl0_1104
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1104])],[avatar_definition]) ).
thf(f51381,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_1104 ),
inference(avatar_component_clause,[],[f51380]) ).
thf(f51382,plain,
( ~ spl0_8
| spl0_1104
| ~ spl0_71
| ~ spl0_1091 ),
inference(avatar_split_clause,[],[f51378,f47978,f1588,f51380,f128]) ).
thf(f51383,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_1104 ),
inference(constrained_superposition,[],[f51381,f35]) ).
thf(f51385,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_1104 ),
inference(trivial_inequality_removal,[],[f51383]) ).
thf(f51387,plain,
( spl0_1100
| ~ spl0_1104 ),
inference(avatar_split_clause,[],[f51385,f51380,f50018]) ).
thf(f51428,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_7
| ~ spl0_13 ),
inference(constrained_superposition,[],[f51283,f196]) ).
thf(f51441,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_7
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f51428]) ).
thf(f51442,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_7
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f51441]) ).
thf(f51445,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_615 ),
inference(constrained_superposition,[],[f51442,f20068]) ).
thf(f51446,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_617 ),
inference(constrained_superposition,[],[f51442,f20075]) ).
thf(f51450,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_38 ),
inference(constrained_superposition,[],[f51442,f500]) ).
thf(f51455,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f51450]) ).
thf(f51458,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_615 ),
inference(trivial_inequality_removal,[],[f51445]) ).
thf(f51461,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_617 ),
inference(trivial_inequality_removal,[],[f51446]) ).
thf(f51734,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_1075
| spl0_1087 ),
inference(constrained_superposition,[],[f47798,f49676]) ).
thf(f51744,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_1075
| spl0_1087 ),
inference(trivial_inequality_removal,[],[f51734]) ).
thf(f51746,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_11
| spl0_1087 ),
inference(constrained_superposition,[],[f47798,f189]) ).
thf(f51755,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_11
| spl0_1087 ),
inference(trivial_inequality_removal,[],[f51746]) ).
thf(f51758,plain,
( $false
| ~ spl0_11
| spl0_647
| spl0_1087 ),
inference(forward_subsumption_resolution,[],[f51755,f31875]) ).
thf(f51759,plain,
( ~ spl0_11
| spl0_647
| spl0_1087 ),
inference(avatar_contradiction_clause,[],[f51758]) ).
thf(f51762,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_81 ),
inference(constrained_superposition,[],[f2850,f37]) ).
thf(f51764,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f51762]) ).
thf(f51772,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_81 ),
inference(constrained_superposition,[],[f51764,f36]) ).
thf(f51775,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f51772]) ).
thf(f51777,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_81
| spl0_1087 ),
inference(constrained_superposition,[],[f47798,f51775]) ).
thf(f51785,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_81
| spl0_1087 ),
inference(trivial_inequality_removal,[],[f51777]) ).
thf(f51793,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f51152,f29]) ).
thf(f51795,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f51152,f75]) ).
thf(f51803,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ X1 )
= X0 )
| ( z = X0 )
| ( ( r @ X0 @ ( s @ X1 ) )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f51793]) ).
thf(f51810,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f51795]) ).
thf(f51889,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_10
| ~ spl0_1100 ),
inference(constrained_superposition,[],[f51255,f50019]) ).
thf(f51910,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_10
| ~ spl0_1100 ),
inference(duplicate_literal_removal,[],[f51889]) ).
thf(f51911,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_10
| ~ spl0_1100 ),
inference(trivial_inequality_removal,[],[f51910]) ).
thf(f51913,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_10
| ~ spl0_615
| ~ spl0_1100 ),
inference(constrained_superposition,[],[f51911,f20068]) ).
thf(f51922,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_10
| ~ spl0_615
| ~ spl0_1100 ),
inference(trivial_inequality_removal,[],[f51913]) ).
thf(f51930,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_465 ),
inference(constrained_superposition,[],[f12031,f35]) ).
thf(f51936,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_465 ),
inference(trivial_inequality_removal,[],[f51930]) ).
thf(f52036,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_19
| ~ spl0_659 ),
inference(constrained_superposition,[],[f50727,f332]) ).
thf(f52037,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_19
| ~ spl0_659
| ~ spl0_1089 ),
inference(constrained_superposition,[],[f50874,f332]) ).
thf(f52039,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_19 ),
inference(constrained_superposition,[],[f51442,f332]) ).
thf(f52044,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_19
| ~ spl0_659
| ~ spl0_1089 ),
inference(trivial_inequality_removal,[],[f52037]) ).
thf(f52056,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f52039]) ).
thf(f52057,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f52056]) ).
thf(f52064,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_19
| ~ spl0_659 ),
inference(trivial_inequality_removal,[],[f52036]) ).
thf(f52067,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_19
| ~ spl0_31
| ~ spl0_659
| ~ spl0_1089 ),
inference(forward_subsumption_resolution,[],[f52044,f411]) ).
thf(f52068,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_19
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f52057,f411]) ).
thf(f52071,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_19
| spl0_622
| ~ spl0_659 ),
inference(forward_subsumption_resolution,[],[f52064,f21167]) ).
thf(f52072,plain,
( $false
| ~ spl0_19
| ~ spl0_31
| spl0_622
| ~ spl0_659
| ~ spl0_1089 ),
inference(forward_subsumption_resolution,[],[f52067,f21167]) ).
thf(f52073,plain,
( ~ spl0_19
| ~ spl0_31
| spl0_622
| ~ spl0_659
| ~ spl0_1089 ),
inference(avatar_contradiction_clause,[],[f52072]) ).
thf(f52074,plain,
( spl0_50
| ~ spl0_7
| ~ spl0_13
| ~ spl0_19
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f52068,f410,f331,f195,f125,f785]) ).
thf(f52076,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_19
| ~ spl0_31
| spl0_622
| ~ spl0_659 ),
inference(forward_subsumption_resolution,[],[f52071,f411]) ).
thf(f52077,plain,
( spl0_55
| ~ spl0_19
| ~ spl0_31
| spl0_622
| ~ spl0_659 ),
inference(avatar_split_clause,[],[f52076,f22882,f20349,f410,f331,f852]) ).
thf(f52097,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f48189,f35]) ).
thf(f52103,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f52097]) ).
thf(f52104,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_2
| spl0_56 ),
inference(extensionality_resolution,[],[f50160,f13886]) ).
thf(f52115,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_2
| spl0_56 ),
inference(extensionality_resolution,[],[f51174,f13886]) ).
thf(f52121,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_2
| spl0_647 ),
inference(constrained_superposition,[],[f31875,f51174]) ).
thf(f52141,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_2
| ~ spl0_659
| ~ spl0_1089 ),
inference(constrained_superposition,[],[f50874,f51174]) ).
thf(f52142,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2
| ~ spl0_615
| ~ spl0_617 ),
inference(constrained_superposition,[],[f50992,f51174]) ).
thf(f52169,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_659
| ~ spl0_1089 ),
inference(trivial_inequality_removal,[],[f52141]) ).
thf(f52170,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_2
| spl0_647 ),
inference(trivial_inequality_removal,[],[f52121]) ).
thf(f52176,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_2
| ~ spl0_615
| ~ spl0_617 ),
inference(trivial_inequality_removal,[],[f52142]) ).
thf(f52182,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2
| spl0_622
| ~ spl0_659
| ~ spl0_1089 ),
inference(forward_subsumption_resolution,[],[f52169,f21167]) ).
thf(f52183,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_2
| ~ spl0_507
| ~ spl0_615
| ~ spl0_617
| ~ spl0_637 ),
inference(forward_subsumption_resolution,[],[f52176,f50647]) ).
thf(f52185,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_2
| ~ spl0_507
| ~ spl0_615
| ~ spl0_617
| spl0_622
| ~ spl0_637 ),
inference(forward_subsumption_resolution,[],[f52183,f21167]) ).
thf(f52186,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_507
| ~ spl0_615
| ~ spl0_617
| spl0_622
| ~ spl0_637 ),
inference(constrained_superposition,[],[f52185,f77]) ).
thf(f52194,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_2
| ~ spl0_507
| ~ spl0_615
| ~ spl0_617
| spl0_622
| ~ spl0_637 ),
inference(trivial_inequality_removal,[],[f52186]) ).
thf(f52201,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_7
| spl0_622
| ~ spl0_659
| ~ spl0_1089 ),
inference(constrained_superposition,[],[f52182,f126]) ).
thf(f52210,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_7
| spl0_622
| ~ spl0_659
| ~ spl0_1089 ),
inference(duplicate_literal_removal,[],[f52201]) ).
thf(f52211,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_7
| spl0_622
| ~ spl0_659
| ~ spl0_1089 ),
inference(trivial_inequality_removal,[],[f52210]) ).
thf(f52243,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_7
| spl0_622
| ~ spl0_659
| ~ spl0_1089 ),
inference(constrained_superposition,[],[f32,f52211]) ).
thf(f52248,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_2
| ~ spl0_7
| spl0_622
| ~ spl0_659
| ~ spl0_1089 ),
inference(trivial_inequality_removal,[],[f52243]) ).
thf(f52257,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_7
| spl0_622
| ~ spl0_637
| ~ spl0_659
| ~ spl0_1089 ),
inference(constrained_superposition,[],[f52248,f21202]) ).
thf(f52263,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_7
| spl0_622
| ~ spl0_637
| ~ spl0_659
| ~ spl0_1089 ),
inference(duplicate_literal_removal,[],[f52257]) ).
thf(f52264,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_7
| spl0_622
| ~ spl0_637
| ~ spl0_659
| ~ spl0_1089 ),
inference(trivial_inequality_removal,[],[f52263]) ).
thf(f52916,definition,
( spl0_1111
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1111])],[avatar_definition]) ).
thf(f52917,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_1111 ),
inference(avatar_component_clause,[],[f52916]) ).
thf(f52921,definition,
( spl0_1112
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1112])],[avatar_definition]) ).
thf(f52922,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) ) )
| ~ spl0_1112 ),
inference(avatar_component_clause,[],[f52921]) ).
thf(f54120,definition,
( spl0_1167
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1167])],[avatar_definition]) ).
thf(f54121,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_1167 ),
inference(avatar_component_clause,[],[f54120]) ).
thf(f54127,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_513 ),
inference(avatar_component_clause,[],[f13064]) ).
thf(f54278,definition,
( spl0_1180
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1180])],[avatar_definition]) ).
thf(f54279,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1180 ),
inference(avatar_component_clause,[],[f54278]) ).
thf(f54401,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_18
| ~ spl0_513 ),
inference(constrained_superposition,[],[f235,f54127]) ).
thf(f54405,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_465
| ~ spl0_513 ),
inference(constrained_superposition,[],[f12031,f54127]) ).
thf(f54414,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_465
| ~ spl0_513 ),
inference(trivial_inequality_removal,[],[f54405]) ).
thf(f54426,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_18
| ~ spl0_513 ),
inference(trivial_inequality_removal,[],[f54401]) ).
thf(f54435,plain,
( spl0_1180
| ~ spl0_18
| ~ spl0_513 ),
inference(avatar_split_clause,[],[f54426,f13064,f234,f54278]) ).
thf(f54483,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_633 ),
inference(constrained_superposition,[],[f21103,f35]) ).
thf(f54492,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_633 ),
inference(trivial_inequality_removal,[],[f54483]) ).
thf(f54507,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_465
| ~ spl0_513 ),
inference(constrained_superposition,[],[f54414,f35]) ).
thf(f54513,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_465
| ~ spl0_513 ),
inference(trivial_inequality_removal,[],[f54507]) ).
thf(f54537,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_41
| ~ spl0_71
| ~ spl0_507
| ~ spl0_615
| ~ spl0_617
| spl0_622
| ~ spl0_637 ),
inference(constrained_superposition,[],[f51333,f52194]) ).
thf(f54596,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_41
| ~ spl0_71
| ~ spl0_507
| ~ spl0_615
| ~ spl0_617
| spl0_622
| ~ spl0_637 ),
inference(trivial_inequality_removal,[],[f54537]) ).
thf(f54610,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_41
| ~ spl0_71
| ~ spl0_507
| ~ spl0_511
| ~ spl0_615
| ~ spl0_617
| spl0_622
| ~ spl0_637 ),
inference(forward_subsumption_resolution,[],[f54596,f13056]) ).
thf(f54691,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_41
| ~ spl0_71
| ~ spl0_507
| ~ spl0_511
| ~ spl0_615
| ~ spl0_617
| spl0_622
| ~ spl0_637 ),
inference(constrained_superposition,[],[f20075,f54610]) ).
thf(f55002,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_41
| ~ spl0_71
| ~ spl0_507
| ~ spl0_511
| ~ spl0_615
| ~ spl0_617
| spl0_622
| ~ spl0_637 ),
inference(forward_subsumption_resolution,[],[f54691,f27]) ).
thf(f55021,plain,
( spl0_639
| ~ spl0_2
| ~ spl0_41
| ~ spl0_71
| ~ spl0_507
| ~ spl0_511
| ~ spl0_615
| ~ spl0_617
| spl0_622
| ~ spl0_637 ),
inference(avatar_split_clause,[],[f55002,f21201,f20349,f20074,f20067,f13055,f13038,f1588,f561,f53,f21282]) ).
thf(f55029,definition,
( spl0_1183
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1183])],[avatar_definition]) ).
thf(f55030,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_1183 ),
inference(avatar_component_clause,[],[f55029]) ).
thf(f55031,plain,
( spl0_1183
| spl0_613
| ~ spl0_2
| ~ spl0_7
| spl0_622
| ~ spl0_637
| ~ spl0_659
| ~ spl0_1089 ),
inference(avatar_split_clause,[],[f52264,f47346,f22882,f21201,f20349,f125,f53,f19852,f55029]) ).
thf(f55035,plain,
( spl0_507
| spl0_639
| ~ spl0_1075
| spl0_1087 ),
inference(avatar_split_clause,[],[f51744,f47243,f44344,f21282,f13038]) ).
thf(f55039,plain,
( spl0_507
| ~ spl0_13
| spl0_647 ),
inference(avatar_split_clause,[],[f51214,f21939,f195,f13038]) ).
thf(f55046,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_2
| spl0_3
| spl0_647 ),
inference(forward_subsumption_resolution,[],[f52170,f1586]) ).
thf(f55047,plain,
( spl0_507
| ~ spl0_7
| spl0_1087 ),
inference(avatar_split_clause,[],[f51282,f47243,f125,f13038]) ).
thf(f55048,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_81
| spl0_1087 ),
inference(forward_subsumption_resolution,[],[f51785,f31]) ).
thf(f55057,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_2
| spl0_3
| spl0_647 ),
inference(forward_subsumption_resolution,[],[f55046,f31]) ).
thf(f55058,plain,
( spl0_507
| ~ spl0_81
| spl0_1087 ),
inference(avatar_split_clause,[],[f55048,f47243,f2849,f13038]) ).
thf(f55063,plain,
( spl0_507
| ~ spl0_2
| spl0_3
| spl0_647 ),
inference(avatar_split_clause,[],[f55057,f21939,f111,f53,f13038]) ).
thf(f55069,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 ) )
| spl0_5
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f52103,f2497]) ).
thf(f55070,plain,
( spl0_507
| ~ spl0_1089
| ~ spl0_7
| ~ spl0_13
| ~ spl0_617 ),
inference(avatar_split_clause,[],[f51461,f20074,f195,f125,f47346,f13038]) ).
thf(f55073,plain,
( spl0_667
| spl0_637
| ~ spl0_633 ),
inference(avatar_split_clause,[],[f54492,f21102,f21201,f23831]) ).
thf(f55075,plain,
( spl0_634
| ~ spl0_1087
| ~ spl0_10
| ~ spl0_615
| ~ spl0_1100 ),
inference(avatar_split_clause,[],[f51922,f50018,f20067,f158,f47243,f21105]) ).
thf(f55077,plain,
( spl0_1094
| spl0_647
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f50624,f13055,f21939,f48044]) ).
thf(f55083,plain,
( spl0_1094
| spl0_659
| ~ spl0_630 ),
inference(avatar_split_clause,[],[f50888,f20406,f22882,f48044]) ).
thf(f55086,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_5
| ~ spl0_465
| ~ spl0_513 ),
inference(forward_subsumption_resolution,[],[f54513,f2497]) ).
thf(f55097,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_5
| ~ spl0_465
| ~ spl0_513 ),
inference(forward_subsumption_resolution,[],[f55086,f31]) ).
thf(f55104,plain,
( spl0_637
| spl0_5
| ~ spl0_465
| ~ spl0_513 ),
inference(avatar_split_clause,[],[f55097,f13064,f12030,f118,f21201]) ).
thf(f55109,plain,
( ~ spl0_1087
| spl0_622
| ~ spl0_7
| ~ spl0_13
| ~ spl0_615 ),
inference(avatar_split_clause,[],[f51458,f20067,f195,f125,f20349,f47243]) ).
thf(f55176,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_1087 ),
inference(constrained_superposition,[],[f32,f47244]) ).
thf(f55178,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_1087 ),
inference(trivial_inequality_removal,[],[f55176]) ).
thf(f55181,plain,
( spl0_1167
| ~ spl0_1087 ),
inference(avatar_split_clause,[],[f55178,f47243,f54120]) ).
thf(f55185,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_622 ),
inference(constrained_superposition,[],[f32,f20350]) ).
thf(f55189,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_622 ),
inference(trivial_inequality_removal,[],[f55185]) ).
thf(f55190,plain,
( spl0_1112
| ~ spl0_622 ),
inference(avatar_split_clause,[],[f55189,f20349,f52921]) ).
thf(f55199,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_634 ),
inference(constrained_superposition,[],[f32,f21106]) ).
thf(f55207,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_634 ),
inference(trivial_inequality_removal,[],[f55199]) ).
thf(f55229,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| spl0_5
| ~ spl0_18 ),
inference(constrained_superposition,[],[f55069,f36]) ).
thf(f55231,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) )
| spl0_5
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f55229]) ).
thf(f55245,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_10
| spl0_1089 ),
inference(constrained_superposition,[],[f47800,f159]) ).
thf(f55247,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_107
| spl0_1089 ),
inference(constrained_superposition,[],[f47800,f4319]) ).
thf(f55252,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_10
| spl0_1089 ),
inference(trivial_inequality_removal,[],[f55245]) ).
thf(f55256,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_107
| spl0_1089 ),
inference(trivial_inequality_removal,[],[f55247]) ).
thf(f55260,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_1080 ),
inference(constrained_superposition,[],[f45045,f29]) ).
thf(f55265,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_1080 ),
inference(constrained_superposition,[],[f45045,f76]) ).
thf(f55268,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_1080 ),
inference(trivial_inequality_removal,[],[f55265]) ).
thf(f55271,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_1080 ),
inference(trivial_inequality_removal,[],[f55260]) ).
thf(f55303,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_1102 ),
inference(constrained_superposition,[],[f50700,f35]) ).
thf(f55305,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_1102 ),
inference(constrained_superposition,[],[f50700,f286]) ).
thf(f55309,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_1102 ),
inference(trivial_inequality_removal,[],[f55305]) ).
thf(f55310,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_1102 ),
inference(trivial_inequality_removal,[],[f55303]) ).
thf(f55328,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_511
| ~ spl0_1094 ),
inference(constrained_superposition,[],[f48045,f13056]) ).
thf(f55338,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_511
| ~ spl0_1094 ),
inference(trivial_inequality_removal,[],[f55328]) ).
thf(f55339,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_615
| ~ spl0_634 ),
inference(constrained_superposition,[],[f55207,f20068]) ).
thf(f55352,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_615
| ~ spl0_634 ),
inference(trivial_inequality_removal,[],[f55339]) ).
thf(f55358,plain,
( ~ spl0_507
| spl0_1092
| ~ spl0_615
| ~ spl0_634 ),
inference(avatar_split_clause,[],[f55352,f21105,f20067,f48036,f13038]) ).
thf(f55435,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_647
| ~ spl0_1167 ),
inference(constrained_superposition,[],[f54121,f21940]) ).
thf(f55450,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_647
| ~ spl0_1167 ),
inference(duplicate_literal_removal,[],[f55435]) ).
thf(f55451,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_647
| ~ spl0_1167 ),
inference(trivial_inequality_removal,[],[f55450]) ).
thf(f55457,plain,
( spl0_686
| ~ spl0_647
| ~ spl0_1167 ),
inference(avatar_split_clause,[],[f55451,f54120,f21939,f25147]) ).
thf(f55483,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_634
| ~ spl0_1112 ),
inference(constrained_superposition,[],[f52922,f21106]) ).
thf(f55494,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_634
| ~ spl0_1112 ),
inference(duplicate_literal_removal,[],[f55483]) ).
thf(f55495,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_634
| ~ spl0_1112 ),
inference(trivial_inequality_removal,[],[f55494]) ).
thf(f55687,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_1080 ),
inference(constrained_superposition,[],[f55271,f29]) ).
thf(f55690,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_1080 ),
inference(trivial_inequality_removal,[],[f55687]) ).
thf(f55698,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_1080 ),
inference(constrained_superposition,[],[f51442,f55690]) ).
thf(f55715,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_1080 ),
inference(trivial_inequality_removal,[],[f55698]) ).
thf(f55725,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_7
| ~ spl0_1077 ),
inference(constrained_superposition,[],[f44682,f126]) ).
thf(f55727,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ X0 )
= z ) )
| spl0_5
| ~ spl0_18
| ~ spl0_1077 ),
inference(constrained_superposition,[],[f44682,f55231]) ).
thf(f55732,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_876
| ~ spl0_1077 ),
inference(constrained_superposition,[],[f44682,f35663]) ).
thf(f55739,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_7
| ~ spl0_1077 ),
inference(duplicate_literal_removal,[],[f55725]) ).
thf(f55740,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_7
| ~ spl0_1077 ),
inference(trivial_inequality_removal,[],[f55739]) ).
thf(f55741,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( ( s @ X0 )
= z )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| spl0_5
| ~ spl0_18
| ~ spl0_1077 ),
inference(duplicate_literal_removal,[],[f55727]) ).
thf(f55742,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= z )
| ( z = X0 ) )
| spl0_5
| ~ spl0_18
| ~ spl0_1077 ),
inference(trivial_inequality_removal,[],[f55741]) ).
thf(f55745,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_876
| ~ spl0_1077 ),
inference(duplicate_literal_removal,[],[f55732]) ).
thf(f55746,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_876
| ~ spl0_1077 ),
inference(trivial_inequality_removal,[],[f55745]) ).
thf(f55753,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_7
| ~ spl0_1077 ),
inference(forward_subsumption_resolution,[],[f55740,f31]) ).
thf(f55754,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| spl0_5
| ~ spl0_18
| ~ spl0_1077 ),
inference(forward_subsumption_resolution,[],[f55742,f31]) ).
thf(f55777,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_686
| ~ spl0_876
| ~ spl0_1077 ),
inference(constrained_superposition,[],[f25148,f55746]) ).
thf(f55980,plain,
( ( ( s @ z )
!= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_639 ),
inference(avatar_component_clause,[],[f21282]) ).
thf(f55982,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_2
| spl0_639 ),
inference(extensionality_resolution,[],[f51174,f55980]) ).
thf(f55983,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_2
| spl0_639 ),
inference(extensionality_resolution,[],[f51174,f55980]) ).
thf(f55986,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_639 ),
inference(extensionality_resolution,[],[f77,f55980]) ).
thf(f55993,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_760 ),
inference(avatar_component_clause,[],[f31471]) ).
thf(f55996,definition,
( spl0_1187
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1187])],[avatar_definition]) ).
thf(f55997,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_1187 ),
inference(avatar_component_clause,[],[f55996]) ).
thf(f55999,definition,
( spl0_1188
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1188])],[avatar_definition]) ).
thf(f56000,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_1188 ),
inference(avatar_component_clause,[],[f55999]) ).
thf(f56001,plain,
( spl0_1187
| spl0_1188
| spl0_639 ),
inference(avatar_split_clause,[],[f55986,f21282,f55999,f55996]) ).
thf(f56004,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_686
| ~ spl0_760 ),
inference(constrained_superposition,[],[f25148,f55993]) ).
thf(f56011,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_760 ),
inference(constrained_superposition,[],[f51442,f55993]) ).
thf(f56020,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_760 ),
inference(trivial_inequality_removal,[],[f56011]) ).
thf(f56027,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_686
| ~ spl0_760 ),
inference(trivial_inequality_removal,[],[f56004]) ).
thf(f56030,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_7
| ~ spl0_13
| spl0_507
| ~ spl0_760 ),
inference(forward_subsumption_resolution,[],[f56020,f44450]) ).
thf(f56033,definition,
( spl0_1189
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1189])],[avatar_definition]) ).
thf(f56034,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1189 ),
inference(avatar_component_clause,[],[f56033]) ).
thf(f56036,definition,
( spl0_1190
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1190])],[avatar_definition]) ).
thf(f56037,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_1190 ),
inference(avatar_component_clause,[],[f56036]) ).
thf(f56040,plain,
( ~ spl0_1190
| ~ spl0_7
| ~ spl0_13
| spl0_507
| ~ spl0_760 ),
inference(avatar_split_clause,[],[f56030,f31471,f13038,f195,f125,f56036]) ).
thf(f56042,plain,
( ~ spl0_1190
| ~ spl0_686
| ~ spl0_760 ),
inference(avatar_split_clause,[],[f56027,f31471,f25147,f56036]) ).
thf(f56044,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_7
| spl0_1190 ),
inference(constrained_superposition,[],[f56037,f126]) ).
thf(f56049,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_68
| spl0_1190 ),
inference(constrained_superposition,[],[f56037,f51063]) ).
thf(f56056,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_68
| spl0_1190 ),
inference(trivial_inequality_removal,[],[f56049]) ).
thf(f56058,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_7
| spl0_1190 ),
inference(trivial_inequality_removal,[],[f56044]) ).
thf(f56065,definition,
( spl0_1191
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1191])],[avatar_definition]) ).
thf(f56066,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_1191 ),
inference(avatar_component_clause,[],[f56065]) ).
thf(f56068,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_68
| spl0_1190 ),
inference(forward_subsumption_resolution,[],[f56056,f31]) ).
thf(f56071,definition,
( spl0_1192
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1192])],[avatar_definition]) ).
thf(f56072,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_1192 ),
inference(avatar_component_clause,[],[f56071]) ).
thf(f56078,plain,
( spl0_1191
| ~ spl0_68
| spl0_1190 ),
inference(avatar_split_clause,[],[f56068,f56036,f1302,f56065]) ).
thf(f56082,plain,
( spl0_1192
| ~ spl0_7
| spl0_1190 ),
inference(avatar_split_clause,[],[f56058,f56036,f125,f56071]) ).
thf(f56146,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_642
| ~ spl0_1188 ),
inference(constrained_superposition,[],[f21361,f56000]) ).
thf(f56167,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_642
| ~ spl0_1188 ),
inference(trivial_inequality_removal,[],[f56146]) ).
thf(f56188,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_511
| ~ spl0_642
| ~ spl0_1188 ),
inference(forward_subsumption_resolution,[],[f56167,f13056]) ).
thf(f56195,definition,
( spl0_1195
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1195])],[avatar_definition]) ).
thf(f56196,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_1195 ),
inference(avatar_component_clause,[],[f56195]) ).
thf(f56200,definition,
( spl0_1196
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1196])],[avatar_definition]) ).
thf(f56201,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_1196 ),
inference(avatar_component_clause,[],[f56200]) ).
thf(f56202,plain,
( ~ spl0_764
| spl0_1196
| ~ spl0_511
| ~ spl0_642
| ~ spl0_1188 ),
inference(avatar_split_clause,[],[f56188,f55999,f21360,f13055,f56200,f31558]) ).
thf(f56213,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_1187 ),
inference(constrained_superposition,[],[f51442,f55997]) ).
thf(f56217,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_1187 ),
inference(constrained_superposition,[],[f32,f55997]) ).
thf(f56221,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_1187 ),
inference(trivial_inequality_removal,[],[f56213]) ).
thf(f56226,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_1187 ),
inference(trivial_inequality_removal,[],[f56217]) ).
thf(f56588,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| spl0_5
| ~ spl0_18
| spl0_612
| ~ spl0_1077 ),
inference(constrained_superposition,[],[f44449,f55754]) ).
thf(f56814,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) )
| spl0_5
| ~ spl0_18
| spl0_612
| ~ spl0_691
| ~ spl0_1077 ),
inference(forward_subsumption_resolution,[],[f56588,f25232]) ).
thf(f56836,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( ( s @ X0 )
= z )
| ( $true != $true ) )
| spl0_5
| ~ spl0_18
| spl0_612
| ~ spl0_691
| ~ spl0_1077 ),
inference(constrained_superposition,[],[f56814,f77]) ).
thf(f56838,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ X0 )
= z )
| ( z = X0 ) )
| spl0_5
| ~ spl0_18
| spl0_612
| ~ spl0_691
| ~ spl0_1077 ),
inference(trivial_inequality_removal,[],[f56836]) ).
thf(f56842,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 ) )
| spl0_5
| ~ spl0_18
| spl0_612
| ~ spl0_691
| ~ spl0_1077 ),
inference(forward_subsumption_resolution,[],[f56838,f31]) ).
thf(f56859,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X0 ) )
| spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_612
| ~ spl0_691
| ~ spl0_1077 ),
inference(constrained_superposition,[],[f562,f56842]) ).
thf(f56872,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( z = X0 )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_612
| ~ spl0_691
| ~ spl0_1077 ),
inference(trivial_inequality_removal,[],[f56859]) ).
thf(f56906,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ X0 ) )
= X1 )
| ( z = X0 )
| ( $true != $true ) )
| spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_612
| ~ spl0_691
| ~ spl0_1077 ),
inference(constrained_superposition,[],[f56872,f29]) ).
thf(f56914,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ X0 ) )
= X1 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ X1 )
= $true ) )
| spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_612
| ~ spl0_691
| ~ spl0_1077 ),
inference(trivial_inequality_removal,[],[f56906]) ).
thf(f57749,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_7
| ~ spl0_683
| ~ spl0_1077 ),
inference(constrained_superposition,[],[f24922,f55753]) ).
thf(f57779,plain,
( ! [X0: $i] :
( ( ( s @ z )
!= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_7
| spl0_639
| ~ spl0_1077 ),
inference(constrained_superposition,[],[f55980,f55753]) ).
thf(f58436,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ X1 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_7
| ~ spl0_71
| ~ spl0_683
| ~ spl0_1077 ),
inference(constrained_superposition,[],[f57749,f1589]) ).
thf(f58438,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ X1 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X1 ) ) @ z )
= $true ) )
| ~ spl0_7
| ~ spl0_71
| ~ spl0_683
| ~ spl0_1077 ),
inference(trivial_inequality_removal,[],[f58436]) ).
thf(f62517,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_686
| ~ spl0_876
| ~ spl0_1077
| ~ spl0_1087 ),
inference(constrained_superposition,[],[f55777,f47244]) ).
thf(f62527,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_686
| ~ spl0_876
| ~ spl0_1077
| ~ spl0_1087 ),
inference(trivial_inequality_removal,[],[f62517]) ).
thf(f62544,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= ( s @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_686
| ~ spl0_876
| ~ spl0_1077
| ~ spl0_1087 ),
inference(constrained_superposition,[],[f62527,f77]) ).
thf(f62555,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_686
| ~ spl0_876
| ~ spl0_1077
| ~ spl0_1087 ),
inference(trivial_inequality_removal,[],[f62544]) ).
thf(f62566,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( s @ z )
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_7
| ~ spl0_71
| ~ spl0_683
| ~ spl0_686
| ~ spl0_876
| ~ spl0_1077
| ~ spl0_1087 ),
inference(forward_subsumption_resolution,[],[f62555,f58438]) ).
thf(f62568,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_7
| ~ spl0_71
| spl0_639
| ~ spl0_683
| ~ spl0_686
| ~ spl0_876
| ~ spl0_1077
| ~ spl0_1087 ),
inference(forward_subsumption_resolution,[],[f62566,f57779]) ).
thf(f62569,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_7
| ~ spl0_71
| spl0_639
| ~ spl0_683
| ~ spl0_686
| ~ spl0_876
| ~ spl0_1077
| ~ spl0_1087 ),
inference(forward_subsumption_resolution,[],[f62568,f31]) ).
thf(f62570,plain,
( spl0_493
| ~ spl0_7
| ~ spl0_71
| spl0_639
| ~ spl0_683
| ~ spl0_686
| ~ spl0_876
| ~ spl0_1077
| ~ spl0_1087 ),
inference(avatar_split_clause,[],[f62569,f47243,f44681,f35662,f25147,f24921,f21282,f1588,f125,f12839]) ).
thf(f64734,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ X1 ) )
= ( s @ ( s @ X0 ) ) ) )
| spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_612
| ~ spl0_691
| ~ spl0_1077 ),
inference(constrained_superposition,[],[f56914,f56842]) ).
thf(f64744,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 )
| ( z = X1 )
| ( ( s @ ( s @ X1 ) )
= ( s @ ( s @ X0 ) ) ) )
| spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_612
| ~ spl0_691
| ~ spl0_1077 ),
inference(trivial_inequality_removal,[],[f64734]) ).
thf(f64805,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( z
= ( s @ z ) )
| ( $true != $true ) )
| spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_612
| ~ spl0_686
| ~ spl0_691
| ~ spl0_1077 ),
inference(constrained_superposition,[],[f25148,f64744]) ).
thf(f64814,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X0 )
| ( $true != $true ) )
| spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_612
| ~ spl0_634
| ~ spl0_691
| ~ spl0_1077
| ~ spl0_1112 ),
inference(constrained_superposition,[],[f55495,f64744]) ).
thf(f64854,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( z = X0 )
| ( z
= ( s @ ( s @ z ) ) ) )
| spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_612
| ~ spl0_634
| ~ spl0_691
| ~ spl0_1077
| ~ spl0_1112 ),
inference(trivial_inequality_removal,[],[f64814]) ).
thf(f64860,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( z = X0 ) )
| spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_612
| ~ spl0_686
| ~ spl0_691
| ~ spl0_1077 ),
inference(trivial_inequality_removal,[],[f64805]) ).
thf(f64903,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z = X0 ) )
| spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_612
| ~ spl0_634
| ~ spl0_691
| ~ spl0_1077
| ~ spl0_1112 ),
inference(forward_subsumption_resolution,[],[f64854,f31]) ).
thf(f64917,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) )
| spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_612
| ~ spl0_686
| ~ spl0_691
| ~ spl0_1077 ),
inference(forward_subsumption_resolution,[],[f64860,f31]) ).
thf(f64976,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_5
| ~ spl0_10
| ~ spl0_18
| ~ spl0_41
| spl0_612
| ~ spl0_686
| ~ spl0_691
| ~ spl0_1077 ),
inference(constrained_superposition,[],[f64917,f159]) ).
thf(f64986,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ X0 ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 ) )
| spl0_5
| ~ spl0_10
| ~ spl0_18
| ~ spl0_41
| spl0_612
| ~ spl0_686
| ~ spl0_691
| ~ spl0_1077 ),
inference(trivial_inequality_removal,[],[f64976]) ).
thf(f65031,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| spl0_5
| ~ spl0_10
| ~ spl0_18
| ~ spl0_41
| ~ spl0_493
| spl0_612
| ~ spl0_686
| ~ spl0_691
| ~ spl0_1077 ),
inference(constrained_superposition,[],[f12840,f64986]) ).
thf(f65983,definition,
( spl0_1218
<=> ! [X1: $i] :
( ( ( r @ z @ ( s @ ( s @ X1 ) ) )
= $true )
| ( z = X1 )
| ( ( s @ z )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1218])],[avatar_definition]) ).
thf(f65984,plain,
( ! [X1: $i] :
( ( ( r @ z @ ( s @ ( s @ X1 ) ) )
= $true )
| ( z = X1 )
| ( ( s @ z )
= X1 ) )
| ~ spl0_1218 ),
inference(avatar_component_clause,[],[f65983]) ).
thf(f65991,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 ) )
| spl0_5
| ~ spl0_10
| ~ spl0_18
| ~ spl0_41
| ~ spl0_493
| spl0_507
| spl0_612
| ~ spl0_686
| ~ spl0_691
| ~ spl0_1077 ),
inference(forward_subsumption_resolution,[],[f65031,f44450]) ).
thf(f66030,plain,
( spl0_1218
| spl0_5
| ~ spl0_10
| ~ spl0_18
| ~ spl0_41
| ~ spl0_493
| spl0_507
| spl0_612
| ~ spl0_686
| ~ spl0_691
| ~ spl0_1077 ),
inference(avatar_split_clause,[],[f65991,f44681,f25231,f25147,f19849,f13038,f12839,f561,f234,f158,f118,f65983]) ).
thf(f66641,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_612
| ~ spl0_634
| ~ spl0_691
| ~ spl0_1077
| ~ spl0_1112
| ~ spl0_1192 ),
inference(constrained_superposition,[],[f64903,f56072]) ).
thf(f66681,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_612
| ~ spl0_634
| ~ spl0_691
| ~ spl0_1077
| ~ spl0_1112
| ~ spl0_1192 ),
inference(trivial_inequality_removal,[],[f66641]) ).
thf(f66703,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_612
| ~ spl0_634
| ~ spl0_691
| ~ spl0_1077
| ~ spl0_1112
| ~ spl0_1192 ),
inference(forward_subsumption_resolution,[],[f66681,f31]) ).
thf(f66942,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
!= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_612
| ~ spl0_634
| ~ spl0_691
| ~ spl0_1077
| ~ spl0_1112
| ~ spl0_1192 ),
inference(constrained_superposition,[],[f30,f66703]) ).
thf(f67256,definition,
( spl0_1233
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1233])],[avatar_definition]) ).
thf(f67257,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1233 ),
inference(avatar_component_clause,[],[f67256]) ).
thf(f67259,definition,
( spl0_1234
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1234])],[avatar_definition]) ).
thf(f67260,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_1234 ),
inference(avatar_component_clause,[],[f67259]) ).
thf(f67304,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_612
| ~ spl0_634
| ~ spl0_691
| ~ spl0_1077
| ~ spl0_1112
| ~ spl0_1192 ),
inference(equality_resolution,[],[f66942]) ).
thf(f67557,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_612
| ~ spl0_634
| ~ spl0_691
| ~ spl0_1077
| ~ spl0_1112
| ~ spl0_1192
| ~ spl0_1218 ),
inference(constrained_superposition,[],[f65984,f67304]) ).
thf(f67876,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_56
| spl0_612
| ~ spl0_634
| ~ spl0_691
| ~ spl0_1077
| ~ spl0_1112
| ~ spl0_1192
| ~ spl0_1218 ),
inference(forward_subsumption_resolution,[],[f67557,f13886]) ).
thf(f67948,plain,
( ( z
= ( s @ ( s @ z ) ) )
| spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_56
| spl0_612
| ~ spl0_634
| spl0_637
| ~ spl0_691
| ~ spl0_1077
| ~ spl0_1112
| ~ spl0_1192
| ~ spl0_1218 ),
inference(forward_subsumption_resolution,[],[f67876,f44213]) ).
thf(f67994,plain,
( $false
| spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_56
| spl0_612
| ~ spl0_634
| spl0_637
| ~ spl0_691
| ~ spl0_1077
| ~ spl0_1112
| ~ spl0_1192
| ~ spl0_1218 ),
inference(forward_subsumption_resolution,[],[f67948,f31]) ).
thf(f67995,plain,
( spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_56
| spl0_612
| ~ spl0_634
| spl0_637
| ~ spl0_691
| ~ spl0_1077
| ~ spl0_1112
| ~ spl0_1192
| ~ spl0_1218 ),
inference(avatar_contradiction_clause,[],[f67994]) ).
thf(f68129,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_612
| ~ spl0_698 ),
inference(constrained_superposition,[],[f25692,f19850]) ).
thf(f68141,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_612
| ~ spl0_698 ),
inference(trivial_inequality_removal,[],[f68129]) ).
thf(f68152,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_612
| ~ spl0_698
| ~ spl0_1087 ),
inference(forward_subsumption_resolution,[],[f68141,f47244]) ).
thf(f68157,plain,
( spl0_688
| ~ spl0_612
| ~ spl0_698
| ~ spl0_1087 ),
inference(avatar_split_clause,[],[f68152,f47243,f25691,f19849,f25177]) ).
thf(f68190,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_17
| ~ spl0_615
| ~ spl0_617 ),
inference(constrained_superposition,[],[f50992,f232]) ).
thf(f68232,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_17
| ~ spl0_615
| ~ spl0_617 ),
inference(trivial_inequality_removal,[],[f68190]) ).
thf(f68237,plain,
( $false
| ~ spl0_17
| ~ spl0_615
| ~ spl0_617 ),
inference(forward_subsumption_resolution,[],[f68232,f232]) ).
thf(f68238,plain,
( ~ spl0_17
| ~ spl0_615
| ~ spl0_617 ),
inference(avatar_contradiction_clause,[],[f68237]) ).
thf(f68248,plain,
( spl0_77
| ~ spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f50944,f114,f128,f1820]) ).
thf(f68249,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f51343,f31]) ).
thf(f68252,plain,
( ~ spl0_1087
| spl0_1192
| ~ spl0_7
| ~ spl0_13
| ~ spl0_1187 ),
inference(avatar_split_clause,[],[f56221,f55996,f195,f125,f56071,f47243]) ).
thf(f68254,plain,
( spl0_647
| ~ spl0_8
| ~ spl0_1080 ),
inference(avatar_split_clause,[],[f55268,f45044,f128,f21939]) ).
thf(f68260,plain,
( spl0_26
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f51455,f499,f195,f125,f118,f357]) ).
thf(f68270,plain,
( ~ spl0_59
| spl0_625
| ~ spl0_1102 ),
inference(avatar_split_clause,[],[f55309,f50699,f20360,f1197]) ).
thf(f68278,plain,
( spl0_632
| ~ spl0_526
| spl0_26
| ~ spl0_2
| spl0_56 ),
inference(avatar_split_clause,[],[f52104,f1019,f53,f357,f13145,f20545]) ).
thf(f68289,definition,
( spl0_1252
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1252])],[avatar_definition]) ).
thf(f68290,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_1252 ),
inference(avatar_component_clause,[],[f68289]) ).
thf(f68297,plain,
( spl0_634
| ~ spl0_34
| ~ spl0_1102 ),
inference(avatar_split_clause,[],[f55310,f50699,f448,f21105]) ).
thf(f68298,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f51165,f31]) ).
thf(f68299,plain,
( spl0_79
| ~ spl0_5
| ~ spl0_38
| ~ spl0_698 ),
inference(avatar_split_clause,[],[f50460,f25691,f499,f118,f2499]) ).
thf(f68304,plain,
( spl0_1077
| spl0_507
| ~ spl0_7
| ~ spl0_13
| ~ spl0_1080 ),
inference(avatar_split_clause,[],[f55715,f45044,f195,f125,f13038,f44681]) ).
thf(f68307,plain,
( ~ spl0_8
| ~ spl0_59
| spl0_647
| ~ spl0_670 ),
inference(avatar_split_clause,[],[f50974,f24384,f21939,f1197,f128]) ).
thf(f68309,plain,
( spl0_1075
| spl0_5
| ~ spl0_465 ),
inference(avatar_split_clause,[],[f51936,f12030,f118,f44344]) ).
thf(f68316,plain,
( spl0_634
| ~ spl0_10
| spl0_1089 ),
inference(avatar_split_clause,[],[f55252,f47346,f158,f21105]) ).
thf(f68318,plain,
( spl0_634
| spl0_660
| ~ spl0_107
| spl0_1089 ),
inference(avatar_split_clause,[],[f55256,f47346,f4318,f22885,f21105]) ).
thf(f68320,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_2
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f68249,f31]) ).
thf(f68327,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f68298,f31]) ).
thf(f68333,plain,
( spl0_50
| spl0_26
| ~ spl0_2
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f68320,f1588,f53,f357,f785]) ).
thf(f68335,plain,
( spl0_26
| spl0_19
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f68327,f53,f331,f357]) ).
thf(f68353,plain,
( $false
| ~ spl0_71
| spl0_630 ),
inference(forward_subsumption_resolution,[],[f21270,f1589]) ).
thf(f68354,plain,
( ~ spl0_71
| spl0_630 ),
inference(avatar_contradiction_clause,[],[f68353]) ).
thf(f68365,definition,
( spl0_1256
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1256])],[avatar_definition]) ).
thf(f68366,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_1256 ),
inference(avatar_component_clause,[],[f68365]) ).
thf(f68389,plain,
( ~ spl0_31
| spl0_71
| ~ spl0_7
| ~ spl0_52
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f51301,f1250,f798,f125,f1588,f410]) ).
thf(f68394,plain,
( spl0_1099
| ~ spl0_662
| ~ spl0_511
| ~ spl0_1094 ),
inference(avatar_split_clause,[],[f55338,f48044,f13055,f23464,f49807]) ).
thf(f68398,plain,
( spl0_622
| spl0_635
| spl0_26
| ~ spl0_2
| spl0_639 ),
inference(avatar_split_clause,[],[f55983,f21282,f53,f357,f21165,f20349]) ).
thf(f68399,plain,
( spl0_622
| spl0_625
| spl0_26
| ~ spl0_2
| spl0_639 ),
inference(avatar_split_clause,[],[f55982,f21282,f53,f357,f20360,f20349]) ).
thf(f68400,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_2
| spl0_3 ),
inference(constrained_superposition,[],[f1586,f51803]) ).
thf(f68405,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_2
| spl0_3 ),
inference(trivial_inequality_removal,[],[f68400]) ).
thf(f68407,plain,
( spl0_876
| ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f68405,f111,f53,f35662]) ).
thf(f68424,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_4
| ~ spl0_59 ),
inference(constrained_superposition,[],[f115,f19998]) ).
thf(f68444,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_4
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f68424]) ).
thf(f68450,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_4
| spl0_31
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f68444,f850]) ).
thf(f68451,plain,
( spl0_73
| ~ spl0_8
| ~ spl0_4
| spl0_31
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f68450,f1197,f410,f114,f128,f1599]) ).
thf(f68570,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_764 ),
inference(constrained_superposition,[],[f31559,f36]) ).
thf(f68572,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_764 ),
inference(trivial_inequality_removal,[],[f68570]) ).
thf(f68574,plain,
( spl0_1192
| spl0_764 ),
inference(avatar_split_clause,[],[f68572,f31558,f56071]) ).
thf(f68583,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_2
| spl0_612 ),
inference(constrained_superposition,[],[f44449,f51174]) ).
thf(f68585,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_2
| spl0_612 ),
inference(trivial_inequality_removal,[],[f68583]) ).
thf(f68636,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_1187
| ~ spl0_1191 ),
inference(constrained_superposition,[],[f56226,f56066]) ).
thf(f68649,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_1187
| ~ spl0_1191 ),
inference(trivial_inequality_removal,[],[f68636]) ).
thf(f68654,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_637
| ~ spl0_1187
| ~ spl0_1191 ),
inference(forward_subsumption_resolution,[],[f68649,f21202]) ).
thf(f68655,plain,
( spl0_677
| ~ spl0_637
| ~ spl0_1187
| ~ spl0_1191 ),
inference(avatar_split_clause,[],[f68654,f56065,f55996,f21201,f24550]) ).
thf(f68656,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_52
| ~ spl0_1192 ),
inference(constrained_superposition,[],[f799,f56072]) ).
thf(f68660,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_52
| ~ spl0_1192 ),
inference(trivial_inequality_removal,[],[f68656]) ).
thf(f68662,plain,
( spl0_1256
| ~ spl0_52
| ~ spl0_1192 ),
inference(avatar_split_clause,[],[f68660,f56071,f798,f68365]) ).
thf(f68706,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_635
| ~ spl0_698 ),
inference(constrained_superposition,[],[f25692,f21280]) ).
thf(f68717,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_635
| ~ spl0_698 ),
inference(trivial_inequality_removal,[],[f68706]) ).
thf(f68722,plain,
( spl0_1090
| ~ spl0_1089
| ~ spl0_635
| ~ spl0_698 ),
inference(avatar_split_clause,[],[f68717,f25691,f21165,f47346,f47802]) ).
thf(f68725,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_513 ),
inference(constrained_superposition,[],[f13065,f29]) ).
thf(f68727,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_513 ),
inference(trivial_inequality_removal,[],[f68725]) ).
thf(f68730,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_513
| spl0_639 ),
inference(forward_subsumption_resolution,[],[f68727,f55980]) ).
thf(f68731,plain,
( spl0_1087
| spl0_513
| spl0_639 ),
inference(avatar_split_clause,[],[f68730,f21282,f13064,f47243]) ).
thf(f68772,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_1092
| ~ spl0_1187 ),
inference(constrained_superposition,[],[f48037,f55997]) ).
thf(f68778,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_1092
| ~ spl0_1187 ),
inference(trivial_inequality_removal,[],[f68772]) ).
thf(f68785,plain,
( $false
| ~ spl0_1092
| ~ spl0_1187
| ~ spl0_1192 ),
inference(forward_subsumption_resolution,[],[f68778,f56072]) ).
thf(f68786,plain,
( ~ spl0_1092
| ~ spl0_1187
| ~ spl0_1192 ),
inference(avatar_contradiction_clause,[],[f68785]) ).
thf(f68891,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_73
| ~ spl0_1256 ),
inference(constrained_superposition,[],[f1600,f68366]) ).
thf(f68908,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_73
| ~ spl0_1256 ),
inference(trivial_inequality_removal,[],[f68891]) ).
thf(f68929,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_1195 ),
inference(constrained_superposition,[],[f56196,f35]) ).
thf(f68932,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_1195 ),
inference(trivial_inequality_removal,[],[f68929]) ).
thf(f68934,plain,
( spl0_1191
| spl0_1195 ),
inference(avatar_split_clause,[],[f68932,f56195,f56065]) ).
thf(f68936,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_73
| ~ spl0_1256 ),
inference(constrained_superposition,[],[f68908,f37]) ).
thf(f68940,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_73
| ~ spl0_1256 ),
inference(trivial_inequality_removal,[],[f68936]) ).
thf(f68941,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_1190 ),
inference(avatar_component_clause,[],[f56036]) ).
thf(f68943,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_73
| ~ spl0_1256 ),
inference(forward_subsumption_resolution,[],[f68940,f31]) ).
thf(f68944,plain,
( spl0_1190
| ~ spl0_73
| ~ spl0_1256 ),
inference(avatar_split_clause,[],[f68943,f68365,f1599,f56036]) ).
thf(f68957,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_65
| ~ spl0_1190 ),
inference(constrained_superposition,[],[f1251,f68941]) ).
thf(f68961,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_65
| ~ spl0_1190 ),
inference(trivial_inequality_removal,[],[f68957]) ).
thf(f68968,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_616
| ~ spl0_1099 ),
inference(constrained_superposition,[],[f49808,f20072]) ).
thf(f68974,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_616
| ~ spl0_1099 ),
inference(trivial_inequality_removal,[],[f68968]) ).
thf(f68980,plain,
( ~ spl0_644
| ~ spl0_616
| ~ spl0_1099 ),
inference(avatar_split_clause,[],[f68974,f49807,f20071,f21926]) ).
thf(f68988,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_637
| ~ spl0_686 ),
inference(constrained_superposition,[],[f25148,f21202]) ).
thf(f68991,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_637
| ~ spl0_686 ),
inference(trivial_inequality_removal,[],[f68988]) ).
thf(f69011,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_511
| ~ spl0_1180 ),
inference(constrained_superposition,[],[f54279,f13056]) ).
thf(f69018,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_511
| ~ spl0_1180 ),
inference(trivial_inequality_removal,[],[f69011]) ).
thf(f69023,plain,
( $false
| ~ spl0_59
| ~ spl0_511
| ~ spl0_1180 ),
inference(forward_subsumption_resolution,[],[f69018,f19998]) ).
thf(f69024,plain,
( ~ spl0_59
| ~ spl0_511
| ~ spl0_1180 ),
inference(avatar_contradiction_clause,[],[f69023]) ).
thf(f69026,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_625
| ~ spl0_1252 ),
inference(constrained_superposition,[],[f68290,f20361]) ).
thf(f69038,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_625
| ~ spl0_1252 ),
inference(trivial_inequality_removal,[],[f69026]) ).
thf(f69039,plain,
( $false
| ~ spl0_26
| ~ spl0_625
| ~ spl0_1252 ),
inference(forward_subsumption_resolution,[],[f69038,f358]) ).
thf(f69040,plain,
( ~ spl0_26
| ~ spl0_625
| ~ spl0_1252 ),
inference(avatar_contradiction_clause,[],[f69039]) ).
thf(f69041,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_760 ),
inference(constrained_superposition,[],[f31472,f77]) ).
thf(f69044,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_760 ),
inference(trivial_inequality_removal,[],[f69041]) ).
thf(f69045,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_639
| spl0_760 ),
inference(forward_subsumption_resolution,[],[f69044,f55980]) ).
thf(f69046,plain,
( spl0_761
| spl0_639
| spl0_760 ),
inference(avatar_split_clause,[],[f69045,f31471,f21282,f31514]) ).
thf(f69052,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_683
| ~ spl0_761 ),
inference(constrained_superposition,[],[f24922,f31515]) ).
thf(f69082,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_683
| ~ spl0_761 ),
inference(trivial_inequality_removal,[],[f69052]) ).
thf(f69102,definition,
( spl0_1269
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1269])],[avatar_definition]) ).
thf(f69103,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_1269 ),
inference(avatar_component_clause,[],[f69102]) ).
thf(f69110,definition,
( spl0_1270
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1270])],[avatar_definition]) ).
thf(f69111,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_1270 ),
inference(avatar_component_clause,[],[f69110]) ).
thf(f69114,definition,
( spl0_1271
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1271])],[avatar_definition]) ).
thf(f69115,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1271 ),
inference(avatar_component_clause,[],[f69114]) ).
thf(f69127,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_683
| ~ spl0_761 ),
inference(constrained_superposition,[],[f69082,f29]) ).
thf(f69129,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_683
| ~ spl0_761 ),
inference(trivial_inequality_removal,[],[f69127]) ).
thf(f69131,plain,
( spl0_1271
| spl0_1270
| ~ spl0_683
| ~ spl0_761 ),
inference(avatar_split_clause,[],[f69129,f31514,f24921,f69110,f69114]) ).
thf(f69138,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_698
| ~ spl0_1270 ),
inference(constrained_superposition,[],[f25692,f69111]) ).
thf(f69146,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_698
| ~ spl0_1270 ),
inference(trivial_inequality_removal,[],[f69138]) ).
thf(f69152,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_698
| ~ spl0_1190
| ~ spl0_1270 ),
inference(forward_subsumption_resolution,[],[f69146,f68941]) ).
thf(f69153,plain,
( spl0_1189
| ~ spl0_698
| ~ spl0_1190
| ~ spl0_1270 ),
inference(avatar_split_clause,[],[f69152,f69110,f56036,f25691,f56033]) ).
thf(f69165,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_1196 ),
inference(constrained_superposition,[],[f298,f56201]) ).
thf(f69173,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_1196 ),
inference(duplicate_literal_removal,[],[f69165]) ).
thf(f69174,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_1196 ),
inference(trivial_inequality_removal,[],[f69173]) ).
thf(f69180,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_683
| ~ spl0_761
| ~ spl0_1196 ),
inference(forward_subsumption_resolution,[],[f69174,f69082]) ).
thf(f69328,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f235,f75]) ).
thf(f69330,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f69328]) ).
thf(f69411,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_1234 ),
inference(constrained_superposition,[],[f51442,f67260]) ).
thf(f69416,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_1234 ),
inference(trivial_inequality_removal,[],[f69411]) ).
thf(f69424,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_7
| ~ spl0_13
| spl0_622
| ~ spl0_1234 ),
inference(forward_subsumption_resolution,[],[f69416,f21167]) ).
thf(f69430,plain,
( $false
| ~ spl0_7
| ~ spl0_13
| spl0_622
| ~ spl0_1190
| ~ spl0_1234 ),
inference(forward_subsumption_resolution,[],[f69424,f68941]) ).
thf(f69431,plain,
( ~ spl0_7
| ~ spl0_13
| spl0_622
| ~ spl0_1190
| ~ spl0_1234 ),
inference(avatar_contradiction_clause,[],[f69430]) ).
thf(f69441,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_659
| ~ spl0_669 ),
inference(constrained_superposition,[],[f24206,f22883]) ).
thf(f69442,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_13
| ~ spl0_669 ),
inference(constrained_superposition,[],[f24206,f196]) ).
thf(f69449,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_13
| ~ spl0_669 ),
inference(trivial_inequality_removal,[],[f69442]) ).
thf(f69450,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_659
| ~ spl0_669 ),
inference(trivial_inequality_removal,[],[f69441]) ).
thf(f69456,plain,
( $false
| ~ spl0_46
| ~ spl0_659
| ~ spl0_669 ),
inference(forward_subsumption_resolution,[],[f69450,f653]) ).
thf(f69457,plain,
( ~ spl0_46
| ~ spl0_659
| ~ spl0_669 ),
inference(avatar_contradiction_clause,[],[f69456]) ).
thf(f69471,plain,
( ~ spl0_5
| ~ spl0_637
| ~ spl0_686 ),
inference(avatar_split_clause,[],[f68991,f25147,f21201,f118]) ).
thf(f69477,plain,
( spl0_38
| spl0_43
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f50188,f561,f576,f499]) ).
thf(f69485,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_65
| ~ spl0_683
| ~ spl0_761
| ~ spl0_1190 ),
inference(forward_subsumption_resolution,[],[f68961,f69082]) ).
thf(f69490,plain,
( spl0_1189
| ~ spl0_65
| ~ spl0_683
| ~ spl0_761
| ~ spl0_1190 ),
inference(avatar_split_clause,[],[f69485,f56036,f31514,f24921,f1250,f56033]) ).
thf(f69493,plain,
( spl0_622
| ~ spl0_46
| ~ spl0_13
| ~ spl0_669 ),
inference(avatar_split_clause,[],[f69449,f24205,f195,f652,f20349]) ).
thf(f69495,plain,
( spl0_45
| spl0_46
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f50189,f561,f652,f649]) ).
thf(f69569,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_65
| ~ spl0_1089 ),
inference(constrained_superposition,[],[f1251,f47347]) ).
thf(f69571,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_65
| ~ spl0_1089 ),
inference(trivial_inequality_removal,[],[f69569]) ).
thf(f69573,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_65
| spl0_630
| ~ spl0_1089 ),
inference(forward_subsumption_resolution,[],[f69571,f21270]) ).
thf(f69574,plain,
( spl0_1090
| ~ spl0_65
| spl0_630
| ~ spl0_1089 ),
inference(avatar_split_clause,[],[f69573,f47346,f20406,f1250,f47802]) ).
thf(f69592,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_691
| ~ spl0_1270 ),
inference(constrained_superposition,[],[f25232,f69111]) ).
thf(f69602,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_691
| ~ spl0_1270 ),
inference(trivial_inequality_removal,[],[f69592]) ).
thf(f69742,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_2
| ~ spl0_683
| ~ spl0_761
| ~ spl0_1196 ),
inference(constrained_superposition,[],[f69180,f51174]) ).
thf(f69745,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_2
| ~ spl0_683
| ~ spl0_761
| ~ spl0_1196 ),
inference(trivial_inequality_removal,[],[f69742]) ).
thf(f69753,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_683
| ~ spl0_691
| ~ spl0_761
| ~ spl0_1196 ),
inference(forward_subsumption_resolution,[],[f69745,f25232]) ).
thf(f69756,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_2
| ~ spl0_683
| ~ spl0_691
| ~ spl0_761
| ~ spl0_1196
| ~ spl0_1270 ),
inference(forward_subsumption_resolution,[],[f69753,f69602]) ).
thf(f69758,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_635
| ~ spl0_683
| ~ spl0_691
| ~ spl0_761
| ~ spl0_1196
| ~ spl0_1270 ),
inference(constrained_superposition,[],[f69756,f21280]) ).
thf(f69764,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_635
| ~ spl0_683
| ~ spl0_691
| ~ spl0_761
| ~ spl0_1196
| ~ spl0_1270 ),
inference(trivial_inequality_removal,[],[f69758]) ).
thf(f69777,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_2
| ~ spl0_635
| ~ spl0_683
| ~ spl0_691
| ~ spl0_761
| ~ spl0_1196
| ~ spl0_1270 ),
inference(constrained_superposition,[],[f21280,f69764]) ).
thf(f69879,plain,
( $false
| ~ spl0_2
| spl0_612
| ~ spl0_635
| ~ spl0_683
| ~ spl0_691
| ~ spl0_761
| ~ spl0_1196
| ~ spl0_1270 ),
inference(forward_subsumption_resolution,[],[f69777,f44449]) ).
thf(f69880,plain,
( ~ spl0_2
| spl0_612
| ~ spl0_635
| ~ spl0_683
| ~ spl0_691
| ~ spl0_761
| ~ spl0_1196
| ~ spl0_1270 ),
inference(avatar_contradiction_clause,[],[f69879]) ).
thf(f69909,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f51166,f31]) ).
thf(f69913,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f51810,f31]) ).
thf(f69931,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f69909,f31]) ).
thf(f69933,plain,
( spl0_3
| spl0_7
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f69913,f53,f125,f111]) ).
thf(f69936,plain,
( spl0_13
| spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f69931,f53,f111,f195]) ).
thf(f69975,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_984 ),
inference(constrained_superposition,[],[f75,f41461]) ).
thf(f70054,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_984 ),
inference(forward_subsumption_resolution,[],[f69975,f27]) ).
thf(f70066,plain,
( $false
| ~ spl0_984 ),
inference(forward_subsumption_resolution,[],[f70054,f26]) ).
thf(f70067,plain,
~ spl0_984,
inference(avatar_contradiction_clause,[],[f70066]) ).
thf(f70069,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_634
| ~ spl0_1112 ),
inference(constrained_superposition,[],[f52922,f21106]) ).
thf(f70074,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_634
| ~ spl0_1112 ),
inference(duplicate_literal_removal,[],[f70069]) ).
thf(f70075,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_634
| ~ spl0_1112 ),
inference(trivial_inequality_removal,[],[f70074]) ).
thf(f70076,plain,
( spl0_1252
| ~ spl0_634
| ~ spl0_1112 ),
inference(avatar_split_clause,[],[f70075,f52921,f21105,f68289]) ).
thf(f70094,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_1080 ),
inference(constrained_superposition,[],[f45045,f286]) ).
thf(f70096,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_1080 ),
inference(trivial_inequality_removal,[],[f70094]) ).
thf(f70103,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_615 ),
inference(constrained_superposition,[],[f298,f20068]) ).
thf(f70106,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_615 ),
inference(trivial_inequality_removal,[],[f70103]) ).
thf(f70108,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_615
| spl0_630 ),
inference(forward_subsumption_resolution,[],[f70106,f21270]) ).
thf(f70109,plain,
( spl0_631
| ~ spl0_615
| spl0_630 ),
inference(avatar_split_clause,[],[f70108,f20406,f20067,f20409]) ).
thf(f70705,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_85
| ~ spl0_1087 ),
inference(constrained_superposition,[],[f4183,f47244]) ).
thf(f70709,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| ~ spl0_85
| ~ spl0_1087 ),
inference(trivial_inequality_removal,[],[f70705]) ).
thf(f70725,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_77 ),
inference(constrained_superposition,[],[f1821,f35]) ).
thf(f70727,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_77 ),
inference(constrained_superposition,[],[f1821,f286]) ).
thf(f70735,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f70727]) ).
thf(f70741,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_77 ),
inference(trivial_inequality_removal,[],[f70725]) ).
thf(f70752,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f69330,f36]) ).
thf(f70763,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f70752]) ).
thf(f70806,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2
| ~ spl0_631 ),
inference(constrained_superposition,[],[f20410,f51174]) ).
thf(f70809,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_2
| ~ spl0_631 ),
inference(trivial_inequality_removal,[],[f70806]) ).
thf(f70812,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_2
| ~ spl0_631
| ~ spl0_691 ),
inference(forward_subsumption_resolution,[],[f70809,f25232]) ).
thf(f70813,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| spl0_622
| ~ spl0_631
| ~ spl0_691 ),
inference(forward_subsumption_resolution,[],[f70812,f21167]) ).
thf(f70814,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_2
| spl0_622
| ~ spl0_631
| ~ spl0_691
| ~ spl0_760 ),
inference(constrained_superposition,[],[f70813,f55993]) ).
thf(f70821,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_2
| spl0_622
| ~ spl0_631
| ~ spl0_691
| ~ spl0_760 ),
inference(trivial_inequality_removal,[],[f70814]) ).
thf(f70823,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| spl0_622
| ~ spl0_631
| ~ spl0_691
| ~ spl0_760
| ~ spl0_1270 ),
inference(forward_subsumption_resolution,[],[f70821,f69111]) ).
thf(f70826,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_615
| spl0_622
| ~ spl0_631
| ~ spl0_691
| ~ spl0_760
| ~ spl0_1270 ),
inference(constrained_superposition,[],[f20068,f70823]) ).
thf(f70834,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_2
| spl0_622
| ~ spl0_631
| ~ spl0_691
| ~ spl0_760
| spl0_1089
| ~ spl0_1270 ),
inference(constrained_superposition,[],[f47800,f70823]) ).
thf(f70940,plain,
( $false
| ~ spl0_2
| spl0_622
| ~ spl0_631
| ~ spl0_691
| ~ spl0_760
| ~ spl0_1087
| spl0_1089
| ~ spl0_1270 ),
inference(forward_subsumption_resolution,[],[f70834,f47244]) ).
thf(f70941,plain,
( ~ spl0_2
| spl0_622
| ~ spl0_631
| ~ spl0_691
| ~ spl0_760
| ~ spl0_1087
| spl0_1089
| ~ spl0_1270 ),
inference(avatar_contradiction_clause,[],[f70940]) ).
thf(f70954,plain,
( $false
| ~ spl0_2
| ~ spl0_615
| spl0_622
| ~ spl0_631
| ~ spl0_691
| ~ spl0_760
| ~ spl0_1270 ),
inference(forward_subsumption_resolution,[],[f70826,f27]) ).
thf(f70955,plain,
( ~ spl0_2
| ~ spl0_615
| spl0_622
| ~ spl0_631
| ~ spl0_691
| ~ spl0_760
| ~ spl0_1270 ),
inference(avatar_contradiction_clause,[],[f70954]) ).
thf(f70969,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_2
| spl0_760 ),
inference(constrained_superposition,[],[f31472,f51174]) ).
thf(f70971,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_2
| spl0_760 ),
inference(trivial_inequality_removal,[],[f70969]) ).
thf(f70973,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_691
| spl0_760
| ~ spl0_1270 ),
inference(forward_subsumption_resolution,[],[f70971,f69602]) ).
thf(f70974,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| spl0_507
| ~ spl0_691
| spl0_760
| ~ spl0_1270 ),
inference(forward_subsumption_resolution,[],[f70973,f44450]) ).
thf(f70975,plain,
( spl0_640
| ~ spl0_2
| spl0_507
| ~ spl0_691
| spl0_760
| ~ spl0_1270 ),
inference(avatar_split_clause,[],[f70974,f69110,f31471,f25231,f13038,f53,f21286]) ).
thf(f70995,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1111 ),
inference(avatar_component_clause,[],[f52916]) ).
thf(f70996,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_1270 ),
inference(avatar_component_clause,[],[f69110]) ).
thf(f70999,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_615
| ~ spl0_1111 ),
inference(constrained_superposition,[],[f20068,f70995]) ).
thf(f71000,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_617
| ~ spl0_1111 ),
inference(constrained_superposition,[],[f20075,f70995]) ).
thf(f71002,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_634
| ~ spl0_1111 ),
inference(constrained_superposition,[],[f21106,f70995]) ).
thf(f71004,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_630
| ~ spl0_1111 ),
inference(constrained_superposition,[],[f21270,f70995]) ).
thf(f71007,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_1089
| ~ spl0_1111 ),
inference(constrained_superposition,[],[f47800,f70995]) ).
thf(f71103,plain,
( $false
| ~ spl0_617
| ~ spl0_1111 ),
inference(forward_subsumption_resolution,[],[f71000,f27]) ).
thf(f71104,plain,
( ~ spl0_617
| ~ spl0_1111 ),
inference(avatar_contradiction_clause,[],[f71103]) ).
thf(f71111,plain,
( $false
| ~ spl0_511
| spl0_630
| ~ spl0_1111 ),
inference(forward_subsumption_resolution,[],[f71004,f13056]) ).
thf(f71112,plain,
( ~ spl0_511
| spl0_630
| ~ spl0_1111 ),
inference(avatar_contradiction_clause,[],[f71111]) ).
thf(f71113,plain,
( $false
| ~ spl0_615
| ~ spl0_1111 ),
inference(forward_subsumption_resolution,[],[f70999,f27]) ).
thf(f71114,plain,
( ~ spl0_615
| ~ spl0_1111 ),
inference(avatar_contradiction_clause,[],[f71113]) ).
thf(f71116,plain,
( $false
| ~ spl0_634
| spl0_637
| ~ spl0_1111 ),
inference(forward_subsumption_resolution,[],[f71002,f44213]) ).
thf(f71117,plain,
( ~ spl0_634
| spl0_637
| ~ spl0_1111 ),
inference(avatar_contradiction_clause,[],[f71116]) ).
thf(f71123,plain,
( $false
| ~ spl0_1087
| spl0_1089
| ~ spl0_1111 ),
inference(forward_subsumption_resolution,[],[f71007,f47244]) ).
thf(f71124,plain,
( ~ spl0_1087
| spl0_1089
| ~ spl0_1111 ),
inference(avatar_contradiction_clause,[],[f71123]) ).
thf(f71159,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_1270 ),
inference(constrained_superposition,[],[f70996,f285]) ).
thf(f71162,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_1270 ),
inference(trivial_inequality_removal,[],[f71159]) ).
thf(f71166,plain,
( spl0_1256
| spl0_1270 ),
inference(avatar_split_clause,[],[f71162,f69110,f68365]) ).
thf(f71168,plain,
( ~ spl0_34
| spl0_10
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f70741,f1820,f158,f448]) ).
thf(f71173,plain,
( ~ spl0_34
| spl0_7
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f70763,f234,f125,f448]) ).
thf(f71179,plain,
( ~ spl0_59
| spl0_22
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f70735,f1820,f341,f1197]) ).
thf(f71180,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_31
| ~ spl0_85 ),
inference(constrained_superposition,[],[f4183,f411]) ).
thf(f71183,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_31
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f71180]) ).
thf(f71243,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_41
| ~ spl0_1256 ),
inference(constrained_superposition,[],[f562,f68366]) ).
thf(f71271,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_41
| ~ spl0_1256 ),
inference(trivial_inequality_removal,[],[f71243]) ).
thf(f71323,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_1234
| ~ spl0_1252 ),
inference(constrained_superposition,[],[f68290,f67260]) ).
thf(f71329,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_1234
| ~ spl0_1252 ),
inference(trivial_inequality_removal,[],[f71323]) ).
thf(f71331,plain,
( $false
| ~ spl0_1192
| ~ spl0_1234
| ~ spl0_1252 ),
inference(forward_subsumption_resolution,[],[f71329,f56072]) ).
thf(f71332,plain,
( ~ spl0_1192
| ~ spl0_1234
| ~ spl0_1252 ),
inference(avatar_contradiction_clause,[],[f71331]) ).
thf(f71338,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_18
| ~ spl0_1233 ),
inference(constrained_superposition,[],[f69330,f67257]) ).
thf(f71365,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_18
| ~ spl0_1233 ),
inference(trivial_inequality_removal,[],[f71338]) ).
thf(f71377,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_18
| spl0_1190
| ~ spl0_1233 ),
inference(forward_subsumption_resolution,[],[f71365,f56037]) ).
thf(f71391,plain,
( ~ spl0_644
| ~ spl0_18
| spl0_1190
| ~ spl0_1233 ),
inference(avatar_split_clause,[],[f71377,f67256,f56036,f234,f21926]) ).
thf(f71401,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_41
| ~ spl0_1256 ),
inference(constrained_superposition,[],[f71271,f75]) ).
thf(f71406,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_41
| ~ spl0_1256 ),
inference(trivial_inequality_removal,[],[f71401]) ).
thf(f71410,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_41
| ~ spl0_62
| ~ spl0_1256 ),
inference(forward_subsumption_resolution,[],[f71406,f14944]) ).
thf(f71411,plain,
( $false
| ~ spl0_41
| ~ spl0_62
| spl0_1190
| ~ spl0_1256 ),
inference(forward_subsumption_resolution,[],[f71410,f56037]) ).
thf(f71412,plain,
( ~ spl0_41
| ~ spl0_62
| spl0_1190
| ~ spl0_1256 ),
inference(avatar_contradiction_clause,[],[f71411]) ).
thf(f71414,plain,
( spl0_55
| ~ spl0_26
| ~ spl0_31
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f71183,f4182,f410,f357,f852]) ).
thf(f71416,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_511 ),
inference(forward_subsumption_resolution,[],[f51162,f31]) ).
thf(f71433,plain,
( spl0_507
| spl0_26
| spl0_632
| ~ spl0_2
| spl0_56 ),
inference(avatar_split_clause,[],[f52115,f1019,f53,f20545,f357,f13038]) ).
thf(f71439,plain,
( ~ spl0_507
| spl0_688
| ~ spl0_85
| ~ spl0_1087 ),
inference(avatar_split_clause,[],[f70709,f47243,f4182,f25177,f13038]) ).
thf(f71440,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_2
| spl0_56
| spl0_612 ),
inference(forward_subsumption_resolution,[],[f68585,f13886]) ).
thf(f71442,plain,
( ~ spl0_61
| spl0_632
| ~ spl0_1080 ),
inference(avatar_split_clause,[],[f70096,f45044,f20545,f1204]) ).
thf(f71443,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_511 ),
inference(forward_subsumption_resolution,[],[f71416,f31]) ).
thf(f71449,plain,
( spl0_507
| spl0_26
| ~ spl0_2
| spl0_56
| spl0_612 ),
inference(avatar_split_clause,[],[f71440,f19849,f1019,f53,f357,f13038]) ).
thf(f71451,plain,
( spl0_507
| spl0_26
| ~ spl0_2
| ~ spl0_511 ),
inference(avatar_split_clause,[],[f71443,f13055,f53,f357,f13038]) ).
thf(f71488,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_632
| ~ spl0_686 ),
inference(constrained_superposition,[],[f25148,f20546]) ).
thf(f71496,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_632
| ~ spl0_686 ),
inference(trivial_inequality_removal,[],[f71488]) ).
thf(f71497,plain,
( $false
| ~ spl0_31
| ~ spl0_632
| ~ spl0_686 ),
inference(forward_subsumption_resolution,[],[f71496,f411]) ).
thf(f71498,plain,
( ~ spl0_31
| ~ spl0_632
| ~ spl0_686 ),
inference(avatar_contradiction_clause,[],[f71497]) ).
thf(f71612,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_677
| ~ spl0_760 ),
inference(constrained_superposition,[],[f24551,f55993]) ).
thf(f71617,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_677
| ~ spl0_760 ),
inference(trivial_inequality_removal,[],[f71612]) ).
thf(f71622,plain,
( $false
| ~ spl0_677
| ~ spl0_760
| ~ spl0_1191 ),
inference(forward_subsumption_resolution,[],[f71617,f56066]) ).
thf(f71623,plain,
( ~ spl0_677
| ~ spl0_760
| ~ spl0_1191 ),
inference(avatar_contradiction_clause,[],[f71622]) ).
thf(f71735,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_509
| ~ spl0_1188 ),
inference(constrained_superposition,[],[f13046,f56000]) ).
thf(f71765,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_509
| ~ spl0_1188 ),
inference(trivial_inequality_removal,[],[f71735]) ).
thf(f71794,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_635
| ~ spl0_1090 ),
inference(constrained_superposition,[],[f47803,f21280]) ).
thf(f71798,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_635
| ~ spl0_1090 ),
inference(trivial_inequality_removal,[],[f71794]) ).
thf(f71808,plain,
( $false
| ~ spl0_31
| ~ spl0_635
| ~ spl0_1090 ),
inference(forward_subsumption_resolution,[],[f71798,f411]) ).
thf(f71809,plain,
( ~ spl0_31
| ~ spl0_635
| ~ spl0_1090 ),
inference(avatar_contradiction_clause,[],[f71808]) ).
thf(f71896,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_18
| ~ spl0_761 ),
inference(constrained_superposition,[],[f69330,f31515]) ).
thf(f71921,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_18
| ~ spl0_761 ),
inference(trivial_inequality_removal,[],[f71896]) ).
thf(f71992,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_1189
| ~ spl0_1270 ),
inference(constrained_superposition,[],[f56034,f69111]) ).
thf(f72001,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_1189
| ~ spl0_1270 ),
inference(trivial_inequality_removal,[],[f71992]) ).
thf(f72007,plain,
( $false
| ~ spl0_31
| ~ spl0_1189
| ~ spl0_1270 ),
inference(forward_subsumption_resolution,[],[f72001,f411]) ).
thf(f72008,plain,
( ~ spl0_31
| ~ spl0_1189
| ~ spl0_1270 ),
inference(avatar_contradiction_clause,[],[f72007]) ).
thf(f72014,plain,
( $false
| ~ spl0_509
| ~ spl0_1188
| ~ spl0_1256 ),
inference(forward_subsumption_resolution,[],[f68366,f71765]) ).
thf(f72015,plain,
( ~ spl0_509
| ~ spl0_1188
| ~ spl0_1256 ),
inference(avatar_contradiction_clause,[],[f72014]) ).
thf(f72020,plain,
( ~ spl0_61
| spl0_683
| ~ spl0_511
| ~ spl0_623 ),
inference(avatar_split_clause,[],[f49987,f20352,f13055,f24921,f1204]) ).
thf(f72082,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_691
| ~ spl0_1270 ),
inference(constrained_superposition,[],[f25232,f69111]) ).
thf(f72089,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_691
| ~ spl0_1270 ),
inference(trivial_inequality_removal,[],[f72082]) ).
thf(f72091,plain,
( $false
| ~ spl0_691
| ~ spl0_1192
| ~ spl0_1270 ),
inference(forward_subsumption_resolution,[],[f72089,f56072]) ).
thf(f72092,plain,
( ~ spl0_691
| ~ spl0_1192
| ~ spl0_1270 ),
inference(avatar_contradiction_clause,[],[f72091]) ).
thf(f72171,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_688
| ~ spl0_1187 ),
inference(constrained_superposition,[],[f25178,f55997]) ).
thf(f72175,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_688
| ~ spl0_1187 ),
inference(trivial_inequality_removal,[],[f72171]) ).
thf(f72177,plain,
( $false
| ~ spl0_688
| ~ spl0_1187
| ~ spl0_1190 ),
inference(forward_subsumption_resolution,[],[f72175,f68941]) ).
thf(f72178,plain,
( ~ spl0_688
| ~ spl0_1187
| ~ spl0_1190 ),
inference(avatar_contradiction_clause,[],[f72177]) ).
thf(f72215,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_626
| ~ spl0_1233 ),
inference(constrained_superposition,[],[f20365,f67257]) ).
thf(f72221,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_626
| ~ spl0_1233 ),
inference(trivial_inequality_removal,[],[f72215]) ).
thf(f72224,plain,
( $false
| ~ spl0_626
| ~ spl0_761
| ~ spl0_1233 ),
inference(forward_subsumption_resolution,[],[f72221,f31515]) ).
thf(f72225,plain,
( ~ spl0_626
| ~ spl0_761
| ~ spl0_1233 ),
inference(avatar_contradiction_clause,[],[f72224]) ).
thf(f72227,plain,
( ~ spl0_513
| spl0_1190
| ~ spl0_18
| ~ spl0_761 ),
inference(avatar_split_clause,[],[f71921,f31514,f234,f56036,f13064]) ).
thf(f72235,plain,
( ~ spl0_62
| spl0_1087
| ~ spl0_509 ),
inference(avatar_split_clause,[],[f50105,f13045,f47243,f1208]) ).
thf(f72308,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_2
| spl0_1089 ),
inference(constrained_superposition,[],[f47800,f51174]) ).
thf(f72309,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_2
| spl0_1089 ),
inference(trivial_inequality_removal,[],[f72308]) ).
thf(f72310,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_2
| spl0_1089 ),
inference(forward_subsumption_resolution,[],[f72309,f31]) ).
thf(f72314,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_2
| spl0_622
| spl0_1089 ),
inference(forward_subsumption_resolution,[],[f72310,f21167]) ).
thf(f72315,plain,
( spl0_3
| ~ spl0_2
| spl0_622
| spl0_1089 ),
inference(avatar_split_clause,[],[f72314,f47346,f20349,f53,f111]) ).
thf(f72357,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_31
| ~ spl0_48 ),
inference(constrained_superposition,[],[f670,f411]) ).
thf(f72362,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_31
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f72357]) ).
thf(f72364,plain,
( $false
| ~ spl0_3
| ~ spl0_31
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f72362,f112]) ).
thf(f72365,plain,
( ~ spl0_3
| ~ spl0_31
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f72364]) ).
thf(f72366,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_625 ),
inference(constrained_superposition,[],[f298,f20361]) ).
thf(f72368,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_625 ),
inference(duplicate_literal_removal,[],[f72366]) ).
thf(f72369,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_625 ),
inference(trivial_inequality_removal,[],[f72368]) ).
thf(f72390,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_1099 ),
inference(constrained_superposition,[],[f49808,f35]) ).
thf(f72400,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_1099 ),
inference(trivial_inequality_removal,[],[f72390]) ).
thf(f72446,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_669
| ~ spl0_1234 ),
inference(constrained_superposition,[],[f24206,f67260]) ).
thf(f72450,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_669
| ~ spl0_1234 ),
inference(trivial_inequality_removal,[],[f72446]) ).
thf(f72459,plain,
( ~ spl0_1270
| ~ spl0_669
| ~ spl0_1234 ),
inference(avatar_split_clause,[],[f72450,f67259,f24205,f69110]) ).
thf(f72467,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_1256 ),
inference(constrained_superposition,[],[f48687,f68366]) ).
thf(f72471,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_43
| ~ spl0_1256 ),
inference(constrained_superposition,[],[f577,f68366]) ).
thf(f72481,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_43
| ~ spl0_1256 ),
inference(trivial_inequality_removal,[],[f72471]) ).
thf(f72487,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_14
| ~ spl0_1256 ),
inference(trivial_inequality_removal,[],[f72467]) ).
thf(f72492,plain,
( ~ spl0_1195
| ~ spl0_43
| ~ spl0_1256 ),
inference(avatar_split_clause,[],[f72481,f68365,f576,f56195]) ).
thf(f72500,plain,
( ~ spl0_61
| spl0_1190
| ~ spl0_62
| ~ spl0_14
| ~ spl0_1256 ),
inference(avatar_split_clause,[],[f72487,f68365,f198,f1208,f56036,f1204]) ).
thf(f72502,plain,
( ~ spl0_34
| spl0_637
| ~ spl0_1099 ),
inference(avatar_split_clause,[],[f72400,f49807,f21201,f448]) ).
thf(f72560,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_511 ),
inference(constrained_superposition,[],[f13111,f29]) ).
thf(f72561,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_511 ),
inference(trivial_inequality_removal,[],[f72560]) ).
thf(f72563,plain,
( spl0_613
| spl0_612
| spl0_511 ),
inference(avatar_split_clause,[],[f72561,f13055,f19849,f19852]) ).
thf(f72619,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_14
| ~ spl0_614 ),
inference(constrained_superposition,[],[f48687,f20065]) ).
thf(f72633,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_14
| ~ spl0_614 ),
inference(trivial_inequality_removal,[],[f72619]) ).
thf(f72645,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_14
| ~ spl0_614
| spl0_1087 ),
inference(forward_subsumption_resolution,[],[f72633,f47798]) ).
thf(f72646,plain,
( ~ spl0_627
| ~ spl0_666
| ~ spl0_14
| ~ spl0_614
| spl0_1087 ),
inference(avatar_split_clause,[],[f72645,f47243,f20064,f198,f23705,f20368]) ).
thf(f72647,plain,
( spl0_669
| spl0_630
| ~ spl0_625 ),
inference(avatar_split_clause,[],[f72369,f20360,f20406,f24205]) ).
thf(f72714,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_632 ),
inference(constrained_superposition,[],[f44147,f77]) ).
thf(f72716,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_632 ),
inference(trivial_inequality_removal,[],[f72714]) ).
thf(f72718,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_632 ),
inference(forward_subsumption_resolution,[],[f72716,f31]) ).
thf(f72726,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| spl0_632 ),
inference(constrained_superposition,[],[f108,f72718]) ).
thf(f72736,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| spl0_632 ),
inference(trivial_inequality_removal,[],[f72726]) ).
thf(f72748,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_632
| spl0_1087 ),
inference(forward_subsumption_resolution,[],[f72736,f47798]) ).
thf(f72749,plain,
( spl0_21
| spl0_632
| spl0_1087 ),
inference(avatar_split_clause,[],[f72748,f47243,f20545,f338]) ).
thf(f72756,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_630 ),
inference(constrained_superposition,[],[f182,f20407]) ).
thf(f72769,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_630 ),
inference(trivial_inequality_removal,[],[f72756]) ).
thf(f72815,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_760
| ~ spl0_1183 ),
inference(constrained_superposition,[],[f55030,f55993]) ).
thf(f72820,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_760
| ~ spl0_1183 ),
inference(trivial_inequality_removal,[],[f72815]) ).
thf(f72824,plain,
( $false
| ~ spl0_760
| ~ spl0_1183
| ~ spl0_1192 ),
inference(forward_subsumption_resolution,[],[f72820,f56072]) ).
thf(f72825,plain,
( ~ spl0_760
| ~ spl0_1183
| ~ spl0_1192 ),
inference(avatar_contradiction_clause,[],[f72824]) ).
thf(f72826,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_647 ),
inference(constrained_superposition,[],[f298,f21940]) ).
thf(f72829,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_647 ),
inference(trivial_inequality_removal,[],[f72826]) ).
thf(f72830,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| spl0_511
| ~ spl0_647 ),
inference(forward_subsumption_resolution,[],[f72829,f13111]) ).
thf(f72831,plain,
( spl0_649
| spl0_511
| ~ spl0_647 ),
inference(avatar_split_clause,[],[f72830,f21939,f13055,f21976]) ).
thf(f72847,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_2
| spl0_1270 ),
inference(constrained_superposition,[],[f70996,f51174]) ).
thf(f72849,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| spl0_1270 ),
inference(trivial_inequality_removal,[],[f72847]) ).
thf(f72862,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_18
| ~ spl0_1188 ),
inference(constrained_superposition,[],[f69330,f56000]) ).
thf(f72879,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_18
| ~ spl0_1188 ),
inference(trivial_inequality_removal,[],[f72862]) ).
thf(f72887,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_18
| spl0_1087
| ~ spl0_1188 ),
inference(forward_subsumption_resolution,[],[f72879,f47798]) ).
thf(f72888,plain,
( ~ spl0_1269
| ~ spl0_18
| spl0_1087
| ~ spl0_1188 ),
inference(avatar_split_clause,[],[f72887,f55999,f47243,f234,f69102]) ).
thf(f72929,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_614
| ~ spl0_1102 ),
inference(constrained_superposition,[],[f50700,f20065]) ).
thf(f72932,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_614
| ~ spl0_1102 ),
inference(trivial_inequality_removal,[],[f72929]) ).
thf(f72937,plain,
( $false
| ~ spl0_513
| ~ spl0_614
| ~ spl0_1102 ),
inference(forward_subsumption_resolution,[],[f72932,f54127]) ).
thf(f72938,plain,
( ~ spl0_513
| ~ spl0_614
| ~ spl0_1102 ),
inference(avatar_contradiction_clause,[],[f72937]) ).
thf(f72948,plain,
( spl0_648
| spl0_46
| ~ spl0_630 ),
inference(avatar_split_clause,[],[f72769,f20406,f652,f21942]) ).
thf(f73002,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_62
| ~ spl0_80 ),
inference(constrained_superposition,[],[f2507,f14944]) ).
thf(f73013,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_62
| ~ spl0_80 ),
inference(trivial_inequality_removal,[],[f73002]) ).
thf(f73066,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_666 ),
inference(constrained_superposition,[],[f23706,f29]) ).
thf(f73068,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_666 ),
inference(trivial_inequality_removal,[],[f73066]) ).
thf(f73070,plain,
( spl0_659
| spl0_660
| spl0_666 ),
inference(avatar_split_clause,[],[f73068,f23705,f22885,f22882]) ).
thf(f73074,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_659 ),
inference(constrained_superposition,[],[f32,f22883]) ).
thf(f73075,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_659 ),
inference(trivial_inequality_removal,[],[f73074]) ).
thf(f73174,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_761
| ~ spl0_1080 ),
inference(constrained_superposition,[],[f45045,f31515]) ).
thf(f73194,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_761
| ~ spl0_1080 ),
inference(trivial_inequality_removal,[],[f73174]) ).
thf(f73202,plain,
( ~ spl0_764
| ~ spl0_761
| ~ spl0_1080 ),
inference(avatar_split_clause,[],[f73194,f45044,f31514,f31558]) ).
thf(f73304,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_1083 ),
inference(constrained_superposition,[],[f46577,f35]) ).
thf(f73312,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_1083 ),
inference(trivial_inequality_removal,[],[f73304]) ).
thf(f73353,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_1189
| ~ spl0_1234 ),
inference(constrained_superposition,[],[f56034,f67260]) ).
thf(f73361,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_1189
| ~ spl0_1234 ),
inference(trivial_inequality_removal,[],[f73353]) ).
thf(f73366,plain,
( $false
| ~ spl0_1089
| ~ spl0_1189
| ~ spl0_1234 ),
inference(forward_subsumption_resolution,[],[f73361,f47347]) ).
thf(f73367,plain,
( ~ spl0_1089
| ~ spl0_1189
| ~ spl0_1234 ),
inference(avatar_contradiction_clause,[],[f73366]) ).
thf(f73430,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_9
| ~ spl0_513 ),
inference(constrained_superposition,[],[f156,f54127]) ).
thf(f73431,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_9
| ~ spl0_513 ),
inference(trivial_inequality_removal,[],[f73430]) ).
thf(f73439,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_96
| ~ spl0_1190 ),
inference(constrained_superposition,[],[f4244,f68941]) ).
thf(f73443,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_96
| ~ spl0_1190 ),
inference(trivial_inequality_removal,[],[f73439]) ).
thf(f73533,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f199,f35]) ).
thf(f73535,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f199,f75]) ).
thf(f73538,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f73535]) ).
thf(f73539,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f73533]) ).
thf(f73750,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_659
| ~ spl0_1234 ),
inference(constrained_superposition,[],[f73075,f67260]) ).
thf(f73756,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_659
| ~ spl0_1234 ),
inference(trivial_inequality_removal,[],[f73750]) ).
thf(f73762,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_659
| ~ spl0_1190
| ~ spl0_1234 ),
inference(forward_subsumption_resolution,[],[f73756,f68941]) ).
thf(f73765,plain,
( spl0_1189
| ~ spl0_659
| ~ spl0_1190
| ~ spl0_1234 ),
inference(avatar_split_clause,[],[f73762,f67259,f56036,f22882,f56033]) ).
thf(f73767,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| spl0_1192 ),
inference(avatar_component_clause,[],[f56071]) ).
thf(f73770,definition,
( spl0_1311
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1311])],[avatar_definition]) ).
thf(f73771,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_1311 ),
inference(avatar_component_clause,[],[f73770]) ).
thf(f73772,plain,
( ~ spl0_1192
| spl0_1311
| ~ spl0_96
| ~ spl0_1190 ),
inference(avatar_split_clause,[],[f73443,f56036,f4243,f73770,f56071]) ).
thf(f73783,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_1097 ),
inference(constrained_superposition,[],[f48407,f286]) ).
thf(f73787,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_1097 ),
inference(trivial_inequality_removal,[],[f73783]) ).
thf(f73827,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_1271 ),
inference(constrained_superposition,[],[f286,f69115]) ).
thf(f73903,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_1271 ),
inference(forward_subsumption_resolution,[],[f73827,f27]) ).
thf(f73921,plain,
( $false
| ~ spl0_1271 ),
inference(forward_subsumption_resolution,[],[f73903,f26]) ).
thf(f73922,plain,
~ spl0_1271,
inference(avatar_contradiction_clause,[],[f73921]) ).
thf(f73932,plain,
( ~ spl0_70
| ~ spl0_61
| ~ spl0_62
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f73013,f2506,f1208,f1204,f1452]) ).
thf(f73934,plain,
( spl0_660
| spl0_26
| spl0_1192
| ~ spl0_2
| spl0_1270 ),
inference(avatar_split_clause,[],[f72849,f69110,f53,f56071,f357,f22885]) ).
thf(f73936,plain,
( ~ spl0_61
| spl0_625
| ~ spl0_1097 ),
inference(avatar_split_clause,[],[f73787,f48406,f20360,f1204]) ).
thf(f73939,plain,
( ~ spl0_70
| spl0_634
| ~ spl0_1083 ),
inference(avatar_split_clause,[],[f73312,f46576,f21105,f1452]) ).
thf(f73949,plain,
( ~ spl0_664
| spl0_1080
| ~ spl0_9
| ~ spl0_513 ),
inference(avatar_split_clause,[],[f73431,f13064,f155,f45044,f23570]) ).
thf(f74018,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_644
| ~ spl0_1111 ),
inference(constrained_superposition,[],[f21927,f70995]) ).
thf(f74023,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_1089
| ~ spl0_1111 ),
inference(constrained_superposition,[],[f47347,f70995]) ).
thf(f74100,plain,
( $false
| spl0_1087
| ~ spl0_1089
| ~ spl0_1111 ),
inference(forward_subsumption_resolution,[],[f74023,f47798]) ).
thf(f74101,plain,
( spl0_1087
| ~ spl0_1089
| ~ spl0_1111 ),
inference(avatar_contradiction_clause,[],[f74100]) ).
thf(f74109,plain,
( $false
| ~ spl0_513
| spl0_644
| ~ spl0_1111 ),
inference(forward_subsumption_resolution,[],[f74018,f54127]) ).
thf(f74110,plain,
( ~ spl0_513
| spl0_644
| ~ spl0_1111 ),
inference(avatar_contradiction_clause,[],[f74109]) ).
thf(f74114,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_2
| spl0_1111 ),
inference(extensionality_resolution,[],[f51174,f52917]) ).
thf(f74120,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_1111 ),
inference(extensionality_resolution,[],[f37,f52917]) ).
thf(f74121,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_1111 ),
inference(extensionality_resolution,[],[f29,f52917]) ).
thf(f74126,plain,
( spl0_1233
| spl0_1234
| spl0_1111 ),
inference(avatar_split_clause,[],[f74120,f52916,f67259,f67256]) ).
thf(f74127,plain,
( spl0_617
| spl0_616
| spl0_1111 ),
inference(avatar_split_clause,[],[f74121,f52916,f20071,f20074]) ).
thf(f74128,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_2
| spl0_622
| spl0_1111 ),
inference(forward_subsumption_resolution,[],[f74114,f21167]) ).
thf(f74129,plain,
( spl0_1192
| spl0_1234
| ~ spl0_2
| spl0_622
| spl0_1111 ),
inference(avatar_split_clause,[],[f74128,f52916,f20349,f53,f67259,f56071]) ).
thf(f74148,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f520,f76]) ).
thf(f74152,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f74148]) ).
thf(f74196,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true ) )
| ~ spl0_614
| ~ spl0_623 ),
inference(constrained_superposition,[],[f20353,f20065]) ).
thf(f74232,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_614
| ~ spl0_623 ),
inference(trivial_inequality_removal,[],[f74196]) ).
thf(f74236,plain,
( ~ spl0_627
| spl0_626
| ~ spl0_614
| ~ spl0_623 ),
inference(avatar_split_clause,[],[f74232,f20352,f20064,f20364,f20368]) ).
thf(f74238,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_14
| ~ spl0_616 ),
inference(constrained_superposition,[],[f73538,f20072]) ).
thf(f74239,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_18
| ~ spl0_616 ),
inference(constrained_superposition,[],[f69330,f20072]) ).
thf(f74244,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_616 ),
inference(constrained_superposition,[],[f182,f20072]) ).
thf(f74245,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_77
| ~ spl0_616 ),
inference(constrained_superposition,[],[f1821,f20072]) ).
thf(f74251,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_77
| ~ spl0_616 ),
inference(trivial_inequality_removal,[],[f74245]) ).
thf(f74252,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_18
| ~ spl0_616 ),
inference(trivial_inequality_removal,[],[f74239]) ).
thf(f74254,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_616 ),
inference(trivial_inequality_removal,[],[f74244]) ).
thf(f74255,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_14
| ~ spl0_616 ),
inference(trivial_inequality_removal,[],[f74238]) ).
thf(f74313,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_700
| ~ spl0_760 ),
inference(constrained_superposition,[],[f25743,f55993]) ).
thf(f74318,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_700
| ~ spl0_760 ),
inference(trivial_inequality_removal,[],[f74313]) ).
thf(f74371,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_1190
| ~ spl0_1311 ),
inference(constrained_superposition,[],[f73771,f68941]) ).
thf(f74374,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_760
| ~ spl0_1311 ),
inference(constrained_superposition,[],[f73771,f55993]) ).
thf(f74378,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_1190
| ~ spl0_1311 ),
inference(trivial_inequality_removal,[],[f74371]) ).
thf(f74379,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_760
| ~ spl0_1311 ),
inference(trivial_inequality_removal,[],[f74374]) ).
thf(f74383,plain,
( $false
| ~ spl0_3
| ~ spl0_1190
| ~ spl0_1311 ),
inference(forward_subsumption_resolution,[],[f74378,f112]) ).
thf(f74384,plain,
( ~ spl0_3
| ~ spl0_1190
| ~ spl0_1311 ),
inference(avatar_contradiction_clause,[],[f74383]) ).
thf(f74385,plain,
( $false
| ~ spl0_507
| ~ spl0_760
| ~ spl0_1311 ),
inference(forward_subsumption_resolution,[],[f74379,f13039]) ).
thf(f74386,plain,
( ~ spl0_507
| ~ spl0_760
| ~ spl0_1311 ),
inference(avatar_contradiction_clause,[],[f74385]) ).
thf(f74391,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_77
| ~ spl0_616
| spl0_1087 ),
inference(forward_subsumption_resolution,[],[f74251,f47798]) ).
thf(f74392,plain,
( ~ spl0_1270
| ~ spl0_700
| ~ spl0_760 ),
inference(avatar_split_clause,[],[f74318,f31471,f25742,f69110]) ).
thf(f74394,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_18
| ~ spl0_513
| ~ spl0_616 ),
inference(forward_subsumption_resolution,[],[f74252,f54127]) ).
thf(f74395,plain,
( ~ spl0_644
| ~ spl0_77
| ~ spl0_616
| spl0_1087 ),
inference(avatar_split_clause,[],[f74391,f47243,f20071,f1820,f21926]) ).
thf(f74396,plain,
( spl0_1089
| ~ spl0_18
| ~ spl0_513
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f74394,f20071,f13064,f234,f47346]) ).
thf(f74401,plain,
( spl0_80
| spl0_5
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f73539,f198,f118,f2506]) ).
thf(f74402,plain,
( spl0_647
| spl0_648
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f74254,f20071,f21942,f21939]) ).
thf(f74455,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_644 ),
inference(constrained_superposition,[],[f21927,f29]) ).
thf(f74456,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_644 ),
inference(trivial_inequality_removal,[],[f74455]) ).
thf(f74459,plain,
( spl0_660
| spl0_1089
| spl0_644 ),
inference(avatar_split_clause,[],[f74456,f21926,f47346,f22885]) ).
thf(f74466,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_632 ),
inference(constrained_superposition,[],[f44147,f77]) ).
thf(f74468,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ z ) )
| spl0_632 ),
inference(trivial_inequality_removal,[],[f74466]) ).
thf(f74470,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_632 ),
inference(forward_subsumption_resolution,[],[f74468,f31]) ).
thf(f74501,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f577,f76]) ).
thf(f74506,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f74501]) ).
thf(f74517,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_614 ),
inference(constrained_superposition,[],[f108,f20065]) ).
thf(f74518,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_614 ),
inference(constrained_superposition,[],[f182,f20065]) ).
thf(f74521,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_614 ),
inference(constrained_superposition,[],[f43,f20065]) ).
thf(f74525,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_614 ),
inference(trivial_inequality_removal,[],[f74521]) ).
thf(f74526,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_614 ),
inference(trivial_inequality_removal,[],[f74517]) ).
thf(f74534,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_614 ),
inference(trivial_inequality_removal,[],[f74518]) ).
thf(f74539,plain,
( spl0_634
| spl0_633
| ~ spl0_614 ),
inference(avatar_split_clause,[],[f74525,f20064,f21102,f21105]) ).
thf(f74664,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_1090 ),
inference(constrained_superposition,[],[f47803,f285]) ).
thf(f74667,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_1090 ),
inference(trivial_inequality_removal,[],[f74664]) ).
thf(f74724,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| spl0_632
| ~ spl0_667 ),
inference(constrained_superposition,[],[f23832,f74470]) ).
thf(f74736,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_632
| ~ spl0_667 ),
inference(trivial_inequality_removal,[],[f74724]) ).
thf(f74739,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_70
| spl0_632
| ~ spl0_667 ),
inference(forward_subsumption_resolution,[],[f74736,f17230]) ).
thf(f74741,plain,
( ~ spl0_61
| ~ spl0_70
| spl0_632
| ~ spl0_667 ),
inference(avatar_split_clause,[],[f74739,f23831,f20545,f1452,f1204]) ).
thf(f74743,plain,
( ~ spl0_8
| spl0_46
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f74152,f519,f652,f128]) ).
thf(f74746,plain,
( spl0_630
| ~ spl0_31
| ~ spl0_1090 ),
inference(avatar_split_clause,[],[f74667,f47802,f410,f20406]) ).
thf(f74748,plain,
( spl0_46
| ~ spl0_34
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f74506,f576,f448,f652]) ).
thf(f74920,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_1269 ),
inference(constrained_superposition,[],[f69103,f29]) ).
thf(f74923,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_1269 ),
inference(trivial_inequality_removal,[],[f74920]) ).
thf(f74925,plain,
( spl0_984
| spl0_1190
| spl0_1269 ),
inference(avatar_split_clause,[],[f74923,f69102,f56036,f41460]) ).
thf(f75044,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f235,f35]) ).
thf(f75052,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( r @ z @ ( s @ z ) )
= $true ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f75044]) ).
thf(f75110,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_1083
| ~ spl0_1233 ),
inference(constrained_superposition,[],[f46577,f67257]) ).
thf(f75117,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_1083
| ~ spl0_1233 ),
inference(trivial_inequality_removal,[],[f75110]) ).
thf(f75120,plain,
( $false
| ~ spl0_1083
| ~ spl0_1233
| ~ spl0_1256 ),
inference(forward_subsumption_resolution,[],[f75117,f68366]) ).
thf(f75121,plain,
( ~ spl0_1083
| ~ spl0_1233
| ~ spl0_1256 ),
inference(avatar_contradiction_clause,[],[f75120]) ).
thf(f75123,plain,
( spl0_659
| spl0_661
| ~ spl0_614 ),
inference(avatar_split_clause,[],[f74534,f20064,f23460,f22882]) ).
thf(f75124,plain,
( spl0_705
| spl0_1089
| ~ spl0_614 ),
inference(avatar_split_clause,[],[f74526,f20064,f47346,f25789]) ).
thf(f75127,plain,
( ~ spl0_526
| ~ spl0_662
| spl0_1089
| ~ spl0_14
| ~ spl0_616 ),
inference(avatar_split_clause,[],[f74255,f20071,f198,f47346,f23464,f13145]) ).
thf(f75128,plain,
( spl0_68
| spl0_5
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f75052,f234,f118,f1302]) ).
thf(f75236,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_630 ),
inference(constrained_superposition,[],[f21270,f29]) ).
thf(f75237,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_630 ),
inference(trivial_inequality_removal,[],[f75236]) ).
thf(f75239,plain,
( spl0_635
| spl0_640
| spl0_630 ),
inference(avatar_split_clause,[],[f75237,f20406,f21286,f21165]) ).
thf(f75294,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| spl0_760 ),
inference(constrained_superposition,[],[f31472,f51174]) ).
thf(f75296,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| spl0_760 ),
inference(trivial_inequality_removal,[],[f75294]) ).
thf(f75298,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| spl0_507
| spl0_760 ),
inference(forward_subsumption_resolution,[],[f75296,f44450]) ).
thf(f75299,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| spl0_507
| spl0_760
| spl0_1192 ),
inference(forward_subsumption_resolution,[],[f75298,f73767]) ).
thf(f75300,plain,
( spl0_640
| ~ spl0_2
| spl0_507
| spl0_760
| spl0_1192 ),
inference(avatar_split_clause,[],[f75299,f56071,f31471,f13038,f53,f21286]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f55]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f116]) ).
cnf(s6,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f160]) ).
cnf(s7,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f193]) ).
cnf(s8,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f200]) ).
cnf(s10,plain,
( spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f236]) ).
cnf(s11,plain,
( spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f336]) ).
cnf(s22,plain,
( ~ spl0_18
| spl0_31
| spl0_35 ),
inference(sat_conversion,[],[f454]) ).
cnf(s30,plain,
( spl0_41
| spl0_42 ),
inference(sat_conversion,[],[f566]) ).
cnf(s33,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38 ),
inference(sat_conversion,[],[f621]) ).
cnf(s38,plain,
( ~ spl0_5
| ~ spl0_26
| ~ spl0_31
| spl0_48 ),
inference(sat_conversion,[],[f671]) ).
cnf(s44,plain,
( ~ spl0_13
| spl0_26
| spl0_46 ),
inference(sat_conversion,[],[f801]) ).
cnf(s47,plain,
( ~ spl0_11
| spl0_31
| spl0_46 ),
inference(sat_conversion,[],[f889]) ).
cnf(s48,plain,
( ~ spl0_18
| spl0_31
| spl0_56
| spl0_57 ),
inference(sat_conversion,[],[f1024]) ).
cnf(s49,plain,
( ~ spl0_17
| spl0_46 ),
inference(sat_conversion,[],[f1035]) ).
cnf(s50,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_38
| spl0_53 ),
inference(sat_conversion,[],[f1041]) ).
cnf(s55,plain,
( spl0_22
| ~ spl0_35 ),
inference(sat_conversion,[],[f1132]) ).
cnf(s64,plain,
( spl0_26
| spl0_61 ),
inference(sat_conversion,[],[f1227]) ).
cnf(s70,plain,
( spl0_5
| spl0_34 ),
inference(sat_conversion,[],[f1255]) ).
cnf(s75,plain,
( spl0_31
| spl0_56
| spl0_59 ),
inference(sat_conversion,[],[f1305]) ).
cnf(s76,plain,
( spl0_31
| spl0_59 ),
inference(sat_conversion,[],[f1306]) ).
cnf(s78,plain,
( ~ spl0_17
| spl0_65 ),
inference(sat_conversion,[],[f1351]) ).
cnf(s79,plain,
( ~ spl0_26
| spl0_40 ),
inference(sat_conversion,[],[f1360]) ).
cnf(s81,plain,
( ~ spl0_3
| ~ spl0_17
| spl0_30
| spl0_31
| ~ spl0_40 ),
inference(sat_conversion,[],[f1406]) ).
cnf(s82,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_40
| ~ spl0_43
| spl0_54 ),
inference(sat_conversion,[],[f1420]) ).
cnf(s86,plain,
( spl0_38
| spl0_70 ),
inference(sat_conversion,[],[f1460]) ).
cnf(s88,plain,
( ~ spl0_3
| ~ spl0_17
| spl0_53
| ~ spl0_54 ),
inference(sat_conversion,[],[f1479]) ).
cnf(s89,plain,
( ~ spl0_26
| ~ spl0_46
| ~ spl0_53 ),
inference(sat_conversion,[],[f1487]) ).
cnf(s90,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_42
| ~ spl0_50 ),
inference(sat_conversion,[],[f1542]) ).
cnf(s92,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_30
| ~ spl0_40
| ~ spl0_59
| spl0_60 ),
inference(sat_conversion,[],[f1570]) ).
cnf(s93,plain,
( spl0_54
| ~ spl0_60
| ~ spl0_70 ),
inference(sat_conversion,[],[f1581]) ).
cnf(s94,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f1582]) ).
cnf(s97,plain,
( ~ spl0_8
| spl0_38
| ~ spl0_45 ),
inference(sat_conversion,[],[f1592]) ).
cnf(s103,plain,
( ~ spl0_17
| ~ spl0_49
| spl0_71 ),
inference(sat_conversion,[],[f1643]) ).
cnf(s108,plain,
( ~ spl0_17
| spl0_31
| ~ spl0_49
| ~ spl0_59
| spl0_76 ),
inference(sat_conversion,[],[f1749]) ).
cnf(s110,plain,
( spl0_31
| spl0_63
| ~ spl0_71
| ~ spl0_77 ),
inference(sat_conversion,[],[f1852]) ).
cnf(s133,plain,
( ~ spl0_10
| spl0_31
| spl0_38 ),
inference(sat_conversion,[],[f2533]) ).
cnf(s134,plain,
( ~ spl0_26
| ~ spl0_38
| spl0_52 ),
inference(sat_conversion,[],[f2566]) ).
cnf(s142,plain,
( ~ spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f2869]) ).
cnf(s846,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_26
| ~ spl0_38
| ~ spl0_41
| ~ spl0_52
| ~ spl0_63
| ~ spl0_73
| spl0_338
| spl0_432 ),
inference(sat_conversion,[],[f11089]) ).
cnf(s1053,plain,
( ~ spl0_338
| spl0_488 ),
inference(sat_conversion,[],[f13159]) ).
cnf(s1352,plain,
( ~ spl0_41
| spl0_45
| ~ spl0_62 ),
inference(sat_conversion,[],[f15136]) ).
cnf(s1353,plain,
( spl0_12
| spl0_31
| ~ spl0_62 ),
inference(sat_conversion,[],[f15137]) ).
cnf(s1367,plain,
( ~ spl0_46
| spl0_366
| ~ spl0_488 ),
inference(sat_conversion,[],[f16233]) ).
cnf(s1488,plain,
~ spl0_576,
inference(sat_conversion,[],[f16741]) ).
cnf(s1517,plain,
( ~ spl0_52
| ~ spl0_507
| spl0_511 ),
inference(sat_conversion,[],[f16798]) ).
cnf(s1518,plain,
( ~ spl0_26
| ~ spl0_38
| ~ spl0_507
| spl0_511 ),
inference(sat_conversion,[],[f16799]) ).
cnf(s1828,plain,
( spl0_3
| ~ spl0_194 ),
inference(sat_conversion,[],[f18388]) ).
cnf(s1939,plain,
( ~ spl0_17
| ~ spl0_63
| ~ spl0_71
| ~ spl0_76
| spl0_296 ),
inference(sat_conversion,[],[f19053]) ).
cnf(s2040,plain,
( ~ spl0_26
| spl0_194
| ~ spl0_296 ),
inference(sat_conversion,[],[f19643]) ).
cnf(s2165,plain,
( ~ spl0_5
| ~ spl0_46
| ~ spl0_74 ),
inference(sat_conversion,[],[f19720]) ).
cnf(s2167,plain,
( ~ spl0_5
| ~ spl0_17
| ~ spl0_74 ),
inference(sat_conversion,[],[f19722]) ).
cnf(s2172,plain,
( ~ spl0_1
| ~ spl0_17
| spl0_71 ),
inference(sat_conversion,[],[f19758]) ).
cnf(s2174,plain,
( ~ spl0_5
| spl0_96 ),
inference(sat_conversion,[],[f19765]) ).
cnf(s2214,plain,
~ spl0_56,
inference(sat_conversion,[],[f20049]) ).
cnf(s2221,plain,
( spl0_56
| spl0_614
| spl0_615 ),
inference(sat_conversion,[],[f20069]) ).
cnf(s2222,plain,
( spl0_56
| spl0_616
| spl0_617 ),
inference(sat_conversion,[],[f20076]) ).
cnf(s2242,plain,
~ spl0_613,
inference(sat_conversion,[],[f20264]) ).
cnf(s2244,plain,
( spl0_3
| spl0_20
| ~ spl0_59 ),
inference(sat_conversion,[],[f20275]) ).
cnf(s2258,plain,
( ~ spl0_52
| ~ spl0_622
| spl0_630 ),
inference(sat_conversion,[],[f20426]) ).
cnf(s2262,plain,
( spl0_507
| spl0_526 ),
inference(sat_conversion,[],[f20437]) ).
cnf(s2266,plain,
( spl0_622
| spl0_627 ),
inference(sat_conversion,[],[f20451]) ).
cnf(s2277,plain,
( spl0_624
| spl0_632 ),
inference(sat_conversion,[],[f20549]) ).
cnf(s2358,plain,
( ~ spl0_17
| spl0_511
| ~ spl0_632 ),
inference(sat_conversion,[],[f21269]) ).
cnf(s2373,plain,
( ~ spl0_4
| spl0_31
| spl0_642 ),
inference(sat_conversion,[],[f21362]) ).
cnf(s2378,plain,
( spl0_5
| spl0_38
| ~ spl0_57 ),
inference(sat_conversion,[],[f21368]) ).
cnf(s2403,plain,
~ spl0_639,
inference(sat_conversion,[],[f21538]) ).
cnf(s2411,plain,
( ~ spl0_31
| spl0_89 ),
inference(sat_conversion,[],[f21551]) ).
cnf(s2417,plain,
~ spl0_640,
inference(sat_conversion,[],[f21677]) ).
cnf(s2427,plain,
( ~ spl0_43
| ~ spl0_511
| spl0_637 ),
inference(sat_conversion,[],[f21739]) ).
cnf(s2430,plain,
( ~ spl0_43
| ~ spl0_630
| spl0_634 ),
inference(sat_conversion,[],[f21785]) ).
cnf(s2433,plain,
( ~ spl0_41
| spl0_509
| ~ spl0_511 ),
inference(sat_conversion,[],[f21838]) ).
cnf(s2434,plain,
( ~ spl0_509
| ~ spl0_614
| ~ spl0_630 ),
inference(sat_conversion,[],[f21856]) ).
cnf(s2440,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_31
| ~ spl0_42
| spl0_50 ),
inference(sat_conversion,[],[f21923]) ).
cnf(s2442,plain,
( spl0_31
| ~ spl0_77
| ~ spl0_630
| ~ spl0_644 ),
inference(sat_conversion,[],[f21928]) ).
cnf(s2510,plain,
( ~ spl0_18
| spl0_465 ),
inference(sat_conversion,[],[f22476]) ).
cnf(s2515,plain,
( ~ spl0_1
| ~ spl0_649 ),
inference(sat_conversion,[],[f22639]) ).
cnf(s2516,plain,
( ~ spl0_1
| ~ spl0_46
| spl0_79 ),
inference(sat_conversion,[],[f22662]) ).
cnf(s2517,plain,
( spl0_46
| spl0_62 ),
inference(sat_conversion,[],[f22663]) ).
cnf(s2521,plain,
( spl0_46
| spl0_56
| spl0_62 ),
inference(sat_conversion,[],[f22672]) ).
cnf(s2530,plain,
( ~ spl0_45
| ~ spl0_71
| spl0_658 ),
inference(sat_conversion,[],[f22759]) ).
cnf(s2532,plain,
( ~ spl0_1
| ~ spl0_63
| ~ spl0_79 ),
inference(sat_conversion,[],[f22781]) ).
cnf(s2534,plain,
( ~ spl0_1
| ~ spl0_26
| spl0_52 ),
inference(sat_conversion,[],[f22783]) ).
cnf(s2539,plain,
( ~ spl0_45
| ~ spl0_511
| spl0_639
| spl0_647 ),
inference(sat_conversion,[],[f22855]) ).
cnf(s2544,plain,
( ~ spl0_45
| ~ spl0_630
| spl0_659 ),
inference(sat_conversion,[],[f22888]) ).
cnf(s2593,plain,
( ~ spl0_1
| spl0_74
| ~ spl0_89 ),
inference(sat_conversion,[],[f23361]) ).
cnf(s2594,plain,
( ~ spl0_1
| ~ spl0_74
| ~ spl0_612 ),
inference(sat_conversion,[],[f23374]) ).
cnf(s2595,plain,
( ~ spl0_1
| ~ spl0_74
| ~ spl0_635 ),
inference(sat_conversion,[],[f23376]) ).
cnf(s2596,plain,
( ~ spl0_1
| spl0_71
| ~ spl0_74 ),
inference(sat_conversion,[],[f23378]) ).
cnf(s2598,plain,
( ~ spl0_1
| ~ spl0_631 ),
inference(sat_conversion,[],[f23403]) ).
cnf(s2604,plain,
( spl0_507
| ~ spl0_616
| spl0_641 ),
inference(sat_conversion,[],[f23433]) ).
cnf(s2613,plain,
( spl0_647
| spl0_662 ),
inference(sat_conversion,[],[f23474]) ).
cnf(s2622,plain,
( ~ spl0_3
| spl0_85 ),
inference(sat_conversion,[],[f23510]) ).
cnf(s2643,plain,
( spl0_634
| spl0_665 ),
inference(sat_conversion,[],[f23753]) ).
cnf(s2644,plain,
( spl0_637
| spl0_664 ),
inference(sat_conversion,[],[f23755]) ).
cnf(s2658,plain,
( ~ spl0_3
| ~ spl0_26
| ~ spl0_38
| ~ spl0_46 ),
inference(sat_conversion,[],[f23932]) ).
cnf(s2662,plain,
( spl0_31
| ~ spl0_59
| ~ spl0_62
| ~ spl0_511
| spl0_647 ),
inference(sat_conversion,[],[f24066]) ).
cnf(s2671,plain,
( ~ spl0_39
| ~ spl0_511
| ~ spl0_526 ),
inference(sat_conversion,[],[f24162]) ).
cnf(s2672,plain,
( ~ spl0_39
| ~ spl0_627
| ~ spl0_630 ),
inference(sat_conversion,[],[f24163]) ).
cnf(s2674,plain,
( spl0_511
| ~ spl0_617
| spl0_631 ),
inference(sat_conversion,[],[f24165]) ).
cnf(s2683,plain,
( ~ spl0_612
| ~ spl0_615
| ~ spl0_669 ),
inference(sat_conversion,[],[f24229]) ).
cnf(s2687,plain,
( spl0_632
| ~ spl0_633
| spl0_670 ),
inference(sat_conversion,[],[f24386]) ).
cnf(s3278,plain,
( spl0_576
| ~ spl0_694 ),
inference(sat_conversion,[],[f29634]) ).
cnf(s3502,plain,
( ~ spl0_2
| ~ spl0_526
| ~ spl0_663
| ~ spl0_761 ),
inference(sat_conversion,[],[f31566]) ).
cnf(s3513,plain,
( ~ spl0_70
| spl0_637
| ~ spl0_683 ),
inference(sat_conversion,[],[f31699]) ).
cnf(s3514,plain,
( ~ spl0_62
| spl0_647
| ~ spl0_683 ),
inference(sat_conversion,[],[f31700]) ).
cnf(s3531,plain,
( ~ spl0_366
| spl0_694 ),
inference(sat_conversion,[],[f31887]) ).
cnf(s4751,plain,
( spl0_31
| ~ spl0_59
| ~ spl0_432
| spl0_694 ),
inference(sat_conversion,[],[f39945]) ).
cnf(s5057,plain,
( ~ spl0_615
| ~ spl0_617
| ~ spl0_634
| ~ spl0_637 ),
inference(sat_conversion,[],[f44204]) ).
cnf(s5062,plain,
( ~ spl0_615
| ~ spl0_617
| ~ spl0_634
| ~ spl0_637 ),
inference(sat_conversion,[],[f44215]) ).
cnf(s5070,plain,
( ~ spl0_20
| ~ spl0_526
| spl0_632
| spl0_683 ),
inference(sat_conversion,[],[f44281]) ).
cnf(s5071,plain,
( ~ spl0_14
| ~ spl0_59
| ~ spl0_526
| spl0_632
| ~ spl0_662 ),
inference(sat_conversion,[],[f44283]) ).
cnf(s5075,plain,
( ~ spl0_632
| spl0_704 ),
inference(sat_conversion,[],[f44308]) ).
cnf(s5077,plain,
( ~ spl0_617
| ~ spl0_635
| ~ spl0_700 ),
inference(sat_conversion,[],[f44328]) ).
cnf(s5092,plain,
( spl0_5
| ~ spl0_43
| spl0_46 ),
inference(sat_conversion,[],[f44367]) ).
cnf(s5094,plain,
( ~ spl0_40
| spl0_511
| ~ spl0_617
| ~ spl0_622
| ~ spl0_635 ),
inference(sat_conversion,[],[f44368]) ).
cnf(s5096,plain,
( ~ spl0_26
| ~ spl0_38
| spl0_691 ),
inference(sat_conversion,[],[f44375]) ).
cnf(s5097,plain,
( ~ spl0_38
| spl0_697 ),
inference(sat_conversion,[],[f44376]) ).
cnf(s5102,plain,
( spl0_20
| spl0_507
| spl0_632 ),
inference(sat_conversion,[],[f44454]) ).
cnf(s5103,plain,
( ~ spl0_40
| ~ spl0_507
| ~ spl0_612
| ~ spl0_615
| spl0_630 ),
inference(sat_conversion,[],[f44456]) ).
cnf(s5108,plain,
( ~ spl0_647
| spl0_696 ),
inference(sat_conversion,[],[f44481]) ).
cnf(s5115,plain,
( ~ spl0_625
| ~ spl0_635
| spl0_669 ),
inference(sat_conversion,[],[f44604]) ).
cnf(s5123,plain,
( ~ spl0_68
| spl0_105 ),
inference(sat_conversion,[],[f44662]) ).
cnf(s5124,plain,
( ~ spl0_68
| spl0_107 ),
inference(sat_conversion,[],[f44663]) ).
cnf(s5128,plain,
( spl0_10
| ~ spl0_68 ),
inference(sat_conversion,[],[f44709]) ).
cnf(s5130,plain,
( ~ spl0_38
| ~ spl0_634
| ~ spl0_669 ),
inference(sat_conversion,[],[f44736]) ).
cnf(s5140,plain,
( ~ spl0_3
| spl0_53
| ~ spl0_637
| ~ spl0_647 ),
inference(sat_conversion,[],[f44901]) ).
cnf(s5148,plain,
( ~ spl0_511
| ~ spl0_614
| spl0_625
| ~ spl0_627
| ~ spl0_642 ),
inference(sat_conversion,[],[f44927]) ).
cnf(s5155,plain,
( ~ spl0_616
| ~ spl0_627
| ~ spl0_1080 ),
inference(sat_conversion,[],[f45059]) ).
cnf(s5160,plain,
( spl0_511
| ~ spl0_632
| spl0_700 ),
inference(sat_conversion,[],[f45066]) ).
cnf(s5163,plain,
( ~ spl0_2
| spl0_507
| ~ spl0_614
| spl0_622 ),
inference(sat_conversion,[],[f45071]) ).
cnf(s5167,plain,
( ~ spl0_3
| spl0_53
| ~ spl0_634
| ~ spl0_659 ),
inference(sat_conversion,[],[f45128]) ).
cnf(s5175,plain,
( ~ spl0_53
| ~ spl0_622
| ~ spl0_659 ),
inference(sat_conversion,[],[f45232]) ).
cnf(s5179,plain,
( ~ spl0_526
| ~ spl0_616
| spl0_626
| ~ spl0_641 ),
inference(sat_conversion,[],[f45284]) ).
cnf(s5181,plain,
( ~ spl0_38
| ~ spl0_637
| ~ spl0_700 ),
inference(sat_conversion,[],[f45297]) ).
cnf(s5190,plain,
( ~ spl0_42
| spl0_847 ),
inference(sat_conversion,[],[f45361]) ).
cnf(s5225,plain,
( ~ spl0_616
| ~ spl0_630
| ~ spl0_683 ),
inference(sat_conversion,[],[f46411]) ).
cnf(s5228,plain,
( ~ spl0_42
| ~ spl0_48
| spl0_663 ),
inference(sat_conversion,[],[f46574]) ).
cnf(s5235,plain,
( ~ spl0_26
| ~ spl0_42
| spl0_48
| ~ spl0_634 ),
inference(sat_conversion,[],[f46588]) ).
cnf(s5236,plain,
( spl0_5
| ~ spl0_18
| spl0_26
| ~ spl0_59 ),
inference(sat_conversion,[],[f46590]) ).
cnf(s5237,plain,
( spl0_12
| spl0_46
| ~ spl0_59 ),
inference(sat_conversion,[],[f46592]) ).
cnf(s5238,plain,
( ~ spl0_507
| ~ spl0_612
| ~ spl0_691 ),
inference(sat_conversion,[],[f46594]) ).
cnf(s5239,plain,
( ~ spl0_23
| spl0_46
| spl0_1085 ),
inference(sat_conversion,[],[f46598]) ).
cnf(s5242,plain,
( ~ spl0_626
| spl0_659
| ~ spl0_662 ),
inference(sat_conversion,[],[f46601]) ).
cnf(s5243,plain,
( ~ spl0_624
| spl0_625
| ~ spl0_626 ),
inference(sat_conversion,[],[f46602]) ).
cnf(s5245,plain,
( ~ spl0_626
| spl0_634
| ~ spl0_664 ),
inference(sat_conversion,[],[f46604]) ).
cnf(s5251,plain,
( ~ spl0_17
| ~ spl0_631 ),
inference(sat_conversion,[],[f46665]) ).
cnf(s5254,plain,
( ~ spl0_17
| spl0_647 ),
inference(sat_conversion,[],[f46692]) ).
cnf(s5261,plain,
( spl0_639
| spl0_647
| spl0_662 ),
inference(sat_conversion,[],[f46733]) ).
cnf(s5263,plain,
( spl0_9
| spl0_38
| ~ spl0_59 ),
inference(sat_conversion,[],[f46734]) ).
cnf(s5269,plain,
( spl0_18
| spl0_46
| ~ spl0_62 ),
inference(sat_conversion,[],[f46779]) ).
cnf(s5280,plain,
( ~ spl0_61
| ~ spl0_630
| ~ spl0_641
| spl0_1083 ),
inference(sat_conversion,[],[f46896]) ).
cnf(s5283,plain,
( ~ spl0_622
| ~ spl0_635
| ~ spl0_691 ),
inference(sat_conversion,[],[f46905]) ).
cnf(s5290,plain,
( ~ spl0_511
| ~ spl0_614
| ~ spl0_1083 ),
inference(sat_conversion,[],[f46998]) ).
cnf(s5291,plain,
( ~ spl0_62
| spl0_659
| ~ spl0_1083 ),
inference(sat_conversion,[],[f47000]) ).
cnf(s5298,plain,
( ~ spl0_59
| ~ spl0_511
| spl0_683
| ~ spl0_705 ),
inference(sat_conversion,[],[f47239]) ).
cnf(s5302,plain,
( ~ spl0_46
| spl0_49
| ~ spl0_647
| ~ spl0_704 ),
inference(sat_conversion,[],[f47248]) ).
cnf(s5303,plain,
( spl0_26
| ~ spl0_511
| spl0_623 ),
inference(sat_conversion,[],[f47249]) ).
cnf(s5307,plain,
( spl0_513
| spl0_1087 ),
inference(sat_conversion,[],[f47257]) ).
cnf(s5316,plain,
( ~ spl0_1
| spl0_637 ),
inference(sat_conversion,[],[f47273]) ).
cnf(s5331,plain,
( ~ spl0_1
| ~ spl0_79
| ~ spl0_1089 ),
inference(sat_conversion,[],[f47357]) ).
cnf(s5332,plain,
( ~ spl0_22
| spl0_632
| spl0_1087 ),
inference(sat_conversion,[],[f47363]) ).
cnf(s5335,plain,
( spl0_41
| spl0_632 ),
inference(sat_conversion,[],[f47394]) ).
cnf(s5337,plain,
( ~ spl0_59
| spl0_632
| ~ spl0_661
| spl0_683 ),
inference(sat_conversion,[],[f47396]) ).
cnf(s5339,plain,
( spl0_26
| spl0_31
| spl0_56
| ~ spl0_876 ),
inference(sat_conversion,[],[f47583]) ).
cnf(s5346,plain,
( ~ spl0_17
| ~ spl0_617
| ~ spl0_1089
| spl0_1090 ),
inference(sat_conversion,[],[f47804]) ).
cnf(s5347,plain,
( ~ spl0_1
| spl0_74
| ~ spl0_847 ),
inference(sat_conversion,[],[f47876]) ).
cnf(s5350,plain,
( ~ spl0_1
| spl0_74
| ~ spl0_625 ),
inference(sat_conversion,[],[f47901]) ).
cnf(s5351,plain,
( ~ spl0_17
| spl0_49
| ~ spl0_625 ),
inference(sat_conversion,[],[f47902]) ).
cnf(s5353,plain,
( ~ spl0_1
| ~ spl0_615
| spl0_677 ),
inference(sat_conversion,[],[f47956]) ).
cnf(s5354,plain,
( ~ spl0_1
| ~ spl0_17
| ~ spl0_677 ),
inference(sat_conversion,[],[f47968]) ).
cnf(s5356,plain,
( ~ spl0_1
| ~ spl0_617
| ~ spl0_677 ),
inference(sat_conversion,[],[f47972]) ).
cnf(s5365,plain,
( ~ spl0_42
| ~ spl0_615
| spl0_693 ),
inference(sat_conversion,[],[f48017]) ).
cnf(s5369,plain,
( ~ spl0_53
| ~ spl0_507
| ~ spl0_647 ),
inference(sat_conversion,[],[f48034]) ).
cnf(s5376,plain,
( ~ spl0_46
| spl0_698 ),
inference(sat_conversion,[],[f48054]) ).
cnf(s5377,plain,
( ~ spl0_79
| ~ spl0_637
| ~ spl0_1087 ),
inference(sat_conversion,[],[f48066]) ).
cnf(s5381,plain,
( ~ spl0_18
| ~ spl0_59
| ~ spl0_617
| ~ spl0_644
| ~ spl0_693 ),
inference(sat_conversion,[],[f48207]) ).
cnf(s5388,plain,
( ~ spl0_96
| ~ spl0_507
| ~ spl0_1087
| spl0_1092 ),
inference(sat_conversion,[],[f48244]) ).
cnf(s5401,plain,
( ~ spl0_658
| spl0_768 ),
inference(sat_conversion,[],[f48295]) ).
cnf(s5409,plain,
( ~ spl0_627
| ~ spl0_630
| ~ spl0_666
| ~ spl0_1085 ),
inference(sat_conversion,[],[f48349]) ).
cnf(s5411,plain,
( ~ spl0_2
| ~ spl0_61
| spl0_622
| ~ spl0_630 ),
inference(sat_conversion,[],[f48353]) ).
cnf(s5412,plain,
( spl0_26
| ~ spl0_630
| spl0_641 ),
inference(sat_conversion,[],[f48354]) ).
cnf(s5413,plain,
( spl0_14
| spl0_26
| ~ spl0_62 ),
inference(sat_conversion,[],[f48355]) ).
cnf(s5415,plain,
( ~ spl0_3
| ~ spl0_1087
| ~ spl0_1092 ),
inference(sat_conversion,[],[f48399]) ).
cnf(s5416,plain,
( ~ spl0_73
| ~ spl0_511
| ~ spl0_513 ),
inference(sat_conversion,[],[f48400]) ).
cnf(s5419,plain,
( ~ spl0_34
| spl0_634
| ~ spl0_648
| spl0_1097 ),
inference(sat_conversion,[],[f48408]) ).
cnf(s5421,plain,
( ~ spl0_34
| spl0_637
| ~ spl0_661
| spl0_1080 ),
inference(sat_conversion,[],[f48410]) ).
cnf(s5427,plain,
( ~ spl0_615
| ~ spl0_688
| ~ spl0_1089 ),
inference(sat_conversion,[],[f48457]) ).
cnf(s5428,plain,
( ~ spl0_73
| ~ spl0_630
| ~ spl0_644 ),
inference(sat_conversion,[],[f48458]) ).
cnf(s5454,plain,
( ~ spl0_31
| ~ spl0_647
| ~ spl0_693 ),
inference(sat_conversion,[],[f48588]) ).
cnf(s5457,plain,
( ~ spl0_59
| spl0_625
| ~ spl0_648
| spl0_1083 ),
inference(sat_conversion,[],[f48591]) ).
cnf(s5467,plain,
( ~ spl0_26
| ~ spl0_31
| ~ spl0_632
| ~ spl0_844 ),
inference(sat_conversion,[],[f48661]) ).
cnf(s5471,plain,
( ~ spl0_615
| ~ spl0_625
| ~ spl0_632
| spl0_693 ),
inference(sat_conversion,[],[f48701]) ).
cnf(s5480,plain,
( ~ spl0_31
| ~ spl0_612
| ~ spl0_688 ),
inference(sat_conversion,[],[f48786]) ).
cnf(s5481,plain,
( ~ spl0_31
| spl0_511
| ~ spl0_688 ),
inference(sat_conversion,[],[f48788]) ).
cnf(s5486,plain,
( ~ spl0_2
| ~ spl0_526
| ~ spl0_616
| spl0_622 ),
inference(sat_conversion,[],[f48793]) ).
cnf(s5489,plain,
( ~ spl0_9
| spl0_39
| ~ spl0_59
| ~ spl0_70 ),
inference(sat_conversion,[],[f48822]) ).
cnf(s5499,plain,
( ~ spl0_85
| ~ spl0_622
| ~ spl0_1089
| spl0_1090 ),
inference(sat_conversion,[],[f48883]) ).
cnf(s5500,plain,
( ~ spl0_5
| ~ spl0_622
| ~ spl0_1090 ),
inference(sat_conversion,[],[f48933]) ).
cnf(s5502,plain,
( ~ spl0_12
| spl0_31
| ~ spl0_62
| spl0_73 ),
inference(sat_conversion,[],[f48935]) ).
cnf(s5507,plain,
( ~ spl0_614
| spl0_626
| ~ spl0_644
| ~ spl0_705 ),
inference(sat_conversion,[],[f49007]) ).
cnf(s5509,plain,
( ~ spl0_526
| ~ spl0_614
| ~ spl0_1097 ),
inference(sat_conversion,[],[f49009]) ).
cnf(s5518,plain,
( ~ spl0_55
| ~ spl0_632
| ~ spl0_1087 ),
inference(sat_conversion,[],[f49056]) ).
cnf(s5531,plain,
( ~ spl0_41
| ~ spl0_511
| ~ spl0_616
| ~ spl0_630 ),
inference(sat_conversion,[],[f49215]) ).
cnf(s5532,plain,
( ~ spl0_41
| ~ spl0_62
| ~ spl0_630
| spl0_1089 ),
inference(sat_conversion,[],[f49217]) ).
cnf(s5533,plain,
( spl0_31
| ~ spl0_511
| spl0_705 ),
inference(sat_conversion,[],[f49218]) ).
cnf(s5535,plain,
( spl0_5
| spl0_23
| ~ spl0_59 ),
inference(sat_conversion,[],[f49240]) ).
cnf(s5541,plain,
( ~ spl0_617
| ~ spl0_1087
| ~ spl0_1090 ),
inference(sat_conversion,[],[f49324]) ).
cnf(s5542,plain,
( spl0_46
| ~ spl0_511
| spl0_661 ),
inference(sat_conversion,[],[f49325]) ).
cnf(s5544,plain,
( ~ spl0_46
| ~ spl0_647
| ~ spl0_700 ),
inference(sat_conversion,[],[f49327]) ).
cnf(s5545,plain,
( ~ spl0_9
| spl0_31
| spl0_39
| ~ spl0_70 ),
inference(sat_conversion,[],[f49353]) ).
cnf(s5552,plain,
( ~ spl0_42
| ~ spl0_55
| ~ spl0_1089 ),
inference(sat_conversion,[],[f49388]) ).
cnf(s5558,plain,
( ~ spl0_3
| ~ spl0_46
| spl0_53
| ~ spl0_697 ),
inference(sat_conversion,[],[f49484]) ).
cnf(s5561,plain,
( ~ spl0_18
| ~ spl0_614
| ~ spl0_644
| spl0_1087 ),
inference(sat_conversion,[],[f49510]) ).
cnf(s5564,plain,
( ~ spl0_614
| spl0_622
| spl0_623 ),
inference(sat_conversion,[],[f49514]) ).
cnf(s5577,plain,
( ~ spl0_8
| ~ spl0_34
| spl0_647
| ~ spl0_667 ),
inference(sat_conversion,[],[f49575]) ).
cnf(s5579,plain,
( ~ spl0_26
| ~ spl0_42
| spl0_48
| ~ spl0_637 ),
inference(sat_conversion,[],[f49643]) ).
cnf(s5580,plain,
( ~ spl0_50
| ~ spl0_617
| ~ spl0_637
| spl0_1093 ),
inference(sat_conversion,[],[f49644]) ).
cnf(s5582,plain,
( ~ spl0_50
| spl0_622 ),
inference(sat_conversion,[],[f49647]) ).
cnf(s5584,plain,
( ~ spl0_630
| ~ spl0_665
| ~ spl0_1091
| spl0_1097 ),
inference(sat_conversion,[],[f49649]) ).
cnf(s5585,plain,
( spl0_38
| ~ spl0_511
| spl0_633 ),
inference(sat_conversion,[],[f49650]) ).
cnf(s5586,plain,
( spl0_5
| ~ spl0_8
| ~ spl0_12
| spl0_81 ),
inference(sat_conversion,[],[f49651]) ).
cnf(s5588,plain,
( ~ spl0_50
| spl0_507 ),
inference(sat_conversion,[],[f49655]) ).
cnf(s5593,plain,
( ~ spl0_617
| ~ spl0_622
| ~ spl0_637
| spl0_1093 ),
inference(sat_conversion,[],[f49660]) ).
cnf(s5600,plain,
( ~ spl0_8
| ~ spl0_70
| spl0_81
| ~ spl0_1094 ),
inference(sat_conversion,[],[f49805]) ).
cnf(s5601,plain,
( ~ spl0_511
| ~ spl0_662
| ~ spl0_1094
| spl0_1099 ),
inference(sat_conversion,[],[f49809]) ).
cnf(s5607,plain,
( ~ spl0_1
| spl0_79
| ~ spl0_696 ),
inference(sat_conversion,[],[f49907]) ).
cnf(s5608,plain,
( ~ spl0_31
| ~ spl0_42
| spl0_55
| ~ spl0_696 ),
inference(sat_conversion,[],[f49908]) ).
cnf(s5609,plain,
( ~ spl0_617
| ~ spl0_696
| ~ spl0_1089
| spl0_1090 ),
inference(sat_conversion,[],[f49909]) ).
cnf(s5613,plain,
( ~ spl0_1
| spl0_79
| ~ spl0_637
| ~ spl0_768 ),
inference(sat_conversion,[],[f49929]) ).
cnf(s5617,plain,
( spl0_2
| ~ spl0_70 ),
inference(sat_conversion,[],[f49953]) ).
cnf(s5618,plain,
( ~ spl0_31
| ~ spl0_42
| spl0_55
| ~ spl0_659 ),
inference(sat_conversion,[],[f50011]) ).
cnf(s5619,plain,
( ~ spl0_1
| spl0_79
| ~ spl0_659 ),
inference(sat_conversion,[],[f50012]) ).
cnf(s5631,plain,
( ~ spl0_507
| ~ spl0_617
| ~ spl0_1093 ),
inference(sat_conversion,[],[f50081]) ).
cnf(s5632,plain,
( ~ spl0_8
| spl0_659
| ~ spl0_1097 ),
inference(sat_conversion,[],[f50092]) ).
cnf(s5635,plain,
( ~ spl0_617
| ~ spl0_625
| ~ spl0_693 ),
inference(sat_conversion,[],[f50115]) ).
cnf(s5640,plain,
( spl0_41
| ~ spl0_617
| ~ spl0_693 ),
inference(sat_conversion,[],[f50145]) ).
cnf(s5645,plain,
( ~ spl0_105
| spl0_634
| spl0_660
| spl0_1089 ),
inference(sat_conversion,[],[f50218]) ).
cnf(s5646,plain,
( ~ spl0_105
| spl0_637
| spl0_639
| spl0_1087 ),
inference(sat_conversion,[],[f50219]) ).
cnf(s5665,plain,
~ spl0_660,
inference(sat_conversion,[],[f50331]) ).
cnf(s5668,plain,
( ~ spl0_5
| ~ spl0_38
| spl0_74
| ~ spl0_89 ),
inference(sat_conversion,[],[f50334]) ).
cnf(s5669,plain,
( ~ spl0_5
| ~ spl0_507
| ~ spl0_688 ),
inference(sat_conversion,[],[f50335]) ).
cnf(s5671,plain,
( ~ spl0_48
| ~ spl0_507
| ~ spl0_632 ),
inference(sat_conversion,[],[f50358]) ).
cnf(s5672,plain,
( ~ spl0_615
| ~ spl0_622
| ~ spl0_1092 ),
inference(sat_conversion,[],[f50397]) ).
cnf(s5676,plain,
( spl0_65
| ~ spl0_698 ),
inference(sat_conversion,[],[f50484]) ).
cnf(s5680,plain,
( ~ spl0_511
| spl0_637
| spl0_1091 ),
inference(sat_conversion,[],[f50632]) ).
cnf(s5681,plain,
( ~ spl0_637
| spl0_844
| ~ spl0_1087 ),
inference(sat_conversion,[],[f50650]) ).
cnf(s5682,plain,
( ~ spl0_26
| ~ spl0_637
| ~ spl0_693 ),
inference(sat_conversion,[],[f50654]) ).
cnf(s5684,plain,
( ~ spl0_38
| spl0_74
| ~ spl0_637
| ~ spl0_704 ),
inference(sat_conversion,[],[f50656]) ).
cnf(s5685,plain,
( ~ spl0_630
| ~ spl0_666
| ~ spl0_1094
| spl0_1102 ),
inference(sat_conversion,[],[f50701]) ).
cnf(s5692,plain,
( ~ spl0_615
| ~ spl0_659
| spl0_688
| ~ spl0_1087 ),
inference(sat_conversion,[],[f50751]) ).
cnf(s5693,plain,
( ~ spl0_26
| ~ spl0_507
| ~ spl0_632
| ~ spl0_637 ),
inference(sat_conversion,[],[f50768]) ).
cnf(s5694,plain,
( ~ spl0_21
| ~ spl0_513
| spl0_632
| spl0_683 ),
inference(sat_conversion,[],[f50803]) ).
cnf(s5699,plain,
( ~ spl0_630
| spl0_634
| spl0_1091 ),
inference(sat_conversion,[],[f50893]) ).
cnf(s5700,plain,
( ~ spl0_511
| ~ spl0_664
| spl0_1080
| ~ spl0_1091 ),
inference(sat_conversion,[],[f50917]) ).
cnf(s5705,plain,
( ~ spl0_46
| ~ spl0_68
| spl0_71
| ~ spl0_74
| ~ spl0_675 ),
inference(sat_conversion,[],[f51141]) ).
cnf(s5706,plain,
( ~ spl0_68
| ~ spl0_74
| ~ spl0_89
| spl0_675 ),
inference(sat_conversion,[],[f51144]) ).
cnf(s5709,plain,
( ~ spl0_13
| ~ spl0_49
| ~ spl0_52
| spl0_71 ),
inference(sat_conversion,[],[f51217]) ).
cnf(s5712,plain,
( ~ spl0_8
| ~ spl0_71
| ~ spl0_1091
| spl0_1104 ),
inference(sat_conversion,[],[f51382]) ).
cnf(s5713,plain,
( spl0_1100
| ~ spl0_1104 ),
inference(sat_conversion,[],[f51387]) ).
cnf(s5731,plain,
( ~ spl0_11
| spl0_647
| spl0_1087 ),
inference(sat_conversion,[],[f51759]) ).
cnf(s5732,plain,
( ~ spl0_19
| ~ spl0_31
| spl0_622
| ~ spl0_659
| ~ spl0_1089 ),
inference(sat_conversion,[],[f52073]) ).
cnf(s5733,plain,
( ~ spl0_7
| ~ spl0_13
| ~ spl0_19
| ~ spl0_31
| spl0_50 ),
inference(sat_conversion,[],[f52074]) ).
cnf(s5735,plain,
( ~ spl0_19
| ~ spl0_31
| spl0_55
| spl0_622
| ~ spl0_659 ),
inference(sat_conversion,[],[f52077]) ).
cnf(s5956,plain,
( ~ spl0_18
| ~ spl0_513
| spl0_1180 ),
inference(sat_conversion,[],[f54435]) ).
cnf(s5968,plain,
( ~ spl0_2
| ~ spl0_41
| ~ spl0_71
| ~ spl0_507
| ~ spl0_511
| ~ spl0_615
| ~ spl0_617
| spl0_622
| ~ spl0_637
| spl0_639 ),
inference(sat_conversion,[],[f55021]) ).
cnf(s5976,plain,
( ~ spl0_2
| ~ spl0_7
| spl0_613
| spl0_622
| ~ spl0_637
| ~ spl0_659
| ~ spl0_1089
| spl0_1183 ),
inference(sat_conversion,[],[f55031]) ).
cnf(s5977,plain,
( spl0_507
| spl0_639
| ~ spl0_1075
| spl0_1087 ),
inference(sat_conversion,[],[f55035]) ).
cnf(s5978,plain,
( ~ spl0_13
| spl0_507
| spl0_647 ),
inference(sat_conversion,[],[f55039]) ).
cnf(s5981,plain,
( ~ spl0_7
| spl0_507
| spl0_1087 ),
inference(sat_conversion,[],[f55047]) ).
cnf(s5986,plain,
( ~ spl0_81
| spl0_507
| spl0_1087 ),
inference(sat_conversion,[],[f55058]) ).
cnf(s5990,plain,
( ~ spl0_2
| spl0_3
| spl0_507
| spl0_647 ),
inference(sat_conversion,[],[f55063]) ).
cnf(s5994,plain,
( ~ spl0_7
| ~ spl0_13
| spl0_507
| ~ spl0_617
| ~ spl0_1089 ),
inference(sat_conversion,[],[f55070]) ).
cnf(s5996,plain,
( ~ spl0_633
| spl0_637
| spl0_667 ),
inference(sat_conversion,[],[f55073]) ).
cnf(s5998,plain,
( ~ spl0_10
| ~ spl0_615
| spl0_634
| ~ spl0_1087
| ~ spl0_1100 ),
inference(sat_conversion,[],[f55075]) ).
cnf(s5999,plain,
( ~ spl0_511
| spl0_647
| spl0_1094 ),
inference(sat_conversion,[],[f55077]) ).
cnf(s6002,plain,
( ~ spl0_630
| spl0_659
| spl0_1094 ),
inference(sat_conversion,[],[f55083]) ).
cnf(s6013,plain,
( spl0_5
| ~ spl0_465
| ~ spl0_513
| spl0_637 ),
inference(sat_conversion,[],[f55104]) ).
cnf(s6017,plain,
( ~ spl0_7
| ~ spl0_13
| ~ spl0_615
| spl0_622
| ~ spl0_1087 ),
inference(sat_conversion,[],[f55109]) ).
cnf(s6033,plain,
( ~ spl0_1087
| spl0_1167 ),
inference(sat_conversion,[],[f55181]) ).
cnf(s6034,plain,
( ~ spl0_622
| spl0_1112 ),
inference(sat_conversion,[],[f55190]) ).
cnf(s6037,plain,
( ~ spl0_507
| ~ spl0_615
| ~ spl0_634
| spl0_1092 ),
inference(sat_conversion,[],[f55358]) ).
cnf(s6040,plain,
( ~ spl0_647
| spl0_686
| ~ spl0_1167 ),
inference(sat_conversion,[],[f55457]) ).
cnf(s6048,plain,
( spl0_639
| spl0_1187
| spl0_1188 ),
inference(sat_conversion,[],[f56001]) ).
cnf(s6051,plain,
( ~ spl0_7
| ~ spl0_13
| spl0_507
| ~ spl0_760
| ~ spl0_1190 ),
inference(sat_conversion,[],[f56040]) ).
cnf(s6053,plain,
( ~ spl0_686
| ~ spl0_760
| ~ spl0_1190 ),
inference(sat_conversion,[],[f56042]) ).
cnf(s6058,plain,
( ~ spl0_68
| spl0_1190
| spl0_1191 ),
inference(sat_conversion,[],[f56078]) ).
cnf(s6062,plain,
( ~ spl0_7
| spl0_1190
| spl0_1192 ),
inference(sat_conversion,[],[f56082]) ).
cnf(s6069,plain,
( ~ spl0_511
| ~ spl0_642
| ~ spl0_764
| ~ spl0_1188
| spl0_1196 ),
inference(sat_conversion,[],[f56202]) ).
cnf(s6148,plain,
( ~ spl0_7
| ~ spl0_71
| spl0_493
| spl0_639
| ~ spl0_683
| ~ spl0_686
| ~ spl0_876
| ~ spl0_1077
| ~ spl0_1087 ),
inference(sat_conversion,[],[f62570]) ).
cnf(s6176,plain,
( spl0_5
| ~ spl0_10
| ~ spl0_18
| ~ spl0_41
| ~ spl0_493
| spl0_507
| spl0_612
| ~ spl0_686
| ~ spl0_691
| ~ spl0_1077
| spl0_1218 ),
inference(sat_conversion,[],[f66030]) ).
cnf(s6273,plain,
( spl0_5
| ~ spl0_18
| ~ spl0_41
| spl0_56
| spl0_612
| ~ spl0_634
| spl0_637
| ~ spl0_691
| ~ spl0_1077
| ~ spl0_1112
| ~ spl0_1192
| ~ spl0_1218 ),
inference(sat_conversion,[],[f67995]) ).
cnf(s6322,plain,
( ~ spl0_612
| spl0_688
| ~ spl0_698
| ~ spl0_1087 ),
inference(sat_conversion,[],[f68157]) ).
cnf(s6324,plain,
( ~ spl0_17
| ~ spl0_615
| ~ spl0_617 ),
inference(sat_conversion,[],[f68238]) ).
cnf(s6330,plain,
( ~ spl0_4
| ~ spl0_8
| spl0_77 ),
inference(sat_conversion,[],[f68248]) ).
cnf(s6333,plain,
( ~ spl0_7
| ~ spl0_13
| ~ spl0_1087
| ~ spl0_1187
| spl0_1192 ),
inference(sat_conversion,[],[f68252]) ).
cnf(s6335,plain,
( ~ spl0_8
| spl0_647
| ~ spl0_1080 ),
inference(sat_conversion,[],[f68254]) ).
cnf(s6341,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| spl0_26
| ~ spl0_38 ),
inference(sat_conversion,[],[f68260]) ).
cnf(s6345,plain,
( ~ spl0_59
| spl0_625
| ~ spl0_1102 ),
inference(sat_conversion,[],[f68270]) ).
cnf(s6350,plain,
( ~ spl0_2
| spl0_26
| spl0_56
| ~ spl0_526
| spl0_632 ),
inference(sat_conversion,[],[f68278]) ).
cnf(s6357,plain,
( ~ spl0_34
| spl0_634
| ~ spl0_1102 ),
inference(sat_conversion,[],[f68297]) ).
cnf(s6358,plain,
( ~ spl0_5
| ~ spl0_38
| spl0_79
| ~ spl0_698 ),
inference(sat_conversion,[],[f68299]) ).
cnf(s6362,plain,
( ~ spl0_7
| ~ spl0_13
| spl0_507
| spl0_1077
| ~ spl0_1080 ),
inference(sat_conversion,[],[f68304]) ).
cnf(s6364,plain,
( ~ spl0_8
| ~ spl0_59
| spl0_647
| ~ spl0_670 ),
inference(sat_conversion,[],[f68307]) ).
cnf(s6366,plain,
( spl0_5
| ~ spl0_465
| spl0_1075 ),
inference(sat_conversion,[],[f68309]) ).
cnf(s6371,plain,
( ~ spl0_10
| spl0_634
| spl0_1089 ),
inference(sat_conversion,[],[f68316]) ).
cnf(s6373,plain,
( ~ spl0_107
| spl0_634
| spl0_660
| spl0_1089 ),
inference(sat_conversion,[],[f68318]) ).
cnf(s6383,plain,
( ~ spl0_2
| spl0_26
| spl0_50
| ~ spl0_71 ),
inference(sat_conversion,[],[f68333]) ).
cnf(s6384,plain,
( ~ spl0_2
| spl0_19
| spl0_26 ),
inference(sat_conversion,[],[f68335]) ).
cnf(s6392,plain,
( ~ spl0_71
| spl0_630 ),
inference(sat_conversion,[],[f68354]) ).
cnf(s6403,plain,
( ~ spl0_7
| ~ spl0_31
| ~ spl0_52
| ~ spl0_65
| spl0_71 ),
inference(sat_conversion,[],[f68389]) ).
cnf(s6405,plain,
( ~ spl0_511
| ~ spl0_662
| ~ spl0_1094
| spl0_1099 ),
inference(sat_conversion,[],[f68394]) ).
cnf(s6409,plain,
( ~ spl0_2
| spl0_26
| spl0_622
| spl0_635
| spl0_639 ),
inference(sat_conversion,[],[f68398]) ).
cnf(s6410,plain,
( ~ spl0_2
| spl0_26
| spl0_622
| spl0_625
| spl0_639 ),
inference(sat_conversion,[],[f68399]) ).
cnf(s6411,plain,
( ~ spl0_2
| spl0_3
| spl0_876 ),
inference(sat_conversion,[],[f68407]) ).
cnf(s6415,plain,
( ~ spl0_4
| ~ spl0_8
| spl0_31
| ~ spl0_59
| spl0_73 ),
inference(sat_conversion,[],[f68451]) ).
cnf(s6426,plain,
( spl0_764
| spl0_1192 ),
inference(sat_conversion,[],[f68574]) ).
cnf(s6429,plain,
( ~ spl0_637
| spl0_677
| ~ spl0_1187
| ~ spl0_1191 ),
inference(sat_conversion,[],[f68655]) ).
cnf(s6430,plain,
( ~ spl0_52
| ~ spl0_1192
| spl0_1256 ),
inference(sat_conversion,[],[f68662]) ).
cnf(s6436,plain,
( ~ spl0_635
| ~ spl0_698
| ~ spl0_1089
| spl0_1090 ),
inference(sat_conversion,[],[f68722]) ).
cnf(s6439,plain,
( spl0_513
| spl0_639
| spl0_1087 ),
inference(sat_conversion,[],[f68731]) ).
cnf(s6440,plain,
( ~ spl0_1092
| ~ spl0_1187
| ~ spl0_1192 ),
inference(sat_conversion,[],[f68786]) ).
cnf(s6446,plain,
( spl0_1191
| spl0_1195 ),
inference(sat_conversion,[],[f68934]) ).
cnf(s6449,plain,
( ~ spl0_73
| spl0_1190
| ~ spl0_1256 ),
inference(sat_conversion,[],[f68944]) ).
cnf(s6455,plain,
( ~ spl0_616
| ~ spl0_644
| ~ spl0_1099 ),
inference(sat_conversion,[],[f68980]) ).
cnf(s6457,plain,
( ~ spl0_59
| ~ spl0_511
| ~ spl0_1180 ),
inference(sat_conversion,[],[f69024]) ).
cnf(s6459,plain,
( ~ spl0_26
| ~ spl0_625
| ~ spl0_1252 ),
inference(sat_conversion,[],[f69040]) ).
cnf(s6460,plain,
( spl0_639
| spl0_760
| spl0_761 ),
inference(sat_conversion,[],[f69046]) ).
cnf(s6472,plain,
( ~ spl0_683
| ~ spl0_761
| spl0_1270
| spl0_1271 ),
inference(sat_conversion,[],[f69131]) ).
cnf(s6474,plain,
( ~ spl0_698
| spl0_1189
| ~ spl0_1190
| ~ spl0_1270 ),
inference(sat_conversion,[],[f69153]) ).
cnf(s6492,plain,
( ~ spl0_7
| ~ spl0_13
| spl0_622
| ~ spl0_1190
| ~ spl0_1234 ),
inference(sat_conversion,[],[f69431]) ).
cnf(s6496,plain,
( ~ spl0_46
| ~ spl0_659
| ~ spl0_669 ),
inference(sat_conversion,[],[f69457]) ).
cnf(s6502,plain,
( ~ spl0_5
| ~ spl0_637
| ~ spl0_686 ),
inference(sat_conversion,[],[f69471]) ).
cnf(s6505,plain,
( spl0_38
| ~ spl0_41
| spl0_43 ),
inference(sat_conversion,[],[f69477]) ).
cnf(s6512,plain,
( ~ spl0_65
| ~ spl0_683
| ~ spl0_761
| spl0_1189
| ~ spl0_1190 ),
inference(sat_conversion,[],[f69490]) ).
cnf(s6514,plain,
( ~ spl0_13
| ~ spl0_46
| spl0_622
| ~ spl0_669 ),
inference(sat_conversion,[],[f69493]) ).
cnf(s6516,plain,
( ~ spl0_41
| spl0_45
| spl0_46 ),
inference(sat_conversion,[],[f69495]) ).
cnf(s6521,plain,
( ~ spl0_65
| spl0_630
| ~ spl0_1089
| spl0_1090 ),
inference(sat_conversion,[],[f69574]) ).
cnf(s6533,plain,
( ~ spl0_2
| spl0_612
| ~ spl0_635
| ~ spl0_683
| ~ spl0_691
| ~ spl0_761
| ~ spl0_1196
| ~ spl0_1270 ),
inference(sat_conversion,[],[f69880]) ).
cnf(s6559,plain,
( ~ spl0_2
| spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f69933]) ).
cnf(s6561,plain,
( ~ spl0_2
| spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f69936]) ).
cnf(s6577,plain,
~ spl0_984,
inference(sat_conversion,[],[f70067]) ).
cnf(s6579,plain,
( ~ spl0_634
| ~ spl0_1112
| spl0_1252 ),
inference(sat_conversion,[],[f70076]) ).
cnf(s6582,plain,
( ~ spl0_615
| spl0_630
| spl0_631 ),
inference(sat_conversion,[],[f70109]) ).
cnf(s6640,plain,
( ~ spl0_2
| spl0_622
| ~ spl0_631
| ~ spl0_691
| ~ spl0_760
| ~ spl0_1087
| spl0_1089
| ~ spl0_1270 ),
inference(sat_conversion,[],[f70941]) ).
cnf(s6651,plain,
( ~ spl0_2
| ~ spl0_615
| spl0_622
| ~ spl0_631
| ~ spl0_691
| ~ spl0_760
| ~ spl0_1270 ),
inference(sat_conversion,[],[f70955]) ).
cnf(s6661,plain,
( ~ spl0_2
| spl0_507
| spl0_640
| ~ spl0_691
| spl0_760
| ~ spl0_1270 ),
inference(sat_conversion,[],[f70975]) ).
cnf(s6664,plain,
( ~ spl0_617
| ~ spl0_1111 ),
inference(sat_conversion,[],[f71104]) ).
cnf(s6669,plain,
( ~ spl0_511
| spl0_630
| ~ spl0_1111 ),
inference(sat_conversion,[],[f71112]) ).
cnf(s6670,plain,
( ~ spl0_615
| ~ spl0_1111 ),
inference(sat_conversion,[],[f71114]) ).
cnf(s6672,plain,
( ~ spl0_634
| spl0_637
| ~ spl0_1111 ),
inference(sat_conversion,[],[f71117]) ).
cnf(s6678,plain,
( ~ spl0_1087
| spl0_1089
| ~ spl0_1111 ),
inference(sat_conversion,[],[f71124]) ).
cnf(s6693,plain,
( spl0_1256
| spl0_1270 ),
inference(sat_conversion,[],[f71166]) ).
cnf(s6695,plain,
( spl0_10
| ~ spl0_34
| ~ spl0_77 ),
inference(sat_conversion,[],[f71168]) ).
cnf(s6697,plain,
( spl0_7
| ~ spl0_18
| ~ spl0_34 ),
inference(sat_conversion,[],[f71173]) ).
cnf(s6700,plain,
( spl0_22
| ~ spl0_59
| ~ spl0_77 ),
inference(sat_conversion,[],[f71179]) ).
cnf(s6714,plain,
( ~ spl0_1192
| ~ spl0_1234
| ~ spl0_1252 ),
inference(sat_conversion,[],[f71332]) ).
cnf(s6723,plain,
( ~ spl0_18
| ~ spl0_644
| spl0_1190
| ~ spl0_1233 ),
inference(sat_conversion,[],[f71391]) ).
cnf(s6725,plain,
( ~ spl0_41
| ~ spl0_62
| spl0_1190
| ~ spl0_1256 ),
inference(sat_conversion,[],[f71412]) ).
cnf(s6727,plain,
( ~ spl0_26
| ~ spl0_31
| spl0_55
| ~ spl0_85 ),
inference(sat_conversion,[],[f71414]) ).
cnf(s6735,plain,
( ~ spl0_2
| spl0_26
| spl0_56
| spl0_507
| spl0_632 ),
inference(sat_conversion,[],[f71433]) ).
cnf(s6737,plain,
( ~ spl0_85
| ~ spl0_507
| spl0_688
| ~ spl0_1087 ),
inference(sat_conversion,[],[f71439]) ).
cnf(s6738,plain,
( ~ spl0_61
| spl0_632
| ~ spl0_1080 ),
inference(sat_conversion,[],[f71442]) ).
cnf(s6742,plain,
( ~ spl0_2
| spl0_26
| spl0_56
| spl0_507
| spl0_612 ),
inference(sat_conversion,[],[f71449]) ).
cnf(s6744,plain,
( ~ spl0_2
| spl0_26
| spl0_507
| ~ spl0_511 ),
inference(sat_conversion,[],[f71451]) ).
cnf(s6757,plain,
( ~ spl0_31
| ~ spl0_632
| ~ spl0_686 ),
inference(sat_conversion,[],[f71498]) ).
cnf(s6774,plain,
( ~ spl0_677
| ~ spl0_760
| ~ spl0_1191 ),
inference(sat_conversion,[],[f71623]) ).
cnf(s6784,plain,
( ~ spl0_31
| ~ spl0_635
| ~ spl0_1090 ),
inference(sat_conversion,[],[f71809]) ).
cnf(s6800,plain,
( ~ spl0_31
| ~ spl0_1189
| ~ spl0_1270 ),
inference(sat_conversion,[],[f72008]) ).
cnf(s6804,plain,
( ~ spl0_509
| ~ spl0_1188
| ~ spl0_1256 ),
inference(sat_conversion,[],[f72015]) ).
cnf(s6806,plain,
( ~ spl0_61
| ~ spl0_511
| ~ spl0_623
| spl0_683 ),
inference(sat_conversion,[],[f72020]) ).
cnf(s6819,plain,
( ~ spl0_691
| ~ spl0_1192
| ~ spl0_1270 ),
inference(sat_conversion,[],[f72092]) ).
cnf(s6822,plain,
( ~ spl0_688
| ~ spl0_1187
| ~ spl0_1190 ),
inference(sat_conversion,[],[f72178]) ).
cnf(s6824,plain,
( ~ spl0_626
| ~ spl0_761
| ~ spl0_1233 ),
inference(sat_conversion,[],[f72225]) ).
cnf(s6827,plain,
( ~ spl0_18
| ~ spl0_513
| ~ spl0_761
| spl0_1190 ),
inference(sat_conversion,[],[f72227]) ).
cnf(s6835,plain,
( ~ spl0_62
| ~ spl0_509
| spl0_1087 ),
inference(sat_conversion,[],[f72235]) ).
cnf(s6843,plain,
( ~ spl0_2
| spl0_3
| spl0_622
| spl0_1089 ),
inference(sat_conversion,[],[f72315]) ).
cnf(s6845,plain,
( ~ spl0_3
| ~ spl0_31
| ~ spl0_48 ),
inference(sat_conversion,[],[f72365]) ).
cnf(s6853,plain,
( ~ spl0_669
| ~ spl0_1234
| ~ spl0_1270 ),
inference(sat_conversion,[],[f72459]) ).
cnf(s6855,plain,
( ~ spl0_43
| ~ spl0_1195
| ~ spl0_1256 ),
inference(sat_conversion,[],[f72492]) ).
cnf(s6861,plain,
( ~ spl0_14
| ~ spl0_61
| ~ spl0_62
| spl0_1190
| ~ spl0_1256 ),
inference(sat_conversion,[],[f72500]) ).
cnf(s6863,plain,
( ~ spl0_34
| spl0_637
| ~ spl0_1099 ),
inference(sat_conversion,[],[f72502]) ).
cnf(s6870,plain,
( spl0_511
| spl0_612
| spl0_613 ),
inference(sat_conversion,[],[f72563]) ).
cnf(s6881,plain,
( ~ spl0_14
| ~ spl0_614
| ~ spl0_627
| ~ spl0_666
| spl0_1087 ),
inference(sat_conversion,[],[f72646]) ).
cnf(s6882,plain,
( ~ spl0_625
| spl0_630
| spl0_669 ),
inference(sat_conversion,[],[f72647]) ).
cnf(s6896,plain,
( spl0_21
| spl0_632
| spl0_1087 ),
inference(sat_conversion,[],[f72749]) ).
cnf(s6900,plain,
( ~ spl0_760
| ~ spl0_1183
| ~ spl0_1192 ),
inference(sat_conversion,[],[f72825]) ).
cnf(s6902,plain,
( spl0_511
| ~ spl0_647
| spl0_649 ),
inference(sat_conversion,[],[f72831]) ).
cnf(s6905,plain,
( ~ spl0_18
| spl0_1087
| ~ spl0_1188
| ~ spl0_1269 ),
inference(sat_conversion,[],[f72888]) ).
cnf(s6911,plain,
( ~ spl0_513
| ~ spl0_614
| ~ spl0_1102 ),
inference(sat_conversion,[],[f72938]) ).
cnf(s6918,plain,
( spl0_46
| ~ spl0_630
| spl0_648 ),
inference(sat_conversion,[],[f72948]) ).
cnf(s6941,plain,
( spl0_659
| spl0_660
| spl0_666 ),
inference(sat_conversion,[],[f73070]) ).
cnf(s6946,plain,
( ~ spl0_761
| ~ spl0_764
| ~ spl0_1080 ),
inference(sat_conversion,[],[f73202]) ).
cnf(s6965,plain,
( ~ spl0_1089
| ~ spl0_1189
| ~ spl0_1234 ),
inference(sat_conversion,[],[f73367]) ).
cnf(s6985,plain,
( ~ spl0_659
| spl0_1189
| ~ spl0_1190
| ~ spl0_1234 ),
inference(sat_conversion,[],[f73765]) ).
cnf(s6988,plain,
( ~ spl0_96
| ~ spl0_1190
| ~ spl0_1192
| spl0_1311 ),
inference(sat_conversion,[],[f73772]) ).
cnf(s7009,plain,
~ spl0_1271,
inference(sat_conversion,[],[f73922]) ).
cnf(s7014,plain,
( ~ spl0_61
| ~ spl0_62
| ~ spl0_70
| ~ spl0_80 ),
inference(sat_conversion,[],[f73932]) ).
cnf(s7015,plain,
( ~ spl0_2
| spl0_26
| spl0_660
| spl0_1192
| spl0_1270 ),
inference(sat_conversion,[],[f73934]) ).
cnf(s7016,plain,
( ~ spl0_61
| spl0_625
| ~ spl0_1097 ),
inference(sat_conversion,[],[f73936]) ).
cnf(s7019,plain,
( ~ spl0_70
| spl0_634
| ~ spl0_1083 ),
inference(sat_conversion,[],[f73939]) ).
cnf(s7022,plain,
( ~ spl0_9
| ~ spl0_513
| ~ spl0_664
| spl0_1080 ),
inference(sat_conversion,[],[f73949]) ).
cnf(s7041,plain,
( spl0_1087
| ~ spl0_1089
| ~ spl0_1111 ),
inference(sat_conversion,[],[f74101]) ).
cnf(s7048,plain,
( ~ spl0_513
| spl0_644
| ~ spl0_1111 ),
inference(sat_conversion,[],[f74110]) ).
cnf(s7056,plain,
( spl0_1111
| spl0_1233
| spl0_1234 ),
inference(sat_conversion,[],[f74126]) ).
cnf(s7057,plain,
( spl0_616
| spl0_617
| spl0_1111 ),
inference(sat_conversion,[],[f74127]) ).
cnf(s7058,plain,
( ~ spl0_2
| spl0_622
| spl0_1111
| spl0_1192
| spl0_1234 ),
inference(sat_conversion,[],[f74129]) ).
cnf(s7070,plain,
( ~ spl0_614
| ~ spl0_623
| spl0_626
| ~ spl0_627 ),
inference(sat_conversion,[],[f74236]) ).
cnf(s7079,plain,
( ~ spl0_3
| ~ spl0_1190
| ~ spl0_1311 ),
inference(sat_conversion,[],[f74384]) ).
cnf(s7080,plain,
( ~ spl0_507
| ~ spl0_760
| ~ spl0_1311 ),
inference(sat_conversion,[],[f74386]) ).
cnf(s7082,plain,
( ~ spl0_700
| ~ spl0_760
| ~ spl0_1270 ),
inference(sat_conversion,[],[f74392]) ).
cnf(s7084,plain,
( ~ spl0_77
| ~ spl0_616
| ~ spl0_644
| spl0_1087 ),
inference(sat_conversion,[],[f74395]) ).
cnf(s7085,plain,
( ~ spl0_18
| ~ spl0_513
| ~ spl0_616
| spl0_1089 ),
inference(sat_conversion,[],[f74396]) ).
cnf(s7089,plain,
( spl0_5
| ~ spl0_14
| spl0_80 ),
inference(sat_conversion,[],[f74401]) ).
cnf(s7090,plain,
( ~ spl0_616
| spl0_647
| spl0_648 ),
inference(sat_conversion,[],[f74402]) ).
cnf(s7098,plain,
( spl0_644
| spl0_660
| spl0_1089 ),
inference(sat_conversion,[],[f74459]) ).
cnf(s7103,plain,
( ~ spl0_614
| spl0_633
| spl0_634 ),
inference(sat_conversion,[],[f74539]) ).
cnf(s7116,plain,
( ~ spl0_61
| ~ spl0_70
| spl0_632
| ~ spl0_667 ),
inference(sat_conversion,[],[f74741]) ).
cnf(s7118,plain,
( ~ spl0_8
| ~ spl0_39
| spl0_46 ),
inference(sat_conversion,[],[f74743]) ).
cnf(s7121,plain,
( ~ spl0_31
| spl0_630
| ~ spl0_1090 ),
inference(sat_conversion,[],[f74746]) ).
cnf(s7123,plain,
( ~ spl0_34
| ~ spl0_43
| spl0_46 ),
inference(sat_conversion,[],[f74748]) ).
cnf(s7154,plain,
( spl0_984
| spl0_1190
| spl0_1269 ),
inference(sat_conversion,[],[f74925]) ).
cnf(s7171,plain,
( ~ spl0_1083
| ~ spl0_1233
| ~ spl0_1256 ),
inference(sat_conversion,[],[f75121]) ).
cnf(s7173,plain,
( ~ spl0_614
| spl0_659
| spl0_661 ),
inference(sat_conversion,[],[f75123]) ).
cnf(s7174,plain,
( ~ spl0_614
| spl0_705
| spl0_1089 ),
inference(sat_conversion,[],[f75124]) ).
cnf(s7177,plain,
( ~ spl0_14
| ~ spl0_526
| ~ spl0_616
| ~ spl0_662
| spl0_1089 ),
inference(sat_conversion,[],[f75127]) ).
cnf(s7178,plain,
( spl0_5
| ~ spl0_18
| spl0_68 ),
inference(sat_conversion,[],[f75128]) ).
cnf(s7189,plain,
( spl0_630
| spl0_635
| spl0_640 ),
inference(sat_conversion,[],[f75239]) ).
cnf(s7194,plain,
( ~ spl0_2
| spl0_507
| spl0_640
| spl0_760
| spl0_1192 ),
inference(sat_conversion,[],[f75300]) ).
cnf(s7196,plain,
( ~ spl0_683
| ~ spl0_761
| spl0_1270 ),
inference(rat,[],[s6472,s7009]) ).
cnf(s7206,plain,
( ~ spl0_105
| spl0_634
| spl0_1089 ),
inference(rat,[],[s5645,s5665]) ).
cnf(s7295,plain,
~ spl0_694,
inference(rat,[],[s3278,s1488]) ).
cnf(s7297,plain,
~ spl0_366,
inference(rat,[],[s3531,s7295]) ).
cnf(s7303,plain,
( ~ spl0_46
| ~ spl0_488 ),
inference(rat,[],[s1367,s7297]) ).
cnf(s7577,plain,
( spl0_31
| spl0_59 ),
inference(rat,[],[s75,s2214]) ).
cnf(s7578,plain,
( ~ spl0_18
| spl0_31
| spl0_57 ),
inference(rat,[],[s48,s2214]) ).
cnf(s7581,plain,
( spl0_507
| spl0_686
| ~ spl0_81
| ~ spl0_13 ),
inference(rat,[],[s6040,s6033,s5978,s5986]) ).
cnf(s7583,plain,
( ~ spl0_632
| ~ spl0_637
| ~ spl0_31
| ~ spl0_26
| ~ spl0_81
| ~ spl0_13 ),
inference(rat,[],[s7581,s5693,s6757]) ).
cnf(s7584,plain,
( spl0_511
| ~ spl0_1087
| ~ spl0_698
| ~ spl0_31 ),
inference(rat,[],[s6322,s5481,s6870,s2242]) ).
cnf(s7585,plain,
( ~ spl0_612
| ~ spl0_1087
| ~ spl0_698
| ~ spl0_31 ),
inference(rat,[],[s5480,s6322]) ).
cnf(s7587,plain,
( ~ spl0_614
| spl0_507
| ~ spl0_509
| ~ spl0_624
| ~ spl0_65
| ~ spl0_31
| ~ spl0_26
| ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s5243,s6459,s5507,s6579,s7174,s6371,s7098,s6034,s6521,s7121,s5163,s2434,s5665]) ).
cnf(s7588,plain,
( ~ spl0_616
| spl0_626
| spl0_507 ),
inference(rat,[],[s5179,s2604,s2262]) ).
cnf(s7589,plain,
( ~ spl0_617
| ~ spl0_615
| spl0_507
| ~ spl0_637
| ~ spl0_107
| ~ spl0_7
| ~ spl0_13 ),
inference(rat,[],[s6373,s5994,s5062,s5665]) ).
cnf(s7590,plain,
( spl0_507
| ~ spl0_509
| ~ spl0_1087
| spl0_632
| ~ spl0_637
| ~ spl0_65
| ~ spl0_31
| spl0_19
| ~ spl0_107
| ~ spl0_10
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s6579,s6459,s6371,s5243,s6521,s7121,s7588,s5225,s7057,s7589,s6034,s6017,s6670,s2221,s7587,s5070,s2262,s6561,s6559,s6384,s11,s2277,s2214]) ).
cnf(s7591,plain,
( spl0_634
| ~ spl0_43
| ~ spl0_65
| ~ spl0_31
| ~ spl0_107 ),
inference(rat,[],[s6521,s7121,s2430,s6373,s5665]) ).
cnf(s7592,plain,
( ~ spl0_615
| ~ spl0_634
| ~ spl0_507
| ~ spl0_1087
| ~ spl0_7
| ~ spl0_13 ),
inference(rat,[],[s5672,s6037,s6017]) ).
cnf(s7594,plain,
( ~ spl0_615
| ~ spl0_683
| spl0_507
| ~ spl0_637
| ~ spl0_1087
| ~ spl0_52
| ~ spl0_107
| ~ spl0_7
| ~ spl0_13 ),
inference(rat,[],[s5225,s7057,s2258,s7589,s6017,s6670]) ).
cnf(s7595,plain,
( spl0_507
| ~ spl0_637
| ~ spl0_1087
| spl0_632
| ~ spl0_52
| ~ spl0_41
| ~ spl0_31
| ~ spl0_20
| ~ spl0_107
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2517,s5376,s5532,s7584,s5994,s2433,s2222,s2434,s5225,s2258,s5163,s2221,s7594,s5070,s2262,s6561,s6559,s2214]) ).
cnf(s7596,plain,
( ~ spl0_615
| ~ spl0_507
| ~ spl0_1087
| ~ spl0_52
| ~ spl0_107
| ~ spl0_7
| ~ spl0_13
| ~ spl0_8 ),
inference(rat,[],[s5632,s5692,s5584,s5427,s5699,s2643,s6373,s2258,s7592,s6017,s5665]) ).
cnf(s7597,plain,
( ~ spl0_761
| ~ spl0_683
| ~ spl0_669
| ~ spl0_626
| spl0_1111 ),
inference(rat,[],[s6853,s7056,s7196,s6824]) ).
cnf(s7598,plain,
( spl0_1190
| ~ spl0_62
| ~ spl0_691
| ~ spl0_41
| ~ spl0_7 ),
inference(rat,[],[s6819,s6693,s6725,s6062]) ).
cnf(s7602,plain,
( ~ spl0_38
| ~ spl0_507
| ~ spl0_1087
| ~ spl0_41
| ~ spl0_31
| ~ spl0_26
| ~ spl0_107
| ~ spl0_7
| ~ spl0_13
| ~ spl0_8 ),
inference(rat,[],[s6460,s6824,s6053,s7056,s6040,s6492,s2539,s7598,s6516,s2521,s5376,s7070,s5676,s5564,s2266,s6403,s2258,s6392,s6669,s2434,s2221,s2433,s7596,s1518,s134,s5096,s6033,s2403,s2214]) ).
cnf(s7605,plain,
( spl0_760
| ~ spl0_691
| ~ spl0_683
| spl0_507
| ~ spl0_2 ),
inference(rat,[],[s7196,s6661,s6460,s2417,s2403]) ).
cnf(s7608,plain,
( ~ spl0_507
| ~ spl0_41
| ~ spl0_1087
| ~ spl0_38
| spl0_31
| ~ spl0_642
| ~ spl0_26
| ~ spl0_107
| ~ spl0_7
| ~ spl0_13
| ~ spl0_8 ),
inference(rat,[],[s6053,s6040,s7598,s2662,s6460,s2521,s7597,s6514,s6882,s7070,s5148,s5564,s2266,s2258,s6669,s2434,s2221,s5298,s2433,s5533,s7596,s1518,s76,s5096,s134,s6033,s2403,s2214]) ).
cnf(s7609,plain,
( spl0_1190
| ~ spl0_52
| ~ spl0_73
| ~ spl0_7 ),
inference(rat,[],[s6430,s6449,s6062]) ).
cnf(s7610,plain,
( ~ spl0_507
| ~ spl0_73
| ~ spl0_38
| spl0_31
| ~ spl0_642
| ~ spl0_26
| ~ spl0_107
| ~ spl0_7
| ~ spl0_13
| ~ spl0_8 ),
inference(rat,[],[s6426,s6819,s6946,s7196,s6460,s6053,s6040,s6335,s5700,s5680,s2644,s5693,s5335,s7608,s6033,s6439,s5416,s5298,s5533,s1518,s76,s5096,s7609,s134,s2403]) ).
cnf(s7611,plain,
( ~ spl0_511
| spl0_683
| spl0_31 ),
inference(rat,[],[s5298,s5533,s76]) ).
cnf(s7612,plain,
( ~ spl0_614
| ~ spl0_41
| spl0_46
| spl0_637
| ~ spl0_1192
| ~ spl0_761
| spl0_507
| ~ spl0_52
| ~ spl0_34
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s6824,s7056,s7588,s6714,s7057,s6579,s6672,s5994,s5419,s5532,s6918,s2258,s6034,s5509,s5163,s6561,s6559,s2262,s2521,s2214]) ).
cnf(s7613,plain,
( ~ spl0_41
| spl0_46
| spl0_637
| ~ spl0_1192
| ~ spl0_761
| ~ spl0_1087
| spl0_507
| ~ spl0_52
| ~ spl0_34
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5692,s5427,s2544,s5532,s2258,s6017,s2221,s7612,s6516,s6561,s6559,s2521,s2214]) ).
cnf(s7615,plain,
( ~ spl0_41
| ~ spl0_38
| ~ spl0_507
| ~ spl0_31
| ~ spl0_26
| ~ spl0_68
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5593,s5968,s5631,s2221,s2222,s2434,s5531,s6392,s6403,s5676,s5376,s2517,s6835,s5646,s2433,s7602,s94,s6561,s6559,s5124,s5123,s134,s1518,s2403,s2214]) ).
cnf(s7617,plain,
( ~ spl0_614
| ~ spl0_509
| spl0_1087
| ~ spl0_698
| ~ spl0_31
| ~ spl0_18 ),
inference(rat,[],[s6436,s7121,s7189,s7098,s2434,s5561,s2417,s5665]) ).
cnf(s7618,plain,
( ~ spl0_616
| ~ spl0_683
| ~ spl0_513
| ~ spl0_698
| ~ spl0_31
| ~ spl0_18 ),
inference(rat,[],[s6436,s7121,s7189,s7085,s5225,s2417]) ).
cnf(s7619,plain,
( ~ spl0_761
| ~ spl0_683
| ~ spl0_513
| ~ spl0_65
| ~ spl0_31
| ~ spl0_18 ),
inference(rat,[],[s6800,s6512,s6827,s7196]) ).
cnf(s7620,plain,
( spl0_1190
| ~ spl0_760
| spl0_1087
| ~ spl0_637
| ~ spl0_68
| ~ spl0_18 ),
inference(rat,[],[s6429,s6048,s6774,s6905,s6058,s7154,s2403,s6577]) ).
cnf(s7624,plain,
( ~ spl0_614
| ~ spl0_509
| ~ spl0_38
| ~ spl0_624
| ~ spl0_65
| ~ spl0_31
| ~ spl0_10 ),
inference(rat,[],[s6882,s5243,s5130,s5507,s7174,s6371,s7098,s6521,s7121,s2434,s5665]) ).
cnf(s7625,plain,
( spl0_630
| ~ spl0_1089
| ~ spl0_65
| ~ spl0_31 ),
inference(rat,[],[s6521,s7121]) ).
cnf(s7626,plain,
( ~ spl0_1087
| ~ spl0_38
| spl0_632
| ~ spl0_698
| ~ spl0_507
| ~ spl0_31
| ~ spl0_107
| ~ spl0_10
| ~ spl0_34
| ~ spl0_7
| ~ spl0_13 ),
inference(rat,[],[s5685,s6002,s7625,s6941,s5692,s5427,s6357,s6373,s7592,s2221,s7624,s2433,s7584,s5676,s5335,s2277,s5665,s2214]) ).
cnf(s7627,plain,
( spl0_1087
| spl0_632
| ~ spl0_698
| ~ spl0_50
| ~ spl0_31
| ~ spl0_105
| ~ spl0_18 ),
inference(rat,[],[s5580,s5631,s2222,s7618,s5694,s6896,s5646,s5307,s5588,s2214,s2403]) ).
cnf(s7628,plain,
( spl0_632
| spl0_26
| ~ spl0_50
| ~ spl0_31
| ~ spl0_105
| ~ spl0_107
| ~ spl0_18
| ~ spl0_10
| ~ spl0_34
| ~ spl0_7
| ~ spl0_13 ),
inference(rat,[],[s7056,s6714,s6723,s6062,s6053,s6040,s2613,s6460,s5242,s7597,s6496,s6882,s5243,s5507,s7174,s7098,s7625,s6669,s2434,s2221,s7592,s6579,s7591,s6806,s6505,s5303,s2433,s7626,s7584,s6033,s7627,s2277,s5335,s5588,s6034,s5582,s64,s5676,s5376,s44,s2403,s5665,s2214]) ).
cnf(s7629,plain,
( ~ spl0_617
| ~ spl0_637
| ~ spl0_50 ),
inference(rat,[],[s5580,s5631,s5588]) ).
cnf(s7630,plain,
( ~ spl0_1087
| spl0_686
| ~ spl0_698
| spl0_26
| ~ spl0_50
| ~ spl0_31
| ~ spl0_34 ),
inference(rat,[],[s7098,s7625,s6455,s5225,s2222,s7629,s6863,s6405,s6806,s5261,s5999,s5303,s6040,s7584,s6033,s64,s5676,s5665,s2214,s2403]) ).
cnf(s7631,plain,
( ~ spl0_511
| spl0_683
| spl0_26 ),
inference(rat,[],[s6806,s5303,s64]) ).
cnf(s7633,plain,
( spl0_1270
| ~ spl0_1252
| ~ spl0_1083
| spl0_1111
| spl0_26
| ~ spl0_2 ),
inference(rat,[],[s7056,s6714,s7171,s7015,s6693,s5665]) ).
cnf(s7638,plain,
( spl0_630
| ~ spl0_624
| ~ spl0_31
| ~ spl0_17 ),
inference(rat,[],[s5507,s5243,s7174,s5351,s2221,s7098,s103,s6582,s7625,s6392,s5251,s78,s2214,s5665]) ).
cnf(s7640,plain,
( ~ spl0_1087
| ~ spl0_31
| ~ spl0_17 ),
inference(rat,[],[s6324,s2221,s2222,s2434,s5531,s7638,s2433,s2277,s5335,s6757,s6040,s7584,s6033,s5254,s5376,s49,s2214]) ).
cnf(s7641,plain,
( spl0_632
| ~ spl0_31
| ~ spl0_17 ),
inference(rat,[],[s2434,s2221,s2433,s6324,s2674,s2222,s5225,s7638,s5694,s6896,s2277,s5335,s5251,s5307,s7640,s2214]) ).
cnf(s7642,plain,
( ~ spl0_41
| ~ spl0_632
| ~ spl0_17 ),
inference(rat,[],[s6324,s2221,s2222,s2434,s5531,s2433,s2358,s6392,s103,s5302,s5075,s5254,s49,s2214]) ).
cnf(s7643,plain,
( ~ spl0_31
| ~ spl0_17
| ~ spl0_10
| ~ spl0_7 ),
inference(rat,[],[s5280,s5412,s64,s5290,s5235,s2221,s6371,s5552,s5365,s5608,s30,s7642,s6392,s103,s5302,s2358,s5671,s5075,s7641,s5981,s7640,s5454,s49,s5108,s5254,s2214]) ).
cnf(s7644,plain,
( ~ spl0_511
| spl0_760
| ~ spl0_1087
| ~ spl0_41
| ~ spl0_691
| spl0_31
| ~ spl0_17
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5541,s5346,s2222,s7098,s5531,s2442,s7189,s6533,s6069,s6048,s6333,s6426,s6819,s5238,s7196,s7605,s7611,s6561,s6559,s6330,s94,s2373,s2,s6460,s2214,s5665,s2417,s2403]) ).
cnf(s7645,plain,
( spl0_632
| ~ spl0_38
| spl0_31
| ~ spl0_17
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2222,s7588,s2674,s1518,s7644,s5243,s5351,s6053,s5709,s6040,s110,s6033,s846,s5332,s2277,s5335,s6561,s5254,s5251,s1053,s7303,s49,s5096,s6700,s6330,s4751,s7609,s6415,s76,s2,s94,s134,s5339,s6411,s6559,s2214,s7295]) ).
cnf(s7646,plain,
( ~ spl0_17
| ~ spl0_10
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s1939,s110,s108,s103,s5302,s5075,s7645,s2040,s76,s133,s5339,s7643,s49,s5254,s1828,s6559,s6411,s6330,s94,s2,s2214]) ).
cnf(s7647,plain,
( ~ spl0_38
| ~ spl0_511
| ~ spl0_26
| ~ spl0_1087
| spl0_632
| ~ spl0_31
| ~ spl0_81
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s6273,s5998,s6034,s6176,s5713,s6017,s6148,s5712,s2221,s6403,s7624,s7585,s5676,s5376,s2517,s7598,s6062,s6362,s6051,s5700,s7605,s5680,s2644,s5070,s7595,s7581,s2262,s5102,s7615,s134,s5096,s6561,s6559,s6411,s5124,s7178,s10,s7646,s6695,s70,s6330,s94,s2,s2277,s2433,s5335,s2214,s2403]) ).
cnf(s7648,plain,
( ~ spl0_614
| ~ spl0_634
| ~ spl0_65
| ~ spl0_509
| ~ spl0_26
| ~ spl0_624
| ~ spl0_31
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s6459,s5243,s6579,s5507,s6034,s7174,s6843,s7098,s7625,s2434,s5665]) ).
cnf(s7649,plain,
( ~ spl0_511
| ~ spl0_26
| ~ spl0_1087
| spl0_632
| ~ spl0_31
| ~ spl0_81
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5733,s7590,s5588,s7592,s2221,s7648,s7591,s5676,s5376,s2427,s6516,s6505,s97,s7647,s2433,s6561,s6559,s5124,s7178,s10,s7646,s6695,s70,s6330,s94,s2,s5335,s2277,s2214]) ).
cnf(s7650,plain,
( ~ spl0_26
| ~ spl0_1087
| spl0_632
| ~ spl0_31
| ~ spl0_81
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s7605,s5070,s6051,s2262,s5102,s7598,s7615,s5096,s6505,s5092,s2521,s5376,s7584,s7649,s6561,s6559,s7178,s10,s7646,s6695,s70,s6330,s94,s2,s5335,s2214]) ).
cnf(s7651,plain,
( spl0_26
| spl0_632
| ~ spl0_31
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5733,s7628,s6384,s6561,s6559,s5124,s5123,s7178,s10,s7646,s6695,s70,s6330,s94,s2]) ).
cnf(s7652,plain,
( spl0_632
| ~ spl0_31
| ~ spl0_81
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5685,s6002,s6941,s5976,s6900,s7058,s7625,s6911,s6492,s6843,s2221,s5593,s7620,s5057,s5631,s6664,s6460,s2222,s7619,s7591,s7618,s5676,s5376,s6516,s6505,s97,s7615,s5694,s6896,s5646,s5981,s5307,s7650,s7651,s5335,s6561,s6559,s5124,s5123,s7178,s10,s7646,s6695,s70,s6330,s94,s2,s5665,s2242,s2214,s2403]) ).
cnf(s7653,plain,
( ~ spl0_41
| spl0_633
| ~ spl0_26
| ~ spl0_1087
| ~ spl0_507
| ~ spl0_31
| ~ spl0_68
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5376,s7584,s6516,s5585,s97,s7615,s94]) ).
cnf(s7654,plain,
( ~ spl0_26
| ~ spl0_1087
| ~ spl0_31
| ~ spl0_81
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2222,s5640,s7090,s5365,s5419,s2221,s5632,s7103,s5618,s5235,s30,s7653,s5996,s7583,s7178,s10,s7646,s6695,s6330,s2,s5671,s7581,s6561,s5518,s5577,s6040,s6033,s6757,s7652,s94,s70,s2214]) ).
cnf(s7655,plain,
( ~ spl0_1087
| ~ spl0_31
| ~ spl0_81
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s7630,s5733,s5376,s6384,s44,s7654,s6561,s6559,s70,s6757,s7652]) ).
cnf(s7656,plain,
( ~ spl0_31
| ~ spl0_81
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s6827,s6460,s6474,s7082,s6800,s7633,s6579,s7019,s86,s5280,s5181,s5412,s5160,s7625,s7631,s7048,s7085,s7618,s7084,s2222,s6034,s7629,s5582,s5676,s5733,s5376,s6384,s44,s64,s7583,s5646,s5307,s7655,s7652,s6561,s6559,s5123,s7178,s10,s7646,s6695,s70,s6330,s94,s2,s2403,s2214]) ).
cnf(s7657,plain,
( ~ spl0_81
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2222,s7588,s5994,s5245,s6371,s5235,s5228,s30,s7613,s2644,s5544,s5181,s5160,s7611,s5070,s3502,s7194,s7605,s6460,s2262,s5978,s5986,s6051,s7610,s7609,s2244,s6415,s134,s5096,s76,s133,s2373,s5339,s7656,s6561,s6559,s6411,s5124,s7178,s10,s7646,s6695,s70,s6330,s94,s2,s2214,s2417,s2403]) ).
cnf(s7658,plain,
( ~ spl0_38
| ~ spl0_511
| ~ spl0_1087
| spl0_632
| ~ spl0_31
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s6273,s5998,s6034,s6176,s5713,s6017,s6148,s5712,s2221,s6403,s7587,s7585,s5676,s5376,s2517,s7598,s6062,s6362,s6051,s5700,s7605,s5680,s2644,s5070,s6040,s7595,s2262,s5102,s5978,s7615,s134,s5096,s6561,s6559,s6411,s5124,s7178,s10,s7646,s6695,s70,s6330,s94,s2,s2277,s7651,s6033,s2433,s5335,s2214,s2403]) ).
cnf(s7659,plain,
( ~ spl0_511
| ~ spl0_1087
| spl0_632
| ~ spl0_31
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5733,s7590,s5588,s7592,s2221,s7648,s7591,s5676,s5376,s2427,s6516,s6505,s97,s7658,s2433,s6561,s6559,s5124,s7178,s10,s7646,s6695,s70,s6330,s94,s2,s5335,s2277,s7651,s2214]) ).
cnf(s7660,plain,
( spl0_46
| spl0_632
| ~ spl0_31
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s7605,s5070,s6051,s2262,s5102,s7598,s7615,s5096,s6505,s5092,s2521,s6561,s6559,s7178,s10,s7646,s6695,s70,s6330,s94,s2,s5335,s7651,s2214]) ).
cnf(s7661,plain,
( ~ spl0_1087
| spl0_632
| ~ spl0_31
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s7584,s7659,s5376,s7660]) ).
cnf(s7662,plain,
( spl0_632
| ~ spl0_31
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5976,s6900,s6002,s7058,s7625,s6492,s6843,s5593,s7620,s5600,s5631,s6664,s6460,s86,s2222,s7619,s7615,s7618,s5694,s6896,s5646,s5981,s5307,s7661,s5676,s5376,s7660,s7651,s5335,s6561,s6559,s5123,s7178,s10,s7646,s6695,s70,s6330,s94,s2,s7657,s2242,s2403,s2214]) ).
cnf(s7663,plain,
( ~ spl0_26
| ~ spl0_1087
| ~ spl0_31
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2222,s5640,s7090,s5365,s5419,s2221,s5632,s7173,s5235,s5618,s30,s7653,s5421,s5996,s5693,s7178,s10,s7646,s6695,s6330,s2,s5518,s6335,s5577,s94,s70,s5671,s5990,s6040,s6033,s6757,s7662,s2214]) ).
cnf(s7664,plain,
( ~ spl0_1087
| ~ spl0_31
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s7630,s5733,s5376,s6384,s44,s7663,s6561,s6559,s70,s6757,s7662]) ).
cnf(s7665,plain,
( ~ spl0_31
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s7618,s2222,s7631,s7629,s5160,s5733,s5544,s5376,s6384,s44,s5693,s5646,s5731,s5981,s5307,s7664,s7662,s6561,s6559,s5123,s7178,s10,s7646,s6695,s70,s6330,s2,s7,s5586,s7657,s94,s2214,s2403]) ).
cnf(s7666,plain,
( spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5160,s7611,s5070,s5544,s7605,s2262,s5978,s6051,s7610,s7609,s2244,s6415,s134,s5096,s47,s76,s133,s2373,s5339,s7665,s7,s5586,s7657,s5124,s7178,s10,s7646,s6695,s70,s6561,s6559,s6411,s6330,s94,s2,s2214]) ).
cnf(s7667,plain,
( ~ spl0_507
| ~ spl0_1190
| ~ spl0_38
| ~ spl0_45
| ~ spl0_26
| ~ spl0_1087
| ~ spl0_41
| ~ spl0_5 ),
inference(rat,[],[s6048,s6804,s6440,s6430,s6426,s6946,s5700,s5680,s2644,s6460,s6502,s6053,s6040,s2433,s2539,s5388,s1518,s2174,s6033,s134,s2403]) ).
cnf(s7668,plain,
( spl0_46
| ~ spl0_26
| ~ spl0_1087
| spl0_632
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s7605,s5070,s6051,s2262,s5102,s7667,s7598,s5096,s97,s6516,s2521,s94,s6561,s6559,s7666,s5335,s2214]) ).
cnf(s7669,plain,
( ~ spl0_634
| ~ spl0_507
| ~ spl0_509
| ~ spl0_65
| ~ spl0_26
| ~ spl0_1087
| ~ spl0_624
| ~ spl0_31
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2221,s7648,s7592,s6561,s6559,s2214]) ).
cnf(s7670,plain,
( ~ spl0_26
| ~ spl0_1087
| spl0_632
| ~ spl0_31
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5593,s5631,s2222,s6455,s6843,s7098,s7625,s2430,s7669,s5601,s5999,s5990,s5261,s6040,s6502,s2427,s6505,s2433,s5668,s7584,s5676,s2165,s5376,s7668,s7666,s2411,s5335,s2277,s6033,s2214,s5665,s2403]) ).
cnf(s7671,plain,
( ~ spl0_1087
| spl0_632
| ~ spl0_31
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s6455,s7098,s5601,s7625,s5999,s5261,s2434,s2222,s6040,s2221,s7629,s6502,s5672,s2433,s2427,s5582,s7584,s5676,s6505,s5733,s5376,s5388,s6341,s6384,s44,s6735,s7670,s6033,s6561,s6559,s2174,s7666,s5335,s5665,s2403,s2214]) ).
cnf(s7672,plain,
( spl0_46
| ~ spl0_26
| ~ spl0_507
| spl0_1087
| ~ spl0_41
| ~ spl0_8 ),
inference(rat,[],[s1518,s2433,s97,s6835,s6516,s2521,s2214]) ).
cnf(s7673,plain,
( ~ spl0_1190
| spl0_622
| spl0_1311
| spl0_1111
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s7058,s6492,s6988,s6561,s6559,s2174,s7666]) ).
cnf(s7674,plain,
( ~ spl0_46
| spl0_632
| ~ spl0_31
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5685,s6002,s6941,s5976,s6900,s6062,s7673,s6911,s2221,s5057,s2430,s7625,s6843,s5593,s7080,s3513,s5631,s6664,s6460,s6505,s86,s2222,s7619,s5668,s7618,s5676,s2165,s5376,s7666,s2411,s5335,s10,s7641,s5981,s6559,s5694,s5307,s6896,s7671,s5665,s2242,s2214,s2403]) ).
cnf(s7675,plain,
( spl0_632
| ~ spl0_31
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s7672,s44,s7674,s5981,s7671,s5335,s94,s6561,s6559]) ).
cnf(s7676,plain,
( ~ spl0_1087
| ~ spl0_31
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s7098,s7625,s6455,s5225,s2222,s7629,s5601,s3513,s5999,s7631,s7584,s5676,s86,s5733,s5376,s6341,s6384,s44,s38,s5671,s5990,s5261,s6040,s6033,s6561,s6559,s7666,s6757,s7675,s5665,s2214,s2403]) ).
cnf(s7678,plain,
( ~ spl0_1270
| ~ spl0_700
| ~ spl0_18
| ~ spl0_698
| ~ spl0_513
| ~ spl0_31 ),
inference(rat,[],[s6827,s6460,s6474,s7082,s6800,s2403]) ).
cnf(s7681,plain,
( ~ spl0_683
| ~ spl0_65
| ~ spl0_70
| ~ spl0_50
| spl0_1087
| ~ spl0_31
| ~ spl0_77 ),
inference(rat,[],[s7625,s7098,s5225,s7084,s2222,s7629,s3513,s5665,s2214]) ).
cnf(s7682,plain,
( ~ spl0_616
| spl0_1270
| ~ spl0_18
| ~ spl0_1112
| ~ spl0_65
| ~ spl0_70
| spl0_26
| spl0_1087
| ~ spl0_31
| ~ spl0_77
| ~ spl0_2 ),
inference(rat,[],[s6579,s7633,s7019,s5280,s5412,s7625,s7048,s7085,s7084,s5307,s64]) ).
cnf(s7683,plain,
( ~ spl0_31
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s6579,s7633,s7019,s5280,s5412,s7189,s5077,s6664,s2222,s7682,s7678,s10,s2358,s5160,s7631,s7681,s6034,s5582,s5676,s86,s5733,s5376,s6341,s6384,s44,s64,s38,s5671,s5981,s5307,s7676,s7675,s6561,s6559,s6330,s94,s2,s7666,s2417,s2214]) ).
cnf(s7684,plain,
( ~ spl0_38
| ~ spl0_683
| ~ spl0_511
| ~ spl0_698
| ~ spl0_1087
| ~ spl0_73
| ~ spl0_26
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(rat,[],[s6426,s6819,s6946,s7196,s6460,s6053,s6040,s6335,s5700,s5680,s2644,s5377,s7609,s6358,s134,s5096,s6033,s2403]) ).
cnf(s7685,plain,
( ~ spl0_511
| ~ spl0_698
| spl0_632
| ~ spl0_1087
| ~ spl0_73
| ~ spl0_26
| spl0_31
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(rat,[],[s6040,s6364,s6502,s2687,s3513,s5585,s86,s7684,s7611,s76,s6033]) ).
cnf(s7686,plain,
( spl0_632
| ~ spl0_1087
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s6051,s7609,s7605,s134,s5096,s86,s3513,s6502,s5070,s6040,s2262,s5978,s5669,s6322,s6870,s7685,s5376,s7668,s6561,s6559,s7666,s5339,s6411,s6415,s2,s94,s2244,s76,s7683,s6033,s2242,s2214]) ).
cnf(s7687,plain,
( ~ spl0_511
| ~ spl0_62
| ~ spl0_1167
| ~ spl0_73
| ~ spl0_26
| spl0_31
| ~ spl0_5
| ~ spl0_7 ),
inference(rat,[],[s6426,s6819,s6946,s7196,s6460,s6053,s7609,s134,s5096,s86,s5700,s3513,s5680,s2644,s6502,s6040,s2662,s7611,s76,s2403]) ).
cnf(s7688,plain,
( ~ spl0_616
| ~ spl0_1192
| ~ spl0_761
| spl0_637
| spl0_507
| ~ spl0_2 ),
inference(rat,[],[s6714,s7056,s6579,s6672,s6824,s5245,s6034,s7588,s5486,s2262,s2644]) ).
cnf(s7689,plain,
( ~ spl0_38
| ~ spl0_700
| spl0_511
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2442,s7189,s7098,s5077,s5994,s2222,s7688,s7194,s6460,s6051,s7609,s5181,s1518,s134,s6561,s6559,s6330,s5339,s6411,s6415,s76,s2,s94,s7683,s2417,s5665,s2214,s2403]) ).
cnf(s7690,plain,
( spl0_46
| ~ spl0_1087
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5545,s5263,s86,s7689,s5160,s7687,s7118,s2521,s6559,s7666,s5339,s6411,s6415,s76,s2,s94,s7683,s6033,s7686,s2214]) ).
cnf(s7691,plain,
( ~ spl0_637
| ~ spl0_632
| ~ spl0_1167
| ~ spl0_26
| ~ spl0_5
| ~ spl0_13 ),
inference(rat,[],[s5978,s6040,s5693,s6502]) ).
cnf(s7692,plain,
( ~ spl0_511
| spl0_637
| ~ spl0_698
| ~ spl0_1087
| ~ spl0_73
| ~ spl0_26
| spl0_31
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(rat,[],[s86,s3513,s7684,s7611]) ).
cnf(s7693,plain,
( ~ spl0_1087
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5990,s5669,s5544,s6322,s5160,s6870,s7692,s7691,s5376,s7690,s7686,s6033,s6561,s6559,s7666,s5339,s6411,s6415,s76,s2,s94,s7683,s2242,s2214]) ).
cnf(s7694,plain,
( spl0_3
| ~ spl0_2 ),
inference(rat,[],[s5544,s6335,s7118,s7022,s5489,s5263,s86,s2644,s5160,s1518,s5693,s5416,s5332,s5981,s5307,s7693,s6415,s6700,s76,s5339,s7683,s6330,s6411,s6559,s2,s94,s2214]) ).
cnf(s7695,plain,
( spl0_507
| spl0_760
| ~ spl0_691
| spl0_632
| ~ spl0_2 ),
inference(rat,[],[s5070,s7605,s2262,s5102]) ).
cnf(s7696,plain,
( spl0_46
| ~ spl0_511
| ~ spl0_7
| spl0_632
| ~ spl0_1087
| spl0_5
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s6426,s6430,s6946,s6804,s5421,s6048,s5140,s6822,s5369,s6737,s7695,s6460,s6053,s7598,s6040,s134,s5096,s2539,s6505,s5542,s6516,s5092,s2521,s2622,s7694,s70,s6033,s2433,s5335,s2403,s2214]) ).
cnf(s7697,plain,
( ~ spl0_614
| spl0_626
| ~ spl0_65
| ~ spl0_509
| ~ spl0_31 ),
inference(rat,[],[s5507,s7174,s7098,s7625,s2434,s5665]) ).
cnf(s7698,plain,
( ~ spl0_511
| ~ spl0_1087
| ~ spl0_26
| ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s2222,s7588,s5062,s6037,s2221,s7697,s5242,s5261,s5167,s5140,s7591,s2427,s6505,s5676,s89,s2658,s5376,s7696,s2433,s5415,s5335,s5518,s6727,s2622,s6697,s70,s5124,s7178,s10,s7640,s38,s6845,s7694,s2214,s2403]) ).
cnf(s7699,plain,
( ~ spl0_1087
| ~ spl0_26
| ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s6053,s7695,s7598,s6040,s5096,s3514,s6505,s5070,s5092,s2521,s2262,s5102,s5376,s6737,s7584,s5481,s7698,s6697,s5335,s10,s5518,s7640,s6033,s6727,s2622,s70,s38,s6845,s7694,s2214]) ).
cnf(s7700,plain,
( ~ spl0_509
| spl0_632
| spl0_1087
| ~ spl0_26
| ~ spl0_31
| ~ spl0_3 ),
inference(rat,[],[s5057,s7591,s2221,s2222,s6505,s7617,s7618,s5676,s2658,s5376,s2517,s6835,s5335,s5694,s6896,s5124,s7178,s6013,s2510,s10,s7641,s38,s6845,s5307,s2214]) ).
cnf(s7701,plain,
( spl0_632
| spl0_1087
| ~ spl0_26
| ~ spl0_31
| ~ spl0_3 ),
inference(rat,[],[s7070,s5564,s2266,s2221,s5593,s5242,s5057,s5631,s5167,s5261,s2222,s7591,s5140,s7618,s5676,s89,s5376,s7123,s6505,s1518,s2433,s7700,s6013,s5981,s5124,s2510,s6697,s7178,s10,s5694,s6896,s7641,s5335,s70,s38,s6845,s5307,s2214,s2403]) ).
cnf(s7702,plain,
( spl0_46
| ~ spl0_511
| spl0_1087
| spl0_5
| ~ spl0_26
| spl0_48 ),
inference(rat,[],[s5579,s6013,s30,s2510,s2433,s5269,s6835,s2521,s5307,s2214]) ).
cnf(s7703,plain,
( ~ spl0_7
| ~ spl0_511
| spl0_1087
| ~ spl0_26
| ~ spl0_31
| ~ spl0_3 ),
inference(rat,[],[s2440,s90,s30,s10,s6505,s2510,s2427,s6013,s5693,s5981,s5307,s7701,s2658,s7702,s38,s6845]) ).
cnf(s7704,plain,
( ~ spl0_511
| spl0_1087
| ~ spl0_26
| ~ spl0_31
| ~ spl0_3 ),
inference(rat,[],[s5507,s7174,s7098,s5245,s2221,s5552,s5235,s2644,s5365,s30,s5140,s5454,s7642,s5254,s10,s6697,s7703,s89,s7702,s6727,s2622,s70,s38,s6845,s7701,s5665,s2214]) ).
cnf(s7705,plain,
( ~ spl0_26
| ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s5693,s6013,s5981,s2510,s6697,s10,s2358,s7704,s7701,s5307,s7699,s70,s38,s6845,s7694]) ).
cnf(s7706,plain,
( spl0_46
| ~ spl0_683
| ~ spl0_34
| ~ spl0_511
| spl0_1080
| ~ spl0_507
| ~ spl0_3 ),
inference(rat,[],[s5140,s5369,s5421,s3514,s5542,s2521,s2214]) ).
cnf(s7707,plain,
( ~ spl0_615
| ~ spl0_105
| ~ spl0_688
| ~ spl0_507
| spl0_1092 ),
inference(rat,[],[s7206,s5427,s6037]) ).
cnf(s7708,plain,
( spl0_632
| ~ spl0_1087
| ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s3513,s5140,s5369,s2613,s5242,s6496,s6882,s5243,s86,s7697,s2434,s7624,s2221,s7707,s5676,s5376,s7706,s5123,s5128,s2433,s7631,s7178,s70,s5481,s2174,s6737,s5388,s6738,s6735,s2277,s5335,s2622,s64,s7705,s5415,s7694,s10,s7640,s2214]) ).
cnf(s7709,plain,
( ~ spl0_74
| spl0_71
| ~ spl0_68
| ~ spl0_46
| ~ spl0_89 ),
inference(rat,[],[s5705,s5706]) ).
cnf(s7710,plain,
( ~ spl0_41
| spl0_38
| ~ spl0_614
| ~ spl0_65
| ~ spl0_107
| ~ spl0_511
| ~ spl0_662
| spl0_55
| ~ spl0_19
| ~ spl0_31
| ~ spl0_3 ),
inference(rat,[],[s5175,s5167,s5735,s5242,s7591,s7697,s6505,s2433]) ).
cnf(s7712,plain,
( spl0_1089
| spl0_626
| ~ spl0_614 ),
inference(rat,[],[s5507,s7174,s7098,s5665]) ).
cnf(s7713,plain,
( ~ spl0_511
| ~ spl0_1087
| ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s5280,s5412,s7625,s7712,s5242,s5618,s30,s7710,s5684,s7709,s5290,s2221,s6383,s7707,s7630,s5676,s5123,s5124,s6863,s5376,s7178,s70,s2517,s2174,s5601,s3514,s6737,s5388,s5999,s7631,s6744,s2622,s2411,s64,s6384,s7705,s5415,s7694,s10,s7640,s5075,s5518,s5261,s6040,s6757,s7708,s6033,s2214,s2403]) ).
cnf(s7715,plain,
( spl0_630
| ~ spl0_622
| ~ spl0_14
| ~ spl0_526
| ~ spl0_700
| ~ spl0_662
| ~ spl0_31
| ~ spl0_85 ),
inference(rat,[],[s7177,s2222,s5499,s5077,s7121,s7189,s2214,s2417]) ).
cnf(s7718,plain,
( spl0_659
| ~ spl0_62
| spl0_507
| ~ spl0_700
| ~ spl0_662
| spl0_26 ),
inference(rat,[],[s5280,s5412,s7189,s5077,s2222,s7588,s5242,s5291,s64,s2417,s2214]) ).
cnf(s7719,plain,
( ~ spl0_1087
| ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s5584,s5699,s2643,s5509,s5167,s2221,s7715,s5175,s5692,s5735,s7718,s8,s2521,s5978,s2262,s5376,s6737,s7584,s5160,s5481,s7713,s5261,s6040,s5518,s6757,s7708,s6033,s2622,s7694,s6384,s7705,s2214,s2403]) ).
cnf(s7720,plain,
( ~ spl0_511
| spl0_46
| spl0_1087
| spl0_26
| ~ spl0_31 ),
inference(rat,[],[s5561,s7098,s2221,s5552,s5365,s5608,s5454,s5108,s30,s3514,s2433,s7631,s6835,s5269,s2521,s5665,s2214]) ).
cnf(s7721,plain,
( spl0_622
| ~ spl0_1089
| ~ spl0_614
| ~ spl0_14
| spl0_1087
| ~ spl0_19
| ~ spl0_31 ),
inference(rat,[],[s6941,s6881,s5732,s2266,s5665]) ).
cnf(s7722,plain,
( ~ spl0_614
| ~ spl0_5
| ~ spl0_18
| ~ spl0_14
| spl0_1087
| ~ spl0_19
| ~ spl0_31
| ~ spl0_85 ),
inference(rat,[],[s5499,s5500,s7721,s7098,s5561,s5665]) ).
cnf(s7723,plain,
( spl0_630
| spl0_669
| ~ spl0_615
| ~ spl0_10
| ~ spl0_507
| ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s6037,s6371,s5672,s5499,s6410,s6882,s7121,s2622,s7694,s7705,s2403]) ).
cnf(s7724,plain,
( spl0_632
| ~ spl0_507
| spl0_46
| ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s5499,s5500,s5411,s5532,s7723,s2683,s2221,s7722,s6,s7022,s6013,s2644,s5140,s5369,s3514,s5694,s6738,s6896,s5335,s2622,s7694,s64,s6384,s5307,s5413,s2510,s5269,s2521,s6870,s7720,s7719,s7705,s2214,s2242]) ).
cnf(s7725,plain,
( spl0_5
| ~ spl0_700
| ~ spl0_465
| ~ spl0_14
| ~ spl0_62
| ~ spl0_513
| ~ spl0_61 ),
inference(rat,[],[s86,s5181,s7014,s6013,s7089]) ).
cnf(s7726,plain,
( spl0_693
| ~ spl0_632
| spl0_46
| ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s5077,s2222,s7189,s7085,s5532,s5499,s5500,s6410,s30,s5471,s5365,s2221,s7722,s7725,s5160,s7720,s2510,s5307,s64,s5269,s5413,s2521,s7719,s6384,s7705,s2622,s7694,s2214,s2417,s2403]) ).
cnf(s7727,plain,
( spl0_630
| spl0_669
| ~ spl0_700
| ~ spl0_18
| ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s7085,s5499,s2222,s6410,s5077,s6882,s7121,s7189,s2622,s7694,s7705,s5307,s7719,s2214,s2403,s2417]) ).
cnf(s7728,plain,
( ~ spl0_632
| spl0_46
| ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s2222,s5640,s7085,s5532,s5499,s5500,s5411,s7727,s7726,s2683,s2221,s7722,s7725,s5160,s2622,s7694,s64,s6384,s5307,s5413,s2510,s5269,s2521,s6870,s7720,s7719,s7705,s2214,s2242]) ).
cnf(s7729,plain,
( spl0_46
| ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s7724,s6735,s7728,s7705,s2214]) ).
cnf(s7730,plain,
( spl0_5
| spl0_1093
| ~ spl0_617
| ~ spl0_18
| ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s2221,s5062,s5561,s6371,s7098,s6436,s6784,s6409,s5593,s5128,s6013,s7178,s7705,s5307,s7719,s5376,s7729,s2510,s2214,s5665,s2403]) ).
cnf(s7731,plain,
( ~ spl0_647
| ~ spl0_637
| ~ spl0_507
| ~ spl0_3 ),
inference(rat,[],[s5140,s5369]) ).
cnf(s7732,plain,
( spl0_1190
| ~ spl0_644
| ~ spl0_669
| ~ spl0_637
| ~ spl0_43
| spl0_1111
| ~ spl0_760
| ~ spl0_18
| spl0_1087 ),
inference(rat,[],[s6774,s6429,s6446,s6855,s6693,s6853,s6048,s7056,s6905,s6723,s7154,s2403,s6577]) ).
cnf(s7733,plain,
( spl0_632
| ~ spl0_507
| ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s6474,s6800,s7015,s6988,s7732,s7098,s6436,s5115,s6784,s6409,s6410,s5593,s3513,s6505,s86,s5668,s2165,s2174,s7730,s7080,s5631,s6664,s6460,s2222,s7619,s7618,s10,s5694,s6896,s7641,s5335,s2411,s7705,s5307,s7719,s5676,s5376,s7729,s5665,s2403,s2214]) ).
cnf(s7734,plain,
( ~ spl0_700
| ~ spl0_1089
| ~ spl0_637
| ~ spl0_18
| ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s7019,s6579,s86,s7633,s5181,s7678,s5307,s7041,s7719,s5280,s5412,s6034,s5411,s7625,s5676,s5376,s7729,s64,s7705]) ).
cnf(s7735,plain,
( ~ spl0_617
| spl0_5
| ~ spl0_18
| ~ spl0_507
| ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s7730,s5631]) ).
cnf(s7736,plain,
( spl0_5
| ~ spl0_18
| ~ spl0_507
| ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s5160,s7734,s7631,s7085,s7618,s2222,s7735,s6013,s7705,s5307,s7719,s5376,s7729,s7733,s2510,s2214]) ).
cnf(s7737,plain,
( ~ spl0_1089
| ~ spl0_5
| ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s5499,s5500,s5411,s7625,s2622,s7694,s64,s7705,s5676,s5376,s7729]) ).
cnf(s7738,plain,
( ~ spl0_625
| ~ spl0_615
| ~ spl0_617
| ~ spl0_632 ),
inference(rat,[],[s5635,s5471]) ).
cnf(s7739,plain,
( ~ spl0_18
| ~ spl0_507
| ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s5584,s5699,s7727,s2683,s5160,s6870,s2643,s7631,s6037,s3513,s5672,s5593,s7016,s6410,s7738,s5631,s2221,s2222,s5561,s7085,s7098,s7737,s86,s5668,s2165,s7736,s2411,s64,s7705,s5307,s7719,s7729,s7733,s2242,s2403,s2214,s5665]) ).
cnf(s7740,plain,
( ~ spl0_507
| ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s86,s3513,s50,s7631,s7731,s5369,s2358,s5254,s10,s7739,s7733,s7694,s7705]) ).
cnf(s7741,plain,
( ~ spl0_31
| ~ spl0_2 ),
inference(rat,[],[s6579,s7633,s7019,s5280,s5412,s6034,s7727,s6410,s2683,s7738,s6670,s2222,s86,s2221,s7085,s5668,s7722,s7737,s2165,s8,s6366,s5978,s2510,s7678,s5544,s10,s5160,s2358,s6735,s6742,s6744,s5977,s7740,s5376,s7729,s5307,s7719,s6384,s64,s7705,s2411,s2622,s7694,s2403,s2214]) ).
cnf(s7742,plain,
( spl0_632
| ~ spl0_26
| ~ spl0_18
| ~ spl0_507
| ~ spl0_2 ),
inference(rat,[],[s7696,s2658,s1518,s6697,s2378,s70,s5669,s6737,s5332,s2622,s7694,s7578,s55,s22,s7741]) ).
cnf(s7743,plain,
( spl0_5
| ~ spl0_26
| ~ spl0_18
| ~ spl0_507
| ~ spl0_2 ),
inference(rat,[],[s6426,s6819,s6946,s7196,s6460,s6053,s6040,s7609,s2662,s5502,s7706,s5237,s2521,s7611,s6033,s2658,s1518,s134,s5096,s6439,s6697,s2378,s6013,s70,s7694,s76,s2510,s7578,s7741,s5693,s7742,s2403,s2214]) ).
cnf(s7744,plain,
( ~ spl0_627
| ~ spl0_39
| ~ spl0_1080
| ~ spl0_700 ),
inference(rat,[],[s5077,s7189,s2222,s2672,s5155,s2417,s2214]) ).
cnf(s7745,plain,
( ~ spl0_26
| ~ spl0_18
| ~ spl0_507
| ~ spl0_2 ),
inference(rat,[],[s6505,s2430,s30,s6037,s5365,s5672,s5381,s5103,s2221,s2222,s5561,s7085,s7098,s5499,s5500,s2266,s7744,s5545,s7022,s5263,s86,s1518,s5160,s6870,s6457,s5956,s5307,s6737,s5669,s7743,s2644,s5693,s7742,s79,s2622,s7694,s76,s7741,s2214,s5665,s2242]) ).
cnf(s7746,plain,
( ~ spl0_760
| ~ spl0_62
| ~ spl0_18
| ~ spl0_507
| ~ spl0_2 ),
inference(rat,[],[s6988,s6861,s7015,s6693,s7082,s7080,s64,s2174,s5160,s6457,s5956,s5307,s5332,s6737,s5669,s5236,s76,s2622,s7694,s55,s22,s7741,s5413,s7745,s5665]) ).
cnf(s7747,plain,
( spl0_622
| spl0_1111
| spl0_1192
| spl0_26
| ~ spl0_2 ),
inference(rat,[],[s6853,s6882,s7058,s5411,s6410,s64,s7015,s2403,s5665]) ).
cnf(s7748,plain,
( ~ spl0_1089
| spl0_1192
| spl0_1087
| ~ spl0_5
| spl0_26
| ~ spl0_2 ),
inference(rat,[],[s5499,s5500,s7747,s7041,s2622,s7694]) ).
cnf(s7749,plain,
( ~ spl0_62
| ~ spl0_12
| ~ spl0_18
| ~ spl0_507
| ~ spl0_2 ),
inference(rat,[],[s5077,s7189,s2222,s5428,s7085,s7098,s7748,s6988,s7079,s6827,s6460,s7746,s5502,s2174,s5160,s6457,s5956,s5307,s5332,s6737,s5669,s5236,s7745,s76,s2622,s7694,s55,s22,s7741,s2417,s2214,s5665,s2403]) ).
cnf(s7750,plain,
( spl0_622
| ~ spl0_46
| ~ spl0_612
| spl0_1087
| spl0_26
| ~ spl0_2 ),
inference(rat,[],[s6881,s2221,s8,s6941,s2683,s6514,s6496,s6882,s5411,s6410,s2266,s64,s2214,s5665,s2403]) ).
cnf(s7752,plain,
( spl0_46
| ~ spl0_18
| ~ spl0_507
| ~ spl0_2 ),
inference(rat,[],[s7749,s5237,s2521,s76,s7741,s2214]) ).
cnf(s7753,plain,
( ~ spl0_18
| ~ spl0_507
| ~ spl0_2 ),
inference(rat,[],[s5584,s5699,s2643,s6037,s7016,s7189,s5672,s7738,s5077,s2221,s2222,s5561,s7085,s7098,s5499,s5500,s7750,s7752,s5160,s6870,s6457,s5956,s5332,s5307,s6737,s5669,s5236,s64,s7745,s55,s22,s2622,s7694,s76,s7741,s2417,s2214,s5665,s2242]) ).
cnf(s7754,plain,
( ~ spl0_614
| spl0_633
| spl0_661
| spl0_53
| ~ spl0_3 ),
inference(rat,[],[s5167,s7103,s7173]) ).
cnf(s7755,plain,
( ~ spl0_507
| ~ spl0_2 ),
inference(rat,[],[s2430,s6037,s6582,s2221,s7754,s5415,s6439,s5996,s7022,s7116,s6738,s64,s79,s82,s6505,s5337,s5335,s2358,s7611,s3513,s5263,s86,s2644,s88,s50,s7731,s5369,s5251,s5254,s10,s7753,s7694,s76,s7741,s2214,s2403]) ).
cnf(s7756,plain,
( spl0_632
| ~ spl0_1190
| ~ spl0_62
| ~ spl0_691
| ~ spl0_1167
| ~ spl0_2 ),
inference(rat,[],[s6040,s3514,s6053,s5070,s7695,s5102,s2262,s7755]) ).
cnf(s7757,plain,
( ~ spl0_511
| ~ spl0_1190
| ~ spl0_62
| ~ spl0_691
| ~ spl0_1167
| ~ spl0_2 ),
inference(rat,[],[s6053,s6040,s7605,s2662,s7611,s76,s7741,s7755]) ).
cnf(s7758,plain,
( ~ spl0_647
| ~ spl0_1089
| spl0_637
| ~ spl0_1190
| ~ spl0_1087
| ~ spl0_2 ),
inference(rat,[],[s5609,s5541,s2222,s7688,s7194,s6460,s6053,s6040,s5108,s7755,s6033,s2214,s2417,s2403]) ).
cnf(s7759,plain,
( spl0_622
| ~ spl0_1089
| ~ spl0_700
| ~ spl0_1085
| ~ spl0_1087
| ~ spl0_2 ),
inference(rat,[],[s5409,s6941,s7189,s5692,s5077,s5427,s2222,s2221,s5486,s5163,s2266,s2262,s7755,s5665,s2417,s2214]) ).
cnf(s7760,plain,
( ~ spl0_1089
| spl0_637
| ~ spl0_700
| ~ spl0_1190
| ~ spl0_1085
| ~ spl0_1087
| ~ spl0_2 ),
inference(rat,[],[s5167,s5175,s5245,s5242,s7588,s2222,s5541,s5499,s7759,s5261,s7758,s2622,s7694,s7755,s2644,s2214,s2403]) ).
cnf(s7761,plain,
( spl0_5
| ~ spl0_1087
| ~ spl0_26
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s2222,s5486,s5077,s2258,s7189,s5428,s7098,s7760,s5181,s5160,s7757,s7756,s7609,s5502,s5237,s2521,s5239,s2658,s134,s5096,s6697,s5535,s2378,s70,s7694,s76,s2262,s7755,s7578,s7741,s6033,s2214,s2417,s5665]) ).
cnf(s7763,plain,
( ~ spl0_622
| ~ spl0_1089
| ~ spl0_5
| ~ spl0_85 ),
inference(rat,[],[s5500,s5499]) ).
cnf(s7764,plain,
( ~ spl0_1089
| ~ spl0_696
| ~ spl0_5
| ~ spl0_1087
| ~ spl0_2 ),
inference(rat,[],[s5609,s5541,s2222,s5486,s7763,s2622,s7694,s2262,s7755,s2214]) ).
cnf(s7765,plain,
( ~ spl0_62
| spl0_632
| ~ spl0_5
| ~ spl0_1087
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s6582,s2221,s6640,s5163,s2258,s5532,s7764,s6693,s6725,s7756,s7695,s134,s5096,s86,s3513,s6502,s6040,s5108,s3514,s6033,s5335,s5070,s5102,s2262,s7755,s2214]) ).
cnf(s7766,plain,
( spl0_632
| ~ spl0_5
| ~ spl0_1087
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s8,s5071,s5978,s5261,s5140,s3513,s86,s2658,s89,s2517,s7765,s5070,s5102,s7694,s76,s7741,s2262,s7755,s2403]) ).
cnf(s7767,plain,
( spl0_46
| spl0_659
| spl0_625
| ~ spl0_617
| spl0_647
| ~ spl0_632
| spl0_31 ),
inference(rat,[],[s7189,s6918,s5077,s5457,s5160,s5291,s2662,s2521,s76,s2417,s2214]) ).
cnf(s7768,plain,
( ~ spl0_1089
| ~ spl0_5
| ~ spl0_1087
| ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s2672,s5545,s6521,s5263,s86,s5676,s2658,s5376,s7767,s5692,s5541,s7738,s5427,s2222,s2221,s5108,s5486,s5163,s2266,s7764,s7763,s2622,s7694,s76,s7741,s2262,s7755,s7766,s2214]) ).
cnf(s7769,plain,
( spl0_622
| spl0_46
| ~ spl0_1087
| ~ spl0_26
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s6725,s6693,s7757,s6651,s7605,s5096,s86,s3513,s6502,s6040,s2662,s7611,s30,s5160,s5365,s5077,s5381,s6582,s2222,s2221,s5486,s5163,s2262,s7755,s6033,s7766,s7189,s5428,s5502,s2521,s5237,s76,s7741,s7098,s7768,s7761,s2214,s2417,s5665]) ).
cnf(s7770,plain,
( spl0_1190
| ~ spl0_1252
| ~ spl0_700
| ~ spl0_73
| ~ spl0_644
| spl0_1111
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s7194,s6714,s7082,s7056,s6693,s6723,s6449,s7755,s2417]) ).
cnf(s7771,plain,
( ~ spl0_686
| ~ spl0_626
| ~ spl0_700
| ~ spl0_1112
| ~ spl0_73
| ~ spl0_644
| spl0_1111
| ~ spl0_5
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s7194,s6988,s6053,s7079,s7770,s6579,s5245,s2644,s6502,s7694,s7755,s2174,s2417]) ).
cnf(s7772,plain,
( spl0_46
| ~ spl0_1087
| ~ spl0_26
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s8,s7177,s5978,s5261,s6040,s7771,s7588,s2222,s5094,s5160,s2671,s5545,s5263,s86,s5096,s5283,s6034,s7769,s7189,s5428,s5502,s5237,s2521,s76,s7741,s2262,s7755,s79,s6033,s7766,s6678,s7098,s7768,s7761,s2403,s2214,s2417,s5665]) ).
cnf(s7773,plain,
( ~ spl0_62
| spl0_73
| spl0_31 ),
inference(rat,[],[s1353,s5502]) ).
cnf(s7774,plain,
( ~ spl0_614
| ~ spl0_630
| ~ spl0_662
| spl0_53
| spl0_1089
| ~ spl0_2 ),
inference(rat,[],[s5584,s5699,s2643,s5167,s5242,s5509,s7712,s7694,s2262,s7755]) ).
cnf(s7775,plain,
( ~ spl0_1087
| ~ spl0_26
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s5685,s6002,s6941,s5167,s2430,s6505,s30,s6345,s5365,s7738,s2221,s7774,s7189,s5077,s5381,s2222,s7177,s8,s5978,s5261,s5544,s5160,s2671,s5545,s5263,s86,s2658,s89,s7772,s7098,s7768,s7766,s7761,s7694,s76,s7741,s2262,s7755,s5665,s2214,s2417,s2403]) ).
cnf(s7776,plain,
( spl0_1190
| ~ spl0_73
| ~ spl0_700
| ~ spl0_513
| ~ spl0_18 ),
inference(rat,[],[s7082,s6693,s6460,s6449,s6827,s2403]) ).
cnf(s7777,plain,
( spl0_46
| ~ spl0_1089
| spl0_1087
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s6965,s6985,s7058,s6988,s7079,s7776,s5291,s5457,s7773,s6918,s2521,s2174,s7041,s7738,s2221,s5163,s7189,s5077,s2222,s5486,s7763,s6366,s5977,s2510,s2622,s7694,s2262,s7755,s5160,s6457,s5956,s5307,s76,s5332,s55,s22,s7741,s2214,s2417,s2403]) ).
cnf(s7778,plain,
( ~ spl0_1089
| ~ spl0_26
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s5545,s5263,s86,s2658,s7777,s2672,s7189,s5077,s2222,s5486,s2266,s7763,s2622,s7694,s2262,s6366,s5977,s7755,s2510,s5160,s6457,s5956,s5307,s76,s5332,s7775,s55,s22,s7741,s2417,s2214,s2403]) ).
cnf(s7779,plain,
( ~ spl0_26
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s5685,s6002,s6941,s5167,s2430,s6505,s2658,s89,s2517,s7773,s30,s5428,s6345,s5365,s7189,s7738,s5381,s5077,s2221,s2222,s5561,s7085,s7098,s7778,s5160,s6457,s5956,s5332,s5307,s7775,s7694,s76,s55,s22,s7741,s5665,s2417,s2214]) ).
cnf(s7780,plain,
( spl0_622
| spl0_26
| ~ spl0_2 ),
inference(rat,[],[s2222,s5077,s5486,s6409,s5160,s6744,s6350,s2262,s7755,s2214,s2403]) ).
cnf(s7781,plain,
( ~ spl0_62
| ~ spl0_1087
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s6040,s2613,s7771,s7177,s7588,s2222,s5077,s7189,s5428,s5413,s7773,s5160,s6744,s6350,s2262,s7755,s6034,s7098,s6033,s6678,s7763,s7780,s5236,s7779,s76,s7741,s2622,s7694,s2214,s2417,s5665]) ).
cnf(s7782,plain,
( spl0_659
| ~ spl0_630
| ~ spl0_617
| ~ spl0_662
| spl0_1089
| ~ spl0_632
| ~ spl0_59 ),
inference(rat,[],[s7738,s6345,s2221,s5685,s7712,s6002,s5242,s6941,s2214,s5665]) ).
cnf(s7783,plain,
( ~ spl0_46
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s86,s5097,s7019,s5558,s5167,s5175,s7782,s5280,s5412,s7189,s5077,s2222,s7177,s8,s5978,s5261,s5544,s64,s5160,s6744,s6350,s2262,s7755,s7763,s7780,s5236,s7779,s76,s7741,s2622,s7694,s2417,s2214,s2403]) ).
cnf(s7784,plain,
( ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s2222,s5077,s7085,s7189,s5307,s5428,s7781,s7773,s2521,s7783,s7098,s7763,s7780,s5160,s6744,s6350,s5236,s7779,s2622,s7694,s76,s7741,s2262,s7755,s2214,s2417,s5665]) ).
cnf(s7785,plain,
( ~ spl0_26
| ~ spl0_2 ),
inference(rat,[],[s93,s92,s88,s86,s81,s89,s33,s79,s7694,s76,s7741,s49,s10,s7784]) ).
cnf(s7786,plain,
~ spl0_2,
inference(rat,[],[s2358,s6744,s6350,s7785,s10,s7784,s2262,s7755,s2214]) ).
cnf(s7787,plain,
~ spl0_70,
inference(rat,[],[s5617,s7786]) ).
cnf(s7788,plain,
spl0_1,
inference(rat,[],[s1,s7786]) ).
cnf(s7789,plain,
spl0_38,
inference(rat,[],[s86,s7787]) ).
cnf(s7792,plain,
spl0_637,
inference(rat,[],[s5316,s7788]) ).
cnf(s7793,plain,
~ spl0_631,
inference(rat,[],[s2598,s7788]) ).
cnf(s7794,plain,
~ spl0_649,
inference(rat,[],[s2515,s7788]) ).
cnf(s7796,plain,
spl0_5,
inference(rat,[],[s142,s7788]) ).
cnf(s7802,plain,
( ~ spl0_31
| ~ spl0_844
| spl0_658
| ~ spl0_62
| ~ spl0_26 ),
inference(rat,[],[s2530,s1352,s2596,s5335,s2593,s5467,s2411,s7788]) ).
cnf(s7803,plain,
( spl0_511
| spl0_626
| ~ spl0_52 ),
inference(rat,[],[s2222,s7588,s2674,s1517,s2214,s7793]) ).
cnf(s7804,plain,
( spl0_79
| ~ spl0_62
| ~ spl0_26 ),
inference(rat,[],[s6911,s5685,s2221,s7189,s5365,s5307,s2595,s30,s5681,s2593,s1352,s7802,s2411,s2539,s5999,s7611,s7803,s5242,s3514,s5261,s5108,s5401,s6941,s5607,s5613,s5619,s2534,s5682,s2214,s2417,s7788,s7792,s2403,s5665]) ).
cnf(s7805,plain,
( ~ spl0_79
| ~ spl0_18 ),
inference(rat,[],[s5353,s5356,s2221,s2222,s5561,s7085,s7098,s5307,s5331,s5377,s7788,s2214,s5665,s7792]) ).
cnf(s7806,plain,
( spl0_79
| ~ spl0_26 ),
inference(rat,[],[s2521,s7804,s2516,s2214,s7788]) ).
cnf(s7807,plain,
~ spl0_26,
inference(rat,[],[s110,s2411,s6330,s2593,s2,s94,s2167,s33,s2172,s10,s7805,s2532,s7806,s7788,s7796,s7789]) ).
cnf(s7809,plain,
( ~ spl0_62
| spl0_46 ),
inference(rat,[],[s7577,s5457,s2411,s7090,s2593,s5350,s2222,s2594,s2674,s6870,s7631,s3514,s5108,s5291,s5607,s5619,s7805,s5269,s7807,s2242,s7793,s2214,s7788]) ).
cnf(s7810,plain,
spl0_46,
inference(rat,[],[s7809,s2521,s2214]) ).
cnf(s7812,plain,
spl0_79,
inference(rat,[],[s2516,s7788,s7810]) ).
cnf(s7815,plain,
~ spl0_74,
inference(rat,[],[s2165,s7796,s7810]) ).
cnf(s7821,plain,
~ spl0_18,
inference(rat,[],[s7805,s7812]) ).
cnf(s7825,plain,
~ spl0_847,
inference(rat,[],[s5347,s7788,s7815]) ).
cnf(s7831,plain,
spl0_17,
inference(rat,[],[s10,s7821]) ).
cnf(s7834,plain,
~ spl0_42,
inference(rat,[],[s5190,s7825]) ).
cnf(s7838,plain,
~ spl0_677,
inference(rat,[],[s5354,s7788,s7831]) ).
cnf(s7839,plain,
spl0_647,
inference(rat,[],[s5254,s7831]) ).
cnf(s7840,plain,
spl0_71,
inference(rat,[],[s2172,s7788,s7831]) ).
cnf(s7842,plain,
spl0_41,
inference(rat,[],[s30,s7834]) ).
cnf(s7851,plain,
~ spl0_615,
inference(rat,[],[s5353,s7788,s7838]) ).
cnf(s7854,plain,
spl0_511,
inference(rat,[],[s6902,s7794,s7839]) ).
cnf(s7855,plain,
spl0_630,
inference(rat,[],[s6392,s7840]) ).
cnf(s7858,plain,
spl0_509,
inference(rat,[],[s2433,s7854,s7842]) ).
cnf(s7873,plain,
spl0_614,
inference(rat,[],[s2221,s2214,s7851]) ).
cnf(s7881,plain,
$false,
inference(rat,[],[s2434,s7855,s7858,s7873]) ).
thf(f75301,plain,
$false,
inference(avatar_sat_refutation,[],[s7881]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRA150^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.26 % Computer : n015.cluster.edu
% 0.11/0.26 % Model : x86_64 x86_64
% 0.11/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.26 % Memory : 8046.5625MB
% 0.11/0.26 % OS : Linux 6.8.0-71-generic
% 0.11/0.26 % CPULimit : 300
% 0.11/0.26 % WCLimit : 300
% 0.11/0.26 % DateTime : Tue Sep 29 19:08:18 UTC 2026
% 0.11/0.27 % CPUTime :
% 0.11/0.27 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.32 Running higher-order theorem proving
% 0.26/0.33 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
% 0.33/0.47 % (3974307)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.33/0.47 % (3974314)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2326852744:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.33/0.47 % (3974314)Instruction limit reached!
% 0.33/0.47 % (3974314)------------------------------
% 0.33/0.47 % (3974314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.47 % (3974314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.47 % (3974314)CaDiCaL version: 2.1.3
% 0.33/0.47 % (3974314)Termination reason: Instruction limit
% 0.33/0.47 % (3974314)Termination phase: Saturation
% 0.33/0.47 % (3974314)Time elapsed: 0.002 s
% 0.33/0.47 % (3974314)Peak memory usage: 12 MB
% 0.33/0.47 % (3974314)Instructions burned: 4 (million)
% 0.33/0.47 % (3974318)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.33/0.47 % (3974318)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
% 0.33/0.47 % (3974312)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2378201968:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.33/0.47 % (3974313)lrs+10_16_si=on:nwc=1.5:random_seed=2224070262:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.33/0.47 % (3974315)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=2527726620: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)
% 0.33/0.47 % (3974316)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1763882683:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.33/0.47 % (3974318)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=3952323089:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.33/0.47 % (3974317)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=523221132:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.33/0.47 % (3974320)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3114894112:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.33/0.47 % (3974320)Instruction limit reached!
% 0.33/0.47 % (3974320)------------------------------
% 0.33/0.47 % (3974320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.47 % (3974320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.47 % (3974320)CaDiCaL version: 2.1.3
% 0.33/0.47 % (3974320)Termination reason: Instruction limit
% 0.33/0.47 % (3974320)Termination phase: Saturation
% 0.33/0.47 % (3974320)Time elapsed: 0.002 s
% 0.33/0.47 % (3974320)Peak memory usage: 12 MB
% 0.33/0.47 % (3974320)Instructions burned: 3 (million)
% 0.33/0.47 % (3974313)Instruction limit reached!
% 0.33/0.47 % (3974313)------------------------------
% 0.33/0.47 % (3974313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.47 % (3974313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.47 % (3974313)CaDiCaL version: 2.1.3
% 0.33/0.47 % (3974313)Termination reason: Instruction limit
% 0.33/0.47 % (3974313)Termination phase: Saturation
% 0.33/0.47 % (3974313)Time elapsed: 0.016 s
% 0.33/0.47 % (3974313)Peak memory usage: 12 MB
% 0.33/0.47 % (3974313)Instructions burned: 18 (million)
% 0.33/0.47 % (3974316)Instruction limit reached!
% 0.33/0.47 % (3974316)------------------------------
% 0.33/0.47 % (3974316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.47 % (3974316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.47 % (3974316)CaDiCaL version: 2.1.3
% 0.33/0.47 % (3974316)Termination reason: Instruction limit
% 0.33/0.47 % (3974316)Termination phase: Saturation
% 0.33/0.47 % (3974316)Time elapsed: 0.020 s
% 0.33/0.47 % (3974316)Peak memory usage: 12 MB
% 0.33/0.47 % (3974316)Instructions burned: 26 (million)
% 0.33/0.47 % (3974328)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2448679382:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.03/0.49 % (3974328)Instruction limit reached!
% 1.03/0.49 % (3974328)------------------------------
% 1.03/0.49 % (3974328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.49 % (3974328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.49 % (3974328)CaDiCaL version: 2.1.3
% 1.03/0.49 % (3974328)Termination reason: Instruction limit
% 1.03/0.49 % (3974328)Termination phase: Saturation
% 1.03/0.49 % (3974328)Time elapsed: 0.002 s
% 1.03/0.49 % (3974328)Peak memory usage: 12 MB
% 1.03/0.49 % (3974328)Instructions burned: 6 (million)
% 1.03/0.49 % (3974329)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.03/0.49 % (3974329)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2589015749:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.03/0.49 % (3974330)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=640146926:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.03/0.49 % (3974329)Instruction limit reached!
% 1.03/0.49 % (3974329)------------------------------
% 1.03/0.49 % (3974329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.49 % (3974329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.49 % (3974329)CaDiCaL version: 2.1.3
% 1.03/0.49 % (3974329)Termination reason: Instruction limit
% 1.03/0.49 % (3974329)Termination phase: Saturation
% 1.03/0.49 % (3974329)Time elapsed: 0.005 s
% 1.03/0.49 % (3974329)Peak memory usage: 12 MB
% 1.03/0.49 % (3974329)Instructions burned: 7 (million)
% 1.03/0.49 % (3974317)Instruction limit reached!
% 1.03/0.49 % (3974317)------------------------------
% 1.03/0.49 % (3974317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.49 % (3974317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.49 % (3974317)CaDiCaL version: 2.1.3
% 1.03/0.49 % (3974317)Termination reason: Instruction limit
% 1.03/0.49 % (3974317)Termination phase: Saturation
% 1.03/0.49 % (3974317)Time elapsed: 0.047 s
% 1.03/0.49 % (3974317)Peak memory usage: 12 MB
% 1.03/0.49 % (3974317)Instructions burned: 76 (million)
% 1.03/0.49 % (3974312)Instruction limit reached!
% 1.03/0.49 % (3974312)------------------------------
% 1.03/0.49 % (3974312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.49 % (3974312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.49 % (3974312)CaDiCaL version: 2.1.3
% 1.03/0.49 % (3974312)Termination reason: Instruction limit
% 1.03/0.49 % (3974312)Termination phase: Saturation
% 1.03/0.49 % (3974312)Time elapsed: 0.050 s
% 1.03/0.49 % (3974312)Peak memory usage: 12 MB
% 1.03/0.49 % (3974312)Instructions burned: 88 (million)
% 1.03/0.49 % (3974330)Instruction limit reached!
% 1.03/0.49 % (3974330)------------------------------
% 1.03/0.49 % (3974330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.49 % (3974330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.49 % (3974330)CaDiCaL version: 2.1.3
% 1.03/0.49 % (3974330)Termination reason: Instruction limit
% 1.03/0.49 % (3974330)Termination phase: Saturation
% 1.03/0.49 % (3974330)Time elapsed: 0.007 s
% 1.03/0.49 % (3974330)Peak memory usage: 12 MB
% 1.03/0.49 % (3974330)Instructions burned: 12 (million)
% 1.03/0.49 % (3974332)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
% 1.03/0.49 % (3974332)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.03/0.49 % (3974332)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1043134630:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.03/0.49 % (3974335)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=2363259724:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.03/0.49 % (3974337)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.03/0.52 % (3974336)lrs+10_1_si=on:cs=on:random_seed=3833487481:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.03/0.52 % (3974338)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3357770192:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.03/0.52 % (3974337)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=1999800529:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.03/0.52 % (3974338)Refutation not found, incomplete strategy
% 1.03/0.52 % (3974338)------------------------------
% 1.03/0.52 % (3974338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.52 % (3974338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.52 % (3974338)CaDiCaL version: 2.1.3
% 1.03/0.52 % (3974338)Termination reason: Refutation not found, incomplete strategy
% 1.03/0.52 % (3974338)Time elapsed: 0.001 s
% 1.03/0.52 % (3974338)Peak memory usage: 11 MB
% 1.03/0.52 % (3974338)------------------------------
% 1.03/0.52 % (3974338)------------------------------
% 1.03/0.52 % (3974337)Instruction limit reached!
% 1.03/0.52 % (3974337)------------------------------
% 1.03/0.52 % (3974337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.52 % (3974337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.52 % (3974337)CaDiCaL version: 2.1.3
% 1.03/0.52 % (3974337)Termination reason: Instruction limit
% 1.03/0.52 % (3974337)Termination phase: Saturation
% 1.03/0.52 % (3974337)Time elapsed: 0.002 s
% 1.03/0.52 % (3974337)Peak memory usage: 11 MB
% 1.03/0.52 % (3974337)Instructions burned: 2 (million)
% 1.03/0.52 % (3974336)Instruction limit reached!
% 1.03/0.52 % (3974336)------------------------------
% 1.03/0.52 % (3974336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.52 % (3974336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.52 % (3974336)CaDiCaL version: 2.1.3
% 1.03/0.52 % (3974336)Termination reason: Instruction limit
% 1.03/0.52 % (3974336)Termination phase: Saturation
% 1.03/0.52 % (3974336)Time elapsed: 0.006 s
% 1.03/0.52 % (3974336)Peak memory usage: 12 MB
% 1.03/0.52 % (3974336)Instructions burned: 10 (million)
% 1.03/0.52 % (3974318)Instruction limit reached!
% 1.03/0.52 % (3974318)------------------------------
% 1.03/0.52 % (3974318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.52 % (3974318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.52 % (3974318)CaDiCaL version: 2.1.3
% 1.03/0.52 % (3974318)Termination reason: Instruction limit
% 1.03/0.52 % (3974318)Termination phase: Saturation
% 1.03/0.52 % (3974318)Time elapsed: 0.075 s
% 1.03/0.52 % (3974318)Peak memory usage: 12 MB
% 1.03/0.52 % (3974318)Instructions burned: 165 (million)
% 1.03/0.52 % (3974335)Instruction limit reached!
% 1.03/0.52 % (3974335)------------------------------
% 1.03/0.52 % (3974335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.52 % (3974335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.52 % (3974335)CaDiCaL version: 2.1.3
% 1.03/0.52 % (3974335)Termination reason: Instruction limit
% 1.03/0.52 % (3974335)Termination phase: Saturation
% 1.03/0.52 % (3974335)Time elapsed: 0.023 s
% 1.03/0.52 % (3974335)Peak memory usage: 12 MB
% 1.03/0.52 % (3974335)Instructions burned: 88 (million)
% 1.03/0.52 % (3974344)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3281651297:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.03/0.52 % (3974344)Refutation not found, incomplete strategy
% 1.03/0.52 % (3974344)------------------------------
% 1.03/0.52 % (3974344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.52 % (3974344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.52 % (3974344)CaDiCaL version: 2.1.3
% 1.03/0.52 % (3974344)Termination reason: Refutation not found, incomplete strategy
% 1.03/0.52 % (3974344)Time elapsed: 0.001 s
% 1.03/0.52 % (3974344)Peak memory usage: 11 MB
% 1.03/0.52 % (3974332)Instruction limit reached!
% 1.03/0.52 % (3974332)------------------------------
% 1.03/0.52 % (3974332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.52 % (3974332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.52 % (3974332)CaDiCaL version: 2.1.3
% 1.03/0.56 % (3974332)Termination reason: Instruction limit
% 1.03/0.56 % (3974332)Termination phase: Saturation
% 1.03/0.56 % (3974332)Time elapsed: 0.027 s
% 1.03/0.56 % (3974332)Peak memory usage: 12 MB
% 1.03/0.56 % (3974332)Instructions burned: 29 (million)
% 1.03/0.56 % (3974344)------------------------------
% 1.03/0.56 % (3974344)------------------------------
% 1.03/0.56 % (3974345)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4226250072:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.03/0.56 % (3974346)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4147817681:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.03/0.56 % (3974345)Refutation not found, incomplete strategy
% 1.03/0.56 % (3974345)------------------------------
% 1.03/0.56 % (3974345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.56 % (3974345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.56 % (3974345)CaDiCaL version: 2.1.3
% 1.03/0.56 % (3974345)Termination reason: Refutation not found, incomplete strategy
% 1.03/0.56 % (3974345)Time elapsed: 0.001 s
% 1.03/0.56 % (3974345)Peak memory usage: 11 MB
% 1.03/0.56 % (3974345)------------------------------
% 1.03/0.56 % (3974345)------------------------------
% 1.03/0.56 % (3974347)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2803325574:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.03/0.56 % (3974347)Refutation not found, incomplete strategy
% 1.03/0.56 % (3974347)------------------------------
% 1.03/0.56 % (3974347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.56 % (3974347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.56 % (3974347)CaDiCaL version: 2.1.3
% 1.03/0.56 % (3974347)Termination reason: Refutation not found, incomplete strategy
% 1.03/0.56 % (3974347)Time elapsed: 0.001 s
% 1.03/0.56 % (3974347)Peak memory usage: 11 MB
% 1.03/0.56 % (3974347)------------------------------
% 1.03/0.56 % (3974347)------------------------------
% 1.03/0.56 % (3974348)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1478157722:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.03/0.56 % (3974346)Instruction limit reached!
% 1.03/0.56 % (3974346)------------------------------
% 1.03/0.56 % (3974346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.56 % (3974346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.56 % (3974346)CaDiCaL version: 2.1.3
% 1.03/0.56 % (3974346)Termination reason: Instruction limit
% 1.03/0.56 % (3974346)Termination phase: Saturation
% 1.03/0.56 % (3974346)Time elapsed: 0.009 s
% 1.03/0.56 % (3974346)Peak memory usage: 12 MB
% 1.03/0.56 % (3974346)Instructions burned: 16 (million)
% 1.03/0.56 % (3974348)Instruction limit reached!
% 1.03/0.56 % (3974348)------------------------------
% 1.03/0.56 % (3974348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.56 % (3974348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.56 % (3974348)CaDiCaL version: 2.1.3
% 1.03/0.56 % (3974348)Termination reason: Instruction limit
% 1.03/0.56 % (3974348)Termination phase: Saturation
% 1.03/0.56 % (3974348)Time elapsed: 0.005 s
% 1.03/0.56 % (3974348)Peak memory usage: 12 MB
% 1.03/0.56 % (3974348)Instructions burned: 18 (million)
% 1.03/0.56 % (3974353)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2862526027:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.03/0.56 % (3974354)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2512158428:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.03/0.56 % (3974352)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1442981627:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.03/0.56 % (3974358)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.03/0.56 % (3974358)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.77/0.58 % (3974357)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=777437915:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.77/0.58 % (3974352)Refutation not found, incomplete strategy
% 1.77/0.58 % (3974352)------------------------------
% 1.77/0.58 % (3974352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.58 % (3974352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.58 % (3974352)CaDiCaL version: 2.1.3
% 1.77/0.58 % (3974352)Termination reason: Refutation not found, incomplete strategy
% 1.77/0.58 % (3974352)Time elapsed: 0.001 s
% 1.77/0.58 % (3974352)Peak memory usage: 11 MB
% 1.77/0.58 % (3974359)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.77/0.58 % (3974352)------------------------------
% 1.77/0.58 % (3974352)------------------------------
% 1.77/0.58 % (3974353)Instruction limit reached!
% 1.77/0.58 % (3974353)------------------------------
% 1.77/0.58 % (3974353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.58 % (3974353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.58 % (3974353)CaDiCaL version: 2.1.3
% 1.77/0.58 % (3974353)Termination reason: Instruction limit
% 1.77/0.58 % (3974353)Termination phase: Saturation
% 1.77/0.58 % (3974353)Time elapsed: 0.007 s
% 1.77/0.58 % (3974353)Peak memory usage: 12 MB
% 1.77/0.58 % (3974353)Instructions burned: 28 (million)
% 1.77/0.58 % (3974358)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=584879121:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.77/0.58 % (3974359)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=2025701693:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.77/0.58 % (3974354)Instruction limit reached!
% 1.77/0.58 % (3974354)------------------------------
% 1.77/0.58 % (3974354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.58 % (3974354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.58 % (3974354)CaDiCaL version: 2.1.3
% 1.77/0.58 % (3974354)Termination reason: Instruction limit
% 1.77/0.58 % (3974354)Termination phase: Saturation
% 1.77/0.58 % (3974354)Time elapsed: 0.012 s
% 1.77/0.58 % (3974354)Peak memory usage: 12 MB
% 1.77/0.58 % (3974354)Instructions burned: 25 (million)
% 1.77/0.58 % (3974359)Instruction limit reached!
% 1.77/0.58 % (3974359)------------------------------
% 1.77/0.58 % (3974359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.58 % (3974359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.58 % (3974359)CaDiCaL version: 2.1.3
% 1.77/0.58 % (3974359)Termination reason: Instruction limit
% 1.77/0.58 % (3974359)Termination phase: Saturation
% 1.77/0.58 % (3974359)Time elapsed: 0.005 s
% 1.77/0.58 % (3974359)Peak memory usage: 12 MB
% 1.77/0.58 % (3974359)Instructions burned: 8 (million)
% 1.77/0.58 % (3974365)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1397648280:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.77/0.58 % (3974358)Instruction limit reached!
% 1.77/0.58 % (3974358)------------------------------
% 1.77/0.58 % (3974358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.58 % (3974358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.58 % (3974358)CaDiCaL version: 2.1.3
% 1.77/0.58 % (3974358)Termination reason: Instruction limit
% 1.77/0.58 % (3974358)Termination phase: Saturation
% 1.77/0.58 % (3974358)Time elapsed: 0.009 s
% 1.77/0.58 % (3974358)Peak memory usage: 12 MB
% 1.77/0.58 % (3974358)Instructions burned: 14 (million)
% 1.77/0.58 % (3974365)Instruction limit reached!
% 1.77/0.58 % (3974365)------------------------------
% 1.77/0.58 % (3974365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.58 % (3974365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.58 % (3974365)CaDiCaL version: 2.1.3
% 1.77/0.58 % (3974365)Termination reason: Instruction limit
% 1.77/0.58 % (3974365)Termination phase: Saturation
% 1.77/0.58 % (3974365)Time elapsed: 0.003 s
% 1.77/0.58 % (3974365)Peak memory usage: 12 MB
% 1.77/0.58 % (3974365)Instructions burned: 10 (million)
% 1.77/0.58 % (3974364)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=1255214435:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.77/0.61 % (3974357)Instruction limit reached!
% 1.77/0.61 % (3974357)------------------------------
% 1.77/0.61 % (3974357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.61 % (3974357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.61 % (3974357)CaDiCaL version: 2.1.3
% 1.77/0.61 % (3974357)Termination reason: Instruction limit
% 1.77/0.61 % (3974357)Termination phase: Saturation
% 1.77/0.61 % (3974357)Time elapsed: 0.024 s
% 1.77/0.61 % (3974357)Peak memory usage: 12 MB
% 1.77/0.61 % (3974357)Instructions burned: 62 (million)
% 1.77/0.61 % (3974372)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2420056183:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.77/0.61 % (3974369)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=132314134:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.77/0.61 % (3974371)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2199283023:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.77/0.61 % (3974369)Instruction limit reached!
% 1.77/0.61 % (3974369)------------------------------
% 1.77/0.61 % (3974369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.61 % (3974369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.61 % (3974369)CaDiCaL version: 2.1.3
% 1.77/0.61 % (3974369)Termination reason: Instruction limit
% 1.77/0.61 % (3974369)Termination phase: Saturation
% 1.77/0.61 % (3974369)Time elapsed: 0.011 s
% 1.77/0.61 % (3974369)Peak memory usage: 12 MB
% 1.77/0.61 % (3974369)Instructions burned: 22 (million)
% 1.77/0.61 % (3974364)Instruction limit reached!
% 1.77/0.61 % (3974364)------------------------------
% 1.77/0.61 % (3974364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.61 % (3974364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.61 % (3974364)CaDiCaL version: 2.1.3
% 1.77/0.61 % (3974364)Termination reason: Instruction limit
% 1.77/0.61 % (3974364)Termination phase: Saturation
% 1.77/0.61 % (3974364)Time elapsed: 0.019 s
% 1.77/0.61 % (3974364)Peak memory usage: 12 MB
% 1.77/0.61 % (3974364)Instructions burned: 32 (million)
% 1.77/0.61 % (3974374)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3703161677:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.77/0.61 % (3974368)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2202600026:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.77/0.61 % (3974374)Refutation not found, incomplete strategy
% 1.77/0.61 % (3974374)------------------------------
% 1.77/0.61 % (3974374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.61 % (3974374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.61 % (3974374)CaDiCaL version: 2.1.3
% 1.77/0.61 % (3974374)Termination reason: Refutation not found, incomplete strategy
% 1.77/0.61 % (3974374)Time elapsed: 0.001 s
% 1.77/0.61 % (3974374)Peak memory usage: 11 MB
% 1.77/0.61 % (3974374)------------------------------
% 1.77/0.61 % (3974374)------------------------------
% 1.77/0.61 % (3974372)Instruction limit reached!
% 1.77/0.61 % (3974372)------------------------------
% 1.77/0.61 % (3974372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.77/0.61 % (3974372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.77/0.61 % (3974372)CaDiCaL version: 2.1.3
% 1.77/0.61 % (3974372)Termination reason: Instruction limit
% 1.77/0.61 % (3974372)Termination phase: Saturation
% 1.77/0.61 % (3974372)Time elapsed: 0.030 s
% 1.77/0.61 % (3974372)Peak memory usage: 12 MB
% 1.77/0.61 % (3974372)Instructions burned: 144 (million)
% 1.77/0.61 % (3974378)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1137685270:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.77/0.61 % (3974379)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.77/0.61 % (3974383)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=113849736:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 2.13/0.66 % (3974368)Instruction limit reached!
% 2.13/0.66 % (3974368)------------------------------
% 2.13/0.66 % (3974368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.66 % (3974368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.66 % (3974368)CaDiCaL version: 2.1.3
% 2.13/0.66 % (3974368)Termination reason: Instruction limit
% 2.13/0.66 % (3974368)Termination phase: Saturation
% 2.13/0.66 % (3974368)Time elapsed: 0.020 s
% 2.13/0.66 % (3974368)Peak memory usage: 11 MB
% 2.13/0.66 % (3974368)Instructions burned: 23 (million)
% 2.13/0.66 % (3974383)Refutation not found, incomplete strategy
% 2.13/0.66 % (3974383)------------------------------
% 2.13/0.66 % (3974383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.66 % (3974383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.66 % (3974383)CaDiCaL version: 2.1.3
% 2.13/0.66 % (3974383)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.66 % (3974383)Time elapsed: 0.001 s
% 2.13/0.66 % (3974383)Peak memory usage: 11 MB
% 2.13/0.66 % (3974379)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=470358713:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 2.13/0.66 % (3974383)------------------------------
% 2.13/0.66 % (3974383)------------------------------
% 2.13/0.66 % (3974384)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=3762789115:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.13/0.66 % (3974384)Refutation not found, incomplete strategy
% 2.13/0.66 % (3974384)------------------------------
% 2.13/0.66 % (3974384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.66 % (3974384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.66 % (3974384)CaDiCaL version: 2.1.3
% 2.13/0.66 % (3974384)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.66 % (3974384)Time elapsed: 0.0000 s
% 2.13/0.66 % (3974384)Peak memory usage: 11 MB
% 2.13/0.66 % (3974384)------------------------------
% 2.13/0.66 % (3974384)------------------------------
% 2.13/0.66 % (3974379)Instruction limit reached!
% 2.13/0.66 % (3974379)------------------------------
% 2.13/0.66 % (3974379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.66 % (3974379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.66 % (3974379)CaDiCaL version: 2.1.3
% 2.13/0.66 % (3974379)Termination reason: Instruction limit
% 2.13/0.66 % (3974379)Termination phase: Saturation
% 2.13/0.66 % (3974379)Time elapsed: 0.006 s
% 2.13/0.66 % (3974379)Peak memory usage: 12 MB
% 2.13/0.66 % (3974379)Instructions burned: 8 (million)
% 2.13/0.66 % (3974378)Instruction limit reached!
% 2.13/0.66 % (3974378)------------------------------
% 2.13/0.66 % (3974378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.66 % (3974378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.66 % (3974378)CaDiCaL version: 2.1.3
% 2.13/0.66 % (3974378)Termination reason: Instruction limit
% 2.13/0.66 % (3974378)Termination phase: Saturation
% 2.13/0.66 % (3974378)Time elapsed: 0.020 s
% 2.13/0.66 % (3974378)Peak memory usage: 12 MB
% 2.13/0.66 % (3974378)Instructions burned: 42 (million)
% 2.13/0.66 % (3974391)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=354200037:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.13/0.66 % (3974389)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.13/0.66 % (3974391)Refutation not found, incomplete strategy
% 2.13/0.66 % (3974391)------------------------------
% 2.13/0.66 % (3974391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.13/0.66 % (3974391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.13/0.66 % (3974391)CaDiCaL version: 2.1.3
% 2.13/0.66 % (3974391)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.66 % (3974391)Time elapsed: 0.001 s
% 2.13/0.66 % (3974391)Peak memory usage: 12 MB
% 2.13/0.66 % (3974391)Instructions burned: 3 (million)
% 2.13/0.66 % (3974391)------------------------------
% 2.29/0.72 % (3974391)------------------------------
% 2.29/0.72 % (3974389)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=546458608:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.29/0.72 % (3974389)Refutation not found, incomplete strategy
% 2.29/0.72 % (3974389)------------------------------
% 2.29/0.72 % (3974389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.72 % (3974389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.72 % (3974389)CaDiCaL version: 2.1.3
% 2.29/0.72 % (3974389)Termination reason: Refutation not found, incomplete strategy
% 2.29/0.72 % (3974389)Time elapsed: 0.001 s
% 2.29/0.72 % (3974389)Peak memory usage: 11 MB
% 2.29/0.72 % (3974389)Instructions burned: 2 (million)
% 2.29/0.72 % (3974389)------------------------------
% 2.29/0.72 % (3974389)------------------------------
% 2.29/0.72 % (3974390)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4274603296:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.29/0.72 % (3974395)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=118159344:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.29/0.72 % (3974392)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=2219872605:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.29/0.72 % (3974393)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=3150770083:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.29/0.72 % (3974397)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2481750986:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.29/0.72 % (3974397)Refutation not found, incomplete strategy
% 2.29/0.72 % (3974397)------------------------------
% 2.29/0.72 % (3974397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.72 % (3974397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.72 % (3974397)CaDiCaL version: 2.1.3
% 2.29/0.72 % (3974397)Termination reason: Refutation not found, incomplete strategy
% 2.29/0.72 % (3974397)Time elapsed: 0.001 s
% 2.29/0.72 % (3974397)Peak memory usage: 11 MB
% 2.29/0.72 % (3974397)Instructions burned: 1 (million)
% 2.29/0.72 % (3974395)Instruction limit reached!
% 2.29/0.72 % (3974395)------------------------------
% 2.29/0.72 % (3974395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.72 % (3974395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.72 % (3974395)CaDiCaL version: 2.1.3
% 2.29/0.72 % (3974395)Termination reason: Instruction limit
% 2.29/0.72 % (3974395)Termination phase: Saturation
% 2.29/0.72 % (3974395)Time elapsed: 0.015 s
% 2.29/0.72 % (3974395)Peak memory usage: 12 MB
% 2.29/0.72 % (3974395)Instructions burned: 49 (million)
% 2.29/0.72 % (3974397)------------------------------
% 2.29/0.72 % (3974397)------------------------------
% 2.29/0.72 % (3974390)Instruction limit reached!
% 2.29/0.72 % (3974390)------------------------------
% 2.29/0.72 % (3974390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.72 % (3974390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.72 % (3974390)CaDiCaL version: 2.1.3
% 2.29/0.72 % (3974390)Termination reason: Instruction limit
% 2.29/0.72 % (3974390)Termination phase: Saturation
% 2.29/0.72 % (3974390)Time elapsed: 0.021 s
% 2.29/0.72 % (3974390)Peak memory usage: 12 MB
% 2.29/0.72 % (3974390)Instructions burned: 22 (million)
% 2.29/0.72 % (3974315)Instruction limit reached!
% 2.29/0.72 % (3974315)------------------------------
% 2.29/0.72 % (3974315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.72 % (3974315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.72 % (3974315)CaDiCaL version: 2.1.3
% 2.29/0.72 % (3974315)Termination reason: Instruction limit
% 2.29/0.72 % (3974315)Termination phase: Saturation
% 2.29/0.72 % (3974315)Time elapsed: 0.238 s
% 2.29/0.72 % (3974315)Peak memory usage: 13 MB
% 2.29/0.76 % (3974315)Instructions burned: 635 (million)
% 2.29/0.76 % (3974403)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2859068988: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)
% 2.29/0.76 % (3974404)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.29/0.76 % (3974406)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1540325430:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.29/0.76 % (3974404)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=344075735:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.29/0.76 % (3974406)Instruction limit reached!
% 2.29/0.76 % (3974406)------------------------------
% 2.29/0.76 % (3974406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.76 % (3974406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.76 % (3974406)CaDiCaL version: 2.1.3
% 2.29/0.76 % (3974406)Termination reason: Instruction limit
% 2.29/0.76 % (3974406)Termination phase: Saturation
% 2.29/0.76 % (3974406)Time elapsed: 0.004 s
% 2.29/0.76 % (3974406)Peak memory usage: 12 MB
% 2.29/0.76 % (3974406)Instructions burned: 15 (million)
% 2.29/0.76 % (3974403)Instruction limit reached!
% 2.29/0.76 % (3974403)------------------------------
% 2.29/0.76 % (3974403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.76 % (3974403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.76 % (3974403)CaDiCaL version: 2.1.3
% 2.29/0.76 % (3974403)Termination reason: Instruction limit
% 2.29/0.76 % (3974403)Termination phase: Saturation
% 2.29/0.76 % (3974403)Time elapsed: 0.011 s
% 2.29/0.76 % (3974403)Peak memory usage: 11 MB
% 2.29/0.76 % (3974403)Instructions burned: 21 (million)
% 2.29/0.76 % (3974407)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=2325041076:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.29/0.76 % (3974411)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1440233505:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.29/0.76 % (3974411)Refutation not found, incomplete strategy
% 2.29/0.76 % (3974411)------------------------------
% 2.29/0.76 % (3974411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.76 % (3974411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.76 % (3974411)CaDiCaL version: 2.1.3
% 2.29/0.76 % (3974411)Termination reason: Refutation not found, incomplete strategy
% 2.29/0.76 % (3974411)Time elapsed: 0.0000 s
% 2.29/0.76 % (3974411)Peak memory usage: 11 MB
% 2.29/0.76 % (3974411)Instructions burned: 1 (million)
% 2.29/0.76 % (3974411)------------------------------
% 2.29/0.76 % (3974411)------------------------------
% 2.29/0.76 % (3974412)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3169413247:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.29/0.76 % (3974415)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3889964642:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 2.29/0.76 % (3974412)Instruction limit reached!
% 2.29/0.76 % (3974412)------------------------------
% 2.29/0.76 % (3974412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.76 % (3974412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.76 % (3974412)CaDiCaL version: 2.1.3
% 2.29/0.76 % (3974412)Termination reason: Instruction limit
% 2.29/0.76 % (3974412)Termination phase: Saturation
% 2.29/0.76 % (3974412)Time elapsed: 0.016 s
% 2.29/0.76 % (3974412)Peak memory usage: 12 MB
% 2.29/0.76 % (3974412)Instructions burned: 31 (million)
% 2.29/0.76 % (3974407)Instruction limit reached!
% 2.29/0.76 % (3974407)------------------------------
% 2.29/0.76 % (3974407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.76 % (3974407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.76 % (3974407)CaDiCaL version: 2.1.3
% 2.29/0.76 % (3974407)Termination reason: Instruction limit
% 2.29/0.76 % (3974407)Termination phase: Saturation
% 3.09/0.81 % (3974407)Time elapsed: 0.030 s
% 3.09/0.81 % (3974407)Peak memory usage: 12 MB
% 3.09/0.81 % (3974407)Instructions burned: 67 (million)
% 3.09/0.81 % (3974418)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=1488751694:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 3.09/0.81 % (3974419)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2346208688:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 3.09/0.81 % (3974419)Refutation not found, incomplete strategy
% 3.09/0.81 % (3974419)------------------------------
% 3.09/0.81 % (3974419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.81 % (3974419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.81 % (3974419)CaDiCaL version: 2.1.3
% 3.09/0.81 % (3974419)Termination reason: Refutation not found, incomplete strategy
% 3.09/0.81 % (3974419)Time elapsed: 0.001 s
% 3.09/0.81 % (3974419)Peak memory usage: 11 MB
% 3.09/0.81 % (3974419)Instructions burned: 1 (million)
% 3.09/0.81 % (3974419)------------------------------
% 3.09/0.81 % (3974419)------------------------------
% 3.09/0.81 % (3974404)Instruction limit reached!
% 3.09/0.81 % (3974404)------------------------------
% 3.09/0.81 % (3974404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.81 % (3974404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.81 % (3974404)CaDiCaL version: 2.1.3
% 3.09/0.81 % (3974404)Termination reason: Instruction limit
% 3.09/0.81 % (3974404)Termination phase: Saturation
% 3.09/0.81 % (3974404)Time elapsed: 0.073 s
% 3.09/0.81 % (3974404)Peak memory usage: 13 MB
% 3.09/0.81 % (3974404)Instructions burned: 202 (million)
% 3.09/0.81 % (3974422)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.09/0.81 % (3974418)Instruction limit reached!
% 3.09/0.81 % (3974418)------------------------------
% 3.09/0.81 % (3974418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.81 % (3974418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.81 % (3974418)CaDiCaL version: 2.1.3
% 3.09/0.81 % (3974418)Termination reason: Instruction limit
% 3.09/0.81 % (3974418)Termination phase: Saturation
% 3.09/0.81 % (3974418)Time elapsed: 0.018 s
% 3.09/0.81 % (3974418)Peak memory usage: 12 MB
% 3.09/0.81 % (3974418)Instructions burned: 36 (million)
% 3.09/0.81 % (3974422)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2000577068:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 3.09/0.81 % (3974415)Instruction limit reached!
% 3.09/0.81 % (3974415)------------------------------
% 3.09/0.81 % (3974415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.81 % (3974415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.81 % (3974415)CaDiCaL version: 2.1.3
% 3.09/0.81 % (3974415)Termination reason: Instruction limit
% 3.09/0.81 % (3974415)Termination phase: Saturation
% 3.09/0.81 % (3974415)Time elapsed: 0.049 s
% 3.09/0.81 % (3974415)Peak memory usage: 13 MB
% 3.09/0.81 % (3974415)Instructions burned: 142 (million)
% 3.09/0.81 % (3974423)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=123023075:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 3.09/0.81 % (3974423)Refutation not found, incomplete strategy
% 3.09/0.81 % (3974423)------------------------------
% 3.09/0.81 % (3974423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.81 % (3974423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.81 % (3974423)CaDiCaL version: 2.1.3
% 3.09/0.81 % (3974423)Termination reason: Refutation not found, incomplete strategy
% 3.09/0.81 % (3974423)Time elapsed: 0.001 s
% 3.09/0.81 % (3974423)Peak memory usage: 11 MB
% 3.09/0.81 % (3974423)------------------------------
% 3.09/0.81 % (3974423)------------------------------
% 3.09/0.81 % (3974424)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2937255500:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 3.09/0.81 % (3974426)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1275088859:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 3.09/0.81 % (3974426)Refutation not found, incomplete strategy
% 3.09/0.81 % (3974426)------------------------------
% 3.09/0.88 % (3974426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.88 % (3974426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.88 % (3974426)CaDiCaL version: 2.1.3
% 3.09/0.88 % (3974426)Termination reason: Refutation not found, incomplete strategy
% 3.09/0.88 % (3974426)Time elapsed: 0.0000 s
% 3.09/0.88 % (3974426)Peak memory usage: 11 MB
% 3.09/0.88 % (3974426)------------------------------
% 3.09/0.88 % (3974426)------------------------------
% 3.09/0.88 % (3974431)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3082419445:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 3.09/0.88 % (3974431)Refutation not found, incomplete strategy
% 3.09/0.88 % (3974431)------------------------------
% 3.09/0.88 % (3974431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.88 % (3974431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.88 % (3974431)CaDiCaL version: 2.1.3
% 3.09/0.88 % (3974431)Termination reason: Refutation not found, incomplete strategy
% 3.09/0.88 % (3974431)Time elapsed: 0.0000 s
% 3.09/0.88 % (3974431)Peak memory usage: 12 MB
% 3.09/0.88 % (3974431)------------------------------
% 3.09/0.88 % (3974431)------------------------------
% 3.09/0.88 % (3974429)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2474730990:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/874Mi)
% 3.09/0.88 % (3974429)Refutation not found, incomplete strategy
% 3.09/0.88 % (3974429)------------------------------
% 3.09/0.88 % (3974429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.88 % (3974429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.88 % (3974429)CaDiCaL version: 2.1.3
% 3.09/0.88 % (3974429)Termination reason: Refutation not found, incomplete strategy
% 3.09/0.88 % (3974429)Time elapsed: 0.001 s
% 3.09/0.88 % (3974429)Peak memory usage: 11 MB
% 3.09/0.88 % (3974429)------------------------------
% 3.09/0.88 % (3974429)------------------------------
% 3.09/0.88 % (3974433)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=340369805:st=1.5:i=130:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/130Mi)
% 3.09/0.88 % (3974433)Refutation not found, incomplete strategy
% 3.09/0.88 % (3974433)------------------------------
% 3.09/0.88 % (3974433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.88 % (3974433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.88 % (3974433)CaDiCaL version: 2.1.3
% 3.09/0.88 % (3974433)Termination reason: Refutation not found, incomplete strategy
% 3.09/0.88 % (3974433)Time elapsed: 0.0000 s
% 3.09/0.88 % (3974433)Peak memory usage: 11 MB
% 3.09/0.88 % (3974433)Instructions burned: 2 (million)
% 3.09/0.88 % (3974433)------------------------------
% 3.09/0.88 % (3974433)------------------------------
% 3.09/0.88 % (3974392)Instruction limit reached!
% 3.09/0.88 % (3974392)------------------------------
% 3.09/0.88 % (3974392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.88 % (3974392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.88 % (3974392)CaDiCaL version: 2.1.3
% 3.09/0.88 % (3974392)Termination reason: Instruction limit
% 3.09/0.88 % (3974392)Termination phase: Saturation
% 3.09/0.88 % (3974392)Time elapsed: 0.163 s
% 3.09/0.88 % (3974392)Peak memory usage: 13 MB
% 3.09/0.88 % (3974392)Instructions burned: 316 (million)
% 3.09/0.88 % (3974437)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1316725856:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 3.09/0.88 % (3974437)Refutation not found, incomplete strategy
% 3.09/0.88 % (3974437)------------------------------
% 3.09/0.88 % (3974437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.88 % (3974437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.88 % (3974437)CaDiCaL version: 2.1.3
% 3.09/0.88 % (3974437)Termination reason: Refutation not found, incomplete strategy
% 3.09/0.88 % (3974437)Time elapsed: 0.0000 s
% 3.09/0.88 % (3974437)Peak memory usage: 12 MB
% 3.09/0.88 % (3974437)Instructions burned: 1 (million)
% 3.09/0.88 % (3974435)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1235077549:i=44:ep=R:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/44Mi)
% 3.09/0.88 % (3974437)------------------------------
% 3.09/0.88 % (3974437)------------------------------
% 3.53/0.93 % (3974424)Instruction limit reached!
% 3.53/0.93 % (3974424)------------------------------
% 3.53/0.93 % (3974424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/0.93 % (3974424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/0.93 % (3974424)CaDiCaL version: 2.1.3
% 3.53/0.93 % (3974424)Termination reason: Instruction limit
% 3.53/0.93 % (3974424)Termination phase: Saturation
% 3.53/0.93 % (3974424)Time elapsed: 0.040 s
% 3.53/0.93 % (3974424)Peak memory usage: 12 MB
% 3.53/0.93 % (3974424)Instructions burned: 98 (million)
% 3.53/0.93 % (3974439)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2841031446:i=450:rtra=on:ixr=off:ntd=on_2995 on theBenchmark for (2995ds/450Mi)
% 3.53/0.93 % (3974443)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1480698326:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 3.53/0.93 % (3974445)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=1542728306:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2995 on theBenchmark for (2995ds/65Mi)
% 3.53/0.93 % (3974435)Instruction limit reached!
% 3.53/0.93 % (3974435)------------------------------
% 3.53/0.93 % (3974435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/0.93 % (3974435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/0.93 % (3974435)CaDiCaL version: 2.1.3
% 3.53/0.93 % (3974435)Termination reason: Instruction limit
% 3.53/0.93 % (3974435)Termination phase: Saturation
% 3.53/0.93 % (3974435)Time elapsed: 0.022 s
% 3.53/0.93 % (3974435)Peak memory usage: 12 MB
% 3.53/0.93 % (3974435)Instructions burned: 46 (million)
% 3.53/0.93 % (3974422)Instruction limit reached!
% 3.53/0.93 % (3974422)------------------------------
% 3.53/0.93 % (3974422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/0.93 % (3974422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/0.93 % (3974422)CaDiCaL version: 2.1.3
% 3.53/0.93 % (3974422)Termination reason: Instruction limit
% 3.53/0.93 % (3974422)Termination phase: Saturation
% 3.53/0.93 % (3974422)Time elapsed: 0.080 s
% 3.53/0.93 % (3974422)Peak memory usage: 12 MB
% 3.53/0.93 % (3974422)Instructions burned: 181 (million)
% 3.53/0.93 % (3974454)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=2950836383:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2995 on theBenchmark for (2995ds/105Mi)
% 3.53/0.93 % (3974456)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=1371690265:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2995 on theBenchmark for (2995ds/5755Mi)
% 3.53/0.93 % (3974456)Refutation not found, incomplete strategy
% 3.53/0.93 % (3974456)------------------------------
% 3.53/0.93 % (3974456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/0.93 % (3974456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/0.93 % (3974456)CaDiCaL version: 2.1.3
% 3.53/0.93 % (3974456)Termination reason: Refutation not found, incomplete strategy
% 3.53/0.93 % (3974456)Time elapsed: 0.001 s
% 3.53/0.93 % (3974456)Peak memory usage: 12 MB
% 3.53/0.93 % (3974456)Instructions burned: 1 (million)
% 3.53/0.93 % (3974456)------------------------------
% 3.53/0.93 % (3974456)------------------------------
% 3.53/0.93 % (3974445)Instruction limit reached!
% 3.53/0.93 % (3974445)------------------------------
% 3.53/0.93 % (3974445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/0.93 % (3974445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/0.93 % (3974445)CaDiCaL version: 2.1.3
% 3.53/0.93 % (3974445)Termination reason: Instruction limit
% 3.53/0.93 % (3974445)Termination phase: Saturation
% 3.53/0.93 % (3974445)Time elapsed: 0.029 s
% 3.53/0.93 % (3974445)Peak memory usage: 12 MB
% 3.53/0.93 % (3974445)Instructions burned: 66 (million)
% 3.53/0.93 % (3974443)Instruction limit reached!
% 3.53/0.93 % (3974443)------------------------------
% 3.53/0.93 % (3974443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/1.02 % (3974443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.02 % (3974443)CaDiCaL version: 2.1.3
% 3.53/1.02 % (3974443)Termination reason: Instruction limit
% 3.53/1.02 % (3974443)Termination phase: Saturation
% 3.53/1.02 % (3974443)Time elapsed: 0.035 s
% 3.53/1.02 % (3974443)Peak memory usage: 12 MB
% 3.53/1.02 % (3974443)Instructions burned: 99 (million)
% 3.53/1.02 % (3974464)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1098866205:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/375Mi)
% 3.53/1.02 % (3974468)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=1531993169:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.53/1.02 % (3974464)Refutation not found, incomplete strategy
% 3.53/1.02 % (3974464)------------------------------
% 3.53/1.02 % (3974464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/1.02 % (3974464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.02 % (3974464)CaDiCaL version: 2.1.3
% 3.53/1.02 % (3974464)Termination reason: Refutation not found, incomplete strategy
% 3.53/1.02 % (3974464)Time elapsed: 0.001 s
% 3.53/1.02 % (3974464)Peak memory usage: 11 MB
% 3.53/1.02 % (3974464)------------------------------
% 3.53/1.02 % (3974464)------------------------------
% 3.53/1.02 % (3974466)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=459395595:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/495Mi)
% 3.53/1.02 % (3974468)Instruction limit reached!
% 3.53/1.02 % (3974468)------------------------------
% 3.53/1.02 % (3974468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/1.02 % (3974468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.02 % (3974468)CaDiCaL version: 2.1.3
% 3.53/1.02 % (3974468)Termination reason: Instruction limit
% 3.53/1.02 % (3974468)Termination phase: Saturation
% 3.53/1.02 % (3974468)Time elapsed: 0.009 s
% 3.53/1.02 % (3974468)Peak memory usage: 12 MB
% 3.53/1.02 % (3974468)Instructions burned: 36 (million)
% 3.53/1.02 % (3974474)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=642965980:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/91Mi)
% 3.53/1.02 % (3974477)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1541054540:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.53/1.02 % (3974477)Refutation not found, incomplete strategy
% 3.53/1.02 % (3974477)------------------------------
% 3.53/1.02 % (3974477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/1.02 % (3974477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.02 % (3974477)CaDiCaL version: 2.1.3
% 3.53/1.02 % (3974477)Termination reason: Refutation not found, incomplete strategy
% 3.53/1.02 % (3974477)Time elapsed: 0.0000 s
% 3.53/1.02 % (3974477)Peak memory usage: 11 MB
% 3.53/1.02 % (3974477)------------------------------
% 3.53/1.02 % (3974477)------------------------------
% 3.53/1.02 % (3974454)Instruction limit reached!
% 3.53/1.02 % (3974454)------------------------------
% 3.53/1.02 % (3974454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/1.02 % (3974454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.02 % (3974454)CaDiCaL version: 2.1.3
% 3.53/1.02 % (3974454)Termination reason: Instruction limit
% 3.53/1.02 % (3974454)Termination phase: Saturation
% 3.53/1.02 % (3974454)Time elapsed: 0.055 s
% 3.53/1.02 % (3974454)Peak memory usage: 12 MB
% 3.53/1.02 % (3974454)Instructions burned: 105 (million)
% 3.53/1.02 % (3974484)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3783495262:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2994 on theBenchmark for (2994ds/22Mi)
% 3.53/1.02 % (3974486)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=2377165248:i=338:bd=all:ins=4:rtra=on_2994 on theBenchmark for (2994ds/338Mi)
% 3.53/1.02 % (3974474)Instruction limit reached!
% 3.53/1.02 % (3974474)------------------------------
% 3.53/1.02 % (3974474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/1.02 % (3974474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.07 % (3974474)CaDiCaL version: 2.1.3
% 5.03/1.07 % (3974474)Termination reason: Instruction limit
% 5.03/1.07 % (3974474)Termination phase: Saturation
% 5.03/1.07 % (3974474)Time elapsed: 0.038 s
% 5.03/1.07 % (3974474)Peak memory usage: 12 MB
% 5.03/1.07 % (3974474)Instructions burned: 93 (million)
% 5.03/1.07 % (3974484)Instruction limit reached!
% 5.03/1.07 % (3974484)------------------------------
% 5.03/1.07 % (3974484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.03/1.07 % (3974484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.07 % (3974484)CaDiCaL version: 2.1.3
% 5.03/1.07 % (3974484)Termination reason: Instruction limit
% 5.03/1.07 % (3974484)Termination phase: Saturation
% 5.03/1.07 % (3974484)Time elapsed: 0.011 s
% 5.03/1.07 % (3974484)Peak memory usage: 12 MB
% 5.03/1.07 % (3974484)Instructions burned: 22 (million)
% 5.03/1.07 % (3974496)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 5.03/1.07 % (3974494)lrs+10_1_sil=128000:si=on:urr=on:random_seed=945554773:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/28Mi)
% 5.03/1.07 % (3974496)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=1106455720:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2994 on theBenchmark for (2994ds/137Mi)
% 5.03/1.07 % (3974494)Refutation not found, incomplete strategy
% 5.03/1.07 % (3974494)------------------------------
% 5.03/1.07 % (3974494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.03/1.07 % (3974494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.07 % (3974494)CaDiCaL version: 2.1.3
% 5.03/1.07 % (3974494)Termination reason: Refutation not found, incomplete strategy
% 5.03/1.07 % (3974494)Time elapsed: 0.001 s
% 5.03/1.07 % (3974494)Peak memory usage: 11 MB
% 5.03/1.07 % (3974494)------------------------------
% 5.03/1.07 % (3974494)------------------------------
% 5.03/1.07 % (3974393)Instruction limit reached!
% 5.03/1.07 % (3974393)------------------------------
% 5.03/1.07 % (3974393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.03/1.07 % (3974393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.07 % (3974393)CaDiCaL version: 2.1.3
% 5.03/1.07 % (3974393)Termination reason: Instruction limit
% 5.03/1.07 % (3974393)Termination phase: Saturation
% 5.03/1.07 % (3974393)Time elapsed: 0.311 s
% 5.03/1.07 % (3974393)Peak memory usage: 13 MB
% 5.03/1.07 % (3974393)Instructions burned: 854 (million)
% 5.03/1.07 % (3974505)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=1429562147:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2994 on theBenchmark for (2994ds/340Mi)
% 5.03/1.07 % (3974508)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=644975534:i=227:sd=1:bd=all:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/227Mi)
% 5.03/1.07 % (3974508)Refutation not found, incomplete strategy
% 5.03/1.07 % (3974508)------------------------------
% 5.03/1.07 % (3974508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.03/1.07 % (3974508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.07 % (3974508)CaDiCaL version: 2.1.3
% 5.03/1.07 % (3974508)Termination reason: Refutation not found, incomplete strategy
% 5.03/1.07 % (3974508)Time elapsed: 0.0000 s
% 5.03/1.07 % (3974508)Peak memory usage: 11 MB
% 5.03/1.07 % (3974508)------------------------------
% 5.03/1.07 % (3974508)------------------------------
% 5.03/1.07 % (3974439)Instruction limit reached!
% 5.03/1.07 % (3974439)------------------------------
% 5.03/1.07 % (3974439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.03/1.07 % (3974439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.07 % (3974439)CaDiCaL version: 2.1.3
% 5.03/1.07 % (3974439)Termination reason: Instruction limit
% 5.03/1.07 % (3974439)Termination phase: Saturation
% 5.03/1.07 % (3974439)Time elapsed: 0.157 s
% 5.03/1.07 % (3974439)Peak memory usage: 12 MB
% 5.03/1.07 % (3974439)Instructions burned: 450 (million)
% 5.03/1.07 % (3974496)Instruction limit reached!
% 5.03/1.07 % (3974496)------------------------------
% 5.03/1.07 % (3974496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.03/1.07 % (3974496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.12 % (3974496)CaDiCaL version: 2.1.3
% 5.03/1.12 % (3974496)Termination reason: Instruction limit
% 5.03/1.12 % (3974496)Termination phase: Saturation
% 5.03/1.12 % (3974496)Time elapsed: 0.030 s
% 5.03/1.12 % (3974496)Peak memory usage: 12 MB
% 5.03/1.12 % (3974496)Instructions burned: 140 (million)
% 5.03/1.12 % (3974512)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 5.03/1.12 % (3974515)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=188269463:i=575:rtra=on_2994 on theBenchmark for (2994ds/575Mi)
% 5.03/1.12 % (3974515)Refutation not found, incomplete strategy
% 5.03/1.12 % (3974515)------------------------------
% 5.03/1.12 % (3974515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.03/1.12 % (3974515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.12 % (3974515)CaDiCaL version: 2.1.3
% 5.03/1.12 % (3974515)Termination reason: Refutation not found, incomplete strategy
% 5.03/1.12 % (3974515)Time elapsed: 0.0000 s
% 5.03/1.12 % (3974515)Peak memory usage: 12 MB
% 5.03/1.12 % (3974515)Instructions burned: 1 (million)
% 5.03/1.12 % (3974515)------------------------------
% 5.03/1.12 % (3974515)------------------------------
% 5.03/1.12 % (3974512)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=349639883:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/373Mi)
% 5.03/1.12 % (3974514)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1508251446:i=116:ep=RSTC:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/116Mi)
% 5.03/1.12 % (3974520)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2792495871: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)
% 5.03/1.12 % (3974371)Instruction limit reached!
% 5.03/1.12 % (3974371)------------------------------
% 5.03/1.12 % (3974371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.03/1.12 % (3974371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.12 % (3974371)CaDiCaL version: 2.1.3
% 5.03/1.12 % (3974371)Termination reason: Instruction limit
% 5.03/1.12 % (3974371)Termination phase: Saturation
% 5.03/1.12 % (3974371)Time elapsed: 0.441 s
% 5.03/1.12 % (3974371)Peak memory usage: 12 MB
% 5.03/1.12 % (3974371)Instructions burned: 1242 (million)
% 5.03/1.12 % (3974531)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=3250235358:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2993 on theBenchmark for (2993ds/9840Mi)
% 5.03/1.12 % (3974514)Instruction limit reached!
% 5.03/1.12 % (3974514)------------------------------
% 5.03/1.12 % (3974514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.03/1.12 % (3974514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.12 % (3974514)CaDiCaL version: 2.1.3
% 5.03/1.12 % (3974514)Termination reason: Instruction limit
% 5.03/1.12 % (3974514)Termination phase: Saturation
% 5.03/1.12 % (3974514)Time elapsed: 0.048 s
% 5.03/1.12 % (3974514)Peak memory usage: 12 MB
% 5.03/1.12 % (3974514)Instructions burned: 117 (million)
% 5.03/1.12 % (3974520)Instruction limit reached!
% 5.03/1.12 % (3974520)------------------------------
% 5.03/1.12 % (3974520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.03/1.12 % (3974520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.03/1.12 % (3974520)CaDiCaL version: 2.1.3
% 5.03/1.12 % (3974520)Termination reason: Instruction limit
% 5.03/1.12 % (3974520)Termination phase: Saturation
% 5.03/1.12 % (3974520)Time elapsed: 0.062 s
% 5.03/1.12 % (3974520)Peak memory usage: 12 MB
% 5.03/1.12 % (3974520)Instructions burned: 272 (million)
% 5.03/1.12 % (3974538)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3810537254:i=421:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/421Mi)
% 5.03/1.12 % (3974538)Refutation not found, incomplete strategy
% 5.03/1.12 % (3974538)------------------------------
% 5.03/1.12 % (3974538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.03/1.12 % (3974538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.15 % (3974538)CaDiCaL version: 2.1.3
% 5.66/1.15 % (3974538)Termination reason: Refutation not found, incomplete strategy
% 5.66/1.15 % (3974538)Time elapsed: 0.001 s
% 5.66/1.15 % (3974538)Peak memory usage: 11 MB
% 5.66/1.15 % (3974538)------------------------------
% 5.66/1.15 % (3974538)------------------------------
% 5.66/1.15 % (3974486)Instruction limit reached!
% 5.66/1.15 % (3974486)------------------------------
% 5.66/1.15 % (3974486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.66/1.15 % (3974486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.15 % (3974486)CaDiCaL version: 2.1.3
% 5.66/1.15 % (3974486)Termination reason: Instruction limit
% 5.66/1.15 % (3974486)Termination phase: Saturation
% 5.66/1.15 % (3974486)Time elapsed: 0.146 s
% 5.66/1.15 % (3974486)Peak memory usage: 14 MB
% 5.66/1.15 % (3974486)Instructions burned: 340 (million)
% 5.66/1.15 % (3974545)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.66/1.15 % (3974545)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=2381865321:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/270Mi)
% 5.66/1.15 % (3974550)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.66/1.15 % (3974550)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
% 5.66/1.15 % (3974548)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2874609464:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 5.66/1.15 % (3974550)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=3788887095:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2993 on theBenchmark for (2993ds/1440Mi)
% 5.66/1.15 % (3974466)Instruction limit reached!
% 5.66/1.15 % (3974466)------------------------------
% 5.66/1.15 % (3974466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.66/1.15 % (3974466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.15 % (3974466)CaDiCaL version: 2.1.3
% 5.66/1.15 % (3974466)Termination reason: Instruction limit
% 5.66/1.15 % (3974466)Termination phase: Saturation
% 5.66/1.15 % (3974466)Time elapsed: 0.220 s
% 5.66/1.15 % (3974466)Peak memory usage: 12 MB
% 5.66/1.15 % (3974466)Instructions burned: 495 (million)
% 5.66/1.15 % (3974548)Instruction limit reached!
% 5.66/1.15 % (3974548)------------------------------
% 5.66/1.15 % (3974548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.66/1.15 % (3974548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.15 % (3974548)CaDiCaL version: 2.1.3
% 5.66/1.15 % (3974548)Termination reason: Instruction limit
% 5.66/1.15 % (3974548)Termination phase: Saturation
% 5.66/1.15 % (3974548)Time elapsed: 0.016 s
% 5.66/1.15 % (3974548)Peak memory usage: 12 MB
% 5.66/1.15 % (3974548)Instructions burned: 31 (million)
% 5.66/1.15 % (3974558)dis+10_2_sil=128000:si=on:random_seed=2388855504:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2992 on theBenchmark for (2992ds/339Mi)
% 5.66/1.15 % (3974558)Refutation not found, incomplete strategy
% 5.66/1.15 % (3974558)------------------------------
% 5.66/1.15 % (3974558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.66/1.15 % (3974558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.66/1.15 % (3974558)CaDiCaL version: 2.1.3
% 5.66/1.15 % (3974558)Termination reason: Refutation not found, incomplete strategy
% 5.66/1.15 % (3974558)Time elapsed: 0.0000 s
% 5.66/1.15 % (3974558)Peak memory usage: 11 MB
% 5.66/1.15 % (3974558)------------------------------
% 5.66/1.15 % (3974558)------------------------------
% 5.66/1.15 % (3974561)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=538849696:i=111:add=on:fgj=on:rtra=on:fdi=1024_2992 on theBenchmark for (2992ds/111Mi)
% 5.66/1.15 % (3974505)Instruction limit reached!
% 5.66/1.15 % (3974505)------------------------------
% 5.66/1.15 % (3974505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.94/1.23 % (3974505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.23 % (3974505)CaDiCaL version: 2.1.3
% 5.94/1.23 % (3974505)Termination reason: Instruction limit
% 5.94/1.23 % (3974505)Termination phase: Saturation
% 5.94/1.23 % (3974505)Time elapsed: 0.155 s
% 5.94/1.23 % (3974505)Peak memory usage: 13 MB
% 5.94/1.23 % (3974505)Instructions burned: 342 (million)
% 5.94/1.23 % (3974566)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=1357086277:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/122Mi)
% 5.94/1.23 % (3974566)Refutation not found, incomplete strategy
% 5.94/1.23 % (3974566)------------------------------
% 5.94/1.23 % (3974566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.94/1.23 % (3974566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.23 % (3974566)CaDiCaL version: 2.1.3
% 5.94/1.23 % (3974566)Termination reason: Refutation not found, incomplete strategy
% 5.94/1.23 % (3974566)Time elapsed: 0.001 s
% 5.94/1.23 % (3974566)Peak memory usage: 11 MB
% 5.94/1.23 % (3974566)------------------------------
% 5.94/1.23 % (3974566)------------------------------
% 5.94/1.23 % (3974568)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=855916415:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/136Mi)
% 5.94/1.23 % (3974568)Refutation not found, incomplete strategy
% 5.94/1.23 % (3974568)------------------------------
% 5.94/1.23 % (3974568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.94/1.23 % (3974568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.23 % (3974568)CaDiCaL version: 2.1.3
% 5.94/1.23 % (3974568)Termination reason: Refutation not found, incomplete strategy
% 5.94/1.23 % (3974568)Time elapsed: 0.001 s
% 5.94/1.23 % (3974568)Peak memory usage: 11 MB
% 5.94/1.23 % (3974568)Instructions burned: 1 (million)
% 5.94/1.23 % (3974568)------------------------------
% 5.94/1.23 % (3974568)------------------------------
% 5.94/1.23 % (3974573)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=622715153:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/232Mi)
% 5.94/1.23 % (3974573)Refutation not found, incomplete strategy
% 5.94/1.23 % (3974573)------------------------------
% 5.94/1.23 % (3974573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.94/1.23 % (3974573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.23 % (3974573)CaDiCaL version: 2.1.3
% 5.94/1.23 % (3974573)Termination reason: Refutation not found, incomplete strategy
% 5.94/1.23 % (3974573)Time elapsed: 0.0000 s
% 5.94/1.23 % (3974573)Peak memory usage: 11 MB
% 5.94/1.23 % (3974573)------------------------------
% 5.94/1.23 % (3974573)------------------------------
% 5.94/1.23 % (3974579)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 5.94/1.23 % (3974545)Instruction limit reached!
% 5.94/1.23 % (3974545)------------------------------
% 5.94/1.23 % (3974545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.94/1.23 % (3974545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.23 % (3974545)CaDiCaL version: 2.1.3
% 5.94/1.23 % (3974545)Termination reason: Instruction limit
% 5.94/1.23 % (3974545)Termination phase: Saturation
% 5.94/1.23 % (3974545)Time elapsed: 0.084 s
% 5.94/1.23 % (3974545)Peak memory usage: 13 MB
% 5.94/1.23 % (3974545)Instructions burned: 272 (million)
% 5.94/1.23 % (3974579)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=3251085724:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2992 on theBenchmark for (2992ds/281Mi)
% 5.94/1.23 % (3974577)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=2979736916:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/1254Mi)
% 5.94/1.23 % (3974577)Refutation not found, incomplete strategy
% 5.94/1.23 % (3974577)------------------------------
% 5.94/1.23 % (3974577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.94/1.23 % (3974577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.32 % (3974577)CaDiCaL version: 2.1.3
% 6.31/1.32 % (3974577)Termination reason: Refutation not found, incomplete strategy
% 6.31/1.32 % (3974577)Time elapsed: 0.002 s
% 6.31/1.32 % (3974577)Peak memory usage: 12 MB
% 6.31/1.32 % (3974577)Instructions burned: 3 (million)
% 6.31/1.32 % (3974577)------------------------------
% 6.31/1.32 % (3974577)------------------------------
% 6.31/1.32 % (3974512)Instruction limit reached!
% 6.31/1.32 % (3974512)------------------------------
% 6.31/1.32 % (3974512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.31/1.32 % (3974512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.32 % (3974512)CaDiCaL version: 2.1.3
% 6.31/1.32 % (3974512)Termination reason: Instruction limit
% 6.31/1.32 % (3974512)Termination phase: Saturation
% 6.31/1.32 % (3974512)Time elapsed: 0.177 s
% 6.31/1.32 % (3974512)Peak memory usage: 12 MB
% 6.31/1.32 % (3974512)Instructions burned: 373 (million)
% 6.31/1.32 % (3974561)Instruction limit reached!
% 6.31/1.32 % (3974561)------------------------------
% 6.31/1.32 % (3974561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.31/1.32 % (3974561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.32 % (3974561)CaDiCaL version: 2.1.3
% 6.31/1.32 % (3974561)Termination reason: Instruction limit
% 6.31/1.32 % (3974561)Termination phase: Saturation
% 6.31/1.32 % (3974561)Time elapsed: 0.052 s
% 6.31/1.32 % (3974561)Peak memory usage: 12 MB
% 6.31/1.32 % (3974561)Instructions burned: 112 (million)
% 6.31/1.32 % (3974582)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1569383104:i=619:add=on:rtra=on_2992 on theBenchmark for (2992ds/619Mi)
% 6.31/1.32 % (3974582)Refutation not found, incomplete strategy
% 6.31/1.32 % (3974582)------------------------------
% 6.31/1.32 % (3974582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.31/1.32 % (3974582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.32 % (3974582)CaDiCaL version: 2.1.3
% 6.31/1.32 % (3974582)Termination reason: Refutation not found, incomplete strategy
% 6.31/1.32 % (3974582)Time elapsed: 0.002 s
% 6.31/1.32 % (3974582)Peak memory usage: 12 MB
% 6.31/1.32 % (3974582)Instructions burned: 3 (million)
% 6.31/1.32 % (3974582)------------------------------
% 6.31/1.32 % (3974582)------------------------------
% 6.31/1.32 % (3974584)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=3109497956:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/865Mi)
% 6.31/1.32 % (3974585)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3821909095:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/212Mi)
% 6.31/1.32 % (3974586)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=2066401971:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 6.31/1.32 % (3974585)Refutation not found, incomplete strategy
% 6.31/1.32 % (3974585)------------------------------
% 6.31/1.32 % (3974585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.31/1.32 % (3974585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.32 % (3974585)CaDiCaL version: 2.1.3
% 6.31/1.32 % (3974585)Termination reason: Refutation not found, incomplete strategy
% 6.31/1.32 % (3974585)Time elapsed: 0.001 s
% 6.31/1.32 % (3974585)Peak memory usage: 11 MB
% 6.31/1.32 % (3974586)Refutation not found, incomplete strategy
% 6.31/1.32 % (3974586)------------------------------
% 6.31/1.32 % (3974586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.31/1.32 % (3974586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.31/1.32 % (3974586)CaDiCaL version: 2.1.3
% 6.31/1.32 % (3974586)Termination reason: Refutation not found, incomplete strategy
% 6.31/1.32 % (3974586)Time elapsed: 0.001 s
% 6.31/1.32 % (3974586)Peak memory usage: 11 MB
% 6.31/1.32 % (3974585)------------------------------
% 6.31/1.32 % (3974585)------------------------------
% 6.31/1.32 % (3974586)------------------------------
% 6.31/1.32 % (3974586)------------------------------
% 6.31/1.32 % (3974588)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=232785132:st=1.5:i=346:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/346Mi)
% 6.31/1.32 % (3974588)Refutation not found, incomplete strategy
% 6.31/1.32 % (3974588)------------------------------
% 7.00/1.52 % (3974588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.52 % (3974588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.52 % (3974588)CaDiCaL version: 2.1.3
% 7.00/1.52 % (3974588)Termination reason: Refutation not found, incomplete strategy
% 7.00/1.52 % (3974588)Time elapsed: 0.001 s
% 7.00/1.52 % (3974588)Peak memory usage: 11 MB
% 7.00/1.52 % (3974588)Instructions burned: 2 (million)
% 7.00/1.52 % (3974588)------------------------------
% 7.00/1.52 % (3974588)------------------------------
% 7.00/1.52 % (3974592)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=3500579601:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2991 on theBenchmark for (2991ds/152Mi)
% 7.00/1.52 % (3974593)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2344422989:i=75:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/75Mi)
% 7.00/1.52 % (3974596)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=3083188082:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/387Mi)
% 7.00/1.52 % (3974596)Refutation not found, incomplete strategy
% 7.00/1.52 % (3974596)------------------------------
% 7.00/1.52 % (3974596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.52 % (3974596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.52 % (3974596)CaDiCaL version: 2.1.3
% 7.00/1.52 % (3974596)Termination reason: Refutation not found, incomplete strategy
% 7.00/1.52 % (3974596)Time elapsed: 0.001 s
% 7.00/1.52 % (3974596)Peak memory usage: 11 MB
% 7.00/1.52 % (3974596)Instructions burned: 1 (million)
% 7.00/1.52 % (3974596)------------------------------
% 7.00/1.52 % (3974596)------------------------------
% 7.00/1.52 % (3974579)Instruction limit reached!
% 7.00/1.52 % (3974579)------------------------------
% 7.00/1.52 % (3974579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.52 % (3974579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.52 % (3974579)CaDiCaL version: 2.1.3
% 7.00/1.52 % (3974579)Termination reason: Instruction limit
% 7.00/1.52 % (3974579)Termination phase: Saturation
% 7.00/1.52 % (3974579)Time elapsed: 0.077 s
% 7.00/1.52 % (3974579)Peak memory usage: 13 MB
% 7.00/1.52 % (3974579)Instructions burned: 282 (million)
% 7.00/1.52 % (3974605)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=1754041791:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2991 on theBenchmark for (2991ds/148Mi)
% 7.00/1.52 % (3974610)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=1416533441:i=161:piset=and:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/161Mi)
% 7.00/1.52 % (3974593)Instruction limit reached!
% 7.00/1.52 % (3974593)------------------------------
% 7.00/1.52 % (3974593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.52 % (3974593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.52 % (3974593)CaDiCaL version: 2.1.3
% 7.00/1.52 % (3974593)Termination reason: Instruction limit
% 7.00/1.52 % (3974593)Termination phase: Saturation
% 7.00/1.52 % (3974593)Time elapsed: 0.035 s
% 7.00/1.52 % (3974593)Peak memory usage: 12 MB
% 7.00/1.52 % (3974593)Instructions burned: 75 (million)
% 7.00/1.52 % (3974615)lrs+10_1_sil=128000:si=on:random_seed=601256976:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/888Mi)
% 7.00/1.52 % (3974615)Refutation not found, incomplete strategy
% 7.00/1.52 % (3974615)------------------------------
% 7.00/1.52 % (3974615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.52 % (3974615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.52 % (3974615)CaDiCaL version: 2.1.3
% 7.00/1.52 % (3974615)Termination reason: Refutation not found, incomplete strategy
% 7.00/1.52 % (3974615)Time elapsed: 0.001 s
% 7.00/1.52 % (3974615)Peak memory usage: 11 MB
% 7.00/1.52 % (3974615)------------------------------
% 7.00/1.52 % (3974615)------------------------------
% 7.00/1.52 % (3974610)Instruction limit reached!
% 7.00/1.52 % (3974610)------------------------------
% 7.00/1.52 % (3974610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.00/1.52 % (3974610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/1.52 % (3974610)CaDiCaL version: 2.1.3
% 7.00/1.52 % (3974610)Termination reason: Instruction limit
% 8.15/1.66 % (3974610)Termination phase: Saturation
% 8.15/1.66 % (3974610)Time elapsed: 0.033 s
% 8.15/1.66 % (3974610)Peak memory usage: 12 MB
% 8.15/1.66 % (3974610)Instructions burned: 164 (million)
% 8.15/1.66 % (3974619)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=2804278648:i=136:add=on:ins=4:rtra=on:sup=off_2991 on theBenchmark for (2991ds/136Mi)
% 8.15/1.66 % (3974592)Instruction limit reached!
% 8.15/1.66 % (3974592)------------------------------
% 8.15/1.66 % (3974592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.66 % (3974592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.66 % (3974592)CaDiCaL version: 2.1.3
% 8.15/1.66 % (3974592)Termination reason: Instruction limit
% 8.15/1.66 % (3974592)Termination phase: Saturation
% 8.15/1.66 % (3974592)Time elapsed: 0.075 s
% 8.15/1.66 % (3974592)Peak memory usage: 12 MB
% 8.15/1.66 % (3974592)Instructions burned: 153 (million)
% 8.15/1.66 % (3974621)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=2448289214:i=88:s2at=3:nm=2:rtra=on:rawr=on_2991 on theBenchmark for (2991ds/88Mi)
% 8.15/1.66 % (3974624)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1865817952:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2991 on theBenchmark for (2991ds/93Mi)
% 8.15/1.66 % (3974605)Instruction limit reached!
% 8.15/1.66 % (3974605)------------------------------
% 8.15/1.66 % (3974605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.66 % (3974605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.66 % (3974605)CaDiCaL version: 2.1.3
% 8.15/1.66 % (3974605)Termination reason: Instruction limit
% 8.15/1.66 % (3974605)Termination phase: Saturation
% 8.15/1.66 % (3974605)Time elapsed: 0.066 s
% 8.15/1.66 % (3974605)Peak memory usage: 12 MB
% 8.15/1.66 % (3974605)Instructions burned: 148 (million)
% 8.15/1.66 % (3974621)Instruction limit reached!
% 8.15/1.66 % (3974621)------------------------------
% 8.15/1.66 % (3974621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.66 % (3974621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.66 % (3974621)CaDiCaL version: 2.1.3
% 8.15/1.66 % (3974621)Termination reason: Instruction limit
% 8.15/1.66 % (3974621)Termination phase: Saturation
% 8.15/1.66 % (3974621)Time elapsed: 0.019 s
% 8.15/1.66 % (3974621)Peak memory usage: 13 MB
% 8.15/1.66 % (3974621)Instructions burned: 88 (million)
% 8.15/1.66 % (3974631)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2202629415:s2a=on:i=240:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/240Mi)
% 8.15/1.66 % (3974629)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4041063881:i=2186:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/2186Mi)
% 8.15/1.66 % (3974619)Instruction limit reached!
% 8.15/1.66 % (3974619)------------------------------
% 8.15/1.66 % (3974619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.66 % (3974619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.66 % (3974619)CaDiCaL version: 2.1.3
% 8.15/1.66 % (3974619)Termination reason: Instruction limit
% 8.15/1.66 % (3974619)Termination phase: Saturation
% 8.15/1.66 % (3974619)Time elapsed: 0.062 s
% 8.15/1.66 % (3974619)Peak memory usage: 12 MB
% 8.15/1.66 % (3974619)Instructions burned: 138 (million)
% 8.15/1.66 % (3974624)Instruction limit reached!
% 8.15/1.66 % (3974624)------------------------------
% 8.15/1.66 % (3974624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.15/1.66 % (3974624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.15/1.66 % (3974624)CaDiCaL version: 2.1.3
% 8.15/1.66 % (3974624)Termination reason: Instruction limit
% 8.15/1.66 % (3974624)Termination phase: Saturation
% 8.15/1.66 % (3974624)Time elapsed: 0.047 s
% 8.15/1.66 % (3974624)Peak memory usage: 12 MB
% 8.15/1.66 % (3974624)Instructions burned: 94 (million)
% 8.15/1.66 % (3974641)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=2532345007:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/805Mi)
% 8.15/1.66 % (3974642)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 8.69/1.78 % (3974631)Instruction limit reached!
% 8.69/1.78 % (3974631)------------------------------
% 8.69/1.78 % (3974631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.69/1.78 % (3974631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/1.78 % (3974631)CaDiCaL version: 2.1.3
% 8.69/1.78 % (3974631)Termination reason: Instruction limit
% 8.69/1.78 % (3974631)Termination phase: Saturation
% 8.69/1.78 % (3974631)Time elapsed: 0.051 s
% 8.69/1.78 % (3974631)Peak memory usage: 12 MB
% 8.69/1.78 % (3974631)Instructions burned: 242 (million)
% 8.69/1.78 % (3974642)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=3157123489:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2990 on theBenchmark for (2990ds/391Mi)
% 8.69/1.78 % (3974642)Refutation not found, incomplete strategy
% 8.69/1.78 % (3974642)------------------------------
% 8.69/1.78 % (3974642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.69/1.78 % (3974642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/1.78 % (3974642)CaDiCaL version: 2.1.3
% 8.69/1.78 % (3974642)Termination reason: Refutation not found, incomplete strategy
% 8.69/1.78 % (3974642)Time elapsed: 0.001 s
% 8.69/1.78 % (3974642)Peak memory usage: 11 MB
% 8.69/1.78 % (3974642)Instructions burned: 2 (million)
% 8.69/1.78 % (3974642)------------------------------
% 8.69/1.78 % (3974642)------------------------------
% 8.69/1.78 % (3974644)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=866075039:i=355:av=off:fsr=off:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/355Mi)
% 8.69/1.78 % (3974646)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=422412436:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/314Mi)
% 8.69/1.78 % (3974646)Refutation not found, incomplete strategy
% 8.69/1.78 % (3974646)------------------------------
% 8.69/1.78 % (3974646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.69/1.78 % (3974646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/1.78 % (3974646)CaDiCaL version: 2.1.3
% 8.69/1.78 % (3974646)Termination reason: Refutation not found, incomplete strategy
% 8.69/1.78 % (3974646)Time elapsed: 0.001 s
% 8.69/1.78 % (3974646)Peak memory usage: 11 MB
% 8.69/1.78 % (3974646)------------------------------
% 8.69/1.78 % (3974646)------------------------------
% 8.69/1.78 % (3974649)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=3054448999:s2a=on:i=251:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/251Mi)
% 8.69/1.78 % (3974644)Instruction limit reached!
% 8.69/1.78 % (3974644)------------------------------
% 8.69/1.78 % (3974644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.69/1.78 % (3974644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/1.78 % (3974644)CaDiCaL version: 2.1.3
% 8.69/1.78 % (3974644)Termination reason: Instruction limit
% 8.69/1.78 % (3974644)Termination phase: Saturation
% 8.69/1.78 % (3974644)Time elapsed: 0.082 s
% 8.69/1.78 % (3974644)Peak memory usage: 12 MB
% 8.69/1.78 % (3974644)Instructions burned: 359 (million)
% 8.69/1.78 % (3974651)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=897891340:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2989 on theBenchmark for (2989ds/2470Mi)
% 8.69/1.78 % (3974649)Instruction limit reached!
% 8.69/1.78 % (3974649)------------------------------
% 8.69/1.78 % (3974649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.69/1.78 % (3974649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/1.78 % (3974649)CaDiCaL version: 2.1.3
% 8.69/1.78 % (3974649)Termination reason: Instruction limit
% 8.69/1.78 % (3974649)Termination phase: Saturation
% 8.69/1.78 % (3974649)Time elapsed: 0.109 s
% 8.69/1.78 % (3974649)Peak memory usage: 12 MB
% 8.69/1.78 % (3974649)Instructions burned: 254 (million)
% 8.69/1.78 % (3974653)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=2222249038:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2988 on theBenchmark for (2988ds/673Mi)
% 8.69/1.78 % (3974550)Instruction limit reached!
% 9.78/1.95 % (3974550)------------------------------
% 9.78/1.95 % (3974550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.78/1.95 % (3974550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/1.95 % (3974550)CaDiCaL version: 2.1.3
% 9.78/1.95 % (3974550)Termination reason: Instruction limit
% 9.78/1.95 % (3974550)Termination phase: Saturation
% 9.78/1.95 % (3974550)Time elapsed: 0.479 s
% 9.78/1.95 % (3974550)Peak memory usage: 13 MB
% 9.78/1.95 % (3974550)Instructions burned: 1440 (million)
% 9.78/1.95 % (3974655)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3601434954:i=116:ep=RSTC:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/116Mi)
% 9.78/1.95 % (3974584)Instruction limit reached!
% 9.78/1.95 % (3974584)------------------------------
% 9.78/1.95 % (3974584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.78/1.95 % (3974584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/1.95 % (3974584)CaDiCaL version: 2.1.3
% 9.78/1.95 % (3974584)Termination reason: Instruction limit
% 9.78/1.95 % (3974584)Termination phase: Saturation
% 9.78/1.95 % (3974584)Time elapsed: 0.445 s
% 9.78/1.95 % (3974584)Peak memory usage: 15 MB
% 9.78/1.95 % (3974584)Instructions burned: 866 (million)
% 9.78/1.95 % (3974655)Instruction limit reached!
% 9.78/1.95 % (3974655)------------------------------
% 9.78/1.95 % (3974655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.78/1.95 % (3974655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/1.95 % (3974655)CaDiCaL version: 2.1.3
% 9.78/1.95 % (3974655)Termination reason: Instruction limit
% 9.78/1.95 % (3974655)Termination phase: Saturation
% 9.78/1.95 % (3974655)Time elapsed: 0.049 s
% 9.78/1.95 % (3974655)Peak memory usage: 12 MB
% 9.78/1.95 % (3974655)Instructions burned: 117 (million)
% 9.78/1.95 % (3974666)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1963875708:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2987 on theBenchmark for (2987ds/270Mi)
% 9.78/1.95 % (3974667)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=4060815252:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2987 on theBenchmark for (2987ds/30Mi)
% 9.78/1.95 % (3974667)Instruction limit reached!
% 9.78/1.95 % (3974667)------------------------------
% 9.78/1.95 % (3974667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.78/1.95 % (3974667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/1.95 % (3974667)CaDiCaL version: 2.1.3
% 9.78/1.95 % (3974667)Termination reason: Instruction limit
% 9.78/1.95 % (3974667)Termination phase: Saturation
% 9.78/1.95 % (3974667)Time elapsed: 0.013 s
% 9.78/1.95 % (3974667)Peak memory usage: 12 MB
% 9.78/1.95 % (3974667)Instructions burned: 30 (million)
% 9.78/1.95 % (3974680)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 9.78/1.95 % (3974680)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3834642622:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2987 on theBenchmark for (2987ds/39Mi)
% 9.78/1.95 % (3974641)Instruction limit reached!
% 9.78/1.95 % (3974641)------------------------------
% 9.78/1.95 % (3974641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.78/1.95 % (3974641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/1.95 % (3974641)CaDiCaL version: 2.1.3
% 9.78/1.95 % (3974641)Termination reason: Instruction limit
% 9.78/1.95 % (3974641)Termination phase: Saturation
% 9.78/1.95 % (3974641)Time elapsed: 0.324 s
% 9.78/1.95 % (3974641)Peak memory usage: 13 MB
% 9.78/1.95 % (3974641)Instructions burned: 805 (million)
% 9.78/1.95 % (3974680)Instruction limit reached!
% 9.78/1.95 % (3974680)------------------------------
% 9.78/1.95 % (3974680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.78/1.95 % (3974680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.78/1.95 % (3974680)CaDiCaL version: 2.1.3
% 9.78/1.95 % (3974680)Termination reason: Instruction limit
% 9.78/1.95 % (3974680)Termination phase: Saturation
% 9.78/1.95 % (3974680)Time elapsed: 0.020 s
% 9.78/1.95 % (3974680)Peak memory usage: 12 MB
% 12.15/2.06 % (3974680)Instructions burned: 40 (million)
% 12.15/2.06 % (3974690)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2091980647:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2986 on theBenchmark for (2986ds/365Mi)
% 12.15/2.06 % (3974696)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2272915662:i=158:av=off:rtra=on_2986 on theBenchmark for (2986ds/158Mi)
% 12.15/2.06 % (3974666)Instruction limit reached!
% 12.15/2.06 % (3974666)------------------------------
% 12.15/2.06 % (3974666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.15/2.06 % (3974666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.06 % (3974666)CaDiCaL version: 2.1.3
% 12.15/2.06 % (3974666)Termination reason: Instruction limit
% 12.15/2.06 % (3974666)Termination phase: Saturation
% 12.15/2.06 % (3974666)Time elapsed: 0.117 s
% 12.15/2.06 % (3974666)Peak memory usage: 12 MB
% 12.15/2.06 % (3974666)Instructions burned: 270 (million)
% 12.15/2.06 % (3974713)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 12.15/2.06 % (3974696)Instruction limit reached!
% 12.15/2.06 % (3974696)------------------------------
% 12.15/2.06 % (3974696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.15/2.06 % (3974696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.06 % (3974696)CaDiCaL version: 2.1.3
% 12.15/2.06 % (3974696)Termination reason: Instruction limit
% 12.15/2.06 % (3974696)Termination phase: Saturation
% 12.15/2.06 % (3974696)Time elapsed: 0.064 s
% 12.15/2.06 % (3974696)Peak memory usage: 11 MB
% 12.15/2.06 % (3974696)Instructions burned: 159 (million)
% 12.15/2.06 % (3974713)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=2616160958:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/252Mi)
% 12.15/2.06 % (3974653)Instruction limit reached!
% 12.15/2.06 % (3974653)------------------------------
% 12.15/2.06 % (3974653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.15/2.06 % (3974653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.06 % (3974653)CaDiCaL version: 2.1.3
% 12.15/2.06 % (3974653)Termination reason: Instruction limit
% 12.15/2.06 % (3974653)Termination phase: Saturation
% 12.15/2.06 % (3974653)Time elapsed: 0.265 s
% 12.15/2.06 % (3974653)Peak memory usage: 12 MB
% 12.15/2.06 % (3974653)Instructions burned: 674 (million)
% 12.15/2.06 % (3974715)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=4096009254:i=213:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/213Mi)
% 12.15/2.06 % (3974715)Refutation not found, incomplete strategy
% 12.15/2.06 % (3974715)------------------------------
% 12.15/2.06 % (3974715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.15/2.06 % (3974715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.06 % (3974715)CaDiCaL version: 2.1.3
% 12.15/2.06 % (3974715)Termination reason: Refutation not found, incomplete strategy
% 12.15/2.06 % (3974715)Time elapsed: 0.001 s
% 12.15/2.06 % (3974715)Peak memory usage: 11 MB
% 12.15/2.06 % (3974715)------------------------------
% 12.15/2.06 % (3974715)------------------------------
% 12.15/2.06 % (3974718)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=3209763980:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2985 on theBenchmark for (2985ds/160Mi)
% 12.15/2.06 % (3974718)Refutation not found, incomplete strategy
% 12.15/2.06 % (3974718)------------------------------
% 12.15/2.06 % (3974718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.15/2.06 % (3974718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.06 % (3974718)CaDiCaL version: 2.1.3
% 12.15/2.06 % (3974718)Termination reason: Refutation not found, incomplete strategy
% 12.15/2.06 % (3974718)Time elapsed: 0.001 s
% 12.15/2.06 % (3974718)Peak memory usage: 11 MB
% 12.15/2.06 % (3974718)Instructions burned: 1 (million)
% 12.15/2.06 % (3974719)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=2450626240:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/763Mi)
% 12.15/2.06 % (3974718)------------------------------
% 12.15/2.10 % (3974718)------------------------------
% 12.15/2.10 % (3974690)Instruction limit reached!
% 12.15/2.10 % (3974690)------------------------------
% 12.15/2.10 % (3974690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.15/2.10 % (3974690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.10 % (3974690)CaDiCaL version: 2.1.3
% 12.15/2.10 % (3974690)Termination reason: Instruction limit
% 12.15/2.10 % (3974690)Termination phase: Saturation
% 12.15/2.10 % (3974690)Time elapsed: 0.128 s
% 12.15/2.10 % (3974690)Peak memory usage: 13 MB
% 12.15/2.10 % (3974690)Instructions burned: 366 (million)
% 12.15/2.10 % (3974722)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 12.15/2.10 % (3974722)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=3553144212:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2985 on theBenchmark for (2985ds/237Mi)
% 12.15/2.10 % (3974722)Refutation not found, incomplete strategy
% 12.15/2.10 % (3974722)------------------------------
% 12.15/2.10 % (3974722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.15/2.10 % (3974722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.10 % (3974722)CaDiCaL version: 2.1.3
% 12.15/2.10 % (3974722)Termination reason: Refutation not found, incomplete strategy
% 12.15/2.10 % (3974722)Time elapsed: 0.001 s
% 12.15/2.10 % (3974722)Peak memory usage: 11 MB
% 12.15/2.10 % (3974722)------------------------------
% 12.15/2.10 % (3974722)------------------------------
% 12.15/2.10 % (3974723)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=4202184698:s2a=on:i=386:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/386Mi)
% 12.15/2.10 % (3974725)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=3419892270:i=300:piset=and:nm=32:rtra=on_2985 on theBenchmark for (2985ds/300Mi)
% 12.15/2.10 % (3974713)Instruction limit reached!
% 12.15/2.10 % (3974713)------------------------------
% 12.15/2.10 % (3974713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.15/2.10 % (3974713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.10 % (3974713)CaDiCaL version: 2.1.3
% 12.15/2.10 % (3974713)Termination reason: Instruction limit
% 12.15/2.10 % (3974713)Termination phase: Saturation
% 12.15/2.10 % (3974713)Time elapsed: 0.101 s
% 12.15/2.10 % (3974713)Peak memory usage: 12 MB
% 12.15/2.10 % (3974713)Instructions burned: 254 (million)
% 12.15/2.10 % (3974728)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=2504427314:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/567Mi)
% 12.15/2.10 % (3974728)Refutation not found, incomplete strategy
% 12.15/2.10 % (3974728)------------------------------
% 12.15/2.10 % (3974728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.15/2.10 % (3974728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.10 % (3974728)CaDiCaL version: 2.1.3
% 12.15/2.10 % (3974728)Termination reason: Refutation not found, incomplete strategy
% 12.15/2.10 % (3974728)Time elapsed: 0.001 s
% 12.15/2.10 % (3974728)Peak memory usage: 11 MB
% 12.15/2.10 % (3974728)Instructions burned: 2 (million)
% 12.15/2.10 % (3974728)------------------------------
% 12.15/2.10 % (3974728)------------------------------
% 12.15/2.10 % (3974730)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1620393668:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2984 on theBenchmark for (2984ds/379Mi)
% 12.15/2.10 % (3974730)Refutation not found, incomplete strategy
% 12.15/2.10 % (3974730)------------------------------
% 12.15/2.10 % (3974730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.15/2.10 % (3974730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.15/2.10 % (3974730)CaDiCaL version: 2.1.3
% 12.15/2.10 % (3974730)Termination reason: Refutation not found, incomplete strategy
% 12.15/2.10 % (3974730)Time elapsed: 0.001 s
% 12.15/2.10 % (3974730)Peak memory usage: 11 MB
% 12.15/2.10 % (3974730)------------------------------
% 12.15/2.10 % (3974730)------------------------------
% 12.15/2.10 % (3974732)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=588470811:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2984 on theBenchmark for (2984ds/429Mi)
% 12.15/2.10 % (3974725)Instruction limit reached!
% 12.80/2.15 % (3974725)------------------------------
% 12.80/2.15 % (3974725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.80/2.15 % (3974725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.15 % (3974725)CaDiCaL version: 2.1.3
% 12.80/2.15 % (3974725)Termination reason: Instruction limit
% 12.80/2.15 % (3974725)Termination phase: Saturation
% 12.80/2.15 % (3974725)Time elapsed: 0.130 s
% 12.80/2.15 % (3974725)Peak memory usage: 12 MB
% 12.80/2.15 % (3974725)Instructions burned: 301 (million)
% 12.80/2.15 % (3974734)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3763358833:i=478:bd=all:rtra=on_2983 on theBenchmark for (2983ds/478Mi)
% 12.80/2.15 % (3974734)Refutation not found, incomplete strategy
% 12.80/2.15 % (3974734)------------------------------
% 12.80/2.15 % (3974734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.80/2.15 % (3974734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.15 % (3974734)CaDiCaL version: 2.1.3
% 12.80/2.15 % (3974734)Termination reason: Refutation not found, incomplete strategy
% 12.80/2.15 % (3974734)Time elapsed: 0.001 s
% 12.80/2.15 % (3974734)Peak memory usage: 12 MB
% 12.80/2.15 % (3974734)Instructions burned: 1 (million)
% 12.80/2.15 % (3974734)------------------------------
% 12.80/2.15 % (3974734)------------------------------
% 12.80/2.15 % (3974723)Instruction limit reached!
% 12.80/2.15 % (3974723)------------------------------
% 12.80/2.15 % (3974723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.80/2.15 % (3974723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.15 % (3974723)CaDiCaL version: 2.1.3
% 12.80/2.15 % (3974723)Termination reason: Instruction limit
% 12.80/2.15 % (3974723)Termination phase: Saturation
% 12.80/2.15 % (3974723)Time elapsed: 0.172 s
% 12.80/2.15 % (3974723)Peak memory usage: 12 MB
% 12.80/2.15 % (3974723)Instructions burned: 388 (million)
% 12.80/2.15 % (3974736)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2070558075:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2983 on theBenchmark for (2983ds/445Mi)
% 12.80/2.15 % (3974737)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=4199524989:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2983 on theBenchmark for (2983ds/71Mi)
% 12.80/2.15 % (3974737)Instruction limit reached!
% 12.80/2.15 % (3974737)------------------------------
% 12.80/2.15 % (3974737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.80/2.15 % (3974737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.15 % (3974737)CaDiCaL version: 2.1.3
% 12.80/2.15 % (3974737)Termination reason: Instruction limit
% 12.80/2.15 % (3974737)Termination phase: Saturation
% 12.80/2.15 % (3974737)Time elapsed: 0.038 s
% 12.80/2.15 % (3974737)Peak memory usage: 12 MB
% 12.80/2.15 % (3974737)Instructions burned: 72 (million)
% 12.80/2.15 % (3974719)Instruction limit reached!
% 12.80/2.15 % (3974719)------------------------------
% 12.80/2.15 % (3974719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.80/2.15 % (3974719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.15 % (3974719)CaDiCaL version: 2.1.3
% 12.80/2.15 % (3974719)Termination reason: Instruction limit
% 12.80/2.15 % (3974719)Termination phase: Saturation
% 12.80/2.15 % (3974719)Time elapsed: 0.261 s
% 12.80/2.15 % (3974719)Peak memory usage: 13 MB
% 12.80/2.15 % (3974719)Instructions burned: 764 (million)
% 12.80/2.15 % (3974651)Instruction limit reached!
% 12.80/2.15 % (3974651)------------------------------
% 12.80/2.15 % (3974651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.80/2.15 % (3974651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.15 % (3974651)CaDiCaL version: 2.1.3
% 12.80/2.15 % (3974651)Termination reason: Instruction limit
% 12.80/2.15 % (3974651)Termination phase: Saturation
% 12.80/2.15 % (3974651)Time elapsed: 0.625 s
% 12.80/2.15 % (3974651)Peak memory usage: 18 MB
% 12.80/2.15 % (3974651)Instructions burned: 2472 (million)
% 12.80/2.15 % (3974740)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3350677919:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/302Mi)
% 12.80/2.15 % (3974742)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
% 12.80/2.15 % (3974742)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 13.01/2.24 % (3974740)Refutation not found, incomplete strategy
% 13.01/2.24 % (3974740)------------------------------
% 13.01/2.24 % (3974740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.01/2.24 % (3974740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/2.24 % (3974740)CaDiCaL version: 2.1.3
% 13.01/2.24 % (3974740)Termination reason: Refutation not found, incomplete strategy
% 13.01/2.24 % (3974740)Time elapsed: 0.001 s
% 13.01/2.24 % (3974740)Peak memory usage: 11 MB
% 13.01/2.24 % (3974741)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=487660189:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2983 on theBenchmark for (2983ds/4980Mi)
% 13.01/2.24 % (3974740)------------------------------
% 13.01/2.24 % (3974740)------------------------------
% 13.01/2.24 % (3974742)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2394075677:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2982 on theBenchmark for (2982ds/100Mi)
% 13.01/2.24 % (3974741)Refutation not found, incomplete strategy
% 13.01/2.24 % (3974741)------------------------------
% 13.01/2.24 % (3974741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.01/2.24 % (3974741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/2.24 % (3974741)CaDiCaL version: 2.1.3
% 13.01/2.24 % (3974741)Termination reason: Refutation not found, incomplete strategy
% 13.01/2.24 % (3974741)Time elapsed: 0.001 s
% 13.01/2.24 % (3974741)Peak memory usage: 11 MB
% 13.01/2.24 % (3974741)------------------------------
% 13.01/2.24 % (3974741)------------------------------
% 13.01/2.24 % (3974746)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=1086005276:i=76:piset=equals:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/76Mi)
% 13.01/2.24 % (3974747)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=3673419550:i=289:rtra=on_2982 on theBenchmark for (2982ds/289Mi)
% 13.01/2.24 % (3974747)Refutation not found, incomplete strategy
% 13.01/2.24 % (3974747)------------------------------
% 13.01/2.24 % (3974747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.01/2.24 % (3974747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/2.24 % (3974747)CaDiCaL version: 2.1.3
% 13.01/2.24 % (3974747)Termination reason: Refutation not found, incomplete strategy
% 13.01/2.24 % (3974747)Time elapsed: 0.001 s
% 13.01/2.24 % (3974747)Peak memory usage: 11 MB
% 13.01/2.24 % (3974747)Instructions burned: 1 (million)
% 13.01/2.24 % (3974747)------------------------------
% 13.01/2.24 % (3974747)------------------------------
% 13.01/2.24 % (3974742)Instruction limit reached!
% 13.01/2.24 % (3974742)------------------------------
% 13.01/2.24 % (3974742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.01/2.24 % (3974742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/2.24 % (3974742)CaDiCaL version: 2.1.3
% 13.01/2.24 % (3974742)Termination reason: Instruction limit
% 13.01/2.24 % (3974742)Termination phase: Saturation
% 13.01/2.24 % (3974742)Time elapsed: 0.024 s
% 13.01/2.24 % (3974742)Peak memory usage: 12 MB
% 13.01/2.24 % (3974742)Instructions burned: 102 (million)
% 13.01/2.24 % (3974732)Instruction limit reached!
% 13.01/2.24 % (3974732)------------------------------
% 13.01/2.24 % (3974732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.01/2.24 % (3974732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.01/2.24 % (3974732)CaDiCaL version: 2.1.3
% 13.01/2.24 % (3974732)Termination reason: Instruction limit
% 13.01/2.24 % (3974732)Termination phase: Saturation
% 13.01/2.24 % (3974732)Time elapsed: 0.190 s
% 13.01/2.24 % (3974732)Peak memory usage: 12 MB
% 13.01/2.24 % (3974732)Instructions burned: 431 (million)
% 13.01/2.24 % (3974751)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=328983996:cond=on:i=34:hud=10:nm=10:rtra=on_2982 on theBenchmark for (2982ds/34Mi)
% 13.01/2.24 % (3974750)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=4189056486:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2982 on theBenchmark for (2982ds/493Mi)
% 13.37/2.33 % (3974751)Instruction limit reached!
% 13.37/2.33 % (3974751)------------------------------
% 13.37/2.33 % (3974751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.37/2.33 % (3974751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/2.33 % (3974751)CaDiCaL version: 2.1.3
% 13.37/2.33 % (3974751)Termination reason: Instruction limit
% 13.37/2.33 % (3974751)Termination phase: Saturation
% 13.37/2.33 % (3974751)Time elapsed: 0.009 s
% 13.37/2.33 % (3974751)Peak memory usage: 12 MB
% 13.37/2.33 % (3974751)Instructions burned: 35 (million)
% 13.37/2.33 % (3974752)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 13.37/2.33 % (3974752)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=976796448:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2982 on theBenchmark for (2982ds/372Mi)
% 13.37/2.33 % (3974752)Refutation not found, incomplete strategy
% 13.37/2.33 % (3974752)------------------------------
% 13.37/2.33 % (3974752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.37/2.33 % (3974752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/2.33 % (3974752)CaDiCaL version: 2.1.3
% 13.37/2.33 % (3974752)Termination reason: Refutation not found, incomplete strategy
% 13.37/2.33 % (3974752)Time elapsed: 0.002 s
% 13.37/2.33 % (3974752)Peak memory usage: 11 MB
% 13.37/2.33 % (3974752)Instructions burned: 3 (million)
% 13.37/2.33 % (3974752)------------------------------
% 13.37/2.33 % (3974752)------------------------------
% 13.37/2.33 % (3974629)Instruction limit reached!
% 13.37/2.33 % (3974629)------------------------------
% 13.37/2.33 % (3974629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.37/2.33 % (3974629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/2.33 % (3974629)CaDiCaL version: 2.1.3
% 13.37/2.33 % (3974629)Termination reason: Instruction limit
% 13.37/2.33 % (3974629)Termination phase: Saturation
% 13.37/2.33 % (3974629)Time elapsed: 0.838 s
% 13.37/2.33 % (3974629)Peak memory usage: 13 MB
% 13.37/2.33 % (3974629)Instructions burned: 2187 (million)
% 13.37/2.33 % (3974755)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=2477194849:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2982 on theBenchmark for (2982ds/670Mi)
% 13.37/2.33 % (3974746)Instruction limit reached!
% 13.37/2.33 % (3974746)------------------------------
% 13.37/2.33 % (3974746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.37/2.33 % (3974746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/2.33 % (3974746)CaDiCaL version: 2.1.3
% 13.37/2.33 % (3974746)Termination reason: Instruction limit
% 13.37/2.33 % (3974746)Termination phase: Saturation
% 13.37/2.33 % (3974746)Time elapsed: 0.037 s
% 13.37/2.33 % (3974746)Peak memory usage: 12 MB
% 13.37/2.33 % (3974746)Instructions burned: 77 (million)
% 13.37/2.33 % (3974758)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3604815444:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/647Mi)
% 13.37/2.33 % (3974759)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=2278778839:i=857:add=off:kws=frequency:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/857Mi)
% 13.37/2.33 % (3974758)Refutation not found, incomplete strategy
% 13.37/2.33 % (3974758)------------------------------
% 13.37/2.33 % (3974758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.37/2.33 % (3974758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.37/2.33 % (3974758)CaDiCaL version: 2.1.3
% 13.37/2.33 % (3974758)Termination reason: Refutation not found, incomplete strategy
% 13.37/2.33 % (3974758)Time elapsed: 0.0000 s
% 13.37/2.33 % (3974758)Peak memory usage: 11 MB
% 13.37/2.33 % (3974758)------------------------------
% 13.37/2.33 % (3974758)------------------------------
% 13.37/2.33 % (3974760)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=2186294255:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2982 on theBenchmark for (2982ds/693Mi)
% 13.37/2.33 % (3974763)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=745819316:i=285:hud=10:bd=all:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/285Mi)
% 13.78/2.48 % (3974763)Refutation not found, incomplete strategy
% 13.78/2.48 % (3974763)------------------------------
% 13.78/2.48 % (3974763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.48 % (3974763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.48 % (3974763)CaDiCaL version: 2.1.3
% 13.78/2.48 % (3974763)Termination reason: Refutation not found, incomplete strategy
% 13.78/2.48 % (3974763)Time elapsed: 0.002 s
% 13.78/2.48 % (3974763)Peak memory usage: 11 MB
% 13.78/2.48 % (3974763)Instructions burned: 1 (million)
% 13.78/2.48 % (3974763)------------------------------
% 13.78/2.48 % (3974763)------------------------------
% 13.78/2.48 % (3974766)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 13.78/2.48 % (3974766)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=1077348162:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2981 on theBenchmark for (2981ds/52Mi)
% 13.78/2.48 % (3974766)Instruction limit reached!
% 13.78/2.48 % (3974766)------------------------------
% 13.78/2.48 % (3974766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.48 % (3974766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.48 % (3974766)CaDiCaL version: 2.1.3
% 13.78/2.48 % (3974766)Termination reason: Instruction limit
% 13.78/2.48 % (3974766)Termination phase: Saturation
% 13.78/2.48 % (3974766)Time elapsed: 0.020 s
% 13.78/2.48 % (3974766)Peak memory usage: 12 MB
% 13.78/2.48 % (3974766)Instructions burned: 55 (million)
% 13.78/2.48 % (3974736)Instruction limit reached!
% 13.78/2.48 % (3974736)------------------------------
% 13.78/2.48 % (3974736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.48 % (3974736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.48 % (3974736)CaDiCaL version: 2.1.3
% 13.78/2.48 % (3974736)Termination reason: Instruction limit
% 13.78/2.48 % (3974736)Termination phase: Saturation
% 13.78/2.48 % (3974736)Time elapsed: 0.222 s
% 13.78/2.48 % (3974736)Peak memory usage: 14 MB
% 13.78/2.48 % (3974736)Instructions burned: 446 (million)
% 13.78/2.48 % (3974768)dis+10_1_si=on:random_seed=3671916737:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2981 on theBenchmark for (2981ds/407Mi)
% 13.78/2.48 % (3974768)Refutation not found, incomplete strategy
% 13.78/2.48 % (3974768)------------------------------
% 13.78/2.48 % (3974768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.48 % (3974768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.48 % (3974768)CaDiCaL version: 2.1.3
% 13.78/2.48 % (3974768)Termination reason: Refutation not found, incomplete strategy
% 13.78/2.48 % (3974768)Time elapsed: 0.001 s
% 13.78/2.48 % (3974768)Peak memory usage: 11 MB
% 13.78/2.48 % (3974768)------------------------------
% 13.78/2.48 % (3974768)------------------------------
% 13.78/2.48 % (3974769)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=1941798749:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/2240Mi)
% 13.78/2.48 % (3974771)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=2117854278:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/336Mi)
% 13.78/2.48 % (3974771)Refutation not found, incomplete strategy
% 13.78/2.48 % (3974771)------------------------------
% 13.78/2.48 % (3974771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.48 % (3974771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.48 % (3974771)CaDiCaL version: 2.1.3
% 13.78/2.48 % (3974771)Termination reason: Refutation not found, incomplete strategy
% 13.78/2.48 % (3974771)Time elapsed: 0.0000 s
% 13.78/2.48 % (3974771)Peak memory usage: 11 MB
% 13.78/2.48 % (3974771)------------------------------
% 13.78/2.48 % (3974771)------------------------------
% 13.78/2.48 % (3974755)Instruction limit reached!
% 13.78/2.48 % (3974755)------------------------------
% 13.78/2.48 % (3974755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.48 % (3974755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.48 % (3974755)CaDiCaL version: 2.1.3
% 15.21/2.75 % (3974755)Termination reason: Instruction limit
% 15.21/2.75 % (3974755)Termination phase: Saturation
% 15.21/2.75 % (3974755)Time elapsed: 0.123 s
% 15.21/2.75 % (3974755)Peak memory usage: 12 MB
% 15.21/2.75 % (3974755)Instructions burned: 672 (million)
% 15.21/2.75 % (3974774)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=2801414459:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2981 on theBenchmark for (2981ds/1142Mi)
% 15.21/2.75 % (3974775)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=1853525042:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/376Mi)
% 15.21/2.75 % (3974775)Refutation not found, incomplete strategy
% 15.21/2.75 % (3974775)------------------------------
% 15.21/2.75 % (3974775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.21/2.75 % (3974775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/2.75 % (3974775)CaDiCaL version: 2.1.3
% 15.21/2.75 % (3974775)Termination reason: Refutation not found, incomplete strategy
% 15.21/2.75 % (3974775)Time elapsed: 0.001 s
% 15.21/2.75 % (3974775)Peak memory usage: 11 MB
% 15.21/2.75 % (3974775)------------------------------
% 15.21/2.75 % (3974775)------------------------------
% 15.21/2.75 % (3974778)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=1815088527:i=766:bd=all:rtra=on_2980 on theBenchmark for (2980ds/766Mi)
% 15.21/2.75 % (3974778)Refutation not found, incomplete strategy
% 15.21/2.75 % (3974778)------------------------------
% 15.21/2.75 % (3974778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.21/2.75 % (3974778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/2.75 % (3974778)CaDiCaL version: 2.1.3
% 15.21/2.75 % (3974778)Termination reason: Refutation not found, incomplete strategy
% 15.21/2.75 % (3974778)Time elapsed: 0.001 s
% 15.21/2.75 % (3974778)Peak memory usage: 12 MB
% 15.21/2.75 % (3974778)Instructions burned: 1 (million)
% 15.21/2.75 % (3974778)------------------------------
% 15.21/2.75 % (3974778)------------------------------
% 15.21/2.75 % (3974780)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 15.21/2.75 % (3974780)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=3873450317:st=3:uwa_fpi=on:i=959:fgj=on:piset=pi_sigma:hud=5:nm=16:rtra=on:fe=abstraction:ss=axioms:ixr=off:ntd=on_2980 on theBenchmark for (2980ds/959Mi)
% 15.21/2.75 % (3974780)Refutation not found, incomplete strategy
% 15.21/2.75 % (3974780)------------------------------
% 15.21/2.75 % (3974780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.21/2.75 % (3974780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/2.75 % (3974780)CaDiCaL version: 2.1.3
% 15.21/2.75 % (3974780)Termination reason: Refutation not found, incomplete strategy
% 15.21/2.75 % (3974780)Time elapsed: 0.0000 s
% 15.21/2.75 % (3974780)Peak memory usage: 11 MB
% 15.21/2.75 % (3974780)------------------------------
% 15.21/2.75 % (3974780)------------------------------
% 15.21/2.75 % (3974750)Instruction limit reached!
% 15.21/2.75 % (3974750)------------------------------
% 15.21/2.75 % (3974750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.21/2.75 % (3974750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.21/2.75 % (3974750)CaDiCaL version: 2.1.3
% 15.21/2.75 % (3974750)Termination reason: Instruction limit
% 15.21/2.75 % (3974750)Termination phase: Saturation
% 15.21/2.75 % (3974750)Time elapsed: 0.208 s
% 15.21/2.75 % (3974750)Peak memory usage: 13 MB
% 15.21/2.75 % (3974750)Instructions burned: 495 (million)
% 15.21/2.75 % (3974782)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=3003133966:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2980 on theBenchmark for (2980ds/6359Mi)
% 15.21/2.75 % (3974783)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=345282167:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2980 on theBenchmark for (2980ds/35Mi)
% 15.21/2.75 % (3974783)Refutation not found, incomplete strategy
% 15.21/2.75 % (3974783)------------------------------
% 15.21/2.75 % (3974783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.21/2.75 % (3974783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/2.85 % (3974783)CaDiCaL version: 2.1.3
% 16.41/2.85 % (3974783)Termination reason: Refutation not found, incomplete strategy
% 16.41/2.85 % (3974783)Time elapsed: 0.0000 s
% 16.41/2.85 % (3974783)Peak memory usage: 11 MB
% 16.41/2.85 % (3974783)------------------------------
% 16.41/2.85 % (3974783)------------------------------
% 16.41/2.85 % (3974786)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=1563110180:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2980 on theBenchmark for (2980ds/53Mi)
% 16.41/2.85 % (3974786)Instruction limit reached!
% 16.41/2.85 % (3974786)------------------------------
% 16.41/2.85 % (3974786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.41/2.85 % (3974786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/2.85 % (3974786)CaDiCaL version: 2.1.3
% 16.41/2.85 % (3974786)Termination reason: Instruction limit
% 16.41/2.85 % (3974786)Termination phase: Saturation
% 16.41/2.85 % (3974786)Time elapsed: 0.028 s
% 16.41/2.85 % (3974786)Peak memory usage: 12 MB
% 16.41/2.85 % (3974786)Instructions burned: 54 (million)
% 16.41/2.85 % (3974788)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=3101569125:s2a=on:i=876:s2at=6:nm=2:rtra=on_2979 on theBenchmark for (2979ds/876Mi)
% 16.41/2.85 % (3974760)Instruction limit reached!
% 16.41/2.85 % (3974760)------------------------------
% 16.41/2.85 % (3974760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.41/2.85 % (3974760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/2.85 % (3974760)CaDiCaL version: 2.1.3
% 16.41/2.85 % (3974760)Termination reason: Instruction limit
% 16.41/2.85 % (3974760)Termination phase: Saturation
% 16.41/2.85 % (3974760)Time elapsed: 0.273 s
% 16.41/2.85 % (3974760)Peak memory usage: 12 MB
% 16.41/2.85 % (3974760)Instructions burned: 695 (million)
% 16.41/2.85 % (3974790)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2395138490:i=57:ep=R:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/57Mi)
% 16.41/2.85 % (3974790)Instruction limit reached!
% 16.41/2.85 % (3974790)------------------------------
% 16.41/2.85 % (3974790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.41/2.85 % (3974790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/2.85 % (3974790)CaDiCaL version: 2.1.3
% 16.41/2.85 % (3974790)Termination reason: Instruction limit
% 16.41/2.85 % (3974790)Termination phase: Saturation
% 16.41/2.85 % (3974790)Time elapsed: 0.027 s
% 16.41/2.85 % (3974790)Peak memory usage: 12 MB
% 16.41/2.85 % (3974790)Instructions burned: 58 (million)
% 16.41/2.85 % (3974759)Instruction limit reached!
% 16.41/2.85 % (3974759)------------------------------
% 16.41/2.85 % (3974759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.41/2.85 % (3974759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/2.85 % (3974759)CaDiCaL version: 2.1.3
% 16.41/2.85 % (3974759)Termination reason: Instruction limit
% 16.41/2.85 % (3974759)Termination phase: Saturation
% 16.41/2.85 % (3974759)Time elapsed: 0.326 s
% 16.41/2.85 % (3974759)Peak memory usage: 12 MB
% 16.41/2.85 % (3974759)Instructions burned: 859 (million)
% 16.41/2.85 % (3974792)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 16.41/2.85 % (3974792)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=2683455528:i=306:bd=all:rtra=on_2978 on theBenchmark for (2978ds/306Mi)
% 16.41/2.85 % (3974792)Refutation not found, incomplete strategy
% 16.41/2.85 % (3974792)------------------------------
% 16.41/2.85 % (3974792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.41/2.85 % (3974792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/2.85 % (3974792)CaDiCaL version: 2.1.3
% 16.41/2.85 % (3974792)Termination reason: Refutation not found, incomplete strategy
% 16.41/2.85 % (3974792)Time elapsed: 0.001 s
% 16.41/2.85 % (3974792)Peak memory usage: 11 MB
% 16.41/2.85 % (3974792)Instructions burned: 1 (million)
% 16.41/2.85 % (3974792)------------------------------
% 16.41/2.85 % (3974792)------------------------------
% 16.41/2.85 % (3974793)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=550773626:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/262Mi)
% 16.41/2.85 % (3974793)Refutation not found, incomplete strategy
% 16.41/2.85 % (3974793)------------------------------
% 17.53/2.93 % (3974793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.53/2.93 % (3974793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.53/2.93 % (3974793)CaDiCaL version: 2.1.3
% 17.53/2.93 % (3974793)Termination reason: Refutation not found, incomplete strategy
% 17.53/2.93 % (3974793)Time elapsed: 0.001 s
% 17.53/2.93 % (3974793)Peak memory usage: 11 MB
% 17.53/2.93 % (3974793)------------------------------
% 17.53/2.93 % (3974793)------------------------------
% 17.53/2.93 % (3974795)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 17.53/2.93 % (3974795)ott+1002_16_sil=128000:si=on:random_seed=2065254040:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2978 on theBenchmark for (2978ds/409Mi)
% 17.53/2.93 % (3974797)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=783532912:s2a=on:i=381:rtra=on_2978 on theBenchmark for (2978ds/381Mi)
% 17.53/2.93 % (3974795)Instruction limit reached!
% 17.53/2.93 % (3974795)------------------------------
% 17.53/2.93 % (3974795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.53/2.93 % (3974795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.53/2.93 % (3974795)CaDiCaL version: 2.1.3
% 17.53/2.93 % (3974795)Termination reason: Instruction limit
% 17.53/2.93 % (3974795)Termination phase: Saturation
% 17.53/2.93 % (3974795)Time elapsed: 0.158 s
% 17.53/2.93 % (3974795)Peak memory usage: 13 MB
% 17.53/2.93 % (3974795)Instructions burned: 410 (million)
% 17.53/2.93 % (3974797)Instruction limit reached!
% 17.53/2.93 % (3974797)------------------------------
% 17.53/2.93 % (3974797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.53/2.93 % (3974797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.53/2.93 % (3974797)CaDiCaL version: 2.1.3
% 17.53/2.93 % (3974797)Termination reason: Instruction limit
% 17.53/2.93 % (3974797)Termination phase: Saturation
% 17.53/2.93 % (3974797)Time elapsed: 0.166 s
% 17.53/2.93 % (3974797)Peak memory usage: 12 MB
% 17.53/2.93 % (3974797)Instructions burned: 382 (million)
% 17.53/2.93 % (3974800)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1913119128:cond=on:i=324:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/324Mi)
% 17.53/2.93 % (3974801)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3449930474:i=240:kws=inv_precedence:rtra=on_2976 on theBenchmark for (2976ds/240Mi)
% 17.53/2.93 % (3974801)Refutation not found, incomplete strategy
% 17.53/2.93 % (3974801)------------------------------
% 17.53/2.93 % (3974801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.53/2.93 % (3974801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.53/2.93 % (3974801)CaDiCaL version: 2.1.3
% 17.53/2.93 % (3974801)Termination reason: Refutation not found, incomplete strategy
% 17.53/2.93 % (3974801)Time elapsed: 0.001 s
% 17.53/2.93 % (3974801)Peak memory usage: 11 MB
% 17.53/2.93 % (3974801)Instructions burned: 1 (million)
% 17.53/2.93 % (3974801)------------------------------
% 17.53/2.93 % (3974801)------------------------------
% 17.53/2.93 % (3974804)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 17.53/2.93 % (3974804)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1779054692:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/124Mi)
% 17.53/2.93 % (3974774)Instruction limit reached!
% 17.53/2.93 % (3974774)------------------------------
% 17.53/2.93 % (3974774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.53/2.93 % (3974774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.53/2.93 % (3974774)CaDiCaL version: 2.1.3
% 17.53/2.93 % (3974774)Termination reason: Instruction limit
% 17.53/2.93 % (3974774)Termination phase: Saturation
% 17.53/2.93 % (3974774)Time elapsed: 0.461 s
% 17.53/2.93 % (3974774)Peak memory usage: 14 MB
% 17.53/2.93 % (3974774)Instructions burned: 1143 (million)
% 17.53/2.93 % (3974806)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=3578239523:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2976 on theBenchmark for (2976ds/223Mi)
% 17.53/2.93 % (3974804)Instruction limit reached!
% 17.53/2.93 % (3974804)------------------------------
% 17.53/2.93 % (3974804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.53/2.93 % (3974804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/3.05 % (3974804)CaDiCaL version: 2.1.3
% 19.22/3.05 % (3974804)Termination reason: Instruction limit
% 19.22/3.05 % (3974804)Termination phase: Saturation
% 19.22/3.05 % (3974804)Time elapsed: 0.047 s
% 19.22/3.05 % (3974804)Peak memory usage: 12 MB
% 19.22/3.05 % (3974804)Instructions burned: 125 (million)
% 19.22/3.05 % (3974808)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=639418030:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2975 on theBenchmark for (2975ds/282Mi)
% 19.22/3.05 % (3974788)Instruction limit reached!
% 19.22/3.05 % (3974788)------------------------------
% 19.22/3.05 % (3974788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.22/3.05 % (3974788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/3.05 % (3974788)CaDiCaL version: 2.1.3
% 19.22/3.05 % (3974788)Termination reason: Instruction limit
% 19.22/3.05 % (3974788)Termination phase: Saturation
% 19.22/3.05 % (3974788)Time elapsed: 0.378 s
% 19.22/3.05 % (3974788)Peak memory usage: 12 MB
% 19.22/3.05 % (3974788)Instructions burned: 876 (million)
% 19.22/3.05 % (3974800)Instruction limit reached!
% 19.22/3.05 % (3974800)------------------------------
% 19.22/3.05 % (3974800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.22/3.05 % (3974800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/3.05 % (3974800)CaDiCaL version: 2.1.3
% 19.22/3.05 % (3974800)Termination reason: Instruction limit
% 19.22/3.05 % (3974800)Termination phase: Saturation
% 19.22/3.05 % (3974800)Time elapsed: 0.113 s
% 19.22/3.05 % (3974800)Peak memory usage: 12 MB
% 19.22/3.05 % (3974800)Instructions burned: 326 (million)
% 19.22/3.05 % (3974810)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=3467055819:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2975 on theBenchmark for (2975ds/464Mi)
% 19.22/3.05 % (3974810)Refutation not found, incomplete strategy
% 19.22/3.05 % (3974810)------------------------------
% 19.22/3.05 % (3974810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.22/3.05 % (3974810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/3.05 % (3974810)CaDiCaL version: 2.1.3
% 19.22/3.05 % (3974810)Termination reason: Refutation not found, incomplete strategy
% 19.22/3.05 % (3974810)Time elapsed: 0.001 s
% 19.22/3.05 % (3974810)Peak memory usage: 11 MB
% 19.22/3.05 % (3974810)Instructions burned: 1 (million)
% 19.22/3.05 % (3974810)------------------------------
% 19.22/3.05 % (3974810)------------------------------
% 19.22/3.05 % (3974811)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=2301703074:i=88:s2at=3:nm=2:rtra=on:rawr=on_2975 on theBenchmark for (2975ds/88Mi)
% 19.22/3.05 % (3974806)Instruction limit reached!
% 19.22/3.05 % (3974806)------------------------------
% 19.22/3.05 % (3974806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.22/3.05 % (3974806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/3.05 % (3974806)CaDiCaL version: 2.1.3
% 19.22/3.05 % (3974806)Termination reason: Instruction limit
% 19.22/3.05 % (3974806)Termination phase: Saturation
% 19.22/3.05 % (3974806)Time elapsed: 0.073 s
% 19.22/3.05 % (3974806)Peak memory usage: 13 MB
% 19.22/3.05 % (3974806)Instructions burned: 223 (million)
% 19.22/3.05 % (3974813)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2877651989:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2975 on theBenchmark for (2975ds/280Mi)
% 19.22/3.05 % (3974815)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 19.22/3.05 % (3974815)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1477936071:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/4386Mi)
% 19.22/3.05 % (3974811)Instruction limit reached!
% 19.22/3.05 % (3974811)------------------------------
% 19.22/3.05 % (3974811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.22/3.05 % (3974811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.22/3.05 % (3974811)CaDiCaL version: 2.1.3
% 19.22/3.05 % (3974811)Termination reason: Instruction limit
% 19.22/3.05 % (3974811)Termination phase: Saturation
% 19.22/3.05 % (3974811)Time elapsed: 0.038 s
% 19.22/3.05 % (3974811)Peak memory usage: 12 MB
% 20.26/3.28 % (3974811)Instructions burned: 90 (million)
% 20.26/3.28 % (3974818)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 20.26/3.28 % (3974818)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 20.26/3.28 % (3974818)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=2615102157:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2974 on theBenchmark for (2974ds/483Mi)
% 20.26/3.28 % (3974818)Refutation not found, incomplete strategy
% 20.26/3.28 % (3974818)------------------------------
% 20.26/3.28 % (3974818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.26/3.28 % (3974818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.26/3.28 % (3974818)CaDiCaL version: 2.1.3
% 20.26/3.28 % (3974818)Termination reason: Refutation not found, incomplete strategy
% 20.26/3.28 % (3974818)Time elapsed: 0.001 s
% 20.26/3.28 % (3974818)Peak memory usage: 12 MB
% 20.26/3.28 % (3974818)------------------------------
% 20.26/3.28 % (3974818)------------------------------
% 20.26/3.28 % (3974769)Instruction limit reached!
% 20.26/3.28 % (3974769)------------------------------
% 20.26/3.28 % (3974769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.26/3.28 % (3974769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.26/3.28 % (3974769)CaDiCaL version: 2.1.3
% 20.26/3.28 % (3974769)Termination reason: Instruction limit
% 20.26/3.28 % (3974769)Termination phase: Saturation
% 20.26/3.28 % (3974769)Time elapsed: 0.643 s
% 20.26/3.28 % (3974769)Peak memory usage: 16 MB
% 20.26/3.28 % (3974769)Instructions burned: 2242 (million)
% 20.26/3.28 % (3974821)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3311803177: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)
% 20.26/3.28 % (3974820)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1224628985:i=73:rtra=on_2974 on theBenchmark for (2974ds/73Mi)
% 20.26/3.28 % (3974820)Refutation not found, incomplete strategy
% 20.26/3.28 % (3974820)------------------------------
% 20.26/3.28 % (3974820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.26/3.28 % (3974820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.26/3.28 % (3974820)CaDiCaL version: 2.1.3
% 20.26/3.28 % (3974820)Termination reason: Refutation not found, incomplete strategy
% 20.26/3.28 % (3974820)Time elapsed: 0.001 s
% 20.26/3.28 % (3974820)Peak memory usage: 11 MB
% 20.26/3.28 % (3974820)Instructions burned: 1 (million)
% 20.26/3.28 % (3974820)------------------------------
% 20.26/3.28 % (3974820)------------------------------
% 20.26/3.28 % (3974808)Instruction limit reached!
% 20.26/3.28 % (3974808)------------------------------
% 20.26/3.28 % (3974808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.26/3.28 % (3974808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.26/3.28 % (3974808)CaDiCaL version: 2.1.3
% 20.26/3.28 % (3974808)Termination reason: Instruction limit
% 20.26/3.28 % (3974808)Termination phase: Saturation
% 20.26/3.28 % (3974808)Time elapsed: 0.125 s
% 20.26/3.28 % (3974808)Peak memory usage: 13 MB
% 20.26/3.28 % (3974808)Instructions burned: 283 (million)
% 20.26/3.28 % (3974824)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 20.26/3.28 % (3974824)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1696247804:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2974 on theBenchmark for (2974ds/39Mi)
% 20.26/3.28 % (3974825)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1217583245:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2974 on theBenchmark for (2974ds/708Mi)
% 20.26/3.28 % (3974821)Instruction limit reached!
% 20.26/3.28 % (3974821)------------------------------
% 20.26/3.28 % (3974821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.26/3.28 % (3974821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.26/3.28 % (3974821)CaDiCaL version: 2.1.3
% 20.26/3.28 % (3974821)Termination reason: Instruction limit
% 20.26/3.28 % (3974821)Termination phase: Saturation
% 20.26/3.28 % (3974821)Time elapsed: 0.042 s
% 20.26/3.28 % (3974821)Peak memory usage: 12 MB
% 20.82/3.37 % (3974821)Instructions burned: 176 (million)
% 20.82/3.37 % (3974824)Instruction limit reached!
% 20.82/3.37 % (3974824)------------------------------
% 20.82/3.37 % (3974824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.82/3.37 % (3974824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.82/3.37 % (3974824)CaDiCaL version: 2.1.3
% 20.82/3.37 % (3974824)Termination reason: Instruction limit
% 20.82/3.37 % (3974824)Termination phase: Saturation
% 20.82/3.37 % (3974824)Time elapsed: 0.020 s
% 20.82/3.37 % (3974824)Peak memory usage: 12 MB
% 20.82/3.37 % (3974824)Instructions burned: 39 (million)
% 20.82/3.37 % (3974828)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
% 20.82/3.37 % (3974828)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=2266304245:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/252Mi)
% 20.82/3.37 % (3974829)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=2182217351:i=823:fsr=off:rtra=on_2974 on theBenchmark for (2974ds/823Mi)
% 20.82/3.37 % (3974813)Instruction limit reached!
% 20.82/3.37 % (3974813)------------------------------
% 20.82/3.37 % (3974813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.82/3.37 % (3974813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.82/3.37 % (3974813)CaDiCaL version: 2.1.3
% 20.82/3.37 % (3974813)Termination reason: Instruction limit
% 20.82/3.37 % (3974813)Termination phase: Saturation
% 20.82/3.37 % (3974813)Time elapsed: 0.144 s
% 20.82/3.37 % (3974813)Peak memory usage: 12 MB
% 20.82/3.37 % (3974813)Instructions burned: 280 (million)
% 20.82/3.37 % (3974832)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 20.82/3.37 % (3974832)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=527024999:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2973 on theBenchmark for (2973ds/16202Mi)
% 20.82/3.37 % (3974832)Refutation not found, incomplete strategy
% 20.82/3.37 % (3974832)------------------------------
% 20.82/3.37 % (3974832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.82/3.37 % (3974832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.82/3.37 % (3974832)CaDiCaL version: 2.1.3
% 20.82/3.37 % (3974832)Termination reason: Refutation not found, incomplete strategy
% 20.82/3.37 % (3974832)Time elapsed: 0.001 s
% 20.82/3.37 % (3974832)Peak memory usage: 11 MB
% 20.82/3.37 % (3974832)Instructions burned: 1 (million)
% 20.82/3.37 % (3974832)------------------------------
% 20.82/3.37 % (3974832)------------------------------
% 20.82/3.37 % (3974828)Instruction limit reached!
% 20.82/3.37 % (3974828)------------------------------
% 20.82/3.37 % (3974828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.82/3.37 % (3974828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.82/3.37 % (3974828)CaDiCaL version: 2.1.3
% 20.82/3.37 % (3974828)Termination reason: Instruction limit
% 20.82/3.37 % (3974828)Termination phase: Saturation
% 20.82/3.37 % (3974828)Time elapsed: 0.052 s
% 20.82/3.37 % (3974828)Peak memory usage: 13 MB
% 20.82/3.37 % (3974828)Instructions burned: 253 (million)
% 20.82/3.37 % (3974835)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 20.82/3.37 % (3974835)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 20.82/3.37 % (3974834)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=4247377366:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/300Mi)
% 20.82/3.37 % (3974835)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=464005612:i=177:add=on:bd=preordered:rtra=on:rawr=on_2973 on theBenchmark for (2973ds/177Mi)
% 20.82/3.37 % (3974835)Instruction limit reached!
% 20.82/3.37 % (3974835)------------------------------
% 20.82/3.37 % (3974835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.82/3.37 % (3974835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.47 % (3974835)CaDiCaL version: 2.1.3
% 21.52/3.47 % (3974835)Termination reason: Instruction limit
% 21.52/3.47 % (3974835)Termination phase: Saturation
% 21.52/3.47 % (3974835)Time elapsed: 0.044 s
% 21.52/3.47 % (3974835)Peak memory usage: 12 MB
% 21.52/3.47 % (3974835)Instructions burned: 181 (million)
% 21.52/3.47 % (3974838)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=2163246045:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2972 on theBenchmark for (2972ds/715Mi)
% 21.52/3.47 % (3974838)Refutation not found, incomplete strategy
% 21.52/3.47 % (3974838)------------------------------
% 21.52/3.47 % (3974838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.47 % (3974838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.47 % (3974838)CaDiCaL version: 2.1.3
% 21.52/3.47 % (3974838)Termination reason: Refutation not found, incomplete strategy
% 21.52/3.47 % (3974838)Time elapsed: 0.0000 s
% 21.52/3.47 % (3974838)Peak memory usage: 11 MB
% 21.52/3.47 % (3974838)Instructions burned: 2 (million)
% 21.52/3.47 % (3974838)------------------------------
% 21.52/3.47 % (3974838)------------------------------
% 21.52/3.47 % (3974840)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 21.52/3.47 % (3974840)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 21.52/3.47 % (3974840)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=1709073846:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2972 on theBenchmark for (2972ds/230Mi)
% 21.52/3.47 % (3974840)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 21.52/3.47 % (3974840)Instruction limit reached!
% 21.52/3.47 % (3974840)------------------------------
% 21.52/3.47 % (3974840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.47 % (3974840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.47 % (3974840)CaDiCaL version: 2.1.3
% 21.52/3.47 % (3974840)Termination reason: Instruction limit
% 21.52/3.47 % (3974840)Termination phase: Saturation
% 21.52/3.47 % (3974840)Time elapsed: 0.056 s
% 21.52/3.47 % (3974840)Peak memory usage: 12 MB
% 21.52/3.47 % (3974840)Instructions burned: 234 (million)
% 21.52/3.47 % (3974834)Instruction limit reached!
% 21.52/3.47 % (3974834)------------------------------
% 21.52/3.47 % (3974834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.47 % (3974834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.47 % (3974834)CaDiCaL version: 2.1.3
% 21.52/3.47 % (3974834)Termination reason: Instruction limit
% 21.52/3.47 % (3974834)Termination phase: Saturation
% 21.52/3.47 % (3974834)Time elapsed: 0.131 s
% 21.52/3.47 % (3974834)Peak memory usage: 12 MB
% 21.52/3.47 % (3974834)Instructions burned: 301 (million)
% 21.52/3.47 % (3974842)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1020464688: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)
% 21.52/3.47 % (3974825)Instruction limit reached!
% 21.52/3.47 % (3974825)------------------------------
% 21.52/3.47 % (3974825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.52/3.47 % (3974825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.52/3.47 % (3974825)CaDiCaL version: 2.1.3
% 21.52/3.47 % (3974825)Termination reason: Instruction limit
% 21.52/3.47 % (3974825)Termination phase: Saturation
% 21.52/3.47 % (3974825)Time elapsed: 0.227 s
% 21.52/3.47 % (3974825)Peak memory usage: 13 MB
% 21.52/3.47 % (3974825)Instructions burned: 710 (million)
% 21.52/3.47 % (3974843)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 21.52/3.47 % (3974843)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=3047333107:lrd=on:i=841:nm=0:rtra=on_2972 on theBenchmark for (2972ds/841Mi)
% 21.52/3.47 % (3974845)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1605965837:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2971 on theBenchmark for (2971ds/445Mi)
% 21.52/3.47 % (3974842)Instruction limit reached!
% 21.52/3.47 % (3974842)------------------------------
% 21.52/3.47 % (3974842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.02/3.52 % (3974842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.02/3.52 % (3974842)CaDiCaL version: 2.1.3
% 22.02/3.52 % (3974842)Termination reason: Instruction limit
% 22.02/3.52 % (3974842)Termination phase: Saturation
% 22.02/3.52 % (3974842)Time elapsed: 0.143 s
% 22.02/3.52 % (3974842)Peak memory usage: 12 MB
% 22.02/3.52 % (3974842)Instructions burned: 610 (million)
% 22.02/3.52 % (3974829)Instruction limit reached!
% 22.02/3.52 % (3974829)------------------------------
% 22.02/3.52 % (3974829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.02/3.52 % (3974829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.02/3.52 % (3974829)CaDiCaL version: 2.1.3
% 22.02/3.52 % (3974829)Termination reason: Instruction limit
% 22.02/3.52 % (3974829)Termination phase: Saturation
% 22.02/3.52 % (3974829)Time elapsed: 0.339 s
% 22.02/3.52 % (3974829)Peak memory usage: 12 MB
% 22.02/3.52 % (3974829)Instructions burned: 823 (million)
% 22.02/3.52 % (3974848)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1106689396:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2970 on theBenchmark for (2970ds/71Mi)
% 22.02/3.52 % (3974849)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
% 22.02/3.52 % (3974849)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 22.02/3.52 % (3974849)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4233373954:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2970 on theBenchmark for (2970ds/100Mi)
% 22.02/3.52 % (3974848)Instruction limit reached!
% 22.02/3.52 % (3974848)------------------------------
% 22.02/3.52 % (3974848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.02/3.52 % (3974848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.02/3.52 % (3974848)CaDiCaL version: 2.1.3
% 22.02/3.52 % (3974848)Termination reason: Instruction limit
% 22.02/3.52 % (3974848)Termination phase: Saturation
% 22.02/3.52 % (3974848)Time elapsed: 0.022 s
% 22.02/3.52 % (3974848)Peak memory usage: 12 MB
% 22.02/3.52 % (3974848)Instructions burned: 74 (million)
% 22.02/3.52 % (3974852)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 22.02/3.52 % (3974852)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=386275130:i=1352:add=on:aac=none:rtra=on_2970 on theBenchmark for (2970ds/1352Mi)
% 22.02/3.52 % (3974852)Refutation not found, incomplete strategy
% 22.02/3.52 % (3974852)------------------------------
% 22.02/3.52 % (3974852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.02/3.52 % (3974852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.02/3.52 % (3974852)CaDiCaL version: 2.1.3
% 22.02/3.52 % (3974852)Termination reason: Refutation not found, incomplete strategy
% 22.02/3.52 % (3974852)Time elapsed: 0.001 s
% 22.02/3.52 % (3974852)Peak memory usage: 11 MB
% 22.02/3.52 % (3974852)Instructions burned: 3 (million)
% 22.02/3.52 % (3974852)------------------------------
% 22.02/3.52 % (3974852)------------------------------
% 22.02/3.52 % (3974854)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=2296103586:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2970 on theBenchmark for (2970ds/646Mi)
% 22.02/3.52 % (3974849)Instruction limit reached!
% 22.02/3.52 % (3974849)------------------------------
% 22.02/3.52 % (3974849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.02/3.52 % (3974849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.02/3.52 % (3974849)CaDiCaL version: 2.1.3
% 22.02/3.52 % (3974849)Termination reason: Instruction limit
% 22.02/3.52 % (3974849)Termination phase: Saturation
% 22.02/3.52 % (3974849)Time elapsed: 0.044 s
% 22.02/3.52 % (3974849)Peak memory usage: 12 MB
% 22.02/3.52 % (3974849)Instructions burned: 100 (million)
% 22.02/3.52 % (3974856)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=3214352592:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2969 on theBenchmark for (2969ds/1924Mi)
% 22.78/3.70 % (3974856)Refutation not found, incomplete strategy
% 22.78/3.70 % (3974856)------------------------------
% 22.78/3.70 % (3974856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.78/3.70 % (3974856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.78/3.70 % (3974856)CaDiCaL version: 2.1.3
% 22.78/3.70 % (3974856)Termination reason: Refutation not found, incomplete strategy
% 22.78/3.70 % (3974856)Time elapsed: 0.001 s
% 22.78/3.70 % (3974856)Peak memory usage: 11 MB
% 22.78/3.70 % (3974856)------------------------------
% 22.78/3.70 % (3974856)------------------------------
% 22.78/3.70 % (3974845)Instruction limit reached!
% 22.78/3.70 % (3974845)------------------------------
% 22.78/3.70 % (3974845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.78/3.70 % (3974845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.78/3.70 % (3974845)CaDiCaL version: 2.1.3
% 22.78/3.70 % (3974845)Termination reason: Instruction limit
% 22.78/3.70 % (3974845)Termination phase: Saturation
% 22.78/3.70 % (3974845)Time elapsed: 0.220 s
% 22.78/3.70 % (3974845)Peak memory usage: 14 MB
% 22.78/3.70 % (3974845)Instructions burned: 445 (million)
% 22.78/3.70 % (3974858)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2323905616:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2969 on theBenchmark for (2969ds/984Mi)
% 22.78/3.70 % (3974858)Refutation not found, incomplete strategy
% 22.78/3.70 % (3974858)------------------------------
% 22.78/3.70 % (3974858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.78/3.70 % (3974858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.78/3.70 % (3974858)CaDiCaL version: 2.1.3
% 22.78/3.70 % (3974858)Termination reason: Refutation not found, incomplete strategy
% 22.78/3.70 % (3974858)Time elapsed: 0.001 s
% 22.78/3.70 % (3974858)Peak memory usage: 11 MB
% 22.78/3.70 % (3974858)Instructions burned: 1 (million)
% 22.78/3.70 % (3974858)------------------------------
% 22.78/3.70 % (3974858)------------------------------
% 22.78/3.70 % (3974859)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=3353975589:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2969 on theBenchmark for (2969ds/592Mi)
% 22.78/3.70 % (3974861)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=2409878463:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2969 on theBenchmark for (2969ds/872Mi)
% 22.78/3.70 % (3974861)Refutation not found, incomplete strategy
% 22.78/3.70 % (3974861)------------------------------
% 22.78/3.70 % (3974861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.78/3.70 % (3974861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.78/3.70 % (3974861)CaDiCaL version: 2.1.3
% 22.78/3.70 % (3974861)Termination reason: Refutation not found, incomplete strategy
% 22.78/3.70 % (3974861)Time elapsed: 0.001 s
% 22.78/3.70 % (3974861)Peak memory usage: 11 MB
% 22.78/3.70 % (3974861)------------------------------
% 22.78/3.70 % (3974861)------------------------------
% 22.78/3.70 % (3974864)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 22.78/3.70 % (3974864)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=2089920282:i=999:add=on:rtra=on_2969 on theBenchmark for (2969ds/999Mi)
% 22.78/3.70 % (3974854)Instruction limit reached!
% 22.78/3.70 % (3974854)------------------------------
% 22.78/3.70 % (3974854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.78/3.70 % (3974854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.78/3.70 % (3974854)CaDiCaL version: 2.1.3
% 22.78/3.70 % (3974854)Termination reason: Instruction limit
% 22.78/3.70 % (3974854)Termination phase: Saturation
% 22.78/3.70 % (3974854)Time elapsed: 0.113 s
% 22.78/3.70 % (3974854)Peak memory usage: 14 MB
% 22.78/3.70 % (3974854)Instructions burned: 646 (million)
% 22.78/3.70 % (3974866)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 22.78/3.70 % (3974866)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=781948307:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2968 on theBenchmark for (2968ds/244Mi)
% 22.78/3.70 % (3974866)Refutation not found, incomplete strategy
% 23.87/3.88 % (3974866)------------------------------
% 23.87/3.88 % (3974866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.87/3.88 % (3974866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.87/3.88 % (3974866)CaDiCaL version: 2.1.3
% 23.87/3.88 % (3974866)Termination reason: Refutation not found, incomplete strategy
% 23.87/3.88 % (3974866)Time elapsed: 0.001 s
% 23.87/3.88 % (3974866)Peak memory usage: 11 MB
% 23.87/3.88 % (3974866)Instructions burned: 3 (million)
% 23.87/3.88 % (3974866)------------------------------
% 23.87/3.88 % (3974866)------------------------------
% 23.87/3.88 % (3974868)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=241467041:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2968 on theBenchmark for (2968ds/113Mi)
% 23.87/3.88 % (3974868)Refutation not found, incomplete strategy
% 23.87/3.88 % (3974868)------------------------------
% 23.87/3.88 % (3974868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.87/3.88 % (3974868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.87/3.88 % (3974868)CaDiCaL version: 2.1.3
% 23.87/3.88 % (3974868)Termination reason: Refutation not found, incomplete strategy
% 23.87/3.88 % (3974868)Time elapsed: 0.0000 s
% 23.87/3.88 % (3974868)Peak memory usage: 11 MB
% 23.87/3.88 % (3974868)Instructions burned: 1 (million)
% 23.87/3.88 % (3974868)------------------------------
% 23.87/3.88 % (3974868)------------------------------
% 23.87/3.88 % (3974870)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=73897630:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/7795Mi)
% 23.87/3.88 % (3974870)Refutation not found, incomplete strategy
% 23.87/3.88 % (3974870)------------------------------
% 23.87/3.88 % (3974870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.87/3.88 % (3974870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.87/3.88 % (3974870)CaDiCaL version: 2.1.3
% 23.87/3.88 % (3974870)Termination reason: Refutation not found, incomplete strategy
% 23.87/3.88 % (3974870)Time elapsed: 0.0000 s
% 23.87/3.88 % (3974870)Peak memory usage: 11 MB
% 23.87/3.88 % (3974870)------------------------------
% 23.87/3.88 % (3974870)------------------------------
% 23.87/3.89 % (3974872)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=750320930:st=2:i=5026:sd=1:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/5026Mi)
% 23.87/3.89 % (3974872)Refutation not found, incomplete strategy
% 23.87/3.89 % (3974872)------------------------------
% 23.87/3.89 % (3974872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.87/3.89 % (3974872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.87/3.89 % (3974872)CaDiCaL version: 2.1.3
% 23.87/3.89 % (3974872)Termination reason: Refutation not found, incomplete strategy
% 23.87/3.89 % (3974872)Time elapsed: 0.0000 s
% 23.87/3.89 % (3974872)Peak memory usage: 11 MB
% 23.87/3.89 % (3974872)------------------------------
% 23.87/3.89 % (3974872)------------------------------
% 23.87/3.89 % (3974874)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 23.87/3.89 % (3974874)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=3590231732:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2968 on theBenchmark for (2968ds/763Mi)
% 23.87/3.89 % (3974874)Refutation not found, incomplete strategy
% 23.87/3.89 % (3974874)------------------------------
% 23.87/3.89 % (3974874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.87/3.89 % (3974874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.87/3.89 % (3974874)CaDiCaL version: 2.1.3
% 23.87/3.89 % (3974874)Termination reason: Refutation not found, incomplete strategy
% 23.87/3.89 % (3974874)Time elapsed: 0.0000 s
% 23.87/3.89 % (3974874)Peak memory usage: 11 MB
% 23.87/3.89 % (3974874)Instructions burned: 1 (million)
% 23.87/3.89 % (3974874)------------------------------
% 23.87/3.89 % (3974874)------------------------------
% 23.87/3.89 % (3974843)Instruction limit reached!
% 23.87/3.89 % (3974843)------------------------------
% 23.87/3.89 % (3974843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.87/3.89 % (3974843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.87/3.89 % (3974843)CaDiCaL version: 2.1.3
% 23.87/3.89 % (3974843)Termination reason: Instruction limit
% 23.87/3.89 % (3974843)Termination phase: Saturation
% 24.55/3.95 % (3974843)Time elapsed: 0.366 s
% 24.55/3.95 % (3974843)Peak memory usage: 12 MB
% 24.55/3.95 % (3974843)Instructions burned: 843 (million)
% 24.55/3.95 % (3974876)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2293177064:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2968 on theBenchmark for (2968ds/1144Mi)
% 24.55/3.95 % (3974876)Refutation not found, incomplete strategy
% 24.55/3.95 % (3974876)------------------------------
% 24.55/3.95 % (3974876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.55/3.95 % (3974876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.55/3.95 % (3974876)CaDiCaL version: 2.1.3
% 24.55/3.95 % (3974876)Termination reason: Refutation not found, incomplete strategy
% 24.55/3.95 % (3974876)Time elapsed: 0.0000 s
% 24.55/3.95 % (3974876)Peak memory usage: 11 MB
% 24.55/3.95 % (3974876)------------------------------
% 24.55/3.95 % (3974876)------------------------------
% 24.55/3.95 % (3974877)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 24.55/3.95 % (3974877)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=2119028640: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)
% 24.55/3.95 % (3974879)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=3443354045:i=1724:fsr=off:rtra=on:fe=abstraction_2968 on theBenchmark for (2968ds/1724Mi)
% 24.55/3.95 % (3974877)Instruction limit reached!
% 24.55/3.95 % (3974877)------------------------------
% 24.55/3.95 % (3974877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.55/3.95 % (3974877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.55/3.95 % (3974877)CaDiCaL version: 2.1.3
% 24.55/3.95 % (3974877)Termination reason: Instruction limit
% 24.55/3.95 % (3974877)Termination phase: Saturation
% 24.55/3.95 % (3974877)Time elapsed: 0.021 s
% 24.55/3.95 % (3974877)Peak memory usage: 12 MB
% 24.55/3.95 % (3974877)Instructions burned: 55 (million)
% 24.55/3.95 % (3974882)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=3879167662:i=439:add=on:slsql=off:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/439Mi)
% 24.55/3.95 % (3974859)Instruction limit reached!
% 24.55/3.95 % (3974859)------------------------------
% 24.55/3.95 % (3974859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.55/3.95 % (3974859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.55/3.95 % (3974859)CaDiCaL version: 2.1.3
% 24.55/3.95 % (3974859)Termination reason: Instruction limit
% 24.55/3.95 % (3974859)Termination phase: Saturation
% 24.55/3.95 % (3974859)Time elapsed: 0.254 s
% 24.55/3.95 % (3974859)Peak memory usage: 12 MB
% 24.55/3.95 % (3974859)Instructions burned: 592 (million)
% 24.55/3.95 % (3974884)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2923362297:i=6395:sd=1:rtra=on:ss=axioms_2966 on theBenchmark for (2966ds/6395Mi)
% 24.55/3.95 % (3974884)Refutation not found, incomplete strategy
% 24.55/3.95 % (3974884)------------------------------
% 24.55/3.95 % (3974884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.55/3.95 % (3974884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.55/3.95 % (3974884)CaDiCaL version: 2.1.3
% 24.55/3.95 % (3974884)Termination reason: Refutation not found, incomplete strategy
% 24.55/3.95 % (3974884)Time elapsed: 0.001 s
% 24.55/3.95 % (3974884)Peak memory usage: 11 MB
% 24.55/3.95 % (3974884)------------------------------
% 24.55/3.95 % (3974884)------------------------------
% 24.55/3.95 % (3974886)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 24.55/3.95 % (3974886)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=2212248480:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2966 on theBenchmark for (2966ds/6762Mi)
% 24.55/3.95 % (3974886)Refutation not found, incomplete strategy
% 24.55/3.95 % (3974886)------------------------------
% 24.55/3.95 % (3974886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.55/3.95 % (3974886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.55/3.95 % (3974886)CaDiCaL version: 2.1.3
% 24.55/3.95 % (3974886)Termination reason: Refutation not found, incomplete strategy
% 27.93/4.35 % (3974886)Time elapsed: 0.0000 s
% 27.93/4.35 % (3974886)Peak memory usage: 11 MB
% 27.93/4.35 % (3974886)------------------------------
% 27.93/4.35 % (3974886)------------------------------
% 27.93/4.35 % (3974888)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 27.93/4.35 % (3974882)Instruction limit reached!
% 27.93/4.35 % (3974882)------------------------------
% 27.93/4.35 % (3974882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.93/4.35 % (3974882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.93/4.35 % (3974882)CaDiCaL version: 2.1.3
% 27.93/4.35 % (3974882)Termination reason: Instruction limit
% 27.93/4.35 % (3974882)Termination phase: Saturation
% 27.93/4.35 % (3974882)Time elapsed: 0.138 s
% 27.93/4.35 % (3974882)Peak memory usage: 12 MB
% 27.93/4.35 % (3974882)Instructions burned: 441 (million)
% 27.93/4.35 % (3974888)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=1134533166:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2966 on theBenchmark for (2966ds/376Mi)
% 27.93/4.35 % (3974889)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=3191754771:i=965:bd=all:ins=4:rtra=on_2966 on theBenchmark for (2966ds/965Mi)
% 27.93/4.35 % (3974531)Instruction limit reached!
% 27.93/4.35 % (3974531)------------------------------
% 27.93/4.35 % (3974531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.93/4.35 % (3974531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.93/4.35 % (3974531)CaDiCaL version: 2.1.3
% 27.93/4.35 % (3974531)Termination reason: Instruction limit
% 27.93/4.35 % (3974531)Termination phase: Saturation
% 27.93/4.35 % (3974531)Time elapsed: 2.778 s
% 27.93/4.35 % (3974531)Peak memory usage: 16 MB
% 27.93/4.35 % (3974531)Instructions burned: 9842 (million)
% 27.93/4.35 % (3974892)lrs+10_1_sil=128000:si=on:urr=on:random_seed=631661637:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2965 on theBenchmark for (2965ds/5013Mi)
% 27.93/4.35 % (3974892)Refutation not found, incomplete strategy
% 27.93/4.35 % (3974892)------------------------------
% 27.93/4.35 % (3974892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.93/4.35 % (3974892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.93/4.35 % (3974892)CaDiCaL version: 2.1.3
% 27.93/4.35 % (3974892)Termination reason: Refutation not found, incomplete strategy
% 27.93/4.35 % (3974892)Time elapsed: 0.001 s
% 27.93/4.35 % (3974892)Peak memory usage: 11 MB
% 27.93/4.35 % (3974892)------------------------------
% 27.93/4.35 % (3974892)------------------------------
% 27.93/4.35 % (3974894)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=2875781020:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2965 on theBenchmark for (2965ds/1583Mi)
% 27.93/4.35 % (3974864)Instruction limit reached!
% 27.93/4.35 % (3974864)------------------------------
% 27.93/4.35 % (3974864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.93/4.35 % (3974864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.93/4.35 % (3974864)CaDiCaL version: 2.1.3
% 27.93/4.35 % (3974864)Termination reason: Instruction limit
% 27.93/4.35 % (3974864)Termination phase: Saturation
% 27.93/4.35 % (3974864)Time elapsed: 0.434 s
% 27.93/4.35 % (3974864)Peak memory usage: 13 MB
% 27.93/4.35 % (3974864)Instructions burned: 999 (million)
% 27.93/4.35 % (3974896)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 27.93/4.35 % (3974896)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 27.93/4.35 % (3974896)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
% 27.93/4.35 % (3974896)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 27.93/4.35 % (3974896)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=3539342805: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)
% 29.10/4.59 % (3974896)Refutation not found, incomplete strategy
% 29.10/4.59 % (3974896)------------------------------
% 29.10/4.59 % (3974896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.10/4.59 % (3974896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.10/4.59 % (3974896)CaDiCaL version: 2.1.3
% 29.10/4.59 % (3974896)Termination reason: Refutation not found, incomplete strategy
% 29.10/4.59 % (3974896)Time elapsed: 0.001 s
% 29.10/4.59 % (3974896)Peak memory usage: 11 MB
% 29.10/4.59 % (3974896)------------------------------
% 29.10/4.59 % (3974896)------------------------------
% 29.10/4.59 % (3974898)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=158186536:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2964 on theBenchmark for (2964ds/515Mi)
% 29.10/4.59 % (3974898)Refutation not found, incomplete strategy
% 29.10/4.59 % (3974898)------------------------------
% 29.10/4.59 % (3974898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.10/4.59 % (3974898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.10/4.59 % (3974898)CaDiCaL version: 2.1.3
% 29.10/4.59 % (3974898)Termination reason: Refutation not found, incomplete strategy
% 29.10/4.59 % (3974898)Time elapsed: 0.001 s
% 29.10/4.59 % (3974898)Peak memory usage: 11 MB
% 29.10/4.59 % (3974898)------------------------------
% 29.10/4.59 % (3974898)------------------------------
% 29.10/4.59 % (3974888)Instruction limit reached!
% 29.10/4.59 % (3974888)------------------------------
% 29.10/4.59 % (3974888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.10/4.59 % (3974888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.10/4.59 % (3974888)CaDiCaL version: 2.1.3
% 29.10/4.59 % (3974888)Termination reason: Instruction limit
% 29.10/4.59 % (3974888)Termination phase: Saturation
% 29.10/4.59 % (3974888)Time elapsed: 0.194 s
% 29.10/4.59 % (3974888)Peak memory usage: 14 MB
% 29.10/4.59 % (3974888)Instructions burned: 378 (million)
% 29.10/4.59 % (3974900)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
% 29.10/4.59 % (3974900)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=3783560804:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2964 on theBenchmark for (2964ds/1297Mi)
% 29.10/4.59 % (3974879)Instruction limit reached!
% 29.10/4.59 % (3974879)------------------------------
% 29.10/4.59 % (3974879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.10/4.59 % (3974879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.10/4.59 % (3974879)CaDiCaL version: 2.1.3
% 29.10/4.59 % (3974879)Termination reason: Instruction limit
% 29.10/4.59 % (3974879)Termination phase: Saturation
% 29.10/4.59 % (3974879)Time elapsed: 0.390 s
% 29.10/4.59 % (3974879)Peak memory usage: 13 MB
% 29.10/4.59 % (3974879)Instructions burned: 1728 (million)
% 29.10/4.59 % (3974901)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=2211978490:s2a=on:i=611:rtra=on:gsp=on_2964 on theBenchmark for (2964ds/611Mi)
% 29.10/4.59 % (3974901)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 29.10/4.59 % (3974903)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 29.10/4.59 % (3974903)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=1386051449:i=72:bd=all:rtra=on_2964 on theBenchmark for (2964ds/72Mi)
% 29.10/4.59 % (3974903)Refutation not found, incomplete strategy
% 29.10/4.59 % (3974903)------------------------------
% 29.10/4.59 % (3974903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.10/4.59 % (3974903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.10/4.59 % (3974903)CaDiCaL version: 2.1.3
% 29.10/4.59 % (3974903)Termination reason: Refutation not found, incomplete strategy
% 29.10/4.59 % (3974903)Time elapsed: 0.0000 s
% 29.10/4.59 % (3974903)Peak memory usage: 11 MB
% 29.10/4.59 % (3974903)Instructions burned: 1 (million)
% 29.10/4.59 % (3974903)------------------------------
% 29.10/4.59 % (3974903)------------------------------
% 29.10/4.59 % (3974906)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=155823901:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2964 on theBenchmark for (2964ds/6580Mi)
% 31.44/4.95 % (3974889)Instruction limit reached!
% 31.44/4.95 % (3974889)------------------------------
% 31.44/4.95 % (3974889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.44/4.95 % (3974889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.44/4.95 % (3974889)CaDiCaL version: 2.1.3
% 31.44/4.95 % (3974889)Termination reason: Instruction limit
% 31.44/4.95 % (3974889)Termination phase: Saturation
% 31.44/4.95 % (3974889)Time elapsed: 0.389 s
% 31.44/4.95 % (3974889)Peak memory usage: 16 MB
% 31.44/4.95 % (3974889)Instructions burned: 967 (million)
% 31.44/4.95 % (3974908)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1195222580:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2962 on theBenchmark for (2962ds/6209Mi)
% 31.44/4.95 % (3974901)Instruction limit reached!
% 31.44/4.95 % (3974901)------------------------------
% 31.44/4.95 % (3974901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.44/4.95 % (3974901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.44/4.95 % (3974901)CaDiCaL version: 2.1.3
% 31.44/4.95 % (3974901)Termination reason: Instruction limit
% 31.44/4.95 % (3974901)Termination phase: Saturation
% 31.44/4.95 % (3974901)Time elapsed: 0.213 s
% 31.44/4.95 % (3974901)Peak memory usage: 13 MB
% 31.44/4.95 % (3974901)Instructions burned: 612 (million)
% 31.44/4.95 % (3974908)Refutation not found, incomplete strategy
% 31.44/4.95 % (3974908)------------------------------
% 31.44/4.95 % (3974908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.44/4.95 % (3974908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.44/4.95 % (3974908)CaDiCaL version: 2.1.3
% 31.44/4.95 % (3974908)Termination reason: Refutation not found, incomplete strategy
% 31.44/4.95 % (3974908)Time elapsed: 0.001 s
% 31.44/4.95 % (3974908)Peak memory usage: 11 MB
% 31.44/4.95 % (3974908)------------------------------
% 31.44/4.95 % (3974908)------------------------------
% 31.44/4.95 % (3974911)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 31.44/4.95 % (3974910)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=609698741:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2961 on theBenchmark for (2961ds/1003Mi)
% 31.44/4.95 % (3974911)ott+1002_16_sil=128000:si=on:random_seed=2221456026:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2961 on theBenchmark for (2961ds/409Mi)
% 31.44/4.95 % (3974911)Instruction limit reached!
% 31.44/4.95 % (3974911)------------------------------
% 31.44/4.95 % (3974911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.44/4.95 % (3974911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.44/4.95 % (3974911)CaDiCaL version: 2.1.3
% 31.44/4.95 % (3974911)Termination reason: Instruction limit
% 31.44/4.95 % (3974911)Termination phase: Saturation
% 31.44/4.95 % (3974911)Time elapsed: 0.146 s
% 31.44/4.95 % (3974911)Peak memory usage: 13 MB
% 31.44/4.95 % (3974911)Instructions burned: 409 (million)
% 31.44/4.95 % (3974914)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=2940811009: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)
% 31.44/4.95 % (3974914)Refutation not found, incomplete strategy
% 31.44/4.95 % (3974914)------------------------------
% 31.44/4.95 % (3974914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 31.44/4.95 % (3974914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.44/4.95 % (3974914)CaDiCaL version: 2.1.3
% 31.44/4.95 % (3974914)Termination reason: Refutation not found, incomplete strategy
% 31.44/4.95 % (3974914)Time elapsed: 0.001 s
% 31.44/4.95 % (3974914)Peak memory usage: 11 MB
% 31.44/4.95 % (3974914)Instructions burned: 1 (million)
% 31.44/4.95 % (3974914)------------------------------
% 31.44/4.95 % (3974914)------------------------------
% 31.44/4.95 % (3974916)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=3163621968:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2960 on theBenchmark for (2960ds/6843Mi)
% 31.44/4.95 % (3974916)Refutation not found, incomplete strategy
% 31.44/4.95 % (3974916)------------------------------
% 31.44/4.95 % (3974916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.43/5.12 % (3974916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.43/5.12 % (3974916)CaDiCaL version: 2.1.3
% 33.43/5.12 % (3974916)Termination reason: Refutation not found, incomplete strategy
% 33.43/5.12 % (3974916)Time elapsed: 0.001 s
% 33.43/5.12 % (3974916)Peak memory usage: 11 MB
% 33.43/5.12 % (3974916)Instructions burned: 1 (million)
% 33.43/5.12 % (3974916)------------------------------
% 33.43/5.12 % (3974916)------------------------------
% 33.43/5.12 % (3974918)lrs+10_2:1_si=on:random_seed=3646780302:s2a=on:i=506:rtra=on:fe=abstraction_2959 on theBenchmark for (2959ds/506Mi)
% 33.43/5.12 % (3974900)Instruction limit reached!
% 33.43/5.12 % (3974900)------------------------------
% 33.43/5.12 % (3974900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.43/5.12 % (3974900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.43/5.12 % (3974900)CaDiCaL version: 2.1.3
% 33.43/5.12 % (3974900)Termination reason: Instruction limit
% 33.43/5.12 % (3974900)Termination phase: Saturation
% 33.43/5.12 % (3974900)Time elapsed: 0.518 s
% 33.43/5.12 % (3974900)Peak memory usage: 13 MB
% 33.43/5.12 % (3974900)Instructions burned: 1300 (million)
% 33.43/5.12 % (3974920)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=3648141970:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2958 on theBenchmark for (2958ds/888Mi)
% 33.43/5.12 % (3974894)Instruction limit reached!
% 33.43/5.12 % (3974894)------------------------------
% 33.43/5.12 % (3974894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.43/5.12 % (3974894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.43/5.12 % (3974894)CaDiCaL version: 2.1.3
% 33.43/5.12 % (3974894)Termination reason: Instruction limit
% 33.43/5.12 % (3974894)Termination phase: Saturation
% 33.43/5.12 % (3974894)Time elapsed: 0.668 s
% 33.43/5.12 % (3974894)Peak memory usage: 13 MB
% 33.43/5.12 % (3974894)Instructions burned: 1583 (million)
% 33.43/5.12 % (3974922)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 33.43/5.12 % (3974922)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=2608105646:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2958 on theBenchmark for (2958ds/416Mi)
% 33.43/5.12 % (3974910)Instruction limit reached!
% 33.43/5.12 % (3974910)------------------------------
% 33.43/5.12 % (3974910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.43/5.12 % (3974910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.43/5.12 % (3974910)CaDiCaL version: 2.1.3
% 33.43/5.12 % (3974910)Termination reason: Instruction limit
% 33.43/5.12 % (3974910)Termination phase: Saturation
% 33.43/5.12 % (3974910)Time elapsed: 0.406 s
% 33.43/5.12 % (3974910)Peak memory usage: 13 MB
% 33.43/5.12 % (3974910)Instructions burned: 1004 (million)
% 33.43/5.12 % (3974924)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=3878006319: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)
% 33.43/5.12 % (3974924)Refutation not found, incomplete strategy
% 33.43/5.12 % (3974924)------------------------------
% 33.43/5.12 % (3974924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.43/5.12 % (3974924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.43/5.12 % (3974924)CaDiCaL version: 2.1.3
% 33.43/5.12 % (3974924)Termination reason: Refutation not found, incomplete strategy
% 33.43/5.12 % (3974924)Time elapsed: 0.001 s
% 33.43/5.12 % (3974924)Peak memory usage: 11 MB
% 33.43/5.12 % (3974924)------------------------------
% 33.43/5.12 % (3974924)------------------------------
% 33.43/5.12 % (3974918)Instruction limit reached!
% 33.43/5.12 % (3974918)------------------------------
% 33.43/5.12 % (3974918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.43/5.12 % (3974918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.43/5.12 % (3974918)CaDiCaL version: 2.1.3
% 33.43/5.12 % (3974918)Termination reason: Instruction limit
% 33.43/5.12 % (3974918)Termination phase: Saturation
% 33.43/5.12 % (3974918)Time elapsed: 0.222 s
% 33.43/5.12 % (3974918)Peak memory usage: 12 MB
% 35.43/5.47 % (3974918)Instructions burned: 507 (million)
% 35.43/5.47 % (3974926)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 35.43/5.47 % (3974926)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=146759071:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2957 on theBenchmark for (2957ds/206Mi)
% 35.43/5.47 % (3974927)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=634074431: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)
% 35.43/5.47 % (3974815)Instruction limit reached!
% 35.43/5.47 % (3974815)------------------------------
% 35.43/5.47 % (3974815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.43/5.47 % (3974815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.43/5.47 % (3974815)CaDiCaL version: 2.1.3
% 35.43/5.47 % (3974815)Termination reason: Instruction limit
% 35.43/5.47 % (3974815)Termination phase: Saturation
% 35.43/5.47 % (3974815)Time elapsed: 1.794 s
% 35.43/5.47 % (3974815)Peak memory usage: 16 MB
% 35.43/5.47 % (3974815)Instructions burned: 4386 (million)
% 35.43/5.47 % (3974930)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=1793703496:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2957 on theBenchmark for (2957ds/637Mi)
% 35.43/5.47 % (3974926)Instruction limit reached!
% 35.43/5.47 % (3974926)------------------------------
% 35.43/5.47 % (3974926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.43/5.47 % (3974926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.43/5.47 % (3974926)CaDiCaL version: 2.1.3
% 35.43/5.47 % (3974926)Termination reason: Instruction limit
% 35.43/5.47 % (3974926)Termination phase: Saturation
% 35.43/5.47 % (3974926)Time elapsed: 0.077 s
% 35.43/5.47 % (3974926)Peak memory usage: 12 MB
% 35.43/5.47 % (3974926)Instructions burned: 208 (million)
% 35.43/5.47 % (3974922)Instruction limit reached!
% 35.43/5.47 % (3974922)------------------------------
% 35.43/5.47 % (3974922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.43/5.47 % (3974922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.43/5.47 % (3974922)CaDiCaL version: 2.1.3
% 35.43/5.47 % (3974922)Termination reason: Instruction limit
% 35.43/5.47 % (3974922)Termination phase: Saturation
% 35.43/5.47 % (3974922)Time elapsed: 0.197 s
% 35.43/5.47 % (3974922)Peak memory usage: 14 MB
% 35.43/5.47 % (3974922)Instructions burned: 418 (million)
% 35.43/5.47 % (3974932)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=1239036213:hsq=on:i=667:rtra=on:ixr=off_2956 on theBenchmark for (2956ds/667Mi)
% 35.43/5.47 % (3974933)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=245624900:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2956 on theBenchmark for (2956ds/1801Mi)
% 35.43/5.47 % (3974920)Instruction limit reached!
% 35.43/5.47 % (3974920)------------------------------
% 35.43/5.47 % (3974920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.43/5.47 % (3974920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.43/5.47 % (3974920)CaDiCaL version: 2.1.3
% 35.43/5.47 % (3974920)Termination reason: Instruction limit
% 35.43/5.47 % (3974920)Termination phase: Saturation
% 35.43/5.47 % (3974920)Time elapsed: 0.353 s
% 35.43/5.47 % (3974920)Peak memory usage: 12 MB
% 35.43/5.47 % (3974920)Instructions burned: 890 (million)
% 35.43/5.47 % (3974936)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=1598159133:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2955 on theBenchmark for (2955ds/555Mi)
% 35.43/5.47 % (3974930)Instruction limit reached!
% 35.43/5.47 % (3974930)------------------------------
% 35.43/5.47 % (3974930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.43/5.47 % (3974930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.43/5.47 % (3974930)CaDiCaL version: 2.1.3
% 35.43/5.47 % (3974930)Termination reason: Instruction limit
% 35.43/5.47 % (3974930)Termination phase: Saturation
% 35.43/5.47 % (3974930)Time elapsed: 0.289 s
% 35.43/5.47 % (3974930)Peak memory usage: 13 MB
% 35.43/5.47 % (3974930)Instructions burned: 639 (million)
% 35.43/5.47 % (3974938)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=1967824992:i=88:s2at=3:nm=2:rtra=on:rawr=on_2954 on theBenchmark for (2954ds/88Mi)
% 36.33/5.74 % (3974932)Instruction limit reached!
% 36.33/5.74 % (3974932)------------------------------
% 36.33/5.74 % (3974932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.33/5.74 % (3974932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.33/5.74 % (3974932)CaDiCaL version: 2.1.3
% 36.33/5.74 % (3974932)Termination reason: Instruction limit
% 36.33/5.74 % (3974932)Termination phase: Saturation
% 36.33/5.74 % (3974932)Time elapsed: 0.244 s
% 36.33/5.74 % (3974932)Peak memory usage: 12 MB
% 36.33/5.74 % (3974932)Instructions burned: 667 (million)
% 36.33/5.74 % (3974940)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2432869104:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2953 on theBenchmark for (2953ds/280Mi)
% 36.33/5.74 % (3974938)Instruction limit reached!
% 36.33/5.74 % (3974938)------------------------------
% 36.33/5.74 % (3974938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.33/5.74 % (3974938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.33/5.74 % (3974938)CaDiCaL version: 2.1.3
% 36.33/5.74 % (3974938)Termination reason: Instruction limit
% 36.33/5.74 % (3974938)Termination phase: Saturation
% 36.33/5.74 % (3974938)Time elapsed: 0.041 s
% 36.33/5.74 % (3974938)Peak memory usage: 12 MB
% 36.33/5.74 % (3974938)Instructions burned: 89 (million)
% 36.33/5.74 % (3974942)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=1479366360:s2a=on:i=3166:bd=preordered:rtra=on_2953 on theBenchmark for (2953ds/3166Mi)
% 36.33/5.74 % (3974936)Instruction limit reached!
% 36.33/5.74 % (3974936)------------------------------
% 36.33/5.74 % (3974936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.33/5.74 % (3974936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.33/5.74 % (3974936)CaDiCaL version: 2.1.3
% 36.33/5.74 % (3974936)Termination reason: Instruction limit
% 36.33/5.74 % (3974936)Termination phase: Saturation
% 36.33/5.74 % (3974936)Time elapsed: 0.204 s
% 36.33/5.74 % (3974936)Peak memory usage: 11 MB
% 36.33/5.74 % (3974936)Instructions burned: 557 (million)
% 36.33/5.74 % (3974944)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 36.33/5.74 % (3974944)lrs+1010_128_to=kbo:plsq=on:plsqc=4:cnfonf=lazy_pi_sigma_gen:bsd=on:si=on:sp=occurrence:sos=on:plsql=on:random_seed=1090922641:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2952 on theBenchmark for (2952ds/4201Mi)
% 36.33/5.74 % (3974944)Refutation not found, incomplete strategy
% 36.33/5.74 % (3974944)------------------------------
% 36.33/5.74 % (3974944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.33/5.74 % (3974944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.33/5.74 % (3974944)CaDiCaL version: 2.1.3
% 36.33/5.74 % (3974944)Termination reason: Refutation not found, incomplete strategy
% 36.33/5.74 % (3974944)Time elapsed: 0.002 s
% 36.33/5.74 % (3974944)Peak memory usage: 11 MB
% 36.33/5.74 % (3974944)Instructions burned: 3 (million)
% 36.33/5.74 % (3974944)------------------------------
% 36.33/5.74 % (3974944)------------------------------
% 36.33/5.74 % (3974946)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2012008303:i=2352:rtra=on:ixr=off_2952 on theBenchmark for (2952ds/2352Mi)
% 36.33/5.74 % (3974940)Instruction limit reached!
% 36.33/5.74 % (3974940)------------------------------
% 36.33/5.74 % (3974940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.33/5.74 % (3974940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.33/5.74 % (3974940)CaDiCaL version: 2.1.3
% 36.33/5.74 % (3974940)Termination reason: Instruction limit
% 36.33/5.74 % (3974940)Termination phase: Saturation
% 36.33/5.74 % (3974940)Time elapsed: 0.134 s
% 36.33/5.74 % (3974940)Peak memory usage: 12 MB
% 36.33/5.74 % (3974940)Instructions burned: 280 (million)
% 36.33/5.74 % (3974948)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 36.33/5.74 % (3974948)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=339616188:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2952 on theBenchmark for (2952ds/452Mi)
% 40.50/6.11 % (3974948)Refutation not found, incomplete strategy
% 40.50/6.11 % (3974948)------------------------------
% 40.50/6.11 % (3974948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.50/6.11 % (3974948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.50/6.11 % (3974948)CaDiCaL version: 2.1.3
% 40.50/6.11 % (3974948)Termination reason: Refutation not found, incomplete strategy
% 40.50/6.11 % (3974948)Time elapsed: 0.002 s
% 40.50/6.11 % (3974948)Peak memory usage: 11 MB
% 40.50/6.11 % (3974948)Instructions burned: 2 (million)
% 40.50/6.11 % (3974948)------------------------------
% 40.50/6.11 % (3974948)------------------------------
% 40.50/6.11 % (3974950)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 40.50/6.11 % (3974950)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 40.50/6.11 % (3974950)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=2350394369:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2952 on theBenchmark for (2952ds/483Mi)
% 40.50/6.11 % (3974950)Refutation not found, incomplete strategy
% 40.50/6.11 % (3974950)------------------------------
% 40.50/6.11 % (3974950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.50/6.11 % (3974950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.50/6.11 % (3974950)CaDiCaL version: 2.1.3
% 40.50/6.11 % (3974950)Termination reason: Refutation not found, incomplete strategy
% 40.50/6.11 % (3974950)Time elapsed: 0.001 s
% 40.50/6.11 % (3974950)Peak memory usage: 11 MB
% 40.50/6.11 % (3974950)------------------------------
% 40.50/6.11 % (3974950)------------------------------
% 40.50/6.11 % (3974952)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3136323406:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2951 on theBenchmark for (2951ds/168Mi)
% 40.50/6.11 % (3974782)Instruction limit reached!
% 40.50/6.11 % (3974782)------------------------------
% 40.50/6.11 % (3974782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.50/6.11 % (3974782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.50/6.11 % (3974782)CaDiCaL version: 2.1.3
% 40.50/6.11 % (3974782)Termination reason: Instruction limit
% 40.50/6.11 % (3974782)Termination phase: Saturation
% 40.50/6.11 % (3974782)Time elapsed: 2.920 s
% 40.50/6.11 % (3974782)Peak memory usage: 22 MB
% 40.50/6.11 % (3974782)Instructions burned: 6359 (million)
% 40.50/6.11 % (3974952)Instruction limit reached!
% 40.50/6.11 % (3974952)------------------------------
% 40.50/6.11 % (3974952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.50/6.11 % (3974952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.50/6.11 % (3974952)CaDiCaL version: 2.1.3
% 40.50/6.11 % (3974952)Termination reason: Instruction limit
% 40.50/6.11 % (3974952)Termination phase: Saturation
% 40.50/6.11 % (3974952)Time elapsed: 0.076 s
% 40.50/6.11 % (3974952)Peak memory usage: 12 MB
% 40.50/6.11 % (3974952)Instructions burned: 168 (million)
% 40.50/6.11 % (3974954)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=2064269887:hsq=on:hsqr=16,1:s2a=on:i=17240:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2950 on theBenchmark for (2950ds/17240Mi)
% 40.50/6.11 % (3974955)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=2649427908:i=2022:fsr=off:rtra=on:ixr=off_2950 on theBenchmark for (2950ds/2022Mi)
% 40.50/6.11 % (3974927)Instruction limit reached!
% 40.50/6.11 % (3974927)------------------------------
% 40.50/6.11 % (3974927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.50/6.11 % (3974927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.50/6.11 % (3974927)CaDiCaL version: 2.1.3
% 40.50/6.11 % (3974927)Termination reason: Instruction limit
% 40.50/6.11 % (3974927)Termination phase: Saturation
% 40.50/6.11 % (3974927)Time elapsed: 0.839 s
% 40.50/6.11 % (3974927)Peak memory usage: 13 MB
% 40.50/6.11 % (3974927)Instructions burned: 2297 (million)
% 40.50/6.11 % (3974958)lrs+1010_3:1_sil=128000:tgt=full:plsq=on:drc=ordering:cnfonf=lazy_not_be_gen:si=on:etr=on:sp=reverse_arity:plsqr=32,1:urr=on:uwa=off:foolp=on:nwc=0.5:random_seed=852768019:i=2274:kws=precedence:bd=preordered:av=off:rtra=on_2948 on theBenchmark for (2948ds/2274Mi)
% 41.22/6.17 % (3974906)Instruction limit reached!
% 41.22/6.17 % (3974906)------------------------------
% 41.22/6.17 % (3974906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.22/6.17 % (3974906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.22/6.17 % (3974906)CaDiCaL version: 2.1.3
% 41.22/6.17 % (3974906)Termination reason: Instruction limit
% 41.22/6.17 % (3974906)Termination phase: Saturation
% 41.22/6.17 % (3974906)Time elapsed: 1.617 s
% 41.22/6.17 % (3974906)Peak memory usage: 29 MB
% 41.22/6.17 % (3974906)Instructions burned: 6581 (million)
% 41.22/6.17 % (3974960)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3627768219:i=555:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2947 on theBenchmark for (2947ds/555Mi)
% 41.22/6.17 % (3974933)Instruction limit reached!
% 41.22/6.17 % (3974933)------------------------------
% 41.22/6.17 % (3974933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.22/6.17 % (3974933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.22/6.17 % (3974933)CaDiCaL version: 2.1.3
% 41.22/6.17 % (3974933)Termination reason: Instruction limit
% 41.22/6.17 % (3974933)Termination phase: Saturation
% 41.22/6.17 % (3974933)Time elapsed: 0.922 s
% 41.22/6.17 % (3974933)Peak memory usage: 19 MB
% 41.22/6.17 % (3974933)Instructions burned: 1802 (million)
% 41.22/6.17 % (3974962)dis+1002_4_sil=128000:si=on:lma=off:uwa=off:fd=off:sac=on:random_seed=2038441010:avsq=on:i=2220:rtra=on_2947 on theBenchmark for (2947ds/2220Mi)
% 41.22/6.17 % (3974960)Instruction limit reached!
% 41.22/6.17 % (3974960)------------------------------
% 41.22/6.17 % (3974960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.22/6.17 % (3974960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.22/6.17 % (3974960)CaDiCaL version: 2.1.3
% 41.22/6.17 % (3974960)Termination reason: Instruction limit
% 41.22/6.17 % (3974960)Termination phase: Saturation
% 41.22/6.17 % (3974960)Time elapsed: 0.105 s
% 41.22/6.17 % (3974960)Peak memory usage: 13 MB
% 41.22/6.17 % (3974960)Instructions burned: 560 (million)
% 41.22/6.17 % (3974964)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=1850379407:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2946 on theBenchmark for (2946ds/715Mi)
% 41.22/6.17 % (3974964)Refutation not found, incomplete strategy
% 41.22/6.17 % (3974964)------------------------------
% 41.22/6.17 % (3974964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.22/6.17 % (3974964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.22/6.17 % (3974964)CaDiCaL version: 2.1.3
% 41.22/6.17 % (3974964)Termination reason: Refutation not found, incomplete strategy
% 41.22/6.17 % (3974964)Time elapsed: 0.0000 s
% 41.22/6.17 % (3974964)Peak memory usage: 11 MB
% 41.22/6.17 % (3974964)Instructions burned: 2 (million)
% 41.22/6.17 % (3974964)------------------------------
% 41.22/6.17 % (3974964)------------------------------
% 41.22/6.17 % (3974966)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
% 41.22/6.17 % (3974966)lrs+1010_4:7_anc=none:tgt=ground:cnfonf=lazy_gen:sas=cadical:si=on:uwa=interpreted_only:s2agt=60:sac=on:random_seed=2048997918:i=1979:nm=2:rtra=on:amm=off:ss=axioms:ntd=on_2946 on theBenchmark for (2946ds/1979Mi)
% 41.22/6.17 % (3974966)Refutation not found, incomplete strategy
% 41.22/6.17 % (3974966)------------------------------
% 41.22/6.17 % (3974966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 41.22/6.17 % (3974966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.22/6.17 % (3974966)CaDiCaL version: 2.1.3
% 41.22/6.17 % (3974966)Termination reason: Refutation not found, incomplete strategy
% 41.22/6.17 % (3974966)Time elapsed: 0.001 s
% 41.22/6.17 % (3974966)Peak memory usage: 11 MB
% 41.22/6.17 % (3974966)Instructions burned: 1 (million)
% 41.22/6.17 % (3974966)------------------------------
% 41.22/6.17 % (3974966)------------------------------
% 41.22/6.17 % (3974968)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=3031689410:s2a=on:i=28911:sd=1:rtra=on:ss=axioms:sgt=128_2946 on theBenchmark for (2946ds/28911Mi)
% 41.22/6.17 % (3974968)Refutation not found, incomplete strategy
% 42.34/6.49 % (3974968)------------------------------
% 42.34/6.49 % (3974968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.34/6.49 % (3974968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.34/6.49 % (3974968)CaDiCaL version: 2.1.3
% 42.34/6.49 % (3974968)Termination reason: Refutation not found, incomplete strategy
% 42.34/6.49 % (3974968)Time elapsed: 0.001 s
% 42.34/6.49 % (3974968)Peak memory usage: 11 MB
% 42.34/6.49 % (3974968)------------------------------
% 42.34/6.49 % (3974968)------------------------------
% 42.34/6.49 % (3974970)lrs+1002_1_to=lpo:sil=128000:cnfonf=lazy_not_be_gen:si=on:sp=reverse_arity:sos=on:erd=off:lma=off:spb=units:urr=on:cbe=off:uwa=one_side_constant:random_seed=3415675274:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_2946 on theBenchmark for (2946ds/414Mi)
% 42.34/6.49 % (3974970)Refutation not found, incomplete strategy
% 42.34/6.49 % (3974970)------------------------------
% 42.34/6.49 % (3974970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.34/6.49 % (3974970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.34/6.49 % (3974970)CaDiCaL version: 2.1.3
% 42.34/6.49 % (3974970)Termination reason: Refutation not found, incomplete strategy
% 42.34/6.49 % (3974970)Time elapsed: 0.002 s
% 42.34/6.49 % (3974970)Peak memory usage: 11 MB
% 42.34/6.49 % (3974970)Instructions burned: 3 (million)
% 42.34/6.49 % (3974970)------------------------------
% 42.34/6.49 % (3974970)------------------------------
% 42.34/6.49 % (3974972)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1861775982:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2945 on theBenchmark for (2945ds/429Mi)
% 42.34/6.49 % (3974972)Instruction limit reached!
% 42.34/6.49 % (3974972)------------------------------
% 42.34/6.49 % (3974972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.34/6.49 % (3974972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.34/6.49 % (3974972)CaDiCaL version: 2.1.3
% 42.34/6.49 % (3974972)Termination reason: Instruction limit
% 42.34/6.49 % (3974972)Termination phase: Saturation
% 42.34/6.49 % (3974972)Time elapsed: 0.111 s
% 42.34/6.49 % (3974972)Peak memory usage: 12 MB
% 42.34/6.49 % (3974972)Instructions burned: 429 (million)
% 42.34/6.49 % (3974974)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 42.34/6.49 % (3974974)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=3133652659:lrd=on:i=841:nm=0:rtra=on_2944 on theBenchmark for (2944ds/841Mi)
% 42.34/6.49 % (3974946)Instruction limit reached!
% 42.34/6.49 % (3974946)------------------------------
% 42.34/6.49 % (3974946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.34/6.49 % (3974946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.34/6.49 % (3974946)CaDiCaL version: 2.1.3
% 42.34/6.49 % (3974946)Termination reason: Instruction limit
% 42.34/6.49 % (3974946)Termination phase: Saturation
% 42.34/6.49 % (3974946)Time elapsed: 0.848 s
% 42.34/6.49 % (3974946)Peak memory usage: 13 MB
% 42.34/6.49 % (3974946)Instructions burned: 2353 (million)
% 42.34/6.49 % (3974976)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2623741785:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2944 on theBenchmark for (2944ds/445Mi)
% 42.34/6.49 % (3974974)Instruction limit reached!
% 42.34/6.49 % (3974974)------------------------------
% 42.34/6.49 % (3974974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.34/6.49 % (3974974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.34/6.49 % (3974974)CaDiCaL version: 2.1.3
% 42.34/6.49 % (3974974)Termination reason: Instruction limit
% 42.34/6.49 % (3974974)Termination phase: Saturation
% 42.34/6.49 % (3974974)Time elapsed: 0.197 s
% 42.34/6.49 % (3974974)Peak memory usage: 13 MB
% 42.34/6.49 % (3974974)Instructions burned: 844 (million)
% 42.34/6.49 % (3974978)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=4051410299:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_2942 on theBenchmark for (2942ds/1324Mi)
% 42.34/6.49 % (3974978)Refutation not found, incomplete strategy
% 42.34/6.49 % (3974978)------------------------------
% 42.34/6.49 % (3974978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.34/6.49 % (3974978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.32/6.81 % (3974978)CaDiCaL version: 2.1.3
% 44.32/6.81 % (3974978)Termination reason: Refutation not found, incomplete strategy
% 44.32/6.81 % (3974978)Time elapsed: 0.0000 s
% 44.32/6.81 % (3974978)Peak memory usage: 11 MB
% 44.32/6.81 % (3974978)Instructions burned: 1 (million)
% 44.32/6.81 % (3974978)------------------------------
% 44.32/6.81 % (3974978)------------------------------
% 44.32/6.81 % (3974955)Instruction limit reached!
% 44.32/6.81 % (3974955)------------------------------
% 44.32/6.81 % (3974955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.32/6.81 % (3974955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.32/6.81 % (3974955)CaDiCaL version: 2.1.3
% 44.32/6.81 % (3974955)Termination reason: Instruction limit
% 44.32/6.81 % (3974955)Termination phase: Saturation
% 44.32/6.81 % (3974955)Time elapsed: 0.856 s
% 44.32/6.81 % (3974955)Peak memory usage: 14 MB
% 44.32/6.81 % (3974955)Instructions burned: 2024 (million)
% 44.32/6.81 % (3974980)dis+21_1_sil=128000:cnfonf=off:e2e=on:si=on:sos=on:spb=goal_then_units:acc=on:uwa=one_side_interpreted:random_seed=3735118271:i=5401:kws=precedence:ep=RST:rtra=on:ss=axioms_2942 on theBenchmark for (2942ds/5401Mi)
% 44.32/6.81 % (3974980)Refutation not found, incomplete strategy
% 44.32/6.81 % (3974980)------------------------------
% 44.32/6.81 % (3974980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.32/6.81 % (3974980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.32/6.81 % (3974980)CaDiCaL version: 2.1.3
% 44.32/6.81 % (3974980)Termination reason: Refutation not found, incomplete strategy
% 44.32/6.81 % (3974980)Time elapsed: 0.0000 s
% 44.32/6.81 % (3974980)Peak memory usage: 11 MB
% 44.32/6.81 % (3974980)------------------------------
% 44.32/6.81 % (3974980)------------------------------
% 44.32/6.81 % (3974981)lrs+10_1_sil=128000:fde=none:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2114966183:s2a=on:i=4070:s2at=3:bd=all:nm=16:av=off:fsr=off:rtra=on_2942 on theBenchmark for (2942ds/4070Mi)
% 44.32/6.81 % (3974983)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2707833247:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2942 on theBenchmark for (2942ds/984Mi)
% 44.32/6.81 % (3974983)Refutation not found, incomplete strategy
% 44.32/6.81 % (3974983)------------------------------
% 44.32/6.81 % (3974983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.32/6.81 % (3974983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.32/6.81 % (3974983)CaDiCaL version: 2.1.3
% 44.32/6.81 % (3974983)Termination reason: Refutation not found, incomplete strategy
% 44.32/6.81 % (3974983)Time elapsed: 0.0000 s
% 44.32/6.81 % (3974983)Peak memory usage: 11 MB
% 44.32/6.81 % (3974983)Instructions burned: 1 (million)
% 44.32/6.81 % (3974983)------------------------------
% 44.32/6.81 % (3974983)------------------------------
% 44.32/6.81 % (3974986)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=2710862815:cts=off:i=112:fsr=off:rtra=on:fe=abstraction_2941 on theBenchmark for (2941ds/112Mi)
% 44.32/6.81 % (3974986)Refutation not found, incomplete strategy
% 44.32/6.81 % (3974986)------------------------------
% 44.32/6.81 % (3974986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.32/6.81 % (3974986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.32/6.81 % (3974986)CaDiCaL version: 2.1.3
% 44.32/6.81 % (3974986)Termination reason: Refutation not found, incomplete strategy
% 44.32/6.81 % (3974986)Time elapsed: 0.0000 s
% 44.32/6.81 % (3974986)Peak memory usage: 11 MB
% 44.32/6.81 % (3974986)Instructions burned: 1 (million)
% 44.32/6.81 % (3974986)------------------------------
% 44.32/6.81 % (3974986)------------------------------
% 44.32/6.81 % (3974988)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2898668491:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2941 on theBenchmark for (2941ds/1144Mi)
% 44.32/6.81 % (3974988)Refutation not found, incomplete strategy
% 44.32/6.81 % (3974988)------------------------------
% 44.32/6.81 % (3974988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.32/6.81 % (3974988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.32/6.81 % (3974988)CaDiCaL version: 2.1.3
% 44.32/6.81 % (3974988)Termination reason: Refutation not found, incomplete strategy
% 44.32/6.81 % (3974988)Time elapsed: 0.0000 s
% 44.32/6.81 % (3974988)Peak memory usage: 11 MB
% 44.32/6.81 % (3974988)------------------------------
% 52.19/7.89 % (3974988)------------------------------
% 52.19/7.89 % (3974976)Instruction limit reached!
% 52.19/7.89 % (3974976)------------------------------
% 52.19/7.89 % (3974976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.19/7.89 % (3974976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.19/7.89 % (3974976)CaDiCaL version: 2.1.3
% 52.19/7.89 % (3974976)Termination reason: Instruction limit
% 52.19/7.89 % (3974976)Termination phase: Saturation
% 52.19/7.89 % (3974976)Time elapsed: 0.219 s
% 52.19/7.89 % (3974976)Peak memory usage: 14 MB
% 52.19/7.89 % (3974976)Instructions burned: 446 (million)
% 52.19/7.89 % (3974990)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=1991888902:i=1352:add=off:kws=frequency:rtra=on:ntd=on_2941 on theBenchmark for (2941ds/1352Mi)
% 52.19/7.89 % (3974991)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=4086585147:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2941 on theBenchmark for (2941ds/693Mi)
% 52.19/7.89 % (3974942)Instruction limit reached!
% 52.19/7.89 % (3974942)------------------------------
% 52.19/7.89 % (3974942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.19/7.89 % (3974942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.19/7.89 % (3974942)CaDiCaL version: 2.1.3
% 52.19/7.89 % (3974942)Termination reason: Instruction limit
% 52.19/7.89 % (3974942)Termination phase: Saturation
% 52.19/7.89 % (3974942)Time elapsed: 1.324 s
% 52.19/7.89 % (3974942)Peak memory usage: 14 MB
% 52.19/7.89 % (3974942)Instructions burned: 3166 (million)
% 52.19/7.89 % (3974994)lrs+1010_1_to=lpo:sil=128000:drc=ordering:cnfonf=lazy_gen:si=on:nwc=2:random_seed=1503873285:s2a=on:i=908:bd=all:rtra=on:fe=abstraction:ntd=on_2940 on theBenchmark for (2940ds/908Mi)
% 52.19/7.89 % (3974962)Instruction limit reached!
% 52.19/7.89 % (3974962)------------------------------
% 52.19/7.89 % (3974962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.19/7.89 % (3974962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.19/7.89 % (3974962)CaDiCaL version: 2.1.3
% 52.19/7.89 % (3974962)Termination reason: Instruction limit
% 52.19/7.89 % (3974962)Termination phase: Saturation
% 52.19/7.89 % (3974962)Time elapsed: 0.758 s
% 52.19/7.89 % (3974962)Peak memory usage: 14 MB
% 52.19/7.89 % (3974962)Instructions burned: 2221 (million)
% 52.19/7.89 % (3974958)Instruction limit reached!
% 52.19/7.89 % (3974958)------------------------------
% 52.19/7.89 % (3974958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.19/7.89 % (3974958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.19/7.89 % (3974958)CaDiCaL version: 2.1.3
% 52.19/7.89 % (3974958)Termination reason: Instruction limit
% 52.19/7.89 % (3974958)Termination phase: Saturation
% 52.19/7.89 % (3974958)Time elapsed: 0.941 s
% 52.19/7.89 % (3974958)Peak memory usage: 17 MB
% 52.19/7.89 % (3974958)Instructions burned: 2276 (million)
% 52.19/7.89 % (3974996)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=2986759549:i=6901:add=on:slsql=off:rtra=on:ntd=on_2939 on theBenchmark for (2939ds/6901Mi)
% 52.19/7.89 % (3974997)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1955669425:uwa_fpi=on:i=3621:add=on:doe=on:ins=1:rtra=on_2939 on theBenchmark for (2939ds/3621Mi)
% 52.19/7.89 % (3974991)Instruction limit reached!
% 52.19/7.89 % (3974991)------------------------------
% 52.19/7.89 % (3974991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.19/7.89 % (3974991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.19/7.89 % (3974991)CaDiCaL version: 2.1.3
% 52.19/7.89 % (3974991)Termination reason: Instruction limit
% 52.19/7.89 % (3974991)Termination phase: Saturation
% 52.19/7.89 % (3974991)Time elapsed: 0.278 s
% 52.19/7.89 % (3974991)Peak memory usage: 12 MB
% 52.19/7.89 % (3974991)Instructions burned: 695 (million)
% 52.19/7.89 % (3975000)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=959137222:i=1160:kws=precedence:bd=preordered:av=off:rtra=on_2938 on theBenchmark for (2938ds/1160Mi)
% 52.19/7.89 % (3975000)Refutation not found, incomplete strategy
% 52.19/7.89 % (3975000)------------------------------
% 52.19/7.89 % (3975000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.13/8.70 % (3975000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.13/8.70 % (3975000)CaDiCaL version: 2.1.3
% 59.13/8.70 % (3975000)Termination reason: Refutation not found, incomplete strategy
% 59.13/8.70 % (3975000)Time elapsed: 0.002 s
% 59.13/8.70 % (3975000)Peak memory usage: 11 MB
% 59.13/8.70 % (3975000)Instructions burned: 3 (million)
% 59.13/8.70 % (3975000)------------------------------
% 59.13/8.70 % (3975000)------------------------------
% 59.13/8.70 % (3975002)ott+1003_256_anc=none:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:cbe=off:nwc=2:random_seed=3539176778:i=570:kws=frequency:aac=none:ep=RSTC:rtra=on:ntd=on:rawr=on_2938 on theBenchmark for (2938ds/570Mi)
% 59.13/8.70 % (3974990)Instruction limit reached!
% 59.13/8.70 % (3974990)------------------------------
% 59.13/8.70 % (3974990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.13/8.70 % (3974990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.13/8.70 % (3974990)CaDiCaL version: 2.1.3
% 59.13/8.70 % (3974990)Termination reason: Instruction limit
% 59.13/8.71 % (3974990)Termination phase: Saturation
% 59.13/8.71 % (3974990)Time elapsed: 0.368 s
% 59.13/8.71 % (3974990)Peak memory usage: 12 MB
% 59.13/8.71 % (3974990)Instructions burned: 1357 (million)
% 59.13/8.71 % (3975004)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=2026207410:i=324:bd=all:ins=4:rtra=on_2937 on theBenchmark for (2937ds/324Mi)
% 59.13/8.71 % (3975004)Instruction limit reached!
% 59.13/8.71 % (3975004)------------------------------
% 59.13/8.71 % (3975004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.13/8.71 % (3975004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.13/8.71 % (3975004)CaDiCaL version: 2.1.3
% 59.13/8.71 % (3975004)Termination reason: Instruction limit
% 59.13/8.71 % (3975004)Termination phase: Saturation
% 59.13/8.71 % (3975004)Time elapsed: 0.075 s
% 59.13/8.71 % (3975004)Peak memory usage: 14 MB
% 59.13/8.71 % (3975004)Instructions burned: 327 (million)
% 59.13/8.71 % (3975006)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:e2e=on:si=on:lma=off:bsr=on:uwa=interpreted_only:nwc=1:sac=on:random_seed=2550472730:s2a=on:i=5712:rtra=on_2937 on theBenchmark for (2937ds/5712Mi)
% 59.13/8.71 % (3975002)Instruction limit reached!
% 59.13/8.71 % (3975002)------------------------------
% 59.13/8.71 % (3975002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.13/8.71 % (3975002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.13/8.71 % (3975002)CaDiCaL version: 2.1.3
% 59.13/8.71 % (3975002)Termination reason: Instruction limit
% 59.13/8.71 % (3975002)Termination phase: Saturation
% 59.13/8.71 % (3975002)Time elapsed: 0.232 s
% 59.13/8.71 % (3975002)Peak memory usage: 13 MB
% 59.13/8.71 % (3975002)Instructions burned: 570 (million)
% 59.13/8.71 % (3975008)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 59.13/8.71 % (3975008)WARNING Broken Constraint: if positive_literal_split_queue_layered_arrangement(on) has been set then positive_literal_split_queue(off) is equal to on
% 59.13/8.71 % (3975008)ott+1010_3:16_to=lpo:sil=128000:cnfonf=lazy_simp:si=on:lma=off:plsqr=32,1:plsql=on:uwa=interpreted_only:random_seed=3998036643:i=901:rtra=on:fsd=on_2936 on theBenchmark for (2936ds/901Mi)
% 59.13/8.71 % (3974994)Instruction limit reached!
% 59.13/8.71 % (3974994)------------------------------
% 59.13/8.71 % (3974994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.13/8.71 % (3974994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.13/8.71 % (3974994)CaDiCaL version: 2.1.3
% 59.13/8.71 % (3974994)Termination reason: Instruction limit
% 59.13/8.71 % (3974994)Termination phase: Saturation
% 59.13/8.71 % (3974994)Time elapsed: 0.433 s
% 59.13/8.71 % (3974994)Peak memory usage: 15 MB
% 59.13/8.71 % (3974994)Instructions burned: 910 (million)
% 59.13/8.71 % (3975010)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4151526853:st=3:s2a=on:i=2961:sd=3:rtra=on:ss=axioms_2935 on theBenchmark for (2935ds/2961Mi)
% 59.13/8.71 % (3975010)Refutation not found, incomplete strategy
% 59.13/8.71 % (3975010)------------------------------
% 59.13/8.71 % (3975010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 59.13/8.71 % (3975010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.72/9.42 % (3975010)CaDiCaL version: 2.1.3
% 63.72/9.42 % (3975010)Termination reason: Refutation not found, incomplete strategy
% 63.72/9.42 % (3975010)Time elapsed: 0.001 s
% 63.72/9.42 % (3975010)Peak memory usage: 11 MB
% 63.72/9.42 % (3975010)------------------------------
% 63.72/9.42 % (3975010)------------------------------
% 63.72/9.42 % (3975012)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=4222772237:hsq=on:hsqr=16,1:s2a=on:i=3526:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2935 on theBenchmark for (2935ds/3526Mi)
% 63.72/9.42 % (3975008)Instruction limit reached!
% 63.72/9.42 % (3975008)------------------------------
% 63.72/9.42 % (3975008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.72/9.42 % (3975008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.72/9.42 % (3975008)CaDiCaL version: 2.1.3
% 63.72/9.42 % (3975008)Termination reason: Instruction limit
% 63.72/9.42 % (3975008)Termination phase: Saturation
% 63.72/9.42 % (3975008)Time elapsed: 0.349 s
% 63.72/9.42 % (3975008)Peak memory usage: 12 MB
% 63.72/9.42 % (3975008)Instructions burned: 903 (million)
% 63.72/9.42 % (3975014)dis+10_1024_sil=128000:si=on:uwa=off:random_seed=2624427610:st=4:i=3368:sd=3:rtra=on:ss=axioms:sgt=10_2932 on theBenchmark for (2932ds/3368Mi)
% 63.72/9.42 % (3975014)Refutation not found, incomplete strategy
% 63.72/9.42 % (3975014)------------------------------
% 63.72/9.42 % (3975014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.72/9.42 % (3975014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.72/9.42 % (3975014)CaDiCaL version: 2.1.3
% 63.72/9.42 % (3975014)Termination reason: Refutation not found, incomplete strategy
% 63.72/9.42 % (3975014)Time elapsed: 0.001 s
% 63.72/9.42 % (3975014)Peak memory usage: 11 MB
% 63.72/9.42 % (3975014)------------------------------
% 63.72/9.42 % (3975014)------------------------------
% 63.72/9.42 % (3975016)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=3736313858:i=20626:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2932 on theBenchmark for (2932ds/20626Mi)
% 63.72/9.42 % (3975006)Instruction limit reached!
% 63.72/9.42 % (3975006)------------------------------
% 63.72/9.42 % (3975006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.72/9.42 % (3975006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.72/9.42 % (3975006)CaDiCaL version: 2.1.3
% 63.72/9.42 % (3975006)Termination reason: Instruction limit
% 63.72/9.42 % (3975006)Termination phase: Saturation
% 63.72/9.42 % (3975006)Time elapsed: 0.956 s
% 63.72/9.42 % (3975006)Peak memory usage: 14 MB
% 63.72/9.42 % (3975006)Instructions burned: 5718 (million)
% 63.72/9.42 % (3975018)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2850457018:hsq=on:hsqr=1,8:i=27154:hsql=off:bd=all:rtra=on:ixr=off_2927 on theBenchmark for (2927ds/27154Mi)
% 63.72/9.42 % (3974997)Instruction limit reached!
% 63.72/9.42 % (3974997)------------------------------
% 63.72/9.42 % (3974997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.72/9.42 % (3974997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.72/9.42 % (3974997)CaDiCaL version: 2.1.3
% 63.72/9.42 % (3974997)Termination reason: Instruction limit
% 63.72/9.42 % (3974997)Termination phase: Saturation
% 63.72/9.42 % (3974997)Time elapsed: 1.436 s
% 63.72/9.42 % (3974997)Peak memory usage: 16 MB
% 63.72/9.42 % (3974997)Instructions burned: 3621 (million)
% 63.72/9.42 % (3974981)Instruction limit reached!
% 63.72/9.42 % (3974981)------------------------------
% 63.72/9.42 % (3974981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 63.72/9.42 % (3974981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.72/9.42 % (3974981)CaDiCaL version: 2.1.3
% 63.72/9.42 % (3974981)Termination reason: Instruction limit
% 63.72/9.42 % (3974981)Termination phase: Saturation
% 63.72/9.42 % (3974981)Time elapsed: 1.738 s
% 63.72/9.42 % (3974981)Peak memory usage: 18 MB
% 63.72/9.42 % (3974981)Instructions burned: 4071 (million)
% 63.72/9.42 % (3975020)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=651083436:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2924 on theBenchmark for (2924ds/515Mi)
% 63.72/9.42 % (3975020)Refutation not found, incomplete strategy
% 63.72/9.42 % (3975020)------------------------------
% 66.34/9.79 % (3975020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.34/9.79 % (3975020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.34/9.79 % (3975020)CaDiCaL version: 2.1.3
% 66.34/9.79 % (3975020)Termination reason: Refutation not found, incomplete strategy
% 66.34/9.79 % (3975020)Time elapsed: 0.001 s
% 66.34/9.79 % (3975020)Peak memory usage: 11 MB
% 66.34/9.79 % (3975020)------------------------------
% 66.34/9.79 % (3975020)------------------------------
% 66.34/9.79 % (3975021)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=136416896:s2a=on:i=2653:s2at=6:nm=2:rtra=on_2924 on theBenchmark for (2924ds/2653Mi)
% 66.34/9.79 % (3975023)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
% 66.34/9.79 % (3975023)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=464016716:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2924 on theBenchmark for (2924ds/1297Mi)
% 66.34/9.79 % (3975012)Instruction limit reached!
% 66.34/9.79 % (3975012)------------------------------
% 66.34/9.79 % (3975012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.34/9.79 % (3975012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.34/9.79 % (3975012)CaDiCaL version: 2.1.3
% 66.34/9.79 % (3975012)Termination reason: Instruction limit
% 66.34/9.79 % (3975012)Termination phase: Saturation
% 66.34/9.79 % (3975012)Time elapsed: 1.116 s
% 66.34/9.79 % (3975012)Peak memory usage: 14 MB
% 66.34/9.79 % (3975012)Instructions burned: 3527 (million)
% 66.34/9.79 % (3975026)lrs+21_8_to=kbo:tgt=ground:fde=unused:e2e=on:si=on:uwa=hol:foolp=on:random_seed=1894327294:uwa_fpi=on:i=1950:kws=frequency:bd=preordered:rtra=on:fe=abstraction_2923 on theBenchmark for (2923ds/1950Mi)
% 66.34/9.79 % (3975023)Instruction limit reached!
% 66.34/9.79 % (3975023)------------------------------
% 66.34/9.79 % (3975023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.34/9.79 % (3975023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.34/9.79 % (3975023)CaDiCaL version: 2.1.3
% 66.34/9.79 % (3975023)Termination reason: Instruction limit
% 66.34/9.79 % (3975023)Termination phase: Saturation
% 66.34/9.79 % (3975023)Time elapsed: 0.519 s
% 66.34/9.79 % (3975023)Peak memory usage: 13 MB
% 66.34/9.79 % (3975023)Instructions burned: 1300 (million)
% 66.34/9.79 % (3975028)dis+1010_1_anc=none:to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=arity:lma=off:urr=on:bce=on:nwc=20:br=off:avsqc=1:random_seed=962167291:avsq=on:i=2818:add=on:avsqr=16,1:hud=0:rtra=on:ss=included:ixr=off:sgt=16_2919 on theBenchmark for (2919ds/2818Mi)
% 66.34/9.79 % (3974996)Instruction limit reached!
% 66.34/9.79 % (3974996)------------------------------
% 66.34/9.79 % (3974996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.34/9.79 % (3974996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.34/9.79 % (3974996)CaDiCaL version: 2.1.3
% 66.34/9.79 % (3974996)Termination reason: Instruction limit
% 66.34/9.79 % (3974996)Termination phase: Saturation
% 66.34/9.79 % (3974996)Time elapsed: 2.217 s
% 66.34/9.79 % (3974996)Peak memory usage: 14 MB
% 66.34/9.79 % (3974996)Instructions burned: 6904 (million)
% 66.34/9.79 % (3975030)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=3918541881:s2a=on:i=573:rtra=on:gsp=on_2916 on theBenchmark for (2916ds/573Mi)
% 66.34/9.79 % (3975030)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 66.34/9.79 % (3975026)Instruction limit reached!
% 66.34/9.79 % (3975026)------------------------------
% 66.34/9.79 % (3975026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 66.34/9.79 % (3975026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 66.34/9.79 % (3975026)CaDiCaL version: 2.1.3
% 66.34/9.79 % (3975026)Termination reason: Instruction limit
% 66.34/9.79 % (3975026)Termination phase: Saturation
% 66.34/9.79 % (3975026)Time elapsed: 0.724 s
% 66.34/9.79 % (3975026)Peak memory usage: 14 MB
% 66.34/9.79 % (3975026)Instructions burned: 1950 (million)
% 66.34/9.79 % (3975032)lrs+10_1_sil=128000:cnfonf=off:si=on:fd=preordered:random_seed=1425143577:s2a=on:i=9598:bd=preordered:rtra=on:fe=abstraction_2916 on theBenchmark for (2916ds/9598Mi)
% 74.87/11.02 % (3975030)Instruction limit reached!
% 74.87/11.02 % (3975030)------------------------------
% 74.87/11.02 % (3975030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.87/11.02 % (3975030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.87/11.02 % (3975030)CaDiCaL version: 2.1.3
% 74.87/11.02 % (3975030)Termination reason: Instruction limit
% 74.87/11.02 % (3975030)Termination phase: Saturation
% 74.87/11.02 % (3975030)Time elapsed: 0.204 s
% 74.87/11.02 % (3975030)Peak memory usage: 12 MB
% 74.87/11.02 % (3975030)Instructions burned: 575 (million)
% 74.87/11.02 % (3975034)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 74.87/11.02 % (3975034)ott+1002_16_sil=128000:si=on:random_seed=2232526615:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2914 on theBenchmark for (2914ds/409Mi)
% 74.87/11.02 % (3975021)Instruction limit reached!
% 74.87/11.02 % (3975021)------------------------------
% 74.87/11.02 % (3975021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.87/11.02 % (3975021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.87/11.02 % (3975021)CaDiCaL version: 2.1.3
% 74.87/11.02 % (3975021)Termination reason: Instruction limit
% 74.87/11.02 % (3975021)Termination phase: Saturation
% 74.87/11.02 % (3975021)Time elapsed: 1.127 s
% 74.87/11.02 % (3975021)Peak memory usage: 14 MB
% 74.87/11.02 % (3975021)Instructions burned: 2654 (million)
% 74.87/11.02 % (3975034)Instruction limit reached!
% 74.87/11.02 % (3975034)------------------------------
% 74.87/11.02 % (3975034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.87/11.02 % (3975034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.87/11.02 % (3975034)CaDiCaL version: 2.1.3
% 74.87/11.02 % (3975034)Termination reason: Instruction limit
% 74.87/11.02 % (3975034)Termination phase: Saturation
% 74.87/11.02 % (3975034)Time elapsed: 0.152 s
% 74.87/11.02 % (3975034)Peak memory usage: 13 MB
% 74.87/11.02 % (3975034)Instructions burned: 412 (million)
% 74.87/11.02 % (3975036)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=1117054396:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2913 on theBenchmark for (2913ds/403Mi)
% 74.87/11.02 % (3975036)Refutation not found, incomplete strategy
% 74.87/11.02 % (3975036)------------------------------
% 74.87/11.02 % (3975036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.87/11.02 % (3975036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.87/11.02 % (3975036)CaDiCaL version: 2.1.3
% 74.87/11.02 % (3975036)Termination reason: Refutation not found, incomplete strategy
% 74.87/11.02 % (3975036)Time elapsed: 0.001 s
% 74.87/11.02 % (3975036)Peak memory usage: 11 MB
% 74.87/11.02 % (3975036)Instructions burned: 1 (million)
% 74.87/11.02 % (3975036)------------------------------
% 74.87/11.02 % (3975036)------------------------------
% 74.87/11.02 % (3975037)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1738992350:cond=on:i=1140:rtra=on:ntd=on_2913 on theBenchmark for (2913ds/1140Mi)
% 74.87/11.02 % (3975039)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3298585731:i=13574:kws=inv_precedence:rtra=on_2912 on theBenchmark for (2912ds/13574Mi)
% 74.87/11.02 % (3975039)Refutation not found, incomplete strategy
% 74.87/11.02 % (3975039)------------------------------
% 74.87/11.02 % (3975039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.87/11.02 % (3975039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.87/11.02 % (3975039)CaDiCaL version: 2.1.3
% 74.87/11.02 % (3975039)Termination reason: Refutation not found, incomplete strategy
% 74.87/11.02 % (3975039)Time elapsed: 0.001 s
% 74.87/11.02 % (3975039)Peak memory usage: 11 MB
% 74.87/11.02 % (3975039)Instructions burned: 1 (million)
% 74.87/11.02 % (3975039)------------------------------
% 74.87/11.02 % (3975039)------------------------------
% 74.87/11.02 % (3975042)lrs+10_2:1_si=on:random_seed=16282863:s2a=on:i=1055:rtra=on:fe=abstraction_2912 on theBenchmark for (2912ds/1055Mi)
% 74.87/11.02 % (3975037)Instruction limit reached!
% 74.87/11.02 % (3975037)------------------------------
% 74.87/11.02 % (3975037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 74.87/11.02 % (3975037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.01/11.67 % (3975037)CaDiCaL version: 2.1.3
% 79.01/11.67 % (3975037)Termination reason: Instruction limit
% 79.01/11.67 % (3975037)Termination phase: Saturation
% 79.01/11.67 % (3975037)Time elapsed: 0.356 s
% 79.01/11.67 % (3975037)Peak memory usage: 12 MB
% 79.01/11.67 % (3975037)Instructions burned: 1143 (million)
% 79.01/11.67 % (3975044)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 79.01/11.67 % (3975044)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=1618833918:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2909 on theBenchmark for (2909ds/416Mi)
% 79.01/11.67 % (3975042)Instruction limit reached!
% 79.01/11.67 % (3975042)------------------------------
% 79.01/11.67 % (3975042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.01/11.67 % (3975042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.01/11.67 % (3975042)CaDiCaL version: 2.1.3
% 79.01/11.67 % (3975042)Termination reason: Instruction limit
% 79.01/11.67 % (3975042)Termination phase: Saturation
% 79.01/11.67 % (3975042)Time elapsed: 0.451 s
% 79.01/11.67 % (3975042)Peak memory usage: 13 MB
% 79.01/11.67 % (3975042)Instructions burned: 1056 (million)
% 79.01/11.67 % (3975046)dis+10_5:1_to=lpo:fde=unused:si=on:spb=goal_then_units:uwa=off:s2agt=10:random_seed=569657536:s2a=on:i=8946:bd=preordered:av=off:rtra=on_2908 on theBenchmark for (2908ds/8946Mi)
% 79.01/11.67 % (3975044)Instruction limit reached!
% 79.01/11.67 % (3975044)------------------------------
% 79.01/11.67 % (3975044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.01/11.67 % (3975044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.01/11.67 % (3975044)CaDiCaL version: 2.1.3
% 79.01/11.67 % (3975044)Termination reason: Instruction limit
% 79.01/11.67 % (3975044)Termination phase: Saturation
% 79.01/11.67 % (3975044)Time elapsed: 0.199 s
% 79.01/11.67 % (3975044)Peak memory usage: 14 MB
% 79.01/11.67 % (3975044)Instructions burned: 416 (million)
% 79.01/11.67 % (3975048)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=688526727:s2a=on:i=2129:nm=16:rtra=on_2907 on theBenchmark for (2907ds/2129Mi)
% 79.01/11.67 % (3975048)Refutation not found, incomplete strategy
% 79.01/11.67 % (3975048)------------------------------
% 79.01/11.67 % (3975048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.01/11.67 % (3975048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.01/11.67 % (3975048)CaDiCaL version: 2.1.3
% 79.01/11.67 % (3975048)Termination reason: Refutation not found, incomplete strategy
% 79.01/11.67 % (3975048)Time elapsed: 0.001 s
% 79.01/11.67 % (3975048)Peak memory usage: 12 MB
% 79.01/11.67 % (3975048)Instructions burned: 1 (million)
% 79.01/11.67 % (3975048)------------------------------
% 79.01/11.67 % (3975048)------------------------------
% 79.01/11.67 % (3975050)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=674443224:uwa_fpi=on:i=300:bd=all:rtra=on:fe=abstraction:ntd=on_2906 on theBenchmark for (2906ds/300Mi)
% 79.01/11.67 % (3975028)Instruction limit reached!
% 79.01/11.67 % (3975028)------------------------------
% 79.01/11.67 % (3975028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.01/11.67 % (3975028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.01/11.67 % (3975028)CaDiCaL version: 2.1.3
% 79.01/11.67 % (3975028)Termination reason: Instruction limit
% 79.01/11.67 % (3975028)Termination phase: Saturation
% 79.01/11.67 % (3975028)Time elapsed: 1.311 s
% 79.01/11.67 % (3975028)Peak memory usage: 13 MB
% 79.01/11.67 % (3975028)Instructions burned: 2819 (million)
% 79.01/11.67 % (3975052)lrs+1010_1024_cnfonf=lazy_not_gen_be_off:si=on:sos=on:rp=on:random_seed=3245299776:cts=off:uwa_fpi=on:i=11464:doe=on:piset=equals:bd=preordered:nm=128:fsr=off:rtra=on:ixr=off_2905 on theBenchmark for (2905ds/11464Mi)
% 79.01/11.67 % (3975052)Refutation not found, incomplete strategy
% 79.01/11.67 % (3975052)------------------------------
% 79.01/11.67 % (3975052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.01/11.67 % (3975052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.01/11.67 % (3975052)CaDiCaL version: 2.1.3
% 79.01/11.67 % (3975052)Termination reason: Refutation not found, incomplete strategy
% 79.01/11.67 % (3975052)Time elapsed: 0.002 s
% 79.01/11.67 % (3975052)Peak memory usage: 11 MB
% 79.01/11.67 % (3975052)Instructions burned: 3 (million)
% 79.01/11.67 % (3975050)Instruction limit reached!
% 79.01/11.67 % (3975050)------------------------------
% 79.01/11.67 % (3975050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.01/11.67 % (3975050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.01/11.67 % (3975050)CaDiCaL version: 2.1.3
% 79.01/11.67 % (3975050)Termination reason: Instruction limit
% 79.01/11.67 % (3975050)Termination phase: Saturation
% 79.01/11.67 % (3975050)Time elapsed: 0.108 s
% 79.01/11.67 % (3975050)Peak memory usage: 13 MB
% 79.01/11.67 % (3975050)Instructions burned: 303 (million)
% 79.01/11.67 % (3975052)------------------------------
% 79.01/11.67 % (3975052)------------------------------
% 79.01/11.67 % (3975055)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=855794420:hsq=on:i=662:rtra=on:ixr=off_2905 on theBenchmark for (2905ds/662Mi)
% 79.01/11.67 % (3975054)dis+2_28_to=kbo:tgt=ground:plsq=on:plsqc=3:si=on:sp=unary_first:plsqr=32,1:spb=goal_then_units:uwa=off:fd=preordered:nwc=3:random_seed=1957242583:i=11001:add=on:sd=4:fsr=off:rtra=on:ss=included_2905 on theBenchmark for (2905ds/11001Mi)
% 79.01/11.67 % (3975055)Instruction limit reached!
% 79.01/11.67 % (3975055)------------------------------
% 79.01/11.67 % (3975055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.01/11.67 % (3975055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.01/11.67 % (3975055)CaDiCaL version: 2.1.3
% 79.01/11.67 % (3975055)Termination reason: Instruction limit
% 79.01/11.67 % (3975055)Termination phase: Saturation
% 79.01/11.67 % (3975055)Time elapsed: 0.259 s
% 79.01/11.67 % (3975055)Peak memory usage: 12 MB
% 79.01/11.67 % (3975055)Instructions burned: 664 (million)
% 79.01/11.67 % (3975058)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=2881472806:i=1714:bd=preordered:nm=32:rtra=on:fdi=1024_2902 on theBenchmark for (2902ds/1714Mi)
% 79.01/11.67 % (3975058)Instruction limit reached!
% 79.01/11.67 % (3975058)------------------------------
% 79.01/11.67 % (3975058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.01/11.67 % (3975058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.01/11.67 % (3975058)CaDiCaL version: 2.1.3
% 79.01/11.67 % (3975058)Termination reason: Instruction limit
% 79.01/11.67 % (3975058)Termination phase: Saturation
% 79.01/11.67 % (3975058)Time elapsed: 0.626 s
% 79.01/11.67 % (3975058)Peak memory usage: 15 MB
% 79.01/11.67 % (3975058)Instructions burned: 1714 (million)
% 79.01/11.67 % (3975060)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=1640069206:s2a=on:i=699:add=on:bd=preordered:ins=10:rtra=on_2896 on theBenchmark for (2896ds/699Mi)
% 79.01/11.67 % (3974954)Instruction limit reached!
% 79.01/11.67 % (3974954)------------------------------
% 79.01/11.67 % (3974954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.01/11.67 % (3974954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.01/11.67 % (3974954)CaDiCaL version: 2.1.3
% 79.01/11.67 % (3974954)Termination reason: Instruction limit
% 79.01/11.67 % (3974954)Termination phase: Saturation
% 79.01/11.67 % (3974954)Time elapsed: 5.735 s
% 79.01/11.67 % (3974954)Peak memory usage: 19 MB
% 79.01/11.67 % (3974954)Instructions burned: 17243 (million)
% 79.01/11.67 % (3975060)Instruction limit reached!
% 79.01/11.67 % (3975060)------------------------------
% 79.01/11.67 % (3975060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.01/11.67 % (3975060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.01/11.67 % (3975060)CaDiCaL version: 2.1.3
% 79.01/11.67 % (3975060)Termination reason: Instruction limit
% 79.01/11.67 % (3975060)Termination phase: Saturation
% 79.01/11.67 % (3975060)Time elapsed: 0.280 s
% 79.01/11.67 % (3975060)Peak memory usage: 14 MB
% 79.01/11.67 % (3975060)Instructions burned: 699 (million)
% 79.01/11.67 % (3975062)lrs+21_1_to=lpo:sil=128000:fde=none:e2e=on:si=on:lma=off:nwc=4:random_seed=2379714931:i=4542:bd=preordered:rtra=on:ss=axioms_2893 on theBenchmark for (2893ds/4542Mi)
% 79.01/11.67 % (3975062)Refutation not found, incomplete strategy
% 79.01/11.67 % (3975062)------------------------------
% 79.01/11.67 % (3975062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.01/11.67 % (3975062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.01/11.67 % (3975062)CaDiCaL version: 2.1.3
% 79.01/11.67 % (3975062)Termination reason: Refutation not found, incomplete strategy
% 79.01/11.67 % (3975062)Time elapsed: 0.001 s
% 79.01/11.67 % (3975062)Peak memory usage: 11 MB
% 79.01/11.67 % (3975062)------------------------------
% 79.01/11.67 % (3975062)------------------------------
% 79.01/11.67 % (3975063)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2762350532:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2893 on theBenchmark for (2893ds/280Mi)
% 79.01/11.67 % (3975065)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 79.01/11.67 % (3975065)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2166473323:i=13409:hud=10:nm=16:av=off:rtra=on:ntd=on_2893 on theBenchmark for (2893ds/13409Mi)
% 79.01/11.67 % (3975063)Instruction limit reached!
% 79.01/11.67 % (3975063)------------------------------
% 79.01/11.67 % (3975063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 79.01/11.67 % (3975063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 79.01/11.67 % (3975063)CaDiCaL version: 2.1.3
% 79.01/11.67 % (3975063)Termination reason: Instruction limit
% 79.01/11.67 % (3975063)Termination phase: Saturation
% 79.01/11.67 % (3975063)Time elapsed: 0.135 s
% 79.01/11.67 % (3975063)Peak memory usage: 13 MB
% 79.01/11.67 % (3975063)Instructions burned: 281 (million)
% 79.01/11.67 % (3975068)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=1420401077:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=26870:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2891 on theBenchmark for (2891ds/26870Mi)
% 79.01/11.67 % (3975016) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3974307-3975016"...
% 79.01/11.67 % (3975016)...printing done.
% 79.01/11.67 % (3975016)Refutation found. Thanks to Tanya!
% 79.01/11.67 % SZS status Unsatisfiable for theBenchmark
% 79.01/11.67 % SZS output start Proof for theBenchmark
% See solution above
% 80.59/11.71 % (3975016)------------------------------
% 80.59/11.71 % (3975016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.59/11.71 % (3975016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.59/11.71 % (3975016)CaDiCaL version: 2.1.3
% 80.59/11.71 % (3975016)Termination reason: Refutation
% 80.59/11.71 % (3975016)Time elapsed: 4.510 s
% 80.59/11.71 % (3975016)Peak memory usage: 30 MB
% 80.59/11.71 % (3975016)Instructions burned: 9534 (million)
% 80.59/11.71 % (3974307)Success in time 11.343 s
% 80.59/11.71 % Vampire exiting
%------------------------------------------------------------------------------