%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA137^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:57:16 AM UTC 2026
% Result : Unsatisfiable 118.06s 17.09s
% Output : Refutation 118.48s
% 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/sandbox2/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( b @ X0 @ X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X1: $i,X2: $i,X3: $i,X0: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X3 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X0: $i,X1: $i,X4: $i,X2: $i,X3: $i] :
( ~ ( b @ X1 @ X2 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X2 @ X4 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X3 @ X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f9,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X0 @ X1 )
| ~ ( r @ X3 @ X2 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X3 @ X0 ) ),
inference(rectify,[],[f6]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X3 @ X2 ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X3 @ X0 )
!= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X1 @ X3 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X3 @ X2 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X0 @ X3 )
| ~ ( b @ X4 @ X2 ) ),
inference(rectify,[],[f7]) ).
thf(f13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( $true
!= ( b @ X4 @ X2 ) ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( b @ X0 @ X1 )
| ( r @ X0 @ X1 ) ),
inference(rectify,[],[f5]) ).
thf(f15,plain,
! [X1: $i,X0: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f17,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f9]) ).
thf(f19,plain,
! [X1: $i,X0: $i,X3: $i,X2: $i] :
( ( ( r @ X3 @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X3 @ X2 ) )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X0: $i,X4: $i,X3: $i,X1: $i,X2: $i] :
( ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X3 @ X4 )
!= $true )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( $true
!= ( b @ X4 @ X2 ) )
| ( $true
!= ( b @ X1 @ X3 ) ) ),
inference(flattening,[],[f13]) ).
thf(f21,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f17]) ).
thf(f22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X2 @ X3 ) )
| ( ( r @ X1 @ X3 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f23,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( X0 = X1 )
| ( $true
= ( r @ X1 @ X0 ) ) ),
inference(rectify,[],[f15]) ).
thf(f24,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f25,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X2 @ X4 )
!= $true )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X1 @ X4 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true ) ),
inference(rectify,[],[f20]) ).
thf(f26,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X3 ) )
| ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f27,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( X0 = X1 )
| ( ( b @ X1 @ X0 )
= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f28,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f21]) ).
thf(f29,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f30,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f31,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X1 @ X4 )
!= $true )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( ( b @ X2 @ X4 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f32,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f35,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f27,f32]) ).
thf(f36,plain,
! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(extensionality_resolution,[],[f27,f32]) ).
thf(f37,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f27,f29]) ).
thf(f40,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true
!= ( r @ X2 @ X3 ) )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(constrained_superposition,[],[f26,f27]) ).
thf(f41,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X3 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f40]) ).
thf(f42,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ z )
!= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(constrained_superposition,[],[f31,f35]) ).
thf(f43,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ z )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f42]) ).
thf(f45,definition,
( spl0_1
<=> ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( b @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f46,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
thf(f48,definition,
( spl0_2
<=> ! [X2: $i,X3: $i] :
( ( ( b @ X3 @ z )
!= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X2 @ X3 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f49,plain,
( ! [X2: $i,X3: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X3 @ z )
!= $true ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f48]) ).
thf(f50,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f43,f48,f45]) ).
thf(f52,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true != $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X3 @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(constrained_superposition,[],[f31,f36]) ).
thf(f54,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X3 @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f52]) ).
thf(f61,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( X0 = X1 )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f37,f29]) ).
thf(f63,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(extensionality_resolution,[],[f37,f32]) ).
thf(f64,plain,
! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f37,f32]) ).
thf(f73,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f31,f63]) ).
thf(f74,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X3 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f73]) ).
thf(f78,definition,
( spl0_3
<=> ( ( b @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f79,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_3 ),
inference(avatar_component_clause,[],[f78]) ).
thf(f81,definition,
( spl0_4
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f82,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f81]) ).
thf(f88,definition,
( spl0_6
<=> ( ( b @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f89,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_6 ),
inference(avatar_component_clause,[],[f88]) ).
thf(f93,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_3 ),
inference(constrained_superposition,[],[f79,f36]) ).
thf(f94,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_3 ),
inference(trivial_inequality_removal,[],[f93]) ).
thf(f111,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f54,f64]) ).
thf(f114,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f31,f64]) ).
thf(f115,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true ) ),
inference(trivial_inequality_removal,[],[f111]) ).
thf(f118,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f114]) ).
thf(f120,definition,
( spl0_7
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f121,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f120]) ).
thf(f123,definition,
( spl0_8
<=> ! [X2: $i,X3: $i] :
( ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f124,plain,
( ! [X2: $i,X3: $i] :
( ( $true
!= ( b @ X3 @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f123]) ).
thf(f125,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f118,f123,f120]) ).
thf(f140,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X2 ) @ X0 ) )
| ( $true
= ( b @ ( s @ X2 ) @ z ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true ) ),
inference(extensionality_resolution,[],[f41,f32]) ).
thf(f141,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ X2 ) )
!= $true )
| ( ( b @ z @ ( s @ X2 ) )
= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ),
inference(extensionality_resolution,[],[f41,f32]) ).
thf(f144,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X3 )
!= $true )
| ( X2 = X3 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( b @ X2 @ X3 )
= $true )
| ( X0 = X1 )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f41,f27]) ).
thf(f146,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( X0 = X1 ) )
| spl0_3 ),
inference(constrained_superposition,[],[f41,f94]) ).
thf(f148,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X0 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X2 @ X3 )
= $true )
| ( X2 = X3 )
| ( ( r @ X0 @ X3 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f144]) ).
thf(f149,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) )
| spl0_3 ),
inference(trivial_inequality_removal,[],[f146]) ).
thf(f193,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ X0 ) ) ) )
| spl0_3 ),
inference(extensionality_resolution,[],[f149,f32]) ).
thf(f202,definition,
( spl0_10
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f203,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ X0 ) ) ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f202]) ).
thf(f205,definition,
( spl0_11
<=> ( $true
= ( r @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f206,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| spl0_11 ),
inference(avatar_component_clause,[],[f205]) ).
thf(f207,plain,
( spl0_10
| ~ spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f193,f78,f205,f202]) ).
thf(f208,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_11 ),
inference(constrained_superposition,[],[f206,f27]) ).
thf(f209,plain,
( ( ( b @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_11 ),
inference(trivial_inequality_removal,[],[f208]) ).
thf(f210,plain,
( ( ( b @ z @ ( s @ z ) )
= $true )
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f209,f32]) ).
thf(f211,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| spl0_11 ),
inference(constrained_superposition,[],[f31,f210]) ).
thf(f212,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| spl0_11 ),
inference(trivial_inequality_removal,[],[f211]) ).
thf(f249,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f124,f35]) ).
thf(f258,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f249]) ).
thf(f260,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_8
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f258,f206]) ).
thf(f265,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_8
| spl0_11 ),
inference(constrained_superposition,[],[f260,f63]) ).
thf(f268,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_8
| spl0_11 ),
inference(trivial_inequality_removal,[],[f265]) ).
thf(f271,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_8
| spl0_11 ),
inference(constrained_superposition,[],[f268,f36]) ).
thf(f272,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_8
| spl0_11 ),
inference(trivial_inequality_removal,[],[f271]) ).
thf(f273,plain,
( spl0_4
| ~ spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f272,f205,f123,f81]) ).
thf(f275,definition,
( spl0_13
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f276,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f275]) ).
thf(f277,plain,
( spl0_2
| spl0_13
| spl0_11 ),
inference(avatar_split_clause,[],[f212,f205,f275,f48]) ).
thf(f279,definition,
( spl0_14
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f280,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f279]) ).
thf(f283,definition,
( spl0_15
<=> ( ( r @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f284,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f283]) ).
thf(f286,definition,
( spl0_16
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f287,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f286]) ).
thf(f288,plain,
( spl0_15
| spl0_16
| spl0_8 ),
inference(avatar_split_clause,[],[f115,f123,f286,f283]) ).
thf(f289,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| spl0_3 ),
inference(constrained_superposition,[],[f79,f36]) ).
thf(f290,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_3 ),
inference(trivial_inequality_removal,[],[f289]) ).
thf(f291,plain,
( spl0_15
| spl0_3 ),
inference(avatar_split_clause,[],[f290,f78,f283]) ).
thf(f292,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f203,f27]) ).
thf(f293,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( b @ z @ ( s @ X0 ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f292]) ).
thf(f296,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f46,f63]) ).
thf(f297,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f46,f64]) ).
thf(f300,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f297]) ).
thf(f301,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f296]) ).
thf(f302,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f205]) ).
thf(f303,plain,
( spl0_16
| spl0_11
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f300,f45,f205,f286]) ).
thf(f305,definition,
( spl0_17
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f306,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f305]) ).
thf(f307,plain,
( spl0_17
| ~ spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f301,f45,f88,f305]) ).
thf(f309,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
!= ( r @ z @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f41,f302]) ).
thf(f310,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f26,f302]) ).
thf(f311,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f310]) ).
thf(f313,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f309]) ).
thf(f316,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f311,f27]) ).
thf(f318,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f316]) ).
thf(f336,definition,
( spl0_18
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f337,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f336]) ).
thf(f358,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f121,f36]) ).
thf(f360,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f358]) ).
thf(f363,plain,
( spl0_14
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f360,f120,f78,f279]) ).
thf(f366,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ X1 ) @ ( s @ X0 ) )
= $true )
| ( X0 = X1 ) )
| ~ spl0_11 ),
inference(extensionality_resolution,[],[f313,f29]) ).
thf(f368,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( b @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f313,f302]) ).
thf(f370,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f368]) ).
thf(f372,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f370,f27]) ).
thf(f373,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( b @ X0 @ z )
= $true ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f372]) ).
thf(f420,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f124,f37]) ).
thf(f421,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f124,f63]) ).
thf(f425,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f421]) ).
thf(f426,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( z = X0 ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f420]) ).
thf(f427,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f425,f35]) ).
thf(f432,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f427]) ).
thf(f475,definition,
( spl0_20
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f476,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f475]) ).
thf(f478,definition,
( spl0_21
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( X1 = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
thf(f479,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( ( b @ X1 @ X2 )
= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( X1 = X2 ) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f478]) ).
thf(f584,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ z @ X0 ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f318,f27]) ).
thf(f585,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( $true
= ( b @ z @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f584]) ).
thf(f586,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( b @ z @ X0 ) )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( X0 = X1 ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f585,f27]) ).
thf(f590,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true
= ( b @ z @ X0 ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( X0 = X1 ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f586]) ).
thf(f615,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( z = X0 ) )
| ~ spl0_11 ),
inference(equality_factoring,[],[f590]) ).
thf(f616,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( $true
= ( b @ z @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f615]) ).
thf(f617,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
= $true )
| ( $true
= ( b @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f616]) ).
thf(f626,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( b @ z @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(constrained_superposition,[],[f124,f617]) ).
thf(f633,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( b @ z @ X0 ) ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f626]) ).
thf(f641,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X1 )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true != $true )
| ( z = X0 )
| ( ( b @ z @ X1 )
= $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(constrained_superposition,[],[f633,f37]) ).
thf(f651,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( b @ z @ X1 )
= $true )
| ( z = X1 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X1 ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f641]) ).
thf(f657,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
= $true )
| ( $true
= ( b @ X0 @ X3 ) )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( X1 = X2 )
| ( ( r @ X1 @ X3 )
!= $true )
| ( X0 = X3 ) ),
inference(constrained_superposition,[],[f148,f27]) ).
thf(f665,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X3 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X1 = X2 )
| ( X0 = X3 )
| ( ( b @ X1 @ X2 )
= $true )
| ( X0 = X1 )
| ( $true
= ( b @ X0 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f657]) ).
thf(f671,definition,
( spl0_24
<=> ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f672,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f671]) ).
thf(f678,definition,
( spl0_26
<=> ! [X1: $i] :
( ( z = X1 )
| ( ( b @ z @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f679,plain,
( ! [X1: $i] :
( ( ( b @ z @ X1 )
= $true )
| ( z = X1 ) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f678]) ).
thf(f739,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| spl0_15 ),
inference(avatar_component_clause,[],[f283]) ).
thf(f741,definition,
( spl0_29
<=> ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f742,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f741]) ).
thf(f744,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ z )
= $true )
| spl0_15 ),
inference(constrained_superposition,[],[f739,f27]) ).
thf(f745,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ z )
= $true )
| spl0_15 ),
inference(trivial_inequality_removal,[],[f744]) ).
thf(f746,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f745,f32]) ).
thf(f817,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_11 ),
inference(extensionality_resolution,[],[f366,f32]) ).
thf(f820,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= z )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ X1 ) ) ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f366,f27]) ).
thf(f821,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ ( s @ X1 ) ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( s @ X0 )
= z )
| ( X0 = X1 ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f820]) ).
thf(f822,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ ( s @ X1 ) ) )
| ( X0 = X1 )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f821,f32]) ).
thf(f823,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f817,f302]) ).
thf(f824,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f823,f27]) ).
thf(f825,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f824]) ).
thf(f826,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f825,f32]) ).
thf(f898,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_11 ),
inference(extensionality_resolution,[],[f822,f32]) ).
thf(f899,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f822,f302]) ).
thf(f900,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X1 ) @ ( s @ X0 ) )
= $true )
| ( X0 = X1 )
| ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( b @ ( s @ X1 ) @ z )
= $true )
| ( ( s @ X0 )
= z ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f822,f27]) ).
thf(f901,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ ( s @ X1 ) @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= z )
| ( ( b @ ( s @ X1 ) @ z )
= $true )
| ( $true
= ( b @ z @ ( s @ X0 ) ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f900]) ).
thf(f902,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f899]) ).
thf(f903,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X1 ) @ ( s @ X0 ) )
= $true )
| ( X0 = X1 )
| ( ( b @ ( s @ X1 ) @ z )
= $true )
| ( $true
= ( b @ z @ ( s @ X0 ) ) ) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f901,f32]) ).
thf(f908,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(constrained_superposition,[],[f124,f902]) ).
thf(f911,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( b @ z @ X1 )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( s @ z )
= X1 )
| ( z = X1 ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(constrained_superposition,[],[f633,f902]) ).
thf(f915,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( z = X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f908]) ).
thf(f918,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( s @ z )
= X1 )
| ( ( b @ z @ X1 )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( z = X1 ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f911]) ).
thf(f924,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( z = X1 )
| ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
!= $true )
| ( z = X0 )
| ( ( b @ ( s @ X1 ) @ z )
= $true ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(constrained_superposition,[],[f915,f902]) ).
thf(f938,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
!= $true )
| ( ( b @ ( s @ X1 ) @ z )
= $true )
| ( z = X1 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f924]) ).
thf(f942,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_11 ),
inference(extensionality_resolution,[],[f903,f32]) ).
thf(f1039,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z
= ( s @ X1 ) )
| ( ( b @ z @ ( s @ X1 ) )
= $true )
| ( ( s @ X1 )
= ( s @ z ) )
| ( ( b @ z @ ( s @ X1 ) )
= $true )
| ( $true != $true )
| ( X0 = X1 )
| ( z = X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(constrained_superposition,[],[f918,f903]) ).
thf(f1041,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( s @ X1 )
= ( s @ z ) )
| ( z
= ( s @ X1 ) )
| ( $true != $true )
| ( X0 = X1 )
| ( ( b @ z @ ( s @ X1 ) )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f1039]) ).
thf(f1042,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= ( s @ z ) )
| ( z = X0 )
| ( ( b @ z @ ( s @ X1 ) )
= $true )
| ( z
= ( s @ X1 ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1041]) ).
thf(f1044,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 )
| ( ( b @ z @ ( s @ X1 ) )
= $true )
| ( ( s @ X1 )
= ( s @ z ) )
| ( z = X0 ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1042,f32]) ).
thf(f1084,definition,
( spl0_31
<=> ! [X1: $i] :
( ( r @ ( s @ z ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
thf(f1085,plain,
( ! [X1: $i] :
( ( r @ ( s @ z ) @ X1 )
!= $true )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f1084]) ).
thf(f1090,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f61,f32]) ).
thf(f1175,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ X1 ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 )
| ( z = X1 ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(constrained_superposition,[],[f938,f37]) ).
thf(f1177,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( ( b @ ( s @ X1 ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 )
| ( z = X0 )
| ( z = X1 ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1175]) ).
thf(f1300,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ X1 ) @ z )
= $true )
| ( z = X0 )
| ( z = X1 )
| ( $true
!= ( r @ ( s @ X1 ) @ X2 ) )
| ( X0 = X1 )
| ( $true != $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X1 ) @ z )
!= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(constrained_superposition,[],[f140,f1177]) ).
thf(f1318,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X1 ) @ X2 ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( z = X1 )
| ( ( b @ ( s @ X1 ) @ z )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ X1 ) @ z )
!= $true ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f1300]) ).
thf(f1319,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X1 ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ X1 ) @ X2 ) )
| ( X0 = X1 )
| ( ( b @ ( s @ X1 ) @ z )
= $true )
| ( z = X0 )
| ( z = X1 ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f1318]) ).
thf(f1328,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X1 ) @ X2 ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ X1 ) @ z )
= $true )
| ( z = X1 )
| ( X0 = X1 )
| ( z = X0 ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f1319,f36]) ).
thf(f1525,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f31,f1090]) ).
thf(f1540,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ X3 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1525]) ).
thf(f1558,definition,
( spl0_35
<=> ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f1559,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_35 ),
inference(avatar_component_clause,[],[f1558]) ).
thf(f1567,definition,
( spl0_37
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
thf(f1568,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f1567]) ).
thf(f1570,definition,
( spl0_38
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f1571,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f1570]) ).
thf(f1584,definition,
( spl0_41
<=> ! [X2: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f1585,plain,
( ! [X2: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X2 ) ) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f1584]) ).
thf(f1596,definition,
( spl0_43
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
thf(f1597,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f1596]) ).
thf(f1608,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f1558]) ).
thf(f1613,definition,
( spl0_45
<=> ( ( s @ z )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
thf(f1614,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f1613]) ).
thf(f1658,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f63,f1614]) ).
thf(f1771,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f1658,f30]) ).
thf(f1780,definition,
( spl0_49
<=> ! [X1: $i] :
( ( ( b @ ( s @ X1 ) @ z )
= $true )
| ( z = X1 )
| ( ( s @ z )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
thf(f1781,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ X1 ) @ z )
= $true )
| ( ( s @ z )
= X1 )
| ( z = X1 ) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f1780]) ).
thf(f1799,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f1771,f28]) ).
thf(f1800,plain,
~ spl0_45,
inference(avatar_contradiction_clause,[],[f1799]) ).
thf(f1823,definition,
( spl0_50
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
thf(f1824,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f1823]) ).
thf(f1826,definition,
( spl0_51
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
thf(f1827,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f1826]) ).
thf(f1854,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_11
| ~ spl0_43 ),
inference(constrained_superposition,[],[f311,f1597]) ).
thf(f1862,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_11
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f1854]) ).
thf(f1877,definition,
( spl0_53
<=> ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
thf(f1878,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_53 ),
inference(avatar_component_clause,[],[f1877]) ).
thf(f1880,definition,
( spl0_54
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f1881,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f1880]) ).
thf(f1882,plain,
( ~ spl0_53
| spl0_54
| ~ spl0_11
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f1862,f1596,f205,f1880,f1877]) ).
thf(f1886,definition,
( spl0_55
<=> ! [X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
thf(f1887,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f1886]) ).
thf(f1894,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_53 ),
inference(constrained_superposition,[],[f1878,f27]) ).
thf(f1895,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_53 ),
inference(trivial_inequality_removal,[],[f1894]) ).
thf(f2016,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_18
| ~ spl0_37 ),
inference(constrained_superposition,[],[f337,f1568]) ).
thf(f2020,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f337,f36]) ).
thf(f2022,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_18
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f2016]) ).
thf(f2026,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f2020]) ).
thf(f2031,plain,
( spl0_14
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f2026,f336,f279]) ).
thf(f2056,definition,
( spl0_59
<=> ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( s @ z )
= X1 )
| ( ( b @ ( s @ z ) @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
thf(f2057,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
= $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f2056]) ).
thf(f2065,plain,
( spl0_17
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f432,f123,f88,f305]) ).
thf(f2086,plain,
( ( ( b @ z @ ( s @ z ) )
= $true )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f88]) ).
thf(f2228,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_10
| ~ spl0_50 ),
inference(constrained_superposition,[],[f1824,f293]) ).
thf(f2234,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_10
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f2228]) ).
thf(f2245,definition,
( spl0_66
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 )
| ( $true
= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
thf(f2246,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X1 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( b @ X1 @ z ) ) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f2245]) ).
thf(f2248,definition,
( spl0_67
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
thf(f2249,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f2248]) ).
thf(f2258,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_67 ),
inference(constrained_superposition,[],[f2249,f1090]) ).
thf(f2265,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f2258]) ).
thf(f2309,definition,
( spl0_68
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
thf(f2310,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_68 ),
inference(avatar_component_clause,[],[f2309]) ).
thf(f2350,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f1540,f902]) ).
thf(f2368,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f2350]) ).
thf(f2376,definition,
( spl0_72
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
thf(f2377,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_72 ),
inference(avatar_component_clause,[],[f2376]) ).
thf(f2387,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_11
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f2368,f2265]) ).
thf(f2391,definition,
( spl0_73
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
thf(f2392,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f2391]) ).
thf(f2402,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_11
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f2387,f32]) ).
thf(f2413,plain,
( spl0_73
| ~ spl0_72
| ~ spl0_11
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f2402,f2248,f205,f2376,f2391]) ).
thf(f2419,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_11
| spl0_72 ),
inference(constrained_superposition,[],[f2377,f617]) ).
thf(f2425,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_11
| spl0_72 ),
inference(trivial_inequality_removal,[],[f2419]) ).
thf(f2444,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_24
| ~ spl0_50 ),
inference(constrained_superposition,[],[f1824,f672]) ).
thf(f2451,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_24
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f2444]) ).
thf(f2457,definition,
( spl0_78
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
thf(f2458,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) ) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f2457]) ).
thf(f2461,definition,
( spl0_79
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
thf(f2462,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f2461]) ).
thf(f2463,plain,
( spl0_79
| spl0_45
| ~ spl0_24
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f2451,f1823,f671,f1613,f2461]) ).
thf(f2466,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_51
| ~ spl0_55 ),
inference(constrained_superposition,[],[f1827,f1887]) ).
thf(f2524,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_51
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f2466]) ).
thf(f2535,definition,
( spl0_80
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
thf(f2536,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f2535]) ).
thf(f2539,definition,
( spl0_81
<=> ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
thf(f2540,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f2539]) ).
thf(f2542,definition,
( spl0_82
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
thf(f2543,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f2542]) ).
thf(f2546,definition,
( spl0_83
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
thf(f2547,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f2546]) ).
thf(f2552,plain,
( spl0_82
| ~ spl0_51
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f2524,f1886,f1826,f2542]) ).
thf(f2560,definition,
( spl0_85
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
thf(f2561,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f2560]) ).
thf(f2603,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f26,f280]) ).
thf(f2610,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f2603]) ).
thf(f2671,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_11
| spl0_72 ),
inference(forward_subsumption_resolution,[],[f2425,f32]) ).
thf(f2682,plain,
( spl0_79
| spl0_35
| spl0_45
| ~ spl0_10
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f2234,f1823,f202,f1613,f1558,f2461]) ).
thf(f2686,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f1895,f32]) ).
thf(f2692,plain,
( spl0_35
| spl0_45
| ~ spl0_11
| spl0_72 ),
inference(avatar_split_clause,[],[f2671,f2376,f205,f1613,f1558]) ).
thf(f2700,plain,
( spl0_35
| spl0_53 ),
inference(avatar_split_clause,[],[f2686,f1877,f1558]) ).
thf(f2746,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_81 ),
inference(avatar_component_clause,[],[f2539]) ).
thf(f2788,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_81 ),
inference(constrained_superposition,[],[f2746,f27]) ).
thf(f2789,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_81 ),
inference(trivial_inequality_removal,[],[f2788]) ).
thf(f2795,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_37 ),
inference(constrained_superposition,[],[f49,f1568]) ).
thf(f2804,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f2795]) ).
thf(f2825,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_37 ),
inference(constrained_superposition,[],[f2804,f61]) ).
thf(f2848,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f2825]) ).
thf(f3422,plain,
( ( $true != $true )
| ~ spl0_43
| ~ spl0_54 ),
inference(constrained_superposition,[],[f1881,f1597]) ).
thf(f3423,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_54 ),
inference(constrained_superposition,[],[f1881,f82]) ).
thf(f3427,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f1881,f27]) ).
thf(f3428,plain,
( $false
| ~ spl0_43
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f3422]) ).
thf(f3429,plain,
( ~ spl0_43
| ~ spl0_54 ),
inference(avatar_contradiction_clause,[],[f3428]) ).
thf(f3431,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f3427]) ).
thf(f3433,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f3423]) ).
thf(f3435,plain,
( spl0_55
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f3431,f1880,f1886]) ).
thf(f3436,plain,
( $false
| ~ spl0_4
| ~ spl0_54
| spl0_81 ),
inference(forward_subsumption_resolution,[],[f3433,f2746]) ).
thf(f3437,plain,
( ~ spl0_4
| ~ spl0_54
| spl0_81 ),
inference(avatar_contradiction_clause,[],[f3436]) ).
thf(f3542,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_14
| ~ spl0_31 ),
inference(constrained_superposition,[],[f1085,f280]) ).
thf(f3544,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f1085,f27]) ).
thf(f3546,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( b @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f3544]) ).
thf(f3549,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ~ spl0_14
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f3542]) ).
thf(f3550,plain,
( spl0_24
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f3546,f1084,f671]) ).
thf(f3551,plain,
( spl0_20
| ~ spl0_14
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f3549,f1084,f279,f475]) ).
thf(f4052,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_2
| ~ spl0_37 ),
inference(constrained_superposition,[],[f2848,f36]) ).
thf(f4059,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f4052]) ).
thf(f4091,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_2
| ~ spl0_14
| ~ spl0_37 ),
inference(constrained_superposition,[],[f2610,f4059]) ).
thf(f4103,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_2
| ~ spl0_14
| ~ spl0_37 ),
inference(duplicate_literal_removal,[],[f4091]) ).
thf(f4104,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_2
| ~ spl0_14
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f4103]) ).
thf(f4113,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_14
| ~ spl0_18
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f4104,f2022]) ).
thf(f4115,definition,
( spl0_108
<=> ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
thf(f4116,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z = X0 ) )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f4115]) ).
thf(f4123,plain,
( spl0_54
| spl0_108
| ~ spl0_2
| ~ spl0_14
| ~ spl0_18
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f4113,f1567,f336,f279,f48,f4115,f1880]) ).
thf(f5195,definition,
( spl0_116
<=> ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ X0 ) ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
thf(f5196,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f5195]) ).
thf(f5318,definition,
( spl0_133
<=> ! [X1: $i] :
( ( s @ ( s @ ( s @ X1 ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
thf(f5319,plain,
( ! [X1: $i] :
( ( s @ ( s @ ( s @ X1 ) ) )
= ( s @ z ) )
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f5318]) ).
thf(f7405,definition,
( spl0_201
<=> ! [X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( b @ z @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
thf(f7406,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( b @ z @ X1 )
= $true )
| ( z = X1 ) )
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f7405]) ).
thf(f7413,definition,
( spl0_202
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).
thf(f7414,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f7413]) ).
thf(f7424,definition,
( spl0_203
<=> ! [X2: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).
thf(f7425,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f7424]) ).
thf(f7461,definition,
( spl0_206
<=> ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_206])],[avatar_definition]) ).
thf(f7462,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f7461]) ).
thf(f7523,definition,
( spl0_212
<=> ! [X1: $i] :
( ( z = X1 )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_212])],[avatar_definition]) ).
thf(f7524,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ X1 ) ) )
| ( z = X1 ) )
| ~ spl0_212 ),
inference(avatar_component_clause,[],[f7523]) ).
thf(f8250,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_79 ),
inference(constrained_superposition,[],[f2462,f1090]) ).
thf(f8254,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f8250]) ).
thf(f8274,plain,
( spl0_38
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f8254,f2461,f1570]) ).
thf(f8323,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_37 ),
inference(avatar_component_clause,[],[f1567]) ).
thf(f8341,definition,
( spl0_222
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).
thf(f8342,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f8341]) ).
thf(f8348,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_81 ),
inference(forward_subsumption_resolution,[],[f2789,f32]) ).
thf(f8350,plain,
( spl0_37
| spl0_81 ),
inference(avatar_split_clause,[],[f8348,f2539,f1567]) ).
thf(f8355,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_11
| spl0_37 ),
inference(constrained_superposition,[],[f8323,f1044]) ).
thf(f8363,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( z
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_11
| spl0_37 ),
inference(trivial_inequality_removal,[],[f8355]) ).
thf(f8367,definition,
( spl0_224
<=> ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).
thf(f8368,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f8367]) ).
thf(f8371,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_8
| ~ spl0_11
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f8363,f32]) ).
thf(f8372,plain,
( spl0_224
| ~ spl0_8
| ~ spl0_11
| spl0_37 ),
inference(avatar_split_clause,[],[f8371,f1567,f205,f123,f8367]) ).
thf(f8395,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_81 ),
inference(constrained_superposition,[],[f823,f2540]) ).
thf(f8396,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_11
| ~ spl0_81 ),
inference(constrained_superposition,[],[f366,f2540]) ).
thf(f8398,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_8
| ~ spl0_11
| ~ spl0_81 ),
inference(constrained_superposition,[],[f1328,f2540]) ).
thf(f8403,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( $true
= ( b @ z @ X0 ) ) )
| ~ spl0_81 ),
inference(constrained_superposition,[],[f148,f2540]) ).
thf(f8406,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_81 ),
inference(constrained_superposition,[],[f26,f2540]) ).
thf(f8407,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f8395]) ).
thf(f8411,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ z ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_8
| ~ spl0_11
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f8398]) ).
thf(f8413,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_11
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f8396]) ).
thf(f8414,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ z @ X0 ) )
| ( z = X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f8403]) ).
thf(f8416,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f8406]) ).
thf(f8419,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f2376]) ).
thf(f8422,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( z
= ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_11
| spl0_37
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[],[f8411,f8323]) ).
thf(f8424,definition,
( spl0_228
<=> ! [X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
!= ( r @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_228])],[avatar_definition]) ).
thf(f8425,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
= $true ) )
| ~ spl0_228 ),
inference(avatar_component_clause,[],[f8424]) ).
thf(f8426,plain,
( spl0_26
| spl0_228
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f8414,f2539,f8424,f678]) ).
thf(f8428,plain,
( spl0_202
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f8416,f2539,f7413]) ).
thf(f8430,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_8
| ~ spl0_11
| spl0_37
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[],[f8422,f32]) ).
thf(f8431,plain,
( spl0_49
| ~ spl0_8
| ~ spl0_11
| spl0_37
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f8430,f2539,f1567,f205,f123,f1780]) ).
thf(f8432,plain,
( spl0_72
| ~ spl0_11
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f8407,f2539,f205,f2376]) ).
thf(f8436,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) )
| ~ spl0_72 ),
inference(constrained_superposition,[],[f54,f8419]) ).
thf(f8439,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_8
| ~ spl0_72 ),
inference(constrained_superposition,[],[f426,f8419]) ).
thf(f8440,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_8
| ~ spl0_11
| ~ spl0_72 ),
inference(constrained_superposition,[],[f633,f8419]) ).
thf(f8441,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_8
| ~ spl0_11
| ~ spl0_72 ),
inference(constrained_superposition,[],[f915,f8419]) ).
thf(f8443,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_8
| ~ spl0_11
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f8441]) ).
thf(f8445,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f8436]) ).
thf(f8447,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( b @ z @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_8
| ~ spl0_11
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f8440]) ).
thf(f8452,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_8
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f8439]) ).
thf(f8454,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_8
| ~ spl0_11
| ~ spl0_51
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[],[f8447,f1827]) ).
thf(f8456,plain,
( spl0_85
| ~ spl0_8
| ~ spl0_11
| ~ spl0_51
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f8454,f2376,f1826,f205,f123,f2560]) ).
thf(f8466,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_11
| ~ spl0_41 ),
inference(constrained_superposition,[],[f1585,f903]) ).
thf(f8479,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_11
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f8466]) ).
thf(f8489,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( b @ z @ ( s @ X0 ) ) ) )
| ~ spl0_11
| spl0_37
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f8479,f8323]) ).
thf(f9006,definition,
( spl0_234
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_234])],[avatar_definition]) ).
thf(f9007,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_234 ),
inference(avatar_component_clause,[],[f9006]) ).
thf(f9009,definition,
( spl0_235
<=> ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_235])],[avatar_definition]) ).
thf(f9010,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_235 ),
inference(avatar_component_clause,[],[f9009]) ).
thf(f9126,plain,
( spl0_80
| ~ spl0_8
| ~ spl0_11
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f8443,f2376,f205,f123,f2535]) ).
thf(f9127,plain,
( spl0_83
| ~ spl0_8
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f8452,f2376,f123,f2546]) ).
thf(f9131,plain,
( ( $true != $true )
| ~ spl0_54
| ~ spl0_81 ),
inference(constrained_superposition,[],[f1881,f2540]) ).
thf(f9134,plain,
( $false
| ~ spl0_54
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f9131]) ).
thf(f9135,plain,
( ~ spl0_54
| ~ spl0_81 ),
inference(avatar_contradiction_clause,[],[f9134]) ).
thf(f9579,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_37
| ~ spl0_55 ),
inference(constrained_superposition,[],[f8323,f1887]) ).
thf(f9586,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( b @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_8
| ~ spl0_11
| ~ spl0_55 ),
inference(constrained_superposition,[],[f651,f1887]) ).
thf(f9596,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) )
| ~ spl0_55 ),
inference(constrained_superposition,[],[f31,f1887]) ).
thf(f9612,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X3 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f9596]) ).
thf(f9623,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z
= ( s @ z ) )
| ( z = X0 ) )
| ~ spl0_8
| ~ spl0_11
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f9586]) ).
thf(f9625,plain,
( ( z
= ( s @ ( s @ z ) ) )
| spl0_37
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f9579]) ).
thf(f9649,definition,
( spl0_244
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).
thf(f9650,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_244 ),
inference(avatar_component_clause,[],[f9649]) ).
thf(f9651,plain,
( spl0_50
| spl0_244
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f9612,f1886,f9649,f1823]) ).
thf(f9655,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ z @ X0 ) ) )
| ~ spl0_8
| ~ spl0_11
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f9623,f32]) ).
thf(f9656,plain,
( $false
| spl0_37
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f9625,f32]) ).
thf(f9657,plain,
( spl0_37
| ~ spl0_55 ),
inference(avatar_contradiction_clause,[],[f9656]) ).
thf(f9673,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_8
| ~ spl0_11
| ~ spl0_55
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f9655,f2543]) ).
thf(f9683,definition,
( spl0_247
<=> ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_247])],[avatar_definition]) ).
thf(f9684,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_247 ),
inference(avatar_component_clause,[],[f9683]) ).
thf(f9685,plain,
( spl0_247
| spl0_43
| ~ spl0_8
| ~ spl0_11
| ~ spl0_55
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f9673,f2542,f1886,f205,f123,f1596,f9683]) ).
thf(f9741,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true != $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X3 @ z )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_224 ),
inference(constrained_superposition,[],[f31,f8368]) ).
thf(f9751,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( s @ z )
= X0 )
| ( ( b @ X3 @ z )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f9741]) ).
thf(f9756,definition,
( spl0_249
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).
thf(f9757,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_249 ),
inference(avatar_component_clause,[],[f9756]) ).
thf(f9758,plain,
( spl0_2
| spl0_249
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f9751,f8367,f9756,f48]) ).
thf(f10026,definition,
( spl0_255
<=> ! [X2: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_255])],[avatar_definition]) ).
thf(f10027,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_255 ),
inference(avatar_component_clause,[],[f10026]) ).
thf(f10245,definition,
( spl0_259
<=> ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_259])],[avatar_definition]) ).
thf(f10246,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_259 ),
inference(avatar_component_clause,[],[f10245]) ).
thf(f10266,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( b @ z @ X0 ) ) )
| ~ spl0_228 ),
inference(constrained_superposition,[],[f8425,f27]) ).
thf(f10268,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( b @ z @ X0 ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_228 ),
inference(trivial_inequality_removal,[],[f10266]) ).
thf(f10269,plain,
( spl0_201
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f10268,f8424,f7405]) ).
thf(f10273,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_11
| spl0_37
| ~ spl0_41 ),
inference(constrained_superposition,[],[f8489,f37]) ).
thf(f10275,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_11
| spl0_37
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f10273]) ).
thf(f10282,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_10
| ~ spl0_11
| spl0_37
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f10275,f203]) ).
thf(f10284,plain,
( spl0_222
| ~ spl0_10
| ~ spl0_11
| spl0_37
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f10282,f1584,f1567,f205,f202,f8341]) ).
thf(f10294,definition,
( spl0_262
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_262])],[avatar_definition]) ).
thf(f10295,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_262 ),
inference(avatar_component_clause,[],[f10294]) ).
thf(f10393,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_35
| ~ spl0_50 ),
inference(constrained_superposition,[],[f1824,f1608]) ).
thf(f10421,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_35
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f10393]) ).
thf(f10423,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f1877]) ).
thf(f10430,plain,
( spl0_67
| ~ spl0_35
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f10421,f1823,f1558,f2248]) ).
thf(f10442,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f26,f10423]) ).
thf(f10445,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f10442]) ).
thf(f10453,definition,
( spl0_266
<=> ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( z = X1 )
| ( ( b @ z @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).
thf(f10454,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( z = X1 )
| ( ( b @ z @ X1 )
= $true ) )
| ~ spl0_266 ),
inference(avatar_component_clause,[],[f10453]) ).
thf(f10502,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( b @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_266 ),
inference(constrained_superposition,[],[f10454,f27]) ).
thf(f10504,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( b @ z @ X0 ) ) )
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f10502]) ).
thf(f10509,plain,
( spl0_201
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f10504,f10453,f7405]) ).
thf(f10529,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( ( s @ X0 )
= z )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_11
| ~ spl0_262 ),
inference(constrained_superposition,[],[f10295,f373]) ).
thf(f10538,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ X0 )
= z )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_11
| ~ spl0_262 ),
inference(duplicate_literal_removal,[],[f10529]) ).
thf(f10539,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= z )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_11
| ~ spl0_262 ),
inference(trivial_inequality_removal,[],[f10538]) ).
thf(f10544,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_11
| ~ spl0_262 ),
inference(forward_subsumption_resolution,[],[f10539,f32]) ).
thf(f10545,plain,
( spl0_259
| ~ spl0_11
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f10544,f10294,f205,f10245]) ).
thf(f10926,definition,
( spl0_269
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).
thf(f10927,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_269 ),
inference(avatar_component_clause,[],[f10926]) ).
thf(f10943,definition,
( spl0_271
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_271])],[avatar_definition]) ).
thf(f10944,plain,
( ! [X2: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_271 ),
inference(avatar_component_clause,[],[f10943]) ).
thf(f10963,definition,
( spl0_273
<=> ! [X1: $i] :
( ( ( b @ z @ X1 )
= $true )
| ( z = X1 )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( s @ z )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_273])],[avatar_definition]) ).
thf(f10964,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( z = X1 )
| ( ( b @ z @ X1 )
= $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_273 ),
inference(avatar_component_clause,[],[f10963]) ).
thf(f10967,definition,
( spl0_274
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_274])],[avatar_definition]) ).
thf(f10968,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_274 ),
inference(avatar_component_clause,[],[f10967]) ).
thf(f10974,definition,
( spl0_275
<=> ! [X2: $i,X0: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).
thf(f10975,plain,
( ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl0_275 ),
inference(avatar_component_clause,[],[f10974]) ).
thf(f10977,definition,
( spl0_276
<=> ! [X3: $i] :
( ( $true
!= ( b @ z @ X3 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X3 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_276])],[avatar_definition]) ).
thf(f10978,plain,
( ! [X3: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X3 )
!= $true )
| ( $true
!= ( b @ z @ X3 ) ) )
| ~ spl0_276 ),
inference(avatar_component_clause,[],[f10977]) ).
thf(f11045,definition,
( spl0_278
<=> ! [X1: $i] :
( $true
!= ( r @ z @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_278])],[avatar_definition]) ).
thf(f11046,plain,
( ! [X1: $i] :
( $true
!= ( r @ z @ X1 ) )
| ~ spl0_278 ),
inference(avatar_component_clause,[],[f11045]) ).
thf(f11048,plain,
( ( $true != $true )
| ~ spl0_11
| ~ spl0_278 ),
inference(constrained_superposition,[],[f11046,f302]) ).
thf(f11049,plain,
( ( $true != $true )
| ~ spl0_53
| ~ spl0_278 ),
inference(constrained_superposition,[],[f11046,f10423]) ).
thf(f11050,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ X0 ) )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_278 ),
inference(constrained_superposition,[],[f11046,f27]) ).
thf(f11051,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( b @ z @ X0 ) ) )
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f11050]) ).
thf(f11052,plain,
( $false
| ~ spl0_11
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f11048]) ).
thf(f11053,plain,
( ~ spl0_11
| ~ spl0_278 ),
inference(avatar_contradiction_clause,[],[f11052]) ).
thf(f11054,plain,
( $false
| ~ spl0_53
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f11049]) ).
thf(f11055,plain,
( ~ spl0_53
| ~ spl0_278 ),
inference(avatar_contradiction_clause,[],[f11054]) ).
thf(f11056,plain,
( spl0_26
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f11051,f11045,f678]) ).
thf(f11071,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f203,f27]) ).
thf(f11072,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f11071]) ).
thf(f11073,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f49,f36]) ).
thf(f11078,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_259 ),
inference(constrained_superposition,[],[f49,f10246]) ).
thf(f11082,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_2
| spl0_15 ),
inference(constrained_superposition,[],[f49,f746]) ).
thf(f11086,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f11073]) ).
thf(f11089,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_2
| spl0_15 ),
inference(trivial_inequality_removal,[],[f11082]) ).
thf(f11093,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_2
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f11078]) ).
thf(f11100,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_2
| spl0_15 ),
inference(constrained_superposition,[],[f11089,f37]) ).
thf(f11105,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_2
| spl0_15 ),
inference(trivial_inequality_removal,[],[f11100]) ).
thf(f11569,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_234 ),
inference(avatar_component_clause,[],[f9006]) ).
thf(f11573,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f2309]) ).
thf(f11707,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_68 ),
inference(constrained_superposition,[],[f2310,f64]) ).
thf(f11712,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_68 ),
inference(trivial_inequality_removal,[],[f11707]) ).
thf(f11717,plain,
( spl0_234
| spl0_68 ),
inference(avatar_split_clause,[],[f11712,f2309,f9006]) ).
thf(f11723,plain,
( ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_10
| ~ spl0_234 ),
inference(constrained_superposition,[],[f203,f9007]) ).
thf(f11725,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_53
| ~ spl0_234 ),
inference(constrained_superposition,[],[f10445,f9007]) ).
thf(f11726,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_234 ),
inference(constrained_superposition,[],[f141,f9007]) ).
thf(f11729,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_234 ),
inference(constrained_superposition,[],[f41,f9007]) ).
thf(f11730,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_234 ),
inference(constrained_superposition,[],[f26,f9007]) ).
thf(f11731,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_234 ),
inference(trivial_inequality_removal,[],[f11726]) ).
thf(f11732,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( X0 = X1 ) )
| ~ spl0_234 ),
inference(trivial_inequality_removal,[],[f11729]) ).
thf(f11734,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_10
| ~ spl0_234 ),
inference(trivial_inequality_removal,[],[f11723]) ).
thf(f11736,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_234 ),
inference(trivial_inequality_removal,[],[f11730]) ).
thf(f11737,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_53
| ~ spl0_234 ),
inference(trivial_inequality_removal,[],[f11725]) ).
thf(f11739,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| spl0_35
| ~ spl0_234 ),
inference(forward_subsumption_resolution,[],[f11731,f1559]) ).
thf(f11740,plain,
( spl0_21
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f11732,f9006,f478]) ).
thf(f11742,plain,
( $false
| ~ spl0_10
| spl0_35
| ~ spl0_234 ),
inference(forward_subsumption_resolution,[],[f11734,f1559]) ).
thf(f11743,plain,
( ~ spl0_10
| spl0_35
| ~ spl0_234 ),
inference(avatar_contradiction_clause,[],[f11742]) ).
thf(f11744,plain,
( spl0_255
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f11736,f9006,f10026]) ).
thf(f11745,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ~ spl0_11
| ~ spl0_53
| ~ spl0_234 ),
inference(forward_subsumption_resolution,[],[f11737,f302]) ).
thf(f11747,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ~ spl0_11
| spl0_35
| ~ spl0_234 ),
inference(forward_subsumption_resolution,[],[f11739,f302]) ).
thf(f11748,plain,
( spl0_31
| ~ spl0_11
| ~ spl0_53
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f11745,f9006,f1877,f205,f1084]) ).
thf(f11749,plain,
( spl0_31
| ~ spl0_11
| spl0_35
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f11747,f9006,f1558,f205,f1084]) ).
thf(f12251,plain,
( spl0_273
| ~ spl0_8
| ~ spl0_11
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f8447,f2376,f205,f123,f10963]) ).
thf(f12252,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_273 ),
inference(constrained_superposition,[],[f10964,f61]) ).
thf(f12258,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_273 ),
inference(trivial_inequality_removal,[],[f12252]) ).
thf(f12351,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f26,f82]) ).
thf(f12362,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f12351]) ).
thf(f12381,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f26,f280]) ).
thf(f12389,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f12381]) ).
thf(f15138,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_43 ),
inference(avatar_component_clause,[],[f1596]) ).
thf(f17967,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f276,f64]) ).
thf(f17982,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f17967]) ).
thf(f17988,plain,
( spl0_16
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f17982,f275,f286]) ).
thf(f18186,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_266
| ~ spl0_273 ),
inference(forward_subsumption_resolution,[],[f12258,f10454]) ).
thf(f18187,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_266
| ~ spl0_273 ),
inference(forward_subsumption_resolution,[],[f18186,f32]) ).
thf(f18188,plain,
( spl0_116
| ~ spl0_266
| ~ spl0_273 ),
inference(avatar_split_clause,[],[f18187,f10963,f10453,f5195]) ).
thf(f18230,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( b @ z @ X0 ) )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_7
| ~ spl0_201 ),
inference(constrained_superposition,[],[f121,f7406]) ).
thf(f18267,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( b @ z @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_7
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f18230]) ).
thf(f18607,definition,
( spl0_348
<=> ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_348])],[avatar_definition]) ).
thf(f18608,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_348 ),
inference(avatar_component_clause,[],[f18607]) ).
thf(f19015,definition,
( spl0_366
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_366])],[avatar_definition]) ).
thf(f19016,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_366 ),
inference(avatar_component_clause,[],[f19015]) ).
thf(f19414,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) ) )
| ~ spl0_247 ),
inference(constrained_superposition,[],[f1090,f9684]) ).
thf(f19435,plain,
( ( ( s @ z )
!= ( s @ ( s @ z ) ) )
| spl0_45 ),
inference(avatar_component_clause,[],[f1613]) ).
thf(f19440,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[],[f19414,f30]) ).
thf(f19476,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) ) )
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[],[f19440,f28]) ).
thf(f19504,plain,
( ! [X0: $i] :
( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) )
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[],[f19476,f32]) ).
thf(f19522,plain,
( spl0_133
| ~ spl0_247 ),
inference(avatar_split_clause,[],[f19504,f9683,f5318]) ).
thf(f19534,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| spl0_45 ),
inference(extensionality_resolution,[],[f903,f19435]) ).
thf(f19543,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| spl0_45 ),
inference(extensionality_resolution,[],[f41,f19435]) ).
thf(f19544,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl0_45 ),
inference(extensionality_resolution,[],[f41,f19435]) ).
thf(f19552,definition,
( spl0_368
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_368])],[avatar_definition]) ).
thf(f19553,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_368 ),
inference(avatar_component_clause,[],[f19552]) ).
thf(f19555,definition,
( spl0_369
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_369])],[avatar_definition]) ).
thf(f19556,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_369 ),
inference(avatar_component_clause,[],[f19555]) ).
thf(f19558,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| spl0_37
| spl0_45 ),
inference(forward_subsumption_resolution,[],[f19534,f8323]) ).
thf(f19562,definition,
( spl0_370
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_370])],[avatar_definition]) ).
thf(f19563,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_370 ),
inference(avatar_component_clause,[],[f19562]) ).
thf(f19565,definition,
( spl0_371
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_371])],[avatar_definition]) ).
thf(f19566,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_371 ),
inference(avatar_component_clause,[],[f19565]) ).
thf(f19570,definition,
( spl0_372
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_372])],[avatar_definition]) ).
thf(f19571,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_372 ),
inference(avatar_component_clause,[],[f19570]) ).
thf(f19573,definition,
( spl0_373
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_373])],[avatar_definition]) ).
thf(f19574,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_373 ),
inference(avatar_component_clause,[],[f19573]) ).
thf(f19577,definition,
( spl0_374
<=> ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_374])],[avatar_definition]) ).
thf(f19578,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_374 ),
inference(avatar_component_clause,[],[f19577]) ).
thf(f19581,definition,
( spl0_375
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_375])],[avatar_definition]) ).
thf(f19582,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_375 ),
inference(avatar_component_clause,[],[f19581]) ).
thf(f19584,definition,
( spl0_376
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_376])],[avatar_definition]) ).
thf(f19585,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_376 ),
inference(avatar_component_clause,[],[f19584]) ).
thf(f19588,definition,
( spl0_377
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_377])],[avatar_definition]) ).
thf(f19589,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_377 ),
inference(avatar_component_clause,[],[f19588]) ).
thf(f19590,plain,
( spl0_377
| spl0_368
| ~ spl0_11
| spl0_37
| spl0_45 ),
inference(avatar_split_clause,[],[f19558,f1613,f1567,f205,f19552,f19588]) ).
thf(f19594,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_83
| ~ spl0_368 ),
inference(constrained_superposition,[],[f2547,f19553]) ).
thf(f19595,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_80
| ~ spl0_368 ),
inference(constrained_superposition,[],[f2536,f19553]) ).
thf(f19596,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_41
| ~ spl0_368 ),
inference(constrained_superposition,[],[f1585,f19553]) ).
thf(f19606,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_73
| ~ spl0_368 ),
inference(constrained_superposition,[],[f2392,f19553]) ).
thf(f19615,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_80
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f19595]) ).
thf(f19616,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_83
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f19594]) ).
thf(f19624,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_73
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f19606]) ).
thf(f19627,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_41
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f19596]) ).
thf(f19631,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_80
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f19615,f32]) ).
thf(f19632,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_83
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f19616,f32]) ).
thf(f19635,definition,
( spl0_378
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_378])],[avatar_definition]) ).
thf(f19636,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_378 ),
inference(avatar_component_clause,[],[f19635]) ).
thf(f19639,definition,
( spl0_379
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_379])],[avatar_definition]) ).
thf(f19640,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_379 ),
inference(avatar_component_clause,[],[f19639]) ).
thf(f19643,definition,
( spl0_380
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_380])],[avatar_definition]) ).
thf(f19644,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_380 ),
inference(avatar_component_clause,[],[f19643]) ).
thf(f19646,definition,
( spl0_381
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_381])],[avatar_definition]) ).
thf(f19647,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_381 ),
inference(avatar_component_clause,[],[f19646]) ).
thf(f19650,definition,
( spl0_382
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_382])],[avatar_definition]) ).
thf(f19651,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_382 ),
inference(avatar_component_clause,[],[f19650]) ).
thf(f19652,plain,
( spl0_379
| spl0_382
| ~ spl0_73
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f19624,f19552,f2391,f19650,f19639]) ).
thf(f19657,definition,
( spl0_383
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_383])],[avatar_definition]) ).
thf(f19658,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_383 ),
inference(avatar_component_clause,[],[f19657]) ).
thf(f19660,plain,
( spl0_274
| ~ spl0_80
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f19631,f19552,f2535,f10967]) ).
thf(f19661,plain,
( spl0_381
| ~ spl0_83
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f19632,f19552,f2546,f19646]) ).
thf(f19672,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_383 ),
inference(constrained_superposition,[],[f63,f19658]) ).
thf(f19805,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_383 ),
inference(forward_subsumption_resolution,[],[f19672,f30]) ).
thf(f19855,plain,
( $false
| ~ spl0_383 ),
inference(forward_subsumption_resolution,[],[f19805,f28]) ).
thf(f19856,plain,
~ spl0_383,
inference(avatar_contradiction_clause,[],[f19855]) ).
thf(f19962,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_10
| ~ spl0_41
| ~ spl0_368 ),
inference(constrained_superposition,[],[f19627,f11072]) ).
thf(f19973,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_10
| ~ spl0_41
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f19962]) ).
thf(f19985,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_11
| ~ spl0_381 ),
inference(constrained_superposition,[],[f311,f19647]) ).
thf(f20003,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_11
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f19985]) ).
thf(f20010,definition,
( spl0_387
<=> ! [X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_387])],[avatar_definition]) ).
thf(f20011,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 ) )
| ~ spl0_387 ),
inference(avatar_component_clause,[],[f20010]) ).
thf(f20017,definition,
( spl0_389
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_389])],[avatar_definition]) ).
thf(f20018,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_389 ),
inference(avatar_component_clause,[],[f20017]) ).
thf(f20019,plain,
( ~ spl0_374
| spl0_389
| ~ spl0_11
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f20003,f19646,f205,f20017,f19577]) ).
thf(f20021,plain,
( ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_374 ),
inference(constrained_superposition,[],[f19578,f27]) ).
thf(f20022,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_374 ),
inference(trivial_inequality_removal,[],[f20021]) ).
thf(f20052,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_374 ),
inference(forward_subsumption_resolution,[],[f20022,f32]) ).
thf(f20053,plain,
( spl0_383
| spl0_377
| ~ spl0_10
| ~ spl0_41
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f19973,f19552,f1584,f202,f19588,f19657]) ).
thf(f20057,plain,
( spl0_377
| spl0_374 ),
inference(avatar_split_clause,[],[f20052,f19577,f19588]) ).
thf(f20060,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_16
| ~ spl0_377 ),
inference(constrained_superposition,[],[f287,f19589]) ).
thf(f20073,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_16
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f20060]) ).
thf(f20087,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( X0 = X1 ) )
| ~ spl0_16
| ~ spl0_377 ),
inference(constrained_superposition,[],[f41,f20073]) ).
thf(f20088,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_16
| ~ spl0_377 ),
inference(constrained_superposition,[],[f26,f20073]) ).
thf(f20089,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_16
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f20088]) ).
thf(f20099,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_16
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f20087]) ).
thf(f20151,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_382 ),
inference(constrained_superposition,[],[f26,f19651]) ).
thf(f20155,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_382 ),
inference(trivial_inequality_removal,[],[f20151]) ).
thf(f20170,plain,
( spl0_271
| ~ spl0_382 ),
inference(avatar_split_clause,[],[f20155,f19650,f10943]) ).
thf(f20275,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_249
| ~ spl0_371 ),
inference(constrained_superposition,[],[f9757,f19566]) ).
thf(f20276,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_371 ),
inference(constrained_superposition,[],[f11086,f19566]) ).
thf(f20277,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_2
| ~ spl0_259
| ~ spl0_371 ),
inference(constrained_superposition,[],[f11093,f19566]) ).
thf(f20286,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_249
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f20275]) ).
thf(f20288,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_2
| ~ spl0_259
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f20277]) ).
thf(f20300,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f20276]) ).
thf(f20303,definition,
( spl0_393
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_393])],[avatar_definition]) ).
thf(f20304,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_393 ),
inference(avatar_component_clause,[],[f20303]) ).
thf(f20306,definition,
( spl0_394
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_394])],[avatar_definition]) ).
thf(f20307,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_394 ),
inference(avatar_component_clause,[],[f20306]) ).
thf(f20309,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_249
| ~ spl0_371
| ~ spl0_377 ),
inference(forward_subsumption_resolution,[],[f20286,f19589]) ).
thf(f20311,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_2
| ~ spl0_259
| ~ spl0_274
| ~ spl0_371 ),
inference(forward_subsumption_resolution,[],[f20288,f10968]) ).
thf(f20320,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_274
| ~ spl0_371 ),
inference(forward_subsumption_resolution,[],[f20300,f10968]) ).
thf(f20322,definition,
( spl0_395
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_395])],[avatar_definition]) ).
thf(f20323,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_395 ),
inference(avatar_component_clause,[],[f20322]) ).
thf(f20324,plain,
( spl0_383
| spl0_395
| ~ spl0_249
| ~ spl0_371
| ~ spl0_377 ),
inference(avatar_split_clause,[],[f20309,f19588,f19565,f9756,f20322,f19657]) ).
thf(f20326,plain,
( spl0_395
| spl0_383
| ~ spl0_2
| ~ spl0_259
| ~ spl0_274
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f20311,f19565,f10967,f10245,f48,f19657,f20322]) ).
thf(f20329,definition,
( spl0_396
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_396])],[avatar_definition]) ).
thf(f20330,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_396 ),
inference(avatar_component_clause,[],[f20329]) ).
thf(f20334,definition,
( spl0_397
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_397])],[avatar_definition]) ).
thf(f20335,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_397 ),
inference(avatar_component_clause,[],[f20334]) ).
thf(f20337,plain,
( spl0_396
| ~ spl0_2
| ~ spl0_274
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f20320,f19565,f10967,f48,f20329]) ).
thf(f20348,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_395 ),
inference(constrained_superposition,[],[f63,f20323]) ).
thf(f20480,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_395 ),
inference(forward_subsumption_resolution,[],[f20348,f28]) ).
thf(f20530,plain,
( $false
| ~ spl0_395 ),
inference(forward_subsumption_resolution,[],[f20480,f30]) ).
thf(f20531,plain,
~ spl0_395,
inference(avatar_contradiction_clause,[],[f20530]) ).
thf(f20559,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_396 ),
inference(constrained_superposition,[],[f823,f20330]) ).
thf(f20582,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_11
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f20559]) ).
thf(f20586,definition,
( spl0_398
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_398])],[avatar_definition]) ).
thf(f20587,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_398 ),
inference(avatar_component_clause,[],[f20586]) ).
thf(f20594,definition,
( spl0_400
<=> ! [X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_400])],[avatar_definition]) ).
thf(f20595,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X1 ) )
| ~ spl0_400 ),
inference(avatar_component_clause,[],[f20594]) ).
thf(f20601,plain,
( spl0_398
| ~ spl0_11
| ~ spl0_396 ),
inference(avatar_split_clause,[],[f20582,f20329,f205,f20586]) ).
thf(f20603,definition,
( spl0_402
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_402])],[avatar_definition]) ).
thf(f20604,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_402 ),
inference(avatar_component_clause,[],[f20603]) ).
thf(f20606,definition,
( spl0_403
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_403])],[avatar_definition]) ).
thf(f20607,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_403 ),
inference(avatar_component_clause,[],[f20606]) ).
thf(f20611,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_402 ),
inference(constrained_superposition,[],[f1090,f20604]) ).
thf(f20739,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_402 ),
inference(forward_subsumption_resolution,[],[f20611,f28]) ).
thf(f20762,plain,
( $false
| ~ spl0_402 ),
inference(forward_subsumption_resolution,[],[f20739,f30]) ).
thf(f20763,plain,
~ spl0_402,
inference(avatar_contradiction_clause,[],[f20762]) ).
thf(f20773,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_38
| ~ spl0_398 ),
inference(constrained_superposition,[],[f1571,f20587]) ).
thf(f20803,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_38
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f20773]) ).
thf(f20810,definition,
( spl0_404
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_404])],[avatar_definition]) ).
thf(f20811,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_404 ),
inference(avatar_component_clause,[],[f20810]) ).
thf(f20816,plain,
( spl0_397
| ~ spl0_38
| ~ spl0_398 ),
inference(avatar_split_clause,[],[f20803,f20586,f1570,f20334]) ).
thf(f20854,definition,
( spl0_405
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_405])],[avatar_definition]) ).
thf(f20855,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_405 ),
inference(avatar_component_clause,[],[f20854]) ).
thf(f20858,definition,
( spl0_406
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_406])],[avatar_definition]) ).
thf(f20859,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_406 ),
inference(avatar_component_clause,[],[f20858]) ).
thf(f20861,definition,
( spl0_407
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_407])],[avatar_definition]) ).
thf(f20862,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_407 ),
inference(avatar_component_clause,[],[f20861]) ).
thf(f20873,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_376 ),
inference(avatar_component_clause,[],[f19584]) ).
thf(f20880,plain,
( ( $true != $true )
| ~ spl0_381
| ~ spl0_389 ),
inference(constrained_superposition,[],[f20018,f19647]) ).
thf(f20882,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_389 ),
inference(constrained_superposition,[],[f20018,f82]) ).
thf(f20884,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( $true != $true ) )
| ~ spl0_389 ),
inference(constrained_superposition,[],[f20018,f27]) ).
thf(f20885,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_389 ),
inference(trivial_inequality_removal,[],[f20884]) ).
thf(f20888,plain,
( $false
| ~ spl0_381
| ~ spl0_389 ),
inference(trivial_inequality_removal,[],[f20880]) ).
thf(f20889,plain,
( ~ spl0_381
| ~ spl0_389 ),
inference(avatar_contradiction_clause,[],[f20888]) ).
thf(f20890,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_389 ),
inference(trivial_inequality_removal,[],[f20882]) ).
thf(f20891,plain,
( spl0_387
| ~ spl0_389 ),
inference(avatar_split_clause,[],[f20885,f20017,f20010]) ).
thf(f20894,plain,
( $false
| ~ spl0_4
| ~ spl0_389 ),
inference(forward_subsumption_resolution,[],[f20890,f20018]) ).
thf(f20895,plain,
( ~ spl0_4
| ~ spl0_389 ),
inference(avatar_contradiction_clause,[],[f20894]) ).
thf(f20898,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_381 ),
inference(avatar_component_clause,[],[f19646]) ).
thf(f20907,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_376 ),
inference(constrained_superposition,[],[f19585,f27]) ).
thf(f20908,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_376 ),
inference(trivial_inequality_removal,[],[f20907]) ).
thf(f20909,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_376 ),
inference(forward_subsumption_resolution,[],[f20908,f32]) ).
thf(f20910,plain,
( spl0_274
| spl0_376 ),
inference(avatar_split_clause,[],[f20909,f19584,f10967]) ).
thf(f20938,definition,
( spl0_411
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_411])],[avatar_definition]) ).
thf(f20939,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_411 ),
inference(avatar_component_clause,[],[f20938]) ).
thf(f20946,definition,
( spl0_413
<=> ! [X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_413])],[avatar_definition]) ).
thf(f20947,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
= $true ) )
| ~ spl0_413 ),
inference(avatar_component_clause,[],[f20946]) ).
thf(f20997,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_18
| ~ spl0_405 ),
inference(constrained_superposition,[],[f337,f20855]) ).
thf(f21022,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_18
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f20997]) ).
thf(f21036,definition,
( spl0_414
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_414])],[avatar_definition]) ).
thf(f21037,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_414 ),
inference(avatar_component_clause,[],[f21036]) ).
thf(f21040,definition,
( spl0_415
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_415])],[avatar_definition]) ).
thf(f21041,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_415 ),
inference(avatar_component_clause,[],[f21040]) ).
thf(f21622,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_16
| ~ spl0_415 ),
inference(constrained_superposition,[],[f287,f21041]) ).
thf(f21630,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_16
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f21622]) ).
thf(f21640,definition,
( spl0_435
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_435])],[avatar_definition]) ).
thf(f21641,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_435 ),
inference(avatar_component_clause,[],[f21640]) ).
thf(f21644,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| spl0_381 ),
inference(constrained_superposition,[],[f20898,f82]) ).
thf(f21646,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_381 ),
inference(constrained_superposition,[],[f20898,f27]) ).
thf(f21647,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_381 ),
inference(trivial_inequality_removal,[],[f21646]) ).
thf(f21648,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| spl0_381 ),
inference(trivial_inequality_removal,[],[f21644]) ).
thf(f21651,plain,
( spl0_411
| spl0_383
| spl0_381 ),
inference(avatar_split_clause,[],[f21647,f19646,f19657,f20938]) ).
thf(f21652,plain,
( $false
| ~ spl0_4
| spl0_376
| spl0_381 ),
inference(forward_subsumption_resolution,[],[f21648,f19585]) ).
thf(f21653,plain,
( ~ spl0_4
| spl0_376
| spl0_381 ),
inference(avatar_contradiction_clause,[],[f21652]) ).
thf(f21711,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_38
| ~ spl0_411 ),
inference(constrained_superposition,[],[f1571,f20939]) ).
thf(f21727,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_38
| ~ spl0_411 ),
inference(trivial_inequality_removal,[],[f21711]) ).
thf(f21738,plain,
( spl0_382
| ~ spl0_38
| ~ spl0_411 ),
inference(avatar_split_clause,[],[f21727,f20938,f1570,f19650]) ).
thf(f21762,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_269 ),
inference(constrained_superposition,[],[f1090,f10927]) ).
thf(f21883,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_269 ),
inference(forward_subsumption_resolution,[],[f21762,f30]) ).
thf(f21904,plain,
( $false
| ~ spl0_269 ),
inference(forward_subsumption_resolution,[],[f21883,f28]) ).
thf(f21905,plain,
~ spl0_269,
inference(avatar_contradiction_clause,[],[f21904]) ).
thf(f21938,definition,
( spl0_436
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_436])],[avatar_definition]) ).
thf(f21939,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_436 ),
inference(avatar_component_clause,[],[f21938]) ).
thf(f21947,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_406 ),
inference(constrained_superposition,[],[f20859,f82]) ).
thf(f21948,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
= $true ) )
| ~ spl0_406 ),
inference(constrained_superposition,[],[f20859,f27]) ).
thf(f21949,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_406 ),
inference(trivial_inequality_removal,[],[f21948]) ).
thf(f21950,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_406 ),
inference(trivial_inequality_removal,[],[f21947]) ).
thf(f21951,plain,
( spl0_400
| ~ spl0_406 ),
inference(avatar_split_clause,[],[f21949,f20858,f20594]) ).
thf(f21952,plain,
( $false
| ~ spl0_4
| ~ spl0_406 ),
inference(forward_subsumption_resolution,[],[f21950,f20859]) ).
thf(f21953,plain,
( ~ spl0_4
| ~ spl0_406 ),
inference(avatar_contradiction_clause,[],[f21952]) ).
thf(f21962,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_18
| ~ spl0_405 ),
inference(constrained_superposition,[],[f41,f21022]) ).
thf(f21964,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_18
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f21962]) ).
thf(f21982,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_4
| ~ spl0_370 ),
inference(constrained_superposition,[],[f12362,f19563]) ).
thf(f21985,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_14
| ~ spl0_370 ),
inference(constrained_superposition,[],[f12389,f19563]) ).
thf(f21996,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_4
| ~ spl0_370 ),
inference(trivial_inequality_removal,[],[f21982]) ).
thf(f22001,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_14
| ~ spl0_370 ),
inference(trivial_inequality_removal,[],[f21985]) ).
thf(f22004,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_276
| ~ spl0_372 ),
inference(constrained_superposition,[],[f10978,f19571]) ).
thf(f22023,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_276
| ~ spl0_372 ),
inference(trivial_inequality_removal,[],[f22004]) ).
thf(f22031,definition,
( spl0_440
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_440])],[avatar_definition]) ).
thf(f22032,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_440 ),
inference(avatar_component_clause,[],[f22031]) ).
thf(f22034,plain,
( $false
| ~ spl0_276
| ~ spl0_372
| ~ spl0_415 ),
inference(forward_subsumption_resolution,[],[f22023,f21041]) ).
thf(f22035,plain,
( ~ spl0_276
| ~ spl0_372
| ~ spl0_415 ),
inference(avatar_contradiction_clause,[],[f22034]) ).
thf(f22063,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| spl0_396 ),
inference(avatar_component_clause,[],[f20329]) ).
thf(f22091,definition,
( spl0_442
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_442])],[avatar_definition]) ).
thf(f22092,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_442 ),
inference(avatar_component_clause,[],[f22091]) ).
thf(f22120,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_380 ),
inference(constrained_superposition,[],[f19644,f1090]) ).
thf(f22135,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_66
| ~ spl0_380 ),
inference(constrained_superposition,[],[f19644,f2246]) ).
thf(f22141,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_380 ),
inference(trivial_inequality_removal,[],[f22120]) ).
thf(f22152,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_66
| ~ spl0_380 ),
inference(trivial_inequality_removal,[],[f22135]) ).
thf(f22156,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_68
| ~ spl0_380 ),
inference(forward_subsumption_resolution,[],[f22141,f11573]) ).
thf(f22159,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_66
| ~ spl0_68
| ~ spl0_380 ),
inference(forward_subsumption_resolution,[],[f22152,f11573]) ).
thf(f22163,plain,
( spl0_382
| ~ spl0_68
| ~ spl0_380 ),
inference(avatar_split_clause,[],[f22156,f19643,f2309,f19650]) ).
thf(f22169,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_66
| ~ spl0_68
| ~ spl0_380 ),
inference(forward_subsumption_resolution,[],[f22159,f32]) ).
thf(f22171,plain,
( spl0_274
| spl0_269
| ~ spl0_66
| ~ spl0_68
| ~ spl0_380 ),
inference(avatar_split_clause,[],[f22169,f19643,f2309,f2245,f10926,f10967]) ).
thf(f22181,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_274 ),
inference(constrained_superposition,[],[f49,f10968]) ).
thf(f22190,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f22181]) ).
thf(f22243,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_274
| ~ spl0_372 ),
inference(constrained_superposition,[],[f22190,f19571]) ).
thf(f22244,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_274
| ~ spl0_411 ),
inference(constrained_superposition,[],[f22190,f20939]) ).
thf(f22247,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_274 ),
inference(constrained_superposition,[],[f22190,f63]) ).
thf(f22270,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_274
| ~ spl0_372 ),
inference(trivial_inequality_removal,[],[f22243]) ).
thf(f22274,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_274
| ~ spl0_411 ),
inference(trivial_inequality_removal,[],[f22244]) ).
thf(f22278,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f22247]) ).
thf(f22279,plain,
( $false
| ~ spl0_2
| ~ spl0_274
| ~ spl0_372
| ~ spl0_405 ),
inference(forward_subsumption_resolution,[],[f22270,f20855]) ).
thf(f22280,plain,
( ~ spl0_2
| ~ spl0_274
| ~ spl0_372
| ~ spl0_405 ),
inference(avatar_contradiction_clause,[],[f22279]) ).
thf(f22281,plain,
( $false
| ~ spl0_2
| spl0_15
| ~ spl0_274
| ~ spl0_411 ),
inference(forward_subsumption_resolution,[],[f22274,f746]) ).
thf(f22282,plain,
( ~ spl0_2
| spl0_15
| ~ spl0_274
| ~ spl0_411 ),
inference(avatar_contradiction_clause,[],[f22281]) ).
thf(f22283,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_2
| spl0_15
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f22278,f746]) ).
thf(f22284,plain,
( $false
| ~ spl0_2
| spl0_15
| ~ spl0_274
| spl0_381 ),
inference(forward_subsumption_resolution,[],[f22283,f20898]) ).
thf(f22285,plain,
( ~ spl0_2
| spl0_15
| ~ spl0_274
| spl0_381 ),
inference(avatar_contradiction_clause,[],[f22284]) ).
thf(f22320,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_442 ),
inference(constrained_superposition,[],[f22092,f27]) ).
thf(f22321,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_442 ),
inference(trivial_inequality_removal,[],[f22320]) ).
thf(f22394,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_372
| ~ spl0_378 ),
inference(constrained_superposition,[],[f19636,f19571]) ).
thf(f22407,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_11
| ~ spl0_378 ),
inference(constrained_superposition,[],[f19636,f373]) ).
thf(f22411,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_378 ),
inference(trivial_inequality_removal,[],[f22407]) ).
thf(f22414,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_372
| ~ spl0_378 ),
inference(trivial_inequality_removal,[],[f22394]) ).
thf(f22428,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_11
| ~ spl0_378 ),
inference(forward_subsumption_resolution,[],[f22411,f32]) ).
thf(f22430,plain,
( ~ spl0_440
| ~ spl0_372
| ~ spl0_378 ),
inference(avatar_split_clause,[],[f22414,f19635,f19570,f22031]) ).
thf(f22439,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_11
| ~ spl0_72
| ~ spl0_378 ),
inference(forward_subsumption_resolution,[],[f22428,f8419]) ).
thf(f22444,plain,
( spl0_274
| spl0_383
| ~ spl0_11
| ~ spl0_72
| ~ spl0_378 ),
inference(avatar_split_clause,[],[f22439,f19635,f2376,f205,f19657,f10967]) ).
thf(f22445,plain,
( spl0_21
| ~ spl0_16
| ~ spl0_377 ),
inference(avatar_split_clause,[],[f20099,f19588,f286,f478]) ).
thf(f22448,plain,
( spl0_21
| ~ spl0_18
| ~ spl0_405 ),
inference(avatar_split_clause,[],[f21964,f20854,f336,f478]) ).
thf(f22451,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_7
| ~ spl0_13
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f18267,f276]) ).
thf(f22457,plain,
( ( $true != $true )
| ~ spl0_20
| spl0_396 ),
inference(constrained_superposition,[],[f22063,f476]) ).
thf(f22478,plain,
( $false
| ~ spl0_20
| spl0_396 ),
inference(trivial_inequality_removal,[],[f22457]) ).
thf(f22479,plain,
( ~ spl0_20
| spl0_396 ),
inference(avatar_contradiction_clause,[],[f22478]) ).
thf(f22531,plain,
( spl0_376
| ~ spl0_407
| spl0_406
| ~ spl0_14
| ~ spl0_370 ),
inference(avatar_split_clause,[],[f22001,f19562,f279,f20858,f20861,f19584]) ).
thf(f22534,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| spl0_405 ),
inference(avatar_component_clause,[],[f20854]) ).
thf(f22537,plain,
( spl0_389
| spl0_396
| ~ spl0_381
| ~ spl0_4
| ~ spl0_370 ),
inference(avatar_split_clause,[],[f21996,f19562,f81,f19646,f20329,f20017]) ).
thf(f22708,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( X0 = X1 )
| ( $true != $true ) )
| ~ spl0_16
| ~ spl0_415 ),
inference(constrained_superposition,[],[f41,f21630]) ).
thf(f22711,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_16
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f22708]) ).
thf(f22718,plain,
( spl0_21
| ~ spl0_16
| ~ spl0_415 ),
inference(avatar_split_clause,[],[f22711,f21040,f286,f478]) ).
thf(f22723,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_440 ),
inference(constrained_superposition,[],[f22032,f61]) ).
thf(f22731,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_440 ),
inference(trivial_inequality_removal,[],[f22723]) ).
thf(f22734,definition,
( spl0_448
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_448])],[avatar_definition]) ).
thf(f22735,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_448 ),
inference(avatar_component_clause,[],[f22734]) ).
thf(f22741,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_440 ),
inference(forward_subsumption_resolution,[],[f22731,f32]) ).
thf(f22742,plain,
( spl0_448
| spl0_440 ),
inference(avatar_split_clause,[],[f22741,f22031,f22734]) ).
thf(f22760,definition,
( spl0_450
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_450])],[avatar_definition]) ).
thf(f22761,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_450 ),
inference(avatar_component_clause,[],[f22760]) ).
thf(f22767,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f203,f27]) ).
thf(f22772,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f22767]) ).
thf(f22828,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_442 ),
inference(forward_subsumption_resolution,[],[f22321,f32]) ).
thf(f22830,plain,
( spl0_415
| spl0_442 ),
inference(avatar_split_clause,[],[f22828,f22091,f21040]) ).
thf(f22905,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_202
| ~ spl0_448 ),
inference(constrained_superposition,[],[f7414,f22735]) ).
thf(f22908,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_448 ),
inference(constrained_superposition,[],[f140,f22735]) ).
thf(f22917,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_448 ),
inference(trivial_inequality_removal,[],[f22908]) ).
thf(f22923,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_202
| ~ spl0_448 ),
inference(trivial_inequality_removal,[],[f22905]) ).
thf(f22928,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_396
| ~ spl0_448 ),
inference(forward_subsumption_resolution,[],[f22917,f20330]) ).
thf(f22930,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_202
| ~ spl0_396
| ~ spl0_448 ),
inference(forward_subsumption_resolution,[],[f22923,f20330]) ).
thf(f22939,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| spl0_37
| ~ spl0_396
| ~ spl0_448 ),
inference(forward_subsumption_resolution,[],[f22928,f8323]) ).
thf(f22940,plain,
( spl0_406
| ~ spl0_202
| ~ spl0_396
| ~ spl0_448 ),
inference(avatar_split_clause,[],[f22930,f22734,f20329,f7413,f20858]) ).
thf(f22941,plain,
( spl0_406
| spl0_37
| ~ spl0_396
| ~ spl0_448 ),
inference(avatar_split_clause,[],[f22939,f22734,f20329,f1567,f20858]) ).
thf(f22943,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_4
| ~ spl0_373 ),
inference(constrained_superposition,[],[f12362,f19574]) ).
thf(f22954,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_373 ),
inference(trivial_inequality_removal,[],[f22943]) ).
thf(f22963,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_4
| ~ spl0_373
| spl0_376 ),
inference(forward_subsumption_resolution,[],[f22954,f19585]) ).
thf(f22966,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_435 ),
inference(avatar_component_clause,[],[f21640]) ).
thf(f22967,plain,
( ~ spl0_435
| spl0_406
| ~ spl0_4
| ~ spl0_373
| spl0_376 ),
inference(avatar_split_clause,[],[f22963,f19584,f19573,f81,f20858,f21640]) ).
thf(f23019,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_371
| ~ spl0_379 ),
inference(constrained_superposition,[],[f19640,f19566]) ).
thf(f23045,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_371
| ~ spl0_379 ),
inference(trivial_inequality_removal,[],[f23019]) ).
thf(f23048,plain,
( ~ spl0_440
| ~ spl0_371
| ~ spl0_379 ),
inference(avatar_split_clause,[],[f23045,f19639,f19565,f22031]) ).
thf(f23136,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_16
| ~ spl0_26 ),
inference(constrained_superposition,[],[f287,f679]) ).
thf(f23137,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_26
| spl0_35 ),
inference(constrained_superposition,[],[f1559,f679]) ).
thf(f23144,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_26
| spl0_35 ),
inference(trivial_inequality_removal,[],[f23137]) ).
thf(f23149,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_16
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f23136]) ).
thf(f23150,plain,
( $false
| ~ spl0_26
| spl0_35 ),
inference(forward_subsumption_resolution,[],[f23144,f32]) ).
thf(f23151,plain,
( ~ spl0_26
| spl0_35 ),
inference(avatar_contradiction_clause,[],[f23150]) ).
thf(f23154,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ~ spl0_16
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f23149,f32]) ).
thf(f23155,plain,
( spl0_348
| ~ spl0_16
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f23154,f678,f286,f18607]) ).
thf(f23198,definition,
( spl0_453
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_453])],[avatar_definition]) ).
thf(f23200,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_407 ),
inference(avatar_component_clause,[],[f20861]) ).
thf(f23210,plain,
( spl0_68
| spl0_255
| spl0_45 ),
inference(avatar_split_clause,[],[f19543,f1613,f10026,f2309]) ).
thf(f23212,definition,
( spl0_455
<=> ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_455])],[avatar_definition]) ).
thf(f23213,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_455 ),
inference(avatar_component_clause,[],[f23212]) ).
thf(f23214,plain,
( spl0_234
| spl0_455
| ~ spl0_7
| ~ spl0_13
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f22451,f7405,f275,f120,f23212,f9006]) ).
thf(f23221,plain,
( ( $true != $true )
| ~ spl0_16
| ~ spl0_31
| ~ spl0_377 ),
inference(constrained_superposition,[],[f1085,f20073]) ).
thf(f23226,plain,
( $false
| ~ spl0_16
| ~ spl0_31
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f23221]) ).
thf(f23227,plain,
( ~ spl0_16
| ~ spl0_31
| ~ spl0_377 ),
inference(avatar_contradiction_clause,[],[f23226]) ).
thf(f23265,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_16
| ~ spl0_35 ),
inference(constrained_superposition,[],[f287,f1608]) ).
thf(f23272,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_16
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f23265]) ).
thf(f23275,plain,
( spl0_234
| ~ spl0_16
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f23272,f1558,f286,f9006]) ).
thf(f23276,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_13
| ~ spl0_68 ),
inference(constrained_superposition,[],[f276,f11573]) ).
thf(f23284,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_13
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f23276]) ).
thf(f23290,plain,
( $false
| ~ spl0_13
| ~ spl0_35
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f23284,f1608]) ).
thf(f23291,plain,
( ~ spl0_13
| ~ spl0_35
| ~ spl0_68 ),
inference(avatar_contradiction_clause,[],[f23290]) ).
thf(f23366,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_16
| ~ spl0_369
| ~ spl0_377 ),
inference(constrained_superposition,[],[f20089,f19556]) ).
thf(f23367,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_14
| ~ spl0_369 ),
inference(constrained_superposition,[],[f12389,f19556]) ).
thf(f23374,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_14
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f23367]) ).
thf(f23382,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_16
| ~ spl0_369
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f23366]) ).
thf(f23387,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_14
| ~ spl0_234
| ~ spl0_369 ),
inference(forward_subsumption_resolution,[],[f23374,f9007]) ).
thf(f23389,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_16
| ~ spl0_234
| ~ spl0_369
| ~ spl0_377 ),
inference(forward_subsumption_resolution,[],[f23382,f9007]) ).
thf(f23391,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_14
| ~ spl0_234
| ~ spl0_369
| spl0_376 ),
inference(forward_subsumption_resolution,[],[f23387,f19585]) ).
thf(f23392,plain,
( spl0_54
| ~ spl0_16
| ~ spl0_234
| ~ spl0_369
| ~ spl0_377 ),
inference(avatar_split_clause,[],[f23389,f19588,f19555,f9006,f286,f1880]) ).
thf(f23393,plain,
( spl0_54
| ~ spl0_14
| ~ spl0_234
| ~ spl0_369
| spl0_376 ),
inference(avatar_split_clause,[],[f23391,f19584,f19555,f9006,f279,f1880]) ).
thf(f23394,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_41
| ~ spl0_368 ),
inference(constrained_superposition,[],[f1585,f19553]) ).
thf(f23401,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_41
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f23394]) ).
thf(f23408,plain,
( ~ spl0_453
| ~ spl0_41
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f23401,f19552,f1584,f23198]) ).
thf(f23421,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_10
| ~ spl0_407 ),
inference(constrained_superposition,[],[f203,f23200]) ).
thf(f23425,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_407 ),
inference(constrained_superposition,[],[f141,f23200]) ).
thf(f23428,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_407 ),
inference(constrained_superposition,[],[f41,f23200]) ).
thf(f23429,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_407 ),
inference(constrained_superposition,[],[f26,f23200]) ).
thf(f23430,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_407 ),
inference(trivial_inequality_removal,[],[f23425]) ).
thf(f23432,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_10
| ~ spl0_407 ),
inference(trivial_inequality_removal,[],[f23421]) ).
thf(f23433,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_407 ),
inference(trivial_inequality_removal,[],[f23428]) ).
thf(f23436,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_407 ),
inference(trivial_inequality_removal,[],[f23429]) ).
thf(f23439,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_11
| ~ spl0_407 ),
inference(forward_subsumption_resolution,[],[f23430,f302]) ).
thf(f23440,plain,
( spl0_415
| ~ spl0_10
| ~ spl0_407 ),
inference(avatar_split_clause,[],[f23432,f20861,f202,f21040]) ).
thf(f23441,plain,
( spl0_21
| ~ spl0_407 ),
inference(avatar_split_clause,[],[f23433,f20861,f478]) ).
thf(f23445,plain,
( spl0_31
| spl0_415
| ~ spl0_11
| ~ spl0_407 ),
inference(avatar_split_clause,[],[f23439,f20861,f205,f21040,f1084]) ).
thf(f23625,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_373
| ~ spl0_407 ),
inference(constrained_superposition,[],[f23436,f19574]) ).
thf(f23630,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_373
| ~ spl0_407 ),
inference(trivial_inequality_removal,[],[f23625]) ).
thf(f23634,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_16
| ~ spl0_373
| ~ spl0_377
| ~ spl0_407 ),
inference(forward_subsumption_resolution,[],[f23630,f20073]) ).
thf(f23635,plain,
( spl0_389
| ~ spl0_16
| ~ spl0_373
| ~ spl0_377
| ~ spl0_407 ),
inference(avatar_split_clause,[],[f23634,f20861,f19588,f19573,f286,f20017]) ).
thf(f23640,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_255
| ~ spl0_382 ),
inference(constrained_superposition,[],[f10027,f19651]) ).
thf(f23651,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_255
| ~ spl0_382 ),
inference(trivial_inequality_removal,[],[f23640]) ).
thf(f23660,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_16
| ~ spl0_255
| ~ spl0_377
| ~ spl0_382 ),
inference(forward_subsumption_resolution,[],[f23651,f20073]) ).
thf(f23663,plain,
( spl0_389
| ~ spl0_16
| ~ spl0_255
| ~ spl0_377
| ~ spl0_382 ),
inference(avatar_split_clause,[],[f23660,f19650,f19588,f10026,f286,f20017]) ).
thf(f23702,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_415 ),
inference(avatar_component_clause,[],[f21040]) ).
thf(f23708,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_415 ),
inference(constrained_superposition,[],[f23702,f35]) ).
thf(f23710,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_222
| spl0_415 ),
inference(constrained_superposition,[],[f23702,f8342]) ).
thf(f23711,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_224
| spl0_415 ),
inference(constrained_superposition,[],[f23702,f8368]) ).
thf(f23720,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_222
| spl0_415 ),
inference(trivial_inequality_removal,[],[f23710]) ).
thf(f23723,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_415 ),
inference(trivial_inequality_removal,[],[f23708]) ).
thf(f23727,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_224
| spl0_415 ),
inference(trivial_inequality_removal,[],[f23711]) ).
thf(f23731,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_222
| spl0_415 ),
inference(forward_subsumption_resolution,[],[f23720,f32]) ).
thf(f23735,plain,
( spl0_383
| spl0_395
| ~ spl0_224
| spl0_415 ),
inference(avatar_split_clause,[],[f23727,f21040,f8367,f20322,f19657]) ).
thf(f23738,plain,
( spl0_383
| ~ spl0_222
| spl0_415 ),
inference(avatar_split_clause,[],[f23731,f21040,f8341,f19657]) ).
thf(f23744,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_11
| ~ spl0_81
| spl0_415 ),
inference(constrained_superposition,[],[f8413,f23723]) ).
thf(f23746,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_228
| spl0_415 ),
inference(constrained_superposition,[],[f8425,f23723]) ).
thf(f23756,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_11
| ~ spl0_81
| spl0_415 ),
inference(trivial_inequality_removal,[],[f23744]) ).
thf(f23757,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_228
| spl0_415 ),
inference(trivial_inequality_removal,[],[f23746]) ).
thf(f23767,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_440 ),
inference(avatar_component_clause,[],[f22031]) ).
thf(f23768,plain,
( spl0_440
| spl0_383
| ~ spl0_11
| ~ spl0_81
| spl0_415 ),
inference(avatar_split_clause,[],[f23756,f21040,f2539,f205,f19657,f22031]) ).
thf(f23769,plain,
( spl0_402
| spl0_440
| ~ spl0_228
| spl0_415 ),
inference(avatar_split_clause,[],[f23757,f21040,f8424,f22031,f20603]) ).
thf(f23784,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_67 ),
inference(constrained_superposition,[],[f2249,f1090]) ).
thf(f23785,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_67 ),
inference(constrained_superposition,[],[f2249,f64]) ).
thf(f23789,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f23784]) ).
thf(f23791,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f23785]) ).
thf(f23911,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_7
| ~ spl0_405 ),
inference(constrained_superposition,[],[f121,f20855]) ).
thf(f23912,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_2
| spl0_15
| ~ spl0_405 ),
inference(constrained_superposition,[],[f11105,f20855]) ).
thf(f23916,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_2
| ~ spl0_405 ),
inference(constrained_superposition,[],[f49,f20855]) ).
thf(f23918,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f23916]) ).
thf(f23919,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_7
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f23911]) ).
thf(f23920,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| spl0_15
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f23912]) ).
thf(f23927,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_7
| spl0_15
| ~ spl0_405 ),
inference(forward_subsumption_resolution,[],[f23919,f746]) ).
thf(f23928,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_2
| spl0_15
| ~ spl0_405 ),
inference(forward_subsumption_resolution,[],[f23920,f32]) ).
thf(f23932,plain,
( spl0_407
| ~ spl0_7
| spl0_15
| ~ spl0_405 ),
inference(avatar_split_clause,[],[f23927,f20854,f283,f120,f20861]) ).
thf(f23933,plain,
( spl0_407
| ~ spl0_2
| spl0_15
| ~ spl0_405 ),
inference(avatar_split_clause,[],[f23928,f20854,f283,f48,f20861]) ).
thf(f23950,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_16
| ~ spl0_415 ),
inference(constrained_superposition,[],[f287,f21041]) ).
thf(f23958,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_16
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f23950]) ).
thf(f23960,plain,
( spl0_407
| ~ spl0_16
| ~ spl0_415 ),
inference(avatar_split_clause,[],[f23958,f21040,f286,f20861]) ).
thf(f24104,definition,
( spl0_461
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_461])],[avatar_definition]) ).
thf(f24105,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_461 ),
inference(avatar_component_clause,[],[f24104]) ).
thf(f24106,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_436 ),
inference(avatar_component_clause,[],[f21938]) ).
thf(f24124,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_405 ),
inference(constrained_superposition,[],[f23918,f1090]) ).
thf(f24143,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_2
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f24124]) ).
thf(f24211,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_461 ),
inference(avatar_component_clause,[],[f24104]) ).
thf(f24217,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[],[f8445,f2086]) ).
thf(f24223,plain,
( spl0_397
| ~ spl0_37
| ~ spl0_2
| ~ spl0_405 ),
inference(avatar_split_clause,[],[f24143,f20854,f48,f1567,f20334]) ).
thf(f24229,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_377 ),
inference(avatar_component_clause,[],[f19588]) ).
thf(f24238,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_274 ),
inference(avatar_component_clause,[],[f10967]) ).
thf(f24240,plain,
( spl0_81
| spl0_50
| ~ spl0_6
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f24217,f2376,f88,f1823,f2539]) ).
thf(f24245,definition,
( spl0_466
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_466])],[avatar_definition]) ).
thf(f24246,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_466 ),
inference(avatar_component_clause,[],[f24245]) ).
thf(f24247,plain,
( spl0_466
| spl0_72
| spl0_45 ),
inference(avatar_split_clause,[],[f19544,f1613,f2376,f24245]) ).
thf(f24252,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_18
| ~ spl0_37 ),
inference(constrained_superposition,[],[f337,f1568]) ).
thf(f24258,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_37 ),
inference(constrained_superposition,[],[f49,f1568]) ).
thf(f24262,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_2
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f24258]) ).
thf(f24265,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_18
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f24252]) ).
thf(f24268,plain,
( spl0_366
| ~ spl0_2
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f24262,f1567,f48,f19015]) ).
thf(f24282,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f26,f1597]) ).
thf(f24290,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f24282]) ).
thf(f24297,plain,
( spl0_466
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f24290,f1596,f24245]) ).
thf(f24394,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_453 ),
inference(avatar_component_clause,[],[f23198]) ).
thf(f24435,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_396 ),
inference(constrained_superposition,[],[f22063,f27]) ).
thf(f24436,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_396 ),
inference(trivial_inequality_removal,[],[f24435]) ).
thf(f24437,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_396 ),
inference(forward_subsumption_resolution,[],[f24436,f32]) ).
thf(f24438,plain,
( spl0_405
| spl0_396 ),
inference(avatar_split_clause,[],[f24437,f20329,f20854]) ).
thf(f24533,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_366 ),
inference(constrained_superposition,[],[f19016,f63]) ).
thf(f24537,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( b @ ( s @ X0 ) @ z )
!= $true ) )
| ~ spl0_366 ),
inference(constrained_superposition,[],[f19016,f37]) ).
thf(f24543,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f24537]) ).
thf(f24545,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f24533]) ).
thf(f24561,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_255
| ~ spl0_397 ),
inference(constrained_superposition,[],[f10027,f20335]) ).
thf(f24574,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_255
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f24561]) ).
thf(f24580,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_255
| ~ spl0_397
| ~ spl0_407 ),
inference(forward_subsumption_resolution,[],[f24574,f23200]) ).
thf(f24587,plain,
( spl0_406
| ~ spl0_255
| ~ spl0_397
| ~ spl0_407 ),
inference(avatar_split_clause,[],[f24580,f20861,f20334,f10026,f20858]) ).
thf(f24630,definition,
( spl0_470
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_470])],[avatar_definition]) ).
thf(f24631,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_470 ),
inference(avatar_component_clause,[],[f24630]) ).
thf(f24634,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_372
| ~ spl0_380 ),
inference(constrained_superposition,[],[f19644,f19571]) ).
thf(f24655,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_372
| ~ spl0_380 ),
inference(trivial_inequality_removal,[],[f24634]) ).
thf(f24665,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_371
| ~ spl0_404 ),
inference(constrained_superposition,[],[f20811,f19566]) ).
thf(f24689,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_371
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f24665]) ).
thf(f24696,plain,
( $false
| ~ spl0_371
| ~ spl0_404
| ~ spl0_453 ),
inference(forward_subsumption_resolution,[],[f24689,f24394]) ).
thf(f24697,plain,
( ~ spl0_371
| ~ spl0_404
| ~ spl0_453 ),
inference(avatar_contradiction_clause,[],[f24696]) ).
thf(f24734,plain,
( ~ spl0_436
| ~ spl0_372
| ~ spl0_380 ),
inference(avatar_split_clause,[],[f24655,f19643,f19570,f21938]) ).
thf(f24755,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_407 ),
inference(constrained_superposition,[],[f140,f23200]) ).
thf(f24761,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_407 ),
inference(constrained_superposition,[],[f26,f23200]) ).
thf(f24765,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_407 ),
inference(trivial_inequality_removal,[],[f24755]) ).
thf(f24768,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_407 ),
inference(trivial_inequality_removal,[],[f24761]) ).
thf(f24885,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_6
| ~ spl0_8 ),
inference(constrained_superposition,[],[f124,f2086]) ).
thf(f24893,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_8
| ~ spl0_411 ),
inference(constrained_superposition,[],[f124,f20939]) ).
thf(f24905,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_6
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f24885]) ).
thf(f24913,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_8
| ~ spl0_411 ),
inference(trivial_inequality_removal,[],[f24893]) ).
thf(f24915,plain,
( spl0_206
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f24905,f123,f88,f7461]) ).
thf(f24917,definition,
( spl0_471
<=> ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_471])],[avatar_definition]) ).
thf(f24918,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_471 ),
inference(avatar_component_clause,[],[f24917]) ).
thf(f24933,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f7462,f63]) ).
thf(f24940,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f24933]) ).
thf(f24958,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_371
| ~ spl0_411 ),
inference(constrained_superposition,[],[f24913,f19566]) ).
thf(f24968,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_8
| ~ spl0_371
| ~ spl0_411 ),
inference(trivial_inequality_removal,[],[f24958]) ).
thf(f24979,plain,
( $false
| ~ spl0_8
| ~ spl0_371
| ~ spl0_398
| ~ spl0_411 ),
inference(forward_subsumption_resolution,[],[f24968,f20587]) ).
thf(f24980,plain,
( ~ spl0_8
| ~ spl0_371
| ~ spl0_398
| ~ spl0_411 ),
inference(avatar_contradiction_clause,[],[f24979]) ).
thf(f24986,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f24940,f36]) ).
thf(f24989,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f24986]) ).
thf(f25138,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_407
| ~ spl0_448 ),
inference(constrained_superposition,[],[f24768,f22735]) ).
thf(f25146,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_407
| ~ spl0_448 ),
inference(trivial_inequality_removal,[],[f25138]) ).
thf(f25147,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_234
| ~ spl0_407
| ~ spl0_448 ),
inference(forward_subsumption_resolution,[],[f25146,f9007]) ).
thf(f25148,plain,
( spl0_54
| ~ spl0_234
| ~ spl0_407
| ~ spl0_448 ),
inference(avatar_split_clause,[],[f25147,f22734,f20861,f9006,f1880]) ).
thf(f25149,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_16
| ~ spl0_377 ),
inference(constrained_superposition,[],[f287,f19589]) ).
thf(f25154,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_16
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f25149]) ).
thf(f25159,plain,
( spl0_461
| ~ spl0_16
| ~ spl0_377 ),
inference(avatar_split_clause,[],[f25154,f19588,f286,f24104]) ).
thf(f25180,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_461 ),
inference(constrained_superposition,[],[f41,f24105]) ).
thf(f25190,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_461 ),
inference(trivial_inequality_removal,[],[f25180]) ).
thf(f25193,plain,
( spl0_21
| ~ spl0_461 ),
inference(avatar_split_clause,[],[f25190,f24104,f478]) ).
thf(f25304,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_7
| ~ spl0_37 ),
inference(constrained_superposition,[],[f121,f1568]) ).
thf(f25328,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_7
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f25304]) ).
thf(f25413,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_275
| ~ spl0_377 ),
inference(constrained_superposition,[],[f10975,f19589]) ).
thf(f25415,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_275 ),
inference(constrained_superposition,[],[f10975,f35]) ).
thf(f25428,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f25415]) ).
thf(f25436,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_275
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f25413]) ).
thf(f25443,definition,
( spl0_473
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_473])],[avatar_definition]) ).
thf(f25444,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_473 ),
inference(avatar_component_clause,[],[f25443]) ).
thf(f25445,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_374 ),
inference(avatar_component_clause,[],[f19577]) ).
thf(f25446,plain,
( spl0_473
| spl0_374
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f25428,f10974,f19577,f25443]) ).
thf(f25447,plain,
( spl0_473
| ~ spl0_275
| ~ spl0_377 ),
inference(avatar_split_clause,[],[f25436,f19588,f10974,f25443]) ).
thf(f25507,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_15
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f23791,f746]) ).
thf(f25509,plain,
( spl0_234
| ~ spl0_18
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f24265,f1567,f336,f9006]) ).
thf(f25512,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_7
| spl0_15
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f25328,f746]) ).
thf(f25517,plain,
( spl0_234
| spl0_15
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f25507,f2248,f283,f9006]) ).
thf(f25519,plain,
( spl0_234
| ~ spl0_7
| spl0_15
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f25512,f1567,f283,f120,f9006]) ).
thf(f25522,plain,
( ( ( b @ ( s @ z ) @ z )
= $true )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f78]) ).
thf(f25529,plain,
( spl0_4
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f24989,f7461,f81]) ).
thf(f25530,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_396
| ~ spl0_407 ),
inference(forward_subsumption_resolution,[],[f24765,f20330]) ).
thf(f25533,definition,
( spl0_475
<=> ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_475])],[avatar_definition]) ).
thf(f25534,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_475 ),
inference(avatar_component_clause,[],[f25533]) ).
thf(f25535,plain,
( spl0_475
| spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f898,f205,f78,f25533]) ).
thf(f25538,definition,
( spl0_476
<=> ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_476])],[avatar_definition]) ).
thf(f25539,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_476 ),
inference(avatar_component_clause,[],[f25538]) ).
thf(f25540,plain,
( spl0_476
| spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f942,f205,f78,f25538]) ).
thf(f25550,plain,
( spl0_406
| spl0_3
| ~ spl0_396
| ~ spl0_407 ),
inference(avatar_split_clause,[],[f25530,f20861,f20329,f78,f20858]) ).
thf(f25561,plain,
( ~ spl0_3
| spl0_43
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f24545,f19015,f1596,f78]) ).
thf(f25565,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 ) )
| ~ spl0_11
| ~ spl0_15 ),
inference(constrained_superposition,[],[f366,f284]) ).
thf(f25570,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( X0 = X1 ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f41,f284]) ).
thf(f25571,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f26,f284]) ).
thf(f25576,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
!= $true )
| ( z = X0 ) )
| ~ spl0_11
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f25565]) ).
thf(f25577,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f25571]) ).
thf(f25578,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f25570]) ).
thf(f25580,definition,
( spl0_480
<=> ! [X1: $i] :
( ( ( s @ z )
= X1 )
| ( ( b @ ( s @ z ) @ X1 )
= $true )
| ( $true
!= ( r @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_480])],[avatar_definition]) ).
thf(f25581,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( ( s @ z )
= X1 )
| ( ( b @ ( s @ z ) @ X1 )
= $true ) )
| ~ spl0_480 ),
inference(avatar_component_clause,[],[f25580]) ).
thf(f25583,plain,
( spl0_203
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f25577,f283,f7424]) ).
thf(f25584,plain,
( spl0_21
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f25578,f283,f478]) ).
thf(f25619,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_376 ),
inference(constrained_superposition,[],[f370,f20873]) ).
thf(f25634,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_11
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f25619]) ).
thf(f25638,plain,
( spl0_411
| spl0_383
| ~ spl0_11
| ~ spl0_376 ),
inference(avatar_split_clause,[],[f25634,f19584,f205,f19657,f20938]) ).
thf(f25657,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_11
| ~ spl0_374 ),
inference(constrained_superposition,[],[f318,f25445]) ).
thf(f25666,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_11
| ~ spl0_374 ),
inference(trivial_inequality_removal,[],[f25657]) ).
thf(f25674,plain,
( spl0_389
| spl0_411
| spl0_383
| ~ spl0_11
| ~ spl0_374 ),
inference(avatar_split_clause,[],[f25666,f19577,f205,f19657,f20938,f20017]) ).
thf(f25698,plain,
( ( $true != $true )
| ~ spl0_396
| ~ spl0_406 ),
inference(constrained_superposition,[],[f20859,f20330]) ).
thf(f25700,plain,
( $false
| ~ spl0_396
| ~ spl0_406 ),
inference(trivial_inequality_removal,[],[f25698]) ).
thf(f25701,plain,
( ~ spl0_396
| ~ spl0_406 ),
inference(avatar_contradiction_clause,[],[f25700]) ).
thf(f25706,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(constrained_superposition,[],[f49,f25522]) ).
thf(f25710,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f25706]) ).
thf(f25764,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_67
| ~ spl0_405 ),
inference(constrained_superposition,[],[f23789,f20855]) ).
thf(f25774,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_67
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f25764]) ).
thf(f25778,plain,
( spl0_397
| ~ spl0_67
| ~ spl0_405 ),
inference(avatar_split_clause,[],[f25774,f20854,f2248,f20334]) ).
thf(f25826,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_411 ),
inference(constrained_superposition,[],[f1540,f20939]) ).
thf(f25833,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_411 ),
inference(trivial_inequality_removal,[],[f25826]) ).
thf(f25838,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_415 ),
inference(constrained_superposition,[],[f23702,f35]) ).
thf(f25840,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_26
| spl0_415 ),
inference(constrained_superposition,[],[f23702,f679]) ).
thf(f25845,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_26
| spl0_415 ),
inference(trivial_inequality_removal,[],[f25840]) ).
thf(f25848,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_415 ),
inference(trivial_inequality_removal,[],[f25838]) ).
thf(f25852,plain,
( $false
| ~ spl0_26
| spl0_415 ),
inference(forward_subsumption_resolution,[],[f25845,f32]) ).
thf(f25853,plain,
( ~ spl0_26
| spl0_415 ),
inference(avatar_contradiction_clause,[],[f25852]) ).
thf(f25859,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_11
| spl0_415 ),
inference(constrained_superposition,[],[f318,f25848]) ).
thf(f25872,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_11
| spl0_415 ),
inference(trivial_inequality_removal,[],[f25859]) ).
thf(f25876,plain,
( spl0_398
| spl0_395
| spl0_406
| ~ spl0_11
| spl0_415 ),
inference(avatar_split_clause,[],[f25872,f21040,f205,f20858,f20322,f20586]) ).
thf(f25886,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(constrained_superposition,[],[f25710,f64]) ).
thf(f25898,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f25886]) ).
thf(f25901,plain,
( spl0_18
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f25898,f78,f48,f336]) ).
thf(f26046,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_448
| ~ spl0_466 ),
inference(constrained_superposition,[],[f24246,f22735]) ).
thf(f26053,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_448 ),
inference(constrained_superposition,[],[f26,f22735]) ).
thf(f26059,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_448
| ~ spl0_466 ),
inference(trivial_inequality_removal,[],[f26046]) ).
thf(f26060,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_448 ),
inference(trivial_inequality_removal,[],[f26053]) ).
thf(f26066,plain,
( ~ spl0_435
| spl0_406
| ~ spl0_448
| ~ spl0_466 ),
inference(avatar_split_clause,[],[f26059,f24245,f22734,f20858,f21640]) ).
thf(f26090,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ X0 )
= z )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_212 ),
inference(constrained_superposition,[],[f7524,f61]) ).
thf(f26097,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f26090]) ).
thf(f26098,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_212 ),
inference(forward_subsumption_resolution,[],[f26097,f32]) ).
thf(f26100,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_11
| ~ spl0_435 ),
inference(constrained_superposition,[],[f311,f21641]) ).
thf(f26114,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_11
| ~ spl0_435 ),
inference(trivial_inequality_removal,[],[f26100]) ).
thf(f26138,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f742,f27]) ).
thf(f26140,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f26138]) ).
thf(f26147,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_371
| ~ spl0_473 ),
inference(constrained_superposition,[],[f25444,f19566]) ).
thf(f26158,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_371
| ~ spl0_473 ),
inference(trivial_inequality_removal,[],[f26147]) ).
thf(f26162,plain,
( $false
| ~ spl0_371
| ~ spl0_405
| ~ spl0_473 ),
inference(forward_subsumption_resolution,[],[f26158,f20855]) ).
thf(f26163,plain,
( ~ spl0_371
| ~ spl0_405
| ~ spl0_473 ),
inference(avatar_contradiction_clause,[],[f26162]) ).
thf(f26164,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_271
| ~ spl0_373 ),
inference(constrained_superposition,[],[f10944,f19574]) ).
thf(f26178,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_271
| ~ spl0_373 ),
inference(trivial_inequality_removal,[],[f26164]) ).
thf(f26187,plain,
( ~ spl0_397
| spl0_406
| ~ spl0_271
| ~ spl0_373 ),
inference(avatar_split_clause,[],[f26178,f19573,f10943,f20858,f20334]) ).
thf(f26189,plain,
( ~ spl0_442
| spl0_406
| ~ spl0_11
| ~ spl0_435 ),
inference(avatar_split_clause,[],[f26114,f21640,f205,f20858,f22091]) ).
thf(f26190,plain,
( spl0_382
| ~ spl0_72
| spl0_275
| ~ spl0_411 ),
inference(avatar_split_clause,[],[f25833,f20938,f10974,f2376,f19650]) ).
thf(f26237,plain,
( ( $true != $true )
| ~ spl0_406
| ~ spl0_435 ),
inference(constrained_superposition,[],[f20859,f21641]) ).
thf(f26239,plain,
( $false
| ~ spl0_406
| ~ spl0_435 ),
inference(trivial_inequality_removal,[],[f26237]) ).
thf(f26240,plain,
( ~ spl0_406
| ~ spl0_435 ),
inference(avatar_contradiction_clause,[],[f26239]) ).
thf(f26242,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_234 ),
inference(constrained_superposition,[],[f11569,f27]) ).
thf(f26243,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_234 ),
inference(trivial_inequality_removal,[],[f26242]) ).
thf(f26244,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_45
| spl0_234 ),
inference(forward_subsumption_resolution,[],[f26243,f19435]) ).
thf(f26245,plain,
( spl0_68
| spl0_45
| spl0_234 ),
inference(avatar_split_clause,[],[f26244,f9006,f1613,f2309]) ).
thf(f26294,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_407 ),
inference(constrained_superposition,[],[f26,f23200]) ).
thf(f26300,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_407 ),
inference(trivial_inequality_removal,[],[f26294]) ).
thf(f26330,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) ) )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f1827,f37]) ).
thf(f26346,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f26330]) ).
thf(f26347,plain,
( $false
| ~ spl0_397
| ~ spl0_406 ),
inference(forward_subsumption_resolution,[],[f20335,f20859]) ).
thf(f26348,plain,
( ~ spl0_397
| ~ spl0_406 ),
inference(avatar_contradiction_clause,[],[f26347]) ).
thf(f26364,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_43 ),
inference(constrained_superposition,[],[f15138,f27]) ).
thf(f26365,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_43 ),
inference(trivial_inequality_removal,[],[f26364]) ).
thf(f26411,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_41 ),
inference(constrained_superposition,[],[f1585,f37]) ).
thf(f26419,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f26411]) ).
thf(f26504,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
= $true )
| ( ( r @ X0 @ z )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f7425,f27]) ).
thf(f26507,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f26504]) ).
thf(f26525,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_394
| ~ spl0_398 ),
inference(constrained_superposition,[],[f20307,f20587]) ).
thf(f26552,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_394
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f26525]) ).
thf(f26553,plain,
( $false
| ~ spl0_394
| ~ spl0_398
| ~ spl0_411 ),
inference(forward_subsumption_resolution,[],[f26552,f20939]) ).
thf(f26554,plain,
( ~ spl0_394
| ~ spl0_398
| ~ spl0_411 ),
inference(avatar_contradiction_clause,[],[f26553]) ).
thf(f26615,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_108
| spl0_396 ),
inference(constrained_superposition,[],[f22063,f4116]) ).
thf(f26637,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_108
| spl0_396 ),
inference(trivial_inequality_removal,[],[f26615]) ).
thf(f26642,plain,
( $false
| ~ spl0_108
| spl0_396 ),
inference(forward_subsumption_resolution,[],[f26637,f32]) ).
thf(f26643,plain,
( ~ spl0_108
| spl0_396 ),
inference(avatar_contradiction_clause,[],[f26642]) ).
thf(f26666,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_7
| ~ spl0_371 ),
inference(constrained_superposition,[],[f121,f19566]) ).
thf(f26685,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_7
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f26666]) ).
thf(f26711,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_393
| ~ spl0_415 ),
inference(constrained_superposition,[],[f20304,f21041]) ).
thf(f26712,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_393 ),
inference(constrained_superposition,[],[f20304,f35]) ).
thf(f26718,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_393 ),
inference(constrained_superposition,[],[f20304,f64]) ).
thf(f26722,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_393
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f26711]) ).
thf(f26727,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_393 ),
inference(trivial_inequality_removal,[],[f26718]) ).
thf(f26728,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_393 ),
inference(trivial_inequality_removal,[],[f26712]) ).
thf(f26732,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_393
| spl0_442 ),
inference(forward_subsumption_resolution,[],[f26728,f22092]) ).
thf(f26734,definition,
( spl0_482
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_482])],[avatar_definition]) ).
thf(f26735,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_482 ),
inference(avatar_component_clause,[],[f26734]) ).
thf(f26737,plain,
( spl0_482
| ~ spl0_393
| spl0_442 ),
inference(avatar_split_clause,[],[f26732,f22091,f20303,f26734]) ).
thf(f26844,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(constrained_superposition,[],[f124,f903]) ).
thf(f26849,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_8
| ~ spl0_72 ),
inference(constrained_superposition,[],[f124,f8419]) ).
thf(f26852,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( b @ X0 @ z )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(constrained_superposition,[],[f124,f373]) ).
thf(f26855,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( b @ z @ ( s @ z ) )
= $true ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f26844]) ).
thf(f26863,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( ( b @ X0 @ z )
= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f26852]) ).
thf(f26866,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_8
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f26849]) ).
thf(f26867,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ ( s @ X0 ) )
!= $true )
| ( z = X0 ) )
| spl0_6
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f26855,f89]) ).
thf(f26869,plain,
( spl0_79
| ~ spl0_8
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f26866,f2376,f123,f2461]) ).
thf(f26870,plain,
( spl0_471
| spl0_6
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f26867,f205,f123,f88,f24917]) ).
thf(f26875,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_79 ),
inference(constrained_superposition,[],[f2462,f37]) ).
thf(f26889,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f26875]) ).
thf(f27067,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_275 ),
inference(constrained_superposition,[],[f10975,f64]) ).
thf(f27074,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f27067]) ).
thf(f27871,definition,
( spl0_499
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( r @ z @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_499])],[avatar_definition]) ).
thf(f27872,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 ) )
| ~ spl0_499 ),
inference(avatar_component_clause,[],[f27871]) ).
thf(f28465,definition,
( spl0_514
<=> ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_514])],[avatar_definition]) ).
thf(f28466,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_514 ),
inference(avatar_component_clause,[],[f28465]) ).
thf(f28556,definition,
( spl0_517
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_517])],[avatar_definition]) ).
thf(f28557,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_517 ),
inference(avatar_component_clause,[],[f28556]) ).
thf(f28570,definition,
( spl0_519
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_519])],[avatar_definition]) ).
thf(f28571,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_519 ),
inference(avatar_component_clause,[],[f28570]) ).
thf(f28587,definition,
( spl0_520
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_520])],[avatar_definition]) ).
thf(f28588,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_520 ),
inference(avatar_component_clause,[],[f28587]) ).
thf(f28613,definition,
( spl0_521
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_521])],[avatar_definition]) ).
thf(f28614,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_521 ),
inference(avatar_component_clause,[],[f28613]) ).
thf(f28647,definition,
( spl0_522
<=> ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_522])],[avatar_definition]) ).
thf(f28648,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_522 ),
inference(avatar_component_clause,[],[f28647]) ).
thf(f29743,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ X0 )
= z )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_85 ),
inference(constrained_superposition,[],[f2561,f37]) ).
thf(f29748,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= z ) )
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f29743]) ).
thf(f29750,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[],[f29748,f32]) ).
thf(f29824,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_453
| ~ spl0_455 ),
inference(constrained_superposition,[],[f23213,f24394]) ).
thf(f29829,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_453
| ~ spl0_455 ),
inference(trivial_inequality_removal,[],[f29824]) ).
thf(f29836,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_453
| ~ spl0_455 ),
inference(forward_subsumption_resolution,[],[f29829,f32]) ).
thf(f29841,plain,
( spl0_269
| ~ spl0_453
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f29836,f23212,f23198,f10926]) ).
thf(f30528,definition,
( spl0_571
<=> ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( b @ X0 @ z )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_571])],[avatar_definition]) ).
thf(f30529,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_571 ),
inference(avatar_component_clause,[],[f30528]) ).
thf(f30770,definition,
( spl0_612
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_612])],[avatar_definition]) ).
thf(f30771,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_612 ),
inference(avatar_component_clause,[],[f30770]) ).
thf(f30875,definition,
( spl0_633
<=> ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_633])],[avatar_definition]) ).
thf(f30876,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_633 ),
inference(avatar_component_clause,[],[f30875]) ).
thf(f30956,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_212 ),
inference(constrained_superposition,[],[f26,f26098]) ).
thf(f30963,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( z = X0 )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_212 ),
inference(trivial_inequality_removal,[],[f30956]) ).
thf(f30974,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( z = X1 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ X1 ) ) )
!= $true ) )
| ~ spl0_212
| ~ spl0_448 ),
inference(constrained_superposition,[],[f30963,f22735]) ).
thf(f30979,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ X1 ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_212
| ~ spl0_448 ),
inference(trivial_inequality_removal,[],[f30974]) ).
thf(f30986,definition,
( spl0_640
<=> ! [X1: $i] :
( ( z = X1 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ X1 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_640])],[avatar_definition]) ).
thf(f30987,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ X1 ) ) )
!= $true )
| ( z = X1 ) )
| ~ spl0_640 ),
inference(avatar_component_clause,[],[f30986]) ).
thf(f30988,plain,
( spl0_406
| spl0_640
| ~ spl0_212
| ~ spl0_448 ),
inference(avatar_split_clause,[],[f30979,f22734,f7523,f30986,f20858]) ).
thf(f31729,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ~ spl0_116
| spl0_377 ),
inference(constrained_superposition,[],[f24229,f5196]) ).
thf(f31757,plain,
( ( z
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_116
| spl0_377 ),
inference(trivial_inequality_removal,[],[f31729]) ).
thf(f31759,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_116
| spl0_377 ),
inference(forward_subsumption_resolution,[],[f31757,f32]) ).
thf(f31761,plain,
( spl0_383
| ~ spl0_116
| spl0_377 ),
inference(avatar_split_clause,[],[f31759,f19588,f5195,f19657]) ).
thf(f31809,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_274
| ~ spl0_387 ),
inference(constrained_superposition,[],[f24238,f20011]) ).
thf(f31843,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_274
| ~ spl0_387 ),
inference(trivial_inequality_removal,[],[f31809]) ).
thf(f31855,plain,
( $false
| spl0_274
| ~ spl0_387 ),
inference(forward_subsumption_resolution,[],[f31843,f32]) ).
thf(f31856,plain,
( spl0_274
| ~ spl0_387 ),
inference(avatar_contradiction_clause,[],[f31855]) ).
thf(f32926,plain,
( spl0_499
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f25576,f283,f205,f27871]) ).
thf(f33062,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ X0 )
= z )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ z @ ( s @ X0 ) ) ) )
| ~ spl0_499 ),
inference(constrained_superposition,[],[f27872,f27]) ).
thf(f33064,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ X0 )
= z )
| ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_499 ),
inference(trivial_inequality_removal,[],[f33062]) ).
thf(f33065,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 )
| ( $true
= ( b @ z @ ( s @ X0 ) ) ) )
| ~ spl0_499 ),
inference(forward_subsumption_resolution,[],[f33064,f32]) ).
thf(f33078,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_275
| ~ spl0_499 ),
inference(constrained_superposition,[],[f10975,f33065]) ).
thf(f33084,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_275
| ~ spl0_499 ),
inference(trivial_inequality_removal,[],[f33078]) ).
thf(f34655,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_133 ),
inference(constrained_superposition,[],[f63,f5319]) ).
thf(f34829,plain,
( ( ( r @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_133 ),
inference(forward_subsumption_resolution,[],[f34655,f28]) ).
thf(f34881,plain,
( $false
| ~ spl0_133 ),
inference(forward_subsumption_resolution,[],[f34829,f30]) ).
thf(f34882,plain,
~ spl0_133,
inference(avatar_contradiction_clause,[],[f34881]) ).
thf(f35219,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_59
| ~ spl0_448 ),
inference(constrained_superposition,[],[f2057,f22735]) ).
thf(f35226,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_59
| ~ spl0_448 ),
inference(trivial_inequality_removal,[],[f35219]) ).
thf(f35231,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_59
| spl0_436
| ~ spl0_448 ),
inference(forward_subsumption_resolution,[],[f35226,f24106]) ).
thf(f35233,plain,
( spl0_395
| ~ spl0_59
| spl0_436
| ~ spl0_448 ),
inference(avatar_split_clause,[],[f35231,f22734,f21938,f2056,f20322]) ).
thf(f35341,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_17
| spl0_43 ),
inference(constrained_superposition,[],[f15138,f306]) ).
thf(f35367,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_17
| spl0_43 ),
inference(trivial_inequality_removal,[],[f35341]) ).
thf(f35378,plain,
( $false
| ~ spl0_17
| spl0_43
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f35367,f1878]) ).
thf(f35379,plain,
( ~ spl0_17
| spl0_43
| spl0_53 ),
inference(avatar_contradiction_clause,[],[f35378]) ).
thf(f35629,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_8
| ~ spl0_400 ),
inference(constrained_superposition,[],[f124,f20595]) ).
thf(f35650,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f35629]) ).
thf(f35664,definition,
( spl0_738
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_738])],[avatar_definition]) ).
thf(f35665,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_738 ),
inference(avatar_component_clause,[],[f35664]) ).
thf(f35666,plain,
( spl0_738
| spl0_395
| ~ spl0_8
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f35650,f20594,f123,f20322,f35664]) ).
thf(f35726,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_10
| ~ spl0_393 ),
inference(constrained_superposition,[],[f20304,f22772]) ).
thf(f35727,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_10
| ~ spl0_275 ),
inference(constrained_superposition,[],[f10975,f22772]) ).
thf(f35733,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_10
| ~ spl0_393 ),
inference(trivial_inequality_removal,[],[f35726]) ).
thf(f35734,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_10
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f35727]) ).
thf(f35750,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f26346,f35]) ).
thf(f35759,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f35750]) ).
thf(f36117,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_371
| ~ spl0_414 ),
inference(constrained_superposition,[],[f21037,f19566]) ).
thf(f36118,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_414 ),
inference(constrained_superposition,[],[f21037,f1090]) ).
thf(f36140,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f36118]) ).
thf(f36147,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_371
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f36117]) ).
thf(f36408,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_21 ),
inference(extensionality_resolution,[],[f479,f32]) ).
thf(f36409,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_21 ),
inference(extensionality_resolution,[],[f479,f32]) ).
thf(f36424,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( ( b @ X0 @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f26507,f27]) ).
thf(f36427,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ z ) @ X0 )
= $true )
| ( z = X0 )
| ( ( b @ X0 @ z )
= $true ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f36424]) ).
thf(f36501,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_78 ),
inference(constrained_superposition,[],[f26,f2458]) ).
thf(f36511,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 )
!= $true )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) )
| ( ( r @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) )
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f36501]) ).
thf(f36625,plain,
( spl0_571
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f26863,f205,f123,f30528]) ).
thf(f36745,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true ) )
| ~ spl0_41
| ~ spl0_476 ),
inference(constrained_superposition,[],[f26419,f25539]) ).
thf(f36762,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_41
| ~ spl0_476 ),
inference(trivial_inequality_removal,[],[f36745]) ).
thf(f36763,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_41
| ~ spl0_51
| ~ spl0_476 ),
inference(forward_subsumption_resolution,[],[f36762,f26346]) ).
thf(f36764,plain,
( spl0_633
| ~ spl0_41
| ~ spl0_51
| ~ spl0_476 ),
inference(avatar_split_clause,[],[f36763,f25538,f1826,f1584,f30875]) ).
thf(f36776,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_633 ),
inference(constrained_superposition,[],[f26,f30876]) ).
thf(f36779,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_633 ),
inference(trivial_inequality_removal,[],[f36776]) ).
thf(f36789,plain,
( spl0_612
| ~ spl0_633 ),
inference(avatar_split_clause,[],[f36779,f30875,f30770]) ).
thf(f36796,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_448
| ~ spl0_612 ),
inference(constrained_superposition,[],[f30771,f22735]) ).
thf(f36812,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_448
| ~ spl0_612 ),
inference(trivial_inequality_removal,[],[f36796]) ).
thf(f36818,definition,
( spl0_746
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_746])],[avatar_definition]) ).
thf(f36819,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_746 ),
inference(avatar_component_clause,[],[f36818]) ).
thf(f36820,plain,
( spl0_406
| spl0_746
| ~ spl0_448
| ~ spl0_612 ),
inference(avatar_split_clause,[],[f36812,f30770,f22734,f36818,f20858]) ).
thf(f36997,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_72
| ~ spl0_571 ),
inference(constrained_superposition,[],[f30529,f8419]) ).
thf(f37003,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( b @ X0 @ z )
= $true )
| ( z = X0 )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_72
| ~ spl0_571 ),
inference(trivial_inequality_removal,[],[f36997]) ).
thf(f37134,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_72
| ~ spl0_471 ),
inference(constrained_superposition,[],[f24918,f8419]) ).
thf(f37148,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_72
| ~ spl0_471 ),
inference(trivial_inequality_removal,[],[f37134]) ).
thf(f37879,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ ( s @ z ) ) )
| spl0_269 ),
inference(avatar_component_clause,[],[f10926]) ).
thf(f38017,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_275
| spl0_377
| ~ spl0_499 ),
inference(forward_subsumption_resolution,[],[f33084,f24229]) ).
thf(f38019,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_72
| ~ spl0_366
| ~ spl0_471 ),
inference(forward_subsumption_resolution,[],[f37148,f19016]) ).
thf(f38024,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_10
| ~ spl0_275
| spl0_377 ),
inference(forward_subsumption_resolution,[],[f35734,f24229]) ).
thf(f38037,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_275
| spl0_461 ),
inference(forward_subsumption_resolution,[],[f27074,f24211]) ).
thf(f38043,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_275
| spl0_377
| ~ spl0_499 ),
inference(forward_subsumption_resolution,[],[f38017,f32]) ).
thf(f38044,plain,
( spl0_212
| ~ spl0_72
| ~ spl0_366
| ~ spl0_471 ),
inference(avatar_split_clause,[],[f38019,f24917,f19015,f2376,f7523]) ).
thf(f38048,definition,
( spl0_772
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_772])],[avatar_definition]) ).
thf(f38049,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_772 ),
inference(avatar_component_clause,[],[f38048]) ).
thf(f38050,plain,
( spl0_772
| spl0_383
| ~ spl0_10
| ~ spl0_275
| spl0_377 ),
inference(avatar_split_clause,[],[f38024,f19588,f10974,f202,f19657,f38048]) ).
thf(f38053,plain,
( spl0_772
| ~ spl0_275
| spl0_461 ),
inference(avatar_split_clause,[],[f38037,f24104,f10974,f38048]) ).
thf(f38055,plain,
( spl0_772
| ~ spl0_275
| spl0_377
| ~ spl0_499 ),
inference(avatar_split_clause,[],[f38043,f27871,f19588,f10974,f38048]) ).
thf(f38063,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_21
| spl0_269 ),
inference(extensionality_resolution,[],[f479,f37879]) ).
thf(f38064,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_21
| spl0_269 ),
inference(extensionality_resolution,[],[f479,f37879]) ).
thf(f38065,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_269 ),
inference(extensionality_resolution,[],[f61,f37879]) ).
thf(f38066,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_269 ),
inference(extensionality_resolution,[],[f61,f37879]) ).
thf(f38067,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_11
| spl0_269 ),
inference(extensionality_resolution,[],[f903,f37879]) ).
thf(f38071,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_11
| spl0_269 ),
inference(extensionality_resolution,[],[f366,f37879]) ).
thf(f38075,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl0_269 ),
inference(extensionality_resolution,[],[f41,f37879]) ).
thf(f38076,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| spl0_269 ),
inference(extensionality_resolution,[],[f41,f37879]) ).
thf(f38077,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_269 ),
inference(extensionality_resolution,[],[f37,f37879]) ).
thf(f38078,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_269 ),
inference(extensionality_resolution,[],[f37,f37879]) ).
thf(f38079,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_269 ),
inference(extensionality_resolution,[],[f27,f37879]) ).
thf(f38082,definition,
( spl0_773
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_773])],[avatar_definition]) ).
thf(f38083,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_773 ),
inference(avatar_component_clause,[],[f38082]) ).
thf(f38085,definition,
( spl0_774
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_774])],[avatar_definition]) ).
thf(f38086,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_774 ),
inference(avatar_component_clause,[],[f38085]) ).
thf(f38087,plain,
( spl0_773
| spl0_774
| spl0_269 ),
inference(avatar_split_clause,[],[f38065,f10926,f38085,f38082]) ).
thf(f38089,definition,
( spl0_775
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_775])],[avatar_definition]) ).
thf(f38090,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_775 ),
inference(avatar_component_clause,[],[f38089]) ).
thf(f38092,definition,
( spl0_776
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_776])],[avatar_definition]) ).
thf(f38093,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_776 ),
inference(avatar_component_clause,[],[f38092]) ).
thf(f38094,plain,
( spl0_775
| spl0_776
| spl0_269 ),
inference(avatar_split_clause,[],[f38066,f10926,f38092,f38089]) ).
thf(f38193,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_482
| ~ spl0_773 ),
inference(constrained_superposition,[],[f26735,f38083]) ).
thf(f38204,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_482
| ~ spl0_773 ),
inference(trivial_inequality_removal,[],[f38193]) ).
thf(f38212,definition,
( spl0_777
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_777])],[avatar_definition]) ).
thf(f38213,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_777 ),
inference(avatar_component_clause,[],[f38212]) ).
thf(f38223,definition,
( spl0_779
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_779])],[avatar_definition]) ).
thf(f38224,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_779 ),
inference(avatar_component_clause,[],[f38223]) ).
thf(f38227,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_482
| ~ spl0_773 ),
inference(constrained_superposition,[],[f38204,f36]) ).
thf(f38231,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_482
| ~ spl0_773 ),
inference(trivial_inequality_removal,[],[f38227]) ).
thf(f38234,plain,
( spl0_779
| ~ spl0_482
| ~ spl0_773 ),
inference(avatar_split_clause,[],[f38231,f38082,f26734,f38223]) ).
thf(f38243,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) ) )
| ~ spl0_203
| ~ spl0_779 ),
inference(constrained_superposition,[],[f26507,f38224]) ).
thf(f38260,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_203
| ~ spl0_779 ),
inference(trivial_inequality_removal,[],[f38243]) ).
thf(f38275,definition,
( spl0_782
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_782])],[avatar_definition]) ).
thf(f38276,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_782 ),
inference(avatar_component_clause,[],[f38275]) ).
thf(f38278,definition,
( spl0_783
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_783])],[avatar_definition]) ).
thf(f38279,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_783 ),
inference(avatar_component_clause,[],[f38278]) ).
thf(f38287,definition,
( spl0_785
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_785])],[avatar_definition]) ).
thf(f38288,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_785 ),
inference(avatar_component_clause,[],[f38287]) ).
thf(f38290,definition,
( spl0_786
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_786])],[avatar_definition]) ).
thf(f38291,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_786 ),
inference(avatar_component_clause,[],[f38290]) ).
thf(f38293,definition,
( spl0_787
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_787])],[avatar_definition]) ).
thf(f38294,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ~ spl0_787 ),
inference(avatar_component_clause,[],[f38293]) ).
thf(f38295,plain,
( spl0_785
| spl0_786
| spl0_787
| ~ spl0_203
| ~ spl0_779 ),
inference(avatar_split_clause,[],[f38260,f38223,f7424,f38293,f38290,f38287]) ).
thf(f38297,definition,
( spl0_788
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_788])],[avatar_definition]) ).
thf(f38298,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_788 ),
inference(avatar_component_clause,[],[f38297]) ).
thf(f38318,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_786 ),
inference(constrained_superposition,[],[f1090,f38291]) ).
thf(f38410,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_786 ),
inference(forward_subsumption_resolution,[],[f38318,f28]) ).
thf(f38451,plain,
( $false
| ~ spl0_786 ),
inference(forward_subsumption_resolution,[],[f38410,f30]) ).
thf(f38452,plain,
~ spl0_786,
inference(avatar_contradiction_clause,[],[f38451]) ).
thf(f38487,definition,
( spl0_789
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_789])],[avatar_definition]) ).
thf(f38488,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_789 ),
inference(avatar_component_clause,[],[f38487]) ).
thf(f38493,plain,
( ( $true != $true )
| ~ spl0_779
| ~ spl0_787 ),
inference(constrained_superposition,[],[f38294,f38224]) ).
thf(f38496,plain,
( $false
| ~ spl0_779
| ~ spl0_787 ),
inference(trivial_inequality_removal,[],[f38493]) ).
thf(f38497,plain,
( ~ spl0_779
| ~ spl0_787 ),
inference(avatar_contradiction_clause,[],[f38496]) ).
thf(f38516,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_789 ),
inference(constrained_superposition,[],[f49,f38488]) ).
thf(f38528,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_789 ),
inference(trivial_inequality_removal,[],[f38516]) ).
thf(f38530,definition,
( spl0_790
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_790])],[avatar_definition]) ).
thf(f38531,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_790 ),
inference(avatar_component_clause,[],[f38530]) ).
thf(f38535,definition,
( spl0_791
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_791])],[avatar_definition]) ).
thf(f38536,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_791 ),
inference(avatar_component_clause,[],[f38535]) ).
thf(f38541,definition,
( spl0_792
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_792])],[avatar_definition]) ).
thf(f38542,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_792 ),
inference(avatar_component_clause,[],[f38541]) ).
thf(f38560,definition,
( spl0_794
<=> ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_794])],[avatar_definition]) ).
thf(f38561,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_794 ),
inference(avatar_component_clause,[],[f38560]) ).
thf(f38563,definition,
( spl0_795
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_795])],[avatar_definition]) ).
thf(f38564,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_795 ),
inference(avatar_component_clause,[],[f38563]) ).
thf(f38567,definition,
( spl0_796
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_796])],[avatar_definition]) ).
thf(f38568,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_796 ),
inference(avatar_component_clause,[],[f38567]) ).
thf(f38707,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_38
| ~ spl0_788 ),
inference(constrained_superposition,[],[f1571,f38298]) ).
thf(f38719,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_38
| ~ spl0_788 ),
inference(trivial_inequality_removal,[],[f38707]) ).
thf(f38726,plain,
( spl0_796
| ~ spl0_38
| ~ spl0_788 ),
inference(avatar_split_clause,[],[f38719,f38297,f1570,f38567]) ).
thf(f38728,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_2
| ~ spl0_789 ),
inference(constrained_superposition,[],[f38528,f1090]) ).
thf(f38752,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_2
| ~ spl0_789 ),
inference(trivial_inequality_removal,[],[f38728]) ).
thf(f38758,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_2
| ~ spl0_37
| ~ spl0_789 ),
inference(forward_subsumption_resolution,[],[f38752,f1568]) ).
thf(f38759,plain,
( spl0_796
| ~ spl0_2
| ~ spl0_37
| ~ spl0_789 ),
inference(avatar_split_clause,[],[f38758,f38487,f1567,f48,f38567]) ).
thf(f38797,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_78
| ~ spl0_774 ),
inference(constrained_superposition,[],[f36511,f38086]) ).
thf(f38800,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_448
| ~ spl0_774 ),
inference(constrained_superposition,[],[f26060,f38086]) ).
thf(f38801,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_407
| ~ spl0_774 ),
inference(constrained_superposition,[],[f26300,f38086]) ).
thf(f38814,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) ) )
| ~ spl0_78
| ~ spl0_774 ),
inference(trivial_inequality_removal,[],[f38797]) ).
thf(f38817,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_407
| ~ spl0_774 ),
inference(trivial_inequality_removal,[],[f38801]) ).
thf(f38818,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_448
| ~ spl0_774 ),
inference(trivial_inequality_removal,[],[f38800]) ).
thf(f38826,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_78
| ~ spl0_397
| ~ spl0_774 ),
inference(forward_subsumption_resolution,[],[f38814,f20335]) ).
thf(f38832,definition,
( spl0_800
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_800])],[avatar_definition]) ).
thf(f38833,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_800 ),
inference(avatar_component_clause,[],[f38832]) ).
thf(f38834,plain,
( ~ spl0_800
| spl0_787
| ~ spl0_407
| ~ spl0_774 ),
inference(avatar_split_clause,[],[f38817,f38085,f20861,f38293,f38832]) ).
thf(f38836,definition,
( spl0_801
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_801])],[avatar_definition]) ).
thf(f38837,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_801 ),
inference(avatar_component_clause,[],[f38836]) ).
thf(f38838,plain,
( spl0_787
| ~ spl0_801
| ~ spl0_448
| ~ spl0_774 ),
inference(avatar_split_clause,[],[f38818,f38085,f22734,f38836,f38293]) ).
thf(f38841,plain,
( spl0_786
| spl0_406
| ~ spl0_78
| ~ spl0_397
| ~ spl0_774 ),
inference(avatar_split_clause,[],[f38826,f38085,f20334,f2457,f20858,f38290]) ).
thf(f38858,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_203
| ~ spl0_779 ),
inference(constrained_superposition,[],[f36427,f38224]) ).
thf(f38868,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_203
| ~ spl0_779 ),
inference(trivial_inequality_removal,[],[f38858]) ).
thf(f38878,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_203
| ~ spl0_779 ),
inference(forward_subsumption_resolution,[],[f38868,f32]) ).
thf(f38881,plain,
( spl0_789
| spl0_785
| spl0_786
| ~ spl0_203
| ~ spl0_779 ),
inference(avatar_split_clause,[],[f38878,f38223,f7424,f38290,f38287,f38487]) ).
thf(f38882,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_41
| ~ spl0_785 ),
inference(constrained_superposition,[],[f26419,f38288]) ).
thf(f38897,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_41
| ~ spl0_785 ),
inference(trivial_inequality_removal,[],[f38882]) ).
thf(f38934,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_79
| ~ spl0_788 ),
inference(constrained_superposition,[],[f26889,f38298]) ).
thf(f38945,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_79
| ~ spl0_788 ),
inference(trivial_inequality_removal,[],[f38934]) ).
thf(f38950,plain,
( spl0_395
| spl0_796
| ~ spl0_79
| ~ spl0_788 ),
inference(avatar_split_clause,[],[f38945,f38297,f2461,f38567,f20322]) ).
thf(f38984,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_772
| ~ spl0_783 ),
inference(constrained_superposition,[],[f38049,f38279]) ).
thf(f38994,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_772
| ~ spl0_783 ),
inference(trivial_inequality_removal,[],[f38984]) ).
thf(f39005,plain,
( $false
| ~ spl0_772
| ~ spl0_783
| ~ spl0_788 ),
inference(forward_subsumption_resolution,[],[f38994,f38298]) ).
thf(f39006,plain,
( ~ spl0_772
| ~ spl0_783
| ~ spl0_788 ),
inference(avatar_contradiction_clause,[],[f39005]) ).
thf(f39056,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
!= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_782 ),
inference(constrained_superposition,[],[f29,f38276]) ).
thf(f39138,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_782 ),
inference(equality_resolution,[],[f39056]) ).
thf(f39141,plain,
( spl0_402
| ~ spl0_782 ),
inference(avatar_split_clause,[],[f39138,f38275,f20603]) ).
thf(f39154,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_633
| spl0_801 ),
inference(constrained_superposition,[],[f38837,f30876]) ).
thf(f39156,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_51
| spl0_801 ),
inference(constrained_superposition,[],[f38837,f35759]) ).
thf(f39157,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_85
| spl0_801 ),
inference(constrained_superposition,[],[f38837,f29750]) ).
thf(f39161,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_51
| spl0_801 ),
inference(trivial_inequality_removal,[],[f39156]) ).
thf(f39162,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_633
| spl0_801 ),
inference(trivial_inequality_removal,[],[f39154]) ).
thf(f39163,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_85
| spl0_801 ),
inference(trivial_inequality_removal,[],[f39157]) ).
thf(f39166,definition,
( spl0_806
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_806])],[avatar_definition]) ).
thf(f39167,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_806 ),
inference(avatar_component_clause,[],[f39166]) ).
thf(f39170,definition,
( spl0_807
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_807])],[avatar_definition]) ).
thf(f39171,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_807 ),
inference(avatar_component_clause,[],[f39170]) ).
thf(f39172,plain,
( spl0_807
| spl0_395
| ~ spl0_51
| spl0_801 ),
inference(avatar_split_clause,[],[f39161,f38836,f1826,f20322,f39170]) ).
thf(f39173,plain,
( spl0_395
| ~ spl0_633
| spl0_801 ),
inference(avatar_split_clause,[],[f39162,f38836,f30875,f20322]) ).
thf(f39174,plain,
( spl0_786
| spl0_395
| ~ spl0_85
| spl0_801 ),
inference(avatar_split_clause,[],[f39163,f38836,f2560,f20322,f38290]) ).
thf(f39175,plain,
( ( $true != $true )
| ~ spl0_787
| ~ spl0_796 ),
inference(constrained_superposition,[],[f38294,f38568]) ).
thf(f39178,plain,
( $false
| ~ spl0_787
| ~ spl0_796 ),
inference(trivial_inequality_removal,[],[f39175]) ).
thf(f39179,plain,
( ~ spl0_787
| ~ spl0_796 ),
inference(avatar_contradiction_clause,[],[f39178]) ).
thf(f39233,plain,
( $false
| ~ spl0_774
| ~ spl0_787 ),
inference(forward_subsumption_resolution,[],[f38086,f38294]) ).
thf(f39234,plain,
( ~ spl0_774
| ~ spl0_787 ),
inference(avatar_contradiction_clause,[],[f39233]) ).
thf(f39235,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_801 ),
inference(avatar_component_clause,[],[f38836]) ).
thf(f39236,plain,
( spl0_395
| spl0_801
| ~ spl0_41
| ~ spl0_785 ),
inference(avatar_split_clause,[],[f38897,f38287,f1584,f38836,f20322]) ).
thf(f39238,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_72
| ~ spl0_366
| ~ spl0_571 ),
inference(forward_subsumption_resolution,[],[f37003,f19016]) ).
thf(f39241,plain,
( spl0_85
| ~ spl0_72
| ~ spl0_366
| ~ spl0_571 ),
inference(avatar_split_clause,[],[f39238,f30528,f19015,f2376,f2560]) ).
thf(f39349,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_7
| ~ spl0_806 ),
inference(constrained_superposition,[],[f121,f39167]) ).
thf(f39366,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_7
| ~ spl0_806 ),
inference(trivial_inequality_removal,[],[f39349]) ).
thf(f39378,definition,
( spl0_809
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_809])],[avatar_definition]) ).
thf(f39379,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_809 ),
inference(avatar_component_clause,[],[f39378]) ).
thf(f39383,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_7
| spl0_234
| ~ spl0_806 ),
inference(forward_subsumption_resolution,[],[f39366,f11569]) ).
thf(f39385,plain,
( $false
| ~ spl0_7
| spl0_234
| ~ spl0_785
| ~ spl0_806 ),
inference(forward_subsumption_resolution,[],[f39383,f38288]) ).
thf(f39386,plain,
( ~ spl0_7
| spl0_234
| ~ spl0_785
| ~ spl0_806 ),
inference(avatar_contradiction_clause,[],[f39385]) ).
thf(f39435,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_7
| ~ spl0_783 ),
inference(constrained_superposition,[],[f121,f38279]) ).
thf(f39450,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_7
| ~ spl0_783 ),
inference(trivial_inequality_removal,[],[f39435]) ).
thf(f39453,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_7
| ~ spl0_453
| ~ spl0_783 ),
inference(forward_subsumption_resolution,[],[f39450,f24394]) ).
thf(f39454,plain,
( $false
| ~ spl0_7
| ~ spl0_453
| ~ spl0_783
| spl0_800 ),
inference(forward_subsumption_resolution,[],[f39453,f38833]) ).
thf(f39455,plain,
( ~ spl0_7
| ~ spl0_453
| ~ spl0_783
| spl0_800 ),
inference(avatar_contradiction_clause,[],[f39454]) ).
thf(f39458,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_7
| ~ spl0_203
| ~ spl0_453
| ~ spl0_783 ),
inference(constrained_superposition,[],[f7425,f39453]) ).
thf(f39469,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true ) )
| ~ spl0_7
| ~ spl0_203
| ~ spl0_453
| ~ spl0_783 ),
inference(trivial_inequality_removal,[],[f39458]) ).
thf(f39490,plain,
( spl0_482
| ~ spl0_393
| ~ spl0_415 ),
inference(avatar_split_clause,[],[f26722,f21040,f20303,f26734]) ).
thf(f39505,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_35
| ~ spl0_414 ),
inference(forward_subsumption_resolution,[],[f36140,f1608]) ).
thf(f39507,plain,
( spl0_373
| spl0_372
| spl0_269 ),
inference(avatar_split_clause,[],[f38078,f10926,f19570,f19573]) ).
thf(f39509,plain,
( ~ spl0_377
| ~ spl0_371
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f36147,f21036,f19565,f19588]) ).
thf(f39511,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_442 ),
inference(avatar_component_clause,[],[f22091]) ).
thf(f39513,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| spl0_779 ),
inference(avatar_component_clause,[],[f38223]) ).
thf(f39514,plain,
( spl0_787
| ~ spl0_779
| ~ spl0_7
| ~ spl0_203
| ~ spl0_453
| ~ spl0_783 ),
inference(avatar_split_clause,[],[f39469,f38278,f23198,f7424,f120,f38223,f38293]) ).
thf(f39526,plain,
( spl0_397
| ~ spl0_35
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f39505,f21036,f1558,f20334]) ).
thf(f39540,plain,
( spl0_372
| ~ spl0_442
| ~ spl0_376
| ~ spl0_11
| spl0_269 ),
inference(avatar_split_clause,[],[f38071,f10926,f205,f19584,f22091,f19570]) ).
thf(f39543,plain,
( spl0_415
| spl0_372
| spl0_274
| ~ spl0_11
| spl0_269 ),
inference(avatar_split_clause,[],[f38067,f10926,f205,f10967,f19570,f21040]) ).
thf(f39544,plain,
( spl0_415
| spl0_395
| spl0_738
| ~ spl0_10
| ~ spl0_393 ),
inference(avatar_split_clause,[],[f35733,f20303,f202,f35664,f20322,f21040]) ).
thf(f39545,plain,
( ~ spl0_453
| spl0_407
| ~ spl0_7
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f26685,f19565,f120,f20861,f23198]) ).
thf(f39546,plain,
( spl0_407
| spl0_738
| ~ spl0_393 ),
inference(avatar_split_clause,[],[f26727,f20303,f35664,f20861]) ).
thf(f39596,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_381 ),
inference(constrained_superposition,[],[f26,f19647]) ).
thf(f39608,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f39596]) ).
thf(f39618,plain,
( spl0_517
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f39608,f19646,f28556]) ).
thf(f39686,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_461 ),
inference(constrained_superposition,[],[f26,f24105]) ).
thf(f39700,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_461 ),
inference(trivial_inequality_removal,[],[f39686]) ).
thf(f39703,plain,
( spl0_521
| ~ spl0_461 ),
inference(avatar_split_clause,[],[f39700,f24104,f28613]) ).
thf(f39704,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_442
| ~ spl0_475 ),
inference(constrained_superposition,[],[f25534,f39511]) ).
thf(f39705,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_442
| ~ spl0_499 ),
inference(constrained_superposition,[],[f27872,f39511]) ).
thf(f39707,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_413
| ~ spl0_442 ),
inference(constrained_superposition,[],[f20947,f39511]) ).
thf(f39708,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_442
| ~ spl0_480 ),
inference(constrained_superposition,[],[f25581,f39511]) ).
thf(f39718,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_442
| ~ spl0_480 ),
inference(trivial_inequality_removal,[],[f39708]) ).
thf(f39720,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_413
| ~ spl0_442 ),
inference(trivial_inequality_removal,[],[f39707]) ).
thf(f39722,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_442
| ~ spl0_475 ),
inference(trivial_inequality_removal,[],[f39704]) ).
thf(f39725,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_442
| ~ spl0_499 ),
inference(trivial_inequality_removal,[],[f39705]) ).
thf(f39731,plain,
( spl0_395
| spl0_436
| ~ spl0_442
| ~ spl0_480 ),
inference(avatar_split_clause,[],[f39718,f25580,f22091,f21938,f20322]) ).
thf(f39733,definition,
( spl0_820
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_820])],[avatar_definition]) ).
thf(f39734,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_820 ),
inference(avatar_component_clause,[],[f39733]) ).
thf(f39735,plain,
( spl0_820
| spl0_372
| ~ spl0_413
| ~ spl0_442 ),
inference(avatar_split_clause,[],[f39720,f22091,f20946,f19570,f39733]) ).
thf(f39736,plain,
( spl0_436
| ~ spl0_442
| ~ spl0_475 ),
inference(avatar_split_clause,[],[f39722,f25533,f22091,f21938]) ).
thf(f39737,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_442
| ~ spl0_499 ),
inference(forward_subsumption_resolution,[],[f39725,f32]) ).
thf(f39740,plain,
( spl0_436
| ~ spl0_442
| ~ spl0_499 ),
inference(avatar_split_clause,[],[f39737,f27871,f22091,f21938]) ).
thf(f39769,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_41
| ~ spl0_436 ),
inference(constrained_superposition,[],[f26419,f21939]) ).
thf(f39772,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_393
| ~ spl0_436 ),
inference(constrained_superposition,[],[f20304,f21939]) ).
thf(f39777,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_393
| ~ spl0_436 ),
inference(trivial_inequality_removal,[],[f39772]) ).
thf(f39780,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_41
| ~ spl0_436 ),
inference(trivial_inequality_removal,[],[f39769]) ).
thf(f39785,plain,
( spl0_738
| ~ spl0_393
| ~ spl0_436 ),
inference(avatar_split_clause,[],[f39777,f21938,f20303,f35664]) ).
thf(f39797,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_779 ),
inference(constrained_superposition,[],[f370,f38224]) ).
thf(f39814,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_779 ),
inference(trivial_inequality_removal,[],[f39797]) ).
thf(f39818,plain,
( spl0_788
| spl0_786
| ~ spl0_11
| ~ spl0_779 ),
inference(avatar_split_clause,[],[f39814,f38223,f205,f38290,f38297]) ).
thf(f39846,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_397 ),
inference(constrained_superposition,[],[f140,f20335]) ).
thf(f39855,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f39846]) ).
thf(f39883,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_276 ),
inference(constrained_superposition,[],[f10978,f1090]) ).
thf(f39898,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f39883]) ).
thf(f39976,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_372
| ~ spl0_482 ),
inference(constrained_superposition,[],[f26735,f19571]) ).
thf(f39993,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_372
| ~ spl0_482 ),
inference(trivial_inequality_removal,[],[f39976]) ).
thf(f39999,plain,
( $false
| ~ spl0_274
| ~ spl0_372
| ~ spl0_482 ),
inference(forward_subsumption_resolution,[],[f39993,f10968]) ).
thf(f40000,plain,
( ~ spl0_274
| ~ spl0_372
| ~ spl0_482 ),
inference(avatar_contradiction_clause,[],[f39999]) ).
thf(f40040,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_372
| ~ spl0_738 ),
inference(constrained_superposition,[],[f35665,f19571]) ).
thf(f40061,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_372
| ~ spl0_738 ),
inference(trivial_inequality_removal,[],[f40040]) ).
thf(f40065,plain,
( $false
| ~ spl0_372
| ~ spl0_411
| ~ spl0_738 ),
inference(forward_subsumption_resolution,[],[f40061,f20939]) ).
thf(f40066,plain,
( ~ spl0_372
| ~ spl0_411
| ~ spl0_738 ),
inference(avatar_contradiction_clause,[],[f40065]) ).
thf(f40069,plain,
( spl0_271
| spl0_375
| spl0_269 ),
inference(avatar_split_clause,[],[f38075,f10926,f19581,f10943]) ).
thf(f40070,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_35
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[],[f39898,f1608]) ).
thf(f40071,plain,
( spl0_382
| ~ spl0_35
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f40070,f10977,f1558,f19650]) ).
thf(f40072,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_397
| spl0_405 ),
inference(forward_subsumption_resolution,[],[f39855,f22534]) ).
thf(f40073,plain,
( spl0_448
| spl0_383
| ~ spl0_41
| ~ spl0_436 ),
inference(avatar_split_clause,[],[f39780,f21938,f1584,f19657,f22734]) ).
thf(f40074,plain,
( spl0_54
| ~ spl0_81
| ~ spl0_397
| spl0_405 ),
inference(avatar_split_clause,[],[f40072,f20854,f20334,f2539,f1880]) ).
thf(f40081,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_82
| ~ spl0_377 ),
inference(constrained_superposition,[],[f2543,f19589]) ).
thf(f40091,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_82
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f40081]) ).
thf(f40093,plain,
( $false
| ~ spl0_82
| spl0_269
| ~ spl0_377 ),
inference(forward_subsumption_resolution,[],[f40091,f37879]) ).
thf(f40094,plain,
( ~ spl0_82
| spl0_269
| ~ spl0_377 ),
inference(avatar_contradiction_clause,[],[f40093]) ).
thf(f40096,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_371
| ~ spl0_820 ),
inference(constrained_superposition,[],[f19566,f39734]) ).
thf(f40102,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_407
| ~ spl0_820 ),
inference(constrained_superposition,[],[f20862,f39734]) ).
thf(f40106,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_415
| ~ spl0_820 ),
inference(constrained_superposition,[],[f23702,f39734]) ).
thf(f40114,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_801
| ~ spl0_820 ),
inference(constrained_superposition,[],[f39235,f39734]) ).
thf(f40185,plain,
( $false
| ~ spl0_377
| spl0_415
| ~ spl0_820 ),
inference(forward_subsumption_resolution,[],[f40106,f19589]) ).
thf(f40186,plain,
( ~ spl0_377
| spl0_415
| ~ spl0_820 ),
inference(avatar_contradiction_clause,[],[f40185]) ).
thf(f40187,plain,
( spl0_448
| ~ spl0_801
| ~ spl0_820 ),
inference(avatar_split_clause,[],[f40114,f39733,f38836,f22734]) ).
thf(f40188,plain,
( $false
| spl0_407
| ~ spl0_461
| ~ spl0_820 ),
inference(forward_subsumption_resolution,[],[f40102,f24105]) ).
thf(f40189,plain,
( spl0_407
| ~ spl0_461
| ~ spl0_820 ),
inference(avatar_contradiction_clause,[],[f40188]) ).
thf(f40201,plain,
( $false
| ~ spl0_371
| ~ spl0_820 ),
inference(forward_subsumption_resolution,[],[f40096,f28]) ).
thf(f40202,plain,
( ~ spl0_371
| ~ spl0_820 ),
inference(avatar_contradiction_clause,[],[f40201]) ).
thf(f40242,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_85
| ~ spl0_440 ),
inference(constrained_superposition,[],[f2561,f23767]) ).
thf(f40246,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_7
| ~ spl0_440 ),
inference(constrained_superposition,[],[f121,f23767]) ).
thf(f40248,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_440
| ~ spl0_738 ),
inference(constrained_superposition,[],[f35665,f23767]) ).
thf(f40255,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_7
| ~ spl0_440 ),
inference(trivial_inequality_removal,[],[f40246]) ).
thf(f40257,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_85
| ~ spl0_440 ),
inference(trivial_inequality_removal,[],[f40242]) ).
thf(f40265,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_440
| ~ spl0_738 ),
inference(trivial_inequality_removal,[],[f40248]) ).
thf(f40266,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_7
| ~ spl0_436
| ~ spl0_440 ),
inference(forward_subsumption_resolution,[],[f40255,f21939]) ).
thf(f40267,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_85
| ~ spl0_440 ),
inference(forward_subsumption_resolution,[],[f40257,f32]) ).
thf(f40271,plain,
( $false
| ~ spl0_72
| ~ spl0_440
| ~ spl0_738 ),
inference(forward_subsumption_resolution,[],[f40265,f8419]) ).
thf(f40272,plain,
( ~ spl0_72
| ~ spl0_440
| ~ spl0_738 ),
inference(avatar_contradiction_clause,[],[f40271]) ).
thf(f40273,plain,
( $false
| ~ spl0_7
| spl0_234
| ~ spl0_436
| ~ spl0_440 ),
inference(forward_subsumption_resolution,[],[f40266,f11569]) ).
thf(f40274,plain,
( ~ spl0_7
| spl0_234
| ~ spl0_436
| ~ spl0_440 ),
inference(avatar_contradiction_clause,[],[f40273]) ).
thf(f40275,plain,
( spl0_395
| ~ spl0_85
| ~ spl0_440 ),
inference(avatar_split_clause,[],[f40267,f22031,f2560,f20322]) ).
thf(f40318,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_2
| ~ spl0_274 ),
inference(constrained_superposition,[],[f49,f10968]) ).
thf(f40323,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_2
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f40318]) ).
thf(f40325,plain,
( spl0_520
| ~ spl0_2
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f40323,f10967,f48,f28587]) ).
thf(f40326,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_375
| ~ spl0_520 ),
inference(constrained_superposition,[],[f28588,f19582]) ).
thf(f40327,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_520 ),
inference(constrained_superposition,[],[f28588,f1090]) ).
thf(f40343,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_375
| ~ spl0_520 ),
inference(trivial_inequality_removal,[],[f40326]) ).
thf(f40349,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_520 ),
inference(trivial_inequality_removal,[],[f40327]) ).
thf(f40358,plain,
( $false
| ~ spl0_37
| ~ spl0_375
| ~ spl0_520 ),
inference(forward_subsumption_resolution,[],[f40343,f1568]) ).
thf(f40359,plain,
( ~ spl0_37
| ~ spl0_375
| ~ spl0_520 ),
inference(avatar_contradiction_clause,[],[f40358]) ).
thf(f40360,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_37
| ~ spl0_520 ),
inference(forward_subsumption_resolution,[],[f40349,f1568]) ).
thf(f40361,plain,
( spl0_382
| ~ spl0_37
| ~ spl0_520 ),
inference(avatar_split_clause,[],[f40360,f28587,f1567,f19650]) ).
thf(f40362,plain,
( ~ spl0_234
| spl0_375
| ~ spl0_381
| ~ spl0_21
| spl0_269 ),
inference(avatar_split_clause,[],[f38063,f10926,f478,f19646,f19581,f9006]) ).
thf(f40363,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_43
| spl0_45 ),
inference(forward_subsumption_resolution,[],[f26365,f19435]) ).
thf(f40370,plain,
( spl0_72
| spl0_43
| spl0_45 ),
inference(avatar_split_clause,[],[f40363,f1613,f1596,f2376]) ).
thf(f40442,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true ) )
| ~ spl0_203
| ~ spl0_376 ),
inference(constrained_superposition,[],[f26507,f20873]) ).
thf(f40452,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) ) )
| ~ spl0_203
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f40442]) ).
thf(f40464,plain,
( spl0_383
| spl0_453
| spl0_389
| ~ spl0_203
| ~ spl0_376 ),
inference(avatar_split_clause,[],[f40452,f19584,f7424,f20017,f23198,f19657]) ).
thf(f40482,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_374
| ~ spl0_475 ),
inference(constrained_superposition,[],[f25534,f25445]) ).
thf(f40483,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_374
| ~ spl0_499 ),
inference(constrained_superposition,[],[f27872,f25445]) ).
thf(f40485,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_374
| ~ spl0_480 ),
inference(constrained_superposition,[],[f25581,f25445]) ).
thf(f40498,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_374
| ~ spl0_499 ),
inference(trivial_inequality_removal,[],[f40483]) ).
thf(f40500,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_374
| ~ spl0_475 ),
inference(trivial_inequality_removal,[],[f40482]) ).
thf(f40503,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_374
| ~ spl0_480 ),
inference(trivial_inequality_removal,[],[f40485]) ).
thf(f40507,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_374
| ~ spl0_499 ),
inference(forward_subsumption_resolution,[],[f40498,f32]) ).
thf(f40508,plain,
( spl0_453
| ~ spl0_374
| ~ spl0_475 ),
inference(avatar_split_clause,[],[f40500,f25533,f19577,f23198]) ).
thf(f40510,plain,
( spl0_453
| spl0_383
| ~ spl0_374
| ~ spl0_480 ),
inference(avatar_split_clause,[],[f40503,f25580,f19577,f19657,f23198]) ).
thf(f40511,plain,
( spl0_453
| ~ spl0_374
| ~ spl0_499 ),
inference(avatar_split_clause,[],[f40507,f27871,f19577,f23198]) ).
thf(f40536,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_366
| ~ spl0_405 ),
inference(constrained_superposition,[],[f24543,f20855]) ).
thf(f40544,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_366
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f40536]) ).
thf(f40548,plain,
( spl0_383
| spl0_448
| ~ spl0_366
| ~ spl0_405 ),
inference(avatar_split_clause,[],[f40544,f20854,f19015,f22734,f19657]) ).
thf(f40612,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_435 ),
inference(constrained_superposition,[],[f26,f21641]) ).
thf(f40625,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_435 ),
inference(trivial_inequality_removal,[],[f40612]) ).
thf(f40658,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_779 ),
inference(constrained_superposition,[],[f39513,f27]) ).
thf(f40659,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_779 ),
inference(trivial_inequality_removal,[],[f40658]) ).
thf(f40667,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_67 ),
inference(constrained_superposition,[],[f2249,f1090]) ).
thf(f40686,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f40667]) ).
thf(f40718,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_51
| ~ spl0_440 ),
inference(constrained_superposition,[],[f1827,f23767]) ).
thf(f40729,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_51
| ~ spl0_440 ),
inference(trivial_inequality_removal,[],[f40718]) ).
thf(f40732,plain,
( $false
| ~ spl0_51
| ~ spl0_415
| ~ spl0_440 ),
inference(forward_subsumption_resolution,[],[f40729,f21041]) ).
thf(f40733,plain,
( ~ spl0_51
| ~ spl0_415
| ~ spl0_440 ),
inference(avatar_contradiction_clause,[],[f40732]) ).
thf(f40853,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_796 ),
inference(constrained_superposition,[],[f141,f38568]) ).
thf(f40860,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_796 ),
inference(trivial_inequality_removal,[],[f40853]) ).
thf(f40907,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_371
| ~ spl0_772 ),
inference(constrained_superposition,[],[f38049,f19566]) ).
thf(f40915,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_371
| ~ spl0_772 ),
inference(trivial_inequality_removal,[],[f40907]) ).
thf(f40933,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_371
| ~ spl0_772 ),
inference(constrained_superposition,[],[f40915,f63]) ).
thf(f40934,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_29
| ~ spl0_371
| ~ spl0_772 ),
inference(constrained_superposition,[],[f40915,f26140]) ).
thf(f40938,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_11
| ~ spl0_371
| ~ spl0_772 ),
inference(constrained_superposition,[],[f40915,f617]) ).
thf(f40940,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_371
| ~ spl0_772 ),
inference(constrained_superposition,[],[f40915,f373]) ).
thf(f40942,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_11
| ~ spl0_371
| ~ spl0_772 ),
inference(trivial_inequality_removal,[],[f40940]) ).
thf(f40945,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| ~ spl0_371
| ~ spl0_772 ),
inference(trivial_inequality_removal,[],[f40938]) ).
thf(f40948,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_29
| ~ spl0_371
| ~ spl0_772 ),
inference(trivial_inequality_removal,[],[f40934]) ).
thf(f40951,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_371
| ~ spl0_772 ),
inference(trivial_inequality_removal,[],[f40933]) ).
thf(f41088,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_244 ),
inference(constrained_superposition,[],[f9650,f36]) ).
thf(f41109,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f41088]) ).
thf(f41112,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_81
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f41109,f2746]) ).
thf(f41114,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_81
| ~ spl0_244
| ~ spl0_405 ),
inference(constrained_superposition,[],[f41112,f20855]) ).
thf(f41119,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_81
| ~ spl0_244
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f41114]) ).
thf(f41122,plain,
( spl0_402
| spl0_81
| ~ spl0_244
| ~ spl0_405 ),
inference(avatar_split_clause,[],[f41119,f20854,f9649,f2539,f20603]) ).
thf(f41161,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_371 ),
inference(constrained_superposition,[],[f46,f19566]) ).
thf(f41189,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f41161]) ).
thf(f41242,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_773
| ~ spl0_791 ),
inference(constrained_superposition,[],[f38536,f38083]) ).
thf(f41244,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_1
| ~ spl0_773 ),
inference(constrained_superposition,[],[f46,f38083]) ).
thf(f41256,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_773
| ~ spl0_791 ),
inference(trivial_inequality_removal,[],[f41242]) ).
thf(f41257,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_1
| ~ spl0_773 ),
inference(trivial_inequality_removal,[],[f41244]) ).
thf(f41260,plain,
( $false
| ~ spl0_415
| ~ spl0_773
| ~ spl0_791 ),
inference(forward_subsumption_resolution,[],[f41256,f21041]) ).
thf(f41261,plain,
( ~ spl0_415
| ~ spl0_773
| ~ spl0_791 ),
inference(avatar_contradiction_clause,[],[f41260]) ).
thf(f41262,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_1
| ~ spl0_415
| ~ spl0_773 ),
inference(forward_subsumption_resolution,[],[f41257,f21041]) ).
thf(f41264,plain,
( spl0_807
| ~ spl0_1
| ~ spl0_415
| ~ spl0_773 ),
inference(avatar_split_clause,[],[f41262,f38082,f21040,f45,f39170]) ).
thf(f41284,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_792 ),
inference(constrained_superposition,[],[f1090,f38542]) ).
thf(f41350,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_792 ),
inference(forward_subsumption_resolution,[],[f41284,f28]) ).
thf(f41358,plain,
( $false
| ~ spl0_792 ),
inference(forward_subsumption_resolution,[],[f41350,f30]) ).
thf(f41359,plain,
~ spl0_792,
inference(avatar_contradiction_clause,[],[f41358]) ).
thf(f41363,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_779 ),
inference(forward_subsumption_resolution,[],[f40659,f32]) ).
thf(f41365,plain,
( spl0_789
| spl0_779 ),
inference(avatar_split_clause,[],[f41363,f38223,f38487]) ).
thf(f41376,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_475
| ~ spl0_807 ),
inference(constrained_superposition,[],[f25534,f39171]) ).
thf(f41377,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_499
| ~ spl0_807 ),
inference(constrained_superposition,[],[f27872,f39171]) ).
thf(f41379,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_480
| ~ spl0_807 ),
inference(constrained_superposition,[],[f25581,f39171]) ).
thf(f41390,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_475
| ~ spl0_807 ),
inference(trivial_inequality_removal,[],[f41376]) ).
thf(f41393,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_480
| ~ spl0_807 ),
inference(trivial_inequality_removal,[],[f41379]) ).
thf(f41395,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_499
| ~ spl0_807 ),
inference(trivial_inequality_removal,[],[f41377]) ).
thf(f41398,plain,
( spl0_785
| ~ spl0_475
| ~ spl0_807 ),
inference(avatar_split_clause,[],[f41390,f39170,f25533,f38287]) ).
thf(f41399,plain,
( spl0_785
| spl0_786
| ~ spl0_480
| ~ spl0_807 ),
inference(avatar_split_clause,[],[f41393,f39170,f25580,f38290,f38287]) ).
thf(f41400,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_499
| ~ spl0_807 ),
inference(forward_subsumption_resolution,[],[f41395,f32]) ).
thf(f41406,plain,
( spl0_785
| ~ spl0_499
| ~ spl0_807 ),
inference(avatar_split_clause,[],[f41400,f39170,f27871,f38287]) ).
thf(f41425,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_746
| ~ spl0_775 ),
inference(constrained_superposition,[],[f36819,f38090]) ).
thf(f41442,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_746
| ~ spl0_775 ),
inference(trivial_inequality_removal,[],[f41425]) ).
thf(f41448,plain,
( spl0_395
| ~ spl0_746
| ~ spl0_775 ),
inference(avatar_split_clause,[],[f41442,f38089,f36818,f20322]) ).
thf(f41449,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_414
| ~ spl0_776 ),
inference(constrained_superposition,[],[f21037,f38093]) ).
thf(f41451,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_776 ),
inference(constrained_superposition,[],[f46,f38093]) ).
thf(f41462,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_414
| ~ spl0_776 ),
inference(trivial_inequality_removal,[],[f41449]) ).
thf(f41466,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_1
| ~ spl0_776 ),
inference(trivial_inequality_removal,[],[f41451]) ).
thf(f41475,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1
| spl0_442
| ~ spl0_776 ),
inference(forward_subsumption_resolution,[],[f41466,f22092]) ).
thf(f41476,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_790 ),
inference(avatar_component_clause,[],[f38530]) ).
thf(f41478,plain,
( ~ spl0_790
| ~ spl0_1
| spl0_442
| ~ spl0_776 ),
inference(avatar_split_clause,[],[f41475,f38092,f22091,f45,f38530]) ).
thf(f41479,plain,
( ~ spl0_790
| ~ spl0_414
| ~ spl0_776 ),
inference(avatar_split_clause,[],[f41462,f38092,f21036,f38530]) ).
thf(f41480,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_790 ),
inference(constrained_superposition,[],[f41476,f35]) ).
thf(f41486,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_790 ),
inference(trivial_inequality_removal,[],[f41480]) ).
thf(f41500,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_450 ),
inference(constrained_superposition,[],[f22761,f36]) ).
thf(f41513,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_450 ),
inference(trivial_inequality_removal,[],[f41500]) ).
thf(f41525,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_37
| ~ spl0_450 ),
inference(forward_subsumption_resolution,[],[f41513,f1568]) ).
thf(f41528,plain,
( $false
| ~ spl0_37
| spl0_396
| ~ spl0_450 ),
inference(forward_subsumption_resolution,[],[f41525,f22063]) ).
thf(f41529,plain,
( ~ spl0_37
| spl0_396
| ~ spl0_450 ),
inference(avatar_contradiction_clause,[],[f41528]) ).
thf(f41585,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_794 ),
inference(constrained_superposition,[],[f38561,f1090]) ).
thf(f41587,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_789
| ~ spl0_794 ),
inference(constrained_superposition,[],[f38561,f38488]) ).
thf(f41603,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_794 ),
inference(trivial_inequality_removal,[],[f41585]) ).
thf(f41607,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_789
| ~ spl0_794 ),
inference(trivial_inequality_removal,[],[f41587]) ).
thf(f41631,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_394
| ~ spl0_776 ),
inference(constrained_superposition,[],[f20307,f38093]) ).
thf(f41633,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_394
| ~ spl0_405 ),
inference(constrained_superposition,[],[f20307,f20855]) ).
thf(f41637,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_394 ),
inference(constrained_superposition,[],[f20307,f36]) ).
thf(f41653,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f41637]) ).
thf(f41659,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_394
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f41633]) ).
thf(f41660,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_394
| ~ spl0_776 ),
inference(trivial_inequality_removal,[],[f41631]) ).
thf(f41662,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_394
| spl0_396 ),
inference(forward_subsumption_resolution,[],[f41653,f22063]) ).
thf(f41663,plain,
( ~ spl0_274
| ~ spl0_394
| ~ spl0_405 ),
inference(avatar_split_clause,[],[f41659,f20854,f20306,f10967]) ).
thf(f41664,plain,
( ~ spl0_274
| ~ spl0_394
| spl0_396 ),
inference(avatar_split_clause,[],[f41662,f20329,f20306,f10967]) ).
thf(f41670,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_394
| ~ spl0_776 ),
inference(constrained_superposition,[],[f41660,f61]) ).
thf(f41671,plain,
( ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_394
| ~ spl0_776 ),
inference(constrained_superposition,[],[f41660,f903]) ).
thf(f41672,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_394
| ~ spl0_776 ),
inference(constrained_superposition,[],[f41660,f37]) ).
thf(f41674,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_394
| ~ spl0_776 ),
inference(trivial_inequality_removal,[],[f41672]) ).
thf(f41675,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_394
| ~ spl0_776 ),
inference(trivial_inequality_removal,[],[f41670]) ).
thf(f41676,plain,
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_394
| ~ spl0_776 ),
inference(trivial_inequality_removal,[],[f41671]) ).
thf(f41679,definition,
( spl0_825
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_825])],[avatar_definition]) ).
thf(f41680,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_825 ),
inference(avatar_component_clause,[],[f41679]) ).
thf(f41681,plain,
( spl0_825
| spl0_402
| ~ spl0_394
| ~ spl0_776 ),
inference(avatar_split_clause,[],[f41674,f38092,f20306,f20603,f41679]) ).
thf(f41682,plain,
( spl0_383
| spl0_825
| ~ spl0_394
| ~ spl0_776 ),
inference(avatar_split_clause,[],[f41675,f38092,f20306,f41679,f19657]) ).
thf(f41683,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_11
| ~ spl0_394
| ~ spl0_776
| spl0_790 ),
inference(forward_subsumption_resolution,[],[f41676,f41476]) ).
thf(f41688,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_11
| spl0_274
| ~ spl0_394
| ~ spl0_776
| spl0_790 ),
inference(forward_subsumption_resolution,[],[f41683,f24238]) ).
thf(f41689,plain,
( spl0_402
| ~ spl0_11
| spl0_274
| ~ spl0_394
| ~ spl0_776
| spl0_790 ),
inference(avatar_split_clause,[],[f41688,f38530,f38092,f20306,f10967,f205,f20603]) ).
thf(f41709,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_470 ),
inference(constrained_superposition,[],[f24631,f1090]) ).
thf(f41731,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_470 ),
inference(trivial_inequality_removal,[],[f41709]) ).
thf(f41775,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_374
| ~ spl0_521 ),
inference(constrained_superposition,[],[f28614,f25445]) ).
thf(f41777,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_374
| ~ spl0_521 ),
inference(trivial_inequality_removal,[],[f41775]) ).
thf(f41780,plain,
( ! [X0: $i] :
( ( r @ z @ X0 )
!= $true )
| ~ spl0_15
| ~ spl0_374
| ~ spl0_521 ),
inference(forward_subsumption_resolution,[],[f41777,f284]) ).
thf(f41781,plain,
( spl0_278
| ~ spl0_15
| ~ spl0_374
| ~ spl0_521 ),
inference(avatar_split_clause,[],[f41780,f28613,f19577,f283,f11045]) ).
thf(f41934,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_435
| ~ spl0_775 ),
inference(constrained_superposition,[],[f40625,f38090]) ).
thf(f41939,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_435
| ~ spl0_775 ),
inference(trivial_inequality_removal,[],[f41934]) ).
thf(f41941,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_795 ),
inference(avatar_component_clause,[],[f38563]) ).
thf(f41942,plain,
( spl0_787
| ~ spl0_795
| ~ spl0_435
| ~ spl0_775 ),
inference(avatar_split_clause,[],[f41939,f38089,f21640,f38563,f38293]) ).
thf(f41946,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_271
| ~ spl0_376 ),
inference(constrained_superposition,[],[f10944,f20873]) ).
thf(f41949,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_271
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f41946]) ).
thf(f41963,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) ) )
| ~ spl0_29
| ~ spl0_38 ),
inference(constrained_superposition,[],[f1571,f26140]) ).
thf(f41972,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_29
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f41963]) ).
thf(f41984,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) ) )
| ~ spl0_29
| ~ spl0_38
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f41972,f40686]) ).
thf(f41992,plain,
( spl0_78
| ~ spl0_29
| ~ spl0_38
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f41984,f2248,f1570,f741,f2457]) ).
thf(f42045,plain,
( spl0_278
| ~ spl0_53
| ~ spl0_271
| ~ spl0_376 ),
inference(avatar_split_clause,[],[f41949,f19584,f10943,f1877,f11045]) ).
thf(f42059,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_796
| ~ spl0_807 ),
inference(forward_subsumption_resolution,[],[f40860,f39171]) ).
thf(f42075,plain,
( spl0_35
| spl0_787
| ~ spl0_796
| ~ spl0_807 ),
inference(avatar_split_clause,[],[f42059,f39170,f38567,f38293,f1558]) ).
thf(f42079,plain,
( ~ spl0_3
| ~ spl0_789
| ~ spl0_794 ),
inference(avatar_split_clause,[],[f41607,f38560,f38487,f78]) ).
thf(f42081,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_68
| ~ spl0_794 ),
inference(forward_subsumption_resolution,[],[f41603,f11573]) ).
thf(f42093,plain,
( spl0_796
| ~ spl0_68
| ~ spl0_794 ),
inference(avatar_split_clause,[],[f42081,f38560,f2309,f38567]) ).
thf(f42181,plain,
( $false
| ~ spl0_787
| ~ spl0_795 ),
inference(forward_subsumption_resolution,[],[f38564,f38294]) ).
thf(f42182,plain,
( ~ spl0_787
| ~ spl0_795 ),
inference(avatar_contradiction_clause,[],[f42181]) ).
thf(f42199,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_37
| ~ spl0_41 ),
inference(constrained_superposition,[],[f1585,f1568]) ).
thf(f42214,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_37
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f42199]) ).
thf(f42227,plain,
( $false
| ~ spl0_3
| ~ spl0_37
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f42214,f25522]) ).
thf(f42228,plain,
( ~ spl0_3
| ~ spl0_37
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f42227]) ).
thf(f42232,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_11
| ~ spl0_371
| ~ spl0_772 ),
inference(forward_subsumption_resolution,[],[f40945,f32]) ).
thf(f42237,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_11
| ~ spl0_371
| ~ spl0_772 ),
inference(forward_subsumption_resolution,[],[f40942,f32]) ).
thf(f42249,definition,
( spl0_831
<=> ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_831])],[avatar_definition]) ).
thf(f42250,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_831 ),
inference(avatar_component_clause,[],[f42249]) ).
thf(f42251,plain,
( spl0_368
| spl0_831
| spl0_269 ),
inference(avatar_split_clause,[],[f38076,f10926,f42249,f19552]) ).
thf(f42259,plain,
( spl0_368
| spl0_369
| spl0_269 ),
inference(avatar_split_clause,[],[f38079,f10926,f19555,f19552]) ).
thf(f42263,plain,
( spl0_435
| ~ spl0_371
| ~ spl0_772 ),
inference(avatar_split_clause,[],[f40951,f38048,f19565,f21640]) ).
thf(f42264,plain,
( spl0_395
| spl0_405
| ~ spl0_29
| ~ spl0_371
| ~ spl0_772 ),
inference(avatar_split_clause,[],[f40948,f38048,f19565,f741,f20854,f20322]) ).
thf(f42266,plain,
( ~ spl0_43
| spl0_368
| ~ spl0_461
| ~ spl0_21
| spl0_269 ),
inference(avatar_split_clause,[],[f38064,f10926,f478,f24104,f19552,f1596]) ).
thf(f42267,plain,
( spl0_395
| spl0_415
| ~ spl0_11
| ~ spl0_371
| ~ spl0_772 ),
inference(avatar_split_clause,[],[f42232,f38048,f19565,f205,f21040,f20322]) ).
thf(f42269,plain,
( spl0_405
| spl0_395
| ~ spl0_11
| ~ spl0_371
| ~ spl0_772 ),
inference(avatar_split_clause,[],[f42237,f38048,f19565,f205,f20322,f20854]) ).
thf(f42278,plain,
( ~ spl0_368
| spl0_397
| ~ spl0_470 ),
inference(avatar_split_clause,[],[f41731,f24630,f20334,f19552]) ).
thf(f42339,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_274 ),
inference(constrained_superposition,[],[f1540,f10968]) ).
thf(f42344,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f42339]) ).
thf(f42348,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_274
| ~ spl0_389 ),
inference(forward_subsumption_resolution,[],[f42344,f20018]) ).
thf(f42349,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_37
| ~ spl0_274
| ~ spl0_389 ),
inference(forward_subsumption_resolution,[],[f42348,f1568]) ).
thf(f42350,plain,
( spl0_275
| ~ spl0_37
| ~ spl0_274
| ~ spl0_389 ),
inference(avatar_split_clause,[],[f42349,f20017,f10967,f1567,f10974]) ).
thf(f42351,plain,
( spl0_807
| spl0_790 ),
inference(avatar_split_clause,[],[f41486,f38530,f39170]) ).
thf(f42352,plain,
( ~ spl0_377
| spl0_442
| ~ spl0_1
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f41189,f19565,f45,f22091,f19588]) ).
thf(f42437,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) ) )
| ~ spl0_203
| ~ spl0_396 ),
inference(constrained_superposition,[],[f26507,f20330]) ).
thf(f42439,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_11
| ~ spl0_396 ),
inference(constrained_superposition,[],[f370,f20330]) ).
thf(f42449,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_203
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f42437]) ).
thf(f42452,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_11
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f42439]) ).
thf(f42458,plain,
( spl0_436
| spl0_395
| spl0_406
| ~ spl0_203
| ~ spl0_396 ),
inference(avatar_split_clause,[],[f42449,f20329,f7424,f20858,f20322,f21938]) ).
thf(f42461,plain,
( spl0_398
| spl0_395
| ~ spl0_11
| ~ spl0_396 ),
inference(avatar_split_clause,[],[f42452,f20329,f205,f20322,f20586]) ).
thf(f42465,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_49
| spl0_405 ),
inference(constrained_superposition,[],[f22534,f1781]) ).
thf(f42467,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_49
| spl0_405 ),
inference(trivial_inequality_removal,[],[f42465]) ).
thf(f42470,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_49
| spl0_405 ),
inference(forward_subsumption_resolution,[],[f42467,f32]) ).
thf(f42472,plain,
( spl0_383
| ~ spl0_49
| spl0_405 ),
inference(avatar_split_clause,[],[f42470,f20854,f1780,f19657]) ).
thf(f42508,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_442 ),
inference(constrained_superposition,[],[f26,f39511]) ).
thf(f42518,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_442 ),
inference(trivial_inequality_removal,[],[f42508]) ).
thf(f42549,plain,
( $false
| ~ spl0_382
| ~ spl0_389 ),
inference(forward_subsumption_resolution,[],[f19651,f20018]) ).
thf(f42550,plain,
( ~ spl0_382
| ~ spl0_389 ),
inference(avatar_contradiction_clause,[],[f42549]) ).
thf(f42678,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_67 ),
inference(constrained_superposition,[],[f2249,f1090]) ).
thf(f42687,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f42678]) ).
thf(f42926,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_404 ),
inference(constrained_superposition,[],[f20811,f1090]) ).
thf(f42940,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_404 ),
inference(trivial_inequality_removal,[],[f42926]) ).
thf(f43027,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_738
| ~ spl0_773 ),
inference(constrained_superposition,[],[f35665,f38083]) ).
thf(f43035,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_738
| ~ spl0_773 ),
inference(trivial_inequality_removal,[],[f43027]) ).
thf(f43040,plain,
( $false
| ~ spl0_738
| ~ spl0_773
| ~ spl0_788 ),
inference(forward_subsumption_resolution,[],[f43035,f38298]) ).
thf(f43041,plain,
( ~ spl0_738
| ~ spl0_773
| ~ spl0_788 ),
inference(avatar_contradiction_clause,[],[f43040]) ).
thf(f43062,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_738
| ~ spl0_773 ),
inference(constrained_superposition,[],[f43035,f63]) ).
thf(f43072,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_738
| ~ spl0_773 ),
inference(trivial_inequality_removal,[],[f43062]) ).
thf(f43081,plain,
( spl0_795
| ~ spl0_738
| ~ spl0_773 ),
inference(avatar_split_clause,[],[f43072,f38082,f35664,f38563]) ).
thf(f43089,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_11
| ~ spl0_795 ),
inference(constrained_superposition,[],[f311,f38564]) ).
thf(f43090,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
= $true ) )
| ~ spl0_795 ),
inference(constrained_superposition,[],[f141,f38564]) ).
thf(f43099,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_11
| ~ spl0_795 ),
inference(trivial_inequality_removal,[],[f43089]) ).
thf(f43104,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_795 ),
inference(trivial_inequality_removal,[],[f43090]) ).
thf(f43108,plain,
( ~ spl0_807
| spl0_787
| ~ spl0_11
| ~ spl0_795 ),
inference(avatar_split_clause,[],[f43099,f38563,f205,f38293,f39170]) ).
thf(f43110,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| spl0_6
| ~ spl0_795 ),
inference(forward_subsumption_resolution,[],[f43104,f89]) ).
thf(f43115,plain,
( spl0_787
| ~ spl0_807
| spl0_6
| ~ spl0_795 ),
inference(avatar_split_clause,[],[f43110,f38563,f88,f39170,f38293]) ).
thf(f43119,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_791 ),
inference(constrained_superposition,[],[f38536,f1090]) ).
thf(f43143,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_791 ),
inference(trivial_inequality_removal,[],[f43119]) ).
thf(f43147,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_404
| ~ spl0_776 ),
inference(constrained_superposition,[],[f20811,f38093]) ).
thf(f43161,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_404
| ~ spl0_776 ),
inference(trivial_inequality_removal,[],[f43147]) ).
thf(f43165,plain,
( $false
| ~ spl0_404
| ~ spl0_776
| ~ spl0_785 ),
inference(forward_subsumption_resolution,[],[f43161,f38288]) ).
thf(f43166,plain,
( ~ spl0_404
| ~ spl0_776
| ~ spl0_785 ),
inference(avatar_contradiction_clause,[],[f43165]) ).
thf(f43203,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_773
| ~ spl0_794 ),
inference(constrained_superposition,[],[f38561,f38083]) ).
thf(f43219,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_773
| ~ spl0_794 ),
inference(trivial_inequality_removal,[],[f43203]) ).
thf(f43233,plain,
( $false
| ~ spl0_436
| ~ spl0_773
| ~ spl0_794 ),
inference(forward_subsumption_resolution,[],[f43219,f21939]) ).
thf(f43234,plain,
( ~ spl0_436
| ~ spl0_773
| ~ spl0_794 ),
inference(avatar_contradiction_clause,[],[f43233]) ).
thf(f43236,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_466
| ~ spl0_801 ),
inference(constrained_superposition,[],[f24246,f39235]) ).
thf(f43237,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_369
| ~ spl0_466 ),
inference(constrained_superposition,[],[f24246,f19556]) ).
thf(f43239,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_369
| ~ spl0_466 ),
inference(trivial_inequality_removal,[],[f43237]) ).
thf(f43242,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_466
| ~ spl0_801 ),
inference(trivial_inequality_removal,[],[f43236]) ).
thf(f43243,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_369
| ~ spl0_381
| ~ spl0_466 ),
inference(forward_subsumption_resolution,[],[f43239,f19647]) ).
thf(f43244,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ~ spl0_466
| ~ spl0_795
| ~ spl0_801 ),
inference(forward_subsumption_resolution,[],[f43242,f38564]) ).
thf(f43245,plain,
( spl0_389
| ~ spl0_369
| ~ spl0_381
| ~ spl0_466 ),
inference(avatar_split_clause,[],[f43243,f24245,f19646,f19555,f20017]) ).
thf(f43246,plain,
( spl0_787
| ~ spl0_466
| ~ spl0_795
| ~ spl0_801 ),
inference(avatar_split_clause,[],[f43244,f38836,f38563,f24245,f38293]) ).
thf(f43260,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_382
| ~ spl0_517 ),
inference(constrained_superposition,[],[f28557,f19651]) ).
thf(f43264,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_382
| ~ spl0_517 ),
inference(trivial_inequality_removal,[],[f43260]) ).
thf(f43271,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_67
| ~ spl0_789 ),
inference(constrained_superposition,[],[f42687,f38488]) ).
thf(f43276,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_67
| ~ spl0_789 ),
inference(trivial_inequality_removal,[],[f43271]) ).
thf(f43388,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_777 ),
inference(constrained_superposition,[],[f38213,f63]) ).
thf(f43412,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_777 ),
inference(trivial_inequality_removal,[],[f43388]) ).
thf(f43519,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_275
| ~ spl0_371 ),
inference(constrained_superposition,[],[f10975,f19566]) ).
thf(f43527,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_275
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f43519]) ).
thf(f43538,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_275
| ~ spl0_371
| ~ spl0_773 ),
inference(constrained_superposition,[],[f43527,f38083]) ).
thf(f43549,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_275
| ~ spl0_371
| ~ spl0_773 ),
inference(trivial_inequality_removal,[],[f43538]) ).
thf(f43572,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_275
| ~ spl0_371
| ~ spl0_773 ),
inference(constrained_superposition,[],[f43549,f61]) ).
thf(f43577,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_275
| ~ spl0_371
| ~ spl0_773 ),
inference(trivial_inequality_removal,[],[f43572]) ).
thf(f43581,definition,
( spl0_838
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_838])],[avatar_definition]) ).
thf(f43582,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_838 ),
inference(avatar_component_clause,[],[f43581]) ).
thf(f43584,plain,
( spl0_838
| spl0_383
| ~ spl0_275
| ~ spl0_371
| ~ spl0_773 ),
inference(avatar_split_clause,[],[f43577,f38082,f19565,f10974,f19657,f43581]) ).
thf(f43592,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_831
| ~ spl0_838 ),
inference(constrained_superposition,[],[f42250,f43582]) ).
thf(f43608,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_831
| ~ spl0_838 ),
inference(trivial_inequality_removal,[],[f43592]) ).
thf(f43618,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ~ spl0_801
| ~ spl0_831
| ~ spl0_838 ),
inference(forward_subsumption_resolution,[],[f43608,f39235]) ).
thf(f43627,plain,
( spl0_787
| ~ spl0_801
| ~ spl0_831
| ~ spl0_838 ),
inference(avatar_split_clause,[],[f43618,f43581,f42249,f38836,f38293]) ).
thf(f43629,plain,
( spl0_796
| ~ spl0_67
| ~ spl0_789 ),
inference(avatar_split_clause,[],[f43276,f38487,f2248,f38567]) ).
thf(f43632,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_403 ),
inference(avatar_component_clause,[],[f20606]) ).
thf(f43634,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_35
| ~ spl0_791 ),
inference(forward_subsumption_resolution,[],[f43143,f1608]) ).
thf(f43635,plain,
( spl0_796
| ~ spl0_35
| ~ spl0_791 ),
inference(avatar_split_clause,[],[f43634,f38535,f1558,f38567]) ).
thf(f43636,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_403 ),
inference(constrained_superposition,[],[f43632,f1090]) ).
thf(f43643,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_403 ),
inference(trivial_inequality_removal,[],[f43636]) ).
thf(f43670,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_517
| ~ spl0_825 ),
inference(constrained_superposition,[],[f28557,f41680]) ).
thf(f43684,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_517
| ~ spl0_825 ),
inference(trivial_inequality_removal,[],[f43670]) ).
thf(f43701,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_398
| ~ spl0_777 ),
inference(forward_subsumption_resolution,[],[f43412,f20587]) ).
thf(f43703,plain,
( spl0_787
| ~ spl0_795
| ~ spl0_517
| ~ spl0_825 ),
inference(avatar_split_clause,[],[f43684,f41679,f28556,f38563,f38293]) ).
thf(f43704,plain,
( spl0_795
| ~ spl0_398
| ~ spl0_777 ),
inference(avatar_split_clause,[],[f43701,f38212,f20586,f38563]) ).
thf(f43705,plain,
( spl0_54
| ~ spl0_43
| ~ spl0_382
| ~ spl0_517 ),
inference(avatar_split_clause,[],[f43264,f28556,f19650,f1596,f1880]) ).
thf(f43720,plain,
( ~ spl0_68
| spl0_397
| ~ spl0_404 ),
inference(avatar_split_clause,[],[f42940,f20810,f20334,f2309]) ).
thf(f43722,plain,
( spl0_397
| spl0_403 ),
inference(avatar_split_clause,[],[f43643,f20606,f20334]) ).
thf(f43728,plain,
( spl0_371
| spl0_370
| spl0_269 ),
inference(avatar_split_clause,[],[f38077,f10926,f19562,f19565]) ).
thf(f43731,plain,
( ( $true != $true )
| ~ spl0_15
| ~ spl0_31 ),
inference(constrained_superposition,[],[f1085,f284]) ).
thf(f43733,plain,
( $false
| ~ spl0_15
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f43731]) ).
thf(f43734,plain,
( ~ spl0_15
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f43733]) ).
thf(f43736,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_29
| ~ spl0_43 ),
inference(constrained_superposition,[],[f742,f1597]) ).
thf(f43737,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f140,f1597]) ).
thf(f43747,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_29
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f43736]) ).
thf(f43752,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f43737]) ).
thf(f43793,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_203
| ~ spl0_234 ),
inference(constrained_superposition,[],[f7425,f9007]) ).
thf(f43794,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_234 ),
inference(constrained_superposition,[],[f140,f9007]) ).
thf(f43803,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_234 ),
inference(trivial_inequality_removal,[],[f43794]) ).
thf(f43807,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_203
| ~ spl0_234 ),
inference(trivial_inequality_removal,[],[f43793]) ).
thf(f43865,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_369
| ~ spl0_521 ),
inference(constrained_superposition,[],[f28614,f19556]) ).
thf(f43879,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_369
| ~ spl0_521 ),
inference(trivial_inequality_removal,[],[f43865]) ).
thf(f43883,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_234
| ~ spl0_369
| ~ spl0_521 ),
inference(forward_subsumption_resolution,[],[f43879,f9007]) ).
thf(f43886,plain,
( spl0_54
| ~ spl0_234
| ~ spl0_369
| ~ spl0_521 ),
inference(avatar_split_clause,[],[f43883,f28613,f19555,f9006,f1880]) ).
thf(f43906,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_11
| ~ spl0_807 ),
inference(constrained_superposition,[],[f318,f39171]) ).
thf(f43913,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_807 ),
inference(trivial_inequality_removal,[],[f43906]) ).
thf(f43922,plain,
( spl0_788
| spl0_786
| spl0_787
| ~ spl0_11
| ~ spl0_807 ),
inference(avatar_split_clause,[],[f43913,f39170,f205,f38293,f38290,f38297]) ).
thf(f43980,plain,
( $false
| ~ spl0_370
| ~ spl0_406 ),
inference(forward_subsumption_resolution,[],[f19563,f20859]) ).
thf(f43981,plain,
( ~ spl0_370
| ~ spl0_406 ),
inference(avatar_contradiction_clause,[],[f43980]) ).
thf(f43990,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ~ spl0_370
| ~ spl0_640 ),
inference(constrained_superposition,[],[f30987,f19563]) ).
thf(f43991,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_370 ),
inference(constrained_superposition,[],[f140,f19563]) ).
thf(f43993,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_370 ),
inference(constrained_superposition,[],[f141,f19563]) ).
thf(f43994,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_370 ),
inference(constrained_superposition,[],[f26,f19563]) ).
thf(f44001,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_370 ),
inference(trivial_inequality_removal,[],[f43991]) ).
thf(f44004,plain,
( ( z
= ( s @ z ) )
| ~ spl0_370
| ~ spl0_640 ),
inference(trivial_inequality_removal,[],[f43990]) ).
thf(f44005,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_370 ),
inference(trivial_inequality_removal,[],[f43994]) ).
thf(f44007,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_370 ),
inference(trivial_inequality_removal,[],[f43993]) ).
thf(f44012,plain,
( $false
| ~ spl0_370
| ~ spl0_640 ),
inference(forward_subsumption_resolution,[],[f44004,f32]) ).
thf(f44013,plain,
( ~ spl0_370
| ~ spl0_640 ),
inference(avatar_contradiction_clause,[],[f44012]) ).
thf(f44047,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_51
| ~ spl0_368 ),
inference(constrained_superposition,[],[f1827,f19553]) ).
thf(f44050,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_368 ),
inference(constrained_superposition,[],[f46,f19553]) ).
thf(f44057,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_51
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f44047]) ).
thf(f44061,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f44050]) ).
thf(f44063,plain,
( $false
| ~ spl0_51
| ~ spl0_368
| ~ spl0_377 ),
inference(forward_subsumption_resolution,[],[f44057,f19589]) ).
thf(f44064,plain,
( ~ spl0_51
| ~ spl0_368
| ~ spl0_377 ),
inference(avatar_contradiction_clause,[],[f44063]) ).
thf(f44068,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| spl0_53
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f44061,f1878]) ).
thf(f44071,plain,
( $false
| ~ spl0_1
| spl0_53
| ~ spl0_368
| ~ spl0_377 ),
inference(forward_subsumption_resolution,[],[f44068,f19589]) ).
thf(f44072,plain,
( ~ spl0_1
| spl0_53
| ~ spl0_368
| ~ spl0_377 ),
inference(avatar_contradiction_clause,[],[f44071]) ).
thf(f44268,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(constrained_superposition,[],[f124,f826]) ).
thf(f44269,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f124,f63]) ).
thf(f44270,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_8
| ~ spl0_398 ),
inference(constrained_superposition,[],[f124,f20587]) ).
thf(f44272,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_8
| ~ spl0_411 ),
inference(constrained_superposition,[],[f124,f20939]) ).
thf(f44283,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_8
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f44270]) ).
thf(f44284,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f44269]) ).
thf(f44285,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f44268]) ).
thf(f44290,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_8
| ~ spl0_411 ),
inference(trivial_inequality_removal,[],[f44272]) ).
thf(f44293,plain,
( spl0_772
| ~ spl0_8
| ~ spl0_411 ),
inference(avatar_split_clause,[],[f44290,f20938,f123,f38048]) ).
thf(f44316,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_442
| ~ spl0_774 ),
inference(constrained_superposition,[],[f42518,f38086]) ).
thf(f44317,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_774 ),
inference(constrained_superposition,[],[f141,f38086]) ).
thf(f44325,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_774 ),
inference(trivial_inequality_removal,[],[f44317]) ).
thf(f44331,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_442
| ~ spl0_774 ),
inference(trivial_inequality_removal,[],[f44316]) ).
thf(f44335,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| spl0_415
| ~ spl0_774 ),
inference(forward_subsumption_resolution,[],[f44325,f23702]) ).
thf(f44342,plain,
( spl0_787
| ~ spl0_807
| ~ spl0_442
| ~ spl0_774 ),
inference(avatar_split_clause,[],[f44331,f38085,f22091,f39170,f38293]) ).
thf(f44343,plain,
( ~ spl0_807
| spl0_787
| spl0_415
| ~ spl0_774 ),
inference(avatar_split_clause,[],[f44335,f38085,f21040,f38293,f39170]) ).
thf(f44425,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_775 ),
inference(constrained_superposition,[],[f141,f38090]) ).
thf(f44437,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_775 ),
inference(trivial_inequality_removal,[],[f44425]) ).
thf(f44492,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_255
| ~ spl0_796 ),
inference(constrained_superposition,[],[f10027,f38568]) ).
thf(f44496,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_255
| ~ spl0_796 ),
inference(trivial_inequality_removal,[],[f44492]) ).
thf(f44498,plain,
( spl0_787
| ~ spl0_800
| ~ spl0_255
| ~ spl0_796 ),
inference(avatar_split_clause,[],[f44496,f38567,f10026,f38832,f38293]) ).
thf(f44539,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_809 ),
inference(constrained_superposition,[],[f39379,f36]) ).
thf(f44548,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_809 ),
inference(trivial_inequality_removal,[],[f44539]) ).
thf(f44563,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_37
| ~ spl0_809 ),
inference(forward_subsumption_resolution,[],[f44548,f1568]) ).
thf(f44566,plain,
( $false
| ~ spl0_37
| spl0_779
| ~ spl0_809 ),
inference(forward_subsumption_resolution,[],[f44563,f39513]) ).
thf(f44567,plain,
( ~ spl0_37
| spl0_779
| ~ spl0_809 ),
inference(avatar_contradiction_clause,[],[f44566]) ).
thf(f44654,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(constrained_superposition,[],[f44285,f1090]) ).
thf(f44679,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_8
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f44654]) ).
thf(f44687,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_370
| ~ spl0_831 ),
inference(constrained_superposition,[],[f42250,f19563]) ).
thf(f44689,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_370
| ~ spl0_831 ),
inference(trivial_inequality_removal,[],[f44687]) ).
thf(f44693,plain,
( spl0_406
| ~ spl0_448
| ~ spl0_370
| ~ spl0_831 ),
inference(avatar_split_clause,[],[f44689,f42249,f19562,f22734,f20858]) ).
thf(f44704,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f44284,f1090]) ).
thf(f44720,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f44704]) ).
thf(f44731,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_370
| ~ spl0_775 ),
inference(constrained_superposition,[],[f44005,f38090]) ).
thf(f44732,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_370
| ~ spl0_396 ),
inference(constrained_superposition,[],[f44005,f20330]) ).
thf(f44735,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_370
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f44732]) ).
thf(f44736,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_370
| ~ spl0_775 ),
inference(trivial_inequality_removal,[],[f44731]) ).
thf(f44738,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_838 ),
inference(avatar_component_clause,[],[f43581]) ).
thf(f44739,plain,
( spl0_787
| ~ spl0_838
| ~ spl0_370
| ~ spl0_775 ),
inference(avatar_split_clause,[],[f44736,f38089,f19562,f43581,f38293]) ).
thf(f44747,plain,
( spl0_738
| ~ spl0_8
| ~ spl0_398 ),
inference(avatar_split_clause,[],[f44283,f20586,f123,f35664]) ).
thf(f44748,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_442
| ~ spl0_775 ),
inference(forward_subsumption_resolution,[],[f44437,f39511]) ).
thf(f44750,plain,
( spl0_790
| spl0_406
| ~ spl0_442
| ~ spl0_775 ),
inference(avatar_split_clause,[],[f44748,f38089,f22091,f20858,f38530]) ).
thf(f44752,plain,
( spl0_406
| spl0_377
| ~ spl0_442
| ~ spl0_370 ),
inference(avatar_split_clause,[],[f44007,f19562,f22091,f19588,f20858]) ).
thf(f44753,plain,
( ~ spl0_374
| spl0_278
| ~ spl0_370
| ~ spl0_396 ),
inference(avatar_split_clause,[],[f44735,f20329,f19562,f11045,f19577]) ).
thf(f44917,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_67
| ~ spl0_375 ),
inference(constrained_superposition,[],[f2249,f19582]) ).
thf(f44929,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_67
| ~ spl0_375 ),
inference(trivial_inequality_removal,[],[f44917]) ).
thf(f44933,plain,
( ~ spl0_274
| ~ spl0_67
| ~ spl0_375 ),
inference(avatar_split_clause,[],[f44929,f19581,f2248,f10967]) ).
thf(f44967,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_370
| ~ spl0_397 ),
inference(constrained_superposition,[],[f44005,f20335]) ).
thf(f44985,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_370
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f44967]) ).
thf(f44989,plain,
( spl0_54
| ~ spl0_369
| ~ spl0_370
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f44985,f20334,f19562,f19555,f1880]) ).
thf(f45041,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_1
| ~ spl0_806 ),
inference(constrained_superposition,[],[f46,f39167]) ).
thf(f45046,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_806 ),
inference(constrained_superposition,[],[f44284,f39167]) ).
thf(f45047,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_11
| ~ spl0_806 ),
inference(constrained_superposition,[],[f44285,f39167]) ).
thf(f45049,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_8
| ~ spl0_11
| ~ spl0_806 ),
inference(trivial_inequality_removal,[],[f45047]) ).
thf(f45055,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_806 ),
inference(trivial_inequality_removal,[],[f45046]) ).
thf(f45059,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_806 ),
inference(trivial_inequality_removal,[],[f45041]) ).
thf(f45151,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_838 ),
inference(constrained_superposition,[],[f140,f43582]) ).
thf(f45152,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_838 ),
inference(constrained_superposition,[],[f141,f43582]) ).
thf(f45163,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_838 ),
inference(trivial_inequality_removal,[],[f45151]) ).
thf(f45166,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_838 ),
inference(trivial_inequality_removal,[],[f45152]) ).
thf(f45173,plain,
( spl0_405
| ~ spl0_376
| spl0_389
| ~ spl0_370 ),
inference(avatar_split_clause,[],[f44001,f19562,f20017,f19584,f20854]) ).
thf(f45174,plain,
( spl0_787
| spl0_377
| ~ spl0_807
| ~ spl0_838 ),
inference(avatar_split_clause,[],[f45166,f43581,f39170,f19588,f38293]) ).
thf(f45176,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1
| spl0_53
| ~ spl0_806 ),
inference(forward_subsumption_resolution,[],[f45059,f1878]) ).
thf(f45178,plain,
( ~ spl0_790
| ~ spl0_1
| spl0_53
| ~ spl0_806 ),
inference(avatar_split_clause,[],[f45176,f39166,f1877,f45,f38530]) ).
thf(f45201,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_274 ),
inference(constrained_superposition,[],[f1540,f10968]) ).
thf(f45207,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f45201]) ).
thf(f45212,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_37
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f45207,f1568]) ).
thf(f45214,plain,
( spl0_382
| spl0_275
| ~ spl0_37
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f45212,f10967,f1567,f10974,f19650]) ).
thf(f45345,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_366
| ~ spl0_806 ),
inference(constrained_superposition,[],[f19016,f39167]) ).
thf(f45364,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_366
| ~ spl0_806 ),
inference(trivial_inequality_removal,[],[f45345]) ).
thf(f45372,plain,
( $false
| ~ spl0_366
| ~ spl0_789
| ~ spl0_806 ),
inference(forward_subsumption_resolution,[],[f45364,f38488]) ).
thf(f45373,plain,
( ~ spl0_366
| ~ spl0_789
| ~ spl0_806 ),
inference(avatar_contradiction_clause,[],[f45372]) ).
thf(f45412,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_67
| ~ spl0_403 ),
inference(constrained_superposition,[],[f2249,f20607]) ).
thf(f45423,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_67
| ~ spl0_403 ),
inference(trivial_inequality_removal,[],[f45412]) ).
thf(f45433,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_440
| ~ spl0_482 ),
inference(constrained_superposition,[],[f26735,f23767]) ).
thf(f45444,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_440
| ~ spl0_482 ),
inference(trivial_inequality_removal,[],[f45433]) ).
thf(f45450,plain,
( $false
| ~ spl0_37
| ~ spl0_440
| ~ spl0_482 ),
inference(forward_subsumption_resolution,[],[f45444,f1568]) ).
thf(f45451,plain,
( ~ spl0_37
| ~ spl0_440
| ~ spl0_482 ),
inference(avatar_contradiction_clause,[],[f45450]) ).
thf(f45509,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f49,f36]) ).
thf(f45515,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f45509]) ).
thf(f45590,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f45515,f63]) ).
thf(f45610,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f45590]) ).
thf(f45638,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_774 ),
inference(constrained_superposition,[],[f140,f38086]) ).
thf(f45646,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_774 ),
inference(trivial_inequality_removal,[],[f45638]) ).
thf(f45664,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_366
| ~ spl0_806
| ~ spl0_838 ),
inference(forward_subsumption_resolution,[],[f45163,f45364]) ).
thf(f45665,plain,
( ~ spl0_405
| ~ spl0_67
| ~ spl0_403 ),
inference(avatar_split_clause,[],[f45423,f20606,f2248,f20854]) ).
thf(f45673,plain,
( ~ spl0_376
| spl0_389
| ~ spl0_366
| ~ spl0_806
| ~ spl0_838 ),
inference(avatar_split_clause,[],[f45664,f43581,f39166,f19015,f20017,f19584]) ).
thf(f45678,plain,
( ~ spl0_396
| spl0_789
| spl0_406
| ~ spl0_774 ),
inference(avatar_split_clause,[],[f45646,f38085,f20858,f38487,f20329]) ).
thf(f45681,plain,
( spl0_38
| spl0_37
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f44679,f205,f123,f1567,f1570]) ).
thf(f45683,plain,
( spl0_795
| ~ spl0_72
| ~ spl0_8
| ~ spl0_806 ),
inference(avatar_split_clause,[],[f45055,f39166,f123,f2376,f38563]) ).
thf(f45684,plain,
( ~ spl0_72
| spl0_789
| ~ spl0_8
| ~ spl0_11
| ~ spl0_806 ),
inference(avatar_split_clause,[],[f45049,f39166,f205,f123,f38487,f2376]) ).
thf(f45688,plain,
( spl0_37
| ~ spl0_29
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f43747,f1596,f741,f1567]) ).
thf(f45690,plain,
( spl0_54
| ~ spl0_81
| ~ spl0_203
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f43807,f9006,f7424,f2539,f1880]) ).
thf(f45691,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| spl0_3
| ~ spl0_234 ),
inference(forward_subsumption_resolution,[],[f43803,f79]) ).
thf(f45692,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_15
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f43752,f284]) ).
thf(f45697,plain,
( ~ spl0_81
| spl0_54
| spl0_3
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f45691,f9006,f78,f1880,f2539]) ).
thf(f45698,plain,
( spl0_37
| spl0_31
| ~ spl0_15
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f45692,f1596,f283,f1084,f1567]) ).
thf(f45703,plain,
( spl0_38
| spl0_43
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f44720,f123,f1596,f1570]) ).
thf(f45711,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_81
| ~ spl0_466 ),
inference(constrained_superposition,[],[f24246,f2540]) ).
thf(f45713,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_81
| ~ spl0_203 ),
inference(constrained_superposition,[],[f26507,f2540]) ).
thf(f45715,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_81 ),
inference(constrained_superposition,[],[f370,f2540]) ).
thf(f45721,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_81
| ~ spl0_203 ),
inference(constrained_superposition,[],[f36427,f2540]) ).
thf(f45722,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f45715]) ).
thf(f45725,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_81
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f45721]) ).
thf(f45728,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_81
| ~ spl0_466 ),
inference(trivial_inequality_removal,[],[f45711]) ).
thf(f45729,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_81
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f45713]) ).
thf(f45735,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_11
| spl0_45
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[],[f45722,f19435]) ).
thf(f45736,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_45
| ~ spl0_81
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f45725,f19435]) ).
thf(f45738,plain,
( ! [X0: $i] :
( ( r @ z @ X0 )
!= $true )
| ~ spl0_11
| ~ spl0_81
| ~ spl0_466 ),
inference(forward_subsumption_resolution,[],[f45728,f302]) ).
thf(f45739,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) )
| spl0_45
| ~ spl0_81
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f45729,f19435]) ).
thf(f45741,plain,
( spl0_72
| ~ spl0_11
| spl0_45
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f45735,f2539,f1613,f205,f2376]) ).
thf(f45742,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_37
| spl0_45
| ~ spl0_81
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f45736,f8323]) ).
thf(f45743,plain,
( spl0_278
| ~ spl0_11
| ~ spl0_81
| ~ spl0_466 ),
inference(avatar_split_clause,[],[f45738,f24245,f2539,f205,f11045]) ).
thf(f45744,plain,
( spl0_68
| spl0_54
| spl0_45
| ~ spl0_81
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f45739,f7424,f2539,f1613,f1880,f2309]) ).
thf(f45745,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_37
| spl0_45
| ~ spl0_81
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f45742,f32]) ).
thf(f45746,plain,
( spl0_68
| spl0_37
| spl0_45
| ~ spl0_81
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f45745,f7424,f2539,f1613,f1567,f2309]) ).
thf(f45799,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_29
| ~ spl0_381 ),
inference(constrained_superposition,[],[f742,f19647]) ).
thf(f45809,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_29
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f45799]) ).
thf(f45825,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_405 ),
inference(constrained_superposition,[],[f49,f20855]) ).
thf(f45830,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f45825]) ).
thf(f45890,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_368
| ~ spl0_772 ),
inference(constrained_superposition,[],[f38049,f19553]) ).
thf(f45899,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_368
| ~ spl0_772 ),
inference(trivial_inequality_removal,[],[f45890]) ).
thf(f45905,plain,
( $false
| ~ spl0_72
| ~ spl0_368
| ~ spl0_772 ),
inference(forward_subsumption_resolution,[],[f45899,f8419]) ).
thf(f45906,plain,
( ~ spl0_72
| ~ spl0_368
| ~ spl0_772 ),
inference(avatar_contradiction_clause,[],[f45905]) ).
thf(f45992,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_370
| ~ spl0_435 ),
inference(constrained_superposition,[],[f44005,f21641]) ).
thf(f46003,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_370
| ~ spl0_435 ),
inference(trivial_inequality_removal,[],[f45992]) ).
thf(f46017,plain,
( ~ spl0_461
| spl0_31
| ~ spl0_370
| ~ spl0_435 ),
inference(avatar_split_clause,[],[f46003,f21640,f19562,f1084,f24104]) ).
thf(f46084,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_2
| ~ spl0_789 ),
inference(constrained_superposition,[],[f49,f38488]) ).
thf(f46088,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_789 ),
inference(trivial_inequality_removal,[],[f46084]) ).
thf(f46101,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_403 ),
inference(constrained_superposition,[],[f44284,f20607]) ).
thf(f46108,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_8
| ~ spl0_403 ),
inference(trivial_inequality_removal,[],[f46101]) ).
thf(f46114,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_8
| spl0_43
| ~ spl0_403 ),
inference(forward_subsumption_resolution,[],[f46108,f15138]) ).
thf(f46120,definition,
( spl0_851
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_851])],[avatar_definition]) ).
thf(f46121,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_851 ),
inference(avatar_component_clause,[],[f46120]) ).
thf(f46127,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_8
| spl0_43
| ~ spl0_403 ),
inference(constrained_superposition,[],[f46114,f63]) ).
thf(f46136,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_8
| spl0_43
| ~ spl0_403 ),
inference(trivial_inequality_removal,[],[f46127]) ).
thf(f46244,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_11
| ~ spl0_79 ),
inference(constrained_superposition,[],[f2462,f903]) ).
thf(f46263,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ X0 ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_11
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f46244]) ).
thf(f46314,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_520 ),
inference(constrained_superposition,[],[f28588,f63]) ).
thf(f46328,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_520 ),
inference(trivial_inequality_removal,[],[f46314]) ).
thf(f46339,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_801 ),
inference(constrained_superposition,[],[f140,f39235]) ).
thf(f46350,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_801 ),
inference(trivial_inequality_removal,[],[f46339]) ).
thf(f46412,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_783 ),
inference(constrained_superposition,[],[f45515,f38279]) ).
thf(f46413,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_473
| ~ spl0_783 ),
inference(constrained_superposition,[],[f25444,f38279]) ).
thf(f46421,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_783 ),
inference(trivial_inequality_removal,[],[f46412]) ).
thf(f46426,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_473
| ~ spl0_783 ),
inference(trivial_inequality_removal,[],[f46413]) ).
thf(f46430,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_274
| ~ spl0_783 ),
inference(forward_subsumption_resolution,[],[f46421,f10968]) ).
thf(f46432,plain,
( $false
| ~ spl0_473
| ~ spl0_783
| ~ spl0_789 ),
inference(forward_subsumption_resolution,[],[f46426,f38488]) ).
thf(f46433,plain,
( ~ spl0_473
| ~ spl0_783
| ~ spl0_789 ),
inference(avatar_contradiction_clause,[],[f46432]) ).
thf(f46438,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true ) )
| spl0_37
| ~ spl0_801 ),
inference(forward_subsumption_resolution,[],[f46350,f8323]) ).
thf(f46439,plain,
( spl0_779
| ~ spl0_2
| ~ spl0_274
| ~ spl0_783 ),
inference(avatar_split_clause,[],[f46430,f38278,f10967,f48,f38223]) ).
thf(f46441,plain,
( spl0_787
| ~ spl0_779
| spl0_37
| ~ spl0_801 ),
inference(avatar_split_clause,[],[f46438,f38836,f1567,f38223,f38293]) ).
thf(f46445,plain,
( spl0_435
| ~ spl0_8
| spl0_43
| ~ spl0_403 ),
inference(avatar_split_clause,[],[f46136,f20606,f1596,f123,f21640]) ).
thf(f46463,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_461 ),
inference(constrained_superposition,[],[f140,f24105]) ).
thf(f46470,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_461 ),
inference(trivial_inequality_removal,[],[f46463]) ).
thf(f46484,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_368 ),
inference(constrained_superposition,[],[f45515,f19553]) ).
thf(f46492,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f46484]) ).
thf(f46911,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_789 ),
inference(constrained_superposition,[],[f46088,f63]) ).
thf(f46933,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_789 ),
inference(trivial_inequality_removal,[],[f46911]) ).
thf(f46945,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_405
| ~ spl0_776 ),
inference(constrained_superposition,[],[f45830,f38093]) ).
thf(f46964,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_405
| ~ spl0_776 ),
inference(trivial_inequality_removal,[],[f46945]) ).
thf(f46968,plain,
( $false
| ~ spl0_2
| ~ spl0_405
| ~ spl0_776
| ~ spl0_789 ),
inference(forward_subsumption_resolution,[],[f46964,f38488]) ).
thf(f46969,plain,
( ~ spl0_2
| ~ spl0_405
| ~ spl0_776
| ~ spl0_789 ),
inference(avatar_contradiction_clause,[],[f46968]) ).
thf(f46974,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_785 ),
inference(avatar_component_clause,[],[f38287]) ).
thf(f46979,plain,
( spl0_262
| spl0_35
| ~ spl0_11
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f46263,f2461,f205,f1558,f10294]) ).
thf(f46995,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f26,f10423]) ).
thf(f47002,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f46995]) ).
thf(f47009,plain,
( spl0_522
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f47002,f1877,f28647]) ).
thf(f47175,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_783
| ~ spl0_789 ),
inference(constrained_superposition,[],[f46088,f38279]) ).
thf(f47186,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_783
| ~ spl0_789 ),
inference(trivial_inequality_removal,[],[f47175]) ).
thf(f47193,plain,
( $false
| ~ spl0_2
| ~ spl0_274
| ~ spl0_783
| ~ spl0_789 ),
inference(forward_subsumption_resolution,[],[f47186,f10968]) ).
thf(f47194,plain,
( ~ spl0_2
| ~ spl0_274
| ~ spl0_783
| ~ spl0_789 ),
inference(avatar_contradiction_clause,[],[f47193]) ).
thf(f47196,plain,
( spl0_3
| ~ spl0_376
| spl0_389
| ~ spl0_461 ),
inference(avatar_split_clause,[],[f46470,f24104,f20017,f19584,f78]) ).
thf(f47199,plain,
( spl0_4
| ~ spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f45610,f48,f78,f81]) ).
thf(f47200,plain,
( ~ spl0_11
| spl0_10
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f36409,f478,f202,f205]) ).
thf(f47202,plain,
( spl0_274
| ~ spl0_29
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f45809,f19646,f741,f10967]) ).
thf(f47210,plain,
( ~ spl0_3
| spl0_795
| ~ spl0_2
| ~ spl0_789 ),
inference(avatar_split_clause,[],[f46933,f38487,f48,f38563,f78]) ).
thf(f47211,plain,
( ~ spl0_15
| spl0_29
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f36408,f478,f741,f283]) ).
thf(f47215,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( ( b @ z @ ( s @ z ) )
= $true )
| spl0_11 ),
inference(constrained_superposition,[],[f206,f27]) ).
thf(f47216,plain,
( ( ( b @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_11 ),
inference(trivial_inequality_removal,[],[f47215]) ).
thf(f47217,plain,
( ( ( b @ z @ ( s @ z ) )
= $true )
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f47216,f32]) ).
thf(f47218,plain,
( spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f47217,f205,f88]) ).
thf(f47225,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(constrained_superposition,[],[f49,f25522]) ).
thf(f47230,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_2
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f47225]) ).
thf(f47232,plain,
( spl0_514
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f47230,f78,f48,f28465]) ).
thf(f47471,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_372 ),
inference(constrained_superposition,[],[f1540,f19571]) ).
thf(f47476,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_372 ),
inference(trivial_inequality_removal,[],[f47471]) ).
thf(f47483,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_372
| ~ spl0_440 ),
inference(forward_subsumption_resolution,[],[f47476,f23767]) ).
thf(f47485,plain,
( spl0_382
| spl0_275
| ~ spl0_372
| ~ spl0_440 ),
inference(avatar_split_clause,[],[f47483,f22031,f19570,f10974,f19650]) ).
thf(f47490,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_838 ),
inference(constrained_superposition,[],[f140,f43582]) ).
thf(f47498,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_838 ),
inference(trivial_inequality_removal,[],[f47490]) ).
thf(f47569,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_773 ),
inference(constrained_superposition,[],[f45515,f38083]) ).
thf(f47575,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_773 ),
inference(trivial_inequality_removal,[],[f47569]) ).
thf(f47581,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_776 ),
inference(constrained_superposition,[],[f45515,f38093]) ).
thf(f47586,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_776 ),
inference(trivial_inequality_removal,[],[f47581]) ).
thf(f47619,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_50 ),
inference(constrained_superposition,[],[f1824,f35]) ).
thf(f47623,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_50
| ~ spl0_375 ),
inference(constrained_superposition,[],[f1824,f19582]) ).
thf(f47626,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_50 ),
inference(constrained_superposition,[],[f1824,f64]) ).
thf(f47631,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f47619]) ).
thf(f47632,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_50
| ~ spl0_375 ),
inference(trivial_inequality_removal,[],[f47623]) ).
thf(f47634,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_50 ),
inference(trivial_inequality_removal,[],[f47626]) ).
thf(f47637,plain,
( spl0_519
| ~ spl0_50
| ~ spl0_375 ),
inference(avatar_split_clause,[],[f47632,f19581,f1823,f28570]) ).
thf(f47642,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_371
| ~ spl0_519 ),
inference(constrained_superposition,[],[f28571,f19566]) ).
thf(f47649,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_371
| ~ spl0_519 ),
inference(trivial_inequality_removal,[],[f47642]) ).
thf(f47654,plain,
( $false
| ~ spl0_371
| ~ spl0_403
| ~ spl0_519 ),
inference(forward_subsumption_resolution,[],[f47649,f20607]) ).
thf(f47655,plain,
( ~ spl0_371
| ~ spl0_403
| ~ spl0_519 ),
inference(avatar_contradiction_clause,[],[f47654]) ).
thf(f47657,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_520 ),
inference(forward_subsumption_resolution,[],[f46328,f25522]) ).
thf(f47659,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_376
| ~ spl0_838 ),
inference(forward_subsumption_resolution,[],[f47498,f20873]) ).
thf(f47661,plain,
( spl0_53
| spl0_67
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f47631,f1823,f2248,f1877]) ).
thf(f47662,plain,
( spl0_234
| spl0_79
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f47634,f1823,f2461,f9006]) ).
thf(f47664,plain,
( spl0_381
| ~ spl0_3
| ~ spl0_520 ),
inference(avatar_split_clause,[],[f47657,f28587,f78,f19646]) ).
thf(f47665,plain,
( spl0_389
| spl0_789
| ~ spl0_376
| ~ spl0_838 ),
inference(avatar_split_clause,[],[f47659,f43581,f19584,f38487,f20017]) ).
thf(f47669,plain,
( spl0_396
| ~ spl0_789
| ~ spl0_2
| ~ spl0_776 ),
inference(avatar_split_clause,[],[f47586,f38092,f48,f38487,f20329]) ).
thf(f47671,plain,
( spl0_779
| ~ spl0_405
| ~ spl0_2
| ~ spl0_773 ),
inference(avatar_split_clause,[],[f47575,f38082,f48,f20854,f38223]) ).
thf(f47764,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_2
| ~ spl0_405 ),
inference(constrained_superposition,[],[f49,f20855]) ).
thf(f47768,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ z )
!= $true ) )
| ~ spl0_2
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f47764]) ).
thf(f47847,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_482 ),
inference(constrained_superposition,[],[f26735,f64]) ).
thf(f47854,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_482 ),
inference(trivial_inequality_removal,[],[f47847]) ).
thf(f47862,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_405 ),
inference(constrained_superposition,[],[f47768,f63]) ).
thf(f47876,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f47862]) ).
thf(f47909,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_371
| ~ spl0_450 ),
inference(constrained_superposition,[],[f22761,f19566]) ).
thf(f47910,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_450
| ~ spl0_776 ),
inference(constrained_superposition,[],[f22761,f38093]) ).
thf(f47925,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_371
| ~ spl0_450 ),
inference(trivial_inequality_removal,[],[f47909]) ).
thf(f47926,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_450
| ~ spl0_776 ),
inference(trivial_inequality_removal,[],[f47910]) ).
thf(f47927,plain,
( $false
| ~ spl0_368
| ~ spl0_371
| ~ spl0_450 ),
inference(forward_subsumption_resolution,[],[f47925,f19553]) ).
thf(f47928,plain,
( ~ spl0_368
| ~ spl0_371
| ~ spl0_450 ),
inference(avatar_contradiction_clause,[],[f47927]) ).
thf(f47929,plain,
( $false
| ~ spl0_450
| ~ spl0_776
| ~ spl0_806 ),
inference(forward_subsumption_resolution,[],[f47926,f39167]) ).
thf(f47930,plain,
( ~ spl0_450
| ~ spl0_776
| ~ spl0_806 ),
inference(avatar_contradiction_clause,[],[f47929]) ).
thf(f47932,plain,
( $false
| spl0_234
| ~ spl0_348 ),
inference(forward_subsumption_resolution,[],[f11569,f18608]) ).
thf(f47933,plain,
( spl0_234
| ~ spl0_348 ),
inference(avatar_contradiction_clause,[],[f47932]) ).
thf(f48024,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_519
| ~ spl0_783 ),
inference(constrained_superposition,[],[f28571,f38279]) ).
thf(f48033,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_519
| ~ spl0_783 ),
inference(trivial_inequality_removal,[],[f48024]) ).
thf(f48036,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_519
| ~ spl0_783 ),
inference(constrained_superposition,[],[f48033,f1090]) ).
thf(f48038,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_519
| ~ spl0_783 ),
inference(constrained_superposition,[],[f48033,f37]) ).
thf(f48040,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_519
| ~ spl0_783 ),
inference(trivial_inequality_removal,[],[f48036]) ).
thf(f48042,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_519
| ~ spl0_783 ),
inference(trivial_inequality_removal,[],[f48038]) ).
thf(f48044,plain,
( spl0_796
| ~ spl0_519
| ~ spl0_783 ),
inference(avatar_split_clause,[],[f48040,f38278,f28570,f38567]) ).
thf(f48049,plain,
( spl0_796
| spl0_395
| ~ spl0_519
| ~ spl0_783 ),
inference(avatar_split_clause,[],[f48042,f38278,f28570,f20322,f38567]) ).
thf(f48185,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_783
| ~ spl0_809 ),
inference(constrained_superposition,[],[f39379,f38279]) ).
thf(f48187,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_788
| ~ spl0_809 ),
inference(constrained_superposition,[],[f39379,f38298]) ).
thf(f48188,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_809 ),
inference(constrained_superposition,[],[f39379,f63]) ).
thf(f48195,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_783
| ~ spl0_809 ),
inference(trivial_inequality_removal,[],[f48185]) ).
thf(f48196,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_809 ),
inference(trivial_inequality_removal,[],[f48188]) ).
thf(f48197,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_788
| ~ spl0_809 ),
inference(trivial_inequality_removal,[],[f48187]) ).
thf(f48202,plain,
( $false
| ~ spl0_368
| ~ spl0_783
| ~ spl0_809 ),
inference(forward_subsumption_resolution,[],[f48195,f19553]) ).
thf(f48203,plain,
( ~ spl0_368
| ~ spl0_783
| ~ spl0_809 ),
inference(avatar_contradiction_clause,[],[f48202]) ).
thf(f48204,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_795
| ~ spl0_809 ),
inference(forward_subsumption_resolution,[],[f48196,f41941]) ).
thf(f48205,plain,
( $false
| ~ spl0_72
| ~ spl0_788
| ~ spl0_809 ),
inference(forward_subsumption_resolution,[],[f48197,f8419]) ).
thf(f48206,plain,
( ~ spl0_72
| ~ spl0_788
| ~ spl0_809 ),
inference(avatar_contradiction_clause,[],[f48205]) ).
thf(f48207,plain,
( $false
| ~ spl0_72
| spl0_795
| ~ spl0_809 ),
inference(forward_subsumption_resolution,[],[f48204,f8419]) ).
thf(f48208,plain,
( ~ spl0_72
| spl0_795
| ~ spl0_809 ),
inference(avatar_contradiction_clause,[],[f48207]) ).
thf(f48209,plain,
( ~ spl0_3
| spl0_407
| ~ spl0_482 ),
inference(avatar_split_clause,[],[f47854,f26734,f20861,f78]) ).
thf(f48210,plain,
( ~ spl0_3
| spl0_435
| ~ spl0_2
| ~ spl0_405 ),
inference(avatar_split_clause,[],[f47876,f20854,f48,f21640,f78]) ).
thf(f48252,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_43
| ~ spl0_202 ),
inference(constrained_superposition,[],[f7414,f1597]) ).
thf(f48260,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_43
| ~ spl0_202 ),
inference(trivial_inequality_removal,[],[f48252]) ).
thf(f48266,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ~ spl0_15
| ~ spl0_43
| ~ spl0_202 ),
inference(forward_subsumption_resolution,[],[f48260,f284]) ).
thf(f48269,plain,
( spl0_31
| ~ spl0_15
| ~ spl0_43
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f48266,f7413,f1596,f283,f1084]) ).
thf(f48323,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_453 ),
inference(constrained_superposition,[],[f45515,f24394]) ).
thf(f48328,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_453 ),
inference(trivial_inequality_removal,[],[f48323]) ).
thf(f48336,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f7462,f63]) ).
thf(f48344,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f48336]) ).
thf(f48355,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_206
| ~ spl0_398 ),
inference(constrained_superposition,[],[f7462,f20587]) ).
thf(f48362,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_206
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f48355]) ).
thf(f48365,plain,
( $false
| ~ spl0_206
| ~ spl0_398
| ~ spl0_405 ),
inference(forward_subsumption_resolution,[],[f48362,f20855]) ).
thf(f48366,plain,
( ~ spl0_206
| ~ spl0_398
| ~ spl0_405 ),
inference(avatar_contradiction_clause,[],[f48365]) ).
thf(f48369,plain,
( ~ spl0_274
| spl0_81
| ~ spl0_2
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f46492,f19552,f48,f2539,f10967]) ).
thf(f48455,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_396 ),
inference(constrained_superposition,[],[f26,f20330]) ).
thf(f48459,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X0 @ z )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_396 ),
inference(trivial_inequality_removal,[],[f48455]) ).
thf(f48472,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_442 ),
inference(constrained_superposition,[],[f26,f39511]) ).
thf(f48477,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_442 ),
inference(trivial_inequality_removal,[],[f48472]) ).
thf(f48514,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_435 ),
inference(constrained_superposition,[],[f140,f21641]) ).
thf(f48527,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_435 ),
inference(trivial_inequality_removal,[],[f48514]) ).
thf(f48537,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_274
| ~ spl0_453 ),
inference(forward_subsumption_resolution,[],[f48328,f10968]) ).
thf(f48539,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| spl0_405
| ~ spl0_435 ),
inference(forward_subsumption_resolution,[],[f48527,f22534]) ).
thf(f48540,plain,
( spl0_15
| ~ spl0_2
| ~ spl0_274
| ~ spl0_453 ),
inference(avatar_split_clause,[],[f48537,f23198,f10967,f48,f283]) ).
thf(f48542,plain,
( ~ spl0_15
| spl0_31
| spl0_405
| ~ spl0_435 ),
inference(avatar_split_clause,[],[f48539,f21640,f20854,f1084,f283]) ).
thf(f48654,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_514
| ~ spl0_785 ),
inference(constrained_superposition,[],[f28466,f38288]) ).
thf(f48663,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_514
| ~ spl0_785 ),
inference(trivial_inequality_removal,[],[f48654]) ).
thf(f48668,plain,
( $false
| ~ spl0_514
| ~ spl0_785
| ~ spl0_789 ),
inference(forward_subsumption_resolution,[],[f48663,f38488]) ).
thf(f48669,plain,
( ~ spl0_514
| ~ spl0_785
| ~ spl0_789 ),
inference(avatar_contradiction_clause,[],[f48668]) ).
thf(f48674,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_785 ),
inference(constrained_superposition,[],[f46974,f64]) ).
thf(f48679,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_785 ),
inference(trivial_inequality_removal,[],[f48674]) ).
thf(f48737,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_276 ),
inference(constrained_superposition,[],[f10978,f63]) ).
thf(f48742,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f48737]) ).
thf(f48767,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_235
| ~ spl0_403 ),
inference(constrained_superposition,[],[f9010,f20607]) ).
thf(f48778,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_235
| ~ spl0_403 ),
inference(trivial_inequality_removal,[],[f48767]) ).
thf(f48779,plain,
( $false
| ~ spl0_235
| ~ spl0_403
| ~ spl0_436 ),
inference(forward_subsumption_resolution,[],[f48778,f21939]) ).
thf(f48780,plain,
( ~ spl0_235
| ~ spl0_403
| ~ spl0_436 ),
inference(avatar_contradiction_clause,[],[f48779]) ).
thf(f48795,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_371 ),
inference(constrained_superposition,[],[f1540,f19566]) ).
thf(f48802,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f48795]) ).
thf(f48812,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_372 ),
inference(constrained_superposition,[],[f1540,f19571]) ).
thf(f48816,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_372 ),
inference(constrained_superposition,[],[f31,f19571]) ).
thf(f48818,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_372 ),
inference(trivial_inequality_removal,[],[f48816]) ).
thf(f48823,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_372 ),
inference(trivial_inequality_removal,[],[f48812]) ).
thf(f48824,plain,
( spl0_275
| spl0_394
| ~ spl0_372 ),
inference(avatar_split_clause,[],[f48818,f19570,f20306,f10974]) ).
thf(f48978,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_776 ),
inference(constrained_superposition,[],[f31,f38093]) ).
thf(f48983,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_776 ),
inference(trivial_inequality_removal,[],[f48978]) ).
thf(f48985,plain,
( spl0_777
| spl0_393
| ~ spl0_776 ),
inference(avatar_split_clause,[],[f48983,f38092,f20303,f38212]) ).
thf(f48989,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_371
| ~ spl0_851 ),
inference(constrained_superposition,[],[f46121,f19566]) ).
thf(f49001,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_371
| ~ spl0_851 ),
inference(trivial_inequality_removal,[],[f48989]) ).
thf(f49005,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_371
| ~ spl0_851 ),
inference(constrained_superposition,[],[f49001,f1090]) ).
thf(f49009,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_371
| ~ spl0_851 ),
inference(trivial_inequality_removal,[],[f49005]) ).
thf(f49013,plain,
( spl0_382
| ~ spl0_371
| ~ spl0_851 ),
inference(avatar_split_clause,[],[f49009,f46120,f19565,f19650]) ).
thf(f49029,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_50
| ~ spl0_403 ),
inference(constrained_superposition,[],[f1824,f20607]) ).
thf(f49037,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_50
| ~ spl0_403 ),
inference(trivial_inequality_removal,[],[f49029]) ).
thf(f49044,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_50
| ~ spl0_372
| ~ spl0_403 ),
inference(constrained_superposition,[],[f49037,f19571]) ).
thf(f49052,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_50
| ~ spl0_372
| ~ spl0_403 ),
inference(trivial_inequality_removal,[],[f49044]) ).
thf(f49086,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_50
| ~ spl0_372
| ~ spl0_403 ),
inference(constrained_superposition,[],[f49052,f1090]) ).
thf(f49088,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_50
| ~ spl0_372
| ~ spl0_403 ),
inference(constrained_superposition,[],[f49052,f37]) ).
thf(f49091,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_50
| ~ spl0_372
| ~ spl0_403 ),
inference(trivial_inequality_removal,[],[f49088]) ).
thf(f49092,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_50
| ~ spl0_372
| ~ spl0_403 ),
inference(trivial_inequality_removal,[],[f49086]) ).
thf(f49095,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_45
| ~ spl0_50
| ~ spl0_372
| ~ spl0_403 ),
inference(forward_subsumption_resolution,[],[f49091,f19435]) ).
thf(f49096,plain,
( spl0_382
| ~ spl0_50
| ~ spl0_372
| ~ spl0_403 ),
inference(avatar_split_clause,[],[f49092,f20606,f19570,f1823,f19650]) ).
thf(f49099,plain,
( spl0_382
| spl0_45
| ~ spl0_50
| ~ spl0_372
| ~ spl0_403 ),
inference(avatar_split_clause,[],[f49095,f20606,f19570,f1823,f1613,f19650]) ).
thf(f49113,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_382 ),
inference(constrained_superposition,[],[f140,f19651]) ).
thf(f49114,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_382
| ~ spl0_522 ),
inference(constrained_superposition,[],[f28648,f19651]) ).
thf(f49115,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_382 ),
inference(constrained_superposition,[],[f141,f19651]) ).
thf(f49121,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_382 ),
inference(trivial_inequality_removal,[],[f49115]) ).
thf(f49122,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_382 ),
inference(trivial_inequality_removal,[],[f49113]) ).
thf(f49126,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_382
| ~ spl0_522 ),
inference(trivial_inequality_removal,[],[f49114]) ).
thf(f49149,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_50
| ~ spl0_403
| ~ spl0_773 ),
inference(constrained_superposition,[],[f49037,f38083]) ).
thf(f49158,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_50
| ~ spl0_403
| ~ spl0_773 ),
inference(trivial_inequality_removal,[],[f49149]) ).
thf(f49160,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_50
| ~ spl0_403
| ~ spl0_773 ),
inference(constrained_superposition,[],[f49158,f1090]) ).
thf(f49164,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_50
| ~ spl0_403
| ~ spl0_773 ),
inference(trivial_inequality_removal,[],[f49160]) ).
thf(f49206,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_521
| ~ spl0_838 ),
inference(constrained_superposition,[],[f28614,f43582]) ).
thf(f49210,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_521
| ~ spl0_838 ),
inference(trivial_inequality_removal,[],[f49206]) ).
thf(f49211,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ~ spl0_521
| spl0_785
| ~ spl0_838 ),
inference(forward_subsumption_resolution,[],[f49210,f48679]) ).
thf(f49212,plain,
( spl0_787
| ~ spl0_521
| spl0_785
| ~ spl0_838 ),
inference(avatar_split_clause,[],[f49211,f43581,f38287,f28613,f38293]) ).
thf(f49213,plain,
( ~ spl0_800
| spl0_787
| ~ spl0_521
| ~ spl0_838 ),
inference(avatar_split_clause,[],[f49210,f43581,f28613,f38293,f38832]) ).
thf(f49217,plain,
( spl0_796
| ~ spl0_50
| ~ spl0_403
| ~ spl0_773 ),
inference(avatar_split_clause,[],[f49164,f38082,f20606,f1823,f38567]) ).
thf(f49243,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_369 ),
inference(constrained_superposition,[],[f140,f19556]) ).
thf(f49245,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_369 ),
inference(constrained_superposition,[],[f141,f19556]) ).
thf(f49252,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f49243]) ).
thf(f49256,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f49245]) ).
thf(f49341,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_838 ),
inference(constrained_superposition,[],[f44738,f27]) ).
thf(f49342,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_838 ),
inference(trivial_inequality_removal,[],[f49341]) ).
thf(f49343,plain,
( spl0_783
| spl0_782
| spl0_838 ),
inference(avatar_split_clause,[],[f49342,f43581,f38275,f38278]) ).
thf(f49366,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_396
| ~ spl0_775 ),
inference(constrained_superposition,[],[f48459,f38090]) ).
thf(f49367,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_775 ),
inference(constrained_superposition,[],[f140,f38090]) ).
thf(f49376,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true ) )
| ~ spl0_775 ),
inference(trivial_inequality_removal,[],[f49367]) ).
thf(f49379,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_396
| ~ spl0_775 ),
inference(trivial_inequality_removal,[],[f49366]) ).
thf(f49382,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true ) )
| spl0_405
| ~ spl0_775 ),
inference(forward_subsumption_resolution,[],[f49376,f22534]) ).
thf(f49383,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ~ spl0_396
| ~ spl0_775
| ~ spl0_779 ),
inference(forward_subsumption_resolution,[],[f49379,f38224]) ).
thf(f49384,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| spl0_405
| ~ spl0_775
| ~ spl0_779 ),
inference(forward_subsumption_resolution,[],[f49382,f38224]) ).
thf(f49385,plain,
( spl0_787
| ~ spl0_396
| ~ spl0_775
| ~ spl0_779 ),
inference(avatar_split_clause,[],[f49383,f38223,f38089,f20329,f38293]) ).
thf(f49386,plain,
( spl0_787
| spl0_405
| ~ spl0_775
| ~ spl0_779 ),
inference(avatar_split_clause,[],[f49384,f38223,f38089,f20854,f38293]) ).
thf(f49388,plain,
( spl0_389
| ~ spl0_374
| ~ spl0_382
| ~ spl0_522 ),
inference(avatar_split_clause,[],[f49126,f28647,f19650,f19577,f20017]) ).
thf(f49389,plain,
( ~ spl0_376
| spl0_37
| spl0_389
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f49252,f19555,f20017,f1567,f19584]) ).
thf(f49391,plain,
( spl0_274
| spl0_54
| ~ spl0_81
| ~ spl0_382 ),
inference(avatar_split_clause,[],[f49122,f19650,f2539,f1880,f10967]) ).
thf(f49392,plain,
( spl0_389
| spl0_35
| ~ spl0_374
| ~ spl0_382 ),
inference(avatar_split_clause,[],[f49121,f19650,f19577,f1558,f20017]) ).
thf(f49393,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[],[f48742,f2086]) ).
thf(f49394,plain,
( spl0_377
| spl0_54
| ~ spl0_53
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f49256,f19555,f1877,f1880,f19588]) ).
thf(f49396,plain,
( spl0_381
| ~ spl0_6
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f49393,f10977,f88,f19646]) ).
thf(f49401,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_37
| ~ spl0_206 ),
inference(constrained_superposition,[],[f48344,f1568]) ).
thf(f49407,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_37 ),
inference(constrained_superposition,[],[f31,f1568]) ).
thf(f49409,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f49407]) ).
thf(f49413,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_37
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f49401]) ).
thf(f49416,plain,
( spl0_51
| spl0_50
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f49409,f1567,f1823,f1826]) ).
thf(f49417,plain,
( spl0_43
| ~ spl0_37
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f49413,f7461,f1567,f1596]) ).
thf(f49608,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_206
| ~ spl0_788 ),
inference(constrained_superposition,[],[f7462,f38298]) ).
thf(f49611,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_206
| ~ spl0_788 ),
inference(trivial_inequality_removal,[],[f49608]) ).
thf(f49646,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true ) )
| ~ spl0_825 ),
inference(constrained_superposition,[],[f140,f41680]) ).
thf(f49647,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_825 ),
inference(constrained_superposition,[],[f141,f41680]) ).
thf(f49652,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_825 ),
inference(trivial_inequality_removal,[],[f49647]) ).
thf(f49657,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true ) )
| ~ spl0_825 ),
inference(trivial_inequality_removal,[],[f49646]) ).
thf(f49658,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_374
| ~ spl0_825 ),
inference(forward_subsumption_resolution,[],[f49652,f25445]) ).
thf(f49661,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true ) )
| spl0_274
| ~ spl0_825 ),
inference(forward_subsumption_resolution,[],[f49657,f24238]) ).
thf(f49662,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_374
| spl0_790
| ~ spl0_825 ),
inference(forward_subsumption_resolution,[],[f49658,f41476]) ).
thf(f49663,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| spl0_274
| ~ spl0_779
| ~ spl0_825 ),
inference(forward_subsumption_resolution,[],[f49661,f38224]) ).
thf(f49664,plain,
( spl0_389
| ~ spl0_374
| spl0_790
| ~ spl0_825 ),
inference(avatar_split_clause,[],[f49662,f41679,f38530,f19577,f20017]) ).
thf(f49665,plain,
( spl0_787
| spl0_274
| ~ spl0_779
| ~ spl0_825 ),
inference(avatar_split_clause,[],[f49663,f41679,f38223,f10967,f38293]) ).
thf(f49666,plain,
( spl0_382
| ~ spl0_440
| spl0_275
| ~ spl0_372 ),
inference(avatar_split_clause,[],[f48823,f19570,f10974,f22031,f19650]) ).
thf(f49667,plain,
( spl0_393
| spl0_397
| ~ spl0_368
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f48802,f19565,f19552,f20334,f20303]) ).
thf(f49669,plain,
( ~ spl0_789
| ~ spl0_206
| ~ spl0_788 ),
inference(avatar_split_clause,[],[f49611,f38297,f7461,f38487]) ).
thf(f49691,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X1 )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f148,f10423]) ).
thf(f49696,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ z @ X1 )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( z = X1 )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f49691]) ).
thf(f49699,plain,
( spl0_55
| spl0_266
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f49696,f1877,f10453,f1886]) ).
thf(f49712,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_381 ),
inference(constrained_superposition,[],[f140,f19647]) ).
thf(f49713,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ z @ ( s @ z ) )
= $true ) )
| ~ spl0_381 ),
inference(constrained_superposition,[],[f141,f19647]) ).
thf(f49719,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f49713]) ).
thf(f49721,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f49712]) ).
thf(f49751,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_368 ),
inference(constrained_superposition,[],[f74,f19553]) ).
thf(f49752,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_368 ),
inference(constrained_superposition,[],[f31,f19553]) ).
thf(f49753,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f49751]) ).
thf(f49755,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f49752]) ).
thf(f49756,plain,
( spl0_378
| spl0_50
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f49755,f19552,f1823,f19635]) ).
thf(f49766,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_407 ),
inference(constrained_superposition,[],[f20862,f27]) ).
thf(f49767,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_407 ),
inference(trivial_inequality_removal,[],[f49766]) ).
thf(f49768,plain,
( spl0_395
| spl0_436
| spl0_407 ),
inference(avatar_split_clause,[],[f49767,f20861,f21938,f20322]) ).
thf(f49784,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_436 ),
inference(constrained_superposition,[],[f31,f21939]) ).
thf(f49787,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_436 ),
inference(trivial_inequality_removal,[],[f49784]) ).
thf(f49790,plain,
( spl0_8
| spl0_404
| ~ spl0_436 ),
inference(avatar_split_clause,[],[f49787,f21938,f20810,f123]) ).
thf(f49795,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_206
| ~ spl0_789 ),
inference(constrained_superposition,[],[f48344,f38488]) ).
thf(f49798,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_206
| ~ spl0_789 ),
inference(trivial_inequality_removal,[],[f49795]) ).
thf(f49802,plain,
( spl0_795
| ~ spl0_206
| ~ spl0_789 ),
inference(avatar_split_clause,[],[f49798,f38487,f7461,f38563]) ).
thf(f49820,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_397 ),
inference(constrained_superposition,[],[f141,f20335]) ).
thf(f49826,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f49820]) ).
thf(f49832,plain,
( ! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_397
| ~ spl0_442 ),
inference(forward_subsumption_resolution,[],[f49826,f39511]) ).
thf(f49837,plain,
( spl0_35
| spl0_406
| ~ spl0_397
| ~ spl0_442 ),
inference(avatar_split_clause,[],[f49832,f22091,f20334,f20858,f1558]) ).
thf(f49841,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f31,f1608]) ).
thf(f49843,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f49841]) ).
thf(f49846,plain,
( spl0_2
| spl0_51
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f49843,f1558,f1826,f48]) ).
thf(f49883,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_108
| spl0_779 ),
inference(constrained_superposition,[],[f39513,f4116]) ).
thf(f49885,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_108
| spl0_779 ),
inference(trivial_inequality_removal,[],[f49883]) ).
thf(f49887,plain,
( $false
| ~ spl0_108
| spl0_779 ),
inference(forward_subsumption_resolution,[],[f49885,f32]) ).
thf(f49888,plain,
( ~ spl0_108
| spl0_779 ),
inference(avatar_contradiction_clause,[],[f49887]) ).
thf(f49920,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_440 ),
inference(constrained_superposition,[],[f22032,f37]) ).
thf(f49924,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_440 ),
inference(trivial_inequality_removal,[],[f49920]) ).
thf(f49927,plain,
( spl0_448
| spl0_383
| spl0_440 ),
inference(avatar_split_clause,[],[f49924,f22031,f19657,f22734]) ).
thf(f49929,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_442
| ~ spl0_448 ),
inference(constrained_superposition,[],[f48477,f22735]) ).
thf(f49930,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_448 ),
inference(constrained_superposition,[],[f141,f22735]) ).
thf(f49937,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_442
| ~ spl0_448 ),
inference(trivial_inequality_removal,[],[f49929]) ).
thf(f49939,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_448 ),
inference(trivial_inequality_removal,[],[f49930]) ).
thf(f49942,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_53
| ~ spl0_442
| ~ spl0_448 ),
inference(forward_subsumption_resolution,[],[f49937,f10423]) ).
thf(f49944,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_53
| ~ spl0_448 ),
inference(forward_subsumption_resolution,[],[f49939,f10423]) ).
thf(f49946,plain,
( spl0_54
| ~ spl0_53
| ~ spl0_442
| ~ spl0_448 ),
inference(avatar_split_clause,[],[f49942,f22734,f22091,f1877,f1880]) ).
thf(f49947,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_53
| spl0_415
| ~ spl0_448 ),
inference(forward_subsumption_resolution,[],[f49944,f23702]) ).
thf(f49948,plain,
( spl0_54
| ~ spl0_53
| spl0_415
| ~ spl0_448 ),
inference(avatar_split_clause,[],[f49947,f22734,f21040,f1877,f1880]) ).
thf(f49972,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_405 ),
inference(constrained_superposition,[],[f1540,f20855]) ).
thf(f49975,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f49972]) ).
thf(f50049,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_403 ),
inference(constrained_superposition,[],[f74,f20607]) ).
thf(f50053,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_403 ),
inference(trivial_inequality_removal,[],[f50049]) ).
thf(f50058,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_440 ),
inference(constrained_superposition,[],[f31,f23767]) ).
thf(f50059,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_440 ),
inference(trivial_inequality_removal,[],[f50058]) ).
thf(f50062,plain,
( spl0_450
| spl0_50
| ~ spl0_440 ),
inference(avatar_split_clause,[],[f50059,f22031,f1823,f22760]) ).
thf(f50065,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_795 ),
inference(constrained_superposition,[],[f41941,f27]) ).
thf(f50066,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_795 ),
inference(trivial_inequality_removal,[],[f50065]) ).
thf(f50067,plain,
( spl0_788
| spl0_786
| spl0_795 ),
inference(avatar_split_clause,[],[f50066,f38563,f38290,f38297]) ).
thf(f50132,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_373 ),
inference(constrained_superposition,[],[f140,f19574]) ).
thf(f50133,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_373 ),
inference(constrained_superposition,[],[f141,f19574]) ).
thf(f50141,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_373 ),
inference(trivial_inequality_removal,[],[f50132]) ).
thf(f50143,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_373 ),
inference(trivial_inequality_removal,[],[f50133]) ).
thf(f50147,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_801 ),
inference(constrained_superposition,[],[f141,f39235]) ).
thf(f50152,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_801 ),
inference(trivial_inequality_removal,[],[f50147]) ).
thf(f50158,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_53
| ~ spl0_801 ),
inference(forward_subsumption_resolution,[],[f50152,f10423]) ).
thf(f50163,plain,
( spl0_54
| spl0_790
| ~ spl0_53
| ~ spl0_801 ),
inference(avatar_split_clause,[],[f50158,f38836,f1877,f38530,f1880]) ).
thf(f50165,plain,
( spl0_43
| spl0_851
| spl0_41
| ~ spl0_403 ),
inference(avatar_split_clause,[],[f50053,f20606,f1584,f46120,f1596]) ).
thf(f50167,plain,
( ~ spl0_15
| spl0_31
| spl0_274
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f49721,f19646,f10967,f1084,f283]) ).
thf(f50173,plain,
( ~ spl0_374
| spl0_389
| spl0_6
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f49719,f19646,f88,f20017,f19577]) ).
thf(f50184,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ z @ X0 ) )
| ( z = X0 )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( b @ ( s @ z ) @ X1 )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f148,f284]) ).
thf(f50188,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ z @ X0 ) )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( b @ ( s @ z ) @ X1 )
= $true )
| ( ( s @ z )
= X1 )
| ( z = X0 ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f50184]) ).
thf(f50192,plain,
( spl0_480
| spl0_26
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f50188,f283,f678,f25580]) ).
thf(f50212,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_72 ),
inference(constrained_superposition,[],[f31,f8419]) ).
thf(f50214,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_72 ),
inference(trivial_inequality_removal,[],[f50212]) ).
thf(f50215,plain,
( spl0_41
| spl0_50
| ~ spl0_72 ),
inference(avatar_split_clause,[],[f50214,f2376,f1823,f1584]) ).
thf(f50250,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f74,f11573]) ).
thf(f50251,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f31,f11573]) ).
thf(f50253,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f50251]) ).
thf(f50254,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f50250]) ).
thf(f50255,plain,
( spl0_8
| spl0_41
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f50253,f2309,f1584,f123]) ).
thf(f50282,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_435 ),
inference(constrained_superposition,[],[f22966,f27]) ).
thf(f50283,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_435 ),
inference(trivial_inequality_removal,[],[f50282]) ).
thf(f50284,plain,
( spl0_395
| spl0_398
| spl0_435 ),
inference(avatar_split_clause,[],[f50283,f21640,f20586,f20322]) ).
thf(f50296,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_790 ),
inference(constrained_superposition,[],[f31,f38531]) ).
thf(f50297,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_790 ),
inference(trivial_inequality_removal,[],[f50296]) ).
thf(f50300,plain,
( spl0_791
| spl0_2
| ~ spl0_790 ),
inference(avatar_split_clause,[],[f50297,f38530,f48,f38535]) ).
thf(f50305,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_800 ),
inference(constrained_superposition,[],[f38833,f27]) ).
thf(f50306,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_800 ),
inference(trivial_inequality_removal,[],[f50305]) ).
thf(f50307,plain,
( spl0_785
| spl0_786
| spl0_800 ),
inference(avatar_split_clause,[],[f50306,f38832,f38290,f38287]) ).
thf(f50310,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_785 ),
inference(constrained_superposition,[],[f31,f38288]) ).
thf(f50312,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_785 ),
inference(trivial_inequality_removal,[],[f50310]) ).
thf(f50315,plain,
( spl0_794
| spl0_8
| ~ spl0_785 ),
inference(avatar_split_clause,[],[f50312,f38287,f123,f38560]) ).
thf(f50343,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_796 ),
inference(constrained_superposition,[],[f140,f38568]) ).
thf(f50354,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_796 ),
inference(trivial_inequality_removal,[],[f50343]) ).
thf(f50361,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_414 ),
inference(constrained_superposition,[],[f21037,f63]) ).
thf(f50368,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f50361]) ).
thf(f50474,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_783
| ~ spl0_791 ),
inference(constrained_superposition,[],[f38536,f38279]) ).
thf(f50477,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_791 ),
inference(constrained_superposition,[],[f38536,f63]) ).
thf(f50483,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_783
| ~ spl0_791 ),
inference(trivial_inequality_removal,[],[f50474]) ).
thf(f50489,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_791 ),
inference(trivial_inequality_removal,[],[f50477]) ).
thf(f50497,plain,
( spl0_43
| spl0_235
| spl0_41
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f50254,f2309,f1584,f9009,f1596]) ).
thf(f50498,plain,
( ~ spl0_6
| spl0_435
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f50368,f21036,f21640,f88]) ).
thf(f50499,plain,
( ~ spl0_377
| ~ spl0_783
| ~ spl0_791 ),
inference(avatar_split_clause,[],[f50483,f38535,f38278,f19588]) ).
thf(f50500,plain,
( spl0_393
| ~ spl0_37
| spl0_397
| ~ spl0_405 ),
inference(avatar_split_clause,[],[f49975,f20854,f20334,f1567,f20303]) ).
thf(f50503,plain,
( spl0_54
| ~ spl0_81
| spl0_789
| ~ spl0_796 ),
inference(avatar_split_clause,[],[f50354,f38567,f38487,f2539,f1880]) ).
thf(f50510,plain,
( ~ spl0_6
| spl0_795
| ~ spl0_791 ),
inference(avatar_split_clause,[],[f50489,f38535,f38563,f88]) ).
thf(f50513,plain,
( spl0_406
| ~ spl0_396
| spl0_274
| ~ spl0_373 ),
inference(avatar_split_clause,[],[f50141,f19573,f10967,f20329,f20858]) ).
thf(f50514,plain,
( spl0_415
| ~ spl0_374
| spl0_389
| ~ spl0_373 ),
inference(avatar_split_clause,[],[f50143,f19573,f20017,f19577,f21040]) ).
thf(f50527,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f31,f25522]) ).
thf(f50528,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f50527]) ).
thf(f50530,plain,
( spl0_8
| spl0_13
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f50528,f78,f275,f123]) ).
thf(f50539,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( b @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_81 ),
inference(constrained_superposition,[],[f148,f2540]) ).
thf(f50540,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( z = X0 )
| ( ( b @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_81 ),
inference(constrained_superposition,[],[f665,f2540]) ).
thf(f50542,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X1 )
| ( $true
!= ( r @ z @ X1 ) )
| ( z = X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( $true
= ( b @ z @ X0 ) ) )
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f50539]) ).
thf(f50544,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ X0 @ z )
= $true )
| ( $true
= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f50540]) ).
thf(f50546,plain,
( spl0_26
| spl0_228
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f50542,f2539,f8424,f678]) ).
thf(f50547,plain,
( spl0_55
| spl0_66
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f50544,f2539,f2245,f1886]) ).
thf(f50585,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_377 ),
inference(constrained_superposition,[],[f31,f19589]) ).
thf(f50586,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f50585]) ).
thf(f50589,plain,
( spl0_2
| spl0_276
| ~ spl0_377 ),
inference(avatar_split_clause,[],[f50586,f19588,f10977,f48]) ).
thf(f50592,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_274 ),
inference(constrained_superposition,[],[f31,f10968]) ).
thf(f50594,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f50592]) ).
thf(f50596,plain,
( spl0_276
| spl0_275
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f50594,f10967,f10974,f10977]) ).
thf(f50602,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
= $true )
| ( ( s @ z )
= X1 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_234 ),
inference(constrained_superposition,[],[f148,f9007]) ).
thf(f50606,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
= $true )
| ( ( s @ z )
= X1 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_234 ),
inference(trivial_inequality_removal,[],[f50602]) ).
thf(f50611,plain,
( spl0_55
| spl0_59
| ~ spl0_234 ),
inference(avatar_split_clause,[],[f50606,f9006,f2056,f1886]) ).
thf(f50665,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_453 ),
inference(constrained_superposition,[],[f31,f24394]) ).
thf(f50666,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_453 ),
inference(trivial_inequality_removal,[],[f50665]) ).
thf(f50669,plain,
( spl0_8
| spl0_380
| ~ spl0_453 ),
inference(avatar_split_clause,[],[f50666,f23198,f19643,f123]) ).
thf(f50674,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_13
| ~ spl0_785 ),
inference(constrained_superposition,[],[f276,f38288]) ).
thf(f50675,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_13
| ~ spl0_453 ),
inference(constrained_superposition,[],[f276,f24394]) ).
thf(f50681,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_13
| ~ spl0_785 ),
inference(trivial_inequality_removal,[],[f50674]) ).
thf(f50685,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_13
| ~ spl0_453 ),
inference(trivial_inequality_removal,[],[f50675]) ).
thf(f50689,plain,
( $false
| ~ spl0_13
| ~ spl0_377
| ~ spl0_453 ),
inference(forward_subsumption_resolution,[],[f50685,f19589]) ).
thf(f50690,plain,
( ~ spl0_13
| ~ spl0_377
| ~ spl0_453 ),
inference(avatar_contradiction_clause,[],[f50689]) ).
thf(f50691,plain,
( spl0_380
| spl0_381
| spl0_379
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f49753,f19552,f19639,f19646,f19643]) ).
thf(f50692,plain,
( ~ spl0_790
| ~ spl0_13
| ~ spl0_785 ),
inference(avatar_split_clause,[],[f50681,f38287,f275,f38530]) ).
thf(f50714,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_405 ),
inference(constrained_superposition,[],[f31,f20855]) ).
thf(f50716,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f50714]) ).
thf(f50718,plain,
( spl0_393
| spl0_414
| ~ spl0_405 ),
inference(avatar_split_clause,[],[f50716,f20854,f21036,f20303]) ).
thf(f50729,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_411 ),
inference(constrained_superposition,[],[f54,f20939]) ).
thf(f50730,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_411 ),
inference(constrained_superposition,[],[f31,f20939]) ).
thf(f50731,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_411 ),
inference(trivial_inequality_removal,[],[f50730]) ).
thf(f50733,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_411 ),
inference(trivial_inequality_removal,[],[f50729]) ).
thf(f50734,plain,
( spl0_380
| spl0_275
| ~ spl0_411 ),
inference(avatar_split_clause,[],[f50731,f20938,f10974,f19643]) ).
thf(f50736,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_376
| ~ spl0_411 ),
inference(forward_subsumption_resolution,[],[f50733,f19585]) ).
thf(f50737,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_6
| spl0_376
| ~ spl0_411 ),
inference(forward_subsumption_resolution,[],[f50736,f2086]) ).
thf(f50738,plain,
( spl0_275
| ~ spl0_6
| spl0_376
| ~ spl0_411 ),
inference(avatar_split_clause,[],[f50737,f20938,f19584,f88,f10974]) ).
thf(f50741,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl0_415 ),
inference(constrained_superposition,[],[f31,f21041]) ).
thf(f50743,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X2 @ z ) ) )
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f50741]) ).
thf(f50746,plain,
( spl0_2
| spl0_414
| ~ spl0_415 ),
inference(avatar_split_clause,[],[f50743,f21040,f21036,f48]) ).
thf(f50774,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_398 ),
inference(constrained_superposition,[],[f1540,f20587]) ).
thf(f50778,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f50774]) ).
thf(f50781,plain,
( ~ spl0_72
| spl0_397
| spl0_393
| ~ spl0_398 ),
inference(avatar_split_clause,[],[f50778,f20586,f20303,f20334,f2376]) ).
thf(f50835,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl0_403 ),
inference(constrained_superposition,[],[f31,f20607]) ).
thf(f50837,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_403 ),
inference(trivial_inequality_removal,[],[f50835]) ).
thf(f50840,plain,
( spl0_450
| spl0_393
| ~ spl0_403 ),
inference(avatar_split_clause,[],[f50837,f20606,f20303,f22760]) ).
thf(f50863,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_371 ),
inference(constrained_superposition,[],[f74,f19566]) ).
thf(f50864,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_371 ),
inference(constrained_superposition,[],[f31,f19566]) ).
thf(f50865,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f50863]) ).
thf(f50868,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f50864]) ).
thf(f50869,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_371
| spl0_381 ),
inference(forward_subsumption_resolution,[],[f50865,f20898]) ).
thf(f50871,plain,
( spl0_394
| spl0_393
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f50868,f19565,f20303,f20306]) ).
thf(f50872,plain,
( spl0_470
| spl0_380
| ~ spl0_371
| spl0_381 ),
inference(avatar_split_clause,[],[f50869,f19646,f19565,f19643,f24630]) ).
thf(f50876,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_801 ),
inference(constrained_superposition,[],[f38837,f27]) ).
thf(f50877,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_801 ),
inference(trivial_inequality_removal,[],[f50876]) ).
thf(f50878,plain,
( spl0_806
| spl0_792
| spl0_801 ),
inference(avatar_split_clause,[],[f50877,f38836,f38541,f39166]) ).
thf(f50881,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_806 ),
inference(constrained_superposition,[],[f31,f39167]) ).
thf(f50882,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_806 ),
inference(trivial_inequality_removal,[],[f50881]) ).
thf(f50885,plain,
( spl0_809
| spl0_50
| ~ spl0_806 ),
inference(avatar_split_clause,[],[f50882,f39166,f1823,f39378]) ).
thf(f50888,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_274
| ~ spl0_380 ),
inference(constrained_superposition,[],[f19644,f10968]) ).
thf(f50891,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_380 ),
inference(constrained_superposition,[],[f19644,f36]) ).
thf(f50896,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_380 ),
inference(trivial_inequality_removal,[],[f50891]) ).
thf(f50898,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_274
| ~ spl0_380 ),
inference(trivial_inequality_removal,[],[f50888]) ).
thf(f50902,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_3
| ~ spl0_380 ),
inference(forward_subsumption_resolution,[],[f50896,f25522]) ).
thf(f50903,plain,
( $false
| ~ spl0_3
| ~ spl0_274
| ~ spl0_380 ),
inference(forward_subsumption_resolution,[],[f50898,f25522]) ).
thf(f50904,plain,
( ~ spl0_3
| ~ spl0_274
| ~ spl0_380 ),
inference(avatar_contradiction_clause,[],[f50903]) ).
thf(f50907,plain,
( spl0_376
| ~ spl0_3
| ~ spl0_380 ),
inference(avatar_split_clause,[],[f50902,f19643,f78,f19584]) ).
thf(f50919,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( $true != $true )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
= $true )
| ( $true
= ( b @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_376 ),
inference(constrained_superposition,[],[f148,f20873]) ).
thf(f50925,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( $true
= ( b @ z @ X0 ) )
| ( z = X0 )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
= $true ) )
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f50919]) ).
thf(f50927,plain,
( spl0_26
| spl0_413
| ~ spl0_376 ),
inference(avatar_split_clause,[],[f50925,f19584,f20946,f678]) ).
thf(f50947,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_461 ),
inference(constrained_superposition,[],[f24211,f27]) ).
thf(f50948,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_461 ),
inference(trivial_inequality_removal,[],[f50947]) ).
thf(f50949,plain,
( spl0_453
| spl0_383
| spl0_461 ),
inference(avatar_split_clause,[],[f50948,f24104,f19657,f23198]) ).
thf(f51041,plain,
( $false
| ~ spl0_787
| ~ spl0_838 ),
inference(forward_subsumption_resolution,[],[f43582,f38294]) ).
thf(f51042,plain,
( ~ spl0_787
| ~ spl0_838 ),
inference(avatar_contradiction_clause,[],[f51041]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f50]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f125]) ).
cnf(s6,plain,
( spl0_3
| spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f207]) ).
cnf(s8,plain,
( spl0_4
| ~ spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f273]) ).
cnf(s9,plain,
( spl0_2
| spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f277]) ).
cnf(s11,plain,
( spl0_8
| spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f288]) ).
cnf(s12,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f291]) ).
cnf(s13,plain,
( ~ spl0_1
| spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f303]) ).
cnf(s14,plain,
( ~ spl0_1
| ~ spl0_6
| spl0_17 ),
inference(sat_conversion,[],[f307]) ).
cnf(s18,plain,
( ~ spl0_3
| ~ spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f363]) ).
cnf(s64,plain,
~ spl0_45,
inference(sat_conversion,[],[f1800]) ).
cnf(s73,plain,
( ~ spl0_11
| ~ spl0_43
| ~ spl0_53
| spl0_54 ),
inference(sat_conversion,[],[f1882]) ).
cnf(s82,plain,
( spl0_14
| ~ spl0_18 ),
inference(sat_conversion,[],[f2031]) ).
cnf(s86,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f2065]) ).
cnf(s109,plain,
( ~ spl0_11
| ~ spl0_67
| ~ spl0_72
| spl0_73 ),
inference(sat_conversion,[],[f2413]) ).
cnf(s112,plain,
( ~ spl0_24
| spl0_45
| ~ spl0_50
| spl0_79 ),
inference(sat_conversion,[],[f2463]) ).
cnf(s118,plain,
( ~ spl0_51
| ~ spl0_55
| spl0_82 ),
inference(sat_conversion,[],[f2552]) ).
cnf(s134,plain,
( ~ spl0_10
| spl0_35
| spl0_45
| ~ spl0_50
| spl0_79 ),
inference(sat_conversion,[],[f2682]) ).
cnf(s138,plain,
( ~ spl0_11
| spl0_35
| spl0_45
| spl0_72 ),
inference(sat_conversion,[],[f2692]) ).
cnf(s142,plain,
( spl0_35
| spl0_53 ),
inference(sat_conversion,[],[f2700]) ).
cnf(s161,plain,
( ~ spl0_43
| ~ spl0_54 ),
inference(sat_conversion,[],[f3429]) ).
cnf(s162,plain,
( ~ spl0_54
| spl0_55 ),
inference(sat_conversion,[],[f3435]) ).
cnf(s163,plain,
( ~ spl0_4
| ~ spl0_54
| spl0_81 ),
inference(sat_conversion,[],[f3437]) ).
cnf(s171,plain,
( spl0_24
| ~ spl0_31 ),
inference(sat_conversion,[],[f3550]) ).
cnf(s172,plain,
( ~ spl0_14
| spl0_20
| ~ spl0_31 ),
inference(sat_conversion,[],[f3551]) ).
cnf(s182,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_18
| ~ spl0_37
| spl0_54
| spl0_108 ),
inference(sat_conversion,[],[f4123]) ).
cnf(s444,plain,
( spl0_38
| ~ spl0_79 ),
inference(sat_conversion,[],[f8274]) ).
cnf(s463,plain,
( spl0_37
| spl0_81 ),
inference(sat_conversion,[],[f8350]) ).
cnf(s467,plain,
( ~ spl0_8
| ~ spl0_11
| spl0_37
| spl0_224 ),
inference(sat_conversion,[],[f8372]) ).
cnf(s476,plain,
( spl0_26
| ~ spl0_81
| spl0_228 ),
inference(sat_conversion,[],[f8426]) ).
cnf(s477,plain,
( ~ spl0_81
| spl0_202 ),
inference(sat_conversion,[],[f8428]) ).
cnf(s479,plain,
( ~ spl0_8
| ~ spl0_11
| spl0_37
| spl0_49
| ~ spl0_81 ),
inference(sat_conversion,[],[f8431]) ).
cnf(s480,plain,
( ~ spl0_11
| spl0_72
| ~ spl0_81 ),
inference(sat_conversion,[],[f8432]) ).
cnf(s483,plain,
( ~ spl0_8
| ~ spl0_11
| ~ spl0_51
| ~ spl0_72
| spl0_85 ),
inference(sat_conversion,[],[f8456]) ).
cnf(s540,plain,
( ~ spl0_8
| ~ spl0_11
| ~ spl0_72
| spl0_80 ),
inference(sat_conversion,[],[f9126]) ).
cnf(s541,plain,
( ~ spl0_8
| ~ spl0_72
| spl0_83 ),
inference(sat_conversion,[],[f9127]) ).
cnf(s542,plain,
( ~ spl0_54
| ~ spl0_81 ),
inference(sat_conversion,[],[f9135]) ).
cnf(s595,plain,
( spl0_50
| ~ spl0_55
| spl0_244 ),
inference(sat_conversion,[],[f9651]) ).
cnf(s596,plain,
( spl0_37
| ~ spl0_55 ),
inference(sat_conversion,[],[f9657]) ).
cnf(s601,plain,
( ~ spl0_8
| ~ spl0_11
| spl0_43
| ~ spl0_55
| ~ spl0_82
| spl0_247 ),
inference(sat_conversion,[],[f9685]) ).
cnf(s607,plain,
( spl0_2
| ~ spl0_224
| spl0_249 ),
inference(sat_conversion,[],[f9758]) ).
cnf(s650,plain,
( spl0_201
| ~ spl0_228 ),
inference(sat_conversion,[],[f10269]) ).
cnf(s651,plain,
( ~ spl0_10
| ~ spl0_11
| spl0_37
| ~ spl0_41
| spl0_222 ),
inference(sat_conversion,[],[f10284]) ).
cnf(s667,plain,
( ~ spl0_35
| ~ spl0_50
| spl0_67 ),
inference(sat_conversion,[],[f10430]) ).
cnf(s677,plain,
( spl0_201
| ~ spl0_266 ),
inference(sat_conversion,[],[f10509]) ).
cnf(s678,plain,
( ~ spl0_11
| spl0_259
| ~ spl0_262 ),
inference(sat_conversion,[],[f10545]) ).
cnf(s730,plain,
( ~ spl0_11
| ~ spl0_278 ),
inference(sat_conversion,[],[f11053]) ).
cnf(s731,plain,
( ~ spl0_53
| ~ spl0_278 ),
inference(sat_conversion,[],[f11055]) ).
cnf(s732,plain,
( spl0_26
| ~ spl0_278 ),
inference(sat_conversion,[],[f11056]) ).
cnf(s774,plain,
( spl0_68
| spl0_234 ),
inference(sat_conversion,[],[f11717]) ).
cnf(s778,plain,
( spl0_21
| ~ spl0_234 ),
inference(sat_conversion,[],[f11740]) ).
cnf(s780,plain,
( ~ spl0_10
| spl0_35
| ~ spl0_234 ),
inference(sat_conversion,[],[f11743]) ).
cnf(s781,plain,
( ~ spl0_234
| spl0_255 ),
inference(sat_conversion,[],[f11744]) ).
cnf(s783,plain,
( ~ spl0_11
| spl0_31
| ~ spl0_53
| ~ spl0_234 ),
inference(sat_conversion,[],[f11748]) ).
cnf(s784,plain,
( ~ spl0_11
| spl0_31
| spl0_35
| ~ spl0_234 ),
inference(sat_conversion,[],[f11749]) ).
cnf(s804,plain,
( ~ spl0_8
| ~ spl0_11
| ~ spl0_72
| spl0_273 ),
inference(sat_conversion,[],[f12251]) ).
cnf(s1296,plain,
( ~ spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f17988]) ).
cnf(s1303,plain,
( spl0_116
| ~ spl0_266
| ~ spl0_273 ),
inference(sat_conversion,[],[f18188]) ).
cnf(s1404,plain,
( spl0_133
| ~ spl0_247 ),
inference(sat_conversion,[],[f19522]) ).
cnf(s1418,plain,
( ~ spl0_11
| spl0_37
| spl0_45
| spl0_368
| spl0_377 ),
inference(sat_conversion,[],[f19590]) ).
cnf(s1425,plain,
( ~ spl0_73
| ~ spl0_368
| spl0_379
| spl0_382 ),
inference(sat_conversion,[],[f19652]) ).
cnf(s1428,plain,
( ~ spl0_80
| spl0_274
| ~ spl0_368 ),
inference(sat_conversion,[],[f19660]) ).
cnf(s1429,plain,
( ~ spl0_83
| ~ spl0_368
| spl0_381 ),
inference(sat_conversion,[],[f19661]) ).
cnf(s1448,plain,
~ spl0_383,
inference(sat_conversion,[],[f19856]) ).
cnf(s1476,plain,
( ~ spl0_11
| ~ spl0_374
| ~ spl0_381
| spl0_389 ),
inference(sat_conversion,[],[f20019]) ).
cnf(s1480,plain,
( ~ spl0_10
| ~ spl0_41
| ~ spl0_368
| spl0_377
| spl0_383 ),
inference(sat_conversion,[],[f20053]) ).
cnf(s1482,plain,
( spl0_374
| spl0_377 ),
inference(sat_conversion,[],[f20057]) ).
cnf(s1490,plain,
( spl0_271
| ~ spl0_382 ),
inference(sat_conversion,[],[f20170]) ).
cnf(s1494,plain,
( ~ spl0_249
| ~ spl0_371
| ~ spl0_377
| spl0_383
| spl0_395 ),
inference(sat_conversion,[],[f20324]) ).
cnf(s1495,plain,
( ~ spl0_2
| ~ spl0_259
| ~ spl0_274
| ~ spl0_371
| spl0_383
| spl0_395 ),
inference(sat_conversion,[],[f20326]) ).
cnf(s1498,plain,
( ~ spl0_2
| ~ spl0_274
| ~ spl0_371
| spl0_396 ),
inference(sat_conversion,[],[f20337]) ).
cnf(s1522,plain,
~ spl0_395,
inference(sat_conversion,[],[f20531]) ).
cnf(s1540,plain,
( ~ spl0_11
| ~ spl0_396
| spl0_398 ),
inference(sat_conversion,[],[f20601]) ).
cnf(s1552,plain,
~ spl0_402,
inference(sat_conversion,[],[f20763]) ).
cnf(s1561,plain,
( ~ spl0_38
| spl0_397
| ~ spl0_398 ),
inference(sat_conversion,[],[f20816]) ).
cnf(s1577,plain,
( ~ spl0_381
| ~ spl0_389 ),
inference(sat_conversion,[],[f20889]) ).
cnf(s1578,plain,
( spl0_387
| ~ spl0_389 ),
inference(sat_conversion,[],[f20891]) ).
cnf(s1580,plain,
( ~ spl0_4
| ~ spl0_389 ),
inference(sat_conversion,[],[f20895]) ).
cnf(s1587,plain,
( spl0_274
| spl0_376 ),
inference(sat_conversion,[],[f20910]) ).
cnf(s1660,plain,
( spl0_381
| spl0_383
| spl0_411 ),
inference(sat_conversion,[],[f21651]) ).
cnf(s1661,plain,
( ~ spl0_4
| spl0_376
| spl0_381 ),
inference(sat_conversion,[],[f21653]) ).
cnf(s1671,plain,
( ~ spl0_38
| spl0_382
| ~ spl0_411 ),
inference(sat_conversion,[],[f21738]) ).
cnf(s1693,plain,
~ spl0_269,
inference(sat_conversion,[],[f21905]) ).
cnf(s1703,plain,
( spl0_400
| ~ spl0_406 ),
inference(sat_conversion,[],[f21951]) ).
cnf(s1704,plain,
( ~ spl0_4
| ~ spl0_406 ),
inference(sat_conversion,[],[f21953]) ).
cnf(s1712,plain,
( ~ spl0_276
| ~ spl0_372
| ~ spl0_415 ),
inference(sat_conversion,[],[f22035]) ).
cnf(s1726,plain,
( ~ spl0_68
| ~ spl0_380
| spl0_382 ),
inference(sat_conversion,[],[f22163]) ).
cnf(s1729,plain,
( ~ spl0_66
| ~ spl0_68
| spl0_269
| spl0_274
| ~ spl0_380 ),
inference(sat_conversion,[],[f22171]) ).
cnf(s1731,plain,
( ~ spl0_2
| ~ spl0_274
| ~ spl0_372
| ~ spl0_405 ),
inference(sat_conversion,[],[f22280]) ).
cnf(s1732,plain,
( ~ spl0_2
| spl0_15
| ~ spl0_274
| ~ spl0_411 ),
inference(sat_conversion,[],[f22282]) ).
cnf(s1733,plain,
( ~ spl0_2
| spl0_15
| ~ spl0_274
| spl0_381 ),
inference(sat_conversion,[],[f22285]) ).
cnf(s1738,plain,
( ~ spl0_372
| ~ spl0_378
| ~ spl0_440 ),
inference(sat_conversion,[],[f22430]) ).
cnf(s1743,plain,
( ~ spl0_11
| ~ spl0_72
| spl0_274
| ~ spl0_378
| spl0_383 ),
inference(sat_conversion,[],[f22444]) ).
cnf(s1745,plain,
( ~ spl0_16
| spl0_21
| ~ spl0_377 ),
inference(sat_conversion,[],[f22445]) ).
cnf(s1746,plain,
( ~ spl0_18
| spl0_21
| ~ spl0_405 ),
inference(sat_conversion,[],[f22448]) ).
cnf(s1747,plain,
( ~ spl0_20
| spl0_396 ),
inference(sat_conversion,[],[f22479]) ).
cnf(s1756,plain,
( ~ spl0_14
| ~ spl0_370
| spl0_376
| spl0_406
| ~ spl0_407 ),
inference(sat_conversion,[],[f22531]) ).
cnf(s1759,plain,
( ~ spl0_4
| ~ spl0_370
| ~ spl0_381
| spl0_389
| spl0_396 ),
inference(sat_conversion,[],[f22537]) ).
cnf(s1781,plain,
( ~ spl0_16
| spl0_21
| ~ spl0_415 ),
inference(sat_conversion,[],[f22718]) ).
cnf(s1786,plain,
( spl0_440
| spl0_448 ),
inference(sat_conversion,[],[f22742]) ).
cnf(s1791,plain,
( spl0_415
| spl0_442 ),
inference(sat_conversion,[],[f22830]) ).
cnf(s1805,plain,
( ~ spl0_202
| ~ spl0_396
| spl0_406
| ~ spl0_448 ),
inference(sat_conversion,[],[f22940]) ).
cnf(s1806,plain,
( spl0_37
| ~ spl0_396
| spl0_406
| ~ spl0_448 ),
inference(sat_conversion,[],[f22941]) ).
cnf(s1810,plain,
( ~ spl0_4
| ~ spl0_373
| spl0_376
| spl0_406
| ~ spl0_435 ),
inference(sat_conversion,[],[f22967]) ).
cnf(s1811,plain,
( ~ spl0_371
| ~ spl0_379
| ~ spl0_440 ),
inference(sat_conversion,[],[f23048]) ).
cnf(s1816,plain,
( ~ spl0_26
| spl0_35 ),
inference(sat_conversion,[],[f23151]) ).
cnf(s1817,plain,
( ~ spl0_16
| ~ spl0_26
| spl0_348 ),
inference(sat_conversion,[],[f23155]) ).
cnf(s1827,plain,
( spl0_45
| spl0_68
| spl0_255 ),
inference(sat_conversion,[],[f23210]) ).
cnf(s1828,plain,
( ~ spl0_7
| ~ spl0_13
| ~ spl0_201
| spl0_234
| spl0_455 ),
inference(sat_conversion,[],[f23214]) ).
cnf(s1831,plain,
( ~ spl0_16
| ~ spl0_31
| ~ spl0_377 ),
inference(sat_conversion,[],[f23227]) ).
cnf(s1839,plain,
( ~ spl0_16
| ~ spl0_35
| spl0_234 ),
inference(sat_conversion,[],[f23275]) ).
cnf(s1840,plain,
( ~ spl0_13
| ~ spl0_35
| ~ spl0_68 ),
inference(sat_conversion,[],[f23291]) ).
cnf(s1858,plain,
( ~ spl0_16
| spl0_54
| ~ spl0_234
| ~ spl0_369
| ~ spl0_377 ),
inference(sat_conversion,[],[f23392]) ).
cnf(s1859,plain,
( ~ spl0_14
| spl0_54
| ~ spl0_234
| ~ spl0_369
| spl0_376 ),
inference(sat_conversion,[],[f23393]) ).
cnf(s1860,plain,
( ~ spl0_41
| ~ spl0_368
| ~ spl0_453 ),
inference(sat_conversion,[],[f23408]) ).
cnf(s1863,plain,
( ~ spl0_10
| ~ spl0_407
| spl0_415 ),
inference(sat_conversion,[],[f23440]) ).
cnf(s1864,plain,
( spl0_21
| ~ spl0_407 ),
inference(sat_conversion,[],[f23441]) ).
cnf(s1867,plain,
( ~ spl0_11
| spl0_31
| ~ spl0_407
| spl0_415 ),
inference(sat_conversion,[],[f23445]) ).
cnf(s1881,plain,
( ~ spl0_16
| ~ spl0_373
| ~ spl0_377
| spl0_389
| ~ spl0_407 ),
inference(sat_conversion,[],[f23635]) ).
cnf(s1885,plain,
( ~ spl0_16
| ~ spl0_255
| ~ spl0_377
| ~ spl0_382
| spl0_389 ),
inference(sat_conversion,[],[f23663]) ).
cnf(s1898,plain,
( ~ spl0_224
| spl0_383
| spl0_395
| spl0_415 ),
inference(sat_conversion,[],[f23735]) ).
cnf(s1900,plain,
( ~ spl0_222
| spl0_383
| spl0_415 ),
inference(sat_conversion,[],[f23738]) ).
cnf(s1903,plain,
( ~ spl0_11
| ~ spl0_81
| spl0_383
| spl0_415
| spl0_440 ),
inference(sat_conversion,[],[f23768]) ).
cnf(s1904,plain,
( ~ spl0_228
| spl0_402
| spl0_415
| spl0_440 ),
inference(sat_conversion,[],[f23769]) ).
cnf(s1920,plain,
( ~ spl0_7
| spl0_15
| ~ spl0_405
| spl0_407 ),
inference(sat_conversion,[],[f23932]) ).
cnf(s1921,plain,
( ~ spl0_2
| spl0_15
| ~ spl0_405
| spl0_407 ),
inference(sat_conversion,[],[f23933]) ).
cnf(s1925,plain,
( ~ spl0_16
| spl0_407
| ~ spl0_415 ),
inference(sat_conversion,[],[f23960]) ).
cnf(s1955,plain,
( ~ spl0_2
| ~ spl0_37
| spl0_397
| ~ spl0_405 ),
inference(sat_conversion,[],[f24223]) ).
cnf(s1962,plain,
( ~ spl0_6
| spl0_50
| ~ spl0_72
| spl0_81 ),
inference(sat_conversion,[],[f24240]) ).
cnf(s1966,plain,
( spl0_45
| spl0_72
| spl0_466 ),
inference(sat_conversion,[],[f24247]) ).
cnf(s1970,plain,
( ~ spl0_2
| ~ spl0_37
| spl0_366 ),
inference(sat_conversion,[],[f24268]) ).
cnf(s1975,plain,
( ~ spl0_43
| spl0_466 ),
inference(sat_conversion,[],[f24297]) ).
cnf(s1992,plain,
( spl0_396
| spl0_405 ),
inference(sat_conversion,[],[f24438]) ).
cnf(s2006,plain,
( ~ spl0_255
| ~ spl0_397
| spl0_406
| ~ spl0_407 ),
inference(sat_conversion,[],[f24587]) ).
cnf(s2015,plain,
( ~ spl0_371
| ~ spl0_404
| ~ spl0_453 ),
inference(sat_conversion,[],[f24697]) ).
cnf(s2019,plain,
( ~ spl0_372
| ~ spl0_380
| ~ spl0_436 ),
inference(sat_conversion,[],[f24734]) ).
cnf(s2037,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_206 ),
inference(sat_conversion,[],[f24915]) ).
cnf(s2040,plain,
( ~ spl0_8
| ~ spl0_371
| ~ spl0_398
| ~ spl0_411 ),
inference(sat_conversion,[],[f24980]) ).
cnf(s2052,plain,
( spl0_54
| ~ spl0_234
| ~ spl0_407
| ~ spl0_448 ),
inference(sat_conversion,[],[f25148]) ).
cnf(s2053,plain,
( ~ spl0_16
| ~ spl0_377
| spl0_461 ),
inference(sat_conversion,[],[f25159]) ).
cnf(s2059,plain,
( spl0_21
| ~ spl0_461 ),
inference(sat_conversion,[],[f25193]) ).
cnf(s2073,plain,
( ~ spl0_275
| spl0_374
| spl0_473 ),
inference(sat_conversion,[],[f25446]) ).
cnf(s2074,plain,
( ~ spl0_275
| ~ spl0_377
| spl0_473 ),
inference(sat_conversion,[],[f25447]) ).
cnf(s2084,plain,
( ~ spl0_18
| ~ spl0_37
| spl0_234 ),
inference(sat_conversion,[],[f25509]) ).
cnf(s2088,plain,
( spl0_15
| ~ spl0_67
| spl0_234 ),
inference(sat_conversion,[],[f25517]) ).
cnf(s2090,plain,
( ~ spl0_7
| spl0_15
| ~ spl0_37
| spl0_234 ),
inference(sat_conversion,[],[f25519]) ).
cnf(s2095,plain,
( spl0_4
| ~ spl0_206 ),
inference(sat_conversion,[],[f25529]) ).
cnf(s2097,plain,
( spl0_3
| ~ spl0_11
| spl0_475 ),
inference(sat_conversion,[],[f25535]) ).
cnf(s2099,plain,
( spl0_3
| ~ spl0_11
| spl0_476 ),
inference(sat_conversion,[],[f25540]) ).
cnf(s2103,plain,
( spl0_3
| ~ spl0_396
| spl0_406
| ~ spl0_407 ),
inference(sat_conversion,[],[f25550]) ).
cnf(s2107,plain,
( ~ spl0_3
| spl0_43
| ~ spl0_366 ),
inference(sat_conversion,[],[f25561]) ).
cnf(s2112,plain,
( ~ spl0_15
| spl0_203 ),
inference(sat_conversion,[],[f25583]) ).
cnf(s2113,plain,
( ~ spl0_15
| spl0_21 ),
inference(sat_conversion,[],[f25584]) ).
cnf(s2121,plain,
( ~ spl0_11
| ~ spl0_376
| spl0_383
| spl0_411 ),
inference(sat_conversion,[],[f25638]) ).
cnf(s2124,plain,
( ~ spl0_11
| ~ spl0_374
| spl0_383
| spl0_389
| spl0_411 ),
inference(sat_conversion,[],[f25674]) ).
cnf(s2129,plain,
( ~ spl0_396
| ~ spl0_406 ),
inference(sat_conversion,[],[f25701]) ).
cnf(s2141,plain,
( ~ spl0_67
| spl0_397
| ~ spl0_405 ),
inference(sat_conversion,[],[f25778]) ).
cnf(s2151,plain,
( ~ spl0_26
| spl0_415 ),
inference(sat_conversion,[],[f25853]) ).
cnf(s2156,plain,
( ~ spl0_11
| spl0_395
| spl0_398
| spl0_406
| spl0_415 ),
inference(sat_conversion,[],[f25876]) ).
cnf(s2159,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_18 ),
inference(sat_conversion,[],[f25901]) ).
cnf(s2184,plain,
( spl0_406
| ~ spl0_435
| ~ spl0_448
| ~ spl0_466 ),
inference(sat_conversion,[],[f26066]) ).
cnf(s2190,plain,
( ~ spl0_371
| ~ spl0_405
| ~ spl0_473 ),
inference(sat_conversion,[],[f26163]) ).
cnf(s2195,plain,
( ~ spl0_271
| ~ spl0_373
| ~ spl0_397
| spl0_406 ),
inference(sat_conversion,[],[f26187]) ).
cnf(s2197,plain,
( ~ spl0_11
| spl0_406
| ~ spl0_435
| ~ spl0_442 ),
inference(sat_conversion,[],[f26189]) ).
cnf(s2198,plain,
( ~ spl0_72
| spl0_275
| spl0_382
| ~ spl0_411 ),
inference(sat_conversion,[],[f26190]) ).
cnf(s2207,plain,
( ~ spl0_406
| ~ spl0_435 ),
inference(sat_conversion,[],[f26240]) ).
cnf(s2209,plain,
( spl0_45
| spl0_68
| spl0_234 ),
inference(sat_conversion,[],[f26245]) ).
cnf(s2219,plain,
( ~ spl0_397
| ~ spl0_406 ),
inference(sat_conversion,[],[f26348]) ).
cnf(s2232,plain,
( ~ spl0_394
| ~ spl0_398
| ~ spl0_411 ),
inference(sat_conversion,[],[f26554]) ).
cnf(s2238,plain,
( ~ spl0_108
| spl0_396 ),
inference(sat_conversion,[],[f26643]) ).
cnf(s2241,plain,
( ~ spl0_393
| spl0_442
| spl0_482 ),
inference(sat_conversion,[],[f26737]) ).
cnf(s2253,plain,
( ~ spl0_8
| ~ spl0_72
| spl0_79 ),
inference(sat_conversion,[],[f26869]) ).
cnf(s2254,plain,
( spl0_6
| ~ spl0_8
| ~ spl0_11
| spl0_471 ),
inference(sat_conversion,[],[f26870]) ).
cnf(s2620,plain,
( spl0_269
| ~ spl0_453
| ~ spl0_455 ),
inference(sat_conversion,[],[f29841]) ).
cnf(s2782,plain,
( ~ spl0_212
| spl0_406
| ~ spl0_448
| spl0_640 ),
inference(sat_conversion,[],[f30988]) ).
cnf(s2878,plain,
( ~ spl0_116
| spl0_377
| spl0_383 ),
inference(sat_conversion,[],[f31761]) ).
cnf(s2882,plain,
( spl0_274
| ~ spl0_387 ),
inference(sat_conversion,[],[f31856]) ).
cnf(s3048,plain,
( ~ spl0_11
| ~ spl0_15
| spl0_499 ),
inference(sat_conversion,[],[f32926]) ).
cnf(s3312,plain,
~ spl0_133,
inference(sat_conversion,[],[f34882]) ).
cnf(s3338,plain,
( ~ spl0_59
| spl0_395
| spl0_436
| ~ spl0_448 ),
inference(sat_conversion,[],[f35233]) ).
cnf(s3349,plain,
( ~ spl0_17
| spl0_43
| spl0_53 ),
inference(sat_conversion,[],[f35379]) ).
cnf(s3361,plain,
( ~ spl0_8
| spl0_395
| ~ spl0_400
| spl0_738 ),
inference(sat_conversion,[],[f35666]) ).
cnf(s3386,plain,
( ~ spl0_8
| ~ spl0_11
| spl0_571 ),
inference(sat_conversion,[],[f36625]) ).
cnf(s3388,plain,
( ~ spl0_41
| ~ spl0_51
| ~ spl0_476
| spl0_633 ),
inference(sat_conversion,[],[f36764]) ).
cnf(s3389,plain,
( spl0_612
| ~ spl0_633 ),
inference(sat_conversion,[],[f36789]) ).
cnf(s3393,plain,
( spl0_406
| ~ spl0_448
| ~ spl0_612
| spl0_746 ),
inference(sat_conversion,[],[f36820]) ).
cnf(s3459,plain,
( ~ spl0_72
| spl0_212
| ~ spl0_366
| ~ spl0_471 ),
inference(sat_conversion,[],[f38044]) ).
cnf(s3460,plain,
( ~ spl0_10
| ~ spl0_275
| spl0_377
| spl0_383
| spl0_772 ),
inference(sat_conversion,[],[f38050]) ).
cnf(s3461,plain,
( ~ spl0_275
| spl0_461
| spl0_772 ),
inference(sat_conversion,[],[f38053]) ).
cnf(s3462,plain,
( ~ spl0_275
| spl0_377
| ~ spl0_499
| spl0_772 ),
inference(sat_conversion,[],[f38055]) ).
cnf(s3465,plain,
( spl0_269
| spl0_773
| spl0_774 ),
inference(sat_conversion,[],[f38087]) ).
cnf(s3466,plain,
( spl0_269
| spl0_775
| spl0_776 ),
inference(sat_conversion,[],[f38094]) ).
cnf(s3472,plain,
( ~ spl0_482
| ~ spl0_773
| spl0_779 ),
inference(sat_conversion,[],[f38234]) ).
cnf(s3477,plain,
( ~ spl0_203
| ~ spl0_779
| spl0_785
| spl0_786
| spl0_787 ),
inference(sat_conversion,[],[f38295]) ).
cnf(s3492,plain,
~ spl0_786,
inference(sat_conversion,[],[f38452]) ).
cnf(s3512,plain,
( ~ spl0_779
| ~ spl0_787 ),
inference(sat_conversion,[],[f38497]) ).
cnf(s3531,plain,
( ~ spl0_38
| ~ spl0_788
| spl0_796 ),
inference(sat_conversion,[],[f38726]) ).
cnf(s3533,plain,
( ~ spl0_2
| ~ spl0_37
| ~ spl0_789
| spl0_796 ),
inference(sat_conversion,[],[f38759]) ).
cnf(s3537,plain,
( ~ spl0_407
| ~ spl0_774
| spl0_787
| ~ spl0_800 ),
inference(sat_conversion,[],[f38834]) ).
cnf(s3538,plain,
( ~ spl0_448
| ~ spl0_774
| spl0_787
| ~ spl0_801 ),
inference(sat_conversion,[],[f38838]) ).
cnf(s3539,plain,
( ~ spl0_78
| ~ spl0_397
| spl0_406
| ~ spl0_774
| spl0_786 ),
inference(sat_conversion,[],[f38841]) ).
cnf(s3548,plain,
( ~ spl0_203
| ~ spl0_779
| spl0_785
| spl0_786
| spl0_789 ),
inference(sat_conversion,[],[f38881]) ).
cnf(s3556,plain,
( ~ spl0_79
| spl0_395
| ~ spl0_788
| spl0_796 ),
inference(sat_conversion,[],[f38950]) ).
cnf(s3560,plain,
( ~ spl0_772
| ~ spl0_783
| ~ spl0_788 ),
inference(sat_conversion,[],[f39006]) ).
cnf(s3565,plain,
( spl0_402
| ~ spl0_782 ),
inference(sat_conversion,[],[f39141]) ).
cnf(s3570,plain,
( ~ spl0_51
| spl0_395
| spl0_801
| spl0_807 ),
inference(sat_conversion,[],[f39172]) ).
cnf(s3571,plain,
( spl0_395
| ~ spl0_633
| spl0_801 ),
inference(sat_conversion,[],[f39173]) ).
cnf(s3572,plain,
( ~ spl0_85
| spl0_395
| spl0_786
| spl0_801 ),
inference(sat_conversion,[],[f39174]) ).
cnf(s3573,plain,
( ~ spl0_787
| ~ spl0_796 ),
inference(sat_conversion,[],[f39179]) ).
cnf(s3579,plain,
( ~ spl0_774
| ~ spl0_787 ),
inference(sat_conversion,[],[f39234]) ).
cnf(s3580,plain,
( ~ spl0_41
| spl0_395
| ~ spl0_785
| spl0_801 ),
inference(sat_conversion,[],[f39236]) ).
cnf(s3581,plain,
( ~ spl0_72
| spl0_85
| ~ spl0_366
| ~ spl0_571 ),
inference(sat_conversion,[],[f39241]) ).
cnf(s3597,plain,
( ~ spl0_7
| spl0_234
| ~ spl0_785
| ~ spl0_806 ),
inference(sat_conversion,[],[f39386]) ).
cnf(s3606,plain,
( ~ spl0_7
| ~ spl0_453
| ~ spl0_783
| spl0_800 ),
inference(sat_conversion,[],[f39455]) ).
cnf(s3611,plain,
( ~ spl0_393
| ~ spl0_415
| spl0_482 ),
inference(sat_conversion,[],[f39490]) ).
cnf(s3616,plain,
( spl0_269
| spl0_372
| spl0_373 ),
inference(sat_conversion,[],[f39507]) ).
cnf(s3618,plain,
( ~ spl0_371
| ~ spl0_377
| ~ spl0_414 ),
inference(sat_conversion,[],[f39509]) ).
cnf(s3621,plain,
( ~ spl0_7
| ~ spl0_203
| ~ spl0_453
| ~ spl0_779
| ~ spl0_783
| spl0_787 ),
inference(sat_conversion,[],[f39514]) ).
cnf(s3627,plain,
( ~ spl0_35
| spl0_397
| ~ spl0_414 ),
inference(sat_conversion,[],[f39526]) ).
cnf(s3638,plain,
( ~ spl0_11
| spl0_269
| spl0_372
| ~ spl0_376
| ~ spl0_442 ),
inference(sat_conversion,[],[f39540]) ).
cnf(s3639,plain,
( ~ spl0_11
| spl0_269
| spl0_274
| spl0_372
| spl0_415 ),
inference(sat_conversion,[],[f39543]) ).
cnf(s3640,plain,
( ~ spl0_10
| ~ spl0_393
| spl0_395
| spl0_415
| spl0_738 ),
inference(sat_conversion,[],[f39544]) ).
cnf(s3641,plain,
( ~ spl0_7
| ~ spl0_371
| spl0_407
| ~ spl0_453 ),
inference(sat_conversion,[],[f39545]) ).
cnf(s3642,plain,
( ~ spl0_393
| spl0_407
| spl0_738 ),
inference(sat_conversion,[],[f39546]) ).
cnf(s3655,plain,
( ~ spl0_381
| spl0_517 ),
inference(sat_conversion,[],[f39618]) ).
cnf(s3669,plain,
( ~ spl0_461
| spl0_521 ),
inference(sat_conversion,[],[f39703]) ).
cnf(s3671,plain,
( spl0_395
| spl0_436
| ~ spl0_442
| ~ spl0_480 ),
inference(sat_conversion,[],[f39731]) ).
cnf(s3672,plain,
( spl0_372
| ~ spl0_413
| ~ spl0_442
| spl0_820 ),
inference(sat_conversion,[],[f39735]) ).
cnf(s3673,plain,
( spl0_436
| ~ spl0_442
| ~ spl0_475 ),
inference(sat_conversion,[],[f39736]) ).
cnf(s3676,plain,
( spl0_436
| ~ spl0_442
| ~ spl0_499 ),
inference(sat_conversion,[],[f39740]) ).
cnf(s3680,plain,
( ~ spl0_393
| ~ spl0_436
| spl0_738 ),
inference(sat_conversion,[],[f39785]) ).
cnf(s3688,plain,
( ~ spl0_11
| ~ spl0_779
| spl0_786
| spl0_788 ),
inference(sat_conversion,[],[f39818]) ).
cnf(s3695,plain,
( ~ spl0_274
| ~ spl0_372
| ~ spl0_482 ),
inference(sat_conversion,[],[f40000]) ).
cnf(s3696,plain,
( ~ spl0_372
| ~ spl0_411
| ~ spl0_738 ),
inference(sat_conversion,[],[f40066]) ).
cnf(s3699,plain,
( spl0_269
| spl0_271
| spl0_375 ),
inference(sat_conversion,[],[f40069]) ).
cnf(s3700,plain,
( ~ spl0_35
| ~ spl0_276
| spl0_382 ),
inference(sat_conversion,[],[f40071]) ).
cnf(s3701,plain,
( ~ spl0_41
| spl0_383
| ~ spl0_436
| spl0_448 ),
inference(sat_conversion,[],[f40073]) ).
cnf(s3702,plain,
( spl0_54
| ~ spl0_81
| ~ spl0_397
| spl0_405 ),
inference(sat_conversion,[],[f40074]) ).
cnf(s3703,plain,
( ~ spl0_82
| spl0_269
| ~ spl0_377 ),
inference(sat_conversion,[],[f40094]) ).
cnf(s3707,plain,
( ~ spl0_377
| spl0_415
| ~ spl0_820 ),
inference(sat_conversion,[],[f40186]) ).
cnf(s3708,plain,
( spl0_448
| ~ spl0_801
| ~ spl0_820 ),
inference(sat_conversion,[],[f40187]) ).
cnf(s3709,plain,
( spl0_407
| ~ spl0_461
| ~ spl0_820 ),
inference(sat_conversion,[],[f40189]) ).
cnf(s3718,plain,
( ~ spl0_371
| ~ spl0_820 ),
inference(sat_conversion,[],[f40202]) ).
cnf(s3727,plain,
( ~ spl0_72
| ~ spl0_440
| ~ spl0_738 ),
inference(sat_conversion,[],[f40272]) ).
cnf(s3728,plain,
( ~ spl0_7
| spl0_234
| ~ spl0_436
| ~ spl0_440 ),
inference(sat_conversion,[],[f40274]) ).
cnf(s3729,plain,
( ~ spl0_85
| spl0_395
| ~ spl0_440 ),
inference(sat_conversion,[],[f40275]) ).
cnf(s3731,plain,
( ~ spl0_2
| ~ spl0_274
| spl0_520 ),
inference(sat_conversion,[],[f40325]) ).
cnf(s3732,plain,
( ~ spl0_37
| ~ spl0_375
| ~ spl0_520 ),
inference(sat_conversion,[],[f40359]) ).
cnf(s3733,plain,
( ~ spl0_37
| spl0_382
| ~ spl0_520 ),
inference(sat_conversion,[],[f40361]) ).
cnf(s3734,plain,
( ~ spl0_21
| ~ spl0_234
| spl0_269
| spl0_375
| ~ spl0_381 ),
inference(sat_conversion,[],[f40362]) ).
cnf(s3738,plain,
( spl0_43
| spl0_45
| spl0_72 ),
inference(sat_conversion,[],[f40370]) ).
cnf(s3750,plain,
( ~ spl0_203
| ~ spl0_376
| spl0_383
| spl0_389
| spl0_453 ),
inference(sat_conversion,[],[f40464]) ).
cnf(s3756,plain,
( ~ spl0_374
| spl0_453
| ~ spl0_475 ),
inference(sat_conversion,[],[f40508]) ).
cnf(s3758,plain,
( ~ spl0_374
| spl0_383
| spl0_453
| ~ spl0_480 ),
inference(sat_conversion,[],[f40510]) ).
cnf(s3759,plain,
( ~ spl0_374
| spl0_453
| ~ spl0_499 ),
inference(sat_conversion,[],[f40511]) ).
cnf(s3764,plain,
( ~ spl0_366
| spl0_383
| ~ spl0_405
| spl0_448 ),
inference(sat_conversion,[],[f40548]) ).
cnf(s3785,plain,
( ~ spl0_51
| ~ spl0_415
| ~ spl0_440 ),
inference(sat_conversion,[],[f40733]) ).
cnf(s3813,plain,
( spl0_81
| ~ spl0_244
| spl0_402
| ~ spl0_405 ),
inference(sat_conversion,[],[f41122]) ).
cnf(s3820,plain,
( ~ spl0_415
| ~ spl0_773
| ~ spl0_791 ),
inference(sat_conversion,[],[f41261]) ).
cnf(s3821,plain,
( ~ spl0_1
| ~ spl0_415
| ~ spl0_773
| spl0_807 ),
inference(sat_conversion,[],[f41264]) ).
cnf(s3829,plain,
~ spl0_792,
inference(sat_conversion,[],[f41359]) ).
cnf(s3832,plain,
( spl0_779
| spl0_789 ),
inference(sat_conversion,[],[f41365]) ).
cnf(s3835,plain,
( ~ spl0_475
| spl0_785
| ~ spl0_807 ),
inference(sat_conversion,[],[f41398]) ).
cnf(s3836,plain,
( ~ spl0_480
| spl0_785
| spl0_786
| ~ spl0_807 ),
inference(sat_conversion,[],[f41399]) ).
cnf(s3839,plain,
( ~ spl0_499
| spl0_785
| ~ spl0_807 ),
inference(sat_conversion,[],[f41406]) ).
cnf(s3843,plain,
( spl0_395
| ~ spl0_746
| ~ spl0_775 ),
inference(sat_conversion,[],[f41448]) ).
cnf(s3848,plain,
( ~ spl0_1
| spl0_442
| ~ spl0_776
| ~ spl0_790 ),
inference(sat_conversion,[],[f41478]) ).
cnf(s3849,plain,
( ~ spl0_414
| ~ spl0_776
| ~ spl0_790 ),
inference(sat_conversion,[],[f41479]) ).
cnf(s3853,plain,
( ~ spl0_37
| spl0_396
| ~ spl0_450 ),
inference(sat_conversion,[],[f41529]) ).
cnf(s3854,plain,
( ~ spl0_274
| ~ spl0_394
| ~ spl0_405 ),
inference(sat_conversion,[],[f41663]) ).
cnf(s3855,plain,
( ~ spl0_274
| ~ spl0_394
| spl0_396 ),
inference(sat_conversion,[],[f41664]) ).
cnf(s3856,plain,
( ~ spl0_394
| spl0_402
| ~ spl0_776
| spl0_825 ),
inference(sat_conversion,[],[f41681]) ).
cnf(s3857,plain,
( spl0_383
| ~ spl0_394
| ~ spl0_776
| spl0_825 ),
inference(sat_conversion,[],[f41682]) ).
cnf(s3859,plain,
( ~ spl0_11
| spl0_274
| ~ spl0_394
| spl0_402
| ~ spl0_776
| spl0_790 ),
inference(sat_conversion,[],[f41689]) ).
cnf(s3864,plain,
( ~ spl0_15
| spl0_278
| ~ spl0_374
| ~ spl0_521 ),
inference(sat_conversion,[],[f41781]) ).
cnf(s3870,plain,
( ~ spl0_435
| ~ spl0_775
| spl0_787
| ~ spl0_795 ),
inference(sat_conversion,[],[f41942]) ).
cnf(s3872,plain,
( ~ spl0_29
| ~ spl0_38
| ~ spl0_67
| spl0_78 ),
inference(sat_conversion,[],[f41992]) ).
cnf(s3879,plain,
( ~ spl0_53
| ~ spl0_271
| spl0_278
| ~ spl0_376 ),
inference(sat_conversion,[],[f42045]) ).
cnf(s3895,plain,
( spl0_35
| spl0_787
| ~ spl0_796
| ~ spl0_807 ),
inference(sat_conversion,[],[f42075]) ).
cnf(s3901,plain,
( ~ spl0_3
| ~ spl0_789
| ~ spl0_794 ),
inference(sat_conversion,[],[f42079]) ).
cnf(s3908,plain,
( ~ spl0_68
| ~ spl0_794
| spl0_796 ),
inference(sat_conversion,[],[f42093]) ).
cnf(s3921,plain,
( ~ spl0_787
| ~ spl0_795 ),
inference(sat_conversion,[],[f42182]) ).
cnf(s3925,plain,
( ~ spl0_3
| ~ spl0_37
| ~ spl0_41 ),
inference(sat_conversion,[],[f42228]) ).
cnf(s3932,plain,
( spl0_269
| spl0_368
| spl0_831 ),
inference(sat_conversion,[],[f42251]) ).
cnf(s3937,plain,
( spl0_269
| spl0_368
| spl0_369 ),
inference(sat_conversion,[],[f42259]) ).
cnf(s3940,plain,
( ~ spl0_371
| spl0_435
| ~ spl0_772 ),
inference(sat_conversion,[],[f42263]) ).
cnf(s3941,plain,
( ~ spl0_29
| ~ spl0_371
| spl0_395
| spl0_405
| ~ spl0_772 ),
inference(sat_conversion,[],[f42264]) ).
cnf(s3942,plain,
( ~ spl0_21
| ~ spl0_43
| spl0_269
| spl0_368
| ~ spl0_461 ),
inference(sat_conversion,[],[f42266]) ).
cnf(s3943,plain,
( ~ spl0_11
| ~ spl0_371
| spl0_395
| spl0_415
| ~ spl0_772 ),
inference(sat_conversion,[],[f42267]) ).
cnf(s3945,plain,
( ~ spl0_11
| ~ spl0_371
| spl0_395
| spl0_405
| ~ spl0_772 ),
inference(sat_conversion,[],[f42269]) ).
cnf(s3955,plain,
( ~ spl0_368
| spl0_397
| ~ spl0_470 ),
inference(sat_conversion,[],[f42278]) ).
cnf(s3967,plain,
( ~ spl0_37
| ~ spl0_274
| spl0_275
| ~ spl0_389 ),
inference(sat_conversion,[],[f42350]) ).
cnf(s3968,plain,
( spl0_790
| spl0_807 ),
inference(sat_conversion,[],[f42351]) ).
cnf(s3969,plain,
( ~ spl0_1
| ~ spl0_371
| ~ spl0_377
| spl0_442 ),
inference(sat_conversion,[],[f42352]) ).
cnf(s3981,plain,
( ~ spl0_203
| spl0_395
| ~ spl0_396
| spl0_406
| spl0_436 ),
inference(sat_conversion,[],[f42458]) ).
cnf(s3984,plain,
( ~ spl0_11
| spl0_395
| ~ spl0_396
| spl0_398 ),
inference(sat_conversion,[],[f42461]) ).
cnf(s3987,plain,
( ~ spl0_49
| spl0_383
| spl0_405 ),
inference(sat_conversion,[],[f42472]) ).
cnf(s4000,plain,
( ~ spl0_382
| ~ spl0_389 ),
inference(sat_conversion,[],[f42550]) ).
cnf(s4041,plain,
( ~ spl0_738
| ~ spl0_773
| ~ spl0_788 ),
inference(sat_conversion,[],[f43041]) ).
cnf(s4047,plain,
( ~ spl0_738
| ~ spl0_773
| spl0_795 ),
inference(sat_conversion,[],[f43081]) ).
cnf(s4050,plain,
( ~ spl0_11
| spl0_787
| ~ spl0_795
| ~ spl0_807 ),
inference(sat_conversion,[],[f43108]) ).
cnf(s4053,plain,
( spl0_6
| spl0_787
| ~ spl0_795
| ~ spl0_807 ),
inference(sat_conversion,[],[f43115]) ).
cnf(s4055,plain,
( ~ spl0_404
| ~ spl0_776
| ~ spl0_785 ),
inference(sat_conversion,[],[f43166]) ).
cnf(s4060,plain,
( ~ spl0_436
| ~ spl0_773
| ~ spl0_794 ),
inference(sat_conversion,[],[f43234]) ).
cnf(s4061,plain,
( ~ spl0_369
| ~ spl0_381
| spl0_389
| ~ spl0_466 ),
inference(sat_conversion,[],[f43245]) ).
cnf(s4062,plain,
( ~ spl0_466
| spl0_787
| ~ spl0_795
| ~ spl0_801 ),
inference(sat_conversion,[],[f43246]) ).
cnf(s4071,plain,
( ~ spl0_275
| ~ spl0_371
| spl0_383
| ~ spl0_773
| spl0_838 ),
inference(sat_conversion,[],[f43584]) ).
cnf(s4077,plain,
( spl0_787
| ~ spl0_801
| ~ spl0_831
| ~ spl0_838 ),
inference(sat_conversion,[],[f43627]) ).
cnf(s4079,plain,
( ~ spl0_67
| ~ spl0_789
| spl0_796 ),
inference(sat_conversion,[],[f43629]) ).
cnf(s4082,plain,
( ~ spl0_35
| ~ spl0_791
| spl0_796 ),
inference(sat_conversion,[],[f43635]) ).
cnf(s4091,plain,
( ~ spl0_517
| spl0_787
| ~ spl0_795
| ~ spl0_825 ),
inference(sat_conversion,[],[f43703]) ).
cnf(s4092,plain,
( ~ spl0_398
| ~ spl0_777
| spl0_795 ),
inference(sat_conversion,[],[f43704]) ).
cnf(s4094,plain,
( ~ spl0_43
| spl0_54
| ~ spl0_382
| ~ spl0_517 ),
inference(sat_conversion,[],[f43705]) ).
cnf(s4101,plain,
( ~ spl0_68
| spl0_397
| ~ spl0_404 ),
inference(sat_conversion,[],[f43720]) ).
cnf(s4102,plain,
( spl0_397
| spl0_403 ),
inference(sat_conversion,[],[f43722]) ).
cnf(s4104,plain,
( spl0_269
| spl0_370
| spl0_371 ),
inference(sat_conversion,[],[f43728]) ).
cnf(s4108,plain,
( ~ spl0_15
| ~ spl0_31 ),
inference(sat_conversion,[],[f43734]) ).
cnf(s4131,plain,
( spl0_54
| ~ spl0_234
| ~ spl0_369
| ~ spl0_521 ),
inference(sat_conversion,[],[f43886]) ).
cnf(s4135,plain,
( ~ spl0_11
| spl0_786
| spl0_787
| spl0_788
| ~ spl0_807 ),
inference(sat_conversion,[],[f43922]) ).
cnf(s4145,plain,
( ~ spl0_370
| ~ spl0_406 ),
inference(sat_conversion,[],[f43981]) ).
cnf(s4148,plain,
( ~ spl0_370
| ~ spl0_640 ),
inference(sat_conversion,[],[f44013]) ).
cnf(s4153,plain,
( ~ spl0_51
| ~ spl0_368
| ~ spl0_377 ),
inference(sat_conversion,[],[f44064]) ).
cnf(s4156,plain,
( ~ spl0_1
| spl0_53
| ~ spl0_368
| ~ spl0_377 ),
inference(sat_conversion,[],[f44072]) ).
cnf(s4173,plain,
( ~ spl0_8
| ~ spl0_411
| spl0_772 ),
inference(sat_conversion,[],[f44293]) ).
cnf(s4181,plain,
( ~ spl0_442
| ~ spl0_774
| spl0_787
| ~ spl0_807 ),
inference(sat_conversion,[],[f44342]) ).
cnf(s4182,plain,
( spl0_415
| ~ spl0_774
| spl0_787
| ~ spl0_807 ),
inference(sat_conversion,[],[f44343]) ).
cnf(s4190,plain,
( ~ spl0_255
| spl0_787
| ~ spl0_796
| ~ spl0_800 ),
inference(sat_conversion,[],[f44498]) ).
cnf(s4195,plain,
( ~ spl0_37
| spl0_779
| ~ spl0_809 ),
inference(sat_conversion,[],[f44567]) ).
cnf(s4199,plain,
( ~ spl0_370
| spl0_406
| ~ spl0_448
| ~ spl0_831 ),
inference(sat_conversion,[],[f44693]) ).
cnf(s4200,plain,
( ~ spl0_370
| ~ spl0_775
| spl0_787
| ~ spl0_838 ),
inference(sat_conversion,[],[f44739]) ).
cnf(s4203,plain,
( ~ spl0_8
| ~ spl0_398
| spl0_738 ),
inference(sat_conversion,[],[f44747]) ).
cnf(s4205,plain,
( spl0_406
| ~ spl0_442
| ~ spl0_775
| spl0_790 ),
inference(sat_conversion,[],[f44750]) ).
cnf(s4207,plain,
( ~ spl0_370
| spl0_377
| spl0_406
| ~ spl0_442 ),
inference(sat_conversion,[],[f44752]) ).
cnf(s4208,plain,
( spl0_278
| ~ spl0_370
| ~ spl0_374
| ~ spl0_396 ),
inference(sat_conversion,[],[f44753]) ).
cnf(s4235,plain,
( ~ spl0_67
| ~ spl0_274
| ~ spl0_375 ),
inference(sat_conversion,[],[f44933]) ).
cnf(s4241,plain,
( spl0_54
| ~ spl0_369
| ~ spl0_370
| ~ spl0_397 ),
inference(sat_conversion,[],[f44989]) ).
cnf(s4258,plain,
( ~ spl0_370
| ~ spl0_376
| spl0_389
| spl0_405 ),
inference(sat_conversion,[],[f45173]) ).
cnf(s4259,plain,
( spl0_377
| spl0_787
| ~ spl0_807
| ~ spl0_838 ),
inference(sat_conversion,[],[f45174]) ).
cnf(s4262,plain,
( ~ spl0_1
| spl0_53
| ~ spl0_790
| ~ spl0_806 ),
inference(sat_conversion,[],[f45178]) ).
cnf(s4267,plain,
( ~ spl0_37
| ~ spl0_274
| spl0_275
| spl0_382 ),
inference(sat_conversion,[],[f45214]) ).
cnf(s4283,plain,
( ~ spl0_366
| ~ spl0_789
| ~ spl0_806 ),
inference(sat_conversion,[],[f45373]) ).
cnf(s4291,plain,
( ~ spl0_37
| ~ spl0_440
| ~ spl0_482 ),
inference(sat_conversion,[],[f45451]) ).
cnf(s4301,plain,
( ~ spl0_67
| ~ spl0_403
| ~ spl0_405 ),
inference(sat_conversion,[],[f45665]) ).
cnf(s4305,plain,
( ~ spl0_366
| ~ spl0_376
| spl0_389
| ~ spl0_806
| ~ spl0_838 ),
inference(sat_conversion,[],[f45673]) ).
cnf(s4309,plain,
( ~ spl0_396
| spl0_406
| ~ spl0_774
| spl0_789 ),
inference(sat_conversion,[],[f45678]) ).
cnf(s4312,plain,
( ~ spl0_8
| ~ spl0_11
| spl0_37
| spl0_38 ),
inference(sat_conversion,[],[f45681]) ).
cnf(s4313,plain,
( ~ spl0_8
| ~ spl0_72
| spl0_795
| ~ spl0_806 ),
inference(sat_conversion,[],[f45683]) ).
cnf(s4314,plain,
( ~ spl0_8
| ~ spl0_11
| ~ spl0_72
| spl0_789
| ~ spl0_806 ),
inference(sat_conversion,[],[f45684]) ).
cnf(s4316,plain,
( ~ spl0_29
| spl0_37
| ~ spl0_43 ),
inference(sat_conversion,[],[f45688]) ).
cnf(s4317,plain,
( spl0_54
| ~ spl0_81
| ~ spl0_203
| ~ spl0_234 ),
inference(sat_conversion,[],[f45690]) ).
cnf(s4321,plain,
( spl0_3
| spl0_54
| ~ spl0_81
| ~ spl0_234 ),
inference(sat_conversion,[],[f45697]) ).
cnf(s4322,plain,
( ~ spl0_15
| spl0_31
| spl0_37
| ~ spl0_43 ),
inference(sat_conversion,[],[f45698]) ).
cnf(s4326,plain,
( ~ spl0_8
| spl0_38
| spl0_43 ),
inference(sat_conversion,[],[f45703]) ).
cnf(s4334,plain,
( ~ spl0_11
| spl0_45
| spl0_72
| ~ spl0_81 ),
inference(sat_conversion,[],[f45741]) ).
cnf(s4335,plain,
( ~ spl0_11
| ~ spl0_81
| spl0_278
| ~ spl0_466 ),
inference(sat_conversion,[],[f45743]) ).
cnf(s4336,plain,
( spl0_45
| spl0_54
| spl0_68
| ~ spl0_81
| ~ spl0_203 ),
inference(sat_conversion,[],[f45744]) ).
cnf(s4337,plain,
( spl0_37
| spl0_45
| spl0_68
| ~ spl0_81
| ~ spl0_203 ),
inference(sat_conversion,[],[f45746]) ).
cnf(s4358,plain,
( ~ spl0_72
| ~ spl0_368
| ~ spl0_772 ),
inference(sat_conversion,[],[f45906]) ).
cnf(s4371,plain,
( spl0_31
| ~ spl0_370
| ~ spl0_435
| ~ spl0_461 ),
inference(sat_conversion,[],[f46017]) ).
cnf(s4400,plain,
( ~ spl0_473
| ~ spl0_783
| ~ spl0_789 ),
inference(sat_conversion,[],[f46433]) ).
cnf(s4403,plain,
( ~ spl0_2
| ~ spl0_274
| spl0_779
| ~ spl0_783 ),
inference(sat_conversion,[],[f46439]) ).
cnf(s4404,plain,
( spl0_37
| ~ spl0_779
| spl0_787
| ~ spl0_801 ),
inference(sat_conversion,[],[f46441]) ).
cnf(s4407,plain,
( ~ spl0_8
| spl0_43
| ~ spl0_403
| spl0_435 ),
inference(sat_conversion,[],[f46445]) ).
cnf(s4446,plain,
( ~ spl0_2
| ~ spl0_405
| ~ spl0_776
| ~ spl0_789 ),
inference(sat_conversion,[],[f46969]) ).
cnf(s4451,plain,
( ~ spl0_11
| spl0_35
| ~ spl0_79
| spl0_262 ),
inference(sat_conversion,[],[f46979]) ).
cnf(s4457,plain,
( ~ spl0_53
| spl0_522 ),
inference(sat_conversion,[],[f47009]) ).
cnf(s4474,plain,
( ~ spl0_2
| ~ spl0_274
| ~ spl0_783
| ~ spl0_789 ),
inference(sat_conversion,[],[f47194]) ).
cnf(s4476,plain,
( spl0_3
| ~ spl0_376
| spl0_389
| ~ spl0_461 ),
inference(sat_conversion,[],[f47196]) ).
cnf(s4479,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f47199]) ).
cnf(s4480,plain,
( spl0_10
| ~ spl0_11
| ~ spl0_21 ),
inference(sat_conversion,[],[f47200]) ).
cnf(s4482,plain,
( ~ spl0_29
| spl0_274
| ~ spl0_381 ),
inference(sat_conversion,[],[f47202]) ).
cnf(s4490,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_789
| spl0_795 ),
inference(sat_conversion,[],[f47210]) ).
cnf(s4491,plain,
( ~ spl0_15
| ~ spl0_21
| spl0_29 ),
inference(sat_conversion,[],[f47211]) ).
cnf(s4493,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f47218]) ).
cnf(s4495,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_514 ),
inference(sat_conversion,[],[f47232]) ).
cnf(s4521,plain,
( spl0_275
| ~ spl0_372
| spl0_382
| ~ spl0_440 ),
inference(sat_conversion,[],[f47485]) ).
cnf(s4531,plain,
( ~ spl0_50
| ~ spl0_375
| spl0_519 ),
inference(sat_conversion,[],[f47637]) ).
cnf(s4533,plain,
( ~ spl0_371
| ~ spl0_403
| ~ spl0_519 ),
inference(sat_conversion,[],[f47655]) ).
cnf(s4537,plain,
( ~ spl0_50
| spl0_53
| spl0_67 ),
inference(sat_conversion,[],[f47661]) ).
cnf(s4538,plain,
( ~ spl0_50
| spl0_79
| spl0_234 ),
inference(sat_conversion,[],[f47662]) ).
cnf(s4539,plain,
( ~ spl0_3
| spl0_381
| ~ spl0_520 ),
inference(sat_conversion,[],[f47664]) ).
cnf(s4540,plain,
( ~ spl0_376
| spl0_389
| spl0_789
| ~ spl0_838 ),
inference(sat_conversion,[],[f47665]) ).
cnf(s4544,plain,
( ~ spl0_2
| spl0_396
| ~ spl0_776
| ~ spl0_789 ),
inference(sat_conversion,[],[f47669]) ).
cnf(s4545,plain,
( ~ spl0_2
| ~ spl0_405
| ~ spl0_773
| spl0_779 ),
inference(sat_conversion,[],[f47671]) ).
cnf(s4572,plain,
( ~ spl0_368
| ~ spl0_371
| ~ spl0_450 ),
inference(sat_conversion,[],[f47928]) ).
cnf(s4573,plain,
( ~ spl0_450
| ~ spl0_776
| ~ spl0_806 ),
inference(sat_conversion,[],[f47930]) ).
cnf(s4574,plain,
( spl0_234
| ~ spl0_348 ),
inference(sat_conversion,[],[f47933]) ).
cnf(s4587,plain,
( ~ spl0_519
| ~ spl0_783
| spl0_796 ),
inference(sat_conversion,[],[f48044]) ).
cnf(s4589,plain,
( spl0_395
| ~ spl0_519
| ~ spl0_783
| spl0_796 ),
inference(sat_conversion,[],[f48049]) ).
cnf(s4609,plain,
( ~ spl0_368
| ~ spl0_783
| ~ spl0_809 ),
inference(sat_conversion,[],[f48203]) ).
cnf(s4610,plain,
( ~ spl0_72
| ~ spl0_788
| ~ spl0_809 ),
inference(sat_conversion,[],[f48206]) ).
cnf(s4611,plain,
( ~ spl0_72
| spl0_795
| ~ spl0_809 ),
inference(sat_conversion,[],[f48208]) ).
cnf(s4612,plain,
( ~ spl0_3
| spl0_407
| ~ spl0_482 ),
inference(sat_conversion,[],[f48209]) ).
cnf(s4613,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_405
| spl0_435 ),
inference(sat_conversion,[],[f48210]) ).
cnf(s4627,plain,
( ~ spl0_15
| spl0_31
| ~ spl0_43
| ~ spl0_202 ),
inference(sat_conversion,[],[f48269]) ).
cnf(s4643,plain,
( ~ spl0_206
| ~ spl0_398
| ~ spl0_405 ),
inference(sat_conversion,[],[f48366]) ).
cnf(s4645,plain,
( ~ spl0_2
| spl0_81
| ~ spl0_274
| ~ spl0_368 ),
inference(sat_conversion,[],[f48369]) ).
cnf(s4679,plain,
( ~ spl0_2
| spl0_15
| ~ spl0_274
| ~ spl0_453 ),
inference(sat_conversion,[],[f48540]) ).
cnf(s4681,plain,
( ~ spl0_15
| spl0_31
| spl0_405
| ~ spl0_435 ),
inference(sat_conversion,[],[f48542]) ).
cnf(s4703,plain,
( ~ spl0_514
| ~ spl0_785
| ~ spl0_789 ),
inference(sat_conversion,[],[f48669]) ).
cnf(s4714,plain,
( ~ spl0_235
| ~ spl0_403
| ~ spl0_436 ),
inference(sat_conversion,[],[f48780]) ).
cnf(s4717,plain,
( spl0_275
| ~ spl0_372
| spl0_394 ),
inference(sat_conversion,[],[f48824]) ).
cnf(s4732,plain,
( spl0_393
| ~ spl0_776
| spl0_777 ),
inference(sat_conversion,[],[f48985]) ).
cnf(s4734,plain,
( ~ spl0_371
| spl0_382
| ~ spl0_851 ),
inference(sat_conversion,[],[f49013]) ).
cnf(s4745,plain,
( ~ spl0_50
| ~ spl0_372
| spl0_382
| ~ spl0_403 ),
inference(sat_conversion,[],[f49096]) ).
cnf(s4747,plain,
( spl0_45
| ~ spl0_50
| ~ spl0_372
| spl0_382
| ~ spl0_403 ),
inference(sat_conversion,[],[f49099]) ).
cnf(s4755,plain,
( ~ spl0_521
| spl0_785
| spl0_787
| ~ spl0_838 ),
inference(sat_conversion,[],[f49212]) ).
cnf(s4756,plain,
( ~ spl0_521
| spl0_787
| ~ spl0_800
| ~ spl0_838 ),
inference(sat_conversion,[],[f49213]) ).
cnf(s4758,plain,
( ~ spl0_50
| ~ spl0_403
| ~ spl0_773
| spl0_796 ),
inference(sat_conversion,[],[f49217]) ).
cnf(s4781,plain,
( spl0_782
| spl0_783
| spl0_838 ),
inference(sat_conversion,[],[f49343]) ).
cnf(s4785,plain,
( ~ spl0_396
| ~ spl0_775
| ~ spl0_779
| spl0_787 ),
inference(sat_conversion,[],[f49385]) ).
cnf(s4786,plain,
( spl0_405
| ~ spl0_775
| ~ spl0_779
| spl0_787 ),
inference(sat_conversion,[],[f49386]) ).
cnf(s4788,plain,
( ~ spl0_374
| ~ spl0_382
| spl0_389
| ~ spl0_522 ),
inference(sat_conversion,[],[f49388]) ).
cnf(s4789,plain,
( spl0_37
| ~ spl0_369
| ~ spl0_376
| spl0_389 ),
inference(sat_conversion,[],[f49389]) ).
cnf(s4791,plain,
( spl0_54
| ~ spl0_81
| spl0_274
| ~ spl0_382 ),
inference(sat_conversion,[],[f49391]) ).
cnf(s4792,plain,
( spl0_35
| ~ spl0_374
| ~ spl0_382
| spl0_389 ),
inference(sat_conversion,[],[f49392]) ).
cnf(s4793,plain,
( ~ spl0_53
| spl0_54
| ~ spl0_369
| spl0_377 ),
inference(sat_conversion,[],[f49394]) ).
cnf(s4794,plain,
( ~ spl0_6
| ~ spl0_276
| spl0_381 ),
inference(sat_conversion,[],[f49396]) ).
cnf(s4797,plain,
( ~ spl0_37
| spl0_50
| spl0_51 ),
inference(sat_conversion,[],[f49416]) ).
cnf(s4800,plain,
( ~ spl0_37
| spl0_43
| ~ spl0_206 ),
inference(sat_conversion,[],[f49417]) ).
cnf(s4836,plain,
( ~ spl0_374
| spl0_389
| spl0_790
| ~ spl0_825 ),
inference(sat_conversion,[],[f49664]) ).
cnf(s4837,plain,
( spl0_274
| ~ spl0_779
| spl0_787
| ~ spl0_825 ),
inference(sat_conversion,[],[f49665]) ).
cnf(s4838,plain,
( spl0_275
| ~ spl0_372
| spl0_382
| ~ spl0_440 ),
inference(sat_conversion,[],[f49666]) ).
cnf(s4839,plain,
( ~ spl0_368
| ~ spl0_371
| spl0_393
| spl0_397 ),
inference(sat_conversion,[],[f49667]) ).
cnf(s4841,plain,
( ~ spl0_206
| ~ spl0_788
| ~ spl0_789 ),
inference(sat_conversion,[],[f49669]) ).
cnf(s4846,plain,
( ~ spl0_53
| spl0_55
| spl0_266 ),
inference(sat_conversion,[],[f49699]) ).
cnf(s4858,plain,
( spl0_50
| ~ spl0_368
| spl0_378 ),
inference(sat_conversion,[],[f49756]) ).
cnf(s4860,plain,
( spl0_395
| spl0_407
| spl0_436 ),
inference(sat_conversion,[],[f49768]) ).
cnf(s4863,plain,
( spl0_8
| spl0_404
| ~ spl0_436 ),
inference(sat_conversion,[],[f49790]) ).
cnf(s4865,plain,
( ~ spl0_206
| ~ spl0_789
| spl0_795 ),
inference(sat_conversion,[],[f49802]) ).
cnf(s4873,plain,
( spl0_35
| ~ spl0_397
| spl0_406
| ~ spl0_442 ),
inference(sat_conversion,[],[f49837]) ).
cnf(s4874,plain,
( spl0_2
| ~ spl0_35
| spl0_51 ),
inference(sat_conversion,[],[f49846]) ).
cnf(s4884,plain,
( ~ spl0_108
| spl0_779 ),
inference(sat_conversion,[],[f49888]) ).
cnf(s4886,plain,
( spl0_383
| spl0_440
| spl0_448 ),
inference(sat_conversion,[],[f49927]) ).
cnf(s4891,plain,
( ~ spl0_53
| spl0_54
| ~ spl0_442
| ~ spl0_448 ),
inference(sat_conversion,[],[f49946]) ).
cnf(s4892,plain,
( ~ spl0_53
| spl0_54
| spl0_415
| ~ spl0_448 ),
inference(sat_conversion,[],[f49948]) ).
cnf(s4911,plain,
( spl0_50
| ~ spl0_440
| spl0_450 ),
inference(sat_conversion,[],[f50062]) ).
cnf(s4912,plain,
( spl0_786
| spl0_788
| spl0_795 ),
inference(sat_conversion,[],[f50067]) ).
cnf(s4926,plain,
( ~ spl0_53
| spl0_54
| spl0_790
| ~ spl0_801 ),
inference(sat_conversion,[],[f50163]) ).
cnf(s4928,plain,
( spl0_41
| spl0_43
| ~ spl0_403
| spl0_851 ),
inference(sat_conversion,[],[f50165]) ).
cnf(s4930,plain,
( ~ spl0_15
| spl0_31
| spl0_274
| ~ spl0_381 ),
inference(sat_conversion,[],[f50167]) ).
cnf(s4934,plain,
( spl0_6
| ~ spl0_374
| ~ spl0_381
| spl0_389 ),
inference(sat_conversion,[],[f50173]) ).
cnf(s4937,plain,
( ~ spl0_15
| spl0_26
| spl0_480 ),
inference(sat_conversion,[],[f50192]) ).
cnf(s4942,plain,
( spl0_41
| spl0_50
| ~ spl0_72 ),
inference(sat_conversion,[],[f50215]) ).
cnf(s4947,plain,
( spl0_8
| spl0_41
| ~ spl0_68 ),
inference(sat_conversion,[],[f50255]) ).
cnf(s4955,plain,
( spl0_395
| spl0_398
| spl0_435 ),
inference(sat_conversion,[],[f50284]) ).
cnf(s4958,plain,
( spl0_2
| ~ spl0_790
| spl0_791 ),
inference(sat_conversion,[],[f50300]) ).
cnf(s4960,plain,
( spl0_785
| spl0_786
| spl0_800 ),
inference(sat_conversion,[],[f50307]) ).
cnf(s4961,plain,
( spl0_8
| ~ spl0_785
| spl0_794 ),
inference(sat_conversion,[],[f50315]) ).
cnf(s4973,plain,
( spl0_41
| spl0_43
| ~ spl0_68
| spl0_235 ),
inference(sat_conversion,[],[f50497]) ).
cnf(s4974,plain,
( ~ spl0_6
| ~ spl0_414
| spl0_435 ),
inference(sat_conversion,[],[f50498]) ).
cnf(s4975,plain,
( ~ spl0_377
| ~ spl0_783
| ~ spl0_791 ),
inference(sat_conversion,[],[f50499]) ).
cnf(s4976,plain,
( ~ spl0_37
| spl0_393
| spl0_397
| ~ spl0_405 ),
inference(sat_conversion,[],[f50500]) ).
cnf(s4979,plain,
( spl0_54
| ~ spl0_81
| spl0_789
| ~ spl0_796 ),
inference(sat_conversion,[],[f50503]) ).
cnf(s4985,plain,
( ~ spl0_6
| ~ spl0_791
| spl0_795 ),
inference(sat_conversion,[],[f50510]) ).
cnf(s4988,plain,
( spl0_274
| ~ spl0_373
| ~ spl0_396
| spl0_406 ),
inference(sat_conversion,[],[f50513]) ).
cnf(s4989,plain,
( ~ spl0_373
| ~ spl0_374
| spl0_389
| spl0_415 ),
inference(sat_conversion,[],[f50514]) ).
cnf(s4993,plain,
( ~ spl0_3
| spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f50530]) ).
cnf(s4995,plain,
( spl0_26
| ~ spl0_81
| spl0_228 ),
inference(sat_conversion,[],[f50546]) ).
cnf(s4997,plain,
( spl0_55
| spl0_66
| ~ spl0_81 ),
inference(sat_conversion,[],[f50547]) ).
cnf(s5009,plain,
( spl0_2
| spl0_276
| ~ spl0_377 ),
inference(sat_conversion,[],[f50589]) ).
cnf(s5010,plain,
( ~ spl0_274
| spl0_275
| spl0_276 ),
inference(sat_conversion,[],[f50596]) ).
cnf(s5012,plain,
( spl0_55
| spl0_59
| ~ spl0_234 ),
inference(sat_conversion,[],[f50611]) ).
cnf(s5021,plain,
( spl0_8
| spl0_380
| ~ spl0_453 ),
inference(sat_conversion,[],[f50669]) ).
cnf(s5025,plain,
( ~ spl0_13
| ~ spl0_377
| ~ spl0_453 ),
inference(sat_conversion,[],[f50690]) ).
cnf(s5026,plain,
( ~ spl0_368
| spl0_379
| spl0_380
| spl0_381 ),
inference(sat_conversion,[],[f50691]) ).
cnf(s5027,plain,
( ~ spl0_13
| ~ spl0_785
| ~ spl0_790 ),
inference(sat_conversion,[],[f50692]) ).
cnf(s5032,plain,
( spl0_393
| ~ spl0_405
| spl0_414 ),
inference(sat_conversion,[],[f50718]) ).
cnf(s5034,plain,
( spl0_275
| spl0_380
| ~ spl0_411 ),
inference(sat_conversion,[],[f50734]) ).
cnf(s5036,plain,
( ~ spl0_6
| spl0_275
| spl0_376
| ~ spl0_411 ),
inference(sat_conversion,[],[f50738]) ).
cnf(s5038,plain,
( spl0_2
| spl0_414
| ~ spl0_415 ),
inference(sat_conversion,[],[f50746]) ).
cnf(s5042,plain,
( ~ spl0_72
| spl0_393
| spl0_397
| ~ spl0_398 ),
inference(sat_conversion,[],[f50781]) ).
cnf(s5052,plain,
( spl0_393
| ~ spl0_403
| spl0_450 ),
inference(sat_conversion,[],[f50840]) ).
cnf(s5056,plain,
( ~ spl0_371
| spl0_393
| spl0_394 ),
inference(sat_conversion,[],[f50871]) ).
cnf(s5057,plain,
( ~ spl0_371
| spl0_380
| spl0_381
| spl0_470 ),
inference(sat_conversion,[],[f50872]) ).
cnf(s5059,plain,
( spl0_792
| spl0_801
| spl0_806 ),
inference(sat_conversion,[],[f50878]) ).
cnf(s5060,plain,
( spl0_50
| ~ spl0_806
| spl0_809 ),
inference(sat_conversion,[],[f50885]) ).
cnf(s5061,plain,
( ~ spl0_3
| ~ spl0_274
| ~ spl0_380 ),
inference(sat_conversion,[],[f50904]) ).
cnf(s5063,plain,
( ~ spl0_3
| spl0_376
| ~ spl0_380 ),
inference(sat_conversion,[],[f50907]) ).
cnf(s5067,plain,
( spl0_26
| ~ spl0_376
| spl0_413 ),
inference(sat_conversion,[],[f50927]) ).
cnf(s5071,plain,
( spl0_383
| spl0_453
| spl0_461 ),
inference(sat_conversion,[],[f50949]) ).
cnf(s5081,plain,
( ~ spl0_787
| ~ spl0_838 ),
inference(sat_conversion,[],[f51042]) ).
cnf(s5088,plain,
( ~ spl0_203
| ~ spl0_779
| spl0_785
| spl0_787 ),
inference(rat,[],[s3477,s3492]) ).
cnf(s5106,plain,
~ spl0_782,
inference(rat,[],[s3565,s1552]) ).
cnf(s5109,plain,
( ~ spl0_2
| ~ spl0_259
| ~ spl0_274
| ~ spl0_371
| spl0_383 ),
inference(rat,[],[s1495,s1522]) ).
cnf(s5110,plain,
( ~ spl0_249
| ~ spl0_371
| ~ spl0_377
| spl0_383 ),
inference(rat,[],[s1494,s1522]) ).
cnf(s5116,plain,
~ spl0_247,
inference(rat,[],[s1404,s3312]) ).
cnf(s5182,plain,
( ~ spl0_8
| ~ spl0_11
| spl0_43
| ~ spl0_55
| ~ spl0_82 ),
inference(rat,[],[s601,s5116]) ).
cnf(s5267,plain,
( ~ spl0_779
| ~ spl0_41
| spl0_37
| ~ spl0_203 ),
inference(rat,[],[s3580,s4404,s5088,s3512,s1522]) ).
cnf(s5268,plain,
( ~ spl0_274
| ~ spl0_775
| spl0_779
| ~ spl0_259
| ~ spl0_2 ),
inference(rat,[],[s4200,s5081,s4781,s4403,s4104,s5109,s5106,s1693,s1448]) ).
cnf(s5270,plain,
( spl0_779
| ~ spl0_274
| ~ spl0_259
| ~ spl0_405
| ~ spl0_2 ),
inference(rat,[],[s3466,s4446,s5268,s3832,s1693]) ).
cnf(s5272,plain,
( ~ spl0_274
| spl0_67
| spl0_779
| ~ spl0_79
| ~ spl0_405
| ~ spl0_72
| spl0_37
| ~ spl0_11
| ~ spl0_203
| ~ spl0_2 ),
inference(rat,[],[s3701,s1806,s3981,s2129,s1498,s4942,s4104,s667,s4200,s4451,s4781,s678,s4403,s5270,s3466,s4446,s3832,s3579,s3465,s4545,s1448,s1522,s1693,s5106]) ).
cnf(s5273,plain,
( spl0_274
| spl0_54
| ~ spl0_38
| ~ spl0_81
| ~ spl0_29 ),
inference(rat,[],[s1671,s1660,s4791,s4482,s1448]) ).
cnf(s5274,plain,
( ~ spl0_397
| ~ spl0_774
| ~ spl0_78 ),
inference(rat,[],[s2219,s3539,s3492]) ).
cnf(s5275,plain,
( spl0_779
| ~ spl0_79
| ~ spl0_405
| ~ spl0_38
| spl0_37
| ~ spl0_11
| ~ spl0_15
| ~ spl0_2 ),
inference(rat,[],[s5274,s2141,s3872,s3465,s5272,s4545,s2112,s3738,s4316,s5273,s162,s596,s463,s4491,s2113,s1693,s64]) ).
cnf(s5276,plain,
( spl0_37
| ~ spl0_8
| ~ spl0_11
| ~ spl0_15
| ~ spl0_2 ),
inference(rat,[],[s4104,s1498,s4200,s4785,s4781,s3466,s4474,s4446,s4979,s3531,s3512,s3688,s5275,s5273,s2253,s3987,s162,s3738,s479,s4312,s463,s596,s4316,s4491,s2113,s1693,s5106,s3492,s1448,s64]) ).
cnf(s5277,plain,
( ~ spl0_72
| spl0_779
| ~ spl0_471
| ~ spl0_8
| ~ spl0_11
| ~ spl0_15
| ~ spl0_2 ),
inference(rat,[],[s4077,s4781,s3932,s4403,s4645,s4930,s1660,s2040,s4104,s4148,s477,s2782,s1805,s1540,s2129,s1992,s4545,s3465,s3538,s4886,s3729,s3459,s3581,s4108,s3386,s3573,s3533,s5059,s4283,s3832,s1970,s5276,s5106,s1693,s1448,s1522,s3829]) ).
cnf(s5278,plain,
( ~ spl0_274
| spl0_81
| ~ spl0_801
| spl0_787
| spl0_779
| ~ spl0_2 ),
inference(rat,[],[s4077,s4781,s3932,s4403,s4645,s5106,s1693]) ).
cnf(s5279,plain,
( ~ spl0_405
| spl0_787
| spl0_779
| ~ spl0_366
| ~ spl0_2 ),
inference(rat,[],[s3465,s3538,s4545,s3764,s5059,s4283,s3832,s1693,s1448,s3829]) ).
cnf(s5280,plain,
( spl0_779
| ~ spl0_471
| ~ spl0_8
| ~ spl0_11
| ~ spl0_15
| ~ spl0_2 ),
inference(rat,[],[s4104,s3945,s4258,s5279,s4173,s1578,s1660,s1587,s2882,s4482,s5278,s480,s5277,s5059,s3573,s4283,s3533,s3832,s4491,s2113,s1970,s5276,s1693,s1522,s1448,s3829]) ).
cnf(s5281,plain,
( ~ spl0_72
| spl0_787
| ~ spl0_788
| ~ spl0_366
| ~ spl0_471
| ~ spl0_8
| ~ spl0_11
| ~ spl0_29
| ~ spl0_2 ),
inference(rat,[],[s4781,s3560,s4077,s4173,s3932,s1660,s1428,s4482,s1498,s4104,s4148,s2782,s1703,s3984,s3361,s4203,s4041,s3465,s3538,s4886,s3572,s3729,s3459,s3581,s540,s3386,s5106,s1693,s1448,s1522,s3492]) ).
cnf(s5282,plain,
( ~ spl0_405
| ~ spl0_274
| ~ spl0_37
| ~ spl0_2 ),
inference(rat,[],[s3616,s2195,s2219,s1731,s1955,s1490,s3733,s3731,s1693]) ).
cnf(s5283,plain,
( ~ spl0_274
| spl0_81
| ~ spl0_466
| spl0_787
| ~ spl0_788
| ~ spl0_37
| ~ spl0_8
| ~ spl0_11
| ~ spl0_2 ),
inference(rat,[],[s4041,s3465,s4203,s4309,s1540,s2129,s1992,s5282,s4283,s5059,s4077,s4781,s3560,s4173,s1660,s4061,s4000,s3932,s3937,s3733,s4645,s3731,s1970,s1693,s3829,s5106,s1448]) ).
cnf(s5284,plain,
( ~ spl0_405
| ~ spl0_789
| ~ spl0_838
| ~ spl0_772
| ~ spl0_466
| spl0_787
| ~ spl0_37
| ~ spl0_2 ),
inference(rat,[],[s4104,s3940,s4200,s2184,s3466,s2219,s4446,s3764,s1955,s1970,s1693,s1448]) ).
cnf(s5285,plain,
( ~ spl0_8
| spl0_6
| ~ spl0_15
| ~ spl0_2 ),
inference(rat,[],[s4104,s3945,s4258,s5284,s4540,s4781,s3560,s4173,s1578,s1660,s1587,s2882,s4482,s5283,s480,s1966,s5281,s3512,s3688,s5280,s1970,s5276,s2254,s4491,s2113,s4493,s1693,s1522,s5106,s1448,s64,s3492]) ).
cnf(s5286,plain,
( ~ spl0_396
| ~ spl0_41
| spl0_37
| ~ spl0_203 ),
inference(rat,[],[s3701,s1806,s3981,s2129,s1448,s1522]) ).
cnf(s5287,plain,
( ~ spl0_274
| spl0_396
| spl0_779
| ~ spl0_2 ),
inference(rat,[],[s4200,s4104,s1498,s5081,s4781,s4403,s3466,s4544,s3832,s1693,s5106]) ).
cnf(s5288,plain,
( spl0_37
| spl0_8
| ~ spl0_203
| ~ spl0_2 ),
inference(rat,[],[s5021,s3750,s1578,s1729,s1587,s2882,s5287,s5286,s5267,s4947,s4337,s4997,s463,s596,s1448,s1693,s64]) ).
cnf(s5289,plain,
( ~ spl0_81
| ~ spl0_404
| spl0_405
| ~ spl0_203 ),
inference(rat,[],[s4101,s4336,s3702,s542,s64]) ).
cnf(s5290,plain,
( spl0_779
| ~ spl0_831
| ~ spl0_274
| ~ spl0_37
| ~ spl0_2 ),
inference(rat,[],[s4077,s5059,s3573,s4781,s4283,s3533,s4403,s3832,s1970,s3829,s5106]) ).
cnf(s5291,plain,
( ~ spl0_274
| spl0_8
| ~ spl0_203
| ~ spl0_2 ),
inference(rat,[],[s3466,s4055,s4786,s5088,s3512,s5290,s3932,s4645,s5289,s4863,s3981,s2129,s1992,s5282,s5288,s1693,s1522]) ).
cnf(s5292,plain,
( spl0_405
| spl0_389
| ~ spl0_376
| ~ spl0_7
| spl0_3 ),
inference(rat,[],[s3641,s4104,s2103,s2129,s4258,s1992,s3750,s2112,s12,s1693,s1448]) ).
cnf(s5293,plain,
( spl0_779
| ~ spl0_405
| ~ spl0_366
| ~ spl0_2 ),
inference(rat,[],[s3579,s3465,s5279,s4545,s1693]) ).
cnf(s5294,plain,
( spl0_8
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s1827,s2006,s4947,s3641,s1860,s4104,s3932,s4200,s4077,s3466,s5059,s4446,s4305,s4540,s4781,s3621,s3512,s5293,s2219,s1955,s5292,s3750,s1578,s1587,s2882,s5291,s1970,s5288,s4,s2112,s12,s64,s1693,s3829,s5106,s1448]) ).
cnf(s5295,plain,
( spl0_779
| spl0_37
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s3466,s4446,s3870,s3702,s4955,s4102,s4203,s4714,s3727,s4973,s1786,s3921,s5286,s1806,s3981,s4865,s5287,s3832,s1704,s2095,s2037,s5285,s3738,s4337,s2112,s5273,s162,s596,s463,s4326,s4316,s5294,s4491,s2113,s12,s1693,s1522,s64]) ).
cnf(s5296,plain,
( ~ spl0_405
| ~ spl0_795
| ~ spl0_50
| spl0_787
| ~ spl0_274
| spl0_54
| ~ spl0_53
| ~ spl0_81
| ~ spl0_206
| ~ spl0_2 ),
inference(rat,[],[s4781,s4589,s4540,s4979,s4531,s4446,s3699,s3466,s3879,s3870,s1810,s4955,s3616,s4643,s1731,s1704,s1580,s2095,s731,s5106,s1522,s1693]) ).
cnf(s5297,plain,
( spl0_37
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s4102,s4407,s3702,s4681,s5296,s4313,s5059,s4942,s4404,s5267,s3512,s5295,s5273,s162,s3349,s4326,s3738,s463,s596,s4316,s4108,s2112,s4491,s2113,s86,s2037,s5285,s12,s5294,s3829,s64]) ).
cnf(s5298,plain,
( ~ spl0_274
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s4104,s4258,s2040,s1661,s1660,s4061,s4955,s3937,s4681,s4645,s5282,s1580,s2095,s1975,s477,s4627,s4800,s5297,s2037,s5285,s5294,s4108,s12,s1693,s1448,s1522]) ).
cnf(s5300,plain,
( ~ spl0_405
| ~ spl0_466
| ~ spl0_366
| ~ spl0_206 ),
inference(rat,[],[s2184,s4955,s3764,s4643,s1704,s2095,s1522,s1448]) ).
cnf(s5301,plain,
( spl0_3
| ~ spl0_2 ),
inference(rat,[],[s4104,s3941,s4258,s5300,s4173,s1660,s1587,s4482,s5298,s1975,s4800,s1970,s5297,s1580,s2095,s2037,s5285,s5294,s4491,s2113,s12,s1693,s1522,s1448]) ).
cnf(s5302,plain,
( spl0_779
| ~ spl0_53
| ~ spl0_206
| spl0_43
| ~ spl0_203
| ~ spl0_274
| spl0_37
| ~ spl0_2 ),
inference(rat,[],[s3702,s4102,s5296,s4714,s4942,s4973,s3921,s5286,s3981,s4865,s5287,s3832,s1704,s4479,s5301,s162,s596,s4337,s463,s3738,s1522,s64]) ).
cnf(s5303,plain,
( ~ spl0_15
| ~ spl0_274
| ~ spl0_8
| spl0_37
| ~ spl0_2 ),
inference(rat,[],[s4102,s4407,s3702,s4681,s5296,s4313,s5059,s4942,s4404,s5267,s3512,s5302,s3349,s3738,s86,s2037,s4322,s5285,s2112,s4108,s463,s162,s596,s3829,s64]) ).
cnf(s5304,plain,
( spl0_779
| ~ spl0_521
| ~ spl0_274
| ~ spl0_2 ),
inference(rat,[],[s4755,s3921,s4781,s4703,s4490,s4403,s3832,s4495,s5301,s5106]) ).
cnf(s5305,plain,
( ~ spl0_795
| ~ spl0_206
| ~ spl0_405
| spl0_15
| ~ spl0_274
| spl0_37
| ~ spl0_2 ),
inference(rat,[],[s2088,s3734,s4537,s4531,s5296,s5060,s4609,s4587,s4781,s4540,s4979,s4446,s3466,s3870,s463,s162,s596,s4539,s3731,s2059,s5059,s4404,s3512,s5304,s3669,s5071,s4679,s3937,s4789,s1810,s3616,s1731,s1704,s4613,s1580,s4479,s5301,s1693,s5106,s3829,s1448]) ).
cnf(s5306,plain,
( ~ spl0_405
| ~ spl0_274
| ~ spl0_8
| spl0_37
| ~ spl0_2 ),
inference(rat,[],[s3734,s4531,s4538,s5060,s4609,s4587,s4781,s3556,s4540,s4979,s4865,s4912,s5305,s2037,s3937,s4493,s4789,s2121,s1810,s3616,s1731,s4613,s1704,s1580,s4479,s463,s162,s596,s4539,s3731,s5301,s1732,s2059,s5059,s4404,s3512,s5304,s3669,s5071,s4679,s5303,s1693,s5106,s1522,s3492,s1448,s3829]) ).
cnf(s5307,plain,
( ~ spl0_789
| ~ spl0_521
| ~ spl0_274
| ~ spl0_2 ),
inference(rat,[],[s4755,s4781,s4703,s4474,s4495,s5301,s3512,s5304,s5106]) ).
cnf(s5308,plain,
( ~ spl0_274
| ~ spl0_8
| spl0_37
| ~ spl0_2 ),
inference(rat,[],[s3465,s4758,s4309,s4979,s5307,s4911,s4573,s1786,s3466,s4102,s1806,s4786,s3702,s1992,s5306,s5059,s4404,s3512,s5304,s3669,s5071,s4679,s5303,s1704,s4479,s5301,s463,s162,s596,s1693,s3829,s1448]) ).
cnf(s5309,plain,
( ~ spl0_15
| spl0_274
| ~ spl0_8
| spl0_37 ),
inference(rat,[],[s4326,s5273,s4322,s4491,s2113,s4108,s463,s162,s596]) ).
cnf(s5310,plain,
( ~ spl0_789
| ~ spl0_405
| spl0_787
| ~ spl0_2 ),
inference(rat,[],[s3466,s3870,s4446,s4490,s4613,s5301,s1693]) ).
cnf(s5311,plain,
( ~ spl0_11
| ~ spl0_806
| spl0_789
| ~ spl0_8
| ~ spl0_81 ),
inference(rat,[],[s4334,s4314,s64]) ).
cnf(s5312,plain,
( ~ spl0_53
| ~ spl0_271
| ~ spl0_376 ),
inference(rat,[],[s3879,s731]) ).
cnf(s5313,plain,
( ~ spl0_405
| spl0_787
| ~ spl0_8
| spl0_37
| ~ spl0_2 ),
inference(rat,[],[s2006,s781,s2141,s2088,s4537,s5312,s3699,s4531,s5060,s4609,s4587,s5059,s4781,s4404,s4540,s4979,s3832,s5310,s1921,s1704,s463,s162,s596,s3937,s4789,s1587,s1580,s4479,s5301,s5309,s5308,s1693,s3829,s5106]) ).
cnf(s5314,plain,
( spl0_405
| spl0_274
| spl0_37
| ~ spl0_4 ),
inference(rat,[],[s4911,s4745,s4572,s3616,s1786,s4104,s4102,s4988,s1806,s4258,s3702,s1992,s1704,s4791,s463,s162,s596,s3937,s4789,s1587,s1580,s1693]) ).
cnf(s5315,plain,
( ~ spl0_787
| ~ spl0_2 ),
inference(rat,[],[s3832,s4490,s3512,s3921,s5301]) ).
cnf(s5316,plain,
( ~ spl0_8
| spl0_37
| ~ spl0_2 ),
inference(rat,[],[s5314,s5313,s5308,s4479,s5301,s5315]) ).
cnf(s5317,plain,
( ~ spl0_376
| ~ spl0_806
| spl0_789
| ~ spl0_21
| ~ spl0_381
| ~ spl0_16
| spl0_37
| spl0_389 ),
inference(rat,[],[s142,s1839,s5312,s3734,s3699,s4531,s5060,s4609,s4587,s4781,s3937,s4540,s4789,s4979,s463,s162,s596,s1693,s5106]) ).
cnf(s5318,plain,
( ~ spl0_405
| spl0_376
| ~ spl0_274
| ~ spl0_2 ),
inference(rat,[],[s3616,s1810,s1731,s4613,s1704,s4479,s5301,s1693]) ).
cnf(s5319,plain,
( ~ spl0_274
| spl0_37
| ~ spl0_2 ),
inference(rat,[],[s4911,s4758,s4573,s3465,s1786,s3466,s4102,s4309,s1806,s4786,s3702,s1992,s5318,s5317,s5059,s4979,s4404,s5307,s5304,s2059,s3669,s5071,s1733,s4679,s1704,s1580,s4479,s5315,s463,s162,s596,s1296,s4993,s5301,s2112,s5288,s5316,s1693,s3829,s1448]) ).
cnf(s5320,plain,
( spl0_37
| ~ spl0_2 ),
inference(rat,[],[s2006,s2141,s781,s4537,s4538,s5312,s444,s3699,s1671,s4531,s1660,s5060,s5317,s4609,s4587,s5059,s4781,s4404,s4540,s4979,s3832,s3937,s5310,s1746,s1921,s4789,s5314,s4791,s1587,s5319,s2112,s1296,s5288,s4993,s5316,s162,s463,s596,s2159,s1704,s1580,s4479,s5301,s5315,s1693,s1448,s3829,s5106]) ).
cnf(s5321,plain,
( ~ spl0_520
| ~ spl0_2 ),
inference(rat,[],[s3734,s3732,s4539,s778,s2084,s5320,s2159,s5301,s1693]) ).
cnf(s5322,plain,
( ~ spl0_405
| ~ spl0_2 ),
inference(rat,[],[s2184,s3764,s4613,s1704,s4479,s1975,s2107,s1970,s5320,s5301,s1448]) ).
cnf(s5324,plain,
( ~ spl0_789
| ~ spl0_2 ),
inference(rat,[],[s4960,s4190,s4703,s3533,s4495,s5315,s781,s2084,s5320,s2159,s5301,s3492]) ).
cnf(s5325,plain,
( ~ spl0_3
| ~ spl0_2 ),
inference(rat,[],[s3465,s4071,s4309,s4540,s5324,s4104,s4258,s5322,s4717,s3616,s3856,s4988,s4837,s1587,s3731,s5321,s3466,s4785,s2238,s4884,s182,s161,s2107,s1970,s5320,s5315,s82,s1580,s1704,s2159,s4479,s1552,s1448,s1693]) ).
cnf(s5326,plain,
~ spl0_2,
inference(rat,[],[s5325,s5301]) ).
cnf(s5327,plain,
spl0_1,
inference(rat,[],[s1,s5326]) ).
cnf(s5328,plain,
( ~ spl0_11
| ~ spl0_783
| ~ spl0_381
| ~ spl0_801
| spl0_389
| ~ spl0_8
| spl0_37 ),
inference(rat,[],[s4241,s3627,s3937,s142,s4156,s4926,s4104,s4958,s5110,s4975,s5038,s1482,s607,s1898,s1476,s467,s162,s596,s1693,s5327,s5326,s1448,s1522]) ).
cnf(s5329,plain,
( spl0_11
| ~ spl0_801
| spl0_348
| spl0_43
| ~ spl0_15
| ~ spl0_789
| ~ spl0_8
| spl0_787
| ~ spl0_405
| spl0_54 ),
inference(rat,[],[s3727,s1786,s3680,s5032,s4891,s3671,s3849,s3848,s3466,s3870,s4955,s4926,s4937,s4865,s4643,s3349,s1817,s2037,s14,s13,s4493,s3738,s1522,s5327,s1693,s64]) ).
cnf(s5330,plain,
( ~ spl0_381
| ~ spl0_11
| ~ spl0_801
| spl0_389
| ~ spl0_8
| spl0_787
| spl0_37 ),
inference(rat,[],[s3849,s4926,s3466,s4156,s4200,s3932,s4104,s4077,s5110,s4781,s1482,s5328,s1476,s162,s596,s607,s5038,s1898,s467,s1693,s5327,s1448,s5106,s5326,s1522]) ).
cnf(s5331,plain,
( ~ spl0_801
| spl0_389
| spl0_3
| ~ spl0_789
| ~ spl0_8
| spl0_787
| ~ spl0_405
| spl0_37 ),
inference(rat,[],[s3968,s4958,s4135,s4975,s3560,s4781,s4077,s1418,s3932,s4173,s1429,s1660,s5330,s5329,s4574,s4321,s463,s162,s596,s541,s3738,s4322,s4108,s12,s5326,s3492,s5106,s64,s1693,s1448]) ).
cnf(s5332,plain,
( ~ spl0_377
| spl0_473
| ~ spl0_783
| ~ spl0_795
| spl0_376
| spl0_406
| ~ spl0_8
| spl0_787
| spl0_394
| ~ spl0_405 ),
inference(rat,[],[s4955,s1810,s4643,s8,s2037,s4050,s4053,s3616,s3968,s4717,s4958,s2074,s4975,s1522,s1693,s5326]) ).
cnf(s5333,plain,
( spl0_377
| ~ spl0_381
| spl0_389
| spl0_376
| spl0_406
| spl0_43
| ~ spl0_15
| ~ spl0_8
| spl0_394
| ~ spl0_405
| spl0_54 ),
inference(rat,[],[s4717,s3461,s3616,s4358,s3669,s1810,s3937,s3864,s4955,s4793,s731,s4643,s8,s3349,s2037,s1476,s14,s4934,s1482,s3738,s1693,s1522,s5327,s64]) ).
cnf(s5334,plain,
( ~ spl0_783
| ~ spl0_377
| ~ spl0_795
| spl0_376
| spl0_406
| ~ spl0_789
| ~ spl0_8
| spl0_787
| spl0_394
| ~ spl0_405 ),
inference(rat,[],[s5332,s4400]) ).
cnf(s5335,plain,
( ~ spl0_11
| ~ spl0_838
| ~ spl0_377
| ~ spl0_795
| ~ spl0_8
| spl0_787
| spl0_37 ),
inference(rat,[],[s4200,s3466,s4104,s3849,s5110,s5038,s3968,s607,s1898,s4050,s467,s1693,s1448,s5326,s1522]) ).
cnf(s5336,plain,
( ~ spl0_377
| ~ spl0_795
| spl0_376
| spl0_406
| spl0_3
| ~ spl0_789
| ~ spl0_8
| spl0_787
| spl0_394
| ~ spl0_405
| spl0_37 ),
inference(rat,[],[s3758,s2073,s2190,s4717,s4104,s3616,s4371,s1810,s4955,s4937,s4643,s5025,s2053,s1817,s2037,s8,s9,s13,s4493,s5335,s4781,s5334,s4108,s12,s4574,s4321,s463,s162,s596,s1448,s1693,s1522,s5326,s5327,s5106]) ).
cnf(s5337,plain,
( spl0_389
| spl0_376
| spl0_406
| spl0_3
| ~ spl0_789
| ~ spl0_8
| spl0_787
| spl0_394
| ~ spl0_405
| spl0_37 ),
inference(rat,[],[s1418,s8,s1429,s1661,s5333,s5336,s4313,s5059,s5331,s162,s596,s541,s3738,s4322,s4108,s12,s64,s3829]) ).
cnf(s5338,plain,
( ~ spl0_389
| ~ spl0_38 ),
inference(rat,[],[s1660,s1671,s1577,s4000,s1448]) ).
cnf(s5339,plain,
( ~ spl0_376
| ~ spl0_795
| spl0_3
| ~ spl0_8
| spl0_787
| spl0_394
| ~ spl0_405
| spl0_37 ),
inference(rat,[],[s4587,s4781,s3895,s4259,s3968,s3849,s3466,s4531,s5038,s3870,s3699,s4989,s4955,s3879,s1482,s732,s4643,s3349,s2053,s1817,s1839,s2037,s14,s3616,s13,s4493,s4717,s2121,s3461,s4173,s4942,s4358,s1860,s3937,s3750,s4476,s4789,s2112,s4574,s4321,s463,s162,s596,s3738,s5338,s4326,s4322,s4108,s12,s5106,s1693,s5326,s1522,s5327,s1448,s64]) ).
cnf(s5340,plain,
( spl0_3
| ~ spl0_789
| ~ spl0_8
| spl0_787
| spl0_394
| ~ spl0_405
| spl0_37 ),
inference(rat,[],[s4955,s1561,s2207,s2219,s5337,s5339,s4313,s5059,s5331,s5338,s4326,s3738,s4322,s4108,s12,s1522,s3829,s64]) ).
cnf(s5346,plain,
( spl0_377
| ~ spl0_275
| ~ spl0_773
| ~ spl0_442
| spl0_785
| ~ spl0_53
| ~ spl0_72
| spl0_406
| spl0_787
| spl0_54 ),
inference(rat,[],[s3669,s4755,s3461,s4071,s4358,s4104,s3937,s4207,s4793,s1448,s1693]) ).
cnf(s5347,plain,
( spl0_376
| ~ spl0_773
| ~ spl0_442
| spl0_785
| ~ spl0_435
| ~ spl0_795
| ~ spl0_53
| ~ spl0_4
| ~ spl0_16
| ~ spl0_72
| spl0_406
| ~ spl0_789
| ~ spl0_8
| spl0_787
| spl0_394
| ~ spl0_405
| spl0_54 ),
inference(rat,[],[s4755,s3669,s4781,s2053,s5334,s5346,s4717,s3616,s1810,s5106,s1693]) ).
cnf(s5348,plain,
( spl0_11
| spl0_43
| spl0_406
| ~ spl0_801
| ~ spl0_789
| ~ spl0_8
| spl0_787
| spl0_394
| ~ spl0_405
| spl0_37 ),
inference(rat,[],[s4781,s4756,s4975,s3669,s5346,s3461,s4717,s4358,s3672,s3937,s5067,s4789,s5347,s3465,s3537,s3642,s3727,s3708,s1786,s2151,s4891,s5032,s5038,s3848,s3849,s3466,s4960,s3870,s5027,s4958,s4955,s4926,s4865,s4643,s3349,s2037,s14,s8,s9,s13,s4493,s162,s596,s3738,s5338,s4326,s5106,s1693,s5326,s5327,s3492,s1522,s64]) ).
cnf(s5349,plain,
( spl0_43
| spl0_406
| ~ spl0_801
| spl0_380
| ~ spl0_789
| ~ spl0_8
| spl0_787
| spl0_394
| ~ spl0_405
| spl0_37 ),
inference(rat,[],[s4400,s4781,s2074,s4077,s1418,s3932,s5034,s1429,s1660,s5330,s5348,s5338,s541,s4326,s3738,s5106,s64,s1693,s1448]) ).
cnf(s5350,plain,
( ~ spl0_466
| ~ spl0_801
| ~ spl0_789
| ~ spl0_8
| spl0_787
| ~ spl0_81 ),
inference(rat,[],[s4335,s730,s4493,s2037,s4865,s4062]) ).
cnf(s5351,plain,
( ~ spl0_801
| spl0_380
| ~ spl0_789
| ~ spl0_8
| spl0_787
| spl0_394
| ~ spl0_405
| spl0_37 ),
inference(rat,[],[s4955,s1561,s2207,s2219,s5349,s4326,s1975,s5350,s463,s1522]) ).
cnf(s5352,plain,
( ~ spl0_11
| ~ spl0_795
| ~ spl0_72
| spl0_85
| ~ spl0_8
| spl0_787
| spl0_37 ),
inference(rat,[],[s4781,s4975,s5335,s2878,s1303,s4846,s4958,s142,s3968,s4874,s4050,s483,s804,s596,s5106,s1448,s5326]) ).
cnf(s5353,plain,
( ~ spl0_377
| spl0_473
| ~ spl0_783
| ~ spl0_435
| ~ spl0_53
| ~ spl0_16
| ~ spl0_795
| spl0_406
| ~ spl0_8
| spl0_787
| spl0_394
| ~ spl0_405 ),
inference(rat,[],[s5067,s1816,s3672,s3700,s3969,s3718,s1490,s4104,s4717,s3879,s4371,s2074,s5332,s2053,s1831,s5009,s731,s5327,s1693,s5326]) ).
cnf(s5354,plain,
( ~ spl0_790
| ~ spl0_397
| spl0_376
| ~ spl0_435
| ~ spl0_53
| ~ spl0_4
| ~ spl0_13
| ~ spl0_16
| ~ spl0_72
| spl0_406
| spl0_801
| ~ spl0_789
| ~ spl0_8
| spl0_787
| spl0_394
| ~ spl0_405
| spl0_54 ),
inference(rat,[],[s3570,s4182,s4874,s3465,s4873,s5347,s5038,s3848,s5027,s3849,s3466,s3870,s4313,s5059,s1522,s5326,s1693,s5327,s3829]) ).
cnf(s5355,plain,
( ~ spl0_371
| ~ spl0_807
| spl0_482
| ~ spl0_275
| spl0_838
| spl0_787
| spl0_394 ),
inference(rat,[],[s4181,s3465,s2241,s4071,s5056,s1693,s1448]) ).
cnf(s5356,plain,
( ~ spl0_370
| ~ spl0_381
| ~ spl0_374
| spl0_278
| ~ spl0_4
| spl0_389 ),
inference(rat,[],[s1759,s4208]) ).
cnf(s5357,plain,
( spl0_376
| spl0_838
| ~ spl0_371
| ~ spl0_50
| spl0_382
| ~ spl0_435
| ~ spl0_53
| ~ spl0_4
| ~ spl0_13
| ~ spl0_16
| ~ spl0_72
| spl0_406
| spl0_801
| ~ spl0_789
| ~ spl0_8
| spl0_787
| ~ spl0_405
| ~ spl0_274
| spl0_54 ),
inference(rat,[],[s5354,s3968,s4102,s5355,s4745,s3695,s4717,s3616,s1810,s3854,s1693]) ).
cnf(s5358,plain,
( ~ spl0_375
| ~ spl0_371
| ~ spl0_50
| ~ spl0_783
| ~ spl0_776
| spl0_406
| spl0_787
| ~ spl0_274 ),
inference(rat,[],[s3848,s4873,s3968,s4102,s3895,s4533,s4589,s667,s4531,s4235,s5327,s1522]) ).
cnf(s5359,plain,
( ~ spl0_783
| ~ spl0_435
| ~ spl0_53
| ~ spl0_4
| ~ spl0_13
| ~ spl0_16
| spl0_389
| ~ spl0_72
| spl0_406
| spl0_801
| ~ spl0_789
| ~ spl0_8
| spl0_787
| ~ spl0_405
| ~ spl0_274
| spl0_54 ),
inference(rat,[],[s5354,s4102,s3968,s4745,s4259,s3616,s5357,s1810,s5312,s3699,s5358,s4104,s5356,s5060,s4609,s1429,s3937,s4788,s4793,s1482,s5353,s4400,s3854,s541,s4457,s731,s3466,s3870,s4313,s5059,s1693,s3829]) ).
cnf(s5360,plain,
( ~ spl0_377
| ~ spl0_275
| ~ spl0_435
| ~ spl0_16
| ~ spl0_405 ),
inference(rat,[],[s4104,s2190,s4371,s2074,s2053,s1831,s1693]) ).
cnf(s5361,plain,
( ~ spl0_275
| ~ spl0_838
| ~ spl0_435
| ~ spl0_53
| ~ spl0_13
| ~ spl0_16
| ~ spl0_72
| spl0_787
| ~ spl0_405
| spl0_54 ),
inference(rat,[],[s3669,s4755,s3461,s5027,s4358,s3968,s3937,s4259,s4793,s5360,s1693]) ).
cnf(s5362,plain,
( ~ spl0_377
| ~ spl0_413
| spl0_372
| ~ spl0_16
| spl0_389 ),
inference(rat,[],[s1791,s3672,s1925,s3709,s1881,s2053,s3616,s1693]) ).
cnf(s5363,plain,
( spl0_43
| spl0_406
| ~ spl0_789
| ~ spl0_8
| spl0_787
| ~ spl0_405
| ~ spl0_274
| spl0_37 ),
inference(rat,[],[s3849,s5038,s3968,s4989,s4259,s1482,s5362,s5067,s1816,s3700,s1490,s3879,s1810,s3616,s4717,s5010,s5361,s4781,s5359,s3466,s3870,s4955,s731,s4643,s3349,s2037,s14,s8,s9,s13,s4493,s5352,s5338,s4313,s4326,s3738,s162,s596,s5059,s3572,s5351,s5061,s5340,s3854,s5326,s1693,s5106,s1522,s5327,s64,s3492,s3829]) ).
cnf(s5364,plain,
( spl0_381
| ~ spl0_4
| spl0_389
| ~ spl0_83
| spl0_37 ),
inference(rat,[],[s4789,s3937,s1661,s1429,s1693]) ).
cnf(s5365,plain,
( spl0_53
| ~ spl0_21
| ~ spl0_381
| ~ spl0_50
| ~ spl0_16
| ~ spl0_274 ),
inference(rat,[],[s3734,s4235,s1839,s4537,s142,s1693]) ).
cnf(s5366,plain,
( ~ spl0_275
| spl0_772
| ~ spl0_381
| ~ spl0_50
| ~ spl0_435
| ~ spl0_4
| ~ spl0_13
| ~ spl0_16
| ~ spl0_72
| spl0_406
| spl0_801
| ~ spl0_789
| ~ spl0_8
| spl0_787
| ~ spl0_405
| ~ spl0_274
| spl0_54 ),
inference(rat,[],[s4781,s5361,s5359,s5365,s2059,s3461,s5338,s444,s2253,s5106]) ).
cnf(s5367,plain,
( ~ spl0_72
| spl0_406
| ~ spl0_789
| ~ spl0_8
| spl0_787
| ~ spl0_405
| ~ spl0_274
| spl0_37 ),
inference(rat,[],[s3849,s5038,s3968,s4989,s4259,s1482,s4781,s5362,s5359,s5067,s1810,s142,s1816,s3616,s3700,s4717,s5010,s5366,s4358,s3937,s4094,s4061,s3655,s5364,s4911,s4573,s1786,s3466,s2184,s3870,s4955,s4643,s2037,s8,s9,s13,s4493,s5338,s5352,s444,s4313,s541,s2253,s162,s596,s5059,s3572,s5351,s5061,s5340,s3854,s1975,s5363,s5326,s5106,s1693,s1522,s5327,s3492,s3829]) ).
cnf(s5368,plain,
( spl0_376
| spl0_838
| spl0_382
| ~ spl0_374
| spl0_278
| ~ spl0_50
| ~ spl0_435
| ~ spl0_4
| spl0_406
| spl0_801
| spl0_787
| spl0_394
| ~ spl0_274 ),
inference(rat,[],[s4874,s4873,s3570,s2241,s4102,s5355,s5056,s4745,s3695,s4717,s4104,s3616,s5356,s1810,s1661,s1580,s5326,s1522,s1693]) ).
cnf(s5369,plain,
( ~ spl0_375
| spl0_377
| ~ spl0_783
| ~ spl0_50
| ~ spl0_776
| spl0_406
| spl0_787
| ~ spl0_274 ),
inference(rat,[],[s3968,s3848,s3895,s4207,s4589,s4104,s667,s4531,s5358,s4235,s5327,s1522,s1693]) ).
cnf(s5370,plain,
( ~ spl0_53
| spl0_473
| ~ spl0_783
| ~ spl0_50
| ~ spl0_435
| ~ spl0_795
| ~ spl0_4
| ~ spl0_16
| spl0_406
| spl0_801
| ~ spl0_8
| spl0_787
| ~ spl0_405
| ~ spl0_274 ),
inference(rat,[],[s4873,s4874,s3848,s4102,s3570,s3968,s4745,s4259,s3616,s5368,s1810,s5312,s3699,s5369,s4788,s1482,s5353,s731,s4457,s3854,s1580,s3466,s3870,s5326,s5327,s1522,s1693]) ).
cnf(s5371,plain,
( spl0_53
| ~ spl0_50
| ~ spl0_440
| ~ spl0_13
| ~ spl0_16
| ~ spl0_6
| spl0_406
| ~ spl0_405
| ~ spl0_274 ),
inference(rat,[],[s4104,s5056,s4207,s3642,s5009,s3696,s4794,s1660,s3616,s5365,s2006,s1791,s2195,s3699,s778,s1827,s3785,s2141,s4235,s1839,s1840,s4874,s4537,s142,s3854,s1693,s5326,s1448,s64]) ).
cnf(s5372,plain,
( ~ spl0_783
| ~ spl0_53
| ~ spl0_50
| ~ spl0_435
| ~ spl0_795
| ~ spl0_4
| ~ spl0_16
| spl0_406
| spl0_801
| ~ spl0_789
| ~ spl0_8
| spl0_787
| ~ spl0_405
| ~ spl0_274 ),
inference(rat,[],[s5370,s4400]) ).
cnf(s5373,plain,
( ~ spl0_377
| ~ spl0_435
| ~ spl0_4
| ~ spl0_16
| ~ spl0_43
| spl0_406
| spl0_394
| ~ spl0_405 ),
inference(rat,[],[s1816,s5067,s1810,s4874,s5362,s3616,s4153,s4717,s3942,s5360,s2053,s1745,s1580,s5326,s1693]) ).
cnf(s5374,plain,
( spl0_406
| ~ spl0_789
| ~ spl0_8
| spl0_787
| ~ spl0_405
| ~ spl0_274
| spl0_37 ),
inference(rat,[],[s4747,s3616,s4102,s4989,s4873,s5038,s4874,s3848,s3849,s3570,s3968,s4788,s4259,s1482,s5373,s4781,s5372,s4457,s5371,s4911,s4573,s1786,s3466,s2184,s3870,s4955,s4865,s4643,s1580,s2037,s8,s9,s13,s4493,s480,s5367,s1975,s5363,s463,s5059,s5351,s5061,s5340,s3854,s64,s1693,s5326,s5327,s1522,s5106,s3829]) ).
cnf(s5375,plain,
( ~ spl0_406
| ~ spl0_8
| spl0_37 ),
inference(rat,[],[s4312,s1561,s8,s4955,s1704,s2207,s2219,s1522]) ).
cnf(s5376,plain,
( spl0_795
| ~ spl0_4
| ~ spl0_16
| ~ spl0_6
| ~ spl0_806
| spl0_796
| spl0_406
| ~ spl0_8
| spl0_787
| spl0_394
| ~ spl0_405 ),
inference(rat,[],[s3734,s778,s4531,s4538,s5060,s4609,s3937,s4061,s1660,s4173,s4587,s3560,s4781,s4259,s3968,s5373,s4958,s3738,s1966,s3556,s4985,s4313,s4912,s1580,s4955,s4643,s2037,s1693,s1448,s5106,s5326,s64,s1522,s3492]) ).
cnf(s5377,plain,
( ~ spl0_377
| ~ spl0_53
| ~ spl0_783
| ~ spl0_795
| ~ spl0_435
| ~ spl0_16
| spl0_406
| ~ spl0_8
| spl0_787
| spl0_394
| ~ spl0_405 ),
inference(rat,[],[s4104,s2190,s4371,s5353,s2053,s1831,s1693]) ).
cnf(s5378,plain,
( ~ spl0_53
| ~ spl0_783
| ~ spl0_381
| ~ spl0_795
| ~ spl0_435
| ~ spl0_4
| ~ spl0_16
| spl0_801
| spl0_406
| ~ spl0_8
| spl0_787
| ~ spl0_405
| ~ spl0_274
| spl0_54 ),
inference(rat,[],[s5370,s5060,s2190,s4609,s4104,s3937,s5356,s4793,s1482,s5377,s731,s3854,s5059,s1580,s1693,s3829]) ).
cnf(s5379,plain,
( spl0_53
| ~ spl0_381
| spl0_450
| ~ spl0_435
| ~ spl0_17
| ~ spl0_16
| spl0_406
| ~ spl0_274 ),
inference(rat,[],[s4911,s1786,s5365,s2184,s778,s1975,s1839,s3349,s142]) ).
cnf(s5380,plain,
( ~ spl0_72
| ~ spl0_8
| spl0_787
| ~ spl0_405
| ~ spl0_274
| spl0_37 ),
inference(rat,[],[s3616,s4717,s1810,s5361,s4540,s4781,s5378,s5379,s5364,s541,s9,s14,s1580,s4573,s3466,s3870,s5376,s8,s13,s4979,s162,s596,s3854,s4955,s4643,s2037,s4493,s5311,s463,s5059,s4404,s3832,s5374,s5375,s1693,s5106,s3829,s1522,s5327,s5326]) ).
cnf(s5381,plain,
( ~ spl0_783
| ~ spl0_53
| ~ spl0_50
| spl0_377
| ~ spl0_795
| ~ spl0_435
| ~ spl0_4
| ~ spl0_16
| spl0_801
| spl0_406
| ~ spl0_8
| spl0_787
| ~ spl0_405
| ~ spl0_274
| spl0_54 ),
inference(rat,[],[s3879,s3699,s1661,s5369,s5378,s3466,s3870,s731,s1693]) ).
cnf(s5382,plain,
( ~ spl0_8
| spl0_787
| ~ spl0_405
| ~ spl0_274
| spl0_37 ),
inference(rat,[],[s4102,s4873,s4745,s4874,s3848,s3616,s3570,s3968,s1810,s4259,s4540,s4781,s5381,s4788,s4457,s5371,s4911,s1482,s1786,s5373,s2184,s3738,s1966,s5380,s4573,s3466,s3870,s5376,s4955,s4643,s1580,s2037,s8,s9,s13,s4493,s5311,s5059,s4404,s4979,s3832,s5374,s5375,s463,s162,s596,s3854,s5326,s5327,s1693,s1522,s5106,s64,s3829]) ).
cnf(s5383,plain,
( spl0_377
| ~ spl0_41
| ~ spl0_10
| ~ spl0_11
| spl0_37 ),
inference(rat,[],[s1480,s1418,s1448,s64]) ).
cnf(s5384,plain,
( ~ spl0_377
| ~ spl0_783
| ~ spl0_801
| ~ spl0_415
| spl0_406
| spl0_54 ),
inference(rat,[],[s2195,s1490,s3627,s3700,s142,s4926,s3616,s4958,s1712,s4975,s5009,s5038,s1693,s5326]) ).
cnf(s5385,plain,
( spl0_16
| spl0_377
| ~ spl0_11
| spl0_8
| spl0_37 ),
inference(rat,[],[s4947,s5383,s4337,s6,s2112,s4993,s11,s1296,s463,s64]) ).
cnf(s5386,plain,
( spl0_377
| ~ spl0_415
| ~ spl0_11
| spl0_406
| spl0_8
| spl0_37 ),
inference(rat,[],[s3627,s2006,s780,s1827,s2209,s4947,s5383,s4480,s1925,s1781,s5385,s5038,s64,s5326]) ).
cnf(s5387,plain,
( ~ spl0_801
| ~ spl0_377
| spl0_442
| spl0_406
| spl0_787
| spl0_54 ),
inference(rat,[],[s4926,s3848,s4156,s3466,s3932,s4200,s4077,s4781,s5384,s1791,s4104,s3969,s5327,s1693,s5106]) ).
cnf(s5388,plain,
( spl0_16
| ~ spl0_807
| ~ spl0_806
| ~ spl0_11
| spl0_8
| spl0_37 ),
inference(rat,[],[s3597,s3839,s4321,s3048,s4993,s11,s1296,s463,s162,s596,s4]) ).
cnf(s5389,plain,
( ~ spl0_16
| ~ spl0_370
| ~ spl0_377
| ~ spl0_435 ),
inference(rat,[],[s4371,s2053,s1831]) ).
cnf(s5390,plain,
( ~ spl0_11
| ~ spl0_435
| spl0_406
| spl0_8
| spl0_787
| spl0_37 ),
inference(rat,[],[s4200,s4781,s3466,s4975,s3849,s4958,s3968,s5388,s5389,s5059,s5387,s4104,s3969,s5386,s5038,s1791,s2197,s162,s596,s5106,s1693,s5326,s3829,s5327]) ).
cnf(s5391,plain,
( ~ spl0_377
| ~ spl0_16
| ~ spl0_6
| ~ spl0_435
| ~ spl0_7
| spl0_394
| ~ spl0_405
| spl0_37 ),
inference(rat,[],[s3728,s1904,s4317,s476,s2112,s2151,s1920,s4860,s5038,s1881,s3618,s3616,s1577,s4104,s4717,s4794,s5389,s5360,s5009,s463,s162,s596,s1552,s1522,s5326,s1693]) ).
cnf(s5392,plain,
( ~ spl0_53
| ~ spl0_783
| ~ spl0_801
| spl0_377
| ~ spl0_13
| ~ spl0_6
| ~ spl0_435
| spl0_406
| spl0_787
| ~ spl0_405
| ~ spl0_274
| spl0_54 ),
inference(rat,[],[s4989,s1577,s3616,s1660,s4717,s5036,s5346,s5312,s3465,s3699,s3537,s5369,s3642,s4911,s3727,s4572,s1786,s4104,s5032,s5038,s4891,s4207,s3849,s3848,s3466,s1966,s3870,s4062,s4960,s4985,s3937,s5027,s4958,s4793,s4926,s3854,s1482,s1693,s1448,s5326,s5327,s64,s3492]) ).
cnf(s5393,plain,
( spl0_53
| ~ spl0_13
| ~ spl0_16
| ~ spl0_6
| ~ spl0_435
| spl0_406
| spl0_8
| ~ spl0_405
| ~ spl0_274
| spl0_37 ),
inference(rat,[],[s4104,s4572,s4207,s3942,s4911,s1791,s5071,s5371,s3785,s5021,s1786,s5061,s2184,s4321,s778,s1975,s1839,s4874,s3349,s142,s463,s162,s596,s14,s5391,s4,s3854,s1693,s1448,s5326,s5327]) ).
cnf(s5394,plain,
( ~ spl0_453
| ~ spl0_201
| ~ spl0_13
| spl0_8
| ~ spl0_274
| spl0_37 ),
inference(rat,[],[s4321,s5061,s1828,s5021,s2620,s463,s162,s596,s4,s1693]) ).
cnf(s5395,plain,
( ~ spl0_370
| ~ spl0_14
| ~ spl0_461
| spl0_278
| ~ spl0_374
| ~ spl0_435 ),
inference(rat,[],[s172,s1747,s4371,s4208]) ).
cnf(s5396,plain,
( spl0_796
| ~ spl0_373
| ~ spl0_50
| ~ spl0_773
| ~ spl0_783
| spl0_406 ),
inference(rat,[],[s2195,s3699,s4102,s4531,s4758,s4587,s1693]) ).
cnf(s5397,plain,
( ~ spl0_435
| ~ spl0_789
| spl0_406
| spl0_787
| ~ spl0_405
| ~ spl0_274
| spl0_37 ),
inference(rat,[],[s3821,s3895,s4989,s5396,s3700,s4788,s1577,s3616,s4794,s4717,s5010,s4071,s4104,s5395,s5060,s5059,s4609,s5392,s3465,s4781,s3537,s4755,s4960,s4961,s18,s3901,s1920,s12,s3864,s3669,s5071,s5394,s3937,s677,s4793,s731,s4457,s4846,s5393,s1482,s5391,s9,s13,s4493,s5390,s162,s596,s3854,s4,s5382,s5327,s1693,s1448,s3829,s5106,s3492,s5326]) ).
cnf(s5398,plain,
( spl0_16
| ~ spl0_377
| ~ spl0_801
| ~ spl0_11
| spl0_406
| spl0_8
| spl0_787
| spl0_37 ),
inference(rat,[],[s4077,s3932,s4781,s4156,s5384,s4891,s1903,s3701,s3728,s4947,s3676,s4337,s4321,s3048,s2112,s4993,s11,s1296,s463,s4,s5387,s162,s596,s1693,s5106,s5327,s1448,s64]) ).
cnf(s5399,plain,
( spl0_415
| ~ spl0_10
| spl0_31
| ~ spl0_11
| spl0_8
| ~ spl0_405
| spl0_37 ),
inference(rat,[],[s4337,s2112,s4947,s1920,s651,s1867,s1900,s463,s4,s64,s1448]) ).
cnf(s5400,plain,
( ~ spl0_377
| ~ spl0_801
| ~ spl0_11
| spl0_406
| spl0_8
| spl0_787
| ~ spl0_405
| spl0_37 ),
inference(rat,[],[s4926,s3849,s4156,s3466,s3932,s4200,s4077,s4104,s4781,s3618,s5384,s5038,s5399,s4480,s1745,s1831,s5398,s162,s596,s5327,s1693,s5106,s5326]) ).
cnf(s5401,plain,
( spl0_377
| ~ spl0_11
| spl0_406
| spl0_8
| spl0_394
| spl0_37 ),
inference(rat,[],[s1864,s4480,s3642,s3640,s5056,s4104,s3727,s4207,s1903,s1791,s5386,s4334,s463,s1522,s1693,s1448,s64]) ).
cnf(s5402,plain,
( spl0_16
| ~ spl0_806
| ~ spl0_377
| ~ spl0_11
| spl0_8
| spl0_787
| ~ spl0_405
| spl0_37 ),
inference(rat,[],[s4200,s3466,s4104,s3849,s3618,s4781,s5038,s4975,s5399,s4958,s6,s3968,s4108,s4993,s5388,s11,s1296,s1693,s5106,s5326]) ).
cnf(s5403,plain,
( ~ spl0_11
| ~ spl0_789
| spl0_406
| spl0_8
| spl0_787
| spl0_394
| ~ spl0_405
| spl0_37 ),
inference(rat,[],[s4781,s4400,s4755,s2074,s3597,s2198,s784,s1660,s3700,s1577,s4000,s1881,s3616,s1712,s1925,s5399,s3669,s4480,s2053,s1745,s1831,s5402,s5059,s5400,s5009,s5401,s4334,s463,s4,s5106,s1448,s1693,s3829,s5326,s64]) ).
cnf(s5404,plain,
( spl0_53
| ~ spl0_517
| ~ spl0_276
| ~ spl0_17
| spl0_54 ),
inference(rat,[],[s4094,s3700,s3349,s142]) ).
cnf(s5405,plain,
( ~ spl0_377
| ~ spl0_801
| ~ spl0_521
| ~ spl0_13
| ~ spl0_6
| spl0_787
| spl0_54 ),
inference(rat,[],[s4781,s4755,s4975,s5027,s4958,s4926,s5404,s3655,s4794,s5009,s14,s5106,s5326,s5327]) ).
cnf(s5406,plain,
( spl0_377
| ~ spl0_521
| spl0_415
| ~ spl0_6
| ~ spl0_789
| spl0_406
| spl0_8
| spl0_787
| ~ spl0_405
| ~ spl0_274 ),
inference(rat,[],[s4989,s1577,s3616,s4794,s4717,s5010,s4071,s3465,s3537,s4755,s4960,s4961,s3901,s1920,s12,s4104,s3864,s4207,s1482,s3854,s4,s1791,s732,s2151,s1693,s1448,s3492]) ).
cnf(s5407,plain,
( spl0_407
| ~ spl0_440
| ~ spl0_7
| ~ spl0_405
| spl0_37 ),
inference(rat,[],[s4317,s2112,s3728,s1920,s4860,s463,s162,s596,s1522]) ).
cnf(s5408,plain,
( ~ spl0_789
| spl0_406
| spl0_787
| ~ spl0_405
| ~ spl0_274
| spl0_37 ),
inference(rat,[],[s4321,s3901,s3597,s4961,s4755,s4781,s4400,s2074,s4717,s3616,s1881,s5407,s1577,s5059,s4794,s5405,s5009,s5406,s3669,s5071,s5394,s1904,s650,s476,s2151,s5038,s4974,s9,s13,s4493,s5403,s5397,s463,s162,s596,s3854,s4,s5382,s5106,s1693,s3829,s5326,s1448,s1552,s5327]) ).
cnf(s5409,plain,
( ~ spl0_11
| spl0_796
| ~ spl0_779
| spl0_406
| spl0_8
| spl0_787
| spl0_394
| ~ spl0_405
| spl0_37 ),
inference(rat,[],[s4156,s3937,s783,s1858,s4538,s5060,s1831,s4610,s3556,s5402,s3688,s5401,s4334,s463,s162,s596,s5059,s4404,s5327,s1693,s1522,s3492,s64,s3829]) ).
cnf(s5410,plain,
( spl0_3
| ~ spl0_806
| spl0_789
| ~ spl0_7
| spl0_37 ),
inference(rat,[],[s3548,s3597,s2112,s4321,s12,s463,s162,s596,s3832,s3492]) ).
cnf(s5411,plain,
( ~ spl0_377
| ~ spl0_21
| ~ spl0_16
| ~ spl0_6
| ~ spl0_806
| spl0_789
| spl0_406
| ~ spl0_7
| spl0_394
| ~ spl0_405
| spl0_37 ),
inference(rat,[],[s2074,s2190,s4717,s4104,s3616,s1756,s1881,s5407,s1786,s4892,s5404,s5038,s5317,s1577,s3655,s4974,s4794,s5391,s5009,s162,s596,s14,s18,s5410,s1693,s5326,s5327]) ).
cnf(s5412,plain,
( ~ spl0_783
| ~ spl0_373
| ~ spl0_371
| ~ spl0_368
| ~ spl0_407
| ~ spl0_21
| spl0_380
| ~ spl0_806
| spl0_796
| spl0_406
| ~ spl0_7
| spl0_787 ),
inference(rat,[],[s3734,s5057,s3597,s3955,s4960,s2195,s3537,s3699,s3465,s4531,s5396,s5060,s4609,s4587,s1693,s3492]) ).
cnf(s5413,plain,
( ~ spl0_838
| spl0_377
| ~ spl0_521
| ~ spl0_13
| spl0_787 ),
inference(rat,[],[s5027,s3968,s4755,s4259]) ).
cnf(s5414,plain,
( ~ spl0_415
| spl0_406
| spl0_787
| ~ spl0_405
| ~ spl0_274
| spl0_37 ),
inference(rat,[],[s3695,s3616,s3611,s5412,s5056,s4104,s3937,s5395,s4793,s731,s5393,s4974,s1925,s5038,s18,s1482,s4781,s5413,s5411,s2059,s13,s4493,s3669,s5071,s5021,s5061,s5410,s5059,s4404,s4,s9,s5409,s4979,s463,s162,s596,s3832,s5408,s5382,s3854,s1693,s5326,s5106,s1448,s3829,s5327]) ).
cnf(s5415,plain,
( ~ spl0_53
| ~ spl0_407
| ~ spl0_440
| ~ spl0_442
| ~ spl0_783
| spl0_377
| ~ spl0_21
| spl0_380
| ~ spl0_16
| ~ spl0_806
| spl0_796
| spl0_406
| ~ spl0_7
| spl0_787
| spl0_54 ),
inference(rat,[],[s4873,s4102,s1839,s4745,s3734,s4788,s4531,s1577,s3616,s4911,s5026,s5412,s4572,s3937,s4793,s4457,s1482,s4587,s1811,s4104,s4207,s1693]) ).
cnf(s5416,plain,
( spl0_406
| spl0_787
| ~ spl0_405
| ~ spl0_274
| spl0_37 ),
inference(rat,[],[s4572,s4911,s3942,s5371,s3349,s5415,s4104,s1920,s1904,s4207,s4937,s476,s1791,s2151,s5414,s4781,s5413,s3758,s1482,s5411,s2059,s3669,s5071,s5021,s5061,s5410,s14,s9,s13,s4493,s5409,s5059,s4404,s4979,s3832,s5408,s463,s162,s596,s3854,s4,s5382,s1693,s1552,s5106,s1448,s5327,s5326,s3829]) ).
cnf(s5417,plain,
( ~ spl0_377
| ~ spl0_371
| ~ spl0_7
| spl0_394
| ~ spl0_405
| spl0_37 ),
inference(rat,[],[s1577,s1881,s4794,s13,s4493,s4480,s1863,s1864,s5407,s1904,s476,s3616,s2151,s4717,s5038,s2074,s3618,s5009,s463,s2190,s5327,s1552,s1693,s5326]) ).
cnf(s5418,plain,
( ~ spl0_415
| ~ spl0_16
| ~ spl0_11
| spl0_377
| spl0_79
| spl0_397
| spl0_37 ),
inference(rat,[],[s4942,s134,s5383,s4480,s3627,s1781,s5038,s4334,s463,s64,s5326]) ).
cnf(s5419,plain,
( ~ spl0_11
| spl0_377
| spl0_79
| spl0_397
| spl0_8
| ~ spl0_405
| spl0_37 ),
inference(rat,[],[s4480,s1863,s1864,s5407,s1903,s5418,s5385,s463,s4,s1448]) ).
cnf(s5420,plain,
( spl0_275
| spl0_415
| ~ spl0_6
| ~ spl0_374
| spl0_394
| ~ spl0_274 ),
inference(rat,[],[s4989,s1577,s3616,s4794,s4717,s5010,s1693]) ).
cnf(s5421,plain,
( spl0_787
| ~ spl0_405
| ~ spl0_274
| spl0_37 ),
inference(rat,[],[s5027,s4960,s3968,s3537,s4182,s3465,s4071,s5420,s5413,s3669,s5071,s5407,s5394,s1904,s650,s476,s2151,s5038,s4974,s9,s4493,s5419,s1482,s5417,s444,s1561,s4955,s4104,s2207,s2219,s4145,s5416,s4,s5382,s463,s3854,s3492,s1693,s1448,s1552,s5326,s1522]) ).
cnf(s5422,plain,
( ~ spl0_8
| ~ spl0_787
| spl0_37 ),
inference(rat,[],[s4493,s4312,s2037,s4841,s3832,s3512,s3531,s4912,s3921,s3573,s3492]) ).
cnf(s5423,plain,
( spl0_406
| spl0_809
| ~ spl0_11
| spl0_8
| spl0_473
| ~ spl0_773
| ~ spl0_783
| spl0_796
| spl0_394
| ~ spl0_405
| spl0_37 ),
inference(rat,[],[s1864,s4480,s5407,s651,s1903,s1900,s5384,s5059,s4942,s5060,s5396,s3616,s4717,s2074,s5401,s162,s596,s4,s4334,s463,s1448,s3829,s1693,s64]) ).
cnf(s5424,plain,
( ~ spl0_11
| spl0_8
| spl0_473
| ~ spl0_773
| ~ spl0_783
| spl0_796
| spl0_795
| spl0_394
| ~ spl0_405
| spl0_37 ),
inference(rat,[],[s5417,s5419,s4104,s2219,s4145,s5423,s4611,s4334,s463,s3556,s4912,s4,s1693,s64,s1522,s3492]) ).
cnf(s5425,plain,
( ~ spl0_377
| ~ spl0_16
| ~ spl0_6
| ~ spl0_7
| spl0_738
| spl0_473
| spl0_394
| ~ spl0_405
| spl0_37 ),
inference(rat,[],[s3642,s1881,s5032,s3616,s1577,s4974,s4717,s4794,s5391,s2074,s5009,s1693,s5326]) ).
cnf(s5426,plain,
( ~ spl0_415
| spl0_406
| ~ spl0_405
| ~ spl0_274
| spl0_37 ),
inference(rat,[],[s171,s4371,s112,s5071,s5060,s4609,s5394,s5059,s3937,s677,s4926,s4793,s4846,s4104,s5393,s5056,s4974,s3611,s5038,s162,s596,s3556,s3472,s9,s4958,s4985,s5425,s13,s4493,s5424,s3573,s4,s5422,s4041,s4912,s3921,s3465,s3579,s4400,s4781,s5081,s3832,s3512,s5421,s3854,s64,s1448,s3829,s1693,s5326,s5106,s3492,s5327,s1522]) ).
cnf(s5427,plain,
( spl0_406
| ~ spl0_405
| ~ spl0_274
| spl0_37 ),
inference(rat,[],[s4104,s4071,s4207,s5420,s1791,s5426,s1482,s5425,s13,s4493,s5424,s3573,s4,s5422,s4041,s4912,s3921,s3465,s3579,s4400,s4781,s5081,s3832,s3512,s5421,s3854,s1693,s1448,s5106,s3492,s5327]) ).
cnf(s5428,plain,
( ~ spl0_405
| ~ spl0_274
| spl0_37 ),
inference(rat,[],[s5420,s5038,s4071,s4974,s4104,s2207,s4145,s5427,s1482,s5425,s13,s4493,s5424,s4,s5422,s4041,s4400,s3832,s3465,s4912,s4781,s3512,s3573,s3579,s3921,s5081,s5421,s3854,s5326,s1448,s1693,s5327,s3492,s5106]) ).
cnf(s5429,plain,
( ~ spl0_415
| ~ spl0_377
| spl0_389
| ~ spl0_16 ),
inference(rat,[],[s3616,s1881,s1712,s1925,s5009,s1693,s5326]) ).
cnf(s5430,plain,
( ~ spl0_783
| spl0_35
| ~ spl0_368
| ~ spl0_442
| ~ spl0_806
| ~ spl0_377
| spl0_787
| ~ spl0_403 ),
inference(rat,[],[s4758,s3465,s3895,s4181,s3968,s5060,s4958,s4609,s4975,s1693,s5326]) ).
cnf(s5431,plain,
( ~ spl0_370
| ~ spl0_442
| ~ spl0_806
| ~ spl0_517
| ~ spl0_377
| ~ spl0_13
| ~ spl0_16
| spl0_787
| ~ spl0_8
| ~ spl0_440
| ~ spl0_403
| spl0_54 ),
inference(rat,[],[s4758,s3465,s4911,s3895,s4181,s4573,s3968,s3466,s5027,s4200,s4755,s4781,s5430,s3700,s4094,s3942,s4407,s5389,s5009,s1745,s3669,s2053,s1693,s5106,s5326]) ).
cnf(s5432,plain,
( spl0_790
| spl0_519
| ~ spl0_442
| ~ spl0_806
| ~ spl0_381
| ~ spl0_21
| ~ spl0_16
| spl0_787
| ~ spl0_440
| ~ spl0_403
| spl0_406 ),
inference(rat,[],[s1839,s3895,s3734,s4758,s4531,s4911,s4573,s3465,s3466,s4181,s4205,s3968,s1693]) ).
cnf(s5433,plain,
( ~ spl0_377
| spl0_389
| ~ spl0_13
| ~ spl0_16
| ~ spl0_6
| spl0_787
| ~ spl0_8
| ~ spl0_440
| ~ spl0_403
| spl0_406
| spl0_54 ),
inference(rat,[],[s4781,s4755,s4975,s5027,s4958,s5432,s4533,s4104,s5431,s1791,s5429,s5059,s5405,s3655,s3669,s4794,s2053,s1745,s5009,s5106,s5326,s1693,s3829]) ).
cnf(s5434,plain,
( ~ spl0_414
| spl0_377
| ~ spl0_4
| ~ spl0_6
| ~ spl0_440
| spl0_397
| ~ spl0_396
| spl0_54 ),
inference(rat,[],[s1810,s5312,s3616,s3699,s4745,s4531,s4911,s4533,s4572,s4104,s3937,s4208,s4793,s732,s4792,s142,s1816,s3627,s4974,s2129,s4102,s1580,s1482,s1693]) ).
cnf(s5435,plain,
( ~ spl0_53
| spl0_378
| ~ spl0_372
| spl0_377
| spl0_389
| ~ spl0_403
| spl0_54 ),
inference(rat,[],[s4858,s4747,s3937,s4788,s4793,s4457,s1482,s64,s1693]) ).
cnf(s5436,plain,
( ~ spl0_801
| ~ spl0_466
| ~ spl0_8
| spl0_37 ),
inference(rat,[],[s3832,s5350,s4404,s463,s5422]) ).
cnf(s5437,plain,
( ~ spl0_8
| ~ spl0_274
| spl0_37 ),
inference(rat,[],[s5034,s4071,s1660,s3465,s5432,s4181,s4259,s4262,s3570,s5059,s5436,s5061,s4321,s778,s1975,s1839,s4874,s3349,s142,s5435,s4533,s1738,s4104,s3616,s4207,s4989,s1791,s5038,s5434,s1482,s5433,s1580,s14,s8,s9,s13,s4493,s479,s5422,s3987,s4102,s3702,s463,s162,s596,s1786,s1806,s2129,s1992,s5428,s1448,s1693,s5327,s1522,s3829,s5326]) ).
cnf(s5438,plain,
( ~ spl0_11
| spl0_787
| ~ spl0_377
| ~ spl0_274
| spl0_37 ),
inference(rat,[],[s3821,s3465,s4050,s3537,s4611,s4960,s5060,s3580,s5059,s5387,s3638,s4942,s1756,s134,s4104,s3627,s3618,s1712,s5038,s1863,s18,s4480,s2103,s1864,s444,s3642,s1561,s5042,s3727,s1540,s4334,s3702,s463,s162,s596,s1786,s1806,s2129,s1992,s5428,s4,s5437,s5009,s5327,s1693,s3492,s1522,s3829,s64,s5326]) ).
cnf(s5439,plain,
( ~ spl0_35
| spl0_11
| ~ spl0_377 ),
inference(rat,[],[s1885,s781,s3700,s1839,s13,s1577,s4794,s4493,s5009,s5326,s5327]) ).
cnf(s5440,plain,
( ~ spl0_783
| spl0_35
| ~ spl0_806
| ~ spl0_381
| ~ spl0_16
| spl0_787
| ~ spl0_377
| ~ spl0_440
| ~ spl0_403
| spl0_406 ),
inference(rat,[],[s4589,s3895,s5432,s3968,s4958,s4975,s1745,s1791,s5429,s1577,s1522,s5326]) ).
cnf(s5441,plain,
( spl0_787
| ~ spl0_377
| ~ spl0_274
| spl0_37 ),
inference(rat,[],[s4573,s3466,s4911,s4205,s4758,s3465,s3895,s4181,s3968,s5027,s4755,s4781,s5440,s5439,s5059,s1791,s5405,s5429,s3669,s1577,s2053,s4794,s9,s13,s4493,s5438,s4102,s3702,s463,s162,s596,s1786,s1806,s2129,s1992,s5428,s5009,s1693,s5106,s3829,s5326,s5327]) ).
cnf(s5442,plain,
( ~ spl0_11
| ~ spl0_787
| spl0_397
| ~ spl0_396
| ~ spl0_81 ),
inference(rat,[],[s4480,s1864,s3640,s3642,s3611,s5042,s1540,s4334,s3472,s3512,s4041,s4912,s3921,s3465,s3579,s1522,s64,s1693,s3492]) ).
cnf(s5443,plain,
( ~ spl0_377
| ~ spl0_274
| spl0_37 ),
inference(rat,[],[s3466,s4205,s4573,s1791,s5059,s5429,s4926,s1577,s142,s4794,s5439,s13,s4493,s5442,s4958,s4911,s4975,s4758,s3465,s4781,s3573,s3579,s5081,s5441,s5009,s4102,s3702,s463,s162,s596,s1786,s1806,s2129,s1992,s5428,s1693,s3829,s5327,s5326,s5106]) ).
cnf(s5444,plain,
( ~ spl0_11
| ~ spl0_274
| spl0_37 ),
inference(rat,[],[s4480,s1864,s3640,s3642,s5042,s3727,s5386,s1540,s4334,s3702,s463,s162,s596,s1786,s1806,s2129,s1992,s5428,s5437,s5443,s1522,s64]) ).
cnf(s5445,plain,
( ~ spl0_801
| ~ spl0_482
| ~ spl0_53
| ~ spl0_407
| spl0_787
| ~ spl0_13
| spl0_37 ),
inference(rat,[],[s3537,s4960,s3465,s5027,s3472,s4926,s4404,s162,s596,s3492,s1693]) ).
cnf(s5446,plain,
( ~ spl0_415
| spl0_787
| ~ spl0_274
| spl0_37 ),
inference(rat,[],[s3465,s3821,s3537,s3895,s4960,s5412,s3580,s5059,s5445,s4947,s774,s3616,s3734,s4781,s3695,s4531,s5413,s5057,s3611,s4911,s4533,s3669,s3955,s4839,s4572,s4104,s5071,s3937,s4208,s5021,s4793,s732,s5061,s142,s1816,s2103,s3627,s1925,s1781,s5038,s4102,s3702,s463,s162,s596,s1786,s1806,s2129,s1992,s5428,s4,s5437,s1482,s5443,s13,s9,s5444,s1693,s5327,s3492,s1522,s3829,s5106,s1448,s5326]) ).
cnf(s5447,plain,
( spl0_35
| spl0_380
| ~ spl0_371
| spl0_415
| spl0_377
| ~ spl0_440
| ~ spl0_403
| spl0_54 ),
inference(rat,[],[s4745,s3616,s4792,s4989,s1577,s4911,s5026,s4572,s3937,s4793,s142,s1482,s1811,s1693]) ).
cnf(s5448,plain,
( spl0_415
| ~ spl0_274
| spl0_37 ),
inference(rat,[],[s4531,s3734,s4911,s5026,s4572,s3937,s4131,s1839,s5447,s5061,s12,s4937,s2059,s3669,s3758,s5071,s1811,s4533,s5394,s4104,s650,s4207,s476,s1791,s2151,s4102,s3702,s463,s162,s596,s1786,s1806,s2129,s1992,s5428,s5437,s1482,s5443,s13,s9,s5444,s1693,s1448,s5326,s5327]) ).
cnf(s5449,plain,
( ~ spl0_274
| spl0_37 ),
inference(rat,[],[s4572,s4104,s4911,s3937,s4208,s4758,s4793,s732,s3465,s142,s1816,s3573,s3579,s3627,s5446,s5038,s5448,s1482,s5443,s1786,s4102,s1806,s2129,s3702,s1992,s5428,s463,s162,s596,s1693,s5326]) ).
cnf(s5450,plain,
( ~ spl0_415
| spl0_787
| ~ spl0_377
| spl0_37 ),
inference(rat,[],[s5059,s5398,s5402,s4258,s4145,s540,s4334,s4104,s13,s3618,s5429,s5038,s463,s1428,s3937,s4789,s1587,s1578,s2882,s5449,s3829,s64,s1693,s5327,s5326]) ).
cnf(s5451,plain,
( spl0_415
| ~ spl0_377
| spl0_37 ),
inference(rat,[],[s4873,s2219,s4102,s4745,s4858,s1738,s3672,s1904,s3707,s1791,s3937,s4789,s1578,s2882,s476,s5067,s1816,s3700,s5009,s4791,s463,s162,s596,s1587,s5449,s1552,s5326,s1693]) ).
cnf(s5452,plain,
( ~ spl0_377
| spl0_37 ),
inference(rat,[],[s5396,s4858,s4145,s3465,s4781,s1743,s4334,s4104,s3573,s3579,s5081,s3616,s13,s3618,s5450,s1712,s5429,s5038,s5451,s5009,s463,s3937,s4789,s1587,s1578,s2882,s5449,s1693,s5106,s1448,s64,s5327,s5326]) ).
cnf(s5453,plain,
( ~ spl0_11
| spl0_406
| ~ spl0_415
| spl0_37 ),
inference(rat,[],[s5386,s540,s4334,s463,s1428,s3937,s4789,s1587,s1578,s2882,s5449,s5452,s64,s1693]) ).
cnf(s5454,plain,
( spl0_50
| ~ spl0_806
| ~ spl0_440
| ~ spl0_370
| spl0_787
| ~ spl0_368 ),
inference(rat,[],[s4200,s4781,s3466,s4609,s4573,s5060,s4911,s5106,s1693]) ).
cnf(s5456,plain,
( ~ spl0_838
| spl0_442
| ~ spl0_370
| spl0_787
| spl0_377 ),
inference(rat,[],[s3848,s3466,s3968,s4200,s4259,s5327,s1693]) ).
cnf(s5457,plain,
( ~ spl0_440
| spl0_442
| ~ spl0_370
| ~ spl0_4
| ~ spl0_8
| ~ spl0_435
| ~ spl0_415
| spl0_787
| spl0_37 ),
inference(rat,[],[s3895,s4589,s3968,s4531,s3848,s5454,s3466,s5059,s3870,s5436,s4912,s1966,s3560,s541,s4173,s5364,s1660,s3699,s5356,s3879,s732,s142,s1816,s4874,s3785,s3937,s4789,s1587,s1578,s2882,s5449,s1482,s4781,s5456,s5452,s1522,s5327,s1693,s3829,s3492,s64,s1448,s5326,s5106]) ).
cnf(s5458,plain,
( ~ spl0_370
| ~ spl0_8
| spl0_406
| ~ spl0_415
| spl0_787
| spl0_37 ),
inference(rat,[],[s541,s5364,s1966,s1759,s2184,s1806,s4886,s5457,s4207,s1578,s2882,s5449,s5452,s4974,s4493,s5038,s8,s5453,s64,s1448,s5326]) ).
cnf(s5459,plain,
( ~ spl0_796
| spl0_442
| spl0_35
| ~ spl0_206
| ~ spl0_435
| spl0_787
| spl0_37 ),
inference(rat,[],[s3466,s3848,s3870,s3968,s4865,s3895,s4979,s463,s162,s596,s1693,s5327]) ).
cnf(s5460,plain,
( ~ spl0_440
| ~ spl0_8
| spl0_406
| ~ spl0_415
| spl0_787
| spl0_37 ),
inference(rat,[],[s3848,s3466,s3968,s3870,s4259,s4912,s4781,s3556,s4587,s5459,s4538,s781,s2006,s4873,s4102,s4533,s4531,s3699,s3879,s732,s142,s1816,s4874,s4911,s3785,s5452,s4974,s5038,s1925,s13,s2037,s4493,s5453,s4572,s4104,s5458,s3937,s4789,s1587,s1578,s2882,s5449,s5327,s1693,s3492,s5106,s1522,s5326]) ).
cnf(s5461,plain,
( ~ spl0_8
| spl0_406
| ~ spl0_415
| spl0_787
| spl0_37 ),
inference(rat,[],[s4531,s5060,s4589,s4609,s4781,s5059,s4259,s4926,s3968,s3848,s3466,s3870,s4912,s3556,s5459,s3699,s4891,s3879,s731,s2253,s3349,s1839,s1966,s1975,s2052,s2184,s4886,s5460,s2037,s162,s596,s3937,s4789,s1587,s1578,s2882,s5449,s5452,s14,s4974,s4493,s5038,s1925,s13,s5453,s1522,s5106,s3829,s5327,s1693,s3492,s64,s1448,s5326]) ).
cnf(s5462,plain,
( spl0_50
| ~ spl0_53
| ~ spl0_440
| ~ spl0_435
| ~ spl0_6
| spl0_406
| spl0_787
| spl0_37 ),
inference(rat,[],[s3870,s3466,s4985,s3848,s4958,s4926,s5059,s5454,s4207,s4104,s4572,s4911,s162,s596,s3937,s4789,s1587,s1578,s2882,s5449,s5452,s1693,s5327,s5326,s3829]) ).
cnf(s5463,plain,
( spl0_807
| spl0_11
| ~ spl0_415
| spl0_787 ),
inference(rat,[],[s3537,s4960,s3465,s5027,s3821,s3968,s9,s1925,s13,s3492,s1693,s5327,s5326]) ).
cnf(s5464,plain,
( ~ spl0_440
| spl0_406
| ~ spl0_415
| spl0_787
| spl0_37 ),
inference(rat,[],[s4589,s3895,s4531,s5462,s3699,s3879,s732,s142,s1816,s4874,s3785,s1587,s5449,s4974,s4493,s5038,s4781,s4259,s5463,s5453,s5452,s1522,s1693,s5326,s5106]) ).
cnf(s5465,plain,
( spl0_406
| ~ spl0_415
| spl0_787
| spl0_37 ),
inference(rat,[],[s3820,s4958,s3465,s4926,s3537,s5059,s4960,s5060,s4961,s4531,s3699,s3908,s4589,s3879,s731,s3895,s3349,s1839,s774,s1975,s2052,s2184,s4886,s4609,s5464,s4781,s4259,s5463,s5461,s1925,s4974,s14,s13,s4493,s5453,s162,s596,s3937,s4789,s1587,s1578,s2882,s5449,s5452,s5038,s5326,s1693,s3829,s3492,s1522,s1448,s5106,s5327]) ).
cnf(s5466,plain,
( ~ spl0_415
| spl0_787
| spl0_37 ),
inference(rat,[],[s444,s5419,s4493,s1561,s1992,s4974,s4955,s5375,s2129,s2207,s2219,s5465,s5038,s5452,s1522,s5326]) ).
cnf(s5467,plain,
( ~ spl0_11
| spl0_73
| ~ spl0_67
| ~ spl0_81 ),
inference(rat,[],[s109,s4334,s64]) ).
cnf(s5468,plain,
( ~ spl0_796
| spl0_787
| spl0_37 ),
inference(rat,[],[s4259,s5355,s3968,s3857,s3466,s5027,s4091,s3870,s4960,s4865,s4190,s4979,s4521,s9,s4612,s4321,s3655,s5026,s2019,s4860,s4955,s4643,s2037,s4,s5407,s2006,s781,s1839,s13,s4493,s5467,s1425,s1811,s4104,s4207,s667,s4873,s2219,s1791,s3702,s4102,s4745,s4858,s1738,s1904,s476,s2151,s3937,s4789,s1587,s3616,s4989,s5466,s1482,s5452,s1578,s2882,s4791,s5449,s463,s162,s596,s1448,s1693,s3492,s1522,s1552,s5327,s5326]) ).
cnf(s5469,plain,
( spl0_787
| spl0_37 ),
inference(rat,[],[s4540,s4781,s4079,s4589,s5468,s4531,s3734,s5026,s2019,s4860,s2006,s778,s781,s1839,s13,s5467,s1425,s1811,s667,s4104,s4873,s4207,s2219,s4102,s4745,s4858,s1738,s1904,s3616,s476,s4989,s1791,s2151,s5466,s4791,s463,s162,s596,s3937,s4789,s1587,s1578,s2882,s5449,s1482,s5452,s5106,s1522,s1693,s5327,s1552]) ).
cnf(s5470,plain,
( ~ spl0_35
| ~ spl0_407
| ~ spl0_16
| ~ spl0_414
| spl0_406 ),
inference(rat,[],[s781,s2006,s1839,s3627]) ).
cnf(s5471,plain,
( ~ spl0_415
| spl0_406
| spl0_37 ),
inference(rat,[],[s5060,s4531,s5059,s3699,s4926,s3879,s732,s142,s1816,s5470,s1925,s4958,s13,s3820,s5386,s5038,s162,s596,s5452,s5422,s3465,s3579,s4609,s3937,s4789,s1587,s1578,s2882,s5449,s4589,s4781,s5081,s3573,s5469,s3829,s1693,s5326,s5327,s1522,s5106]) ).
cnf(s5472,plain,
( spl0_406
| spl0_37 ),
inference(rat,[],[s4071,s4521,s4104,s1904,s3616,s4207,s476,s4989,s1791,s2151,s5471,s4791,s463,s162,s596,s1578,s2882,s5449,s1482,s5452,s5081,s3465,s3579,s5469,s1448,s1693,s1552]) ).
cnf(s5473,plain,
spl0_37,
inference(rat,[],[s476,s1904,s2151,s4911,s3611,s4758,s4839,s4572,s4102,s4104,s2219,s4145,s5472,s3472,s3465,s3512,s3573,s3579,s5469,s3937,s4789,s1578,s1587,s2882,s5449,s463,s1552,s1693]) ).
cnf(s5476,plain,
( ~ spl0_783
| ~ spl0_519
| spl0_35
| spl0_787
| ~ spl0_377 ),
inference(rat,[],[s3968,s3895,s4958,s4589,s4975,s5326,s1522]) ).
cnf(s5478,plain,
( spl0_397
| spl0_393
| ~ spl0_72
| ~ spl0_11 ),
inference(rat,[],[s3984,s1992,s5042,s4976,s1522,s5473]) ).
cnf(s5479,plain,
( ~ spl0_440
| spl0_35
| ~ spl0_11
| spl0_787
| ~ spl0_377
| ~ spl0_415
| spl0_406 ),
inference(rat,[],[s171,s783,s112,s4538,s3556,s3895,s4135,s3968,s3848,s3466,s4200,s4781,s5476,s4531,s3699,s2195,s4873,s5478,s4797,s3611,s3785,s4291,s4104,s3618,s5038,s3616,s1712,s5009,s142,s138,s64,s1522,s3492,s5327,s1693,s5106,s5473,s5326]) ).
cnf(s5480,plain,
( spl0_79
| ~ spl0_50
| ~ spl0_53
| ~ spl0_11 ),
inference(rat,[],[s171,s783,s112,s4538,s64]) ).
cnf(s5481,plain,
( ~ spl0_807
| ~ spl0_79
| spl0_35
| ~ spl0_11
| spl0_787 ),
inference(rat,[],[s3556,s3895,s4135,s1522,s3492]) ).
cnf(s5482,plain,
( ~ spl0_790
| spl0_787
| ~ spl0_377
| ~ spl0_414 ),
inference(rat,[],[s4200,s4781,s3466,s4975,s3849,s4958,s4104,s3618,s5106,s1693,s5326]) ).
cnf(s5483,plain,
( spl0_35
| ~ spl0_11
| spl0_787
| ~ spl0_377
| ~ spl0_415
| spl0_406 ),
inference(rat,[],[s4153,s3932,s4797,s4199,s5480,s4886,s5481,s5479,s142,s4104,s3618,s3968,s5482,s5038,s1693,s5473,s1448,s5326]) ).
cnf(s5484,plain,
( ~ spl0_35
| ~ spl0_373
| ~ spl0_276
| ~ spl0_414
| spl0_406 ),
inference(rat,[],[s1490,s2195,s3700,s3627]) ).
cnf(s5485,plain,
( spl0_11
| ~ spl0_377
| ~ spl0_414 ),
inference(rat,[],[s5389,s4974,s13,s4493,s4104,s3618,s5327,s1693]) ).
cnf(s5486,plain,
( ~ spl0_377
| ~ spl0_415
| spl0_406 ),
inference(rat,[],[s5384,s162,s5059,s118,s5060,s4797,s5396,s3465,s4781,s4611,s3573,s3579,s3921,s5081,s138,s5483,s5485,s5484,s3616,s1712,s5009,s3703,s5038,s3829,s5473,s1693,s5106,s64,s5326]) ).
cnf(s5487,plain,
( spl0_50
| ~ spl0_11
| spl0_35
| spl0_787
| spl0_377
| ~ spl0_415 ),
inference(rat,[],[s4961,s3908,s5182,s3835,s3895,s118,s3821,s161,s162,s3465,s4793,s3538,s3937,s774,s3571,s1480,s780,s3388,s6,s2097,s2099,s4886,s3925,s3785,s4942,s4797,s142,s138,s5327,s1693,s1522,s1448,s5473,s64]) ).
cnf(s5488,plain,
( ~ spl0_11
| spl0_35
| spl0_787
| spl0_377
| ~ spl0_415 ),
inference(rat,[],[s1671,s2124,s4792,s5338,s444,s5480,s5487,s1482,s142,s1448]) ).
cnf(s5489,plain,
( spl0_50
| ~ spl0_6
| ~ spl0_53
| spl0_26
| ~ spl0_415
| spl0_406 ),
inference(rat,[],[s1860,s3758,s3937,s4937,s4793,s12,s542,s3925,s1962,s4942,s1966,s2184,s4886,s3785,s4797,s1482,s5486,s4974,s5038,s1448,s1693,s5473,s64,s5326]) ).
cnf(s5490,plain,
( ~ spl0_790
| ~ spl0_6
| spl0_787
| ~ spl0_414 ),
inference(rat,[],[s3870,s3466,s4985,s3849,s4958,s4974,s1693,s5326]) ).
cnf(s5491,plain,
( spl0_396
| spl0_801
| spl0_393
| ~ spl0_50
| spl0_838
| ~ spl0_407
| ~ spl0_435
| ~ spl0_807
| spl0_11
| spl0_35
| spl0_787
| ~ spl0_374
| spl0_406 ),
inference(rat,[],[s4937,s3836,s2090,s4961,s4,s8,s5368,s4792,s5338,s444,s3908,s4538,s1827,s781,s2006,s4976,s3855,s1992,s732,s1816,s1587,s5312,s3699,s4531,s4589,s3895,s4781,s142,s3492,s5473,s64,s1693,s5106,s1522]) ).
cnf(s5492,plain,
( spl0_54
| spl0_393
| ~ spl0_440
| spl0_790
| ~ spl0_50
| ~ spl0_407
| ~ spl0_21
| ~ spl0_435
| ~ spl0_807
| spl0_11
| spl0_35
| spl0_787
| spl0_377
| spl0_406 ),
inference(rat,[],[s3870,s4912,s3466,s3556,s3857,s4538,s4836,s3734,s1577,s5026,s5056,s1811,s5061,s4104,s2103,s4208,s5491,s3937,s4926,s4793,s1482,s732,s1816,s1587,s5312,s3699,s4531,s4589,s3895,s4781,s4259,s142,s3492,s1693,s1522,s1448,s5106]) ).
cnf(s5493,plain,
( ~ spl0_370
| spl0_8
| spl0_393
| spl0_376
| spl0_796
| ~ spl0_407
| ~ spl0_807
| spl0_26
| ~ spl0_374
| spl0_406 ),
inference(rat,[],[s4961,s3908,s3836,s1827,s4937,s2006,s12,s4976,s18,s1992,s1756,s4208,s732,s4,s3492,s64,s5473]) ).
cnf(s5494,plain,
( ~ spl0_382
| ~ spl0_522
| ~ spl0_374 ),
inference(rat,[],[s4788,s4000]) ).
cnf(s5495,plain,
( ~ spl0_440
| spl0_35
| spl0_787
| ~ spl0_415
| spl0_406 ),
inference(rat,[],[s4961,s3901,s4960,s4309,s3537,s2103,s3465,s3855,s4071,s5056,s4104,s5493,s8,s163,s542,s5492,s3611,s4291,s4974,s1781,s1925,s13,s5490,s5038,s4267,s5494,s4457,s1482,s1587,s5312,s3699,s4531,s5489,s4493,s1816,s4589,s3895,s4781,s4259,s5463,s5488,s5486,s142,s3492,s1693,s1448,s5473,s5106,s1522,s5326,s5327]) ).
cnf(s5496,plain,
( ~ spl0_370
| ~ spl0_7
| ~ spl0_448
| ~ spl0_275
| spl0_376
| ~ spl0_407
| ~ spl0_435
| spl0_406 ),
inference(rat,[],[s4371,s3461,s4108,s4358,s12,s3932,s18,s4199,s1756,s1966,s2184,s1693,s64]) ).
cnf(s5497,plain,
( spl0_35
| spl0_787
| ~ spl0_415
| spl0_406 ),
inference(rat,[],[s2006,s4102,s781,s4928,s3597,s3580,s5059,s4960,s3538,s3537,s3465,s4071,s4734,s4104,s5496,s4,s2037,s4800,s1975,s2184,s4886,s5495,s4267,s5494,s1587,s5312,s3699,s4531,s5489,s4589,s4781,s3895,s4259,s1925,s4974,s5463,s13,s4493,s5488,s4457,s142,s1816,s5038,s1482,s5486,s1522,s3829,s3492,s1693,s1448,s5473,s5106,s5327,s5326]) ).
cnf(s5498,plain,
( ~ spl0_43
| ~ spl0_53
| ~ spl0_11 ),
inference(rat,[],[s73,s161]) ).
cnf(s5499,plain,
( ~ spl0_53
| spl0_50
| ~ spl0_11
| ~ spl0_51
| spl0_377 ),
inference(rat,[],[s5182,s118,s5021,s162,s1726,s4793,s774,s3937,s783,s1480,s3756,s4108,s6,s2097,s12,s3925,s4942,s3738,s5498,s5494,s4457,s1482,s1693,s1448,s5473,s64]) ).
cnf(s5501,plain,
( ~ spl0_16
| ~ spl0_35
| ~ spl0_415
| spl0_406 ),
inference(rat,[],[s5470,s1925,s5038,s5326]) ).
cnf(s5502,plain,
( ~ spl0_53
| ~ spl0_11
| ~ spl0_51
| spl0_377 ),
inference(rat,[],[s2124,s1671,s5338,s444,s5480,s5494,s5499,s4457,s1482,s1448]) ).
cnf(s5503,plain,
( spl0_807
| ~ spl0_51
| spl0_787
| ~ spl0_415 ),
inference(rat,[],[s3538,s3465,s3570,s3821,s4886,s3785,s1693,s1522,s5327,s1448]) ).
cnf(s5504,plain,
( spl0_411
| ~ spl0_11
| ~ spl0_374 ),
inference(rat,[],[s1577,s2124,s1660,s1448]) ).
cnf(s5505,plain,
( ~ spl0_773
| ~ spl0_794
| spl0_275
| spl0_8
| ~ spl0_11
| ~ spl0_35
| ~ spl0_415
| spl0_406 ),
inference(rat,[],[s3859,s5010,s3466,s4717,s1712,s3843,s3616,s3393,s2195,s3389,s1490,s3388,s1726,s4947,s1827,s2006,s4860,s4958,s4060,s3820,s3627,s5038,s4886,s3785,s4874,s2099,s4993,s1296,s5021,s3759,s3048,s11,s5501,s1482,s5486,s1552,s1693,s1522,s64,s5326,s1448]) ).
cnf(s5506,plain,
( ~ spl0_11
| spl0_787
| ~ spl0_415
| spl0_406 ),
inference(rat,[],[s4190,s4079,s781,s667,s3597,s5060,s5059,s3538,s3465,s5505,s3832,s4195,s4961,s3621,s3606,s3462,s3839,s3759,s3048,s2112,s11,s4,s4173,s5504,s3560,s4135,s1482,s4886,s3785,s5501,s4781,s4259,s5503,s4874,s5497,s5486,s3829,s1693,s5473,s3492,s5106,s5326,s1448]) ).
cnf(s5507,plain,
( spl0_787
| ~ spl0_415
| spl0_406 ),
inference(rat,[],[s13,s5506,s5501,s5497,s5327]) ).
cnf(s5508,plain,
( ~ spl0_53
| ~ spl0_11
| spl0_79
| spl0_377 ),
inference(rat,[],[s4797,s5480,s5502,s5473]) ).
cnf(s5509,plain,
( ~ spl0_11
| ~ spl0_415
| spl0_406 ),
inference(rat,[],[s5505,s4961,s3462,s3839,s3048,s11,s5501,s142,s5508,s4173,s5504,s1482,s5486,s3556,s3573,s3560,s4912,s3921,s4781,s5081,s3821,s3465,s3579,s5507,s5327,s1693,s5106,s3492,s1522]) ).
cnf(s5510,plain,
( ~ spl0_415
| spl0_406 ),
inference(rat,[],[s2006,s781,s4102,s4538,s4758,s5489,s142,s1816,s5501,s1925,s13,s4493,s5509,s3556,s3465,s4912,s3573,s3579,s3921,s5507,s3492,s1693,s1522,s5327]) ).
cnf(s5511,plain,
( spl0_35
| ~ spl0_11
| spl0_406 ),
inference(rat,[],[s3701,s3673,s4891,s2097,s162,s3925,s118,s4942,s4797,s3703,s5480,s5508,s444,s1561,s4873,s138,s142,s1791,s2156,s5510,s1448,s5473,s1693,s64,s1522]) ).
cnf(s5514,plain,
( spl0_807
| spl0_787
| ~ spl0_377
| ~ spl0_51 ),
inference(rat,[],[s4781,s4975,s4077,s4958,s3570,s3968,s3932,s4153,s5106,s5326,s1522,s1693]) ).
cnf(s5515,plain,
( ~ spl0_499
| spl0_8
| ~ spl0_773
| ~ spl0_807
| ~ spl0_442 ),
inference(rat,[],[s4060,s4961,s3676,s3839]) ).
cnf(s5516,plain,
( spl0_787
| ~ spl0_377
| ~ spl0_51
| ~ spl0_398
| ~ spl0_11
| spl0_415 ),
inference(rat,[],[s1858,s2090,s11,s3048,s5515,s4,s4203,s4047,s3465,s4050,s4182,s5514,s1791,s3937,s4153,s162,s118,s3703,s5473,s1693]) ).
cnf(s5517,plain,
( ~ spl0_377
| ~ spl0_35
| ~ spl0_398
| ~ spl0_11
| spl0_415 ),
inference(rat,[],[s1858,s2090,s11,s3048,s5515,s4,s3968,s4203,s4958,s4047,s4082,s3465,s3573,s3579,s3921,s5516,s162,s3937,s118,s4153,s3703,s1791,s4874,s5473,s5326,s1693]) ).
cnf(s5518,plain,
( ~ spl0_15
| ~ spl0_7
| ~ spl0_371
| ~ spl0_374
| ~ spl0_11
| spl0_415 ),
inference(rat,[],[s3641,s3759,s1867,s3048,s4108]) ).
cnf(s5519,plain,
( ~ spl0_11
| spl0_406 ),
inference(rat,[],[s5061,s3639,s5034,s3696,s3460,s3640,s4480,s778,s2090,s12,s5518,s4,s5056,s2040,s3943,s2232,s4104,s5504,s4207,s1482,s5517,s5511,s2156,s1791,s5510,s1693,s1448,s1522,s5473]) ).
cnf(s5521,plain,
( ~ spl0_790
| spl0_787
| ~ spl0_521
| ~ spl0_377
| ~ spl0_13 ),
inference(rat,[],[s4781,s4755,s4975,s5027,s4958,s5106,s5326]) ).
cnf(s5522,plain,
( spl0_787
| ~ spl0_377
| spl0_35
| spl0_406 ),
inference(rat,[],[s4573,s4911,s5059,s1786,s5405,s4891,s162,s118,s4797,s4758,s3465,s3466,s3895,s4182,s4205,s3968,s5521,s4493,s9,s142,s4102,s4873,s1791,s5510,s3703,s3669,s2053,s13,s5519,s3829,s5473,s1693,s5327,s5326]) ).
cnf(s5523,plain,
( ~ spl0_377
| spl0_35
| spl0_406 ),
inference(rat,[],[s162,s4926,s118,s5059,s4797,s5060,s4758,s4958,s4195,s3465,s4985,s3512,s3573,s3579,s3921,s5522,s3703,s4493,s5519,s142,s4102,s4873,s1791,s5510,s3829,s5473,s5326,s1693]) ).
cnf(s5524,plain,
( ~ spl0_8
| spl0_35
| spl0_406 ),
inference(rat,[],[s1738,s1786,s5435,s4891,s3616,s161,s4989,s4800,s1580,s2037,s8,s4493,s5519,s142,s4102,s4873,s1791,s5510,s1482,s5523,s1693,s5473]) ).
cnf(s5525,plain,
( ~ spl0_480
| spl0_8
| ~ spl0_371
| ~ spl0_374
| ~ spl0_442 ),
inference(rat,[],[s2015,s4863,s3758,s3671,s1448,s1522]) ).
cnf(s5526,plain,
( spl0_35
| spl0_406 ),
inference(rat,[],[s3672,s5067,s4745,s5063,s4911,s5447,s4572,s1786,s3937,s4891,s4793,s161,s4928,s3925,s12,s4937,s5525,s5524,s4734,s3718,s4104,s5494,s4207,s1482,s5523,s4102,s4457,s4873,s142,s2151,s1791,s5510,s1693,s5473]) ).
cnf(s5531,plain,
( ~ spl0_790
| spl0_787
| spl0_406 ),
inference(rat,[],[s4190,s4960,s4082,s5027,s4958,s9,s781,s1839,s5526,s13,s5519,s3492,s5326,s5327]) ).
cnf(s5532,plain,
( spl0_274
| spl0_787
| spl0_406 ),
inference(rat,[],[s4717,s3856,s3672,s4836,s5067,s1578,s1587,s2882,s2151,s1482,s3718,s3466,s4205,s4071,s3465,s4182,s4104,s4207,s1791,s5510,s4259,s3968,s5531,s5439,s5526,s5519,s1552,s1693,s1448]) ).
cnf(s5533,plain,
( spl0_787
| spl0_406 ),
inference(rat,[],[s3857,s4836,s5420,s3967,s5532,s4071,s3465,s3466,s4182,s4259,s4205,s3968,s5531,s4493,s1482,s4104,s4207,s5439,s5526,s5519,s1791,s5510,s1448,s5473,s1693]) ).
cnf(s5534,plain,
( ~ spl0_440
| spl0_406 ),
inference(rat,[],[s4836,s3857,s4000,s4717,s4838,s3672,s5067,s1859,s3937,s4572,s4911,s1839,s13,s3718,s4071,s3465,s3579,s5081,s3466,s4205,s4958,s4985,s18,s4,s161,s3738,s4942,s3925,s12,s4937,s5525,s2037,s4865,s3921,s4493,s4104,s4207,s1482,s5439,s5519,s1791,s2151,s5510,s667,s4079,s3832,s3512,s3573,s5533,s5526,s1448,s1693,s64,s5473,s5326,s5327]) ).
cnf(s5535,plain,
spl0_406,
inference(rat,[],[s4732,s4092,s3642,s4955,s2052,s2184,s4886,s5534,s161,s3738,s1966,s4942,s3925,s12,s4937,s5525,s3466,s667,s2037,s4205,s4079,s4865,s4958,s4041,s3832,s3465,s4985,s4912,s3512,s3573,s3579,s3921,s5533,s4104,s4207,s1482,s1839,s5439,s5526,s13,s4493,s5519,s1791,s2151,s5510,s1522,s1448,s64,s5473,s1693,s5326,s3492,s5327]) ).
cnf(s5536,plain,
~ spl0_370,
inference(rat,[],[s4145,s5535]) ).
cnf(s5537,plain,
~ spl0_397,
inference(rat,[],[s2219,s5535]) ).
cnf(s5538,plain,
~ spl0_435,
inference(rat,[],[s2207,s5535]) ).
cnf(s5539,plain,
~ spl0_396,
inference(rat,[],[s2129,s5535]) ).
cnf(s5540,plain,
~ spl0_4,
inference(rat,[],[s1704,s5535]) ).
cnf(s5541,plain,
spl0_400,
inference(rat,[],[s1703,s5535]) ).
cnf(s5542,plain,
spl0_371,
inference(rat,[],[s4104,s1693,s5536]) ).
cnf(s5543,plain,
spl0_403,
inference(rat,[],[s4102,s5537]) ).
cnf(s5544,plain,
spl0_398,
inference(rat,[],[s4955,s1522,s5538]) ).
cnf(s5545,plain,
~ spl0_772,
inference(rat,[],[s3940,s5542,s5538]) ).
cnf(s5546,plain,
~ spl0_450,
inference(rat,[],[s3853,s5473,s5539]) ).
cnf(s5548,plain,
spl0_405,
inference(rat,[],[s1992,s5539]) ).
cnf(s5557,plain,
~ spl0_519,
inference(rat,[],[s4533,s5542,s5543]) ).
cnf(s5558,plain,
spl0_393,
inference(rat,[],[s5052,s5546,s5543]) ).
cnf(s5559,plain,
~ spl0_38,
inference(rat,[],[s1561,s5537,s5544]) ).
cnf(s5560,plain,
~ spl0_67,
inference(rat,[],[s4301,s5543,s5548]) ).
cnf(s5563,plain,
~ spl0_79,
inference(rat,[],[s444,s5559]) ).
cnf(s5564,plain,
( ~ spl0_11
| ~ spl0_53
| ~ spl0_377
| spl0_787 ),
inference(rat,[],[s4797,s5480,s5516,s5038,s3618,s5473,s5563,s5544,s5326,s5542]) ).
cnf(s5565,plain,
( spl0_35
| ~ spl0_377
| spl0_787 ),
inference(rat,[],[s4892,s162,s4886,s118,s4911,s4797,s4758,s3465,s3895,s4182,s3968,s5521,s3669,s2053,s9,s13,s5564,s142,s3703,s5038,s3618,s1448,s5546,s5473,s5543,s1693,s5326,s5327,s5542]) ).
cnf(s5566,plain,
( ~ spl0_377
| spl0_787 ),
inference(rat,[],[s5517,s5439,s5565,s5038,s3618,s5544,s5326,s5542]) ).
cnf(s5567,plain,
( ~ spl0_415
| spl0_787 ),
inference(rat,[],[s5488,s4493,s3627,s4974,s5038,s5566,s5537,s5538,s5326]) ).
cnf(s5568,plain,
( spl0_35
| spl0_787 ),
inference(rat,[],[s3699,s3879,s4531,s5063,s4911,s5447,s1786,s4891,s161,s4928,s3925,s12,s4937,s5525,s4734,s8,s5494,s5508,s4457,s142,s1482,s5566,s1791,s732,s2151,s5567,s1693,s5557,s5546,s5543,s5542,s5473,s5540,s5563]) ).
cnf(s5569,plain,
( ~ spl0_11
| spl0_787 ),
inference(rat,[],[s2052,s1920,s2090,s5518,s4,s4173,s5504,s1482,s5566,s4886,s162,s595,s3813,s4995,s1904,s4911,s2151,s5567,s667,s5568,s5548,s5473,s5542,s5545,s5560,s1552,s5546,s1448]) ).
cnf(s5570,plain,
spl0_787,
inference(rat,[],[s1920,s4937,s2052,s5525,s4,s1839,s8,s13,s5569,s162,s595,s3813,s4995,s1904,s4886,s4911,s667,s5568,s1791,s2151,s5567,s1482,s5566,s5548,s5542,s5540,s5327,s1552,s1448,s5546,s5560]) ).
cnf(s5572,plain,
~ spl0_795,
inference(rat,[],[s3921,s5570]) ).
cnf(s5573,plain,
~ spl0_774,
inference(rat,[],[s3579,s5570]) ).
cnf(s5574,plain,
~ spl0_796,
inference(rat,[],[s3573,s5570]) ).
cnf(s5577,plain,
~ spl0_779,
inference(rat,[],[s3512,s5570]) ).
cnf(s5580,plain,
spl0_788,
inference(rat,[],[s4912,s3492,s5572]) ).
cnf(s5582,plain,
spl0_773,
inference(rat,[],[s3465,s1693,s5573]) ).
cnf(s5585,plain,
~ spl0_738,
inference(rat,[],[s4041,s5582,s5580]) ).
cnf(s5587,plain,
~ spl0_482,
inference(rat,[],[s3472,s5577,s5582]) ).
cnf(s5588,plain,
~ spl0_50,
inference(rat,[],[s4758,s5543,s5574,s5582]) ).
cnf(s5591,plain,
~ spl0_8,
inference(rat,[],[s3361,s5541,s1522,s5585]) ).
cnf(s5593,plain,
~ spl0_436,
inference(rat,[],[s3680,s5558,s5585]) ).
cnf(s5594,plain,
~ spl0_415,
inference(rat,[],[s3611,s5558,s5587]) ).
cnf(s5595,plain,
spl0_442,
inference(rat,[],[s2241,s5558,s5587]) ).
cnf(s5600,plain,
~ spl0_440,
inference(rat,[],[s4911,s5546,s5588]) ).
cnf(s5602,plain,
spl0_7,
inference(rat,[],[s4,s5591]) ).
cnf(s5611,plain,
~ spl0_480,
inference(rat,[],[s3671,s5595,s1522,s5593]) ).
cnf(s5613,plain,
~ spl0_26,
inference(rat,[],[s2151,s5594]) ).
cnf(s5625,plain,
spl0_448,
inference(rat,[],[s4886,s1448,s5600]) ).
cnf(s5627,plain,
~ spl0_228,
inference(rat,[],[s1904,s5594,s1552,s5600]) ).
cnf(s5630,plain,
~ spl0_15,
inference(rat,[],[s4937,s5613,s5611]) ).
cnf(s5633,plain,
~ spl0_59,
inference(rat,[],[s3338,s5593,s1522,s5625]) ).
cnf(s5634,plain,
~ spl0_81,
inference(rat,[],[s4995,s5613,s5627]) ).
cnf(s5639,plain,
spl0_234,
inference(rat,[],[s2090,s5602,s5473,s5630]) ).
cnf(s5641,plain,
~ spl0_244,
inference(rat,[],[s3813,s5548,s1552,s5634]) ).
cnf(s5651,plain,
spl0_55,
inference(rat,[],[s5012,s5633,s5639]) ).
cnf(s5653,plain,
$false,
inference(rat,[],[s595,s5588,s5641,s5651]) ).
thf(f51043,plain,
$false,
inference(avatar_sat_refutation,[],[s5653]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA137^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 % Computer : n008.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.24 % DateTime : Tue Sep 29 19:03:39 UTC 2026
% 0.10/0.24 % CPUTime :
% 0.10/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.30 Running higher-order theorem proving
% 0.26/0.31 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.65/0.47 % (3585434)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.65/0.47 % (3585439)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=196158429:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.65/0.47 % (3585444)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3175067329:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.65/0.47 % (3585445)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.65/0.47 % (3585445)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
% 0.65/0.47 % (3585440)lrs+10_16_si=on:nwc=1.5:random_seed=3910023475:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.65/0.47 % (3585441)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1006269227:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.65/0.47 % (3585442)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=4268645409: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)
% 0.65/0.47 % (3585443)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=976249941:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.65/0.47 % (3585445)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=3959193258:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.65/0.47 % (3585441)Instruction limit reached!
% 0.65/0.47 % (3585441)------------------------------
% 0.65/0.47 % (3585441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.47 % (3585441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.47 % (3585441)CaDiCaL version: 2.1.3
% 0.65/0.47 % (3585441)Termination reason: Instruction limit
% 0.65/0.47 % (3585441)Termination phase: Saturation
% 0.65/0.47 % (3585441)Time elapsed: 0.004 s
% 0.65/0.47 % (3585441)Peak memory usage: 12 MB
% 0.65/0.47 % (3585441)Instructions burned: 3 (million)
% 0.65/0.47 % (3585440)Instruction limit reached!
% 0.65/0.47 % (3585440)------------------------------
% 0.65/0.47 % (3585440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.47 % (3585440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.47 % (3585440)CaDiCaL version: 2.1.3
% 0.65/0.47 % (3585440)Termination reason: Instruction limit
% 0.65/0.47 % (3585440)Termination phase: Saturation
% 0.65/0.47 % (3585440)Time elapsed: 0.017 s
% 0.65/0.47 % (3585440)Peak memory usage: 12 MB
% 0.65/0.47 % (3585440)Instructions burned: 19 (million)
% 0.65/0.47 % (3585444)Instruction limit reached!
% 0.65/0.47 % (3585444)------------------------------
% 0.65/0.47 % (3585444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.47 % (3585444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.47 % (3585444)CaDiCaL version: 2.1.3
% 0.65/0.47 % (3585444)Termination reason: Instruction limit
% 0.65/0.47 % (3585444)Termination phase: Saturation
% 0.65/0.47 % (3585444)Time elapsed: 0.033 s
% 0.65/0.47 % (3585444)Peak memory usage: 12 MB
% 0.65/0.47 % (3585444)Instructions burned: 77 (million)
% 0.65/0.47 % (3585443)Instruction limit reached!
% 0.65/0.47 % (3585443)------------------------------
% 0.65/0.47 % (3585443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.47 % (3585443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.47 % (3585443)CaDiCaL version: 2.1.3
% 0.65/0.47 % (3585443)Termination reason: Instruction limit
% 0.65/0.47 % (3585443)Termination phase: Saturation
% 0.65/0.47 % (3585443)Time elapsed: 0.021 s
% 0.65/0.47 % (3585443)Peak memory usage: 11 MB
% 0.65/0.47 % (3585443)Instructions burned: 25 (million)
% 0.65/0.47 % (3585453)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2530888013:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.65/0.47 % (3585453)Instruction limit reached!
% 0.65/0.47 % (3585453)------------------------------
% 0.65/0.47 % (3585453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.51 % (3585453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.51 % (3585453)CaDiCaL version: 2.1.3
% 1.30/0.51 % (3585453)Termination reason: Instruction limit
% 1.30/0.51 % (3585453)Termination phase: Saturation
% 1.30/0.51 % (3585453)Time elapsed: 0.003 s
% 1.30/0.51 % (3585453)Peak memory usage: 12 MB
% 1.30/0.51 % (3585453)Instructions burned: 2 (million)
% 1.30/0.51 % (3585456)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2062013615:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.30/0.51 % (3585454)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2289599931:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.30/0.51 % (3585456)Instruction limit reached!
% 1.30/0.51 % (3585456)------------------------------
% 1.30/0.51 % (3585456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.51 % (3585456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.51 % (3585456)CaDiCaL version: 2.1.3
% 1.30/0.51 % (3585456)Termination reason: Instruction limit
% 1.30/0.51 % (3585456)Termination phase: Saturation
% 1.30/0.51 % (3585456)Time elapsed: 0.007 s
% 1.30/0.51 % (3585456)Peak memory usage: 12 MB
% 1.30/0.51 % (3585456)Instructions burned: 14 (million)
% 1.30/0.51 % (3585455)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.30/0.51 % (3585439)Instruction limit reached!
% 1.30/0.51 % (3585439)------------------------------
% 1.30/0.51 % (3585439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.51 % (3585439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.51 % (3585439)CaDiCaL version: 2.1.3
% 1.30/0.51 % (3585439)Termination reason: Instruction limit
% 1.30/0.51 % (3585439)Termination phase: Saturation
% 1.30/0.51 % (3585439)Time elapsed: 0.064 s
% 1.30/0.51 % (3585439)Peak memory usage: 12 MB
% 1.30/0.51 % (3585439)Instructions burned: 87 (million)
% 1.30/0.51 % (3585455)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4009772071:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.30/0.51 % (3585454)Instruction limit reached!
% 1.30/0.51 % (3585454)------------------------------
% 1.30/0.51 % (3585454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.51 % (3585454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.51 % (3585454)CaDiCaL version: 2.1.3
% 1.30/0.51 % (3585454)Termination reason: Instruction limit
% 1.30/0.51 % (3585454)Termination phase: Saturation
% 1.30/0.51 % (3585454)Time elapsed: 0.006 s
% 1.30/0.51 % (3585454)Peak memory usage: 12 MB
% 1.30/0.51 % (3585454)Instructions burned: 5 (million)
% 1.30/0.51 % (3585459)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
% 1.30/0.51 % (3585459)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.30/0.51 % (3585459)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3696367609:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.30/0.51 % (3585455)Instruction limit reached!
% 1.30/0.51 % (3585455)------------------------------
% 1.30/0.51 % (3585455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.51 % (3585455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.51 % (3585455)CaDiCaL version: 2.1.3
% 1.30/0.51 % (3585455)Termination reason: Instruction limit
% 1.30/0.51 % (3585455)Termination phase: Saturation
% 1.30/0.51 % (3585455)Time elapsed: 0.008 s
% 1.30/0.51 % (3585455)Peak memory usage: 12 MB
% 1.30/0.51 % (3585455)Instructions burned: 8 (million)
% 1.30/0.51 % (3585461)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=1036414056:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.30/0.51 % (3585459)Instruction limit reached!
% 1.30/0.51 % (3585459)------------------------------
% 1.30/0.51 % (3585459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.54 % (3585459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.54 % (3585459)CaDiCaL version: 2.1.3
% 1.30/0.54 % (3585459)Termination reason: Instruction limit
% 1.30/0.54 % (3585459)Termination phase: Saturation
% 1.30/0.54 % (3585459)Time elapsed: 0.016 s
% 1.30/0.54 % (3585459)Peak memory usage: 12 MB
% 1.30/0.54 % (3585459)Instructions burned: 28 (million)
% 1.30/0.54 % (3585464)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.30/0.54 % (3585462)lrs+10_1_si=on:cs=on:random_seed=1947811707:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.30/0.54 % (3585464)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=1751380613:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.30/0.54 % (3585464)Instruction limit reached!
% 1.30/0.54 % (3585464)------------------------------
% 1.30/0.54 % (3585464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.54 % (3585464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.54 % (3585464)CaDiCaL version: 2.1.3
% 1.30/0.54 % (3585464)Termination reason: Instruction limit
% 1.30/0.54 % (3585464)Termination phase: Saturation
% 1.30/0.54 % (3585464)Time elapsed: 0.003 s
% 1.30/0.54 % (3585464)Peak memory usage: 12 MB
% 1.30/0.54 % (3585464)Instructions burned: 2 (million)
% 1.30/0.54 % (3585462)Instruction limit reached!
% 1.30/0.54 % (3585462)------------------------------
% 1.30/0.54 % (3585462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.54 % (3585462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.54 % (3585462)CaDiCaL version: 2.1.3
% 1.30/0.54 % (3585462)Termination reason: Instruction limit
% 1.30/0.54 % (3585462)Termination phase: Saturation
% 1.30/0.54 % (3585462)Time elapsed: 0.008 s
% 1.30/0.54 % (3585462)Peak memory usage: 12 MB
% 1.30/0.54 % (3585462)Instructions burned: 8 (million)
% 1.30/0.54 % (3585466)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=98404147:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.30/0.54 % (3585466)Refutation not found, incomplete strategy
% 1.30/0.54 % (3585466)------------------------------
% 1.30/0.54 % (3585466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.54 % (3585466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.54 % (3585466)CaDiCaL version: 2.1.3
% 1.30/0.54 % (3585466)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.54 % (3585466)Time elapsed: 0.001 s
% 1.30/0.54 % (3585466)Peak memory usage: 11 MB
% 1.30/0.54 % (3585466)------------------------------
% 1.30/0.54 % (3585466)------------------------------
% 1.30/0.54 % (3585468)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2015424896:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.30/0.54 % (3585468)Refutation not found, incomplete strategy
% 1.30/0.54 % (3585468)------------------------------
% 1.30/0.54 % (3585468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.54 % (3585468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.54 % (3585468)CaDiCaL version: 2.1.3
% 1.30/0.54 % (3585468)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.54 % (3585468)Time elapsed: 0.001 s
% 1.30/0.54 % (3585468)Peak memory usage: 11 MB
% 1.30/0.54 % (3585461)Instruction limit reached!
% 1.30/0.54 % (3585461)------------------------------
% 1.30/0.54 % (3585461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.54 % (3585461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.54 % (3585461)CaDiCaL version: 2.1.3
% 1.30/0.54 % (3585461)Termination reason: Instruction limit
% 1.30/0.54 % (3585461)Termination phase: Saturation
% 1.30/0.54 % (3585461)Time elapsed: 0.037 s
% 1.30/0.54 % (3585461)Peak memory usage: 12 MB
% 1.30/0.54 % (3585461)Instructions burned: 87 (million)
% 1.30/0.54 % (3585468)------------------------------
% 1.30/0.54 % (3585468)------------------------------
% 1.30/0.54 % (3585445)Instruction limit reached!
% 1.30/0.54 % (3585445)------------------------------
% 1.30/0.54 % (3585445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.54 % (3585445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.61 % (3585445)CaDiCaL version: 2.1.3
% 1.93/0.61 % (3585445)Termination reason: Instruction limit
% 1.93/0.61 % (3585445)Termination phase: Saturation
% 1.93/0.61 % (3585445)Time elapsed: 0.108 s
% 1.93/0.61 % (3585445)Peak memory usage: 12 MB
% 1.93/0.61 % (3585445)Instructions burned: 158 (million)
% 1.93/0.61 % (3585477)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4117141373: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)
% 1.93/0.61 % (3585477)Refutation not found, incomplete strategy
% 1.93/0.61 % (3585477)------------------------------
% 1.93/0.61 % (3585477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.61 % (3585477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.61 % (3585477)CaDiCaL version: 2.1.3
% 1.93/0.61 % (3585477)Termination reason: Refutation not found, incomplete strategy
% 1.93/0.61 % (3585477)Time elapsed: 0.0000 s
% 1.93/0.61 % (3585477)Peak memory usage: 11 MB
% 1.93/0.61 % (3585472)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3976309814:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.93/0.61 % (3585477)------------------------------
% 1.93/0.61 % (3585477)------------------------------
% 1.93/0.61 % (3585474)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4011511385:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.93/0.61 % (3585474)Refutation not found, incomplete strategy
% 1.93/0.61 % (3585474)------------------------------
% 1.93/0.61 % (3585474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.61 % (3585474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.61 % (3585474)CaDiCaL version: 2.1.3
% 1.93/0.61 % (3585474)Termination reason: Refutation not found, incomplete strategy
% 1.93/0.61 % (3585474)Time elapsed: 0.001 s
% 1.93/0.61 % (3585474)Peak memory usage: 11 MB
% 1.93/0.61 % (3585474)------------------------------
% 1.93/0.61 % (3585474)------------------------------
% 1.93/0.61 % (3585472)Instruction limit reached!
% 1.93/0.61 % (3585472)------------------------------
% 1.93/0.61 % (3585472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.61 % (3585472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.61 % (3585472)CaDiCaL version: 2.1.3
% 1.93/0.61 % (3585472)Termination reason: Instruction limit
% 1.93/0.61 % (3585472)Termination phase: Saturation
% 1.93/0.61 % (3585472)Time elapsed: 0.014 s
% 1.93/0.61 % (3585472)Peak memory usage: 12 MB
% 1.93/0.61 % (3585472)Instructions burned: 14 (million)
% 1.93/0.61 % (3585471)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=727351127:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.93/0.61 % (3585471)Refutation not found, incomplete strategy
% 1.93/0.61 % (3585471)------------------------------
% 1.93/0.61 % (3585471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.61 % (3585471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.61 % (3585471)CaDiCaL version: 2.1.3
% 1.93/0.61 % (3585471)Termination reason: Refutation not found, incomplete strategy
% 1.93/0.61 % (3585471)Time elapsed: 0.001 s
% 1.93/0.61 % (3585471)Peak memory usage: 11 MB
% 1.93/0.61 % (3585481)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=270989895:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.93/0.61 % (3585471)------------------------------
% 1.93/0.61 % (3585471)------------------------------
% 1.93/0.61 % (3585478)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3390584600:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.93/0.61 % (3585476)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1200187953:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.93/0.61 % (3585481)Instruction limit reached!
% 1.93/0.61 % (3585481)------------------------------
% 1.93/0.61 % (3585481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.93/0.61 % (3585481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.93/0.61 % (3585481)CaDiCaL version: 2.1.3
% 1.93/0.61 % (3585481)Termination reason: Instruction limit
% 2.18/0.65 % (3585481)Termination phase: Saturation
% 2.18/0.65 % (3585481)Time elapsed: 0.009 s
% 2.18/0.65 % (3585481)Peak memory usage: 11 MB
% 2.18/0.65 % (3585481)Instructions burned: 24 (million)
% 2.18/0.65 % (3585483)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1057993530:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.18/0.65 % (3585476)Instruction limit reached!
% 2.18/0.65 % (3585476)------------------------------
% 2.18/0.65 % (3585476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.65 % (3585476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.65 % (3585476)CaDiCaL version: 2.1.3
% 2.18/0.65 % (3585476)Termination reason: Instruction limit
% 2.18/0.65 % (3585476)Termination phase: Saturation
% 2.18/0.65 % (3585476)Time elapsed: 0.013 s
% 2.18/0.65 % (3585476)Peak memory usage: 12 MB
% 2.18/0.65 % (3585476)Instructions burned: 15 (million)
% 2.18/0.65 % (3585485)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.18/0.65 % (3585485)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.18/0.65 % (3585478)Instruction limit reached!
% 2.18/0.65 % (3585478)------------------------------
% 2.18/0.65 % (3585478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.65 % (3585487)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.18/0.65 % (3585478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.65 % (3585478)CaDiCaL version: 2.1.3
% 2.18/0.65 % (3585478)Termination reason: Instruction limit
% 2.18/0.65 % (3585478)Termination phase: Saturation
% 2.18/0.65 % (3585478)Time elapsed: 0.024 s
% 2.18/0.65 % (3585478)Peak memory usage: 12 MB
% 2.18/0.65 % (3585478)Instructions burned: 28 (million)
% 2.18/0.65 % (3585485)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=3325247897:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.18/0.65 % (3585487)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=3063128579:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.18/0.65 % (3585492)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2232056565:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.18/0.65 % (3585483)Instruction limit reached!
% 2.18/0.65 % (3585483)------------------------------
% 2.18/0.65 % (3585483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.65 % (3585483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.65 % (3585483)CaDiCaL version: 2.1.3
% 2.18/0.65 % (3585483)Termination reason: Instruction limit
% 2.18/0.65 % (3585483)Termination phase: Saturation
% 2.18/0.65 % (3585483)Time elapsed: 0.028 s
% 2.18/0.65 % (3585483)Peak memory usage: 12 MB
% 2.18/0.65 % (3585483)Instructions burned: 62 (million)
% 2.18/0.65 % (3585487)Instruction limit reached!
% 2.18/0.65 % (3585487)------------------------------
% 2.18/0.65 % (3585487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.65 % (3585487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.65 % (3585487)CaDiCaL version: 2.1.3
% 2.18/0.65 % (3585487)Termination reason: Instruction limit
% 2.18/0.65 % (3585487)Termination phase: Saturation
% 2.18/0.65 % (3585487)Time elapsed: 0.008 s
% 2.18/0.65 % (3585487)Peak memory usage: 12 MB
% 2.18/0.65 % (3585487)Instructions burned: 8 (million)
% 2.18/0.65 % (3585490)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=2526267309:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.18/0.65 % (3585492)Instruction limit reached!
% 2.18/0.65 % (3585492)------------------------------
% 2.18/0.65 % (3585492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.65 % (3585492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.65 % (3585492)CaDiCaL version: 2.1.3
% 2.51/0.71 % (3585492)Termination reason: Instruction limit
% 2.51/0.71 % (3585492)Termination phase: Saturation
% 2.51/0.71 % (3585492)Time elapsed: 0.004 s
% 2.51/0.71 % (3585492)Peak memory usage: 12 MB
% 2.51/0.71 % (3585492)Instructions burned: 8 (million)
% 2.51/0.71 % (3585485)Instruction limit reached!
% 2.51/0.71 % (3585485)------------------------------
% 2.51/0.71 % (3585485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.71 % (3585485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.71 % (3585485)CaDiCaL version: 2.1.3
% 2.51/0.71 % (3585485)Termination reason: Instruction limit
% 2.51/0.71 % (3585485)Termination phase: Saturation
% 2.51/0.71 % (3585485)Time elapsed: 0.017 s
% 2.51/0.71 % (3585485)Peak memory usage: 12 MB
% 2.51/0.71 % (3585485)Instructions burned: 17 (million)
% 2.51/0.71 % (3585494)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=948107241:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.51/0.71 % (3585499)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=121811306:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.51/0.71 % (3585490)Instruction limit reached!
% 2.51/0.71 % (3585490)------------------------------
% 2.51/0.71 % (3585490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.71 % (3585490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.71 % (3585490)CaDiCaL version: 2.1.3
% 2.51/0.71 % (3585490)Termination reason: Instruction limit
% 2.51/0.71 % (3585490)Termination phase: Saturation
% 2.51/0.71 % (3585490)Time elapsed: 0.029 s
% 2.51/0.71 % (3585490)Peak memory usage: 12 MB
% 2.51/0.71 % (3585490)Instructions burned: 31 (million)
% 2.51/0.71 % (3585497)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2069857288:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.51/0.71 % (3585501)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2219398818:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.51/0.71 % (3585500)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2133962116:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.51/0.71 % (3585501)Refutation not found, incomplete strategy
% 2.51/0.71 % (3585501)------------------------------
% 2.51/0.71 % (3585501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.71 % (3585501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.71 % (3585501)CaDiCaL version: 2.1.3
% 2.51/0.71 % (3585501)Termination reason: Refutation not found, incomplete strategy
% 2.51/0.71 % (3585501)Time elapsed: 0.001 s
% 2.51/0.71 % (3585501)Peak memory usage: 11 MB
% 2.51/0.71 % (3585494)Instruction limit reached!
% 2.51/0.71 % (3585494)------------------------------
% 2.51/0.71 % (3585494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.71 % (3585494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.71 % (3585494)CaDiCaL version: 2.1.3
% 2.51/0.71 % (3585494)Termination reason: Instruction limit
% 2.51/0.71 % (3585494)Termination phase: Saturation
% 2.51/0.71 % (3585494)Time elapsed: 0.018 s
% 2.51/0.71 % (3585494)Peak memory usage: 11 MB
% 2.51/0.71 % (3585494)Instructions burned: 23 (million)
% 2.51/0.71 % (3585501)------------------------------
% 2.51/0.71 % (3585501)------------------------------
% 2.51/0.71 % (3585497)Instruction limit reached!
% 2.51/0.71 % (3585497)------------------------------
% 2.51/0.71 % (3585497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.71 % (3585497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.71 % (3585497)CaDiCaL version: 2.1.3
% 2.51/0.71 % (3585497)Termination reason: Instruction limit
% 2.51/0.71 % (3585497)Termination phase: Saturation
% 2.51/0.71 % (3585497)Time elapsed: 0.019 s
% 2.51/0.71 % (3585497)Peak memory usage: 12 MB
% 2.51/0.71 % (3585497)Instructions burned: 20 (million)
% 2.51/0.71 % (3585504)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=39985261:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.51/0.71 % (3585508)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.51/0.71 % (3585508)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1234387479:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.77/0.82 % (3585509)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1471758697:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.77/0.82 % (3585509)Refutation not found, incomplete strategy
% 2.77/0.82 % (3585509)------------------------------
% 2.77/0.82 % (3585509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.82 % (3585509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.82 % (3585509)CaDiCaL version: 2.1.3
% 2.77/0.82 % (3585509)Termination reason: Refutation not found, incomplete strategy
% 2.77/0.82 % (3585509)Time elapsed: 0.001 s
% 2.77/0.82 % (3585509)Peak memory usage: 11 MB
% 2.77/0.82 % (3585509)------------------------------
% 2.77/0.82 % (3585509)------------------------------
% 2.77/0.82 % (3585510)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=1487429736: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)
% 2.77/0.82 % (3585510)Refutation not found, incomplete strategy
% 2.77/0.82 % (3585510)------------------------------
% 2.77/0.82 % (3585510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.82 % (3585510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.82 % (3585510)CaDiCaL version: 2.1.3
% 2.77/0.82 % (3585510)Termination reason: Refutation not found, incomplete strategy
% 2.77/0.82 % (3585510)Time elapsed: 0.001 s
% 2.77/0.82 % (3585510)Peak memory usage: 12 MB
% 2.77/0.82 % (3585510)------------------------------
% 2.77/0.82 % (3585510)------------------------------
% 2.77/0.82 % (3585508)Instruction limit reached!
% 2.77/0.82 % (3585508)------------------------------
% 2.77/0.82 % (3585508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.82 % (3585508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.82 % (3585508)CaDiCaL version: 2.1.3
% 2.77/0.82 % (3585508)Termination reason: Instruction limit
% 2.77/0.82 % (3585508)Termination phase: Saturation
% 2.77/0.82 % (3585508)Time elapsed: 0.007 s
% 2.77/0.82 % (3585508)Peak memory usage: 12 MB
% 2.77/0.82 % (3585508)Instructions burned: 7 (million)
% 2.77/0.82 % (3585516)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1224028418:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.77/0.82 % (3585504)Instruction limit reached!
% 2.77/0.82 % (3585504)------------------------------
% 2.77/0.82 % (3585504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.82 % (3585504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.82 % (3585504)CaDiCaL version: 2.1.3
% 2.77/0.82 % (3585504)Termination reason: Instruction limit
% 2.77/0.82 % (3585504)Termination phase: Saturation
% 2.77/0.82 % (3585504)Time elapsed: 0.034 s
% 2.77/0.82 % (3585504)Peak memory usage: 12 MB
% 2.77/0.82 % (3585504)Instructions burned: 43 (million)
% 2.77/0.82 % (3585514)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.77/0.82 % (3585514)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2122034431:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.77/0.82 % (3585514)Refutation not found, incomplete strategy
% 2.77/0.82 % (3585514)------------------------------
% 2.77/0.82 % (3585514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.82 % (3585514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.82 % (3585514)CaDiCaL version: 2.1.3
% 2.77/0.82 % (3585514)Termination reason: Refutation not found, incomplete strategy
% 2.77/0.82 % (3585514)Time elapsed: 0.002 s
% 2.77/0.82 % (3585514)Peak memory usage: 11 MB
% 2.77/0.82 % (3585514)Instructions burned: 1 (million)
% 2.77/0.82 % (3585514)------------------------------
% 2.77/0.82 % (3585514)------------------------------
% 2.77/0.82 % (3585517)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1997588393:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.77/0.82 % (3585516)Instruction limit reached!
% 2.77/0.82 % (3585516)------------------------------
% 2.77/0.89 % (3585516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.89 % (3585516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.89 % (3585516)CaDiCaL version: 2.1.3
% 2.77/0.89 % (3585516)Termination reason: Instruction limit
% 2.77/0.89 % (3585516)Termination phase: Saturation
% 2.77/0.89 % (3585516)Time elapsed: 0.014 s
% 2.77/0.89 % (3585516)Peak memory usage: 12 MB
% 2.77/0.89 % (3585516)Instructions burned: 23 (million)
% 2.77/0.89 % (3585517)Refutation not found, incomplete strategy
% 2.77/0.89 % (3585517)------------------------------
% 2.77/0.89 % (3585517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.89 % (3585517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.89 % (3585517)CaDiCaL version: 2.1.3
% 2.77/0.89 % (3585517)Termination reason: Refutation not found, incomplete strategy
% 2.77/0.89 % (3585517)Time elapsed: 0.003 s
% 2.77/0.89 % (3585517)Peak memory usage: 12 MB
% 2.77/0.89 % (3585517)Instructions burned: 3 (million)
% 2.77/0.89 % (3585517)------------------------------
% 2.77/0.89 % (3585517)------------------------------
% 2.77/0.89 % (3585519)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=144182594:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.77/0.89 % (3585523)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=1401741830:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.77/0.89 % (3585500)Instruction limit reached!
% 2.77/0.89 % (3585500)------------------------------
% 2.77/0.89 % (3585500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.89 % (3585500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.89 % (3585500)CaDiCaL version: 2.1.3
% 2.77/0.89 % (3585500)Termination reason: Instruction limit
% 2.77/0.89 % (3585500)Termination phase: Saturation
% 2.77/0.89 % (3585500)Time elapsed: 0.101 s
% 2.77/0.89 % (3585500)Peak memory usage: 12 MB
% 2.77/0.89 % (3585500)Instructions burned: 143 (million)
% 2.77/0.89 % (3585522)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=2243193615:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.77/0.89 % (3585524)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1918426094:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.77/0.89 % (3585524)Refutation not found, incomplete strategy
% 2.77/0.89 % (3585524)------------------------------
% 2.77/0.89 % (3585524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.89 % (3585524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.89 % (3585524)CaDiCaL version: 2.1.3
% 2.77/0.89 % (3585524)Termination reason: Refutation not found, incomplete strategy
% 2.77/0.89 % (3585524)Time elapsed: 0.002 s
% 2.77/0.89 % (3585524)Peak memory usage: 12 MB
% 2.77/0.89 % (3585524)Instructions burned: 1 (million)
% 2.77/0.89 % (3585524)------------------------------
% 2.77/0.89 % (3585524)------------------------------
% 2.77/0.89 % (3585523)Instruction limit reached!
% 2.77/0.89 % (3585523)------------------------------
% 2.77/0.89 % (3585523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.89 % (3585523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.89 % (3585523)CaDiCaL version: 2.1.3
% 2.77/0.89 % (3585523)Termination reason: Instruction limit
% 2.77/0.89 % (3585523)Termination phase: Saturation
% 2.77/0.89 % (3585523)Time elapsed: 0.032 s
% 2.77/0.89 % (3585523)Peak memory usage: 12 MB
% 2.77/0.89 % (3585523)Instructions burned: 45 (million)
% 2.77/0.89 % (3585530)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.77/0.89 % (3585528)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2874540820:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.77/0.89 % (3585530)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2092975792:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.26/0.96 % (3585531)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3460175184:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.26/0.96 % (3585528)Instruction limit reached!
% 3.26/0.96 % (3585528)------------------------------
% 3.26/0.96 % (3585528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.96 % (3585528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.96 % (3585528)CaDiCaL version: 2.1.3
% 3.26/0.96 % (3585528)Termination reason: Instruction limit
% 3.26/0.96 % (3585528)Termination phase: Saturation
% 3.26/0.96 % (3585528)Time elapsed: 0.019 s
% 3.26/0.96 % (3585528)Peak memory usage: 12 MB
% 3.26/0.96 % (3585528)Instructions burned: 21 (million)
% 3.26/0.96 % (3585531)Instruction limit reached!
% 3.26/0.96 % (3585531)------------------------------
% 3.26/0.96 % (3585531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.96 % (3585531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.96 % (3585531)CaDiCaL version: 2.1.3
% 3.26/0.96 % (3585531)Termination reason: Instruction limit
% 3.26/0.96 % (3585531)Termination phase: Saturation
% 3.26/0.96 % (3585531)Time elapsed: 0.008 s
% 3.26/0.96 % (3585531)Peak memory usage: 12 MB
% 3.26/0.96 % (3585531)Instructions burned: 14 (million)
% 3.26/0.96 % (3585442)Instruction limit reached!
% 3.26/0.96 % (3585442)------------------------------
% 3.26/0.96 % (3585442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.96 % (3585442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.96 % (3585442)CaDiCaL version: 2.1.3
% 3.26/0.96 % (3585442)Termination reason: Instruction limit
% 3.26/0.96 % (3585442)Termination phase: Saturation
% 3.26/0.96 % (3585442)Time elapsed: 0.382 s
% 3.26/0.96 % (3585442)Peak memory usage: 13 MB
% 3.26/0.96 % (3585442)Instructions burned: 635 (million)
% 3.26/0.96 % (3585537)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1308500729:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.26/0.96 % (3585536)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3555004029:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 3.26/0.96 % (3585536)Refutation not found, incomplete strategy
% 3.26/0.96 % (3585536)------------------------------
% 3.26/0.96 % (3585536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.96 % (3585536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.96 % (3585536)CaDiCaL version: 2.1.3
% 3.26/0.96 % (3585536)Termination reason: Refutation not found, incomplete strategy
% 3.26/0.96 % (3585536)Time elapsed: 0.002 s
% 3.26/0.96 % (3585536)Peak memory usage: 11 MB
% 3.26/0.96 % (3585536)Instructions burned: 1 (million)
% 3.26/0.96 % (3585535)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=1479025214:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.26/0.96 % (3585536)------------------------------
% 3.26/0.96 % (3585536)------------------------------
% 3.26/0.96 % (3585537)Instruction limit reached!
% 3.26/0.96 % (3585537)------------------------------
% 3.26/0.96 % (3585537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/0.96 % (3585537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/0.96 % (3585537)CaDiCaL version: 2.1.3
% 3.26/0.96 % (3585537)Termination reason: Instruction limit
% 3.26/0.96 % (3585537)Termination phase: Saturation
% 3.26/0.96 % (3585537)Time elapsed: 0.018 s
% 3.26/0.96 % (3585537)Peak memory usage: 12 MB
% 3.26/0.96 % (3585537)Instructions burned: 33 (million)
% 3.26/0.96 % (3585541)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3590441171:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.26/0.96 % (3585542)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=1080171983:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.26/0.96 % (3585535)Instruction limit reached!
% 3.26/0.96 % (3585535)------------------------------
% 3.26/0.96 % (3585535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/1.02 % (3585535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.02 % (3585535)CaDiCaL version: 2.1.3
% 3.26/1.02 % (3585535)Termination reason: Instruction limit
% 3.26/1.02 % (3585535)Termination phase: Saturation
% 3.26/1.02 % (3585535)Time elapsed: 0.052 s
% 3.26/1.02 % (3585535)Peak memory usage: 12 MB
% 3.26/1.02 % (3585535)Instructions burned: 66 (million)
% 3.26/1.02 % (3585542)Instruction limit reached!
% 3.26/1.02 % (3585542)------------------------------
% 3.26/1.02 % (3585542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/1.02 % (3585542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.02 % (3585542)CaDiCaL version: 2.1.3
% 3.26/1.02 % (3585542)Termination reason: Instruction limit
% 3.26/1.02 % (3585542)Termination phase: Saturation
% 3.26/1.02 % (3585542)Time elapsed: 0.031 s
% 3.26/1.02 % (3585542)Peak memory usage: 12 MB
% 3.26/1.02 % (3585542)Instructions burned: 35 (million)
% 3.26/1.02 % (3585545)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3198938534:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.26/1.02 % (3585545)Refutation not found, incomplete strategy
% 3.26/1.02 % (3585545)------------------------------
% 3.26/1.02 % (3585545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/1.02 % (3585545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.02 % (3585545)CaDiCaL version: 2.1.3
% 3.26/1.02 % (3585545)Termination reason: Refutation not found, incomplete strategy
% 3.26/1.02 % (3585545)Time elapsed: 0.001 s
% 3.26/1.02 % (3585545)Peak memory usage: 11 MB
% 3.26/1.02 % (3585545)Instructions burned: 1 (million)
% 3.26/1.02 % (3585545)------------------------------
% 3.26/1.02 % (3585545)------------------------------
% 3.26/1.02 % (3585530)Instruction limit reached!
% 3.26/1.02 % (3585530)------------------------------
% 3.26/1.02 % (3585530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/1.02 % (3585530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.02 % (3585530)CaDiCaL version: 2.1.3
% 3.26/1.02 % (3585530)Termination reason: Instruction limit
% 3.26/1.02 % (3585530)Termination phase: Saturation
% 3.26/1.02 % (3585530)Time elapsed: 0.135 s
% 3.26/1.02 % (3585530)Peak memory usage: 12 MB
% 3.26/1.02 % (3585530)Instructions burned: 200 (million)
% 3.26/1.02 % (3585546)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.26/1.02 % (3585548)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=1468517322:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 3.26/1.02 % (3585548)Refutation not found, incomplete strategy
% 3.26/1.02 % (3585548)------------------------------
% 3.26/1.02 % (3585548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/1.02 % (3585548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.02 % (3585548)CaDiCaL version: 2.1.3
% 3.26/1.02 % (3585548)Termination reason: Refutation not found, incomplete strategy
% 3.26/1.02 % (3585548)Time elapsed: 0.001 s
% 3.26/1.02 % (3585548)Peak memory usage: 11 MB
% 3.26/1.02 % (3585548)------------------------------
% 3.26/1.02 % (3585548)------------------------------
% 3.26/1.02 % (3585546)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3767578879:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2994 on theBenchmark for (2994ds/180Mi)
% 3.26/1.02 % (3585549)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=26511378:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 3.26/1.02 % (3585551)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2646980866:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 3.26/1.02 % (3585551)Refutation not found, incomplete strategy
% 3.26/1.02 % (3585551)------------------------------
% 3.26/1.02 % (3585551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.26/1.02 % (3585551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.26/1.02 % (3585551)CaDiCaL version: 2.1.3
% 3.26/1.02 % (3585551)Termination reason: Refutation not found, incomplete strategy
% 3.26/1.02 % (3585551)Time elapsed: 0.001 s
% 3.26/1.02 % (3585551)Peak memory usage: 11 MB
% 3.26/1.02 % (3585551)------------------------------
% 3.26/1.02 % (3585551)------------------------------
% 3.26/1.02 % (3585541)Instruction limit reached!
% 3.26/1.02 % (3585541)------------------------------
% 5.09/1.09 % (3585541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.09 % (3585541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.09 % (3585541)CaDiCaL version: 2.1.3
% 5.09/1.09 % (3585541)Termination reason: Instruction limit
% 5.09/1.09 % (3585541)Termination phase: Saturation
% 5.09/1.09 % (3585541)Time elapsed: 0.089 s
% 5.09/1.09 % (3585541)Peak memory usage: 12 MB
% 5.09/1.09 % (3585541)Instructions burned: 137 (million)
% 5.09/1.09 % (3585555)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2175473002:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 5.09/1.09 % (3585555)Refutation not found, incomplete strategy
% 5.09/1.09 % (3585555)------------------------------
% 5.09/1.09 % (3585555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.09 % (3585555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.09 % (3585555)CaDiCaL version: 2.1.3
% 5.09/1.09 % (3585555)Termination reason: Refutation not found, incomplete strategy
% 5.09/1.09 % (3585555)Time elapsed: 0.001 s
% 5.09/1.09 % (3585555)Peak memory usage: 11 MB
% 5.09/1.09 % (3585555)------------------------------
% 5.09/1.09 % (3585555)------------------------------
% 5.09/1.09 % (3585556)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=704925913:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 5.09/1.09 % (3585519)Instruction limit reached!
% 5.09/1.09 % (3585519)------------------------------
% 5.09/1.09 % (3585519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.09 % (3585519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.09 % (3585519)CaDiCaL version: 2.1.3
% 5.09/1.09 % (3585519)Termination reason: Instruction limit
% 5.09/1.09 % (3585519)Termination phase: Saturation
% 5.09/1.09 % (3585519)Time elapsed: 0.253 s
% 5.09/1.09 % (3585519)Peak memory usage: 13 MB
% 5.09/1.09 % (3585519)Instructions burned: 317 (million)
% 5.09/1.09 % (3585556)Refutation not found, incomplete strategy
% 5.09/1.09 % (3585556)------------------------------
% 5.09/1.09 % (3585556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.09 % (3585556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.09 % (3585556)CaDiCaL version: 2.1.3
% 5.09/1.09 % (3585556)Termination reason: Refutation not found, incomplete strategy
% 5.09/1.09 % (3585556)Time elapsed: 0.001 s
% 5.09/1.09 % (3585556)Peak memory usage: 12 MB
% 5.09/1.09 % (3585556)------------------------------
% 5.09/1.09 % (3585556)------------------------------
% 5.09/1.09 % (3585558)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3135073345:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 5.09/1.09 % (3585560)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=571661122:i=44:ep=R:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/44Mi)
% 5.09/1.09 % (3585558)Refutation not found, incomplete strategy
% 5.09/1.09 % (3585558)------------------------------
% 5.09/1.09 % (3585558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.09 % (3585558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.09 % (3585558)CaDiCaL version: 2.1.3
% 5.09/1.09 % (3585558)Termination reason: Refutation not found, incomplete strategy
% 5.09/1.09 % (3585558)Time elapsed: 0.002 s
% 5.09/1.09 % (3585558)Peak memory usage: 11 MB
% 5.09/1.09 % (3585558)Instructions burned: 1 (million)
% 5.09/1.09 % (3585558)------------------------------
% 5.09/1.09 % (3585558)------------------------------
% 5.09/1.09 % (3585549)Instruction limit reached!
% 5.09/1.09 % (3585549)------------------------------
% 5.09/1.09 % (3585549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.09/1.09 % (3585549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.09/1.09 % (3585549)CaDiCaL version: 2.1.3
% 5.09/1.09 % (3585549)Termination reason: Instruction limit
% 5.09/1.09 % (3585549)Termination phase: Saturation
% 5.09/1.09 % (3585549)Time elapsed: 0.076 s
% 5.09/1.09 % (3585549)Peak memory usage: 12 MB
% 5.09/1.09 % (3585549)Instructions burned: 97 (million)
% 5.09/1.09 % (3585561)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3650729657:s2a=on:i=571:nm=16:rtra=on_2993 on theBenchmark for (2993ds/571Mi)
% 5.09/1.09 % (3585561)Refutation not found, incomplete strategy
% 5.69/1.19 % (3585561)------------------------------
% 5.69/1.19 % (3585561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.69/1.19 % (3585561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.69/1.19 % (3585561)CaDiCaL version: 2.1.3
% 5.69/1.19 % (3585561)Termination reason: Refutation not found, incomplete strategy
% 5.69/1.19 % (3585561)Time elapsed: 0.002 s
% 5.69/1.19 % (3585561)Peak memory usage: 12 MB
% 5.69/1.19 % (3585561)Instructions burned: 1 (million)
% 5.69/1.19 % (3585561)------------------------------
% 5.69/1.19 % (3585561)------------------------------
% 5.69/1.19 % (3585560)Instruction limit reached!
% 5.69/1.19 % (3585560)------------------------------
% 5.69/1.19 % (3585560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.69/1.19 % (3585560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.69/1.19 % (3585560)CaDiCaL version: 2.1.3
% 5.69/1.19 % (3585560)Termination reason: Instruction limit
% 5.69/1.19 % (3585560)Termination phase: Saturation
% 5.69/1.19 % (3585560)Time elapsed: 0.024 s
% 5.69/1.19 % (3585560)Peak memory usage: 12 MB
% 5.69/1.19 % (3585560)Instructions burned: 45 (million)
% 5.69/1.19 % (3585499)Instruction limit reached!
% 5.69/1.19 % (3585499)------------------------------
% 5.69/1.19 % (3585499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.69/1.19 % (3585499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.69/1.19 % (3585499)CaDiCaL version: 2.1.3
% 5.69/1.19 % (3585499)Termination reason: Instruction limit
% 5.69/1.19 % (3585499)Termination phase: Saturation
% 5.69/1.19 % (3585499)Time elapsed: 0.409 s
% 5.69/1.19 % (3585499)Peak memory usage: 12 MB
% 5.69/1.19 % (3585499)Instructions burned: 1242 (million)
% 5.69/1.19 % (3585564)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=881304993:i=450:rtra=on:ixr=off:ntd=on_2993 on theBenchmark for (2993ds/450Mi)
% 5.69/1.19 % (3585569)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=1993932852:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2993 on theBenchmark for (2993ds/5755Mi)
% 5.69/1.19 % (3585568)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=2047239401: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_2993 on theBenchmark for (2993ds/105Mi)
% 5.69/1.19 % (3585569)Refutation not found, incomplete strategy
% 5.69/1.19 % (3585569)------------------------------
% 5.69/1.19 % (3585569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.69/1.19 % (3585569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.69/1.19 % (3585569)CaDiCaL version: 2.1.3
% 5.69/1.19 % (3585569)Termination reason: Refutation not found, incomplete strategy
% 5.69/1.19 % (3585569)Time elapsed: 0.001 s
% 5.69/1.19 % (3585569)Peak memory usage: 12 MB
% 5.69/1.19 % (3585569)------------------------------
% 5.69/1.19 % (3585569)------------------------------
% 5.69/1.19 % (3585566)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=391933817:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/95Mi)
% 5.69/1.19 % (3585567)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=2370212305:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 5.69/1.19 % (3585546)Instruction limit reached!
% 5.69/1.19 % (3585546)------------------------------
% 5.69/1.19 % (3585546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.69/1.19 % (3585546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.69/1.19 % (3585546)CaDiCaL version: 2.1.3
% 5.69/1.19 % (3585546)Termination reason: Instruction limit
% 5.69/1.19 % (3585546)Termination phase: Saturation
% 5.69/1.19 % (3585546)Time elapsed: 0.145 s
% 5.69/1.19 % (3585546)Peak memory usage: 12 MB
% 5.69/1.19 % (3585546)Instructions burned: 181 (million)
% 5.69/1.19 % (3585573)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2983915020:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/375Mi)
% 5.69/1.19 % (3585573)Refutation not found, incomplete strategy
% 6.25/1.32 % (3585573)------------------------------
% 6.25/1.32 % (3585573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.25/1.32 % (3585573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.32 % (3585573)CaDiCaL version: 2.1.3
% 6.25/1.32 % (3585573)Termination reason: Refutation not found, incomplete strategy
% 6.25/1.32 % (3585573)Time elapsed: 0.001 s
% 6.25/1.32 % (3585573)Peak memory usage: 11 MB
% 6.25/1.32 % (3585573)------------------------------
% 6.25/1.32 % (3585573)------------------------------
% 6.25/1.32 % (3585568)Instruction limit reached!
% 6.25/1.32 % (3585568)------------------------------
% 6.25/1.32 % (3585568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.25/1.32 % (3585568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.32 % (3585568)CaDiCaL version: 2.1.3
% 6.25/1.32 % (3585568)Termination reason: Instruction limit
% 6.25/1.32 % (3585568)Termination phase: Saturation
% 6.25/1.32 % (3585568)Time elapsed: 0.050 s
% 6.25/1.32 % (3585568)Peak memory usage: 12 MB
% 6.25/1.32 % (3585568)Instructions burned: 106 (million)
% 6.25/1.32 % (3585576)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=695627855:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/495Mi)
% 6.25/1.32 % (3585567)Instruction limit reached!
% 6.25/1.32 % (3585567)------------------------------
% 6.25/1.32 % (3585567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.25/1.32 % (3585567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.32 % (3585567)CaDiCaL version: 2.1.3
% 6.25/1.32 % (3585567)Termination reason: Instruction limit
% 6.25/1.32 % (3585567)Termination phase: Saturation
% 6.25/1.32 % (3585567)Time elapsed: 0.052 s
% 6.25/1.32 % (3585567)Peak memory usage: 13 MB
% 6.25/1.32 % (3585567)Instructions burned: 66 (million)
% 6.25/1.32 % (3585578)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=3597198061:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 6.25/1.32 % (3585579)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=26516865:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/91Mi)
% 6.25/1.32 % (3585566)Instruction limit reached!
% 6.25/1.32 % (3585566)------------------------------
% 6.25/1.32 % (3585566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.25/1.32 % (3585566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.32 % (3585566)CaDiCaL version: 2.1.3
% 6.25/1.32 % (3585566)Termination reason: Instruction limit
% 6.25/1.32 % (3585566)Termination phase: Saturation
% 6.25/1.32 % (3585566)Time elapsed: 0.073 s
% 6.25/1.32 % (3585566)Peak memory usage: 12 MB
% 6.25/1.32 % (3585566)Instructions burned: 96 (million)
% 6.25/1.32 % (3585581)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3939646825:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2992 on theBenchmark for (2992ds/66Mi)
% 6.25/1.32 % (3585581)Refutation not found, incomplete strategy
% 6.25/1.32 % (3585581)------------------------------
% 6.25/1.32 % (3585581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.25/1.32 % (3585581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.32 % (3585581)CaDiCaL version: 2.1.3
% 6.25/1.32 % (3585581)Termination reason: Refutation not found, incomplete strategy
% 6.25/1.32 % (3585581)Time elapsed: 0.0000 s
% 6.25/1.32 % (3585581)Peak memory usage: 12 MB
% 6.25/1.32 % (3585581)------------------------------
% 6.25/1.32 % (3585581)------------------------------
% 6.25/1.32 % (3585578)Instruction limit reached!
% 6.25/1.32 % (3585578)------------------------------
% 6.25/1.32 % (3585578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.25/1.32 % (3585578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.25/1.32 % (3585578)CaDiCaL version: 2.1.3
% 6.25/1.32 % (3585578)Termination reason: Instruction limit
% 6.25/1.32 % (3585578)Termination phase: Saturation
% 6.25/1.32 % (3585578)Time elapsed: 0.031 s
% 6.25/1.32 % (3585578)Peak memory usage: 12 MB
% 6.25/1.32 % (3585578)Instructions burned: 35 (million)
% 6.25/1.32 % (3585586)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=987638936:i=338:bd=all:ins=4:rtra=on_2992 on theBenchmark for (2992ds/338Mi)
% 6.69/1.43 % (3585584)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=772169557:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2992 on theBenchmark for (2992ds/22Mi)
% 6.69/1.43 % (3585584)Instruction limit reached!
% 6.69/1.43 % (3585584)------------------------------
% 6.69/1.43 % (3585584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.69/1.43 % (3585584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.43 % (3585584)CaDiCaL version: 2.1.3
% 6.69/1.43 % (3585584)Termination reason: Instruction limit
% 6.69/1.43 % (3585584)Termination phase: Saturation
% 6.69/1.43 % (3585584)Time elapsed: 0.018 s
% 6.69/1.43 % (3585584)Peak memory usage: 12 MB
% 6.69/1.43 % (3585584)Instructions burned: 22 (million)
% 6.69/1.43 % (3585587)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1534027740:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/28Mi)
% 6.69/1.43 % (3585587)Refutation not found, incomplete strategy
% 6.69/1.43 % (3585587)------------------------------
% 6.69/1.43 % (3585587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.69/1.43 % (3585587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.43 % (3585587)CaDiCaL version: 2.1.3
% 6.69/1.43 % (3585587)Termination reason: Refutation not found, incomplete strategy
% 6.69/1.43 % (3585587)Time elapsed: 0.001 s
% 6.69/1.43 % (3585587)Peak memory usage: 11 MB
% 6.69/1.43 % (3585579)Instruction limit reached!
% 6.69/1.43 % (3585579)------------------------------
% 6.69/1.43 % (3585579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.69/1.43 % (3585579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.43 % (3585579)CaDiCaL version: 2.1.3
% 6.69/1.43 % (3585579)Termination reason: Instruction limit
% 6.69/1.43 % (3585579)Termination phase: Saturation
% 6.69/1.43 % (3585579)Time elapsed: 0.061 s
% 6.69/1.43 % (3585579)Peak memory usage: 12 MB
% 6.69/1.43 % (3585579)Instructions burned: 92 (million)
% 6.69/1.43 % (3585587)------------------------------
% 6.69/1.43 % (3585587)------------------------------
% 6.69/1.43 % (3585590)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.69/1.43 % (3585590)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2744417631:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2992 on theBenchmark for (2992ds/137Mi)
% 6.69/1.43 % (3585592)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=3578207090:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/340Mi)
% 6.69/1.43 % (3585593)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=508387336:i=227:sd=1:bd=all:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/227Mi)
% 6.69/1.43 % (3585593)Refutation not found, incomplete strategy
% 6.69/1.43 % (3585593)------------------------------
% 6.69/1.43 % (3585593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.69/1.43 % (3585593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.43 % (3585593)CaDiCaL version: 2.1.3
% 6.69/1.43 % (3585593)Termination reason: Refutation not found, incomplete strategy
% 6.69/1.43 % (3585593)Time elapsed: 0.001 s
% 6.69/1.43 % (3585593)Peak memory usage: 11 MB
% 6.69/1.43 % (3585593)------------------------------
% 6.69/1.43 % (3585593)------------------------------
% 6.69/1.43 % (3585597)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 6.69/1.43 % (3585597)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=693234447:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/373Mi)
% 6.69/1.43 % (3585522)Instruction limit reached!
% 6.69/1.43 % (3585522)------------------------------
% 6.69/1.43 % (3585522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.69/1.43 % (3585522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.43 % (3585522)CaDiCaL version: 2.1.3
% 6.69/1.43 % (3585522)Termination reason: Instruction limit
% 6.69/1.43 % (3585522)Termination phase: Saturation
% 6.69/1.43 % (3585522)Time elapsed: 0.512 s
% 6.69/1.43 % (3585522)Peak memory usage: 13 MB
% 6.69/1.49 % (3585522)Instructions burned: 854 (million)
% 6.69/1.49 % (3585599)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=932380495:i=116:ep=RSTC:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/116Mi)
% 6.69/1.49 % (3585586)Instruction limit reached!
% 6.69/1.49 % (3585586)------------------------------
% 6.69/1.49 % (3585586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.69/1.49 % (3585586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.49 % (3585586)CaDiCaL version: 2.1.3
% 6.69/1.49 % (3585586)Termination reason: Instruction limit
% 6.69/1.49 % (3585586)Termination phase: Saturation
% 6.69/1.49 % (3585586)Time elapsed: 0.145 s
% 6.69/1.49 % (3585586)Peak memory usage: 14 MB
% 6.69/1.49 % (3585586)Instructions burned: 340 (million)
% 6.69/1.49 % (3585590)Instruction limit reached!
% 6.69/1.49 % (3585590)------------------------------
% 6.69/1.49 % (3585590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.69/1.49 % (3585590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.49 % (3585590)CaDiCaL version: 2.1.3
% 6.69/1.49 % (3585590)Termination reason: Instruction limit
% 6.69/1.49 % (3585590)Termination phase: Saturation
% 6.69/1.49 % (3585590)Time elapsed: 0.102 s
% 6.69/1.49 % (3585590)Peak memory usage: 12 MB
% 6.69/1.49 % (3585590)Instructions burned: 138 (million)
% 6.69/1.49 % (3585564)Instruction limit reached!
% 6.69/1.49 % (3585564)------------------------------
% 6.69/1.49 % (3585564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.69/1.49 % (3585564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.49 % (3585564)CaDiCaL version: 2.1.3
% 6.69/1.49 % (3585564)Termination reason: Instruction limit
% 6.69/1.49 % (3585564)Termination phase: Saturation
% 6.69/1.49 % (3585564)Time elapsed: 0.262 s
% 6.69/1.49 % (3585564)Peak memory usage: 12 MB
% 6.69/1.49 % (3585564)Instructions burned: 451 (million)
% 6.69/1.49 % (3585601)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=316089925:i=575:rtra=on_2990 on theBenchmark for (2990ds/575Mi)
% 6.69/1.49 % (3585601)Refutation not found, incomplete strategy
% 6.69/1.49 % (3585601)------------------------------
% 6.69/1.49 % (3585601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.69/1.49 % (3585601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.49 % (3585601)CaDiCaL version: 2.1.3
% 6.69/1.49 % (3585601)Termination reason: Refutation not found, incomplete strategy
% 6.69/1.49 % (3585601)Time elapsed: 0.002 s
% 6.69/1.49 % (3585601)Peak memory usage: 11 MB
% 6.69/1.49 % (3585601)Instructions burned: 1 (million)
% 6.69/1.49 % (3585601)------------------------------
% 6.69/1.49 % (3585601)------------------------------
% 6.69/1.49 % (3585602)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3855922929:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2990 on theBenchmark for (2990ds/270Mi)
% 6.69/1.49 % (3585603)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=75877754: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_2990 on theBenchmark for (2990ds/9840Mi)
% 6.69/1.49 % (3585606)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3445285062:i=421:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/421Mi)
% 6.69/1.49 % (3585606)Refutation not found, incomplete strategy
% 6.69/1.49 % (3585606)------------------------------
% 6.69/1.49 % (3585606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.69/1.49 % (3585606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.49 % (3585606)CaDiCaL version: 2.1.3
% 6.69/1.49 % (3585606)Termination reason: Refutation not found, incomplete strategy
% 6.69/1.49 % (3585606)Time elapsed: 0.001 s
% 6.69/1.49 % (3585606)Peak memory usage: 11 MB
% 6.69/1.49 % (3585606)------------------------------
% 6.69/1.49 % (3585606)------------------------------
% 6.69/1.49 % (3585599)Instruction limit reached!
% 6.69/1.49 % (3585599)------------------------------
% 6.69/1.49 % (3585599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.69/1.49 % (3585599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.69/1.49 % (3585599)CaDiCaL version: 2.1.3
% 8.04/1.53 % (3585599)Termination reason: Instruction limit
% 8.04/1.53 % (3585599)Termination phase: Saturation
% 8.04/1.53 % (3585599)Time elapsed: 0.087 s
% 8.04/1.53 % (3585599)Peak memory usage: 12 MB
% 8.04/1.53 % (3585599)Instructions burned: 116 (million)
% 8.04/1.53 % (3585609)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
% 8.04/1.53 % (3585609)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=636399366:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/270Mi)
% 8.04/1.53 % (3585610)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1296631188:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/31Mi)
% 8.04/1.53 % (3585610)Instruction limit reached!
% 8.04/1.53 % (3585610)------------------------------
% 8.04/1.53 % (3585610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/1.53 % (3585610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.53 % (3585610)CaDiCaL version: 2.1.3
% 8.04/1.53 % (3585610)Termination reason: Instruction limit
% 8.04/1.53 % (3585610)Termination phase: Saturation
% 8.04/1.53 % (3585610)Time elapsed: 0.027 s
% 8.04/1.53 % (3585610)Peak memory usage: 12 MB
% 8.04/1.53 % (3585610)Instructions burned: 31 (million)
% 8.04/1.53 % (3585597)Instruction limit reached!
% 8.04/1.53 % (3585597)------------------------------
% 8.04/1.53 % (3585597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/1.53 % (3585597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.53 % (3585597)CaDiCaL version: 2.1.3
% 8.04/1.53 % (3585597)Termination reason: Instruction limit
% 8.04/1.53 % (3585597)Termination phase: Saturation
% 8.04/1.53 % (3585597)Time elapsed: 0.212 s
% 8.04/1.53 % (3585597)Peak memory usage: 13 MB
% 8.04/1.53 % (3585597)Instructions burned: 375 (million)
% 8.04/1.53 % (3585613)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 8.04/1.53 % (3585613)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
% 8.04/1.53 % (3585613)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=3168467974:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2989 on theBenchmark for (2989ds/1440Mi)
% 8.04/1.53 % (3585576)Instruction limit reached!
% 8.04/1.53 % (3585576)------------------------------
% 8.04/1.53 % (3585576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/1.53 % (3585576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.53 % (3585576)CaDiCaL version: 2.1.3
% 8.04/1.53 % (3585576)Termination reason: Instruction limit
% 8.04/1.53 % (3585576)Termination phase: Saturation
% 8.04/1.53 % (3585576)Time elapsed: 0.365 s
% 8.04/1.53 % (3585576)Peak memory usage: 13 MB
% 8.04/1.53 % (3585576)Instructions burned: 495 (million)
% 8.04/1.53 % (3585592)Instruction limit reached!
% 8.04/1.53 % (3585592)------------------------------
% 8.04/1.53 % (3585592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/1.53 % (3585592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.53 % (3585592)CaDiCaL version: 2.1.3
% 8.04/1.53 % (3585592)Termination reason: Instruction limit
% 8.04/1.53 % (3585592)Termination phase: Saturation
% 8.04/1.53 % (3585592)Time elapsed: 0.263 s
% 8.04/1.53 % (3585592)Peak memory usage: 13 MB
% 8.04/1.53 % (3585592)Instructions burned: 341 (million)
% 8.04/1.53 % (3585614)dis+10_2_sil=128000:si=on:random_seed=1091762088:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2989 on theBenchmark for (2989ds/339Mi)
% 8.04/1.53 % (3585614)Refutation not found, incomplete strategy
% 8.04/1.53 % (3585614)------------------------------
% 8.04/1.53 % (3585614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.04/1.53 % (3585614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.04/1.53 % (3585614)CaDiCaL version: 2.1.3
% 8.04/1.53 % (3585614)Termination reason: Refutation not found, incomplete strategy
% 8.04/1.53 % (3585614)Time elapsed: 0.001 s
% 8.24/1.67 % (3585614)Peak memory usage: 11 MB
% 8.24/1.67 % (3585614)------------------------------
% 8.24/1.67 % (3585614)------------------------------
% 8.24/1.67 % (3585616)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=2007538904:i=111:add=on:fgj=on:rtra=on:fdi=1024_2989 on theBenchmark for (2989ds/111Mi)
% 8.24/1.67 % (3585609)Instruction limit reached!
% 8.24/1.67 % (3585609)------------------------------
% 8.24/1.67 % (3585609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/1.67 % (3585609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/1.67 % (3585609)CaDiCaL version: 2.1.3
% 8.24/1.67 % (3585609)Termination reason: Instruction limit
% 8.24/1.67 % (3585609)Termination phase: Saturation
% 8.24/1.67 % (3585609)Time elapsed: 0.117 s
% 8.24/1.67 % (3585609)Peak memory usage: 12 MB
% 8.24/1.67 % (3585609)Instructions burned: 272 (million)
% 8.24/1.67 % (3585617)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=3199231681:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2989 on theBenchmark for (2989ds/122Mi)
% 8.24/1.67 % (3585617)Refutation not found, incomplete strategy
% 8.24/1.67 % (3585617)------------------------------
% 8.24/1.67 % (3585617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/1.67 % (3585617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/1.67 % (3585617)CaDiCaL version: 2.1.3
% 8.24/1.67 % (3585617)Termination reason: Refutation not found, incomplete strategy
% 8.24/1.67 % (3585617)Time elapsed: 0.001 s
% 8.24/1.67 % (3585617)Peak memory usage: 11 MB
% 8.24/1.67 % (3585617)------------------------------
% 8.24/1.67 % (3585617)------------------------------
% 8.24/1.67 % (3585619)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=3009042356:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/136Mi)
% 8.24/1.67 % (3585619)Refutation not found, incomplete strategy
% 8.24/1.67 % (3585619)------------------------------
% 8.24/1.67 % (3585619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/1.67 % (3585619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/1.67 % (3585619)CaDiCaL version: 2.1.3
% 8.24/1.67 % (3585619)Termination reason: Refutation not found, incomplete strategy
% 8.24/1.67 % (3585619)Time elapsed: 0.002 s
% 8.24/1.67 % (3585619)Peak memory usage: 11 MB
% 8.24/1.67 % (3585619)Instructions burned: 1 (million)
% 8.24/1.67 % (3585621)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2704178738:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/232Mi)
% 8.24/1.67 % (3585619)------------------------------
% 8.24/1.67 % (3585619)------------------------------
% 8.24/1.67 % (3585621)Refutation not found, incomplete strategy
% 8.24/1.67 % (3585621)------------------------------
% 8.24/1.67 % (3585621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/1.67 % (3585621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/1.67 % (3585621)CaDiCaL version: 2.1.3
% 8.24/1.67 % (3585621)Termination reason: Refutation not found, incomplete strategy
% 8.24/1.67 % (3585621)Time elapsed: 0.001 s
% 8.24/1.67 % (3585621)Peak memory usage: 11 MB
% 8.24/1.67 % (3585621)------------------------------
% 8.24/1.67 % (3585621)------------------------------
% 8.24/1.67 % (3585616)Instruction limit reached!
% 8.24/1.67 % (3585616)------------------------------
% 8.24/1.67 % (3585616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.24/1.67 % (3585616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.24/1.67 % (3585616)CaDiCaL version: 2.1.3
% 8.24/1.67 % (3585616)Termination reason: Instruction limit
% 8.24/1.67 % (3585616)Termination phase: Saturation
% 8.24/1.67 % (3585616)Time elapsed: 0.048 s
% 8.24/1.67 % (3585616)Peak memory usage: 12 MB
% 8.24/1.67 % (3585616)Instructions burned: 112 (million)
% 8.24/1.67 % (3585623)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=2907869141:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2988 on theBenchmark for (2988ds/1254Mi)
% 8.24/1.67 % (3585627)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2810609733:i=619:add=on:rtra=on_2988 on theBenchmark for (2988ds/619Mi)
% 9.10/1.81 % (3585602)Instruction limit reached!
% 9.10/1.81 % (3585602)------------------------------
% 9.10/1.81 % (3585602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.10/1.81 % (3585602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/1.81 % (3585602)CaDiCaL version: 2.1.3
% 9.10/1.81 % (3585602)Termination reason: Instruction limit
% 9.10/1.81 % (3585602)Termination phase: Saturation
% 9.10/1.81 % (3585602)Time elapsed: 0.216 s
% 9.10/1.81 % (3585602)Peak memory usage: 12 MB
% 9.10/1.81 % (3585602)Instructions burned: 271 (million)
% 9.10/1.81 % (3585627)Refutation not found, incomplete strategy
% 9.10/1.81 % (3585627)------------------------------
% 9.10/1.81 % (3585627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.10/1.81 % (3585627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/1.81 % (3585627)CaDiCaL version: 2.1.3
% 9.10/1.81 % (3585627)Termination reason: Refutation not found, incomplete strategy
% 9.10/1.81 % (3585627)Time elapsed: 0.002 s
% 9.10/1.81 % (3585627)Peak memory usage: 12 MB
% 9.10/1.81 % (3585627)Instructions burned: 2 (million)
% 9.10/1.81 % (3585623)Refutation not found, incomplete strategy
% 9.10/1.81 % (3585623)------------------------------
% 9.10/1.81 % (3585623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.10/1.81 % (3585623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/1.81 % (3585623)CaDiCaL version: 2.1.3
% 9.10/1.81 % (3585623)Termination reason: Refutation not found, incomplete strategy
% 9.10/1.81 % (3585623)Time elapsed: 0.003 s
% 9.10/1.81 % (3585623)Peak memory usage: 12 MB
% 9.10/1.81 % (3585623)Instructions burned: 3 (million)
% 9.10/1.81 % (3585627)------------------------------
% 9.10/1.81 % (3585627)------------------------------
% 9.10/1.81 % (3585626)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 9.10/1.81 % (3585623)------------------------------
% 9.10/1.81 % (3585623)------------------------------
% 9.10/1.81 % (3585626)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=6667376:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2988 on theBenchmark for (2988ds/281Mi)
% 9.10/1.81 % (3585628)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=1789747091:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/865Mi)
% 9.10/1.81 % (3585632)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=1645866206:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/130Mi)
% 9.10/1.81 % (3585632)Refutation not found, incomplete strategy
% 9.10/1.81 % (3585632)------------------------------
% 9.10/1.81 % (3585632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.10/1.81 % (3585632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/1.81 % (3585632)CaDiCaL version: 2.1.3
% 9.10/1.81 % (3585632)Termination reason: Refutation not found, incomplete strategy
% 9.10/1.81 % (3585632)Time elapsed: 0.001 s
% 9.10/1.81 % (3585632)Peak memory usage: 11 MB
% 9.10/1.81 % (3585632)------------------------------
% 9.10/1.81 % (3585632)------------------------------
% 9.10/1.81 % (3585631)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2949689049:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2988 on theBenchmark for (2988ds/212Mi)
% 9.10/1.81 % (3585631)Refutation not found, incomplete strategy
% 9.10/1.81 % (3585631)------------------------------
% 9.10/1.81 % (3585631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.10/1.81 % (3585631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.10/1.81 % (3585631)CaDiCaL version: 2.1.3
% 9.10/1.81 % (3585631)Termination reason: Refutation not found, incomplete strategy
% 9.10/1.81 % (3585631)Time elapsed: 0.001 s
% 9.10/1.81 % (3585631)Peak memory usage: 11 MB
% 9.10/1.81 % (3585633)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2331020258:st=1.5:i=346:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/346Mi)
% 9.10/1.81 % (3585631)------------------------------
% 9.10/1.81 % (3585631)------------------------------
% 9.10/1.81 % (3585633)Refutation not found, incomplete strategy
% 9.10/1.81 % (3585633)------------------------------
% 9.10/1.81 % (3585633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.87/2.17 % (3585633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.17 % (3585633)CaDiCaL version: 2.1.3
% 12.87/2.17 % (3585633)Termination reason: Refutation not found, incomplete strategy
% 12.87/2.17 % (3585633)Time elapsed: 0.002 s
% 12.87/2.17 % (3585633)Peak memory usage: 11 MB
% 12.87/2.17 % (3585633)Instructions burned: 1 (million)
% 12.87/2.17 % (3585633)------------------------------
% 12.87/2.17 % (3585633)------------------------------
% 12.87/2.17 % (3585637)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=2701494501:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2988 on theBenchmark for (2988ds/152Mi)
% 12.87/2.17 % (3585641)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=1519325703:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/387Mi)
% 12.87/2.17 % (3585641)Refutation not found, incomplete strategy
% 12.87/2.17 % (3585641)------------------------------
% 12.87/2.17 % (3585641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.87/2.17 % (3585641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.17 % (3585641)CaDiCaL version: 2.1.3
% 12.87/2.17 % (3585641)Termination reason: Refutation not found, incomplete strategy
% 12.87/2.17 % (3585641)Time elapsed: 0.001 s
% 12.87/2.17 % (3585641)Peak memory usage: 11 MB
% 12.87/2.17 % (3585641)Instructions burned: 1 (million)
% 12.87/2.17 % (3585641)------------------------------
% 12.87/2.17 % (3585641)------------------------------
% 12.87/2.17 % (3585640)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3805161110:i=75:ep=R:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/75Mi)
% 12.87/2.17 % (3585644)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=4258960832:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2987 on theBenchmark for (2987ds/148Mi)
% 12.87/2.17 % (3585637)Instruction limit reached!
% 12.87/2.17 % (3585637)------------------------------
% 12.87/2.17 % (3585637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.87/2.17 % (3585637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.17 % (3585637)CaDiCaL version: 2.1.3
% 12.87/2.17 % (3585637)Termination reason: Instruction limit
% 12.87/2.17 % (3585637)Termination phase: Saturation
% 12.87/2.17 % (3585637)Time elapsed: 0.066 s
% 12.87/2.17 % (3585637)Peak memory usage: 12 MB
% 12.87/2.17 % (3585637)Instructions burned: 152 (million)
% 12.87/2.17 % (3585640)Instruction limit reached!
% 12.87/2.17 % (3585640)------------------------------
% 12.87/2.17 % (3585640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.87/2.17 % (3585640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.17 % (3585640)CaDiCaL version: 2.1.3
% 12.87/2.17 % (3585640)Termination reason: Instruction limit
% 12.87/2.17 % (3585640)Termination phase: Saturation
% 12.87/2.17 % (3585640)Time elapsed: 0.057 s
% 12.87/2.17 % (3585640)Peak memory usage: 12 MB
% 12.87/2.17 % (3585640)Instructions burned: 75 (million)
% 12.87/2.17 % (3585647)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=2250995130:i=161:piset=and:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/161Mi)
% 12.87/2.17 % (3585648)lrs+10_1_sil=128000:si=on:random_seed=2422567552:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/888Mi)
% 12.87/2.17 % (3585648)Refutation not found, incomplete strategy
% 12.87/2.17 % (3585648)------------------------------
% 12.87/2.17 % (3585648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.87/2.17 % (3585648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.87/2.17 % (3585648)CaDiCaL version: 2.1.3
% 12.87/2.17 % (3585648)Termination reason: Refutation not found, incomplete strategy
% 12.87/2.17 % (3585648)Time elapsed: 0.001 s
% 12.87/2.17 % (3585648)Peak memory usage: 12 MB
% 12.87/2.17 % (3585648)------------------------------
% 12.87/2.17 % (3585648)------------------------------
% 12.87/2.17 % (3585651)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=1801097501:i=136:add=on:ins=4:rtra=on:sup=off_2986 on theBenchmark for (2986ds/136Mi)
% 12.87/2.17 % (3585647)Instruction limit reached!
% 12.87/2.17 % (3585647)------------------------------
% 12.87/2.17 % (3585647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.39 % (3585647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.39 % (3585647)CaDiCaL version: 2.1.3
% 13.69/2.39 % (3585647)Termination reason: Instruction limit
% 13.69/2.39 % (3585647)Termination phase: Saturation
% 13.69/2.39 % (3585647)Time elapsed: 0.051 s
% 13.69/2.39 % (3585647)Peak memory usage: 12 MB
% 13.69/2.39 % (3585647)Instructions burned: 163 (million)
% 13.69/2.39 % (3585644)Instruction limit reached!
% 13.69/2.39 % (3585644)------------------------------
% 13.69/2.39 % (3585644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.39 % (3585644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.39 % (3585644)CaDiCaL version: 2.1.3
% 13.69/2.39 % (3585644)Termination reason: Instruction limit
% 13.69/2.39 % (3585644)Termination phase: Saturation
% 13.69/2.39 % (3585644)Time elapsed: 0.102 s
% 13.69/2.39 % (3585644)Peak memory usage: 12 MB
% 13.69/2.39 % (3585644)Instructions burned: 149 (million)
% 13.69/2.39 % (3585653)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=3124926321:i=88:s2at=3:nm=2:rtra=on:rawr=on_2986 on theBenchmark for (2986ds/88Mi)
% 13.69/2.39 % (3585654)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3007208331:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2986 on theBenchmark for (2986ds/93Mi)
% 13.69/2.39 % (3585653)Instruction limit reached!
% 13.69/2.39 % (3585653)------------------------------
% 13.69/2.39 % (3585653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.39 % (3585653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.39 % (3585653)CaDiCaL version: 2.1.3
% 13.69/2.39 % (3585653)Termination reason: Instruction limit
% 13.69/2.39 % (3585653)Termination phase: Saturation
% 13.69/2.39 % (3585653)Time elapsed: 0.036 s
% 13.69/2.39 % (3585653)Peak memory usage: 12 MB
% 13.69/2.39 % (3585653)Instructions burned: 89 (million)
% 13.69/2.39 % (3585626)Instruction limit reached!
% 13.69/2.39 % (3585626)------------------------------
% 13.69/2.39 % (3585626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.39 % (3585626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.39 % (3585626)CaDiCaL version: 2.1.3
% 13.69/2.39 % (3585626)Termination reason: Instruction limit
% 13.69/2.39 % (3585626)Termination phase: Saturation
% 13.69/2.39 % (3585626)Time elapsed: 0.242 s
% 13.69/2.39 % (3585626)Peak memory usage: 13 MB
% 13.69/2.39 % (3585626)Instructions burned: 282 (million)
% 13.69/2.39 % (3585657)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3304413045:i=2186:rtra=on:ixr=off_2985 on theBenchmark for (2985ds/2186Mi)
% 13.69/2.39 % (3585651)Instruction limit reached!
% 13.69/2.39 % (3585651)------------------------------
% 13.69/2.39 % (3585651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.39 % (3585651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.39 % (3585651)CaDiCaL version: 2.1.3
% 13.69/2.39 % (3585651)Termination reason: Instruction limit
% 13.69/2.39 % (3585651)Termination phase: Saturation
% 13.69/2.39 % (3585651)Time elapsed: 0.098 s
% 13.69/2.39 % (3585651)Peak memory usage: 12 MB
% 13.69/2.39 % (3585651)Instructions burned: 136 (million)
% 13.69/2.39 % (3585658)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1354714143:s2a=on:i=240:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/240Mi)
% 13.69/2.39 % (3585654)Instruction limit reached!
% 13.69/2.39 % (3585654)------------------------------
% 13.69/2.39 % (3585654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.69/2.39 % (3585654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.69/2.39 % (3585654)CaDiCaL version: 2.1.3
% 13.69/2.39 % (3585654)Termination reason: Instruction limit
% 13.69/2.39 % (3585654)Termination phase: Saturation
% 13.69/2.39 % (3585654)Time elapsed: 0.079 s
% 13.69/2.39 % (3585654)Peak memory usage: 12 MB
% 13.69/2.39 % (3585654)Instructions burned: 93 (million)
% 13.69/2.39 % (3585660)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=3293542315:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2985 on theBenchmark for (2985ds/805Mi)
% 13.69/2.39 % (3585662)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 13.69/2.39 % (3585662)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=1306265012:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2985 on theBenchmark for (2985ds/391Mi)
% 14.50/2.57 % (3585662)Refutation not found, incomplete strategy
% 14.50/2.57 % (3585662)------------------------------
% 14.50/2.57 % (3585662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.50/2.57 % (3585662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/2.57 % (3585662)CaDiCaL version: 2.1.3
% 14.50/2.57 % (3585662)Termination reason: Refutation not found, incomplete strategy
% 14.50/2.57 % (3585662)Time elapsed: 0.002 s
% 14.50/2.57 % (3585662)Peak memory usage: 11 MB
% 14.50/2.57 % (3585662)Instructions burned: 1 (million)
% 14.50/2.57 % (3585662)------------------------------
% 14.50/2.57 % (3585662)------------------------------
% 14.50/2.57 % (3585665)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=3041057834:i=355:av=off:fsr=off:rtra=on:ixr=off_2985 on theBenchmark for (2985ds/355Mi)
% 14.50/2.57 % (3585658)Instruction limit reached!
% 14.50/2.57 % (3585658)------------------------------
% 14.50/2.57 % (3585658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.50/2.57 % (3585658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/2.57 % (3585658)CaDiCaL version: 2.1.3
% 14.50/2.57 % (3585658)Termination reason: Instruction limit
% 14.50/2.57 % (3585658)Termination phase: Saturation
% 14.50/2.57 % (3585658)Time elapsed: 0.159 s
% 14.50/2.57 % (3585658)Peak memory usage: 12 MB
% 14.50/2.57 % (3585658)Instructions burned: 240 (million)
% 14.50/2.57 % (3585667)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=3787118239:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/314Mi)
% 14.50/2.57 % (3585667)Refutation not found, incomplete strategy
% 14.50/2.57 % (3585667)------------------------------
% 14.50/2.57 % (3585667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.50/2.57 % (3585667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/2.57 % (3585667)CaDiCaL version: 2.1.3
% 14.50/2.57 % (3585667)Termination reason: Refutation not found, incomplete strategy
% 14.50/2.57 % (3585667)Time elapsed: 0.001 s
% 14.50/2.57 % (3585667)Peak memory usage: 11 MB
% 14.50/2.57 % (3585667)------------------------------
% 14.50/2.57 % (3585667)------------------------------
% 14.50/2.57 % (3585669)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=1668651119:s2a=on:i=251:fsr=off:rtra=on_2983 on theBenchmark for (2983ds/251Mi)
% 14.50/2.57 % (3585665)Instruction limit reached!
% 14.50/2.57 % (3585665)------------------------------
% 14.50/2.57 % (3585665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.50/2.57 % (3585665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/2.57 % (3585665)CaDiCaL version: 2.1.3
% 14.50/2.57 % (3585665)Termination reason: Instruction limit
% 14.50/2.57 % (3585665)Termination phase: Saturation
% 14.50/2.57 % (3585665)Time elapsed: 0.241 s
% 14.50/2.57 % (3585665)Peak memory usage: 12 MB
% 14.50/2.57 % (3585665)Instructions burned: 355 (million)
% 14.50/2.57 % (3585671)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=526148758: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_2982 on theBenchmark for (2982ds/2470Mi)
% 14.50/2.57 % (3585669)Instruction limit reached!
% 14.50/2.57 % (3585669)------------------------------
% 14.50/2.57 % (3585669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.50/2.57 % (3585669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/2.57 % (3585669)CaDiCaL version: 2.1.3
% 14.50/2.57 % (3585669)Termination reason: Instruction limit
% 14.50/2.57 % (3585669)Termination phase: Saturation
% 14.50/2.57 % (3585669)Time elapsed: 0.184 s
% 14.50/2.57 % (3585669)Peak memory usage: 12 MB
% 14.50/2.57 % (3585669)Instructions burned: 251 (million)
% 14.50/2.57 % (3585628)Instruction limit reached!
% 14.50/2.57 % (3585628)------------------------------
% 14.50/2.57 % (3585628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.50/2.57 % (3585628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.50/2.57 % (3585628)CaDiCaL version: 2.1.3
% 14.82/2.67 % (3585628)Termination reason: Instruction limit
% 14.82/2.67 % (3585628)Termination phase: Saturation
% 14.82/2.67 % (3585628)Time elapsed: 0.653 s
% 14.82/2.67 % (3585628)Peak memory usage: 15 MB
% 14.82/2.67 % (3585628)Instructions burned: 866 (million)
% 14.82/2.67 % (3585673)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=4070996113:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2981 on theBenchmark for (2981ds/673Mi)
% 14.82/2.67 % (3585674)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2313941936:i=116:ep=RSTC:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/116Mi)
% 14.82/2.67 % (3585674)Instruction limit reached!
% 14.82/2.67 % (3585674)------------------------------
% 14.82/2.67 % (3585674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.82/2.67 % (3585674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.82/2.67 % (3585674)CaDiCaL version: 2.1.3
% 14.82/2.67 % (3585674)Termination reason: Instruction limit
% 14.82/2.67 % (3585674)Termination phase: Saturation
% 14.82/2.67 % (3585674)Time elapsed: 0.079 s
% 14.82/2.67 % (3585674)Peak memory usage: 12 MB
% 14.82/2.67 % (3585674)Instructions burned: 117 (million)
% 14.82/2.67 % (3585613)Instruction limit reached!
% 14.82/2.67 % (3585613)------------------------------
% 14.82/2.67 % (3585613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.82/2.67 % (3585613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.82/2.67 % (3585613)CaDiCaL version: 2.1.3
% 14.82/2.67 % (3585613)Termination reason: Instruction limit
% 14.82/2.67 % (3585613)Termination phase: Saturation
% 14.82/2.67 % (3585613)Time elapsed: 0.871 s
% 14.82/2.67 % (3585613)Peak memory usage: 13 MB
% 14.82/2.67 % (3585613)Instructions burned: 1440 (million)
% 14.82/2.67 % (3585677)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=4195812995:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2980 on theBenchmark for (2980ds/270Mi)
% 14.82/2.67 % (3585678)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=3430630483: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_2980 on theBenchmark for (2980ds/30Mi)
% 14.82/2.67 % (3585678)Instruction limit reached!
% 14.82/2.67 % (3585678)------------------------------
% 14.82/2.67 % (3585678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.82/2.67 % (3585678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.82/2.67 % (3585678)CaDiCaL version: 2.1.3
% 14.82/2.67 % (3585678)Termination reason: Instruction limit
% 14.82/2.67 % (3585678)Termination phase: Saturation
% 14.82/2.67 % (3585678)Time elapsed: 0.027 s
% 14.82/2.67 % (3585678)Peak memory usage: 12 MB
% 14.82/2.67 % (3585678)Instructions burned: 30 (million)
% 14.82/2.67 % (3585660)Instruction limit reached!
% 14.82/2.67 % (3585660)------------------------------
% 14.82/2.67 % (3585660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.82/2.67 % (3585660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.82/2.67 % (3585660)CaDiCaL version: 2.1.3
% 14.82/2.67 % (3585660)Termination reason: Instruction limit
% 14.82/2.67 % (3585660)Termination phase: Saturation
% 14.82/2.67 % (3585660)Time elapsed: 0.577 s
% 14.82/2.67 % (3585660)Peak memory usage: 13 MB
% 14.82/2.67 % (3585660)Instructions burned: 805 (million)
% 14.82/2.67 % (3585681)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 14.82/2.67 % (3585681)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3528997523:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2979 on theBenchmark for (2979ds/39Mi)
% 14.82/2.67 % (3585682)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1500740108:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2979 on theBenchmark for (2979ds/365Mi)
% 14.82/2.67 % (3585681)Instruction limit reached!
% 14.82/2.67 % (3585681)------------------------------
% 14.82/2.67 % (3585681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.82/2.67 % (3585681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.82/2.67 % (3585681)CaDiCaL version: 2.1.3
% 14.82/2.67 % (3585681)Termination reason: Instruction limit
% 16.21/2.88 % (3585681)Termination phase: Saturation
% 16.21/2.88 % (3585681)Time elapsed: 0.022 s
% 16.21/2.88 % (3585681)Peak memory usage: 12 MB
% 16.21/2.88 % (3585681)Instructions burned: 39 (million)
% 16.21/2.88 % (3585685)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=753987620:i=158:av=off:rtra=on_2979 on theBenchmark for (2979ds/158Mi)
% 16.21/2.88 % (3585657)Instruction limit reached!
% 16.21/2.88 % (3585657)------------------------------
% 16.21/2.88 % (3585657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.21/2.88 % (3585657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.21/2.88 % (3585657)CaDiCaL version: 2.1.3
% 16.21/2.88 % (3585657)Termination reason: Instruction limit
% 16.21/2.88 % (3585657)Termination phase: Saturation
% 16.21/2.88 % (3585657)Time elapsed: 0.732 s
% 16.21/2.88 % (3585657)Peak memory usage: 13 MB
% 16.21/2.88 % (3585657)Instructions burned: 2189 (million)
% 16.21/2.88 % (3585687)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 16.21/2.88 % (3585687)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=3890967465:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/252Mi)
% 16.21/2.88 % (3585677)Instruction limit reached!
% 16.21/2.88 % (3585677)------------------------------
% 16.21/2.88 % (3585677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.21/2.88 % (3585677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.21/2.88 % (3585677)CaDiCaL version: 2.1.3
% 16.21/2.88 % (3585677)Termination reason: Instruction limit
% 16.21/2.88 % (3585677)Termination phase: Saturation
% 16.21/2.88 % (3585677)Time elapsed: 0.211 s
% 16.21/2.88 % (3585677)Peak memory usage: 12 MB
% 16.21/2.88 % (3585677)Instructions burned: 271 (million)
% 16.21/2.88 % (3585689)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=781579511:i=213:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/213Mi)
% 16.21/2.88 % (3585689)Refutation not found, incomplete strategy
% 16.21/2.88 % (3585689)------------------------------
% 16.21/2.88 % (3585689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.21/2.88 % (3585689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.21/2.88 % (3585689)CaDiCaL version: 2.1.3
% 16.21/2.88 % (3585689)Termination reason: Refutation not found, incomplete strategy
% 16.21/2.88 % (3585689)Time elapsed: 0.001 s
% 16.21/2.88 % (3585689)Peak memory usage: 11 MB
% 16.21/2.88 % (3585689)------------------------------
% 16.21/2.88 % (3585689)------------------------------
% 16.21/2.88 % (3585685)Instruction limit reached!
% 16.21/2.88 % (3585685)------------------------------
% 16.21/2.88 % (3585685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.21/2.88 % (3585685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.21/2.88 % (3585685)CaDiCaL version: 2.1.3
% 16.21/2.88 % (3585685)Termination reason: Instruction limit
% 16.21/2.88 % (3585685)Termination phase: Saturation
% 16.21/2.88 % (3585685)Time elapsed: 0.117 s
% 16.21/2.88 % (3585685)Peak memory usage: 12 MB
% 16.21/2.88 % (3585685)Instructions burned: 159 (million)
% 16.21/2.88 % (3585691)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=2279658079:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/160Mi)
% 16.21/2.88 % (3585691)Refutation not found, incomplete strategy
% 16.21/2.88 % (3585691)------------------------------
% 16.21/2.88 % (3585691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.21/2.88 % (3585691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.21/2.88 % (3585691)CaDiCaL version: 2.1.3
% 16.21/2.88 % (3585691)Termination reason: Refutation not found, incomplete strategy
% 16.21/2.88 % (3585691)Time elapsed: 0.001 s
% 16.21/2.88 % (3585691)Peak memory usage: 12 MB
% 16.21/2.88 % (3585691)Instructions burned: 1 (million)
% 16.21/2.88 % (3585691)------------------------------
% 16.21/2.88 % (3585691)------------------------------
% 16.21/2.88 % (3585694)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 16.21/2.88 % (3585692)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=2770014046:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/763Mi)
% 16.68/2.99 % (3585694)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=614739066:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2977 on theBenchmark for (2977ds/237Mi)
% 16.68/2.99 % (3585694)Refutation not found, incomplete strategy
% 16.68/2.99 % (3585694)------------------------------
% 16.68/2.99 % (3585694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.68/2.99 % (3585694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.68/2.99 % (3585694)CaDiCaL version: 2.1.3
% 16.68/2.99 % (3585694)Termination reason: Refutation not found, incomplete strategy
% 16.68/2.99 % (3585694)Time elapsed: 0.0000 s
% 16.68/2.99 % (3585694)Peak memory usage: 11 MB
% 16.68/2.99 % (3585694)------------------------------
% 16.68/2.99 % (3585694)------------------------------
% 16.68/2.99 % (3585697)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=2473238339:s2a=on:i=386:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/386Mi)
% 16.68/2.99 % (3585687)Instruction limit reached!
% 16.68/2.99 % (3585687)------------------------------
% 16.68/2.99 % (3585687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.68/2.99 % (3585687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.68/2.99 % (3585687)CaDiCaL version: 2.1.3
% 16.68/2.99 % (3585687)Termination reason: Instruction limit
% 16.68/2.99 % (3585687)Termination phase: Saturation
% 16.68/2.99 % (3585687)Time elapsed: 0.115 s
% 16.68/2.99 % (3585687)Peak memory usage: 12 MB
% 16.68/2.99 % (3585687)Instructions burned: 253 (million)
% 16.68/2.99 % (3585673)Instruction limit reached!
% 16.68/2.99 % (3585673)------------------------------
% 16.68/2.99 % (3585673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.68/2.99 % (3585673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.68/2.99 % (3585673)CaDiCaL version: 2.1.3
% 16.68/2.99 % (3585673)Termination reason: Instruction limit
% 16.68/2.99 % (3585673)Termination phase: Saturation
% 16.68/2.99 % (3585673)Time elapsed: 0.446 s
% 16.68/2.99 % (3585673)Peak memory usage: 13 MB
% 16.68/2.99 % (3585673)Instructions burned: 674 (million)
% 16.68/2.99 % (3585699)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=2844475094:i=300:piset=and:nm=32:rtra=on_2977 on theBenchmark for (2977ds/300Mi)
% 16.68/2.99 % (3585682)Instruction limit reached!
% 16.68/2.99 % (3585682)------------------------------
% 16.68/2.99 % (3585682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.68/2.99 % (3585682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.68/2.99 % (3585682)CaDiCaL version: 2.1.3
% 16.68/2.99 % (3585682)Termination reason: Instruction limit
% 16.68/2.99 % (3585682)Termination phase: Saturation
% 16.68/2.99 % (3585682)Time elapsed: 0.245 s
% 16.68/2.99 % (3585682)Peak memory usage: 13 MB
% 16.68/2.99 % (3585682)Instructions burned: 366 (million)
% 16.68/2.99 % (3585700)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=1987994834:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/567Mi)
% 16.68/2.99 % (3585700)Refutation not found, incomplete strategy
% 16.68/2.99 % (3585700)------------------------------
% 16.68/2.99 % (3585700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.68/2.99 % (3585700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.68/2.99 % (3585700)CaDiCaL version: 2.1.3
% 16.68/2.99 % (3585700)Termination reason: Refutation not found, incomplete strategy
% 16.68/2.99 % (3585700)Time elapsed: 0.002 s
% 16.68/2.99 % (3585700)Peak memory usage: 11 MB
% 16.68/2.99 % (3585700)Instructions burned: 1 (million)
% 16.68/2.99 % (3585700)------------------------------
% 16.68/2.99 % (3585700)------------------------------
% 16.68/2.99 % (3585702)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=3089454897:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2976 on theBenchmark for (2976ds/379Mi)
% 16.68/2.99 % (3585702)Refutation not found, incomplete strategy
% 16.68/2.99 % (3585702)------------------------------
% 16.68/2.99 % (3585702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.68/2.99 % (3585702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.68/2.99 % (3585702)CaDiCaL version: 2.1.3
% 16.68/2.99 % (3585702)Termination reason: Refutation not found, incomplete strategy
% 19.28/3.07 % (3585702)Time elapsed: 0.001 s
% 19.28/3.07 % (3585702)Peak memory usage: 11 MB
% 19.28/3.07 % (3585702)------------------------------
% 19.28/3.07 % (3585702)------------------------------
% 19.28/3.07 % (3585704)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3632363431:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2976 on theBenchmark for (2976ds/429Mi)
% 19.28/3.07 % (3585706)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3238861765:i=478:bd=all:rtra=on_2976 on theBenchmark for (2976ds/478Mi)
% 19.28/3.07 % (3585706)Refutation not found, incomplete strategy
% 19.28/3.07 % (3585706)------------------------------
% 19.28/3.07 % (3585706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.28/3.07 % (3585706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.28/3.07 % (3585706)CaDiCaL version: 2.1.3
% 19.28/3.07 % (3585706)Termination reason: Refutation not found, incomplete strategy
% 19.28/3.07 % (3585706)Time elapsed: 0.002 s
% 19.28/3.07 % (3585706)Peak memory usage: 12 MB
% 19.28/3.07 % (3585706)Instructions burned: 1 (million)
% 19.28/3.07 % (3585706)------------------------------
% 19.28/3.07 % (3585706)------------------------------
% 19.28/3.07 % (3585709)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2553284395:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2976 on theBenchmark for (2976ds/445Mi)
% 19.28/3.07 % (3585697)Instruction limit reached!
% 19.28/3.07 % (3585697)------------------------------
% 19.28/3.07 % (3585697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.28/3.07 % (3585697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.28/3.07 % (3585697)CaDiCaL version: 2.1.3
% 19.28/3.07 % (3585697)Termination reason: Instruction limit
% 19.28/3.07 % (3585697)Termination phase: Saturation
% 19.28/3.07 % (3585697)Time elapsed: 0.162 s
% 19.28/3.07 % (3585697)Peak memory usage: 12 MB
% 19.28/3.07 % (3585697)Instructions burned: 387 (million)
% 19.28/3.07 % (3585711)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2645775498:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2975 on theBenchmark for (2975ds/71Mi)
% 19.28/3.07 % (3585699)Instruction limit reached!
% 19.28/3.07 % (3585699)------------------------------
% 19.28/3.07 % (3585699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.28/3.07 % (3585699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.28/3.07 % (3585699)CaDiCaL version: 2.1.3
% 19.28/3.07 % (3585699)Termination reason: Instruction limit
% 19.28/3.07 % (3585699)Termination phase: Saturation
% 19.28/3.07 % (3585699)Time elapsed: 0.190 s
% 19.28/3.07 % (3585699)Peak memory usage: 12 MB
% 19.28/3.07 % (3585699)Instructions burned: 300 (million)
% 19.28/3.07 % (3585713)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2910246887:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/302Mi)
% 19.28/3.07 % (3585713)Refutation not found, incomplete strategy
% 19.28/3.07 % (3585713)------------------------------
% 19.28/3.07 % (3585713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.28/3.07 % (3585713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.28/3.07 % (3585713)CaDiCaL version: 2.1.3
% 19.28/3.07 % (3585713)Termination reason: Refutation not found, incomplete strategy
% 19.28/3.07 % (3585713)Time elapsed: 0.001 s
% 19.28/3.07 % (3585713)Peak memory usage: 12 MB
% 19.28/3.07 % (3585713)------------------------------
% 19.28/3.07 % (3585713)------------------------------
% 19.28/3.07 % (3585711)Instruction limit reached!
% 19.28/3.07 % (3585711)------------------------------
% 19.28/3.07 % (3585711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.28/3.07 % (3585711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.28/3.07 % (3585711)CaDiCaL version: 2.1.3
% 19.28/3.07 % (3585711)Termination reason: Instruction limit
% 19.28/3.07 % (3585711)Termination phase: Saturation
% 19.28/3.07 % (3585711)Time elapsed: 0.067 s
% 19.28/3.07 % (3585711)Peak memory usage: 13 MB
% 19.28/3.07 % (3585711)Instructions burned: 72 (million)
% 19.28/3.07 % (3585716)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 19.28/3.07 % (3585716)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 20.43/3.35 % (3585716)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2000925223:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2974 on theBenchmark for (2974ds/100Mi)
% 20.43/3.35 % (3585715)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=2887307247:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2974 on theBenchmark for (2974ds/4980Mi)
% 20.43/3.35 % (3585715)Refutation not found, incomplete strategy
% 20.43/3.35 % (3585715)------------------------------
% 20.43/3.35 % (3585715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.43/3.35 % (3585715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.43/3.35 % (3585715)CaDiCaL version: 2.1.3
% 20.43/3.35 % (3585715)Termination reason: Refutation not found, incomplete strategy
% 20.43/3.35 % (3585715)Time elapsed: 0.001 s
% 20.43/3.35 % (3585715)Peak memory usage: 11 MB
% 20.43/3.35 % (3585715)------------------------------
% 20.43/3.35 % (3585715)------------------------------
% 20.43/3.35 % (3585719)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=729467071:i=76:piset=equals:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/76Mi)
% 20.43/3.35 % (3585709)Instruction limit reached!
% 20.43/3.35 % (3585709)------------------------------
% 20.43/3.35 % (3585709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.43/3.35 % (3585709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.43/3.35 % (3585709)CaDiCaL version: 2.1.3
% 20.43/3.35 % (3585709)Termination reason: Instruction limit
% 20.43/3.35 % (3585709)Termination phase: Saturation
% 20.43/3.35 % (3585709)Time elapsed: 0.216 s
% 20.43/3.35 % (3585709)Peak memory usage: 14 MB
% 20.43/3.35 % (3585709)Instructions burned: 447 (million)
% 20.43/3.35 % (3585716)Instruction limit reached!
% 20.43/3.35 % (3585716)------------------------------
% 20.43/3.35 % (3585716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.43/3.35 % (3585716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.43/3.35 % (3585716)CaDiCaL version: 2.1.3
% 20.43/3.35 % (3585716)Termination reason: Instruction limit
% 20.43/3.35 % (3585716)Termination phase: Saturation
% 20.43/3.35 % (3585716)Time elapsed: 0.071 s
% 20.43/3.35 % (3585716)Peak memory usage: 12 MB
% 20.43/3.35 % (3585716)Instructions burned: 100 (million)
% 20.43/3.35 % (3585719)Instruction limit reached!
% 20.43/3.35 % (3585719)------------------------------
% 20.43/3.35 % (3585719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.43/3.35 % (3585719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.43/3.35 % (3585719)CaDiCaL version: 2.1.3
% 20.43/3.35 % (3585719)Termination reason: Instruction limit
% 20.43/3.35 % (3585719)Termination phase: Saturation
% 20.43/3.35 % (3585719)Time elapsed: 0.042 s
% 20.43/3.35 % (3585719)Peak memory usage: 12 MB
% 20.43/3.35 % (3585719)Instructions burned: 77 (million)
% 20.43/3.35 % (3585721)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=2441162687:i=289:rtra=on_2973 on theBenchmark for (2973ds/289Mi)
% 20.43/3.35 % (3585721)Refutation not found, incomplete strategy
% 20.43/3.35 % (3585721)------------------------------
% 20.43/3.35 % (3585721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.43/3.35 % (3585721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.43/3.35 % (3585721)CaDiCaL version: 2.1.3
% 20.43/3.35 % (3585721)Termination reason: Refutation not found, incomplete strategy
% 20.43/3.35 % (3585721)Time elapsed: 0.001 s
% 20.43/3.35 % (3585721)Peak memory usage: 11 MB
% 20.43/3.35 % (3585721)Instructions burned: 1 (million)
% 20.43/3.35 % (3585721)------------------------------
% 20.43/3.35 % (3585721)------------------------------
% 20.43/3.35 % (3585723)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=3763479702:cond=on:i=34:hud=10:nm=10:rtra=on_2973 on theBenchmark for (2973ds/34Mi)
% 20.43/3.35 % (3585722)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=2794419081:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2973 on theBenchmark for (2973ds/493Mi)
% 20.43/3.35 % (3585725)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 20.99/3.55 % (3585725)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=2431877785:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2973 on theBenchmark for (2973ds/372Mi)
% 20.99/3.55 % (3585725)Refutation not found, incomplete strategy
% 20.99/3.55 % (3585725)------------------------------
% 20.99/3.55 % (3585725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.99/3.55 % (3585725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/3.55 % (3585725)CaDiCaL version: 2.1.3
% 20.99/3.55 % (3585725)Termination reason: Refutation not found, incomplete strategy
% 20.99/3.55 % (3585725)Time elapsed: 0.002 s
% 20.99/3.55 % (3585725)Peak memory usage: 11 MB
% 20.99/3.55 % (3585725)Instructions burned: 2 (million)
% 20.99/3.55 % (3585725)------------------------------
% 20.99/3.55 % (3585725)------------------------------
% 20.99/3.55 % (3585723)Instruction limit reached!
% 20.99/3.55 % (3585723)------------------------------
% 20.99/3.55 % (3585723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.99/3.55 % (3585723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/3.55 % (3585723)CaDiCaL version: 2.1.3
% 20.99/3.55 % (3585723)Termination reason: Instruction limit
% 20.99/3.55 % (3585723)Termination phase: Saturation
% 20.99/3.55 % (3585723)Time elapsed: 0.030 s
% 20.99/3.55 % (3585723)Peak memory usage: 12 MB
% 20.99/3.55 % (3585723)Instructions burned: 34 (million)
% 20.99/3.55 % (3585692)Instruction limit reached!
% 20.99/3.55 % (3585692)------------------------------
% 20.99/3.55 % (3585692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.99/3.55 % (3585692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/3.55 % (3585692)CaDiCaL version: 2.1.3
% 20.99/3.55 % (3585692)Termination reason: Instruction limit
% 20.99/3.55 % (3585692)Termination phase: Saturation
% 20.99/3.55 % (3585692)Time elapsed: 0.439 s
% 20.99/3.55 % (3585692)Peak memory usage: 13 MB
% 20.99/3.55 % (3585692)Instructions burned: 764 (million)
% 20.99/3.55 % (3585729)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=2517485767:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2973 on theBenchmark for (2973ds/670Mi)
% 20.99/3.55 % (3585704)Instruction limit reached!
% 20.99/3.55 % (3585704)------------------------------
% 20.99/3.55 % (3585704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.99/3.55 % (3585704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/3.55 % (3585704)CaDiCaL version: 2.1.3
% 20.99/3.55 % (3585704)Termination reason: Instruction limit
% 20.99/3.55 % (3585704)Termination phase: Saturation
% 20.99/3.55 % (3585704)Time elapsed: 0.350 s
% 20.99/3.55 % (3585704)Peak memory usage: 12 MB
% 20.99/3.55 % (3585704)Instructions burned: 430 (million)
% 20.99/3.55 % (3585730)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1111785017:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2973 on theBenchmark for (2973ds/647Mi)
% 20.99/3.55 % (3585730)Refutation not found, incomplete strategy
% 20.99/3.55 % (3585730)------------------------------
% 20.99/3.55 % (3585730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.99/3.55 % (3585730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.99/3.55 % (3585730)CaDiCaL version: 2.1.3
% 20.99/3.55 % (3585730)Termination reason: Refutation not found, incomplete strategy
% 20.99/3.55 % (3585730)Time elapsed: 0.001 s
% 20.99/3.55 % (3585730)Peak memory usage: 11 MB
% 20.99/3.55 % (3585730)------------------------------
% 20.99/3.55 % (3585730)------------------------------
% 20.99/3.55 % (3585732)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=3360340324:i=857:add=off:kws=frequency:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/857Mi)
% 20.99/3.55 % (3585735)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=2806110114:i=285:hud=10:bd=all:rtra=on:ss=axioms_2972 on theBenchmark for (2972ds/285Mi)
% 20.99/3.55 % (3585735)Refutation not found, incomplete strategy
% 20.99/3.55 % (3585735)------------------------------
% 20.99/3.55 % (3585735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.74 % (3585735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.74 % (3585735)CaDiCaL version: 2.1.3
% 22.66/3.74 % (3585735)Termination reason: Refutation not found, incomplete strategy
% 22.66/3.74 % (3585735)Time elapsed: 0.001 s
% 22.66/3.74 % (3585735)Peak memory usage: 11 MB
% 22.66/3.74 % (3585735)Instructions burned: 1 (million)
% 22.66/3.74 % (3585733)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=1619935418:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2972 on theBenchmark for (2972ds/693Mi)
% 22.66/3.74 % (3585735)------------------------------
% 22.66/3.74 % (3585735)------------------------------
% 22.66/3.74 % (3585739)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 22.66/3.74 % (3585739)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=1921745348:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2972 on theBenchmark for (2972ds/52Mi)
% 22.66/3.74 % (3585739)Refutation not found, incomplete strategy
% 22.66/3.74 % (3585739)------------------------------
% 22.66/3.74 % (3585739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.74 % (3585739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.74 % (3585739)CaDiCaL version: 2.1.3
% 22.66/3.74 % (3585739)Termination reason: Refutation not found, incomplete strategy
% 22.66/3.74 % (3585739)Time elapsed: 0.006 s
% 22.66/3.74 % (3585739)Peak memory usage: 12 MB
% 22.66/3.74 % (3585739)Instructions burned: 8 (million)
% 22.66/3.74 % (3585739)------------------------------
% 22.66/3.74 % (3585739)------------------------------
% 22.66/3.74 % (3585741)dis+10_1_si=on:random_seed=1516215285:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2972 on theBenchmark for (2972ds/407Mi)
% 22.66/3.74 % (3585741)Refutation not found, incomplete strategy
% 22.66/3.74 % (3585741)------------------------------
% 22.66/3.74 % (3585741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.74 % (3585741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.74 % (3585741)CaDiCaL version: 2.1.3
% 22.66/3.74 % (3585741)Termination reason: Refutation not found, incomplete strategy
% 22.66/3.74 % (3585741)Time elapsed: 0.001 s
% 22.66/3.74 % (3585741)Peak memory usage: 12 MB
% 22.66/3.74 % (3585741)------------------------------
% 22.66/3.74 % (3585741)------------------------------
% 22.66/3.74 % (3585743)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=2604838263:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/2240Mi)
% 22.66/3.74 % (3585729)Instruction limit reached!
% 22.66/3.74 % (3585729)------------------------------
% 22.66/3.74 % (3585729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.74 % (3585729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.74 % (3585729)CaDiCaL version: 2.1.3
% 22.66/3.74 % (3585729)Termination reason: Instruction limit
% 22.66/3.74 % (3585729)Termination phase: Saturation
% 22.66/3.74 % (3585729)Time elapsed: 0.246 s
% 22.66/3.74 % (3585729)Peak memory usage: 12 MB
% 22.66/3.74 % (3585729)Instructions burned: 672 (million)
% 22.66/3.74 % (3585745)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=1801295134:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2970 on theBenchmark for (2970ds/336Mi)
% 22.66/3.74 % (3585745)Refutation not found, incomplete strategy
% 22.66/3.74 % (3585745)------------------------------
% 22.66/3.74 % (3585745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.74 % (3585745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.74 % (3585745)CaDiCaL version: 2.1.3
% 22.66/3.74 % (3585745)Termination reason: Refutation not found, incomplete strategy
% 22.66/3.74 % (3585745)Time elapsed: 0.001 s
% 22.66/3.74 % (3585745)Peak memory usage: 12 MB
% 22.66/3.74 % (3585745)------------------------------
% 22.66/3.74 % (3585745)------------------------------
% 22.66/3.74 % (3585748)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=30512161:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2970 on theBenchmark for (2970ds/1142Mi)
% 22.66/3.74 % (3585722)Instruction limit reached!
% 22.66/3.74 % (3585722)------------------------------
% 26.36/4.10 % (3585722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.36/4.10 % (3585722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.36/4.10 % (3585722)CaDiCaL version: 2.1.3
% 26.36/4.10 % (3585722)Termination reason: Instruction limit
% 26.36/4.10 % (3585722)Termination phase: Saturation
% 26.36/4.10 % (3585722)Time elapsed: 0.371 s
% 26.36/4.10 % (3585722)Peak memory usage: 12 MB
% 26.36/4.10 % (3585722)Instructions burned: 494 (million)
% 26.36/4.10 % (3585750)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=2065276198:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2969 on theBenchmark for (2969ds/376Mi)
% 26.36/4.10 % (3585750)Refutation not found, incomplete strategy
% 26.36/4.10 % (3585750)------------------------------
% 26.36/4.10 % (3585750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.36/4.10 % (3585750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.36/4.10 % (3585750)CaDiCaL version: 2.1.3
% 26.36/4.10 % (3585750)Termination reason: Refutation not found, incomplete strategy
% 26.36/4.10 % (3585750)Time elapsed: 0.001 s
% 26.36/4.10 % (3585750)Peak memory usage: 12 MB
% 26.36/4.10 % (3585750)------------------------------
% 26.36/4.10 % (3585750)------------------------------
% 26.36/4.10 % (3585752)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=238219035:i=766:bd=all:rtra=on_2969 on theBenchmark for (2969ds/766Mi)
% 26.36/4.10 % (3585752)Refutation not found, incomplete strategy
% 26.36/4.10 % (3585752)------------------------------
% 26.36/4.10 % (3585752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.36/4.10 % (3585752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.36/4.10 % (3585752)CaDiCaL version: 2.1.3
% 26.36/4.10 % (3585752)Termination reason: Refutation not found, incomplete strategy
% 26.36/4.10 % (3585752)Time elapsed: 0.002 s
% 26.36/4.10 % (3585752)Peak memory usage: 12 MB
% 26.36/4.10 % (3585752)Instructions burned: 1 (million)
% 26.36/4.10 % (3585752)------------------------------
% 26.36/4.10 % (3585752)------------------------------
% 26.36/4.10 % (3585754)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 26.36/4.10 % (3585754)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=4042690197: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_2969 on theBenchmark for (2969ds/959Mi)
% 26.36/4.10 % (3585754)Refutation not found, incomplete strategy
% 26.36/4.10 % (3585754)------------------------------
% 26.36/4.10 % (3585754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.36/4.10 % (3585754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.36/4.10 % (3585754)CaDiCaL version: 2.1.3
% 26.36/4.10 % (3585754)Termination reason: Refutation not found, incomplete strategy
% 26.36/4.10 % (3585754)Time elapsed: 0.001 s
% 26.36/4.10 % (3585754)Peak memory usage: 11 MB
% 26.36/4.10 % (3585754)------------------------------
% 26.36/4.10 % (3585754)------------------------------
% 26.36/4.10 % (3585756)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=1190059792:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2968 on theBenchmark for (2968ds/6359Mi)
% 26.36/4.10 % (3585733)Instruction limit reached!
% 26.36/4.10 % (3585733)------------------------------
% 26.36/4.10 % (3585733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.36/4.10 % (3585733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.36/4.10 % (3585733)CaDiCaL version: 2.1.3
% 26.36/4.10 % (3585733)Termination reason: Instruction limit
% 26.36/4.10 % (3585733)Termination phase: Saturation
% 26.36/4.10 % (3585733)Time elapsed: 0.443 s
% 26.36/4.10 % (3585733)Peak memory usage: 12 MB
% 26.36/4.10 % (3585733)Instructions burned: 694 (million)
% 26.36/4.10 % (3585758)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=713538258:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2968 on theBenchmark for (2968ds/35Mi)
% 26.36/4.10 % (3585758)Refutation not found, incomplete strategy
% 26.36/4.10 % (3585758)------------------------------
% 26.36/4.10 % (3585758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.36/4.10 % (3585758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.84/4.31 % (3585758)CaDiCaL version: 2.1.3
% 27.84/4.31 % (3585758)Termination reason: Refutation not found, incomplete strategy
% 27.84/4.31 % (3585758)Time elapsed: 0.001 s
% 27.84/4.31 % (3585758)Peak memory usage: 11 MB
% 27.84/4.31 % (3585758)------------------------------
% 27.84/4.31 % (3585758)------------------------------
% 27.84/4.31 % (3585760)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3873460104:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2967 on theBenchmark for (2967ds/53Mi)
% 27.84/4.31 % (3585732)Instruction limit reached!
% 27.84/4.31 % (3585732)------------------------------
% 27.84/4.31 % (3585732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.84/4.31 % (3585732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.84/4.31 % (3585732)CaDiCaL version: 2.1.3
% 27.84/4.31 % (3585732)Termination reason: Instruction limit
% 27.84/4.31 % (3585732)Termination phase: Saturation
% 27.84/4.31 % (3585732)Time elapsed: 0.554 s
% 27.84/4.31 % (3585732)Peak memory usage: 12 MB
% 27.84/4.31 % (3585732)Instructions burned: 858 (million)
% 27.84/4.31 % (3585760)Instruction limit reached!
% 27.84/4.31 % (3585760)------------------------------
% 27.84/4.31 % (3585760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.84/4.31 % (3585760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.84/4.31 % (3585760)CaDiCaL version: 2.1.3
% 27.84/4.31 % (3585760)Termination reason: Instruction limit
% 27.84/4.31 % (3585760)Termination phase: Saturation
% 27.84/4.31 % (3585760)Time elapsed: 0.046 s
% 27.84/4.31 % (3585760)Peak memory usage: 12 MB
% 27.84/4.31 % (3585760)Instructions burned: 53 (million)
% 27.84/4.31 % (3585762)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=410913835:s2a=on:i=876:s2at=6:nm=2:rtra=on_2967 on theBenchmark for (2967ds/876Mi)
% 27.84/4.31 % (3585763)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=906922788:i=57:ep=R:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/57Mi)
% 27.84/4.31 % (3585763)Instruction limit reached!
% 27.84/4.31 % (3585763)------------------------------
% 27.84/4.31 % (3585763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.84/4.31 % (3585763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.84/4.31 % (3585763)CaDiCaL version: 2.1.3
% 27.84/4.31 % (3585763)Termination reason: Instruction limit
% 27.84/4.31 % (3585763)Termination phase: Saturation
% 27.84/4.31 % (3585763)Time elapsed: 0.030 s
% 27.84/4.31 % (3585763)Peak memory usage: 12 MB
% 27.84/4.31 % (3585763)Instructions burned: 58 (million)
% 27.84/4.31 % (3585766)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 27.84/4.31 % (3585766)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3130347428:i=306:bd=all:rtra=on_2966 on theBenchmark for (2966ds/306Mi)
% 27.84/4.31 % (3585766)Refutation not found, incomplete strategy
% 27.84/4.31 % (3585766)------------------------------
% 27.84/4.31 % (3585766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.84/4.31 % (3585766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.84/4.31 % (3585766)CaDiCaL version: 2.1.3
% 27.84/4.31 % (3585766)Termination reason: Refutation not found, incomplete strategy
% 27.84/4.31 % (3585766)Time elapsed: 0.001 s
% 27.84/4.31 % (3585766)Peak memory usage: 11 MB
% 27.84/4.31 % (3585766)Instructions burned: 1 (million)
% 27.84/4.31 % (3585766)------------------------------
% 27.84/4.31 % (3585766)------------------------------
% 27.84/4.31 % (3585768)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=2576253337:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2966 on theBenchmark for (2966ds/262Mi)
% 27.84/4.31 % (3585768)Refutation not found, incomplete strategy
% 27.84/4.31 % (3585768)------------------------------
% 27.84/4.31 % (3585768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.84/4.31 % (3585768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.84/4.31 % (3585768)CaDiCaL version: 2.1.3
% 27.84/4.31 % (3585768)Termination reason: Refutation not found, incomplete strategy
% 27.84/4.31 % (3585768)Time elapsed: 0.001 s
% 27.84/4.31 % (3585768)Peak memory usage: 12 MB
% 27.84/4.31 % (3585748)Instruction limit reached!
% 27.84/4.31 % (3585748)------------------------------
% 27.84/4.31 % (3585748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.64/4.42 % (3585748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.64/4.42 % (3585748)CaDiCaL version: 2.1.3
% 28.64/4.42 % (3585748)Termination reason: Instruction limit
% 28.64/4.42 % (3585748)Termination phase: Saturation
% 28.64/4.42 % (3585748)Time elapsed: 0.431 s
% 28.64/4.42 % (3585748)Peak memory usage: 14 MB
% 28.64/4.42 % (3585748)Instructions burned: 1142 (million)
% 28.64/4.42 % (3585768)------------------------------
% 28.64/4.42 % (3585768)------------------------------
% 28.64/4.42 % (3585770)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 28.64/4.42 % (3585770)ott+1002_16_sil=128000:si=on:random_seed=3023744327:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2965 on theBenchmark for (2965ds/409Mi)
% 28.64/4.42 % (3585771)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=2548029058:s2a=on:i=381:rtra=on_2965 on theBenchmark for (2965ds/381Mi)
% 28.64/4.42 % (3585770)Instruction limit reached!
% 28.64/4.42 % (3585770)------------------------------
% 28.64/4.42 % (3585770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.64/4.42 % (3585770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.64/4.42 % (3585770)CaDiCaL version: 2.1.3
% 28.64/4.42 % (3585770)Termination reason: Instruction limit
% 28.64/4.42 % (3585770)Termination phase: Saturation
% 28.64/4.42 % (3585770)Time elapsed: 0.154 s
% 28.64/4.42 % (3585770)Peak memory usage: 13 MB
% 28.64/4.42 % (3585770)Instructions burned: 410 (million)
% 28.64/4.42 % (3585774)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2599646893:cond=on:i=324:rtra=on:ntd=on_2964 on theBenchmark for (2964ds/324Mi)
% 28.64/4.42 % (3585774)Instruction limit reached!
% 28.64/4.42 % (3585774)------------------------------
% 28.64/4.42 % (3585774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.64/4.42 % (3585774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.64/4.42 % (3585774)CaDiCaL version: 2.1.3
% 28.64/4.42 % (3585774)Termination reason: Instruction limit
% 28.64/4.42 % (3585774)Termination phase: Saturation
% 28.64/4.42 % (3585774)Time elapsed: 0.115 s
% 28.64/4.42 % (3585774)Peak memory usage: 12 MB
% 28.64/4.42 % (3585774)Instructions burned: 324 (million)
% 28.64/4.42 % (3585776)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3914592624:i=240:kws=inv_precedence:rtra=on_2962 on theBenchmark for (2962ds/240Mi)
% 28.64/4.42 % (3585671)Instruction limit reached!
% 28.64/4.42 % (3585671)------------------------------
% 28.64/4.42 % (3585671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.64/4.42 % (3585671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.64/4.42 % (3585671)CaDiCaL version: 2.1.3
% 28.64/4.42 % (3585671)Termination reason: Instruction limit
% 28.64/4.42 % (3585671)Termination phase: Saturation
% 28.64/4.42 % (3585671)Time elapsed: 1.979 s
% 28.64/4.42 % (3585671)Peak memory usage: 17 MB
% 28.64/4.42 % (3585671)Instructions burned: 2471 (million)
% 28.64/4.42 % (3585776)Refutation not found, incomplete strategy
% 28.64/4.42 % (3585776)------------------------------
% 28.64/4.42 % (3585776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.64/4.42 % (3585776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.64/4.42 % (3585776)CaDiCaL version: 2.1.3
% 28.64/4.42 % (3585776)Termination reason: Refutation not found, incomplete strategy
% 28.64/4.42 % (3585776)Time elapsed: 0.002 s
% 28.64/4.42 % (3585776)Peak memory usage: 11 MB
% 28.64/4.42 % (3585776)Instructions burned: 1 (million)
% 28.64/4.42 % (3585776)------------------------------
% 28.64/4.42 % (3585776)------------------------------
% 28.64/4.42 % (3585771)Instruction limit reached!
% 28.64/4.42 % (3585771)------------------------------
% 28.64/4.42 % (3585771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.64/4.42 % (3585771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.64/4.42 % (3585771)CaDiCaL version: 2.1.3
% 28.64/4.42 % (3585771)Termination reason: Instruction limit
% 28.64/4.42 % (3585771)Termination phase: Saturation
% 28.64/4.42 % (3585771)Time elapsed: 0.300 s
% 28.64/4.42 % (3585771)Peak memory usage: 12 MB
% 28.64/4.42 % (3585771)Instructions burned: 382 (million)
% 28.64/4.42 % (3585778)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 28.64/4.42 % (3585778)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1302855181:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2962 on theBenchmark for (2962ds/124Mi)
% 30.57/4.81 % (3585778)Refutation not found, incomplete strategy
% 30.57/4.81 % (3585778)------------------------------
% 30.57/4.81 % (3585778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.57/4.81 % (3585778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.57/4.81 % (3585778)CaDiCaL version: 2.1.3
% 30.57/4.81 % (3585778)Termination reason: Refutation not found, incomplete strategy
% 30.57/4.81 % (3585778)Time elapsed: 0.007 s
% 30.57/4.81 % (3585778)Peak memory usage: 12 MB
% 30.57/4.81 % (3585778)Instructions burned: 11 (million)
% 30.57/4.81 % (3585778)------------------------------
% 30.57/4.81 % (3585778)------------------------------
% 30.57/4.81 % (3585779)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=887544778:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2962 on theBenchmark for (2962ds/223Mi)
% 30.57/4.81 % (3585780)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3179939791:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2962 on theBenchmark for (2962ds/282Mi)
% 30.57/4.81 % (3585782)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=4256401186:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2962 on theBenchmark for (2962ds/464Mi)
% 30.57/4.81 % (3585782)Refutation not found, incomplete strategy
% 30.57/4.81 % (3585782)------------------------------
% 30.57/4.81 % (3585782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.57/4.81 % (3585782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.57/4.81 % (3585782)CaDiCaL version: 2.1.3
% 30.57/4.81 % (3585782)Termination reason: Refutation not found, incomplete strategy
% 30.57/4.81 % (3585782)Time elapsed: 0.001 s
% 30.57/4.81 % (3585782)Peak memory usage: 11 MB
% 30.57/4.81 % (3585782)Instructions burned: 1 (million)
% 30.57/4.81 % (3585782)------------------------------
% 30.57/4.81 % (3585782)------------------------------
% 30.57/4.81 % (3585786)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=3693760075:i=88:s2at=3:nm=2:rtra=on:rawr=on_2961 on theBenchmark for (2961ds/88Mi)
% 30.57/4.81 % (3585786)Instruction limit reached!
% 30.57/4.81 % (3585786)------------------------------
% 30.57/4.81 % (3585786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.57/4.81 % (3585786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.57/4.81 % (3585786)CaDiCaL version: 2.1.3
% 30.57/4.81 % (3585786)Termination reason: Instruction limit
% 30.57/4.81 % (3585786)Termination phase: Saturation
% 30.57/4.81 % (3585786)Time elapsed: 0.037 s
% 30.57/4.81 % (3585786)Peak memory usage: 13 MB
% 30.57/4.81 % (3585786)Instructions burned: 89 (million)
% 30.57/4.81 % (3585788)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1291605103:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2961 on theBenchmark for (2961ds/280Mi)
% 30.57/4.81 % (3585779)Instruction limit reached!
% 30.57/4.81 % (3585779)------------------------------
% 30.57/4.81 % (3585779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.57/4.81 % (3585779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.57/4.81 % (3585779)CaDiCaL version: 2.1.3
% 30.57/4.81 % (3585779)Termination reason: Instruction limit
% 30.57/4.81 % (3585779)Termination phase: Saturation
% 30.57/4.81 % (3585779)Time elapsed: 0.137 s
% 30.57/4.81 % (3585779)Peak memory usage: 12 MB
% 30.57/4.81 % (3585779)Instructions burned: 223 (million)
% 30.57/4.81 % (3585790)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 30.57/4.81 % (3585790)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2411865909:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2960 on theBenchmark for (2960ds/4386Mi)
% 30.57/4.81 % (3585762)Instruction limit reached!
% 30.57/4.81 % (3585762)------------------------------
% 30.57/4.81 % (3585762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 30.57/4.81 % (3585762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.57/4.81 % (3585762)CaDiCaL version: 2.1.3
% 30.57/4.81 % (3585762)Termination reason: Instruction limit
% 30.57/4.81 % (3585762)Termination phase: Saturation
% 33.40/5.05 % (3585762)Time elapsed: 0.673 s
% 33.40/5.05 % (3585762)Peak memory usage: 13 MB
% 33.40/5.05 % (3585762)Instructions burned: 877 (million)
% 33.40/5.05 % (3585780)Instruction limit reached!
% 33.40/5.05 % (3585780)------------------------------
% 33.40/5.05 % (3585780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.40/5.05 % (3585780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.40/5.05 % (3585780)CaDiCaL version: 2.1.3
% 33.40/5.05 % (3585780)Termination reason: Instruction limit
% 33.40/5.05 % (3585780)Termination phase: Saturation
% 33.40/5.05 % (3585780)Time elapsed: 0.215 s
% 33.40/5.05 % (3585780)Peak memory usage: 12 MB
% 33.40/5.05 % (3585780)Instructions burned: 282 (million)
% 33.40/5.05 % (3585792)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 33.40/5.05 % (3585792)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 33.40/5.05 % (3585792)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=3972283731:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2960 on theBenchmark for (2960ds/483Mi)
% 33.40/5.05 % (3585792)Refutation not found, incomplete strategy
% 33.40/5.05 % (3585792)------------------------------
% 33.40/5.05 % (3585792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.40/5.05 % (3585792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.40/5.05 % (3585792)CaDiCaL version: 2.1.3
% 33.40/5.05 % (3585792)Termination reason: Refutation not found, incomplete strategy
% 33.40/5.05 % (3585792)Time elapsed: 0.001 s
% 33.40/5.05 % (3585792)Peak memory usage: 12 MB
% 33.40/5.05 % (3585792)------------------------------
% 33.40/5.05 % (3585792)------------------------------
% 33.40/5.05 % (3585788)Instruction limit reached!
% 33.40/5.05 % (3585788)------------------------------
% 33.40/5.05 % (3585788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.40/5.05 % (3585788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.40/5.05 % (3585788)CaDiCaL version: 2.1.3
% 33.40/5.05 % (3585788)Termination reason: Instruction limit
% 33.40/5.05 % (3585788)Termination phase: Saturation
% 33.40/5.05 % (3585788)Time elapsed: 0.132 s
% 33.40/5.05 % (3585788)Peak memory usage: 12 MB
% 33.40/5.05 % (3585788)Instructions burned: 281 (million)
% 33.40/5.05 % (3585793)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1526696985:i=73:rtra=on_2959 on theBenchmark for (2959ds/73Mi)
% 33.40/5.05 % (3585795)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1135867034:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2959 on theBenchmark for (2959ds/176Mi)
% 33.40/5.05 % (3585793)Refutation not found, incomplete strategy
% 33.40/5.05 % (3585793)------------------------------
% 33.40/5.05 % (3585793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.40/5.05 % (3585793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.40/5.05 % (3585793)CaDiCaL version: 2.1.3
% 33.40/5.05 % (3585793)Termination reason: Refutation not found, incomplete strategy
% 33.40/5.05 % (3585793)Time elapsed: 0.002 s
% 33.40/5.05 % (3585793)Peak memory usage: 11 MB
% 33.40/5.05 % (3585793)Instructions burned: 1 (million)
% 33.40/5.05 % (3585793)------------------------------
% 33.40/5.05 % (3585793)------------------------------
% 33.40/5.05 % (3585796)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 33.40/5.05 % (3585796)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=2525778327:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2959 on theBenchmark for (2959ds/39Mi)
% 33.40/5.05 % (3585799)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3865146603:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2959 on theBenchmark for (2959ds/708Mi)
% 33.40/5.05 % (3585796)Instruction limit reached!
% 33.40/5.05 % (3585796)------------------------------
% 33.40/5.05 % (3585796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.40/5.05 % (3585796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.40/5.05 % (3585796)CaDiCaL version: 2.1.3
% 33.40/5.05 % (3585796)Termination reason: Instruction limit
% 34.46/5.27 % (3585796)Termination phase: Saturation
% 34.46/5.27 % (3585796)Time elapsed: 0.037 s
% 34.46/5.27 % (3585796)Peak memory usage: 12 MB
% 34.46/5.27 % (3585796)Instructions burned: 39 (million)
% 34.46/5.27 % (3585802)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
% 34.46/5.27 % (3585802)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=2844141008:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2959 on theBenchmark for (2959ds/252Mi)
% 34.46/5.27 % (3585795)Instruction limit reached!
% 34.46/5.27 % (3585795)------------------------------
% 34.46/5.27 % (3585795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.46/5.27 % (3585795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.27 % (3585795)CaDiCaL version: 2.1.3
% 34.46/5.27 % (3585795)Termination reason: Instruction limit
% 34.46/5.27 % (3585795)Termination phase: Saturation
% 34.46/5.27 % (3585795)Time elapsed: 0.084 s
% 34.46/5.27 % (3585795)Peak memory usage: 12 MB
% 34.46/5.27 % (3585795)Instructions burned: 179 (million)
% 34.46/5.27 % (3585804)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=287261795:i=823:fsr=off:rtra=on_2958 on theBenchmark for (2958ds/823Mi)
% 34.46/5.27 % (3585802)Instruction limit reached!
% 34.46/5.27 % (3585802)------------------------------
% 34.46/5.27 % (3585802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.46/5.27 % (3585802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.27 % (3585802)CaDiCaL version: 2.1.3
% 34.46/5.27 % (3585802)Termination reason: Instruction limit
% 34.46/5.27 % (3585802)Termination phase: Saturation
% 34.46/5.27 % (3585802)Time elapsed: 0.147 s
% 34.46/5.27 % (3585802)Peak memory usage: 12 MB
% 34.46/5.27 % (3585802)Instructions burned: 253 (million)
% 34.46/5.27 % (3585806)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 34.46/5.27 % (3585806)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=3196853006:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2957 on theBenchmark for (2957ds/16202Mi)
% 34.46/5.27 % (3585806)Refutation not found, incomplete strategy
% 34.46/5.27 % (3585806)------------------------------
% 34.46/5.27 % (3585806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.46/5.27 % (3585806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.27 % (3585806)CaDiCaL version: 2.1.3
% 34.46/5.27 % (3585806)Termination reason: Refutation not found, incomplete strategy
% 34.46/5.27 % (3585806)Time elapsed: 0.003 s
% 34.46/5.27 % (3585806)Peak memory usage: 11 MB
% 34.46/5.27 % (3585806)Instructions burned: 1 (million)
% 34.46/5.27 % (3585806)------------------------------
% 34.46/5.27 % (3585806)------------------------------
% 34.46/5.27 % (3585808)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=3730444579:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2957 on theBenchmark for (2957ds/300Mi)
% 34.46/5.27 % (3585804)Instruction limit reached!
% 34.46/5.27 % (3585804)------------------------------
% 34.46/5.27 % (3585804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.46/5.27 % (3585804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.27 % (3585804)CaDiCaL version: 2.1.3
% 34.46/5.27 % (3585804)Termination reason: Instruction limit
% 34.46/5.27 % (3585804)Termination phase: Saturation
% 34.46/5.27 % (3585804)Time elapsed: 0.324 s
% 34.46/5.27 % (3585804)Peak memory usage: 13 MB
% 34.46/5.27 % (3585804)Instructions burned: 825 (million)
% 34.46/5.27 % (3585810)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 34.46/5.27 % (3585810)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 34.46/5.27 % (3585810)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=3398021297:i=177:add=on:bd=preordered:rtra=on:rawr=on_2955 on theBenchmark for (2955ds/177Mi)
% 34.46/5.27 % (3585743)Instruction limit reached!
% 34.46/5.27 % (3585743)------------------------------
% 34.46/5.27 % (3585743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.17/5.39 % (3585743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.17/5.39 % (3585743)CaDiCaL version: 2.1.3
% 35.17/5.39 % (3585743)Termination reason: Instruction limit
% 35.17/5.39 % (3585743)Termination phase: Saturation
% 35.17/5.39 % (3585743)Time elapsed: 1.668 s
% 35.17/5.39 % (3585743)Peak memory usage: 18 MB
% 35.17/5.39 % (3585743)Instructions burned: 2240 (million)
% 35.17/5.39 % (3585808)Instruction limit reached!
% 35.17/5.39 % (3585808)------------------------------
% 35.17/5.39 % (3585808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.17/5.39 % (3585808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.17/5.39 % (3585808)CaDiCaL version: 2.1.3
% 35.17/5.39 % (3585808)Termination reason: Instruction limit
% 35.17/5.39 % (3585808)Termination phase: Saturation
% 35.17/5.39 % (3585808)Time elapsed: 0.191 s
% 35.17/5.39 % (3585808)Peak memory usage: 12 MB
% 35.17/5.39 % (3585808)Instructions burned: 301 (million)
% 35.17/5.39 % (3585812)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=149575507:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2955 on theBenchmark for (2955ds/715Mi)
% 35.17/5.39 % (3585799)Instruction limit reached!
% 35.17/5.39 % (3585799)------------------------------
% 35.17/5.39 % (3585799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.17/5.39 % (3585799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.17/5.39 % (3585799)CaDiCaL version: 2.1.3
% 35.17/5.39 % (3585799)Termination reason: Instruction limit
% 35.17/5.39 % (3585799)Termination phase: Saturation
% 35.17/5.39 % (3585799)Time elapsed: 0.448 s
% 35.17/5.39 % (3585799)Peak memory usage: 13 MB
% 35.17/5.39 % (3585799)Instructions burned: 709 (million)
% 35.17/5.39 % (3585812)Refutation not found, incomplete strategy
% 35.17/5.39 % (3585812)------------------------------
% 35.17/5.39 % (3585812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.17/5.39 % (3585812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.17/5.39 % (3585812)CaDiCaL version: 2.1.3
% 35.17/5.39 % (3585812)Termination reason: Refutation not found, incomplete strategy
% 35.17/5.39 % (3585812)Time elapsed: 0.002 s
% 35.17/5.39 % (3585812)Peak memory usage: 11 MB
% 35.17/5.39 % (3585812)Instructions burned: 2 (million)
% 35.17/5.39 % (3585812)------------------------------
% 35.17/5.39 % (3585812)------------------------------
% 35.17/5.39 % (3585813)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 35.17/5.39 % (3585813)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 35.17/5.39 % (3585813)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=4256942000:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2954 on theBenchmark for (2954ds/230Mi)
% 35.17/5.39 % (3585816)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 35.17/5.39 % (3585813)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 35.17/5.39 % (3585816)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=25135194:lrd=on:i=841:nm=0:rtra=on_2954 on theBenchmark for (2954ds/841Mi)
% 35.17/5.39 % (3585815)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2737401107:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2954 on theBenchmark for (2954ds/606Mi)
% 35.17/5.39 % (3585810)Instruction limit reached!
% 35.17/5.39 % (3585810)------------------------------
% 35.17/5.39 % (3585810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.17/5.39 % (3585810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.17/5.39 % (3585810)CaDiCaL version: 2.1.3
% 35.17/5.39 % (3585810)Termination reason: Instruction limit
% 35.17/5.39 % (3585810)Termination phase: Saturation
% 35.17/5.39 % (3585810)Time elapsed: 0.078 s
% 35.17/5.39 % (3585810)Peak memory usage: 12 MB
% 35.17/5.39 % (3585810)Instructions burned: 178 (million)
% 35.17/5.39 % (3585820)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3965408436:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2954 on theBenchmark for (2954ds/445Mi)
% 35.17/5.39 % (3585813)Instruction limit reached!
% 35.17/5.39 % (3585813)------------------------------
% 36.03/5.53 % (3585813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.03/5.53 % (3585813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.03/5.53 % (3585813)CaDiCaL version: 2.1.3
% 36.03/5.53 % (3585813)Termination reason: Instruction limit
% 36.03/5.53 % (3585813)Termination phase: Saturation
% 36.03/5.53 % (3585813)Time elapsed: 0.186 s
% 36.03/5.53 % (3585813)Peak memory usage: 12 MB
% 36.03/5.53 % (3585813)Instructions burned: 231 (million)
% 36.03/5.53 % (3585822)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3518915073:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2952 on theBenchmark for (2952ds/71Mi)
% 36.03/5.53 % (3585822)Instruction limit reached!
% 36.03/5.53 % (3585822)------------------------------
% 36.03/5.53 % (3585822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.03/5.53 % (3585822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.03/5.53 % (3585822)CaDiCaL version: 2.1.3
% 36.03/5.53 % (3585822)Termination reason: Instruction limit
% 36.03/5.53 % (3585822)Termination phase: Saturation
% 36.03/5.53 % (3585822)Time elapsed: 0.047 s
% 36.03/5.53 % (3585822)Peak memory usage: 12 MB
% 36.03/5.53 % (3585822)Instructions burned: 72 (million)
% 36.03/5.53 % (3585824)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 36.03/5.53 % (3585824)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 36.03/5.53 % (3585824)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2134670531:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2951 on theBenchmark for (2951ds/100Mi)
% 36.03/5.53 % (3585816)Instruction limit reached!
% 36.03/5.53 % (3585816)------------------------------
% 36.03/5.53 % (3585816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.03/5.53 % (3585816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.03/5.53 % (3585816)CaDiCaL version: 2.1.3
% 36.03/5.53 % (3585816)Termination reason: Instruction limit
% 36.03/5.53 % (3585816)Termination phase: Saturation
% 36.03/5.53 % (3585816)Time elapsed: 0.334 s
% 36.03/5.53 % (3585816)Peak memory usage: 13 MB
% 36.03/5.53 % (3585816)Instructions burned: 847 (million)
% 36.03/5.53 % (3585826)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 36.03/5.53 % (3585824)Instruction limit reached!
% 36.03/5.53 % (3585824)------------------------------
% 36.03/5.53 % (3585824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.03/5.53 % (3585824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.03/5.53 % (3585824)CaDiCaL version: 2.1.3
% 36.03/5.53 % (3585824)Termination reason: Instruction limit
% 36.03/5.53 % (3585824)Termination phase: Saturation
% 36.03/5.53 % (3585824)Time elapsed: 0.085 s
% 36.03/5.53 % (3585824)Peak memory usage: 12 MB
% 36.03/5.53 % (3585824)Instructions burned: 100 (million)
% 36.03/5.53 % (3585826)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=1632094823:i=1352:add=on:aac=none:rtra=on_2951 on theBenchmark for (2951ds/1352Mi)
% 36.03/5.53 % (3585826)Refutation not found, incomplete strategy
% 36.03/5.53 % (3585826)------------------------------
% 36.03/5.53 % (3585826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.03/5.53 % (3585826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.03/5.53 % (3585826)CaDiCaL version: 2.1.3
% 36.03/5.53 % (3585826)Termination reason: Refutation not found, incomplete strategy
% 36.03/5.53 % (3585826)Time elapsed: 0.003 s
% 36.03/5.53 % (3585826)Peak memory usage: 11 MB
% 36.03/5.53 % (3585826)Instructions burned: 3 (million)
% 36.03/5.53 % (3585826)------------------------------
% 36.03/5.53 % (3585826)------------------------------
% 36.03/5.53 % (3585827)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=6061807:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2950 on theBenchmark for (2950ds/646Mi)
% 36.03/5.53 % (3585829)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=3496526089:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2950 on theBenchmark for (2950ds/1924Mi)
% 37.43/5.71 % (3585829)Refutation not found, incomplete strategy
% 37.43/5.71 % (3585829)------------------------------
% 37.43/5.71 % (3585829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.43/5.71 % (3585829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.43/5.71 % (3585829)CaDiCaL version: 2.1.3
% 37.43/5.71 % (3585829)Termination reason: Refutation not found, incomplete strategy
% 37.43/5.71 % (3585829)Time elapsed: 0.001 s
% 37.43/5.71 % (3585829)Peak memory usage: 11 MB
% 37.43/5.71 % (3585829)------------------------------
% 37.43/5.71 % (3585829)------------------------------
% 37.43/5.71 % (3585820)Instruction limit reached!
% 37.43/5.71 % (3585820)------------------------------
% 37.43/5.71 % (3585820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.43/5.71 % (3585820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.43/5.71 % (3585820)CaDiCaL version: 2.1.3
% 37.43/5.71 % (3585820)Termination reason: Instruction limit
% 37.43/5.71 % (3585820)Termination phase: Saturation
% 37.43/5.71 % (3585820)Time elapsed: 0.366 s
% 37.43/5.71 % (3585820)Peak memory usage: 14 MB
% 37.43/5.71 % (3585820)Instructions burned: 445 (million)
% 37.43/5.71 % (3585832)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=4243656205:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2950 on theBenchmark for (2950ds/984Mi)
% 37.43/5.71 % (3585832)Refutation not found, incomplete strategy
% 37.43/5.71 % (3585832)------------------------------
% 37.43/5.71 % (3585832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.43/5.71 % (3585832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.43/5.71 % (3585832)CaDiCaL version: 2.1.3
% 37.43/5.71 % (3585832)Termination reason: Refutation not found, incomplete strategy
% 37.43/5.71 % (3585832)Time elapsed: 0.001 s
% 37.43/5.71 % (3585832)Peak memory usage: 11 MB
% 37.43/5.71 % (3585832)Instructions burned: 1 (million)
% 37.43/5.71 % (3585832)------------------------------
% 37.43/5.71 % (3585832)------------------------------
% 37.43/5.71 % (3585833)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=3796017716:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2950 on theBenchmark for (2950ds/592Mi)
% 37.43/5.71 % (3585835)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=1089148077:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2950 on theBenchmark for (2950ds/872Mi)
% 37.43/5.71 % (3585835)Refutation not found, incomplete strategy
% 37.43/5.71 % (3585835)------------------------------
% 37.43/5.71 % (3585835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.43/5.71 % (3585835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.43/5.71 % (3585835)CaDiCaL version: 2.1.3
% 37.43/5.71 % (3585835)Termination reason: Refutation not found, incomplete strategy
% 37.43/5.71 % (3585835)Time elapsed: 0.001 s
% 37.43/5.71 % (3585835)Peak memory usage: 11 MB
% 37.43/5.71 % (3585835)------------------------------
% 37.43/5.71 % (3585835)------------------------------
% 37.43/5.71 % (3585838)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 37.43/5.71 % (3585815)Instruction limit reached!
% 37.43/5.71 % (3585815)------------------------------
% 37.43/5.71 % (3585815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.43/5.71 % (3585815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.43/5.71 % (3585815)CaDiCaL version: 2.1.3
% 37.43/5.71 % (3585815)Termination reason: Instruction limit
% 37.43/5.71 % (3585815)Termination phase: Saturation
% 37.43/5.71 % (3585815)Time elapsed: 0.488 s
% 37.43/5.71 % (3585815)Peak memory usage: 13 MB
% 37.43/5.71 % (3585815)Instructions burned: 606 (million)
% 37.43/5.71 % (3585838)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=145100563:i=999:add=on:rtra=on_2949 on theBenchmark for (2949ds/999Mi)
% 37.43/5.71 % (3585839)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 37.43/5.71 % (3585839)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=3869338102:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2949 on theBenchmark for (2949ds/244Mi)
% 40.62/6.16 % (3585839)Refutation not found, incomplete strategy
% 40.62/6.16 % (3585839)------------------------------
% 40.62/6.16 % (3585839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.62/6.16 % (3585839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.62/6.16 % (3585839)CaDiCaL version: 2.1.3
% 40.62/6.16 % (3585839)Termination reason: Refutation not found, incomplete strategy
% 40.62/6.16 % (3585839)Time elapsed: 0.002 s
% 40.62/6.16 % (3585839)Peak memory usage: 12 MB
% 40.62/6.16 % (3585839)Instructions burned: 2 (million)
% 40.62/6.16 % (3585839)------------------------------
% 40.62/6.16 % (3585839)------------------------------
% 40.62/6.16 % (3585842)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=957858721:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2949 on theBenchmark for (2949ds/113Mi)
% 40.62/6.16 % (3585842)Refutation not found, incomplete strategy
% 40.62/6.16 % (3585842)------------------------------
% 40.62/6.16 % (3585842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.62/6.16 % (3585842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.62/6.16 % (3585842)CaDiCaL version: 2.1.3
% 40.62/6.16 % (3585842)Termination reason: Refutation not found, incomplete strategy
% 40.62/6.16 % (3585842)Time elapsed: 0.002 s
% 40.62/6.16 % (3585842)Peak memory usage: 12 MB
% 40.62/6.16 % (3585842)Instructions burned: 1 (million)
% 40.62/6.16 % (3585842)------------------------------
% 40.62/6.16 % (3585842)------------------------------
% 40.62/6.16 % (3585844)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3272146298:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2948 on theBenchmark for (2948ds/7795Mi)
% 40.62/6.16 % (3585844)Refutation not found, incomplete strategy
% 40.62/6.16 % (3585844)------------------------------
% 40.62/6.16 % (3585844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.62/6.16 % (3585844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.62/6.16 % (3585844)CaDiCaL version: 2.1.3
% 40.62/6.16 % (3585844)Termination reason: Refutation not found, incomplete strategy
% 40.62/6.16 % (3585844)Time elapsed: 0.001 s
% 40.62/6.16 % (3585844)Peak memory usage: 12 MB
% 40.62/6.16 % (3585844)------------------------------
% 40.62/6.16 % (3585844)------------------------------
% 40.62/6.16 % (3585846)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3445404117:st=2:i=5026:sd=1:rtra=on:ss=axioms_2948 on theBenchmark for (2948ds/5026Mi)
% 40.62/6.16 % (3585846)Refutation not found, incomplete strategy
% 40.62/6.16 % (3585846)------------------------------
% 40.62/6.16 % (3585846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.62/6.16 % (3585846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.62/6.16 % (3585846)CaDiCaL version: 2.1.3
% 40.62/6.16 % (3585846)Termination reason: Refutation not found, incomplete strategy
% 40.62/6.16 % (3585846)Time elapsed: 0.001 s
% 40.62/6.16 % (3585846)Peak memory usage: 12 MB
% 40.62/6.16 % (3585846)------------------------------
% 40.62/6.16 % (3585846)------------------------------
% 40.62/6.16 % (3585848)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 40.62/6.16 % (3585848)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=1319027107:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2948 on theBenchmark for (2948ds/763Mi)
% 40.62/6.16 % (3585848)Refutation not found, incomplete strategy
% 40.62/6.16 % (3585848)------------------------------
% 40.62/6.16 % (3585848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.62/6.16 % (3585848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.62/6.16 % (3585848)CaDiCaL version: 2.1.3
% 40.62/6.16 % (3585848)Termination reason: Refutation not found, incomplete strategy
% 40.62/6.16 % (3585848)Time elapsed: 0.001 s
% 40.62/6.16 % (3585848)Peak memory usage: 11 MB
% 40.62/6.16 % (3585848)Instructions burned: 1 (million)
% 40.62/6.16 % (3585848)------------------------------
% 40.62/6.16 % (3585848)------------------------------
% 40.62/6.16 % (3585850)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3100813387:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2948 on theBenchmark for (2948ds/1144Mi)
% 40.62/6.16 % (3585850)Refutation not found, incomplete strategy
% 40.62/6.16 % (3585850)------------------------------
% 43.74/6.71 % (3585850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.74/6.71 % (3585850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.74/6.71 % (3585850)CaDiCaL version: 2.1.3
% 43.74/6.71 % (3585850)Termination reason: Refutation not found, incomplete strategy
% 43.74/6.71 % (3585850)Time elapsed: 0.001 s
% 43.74/6.71 % (3585850)Peak memory usage: 11 MB
% 43.74/6.71 % (3585850)------------------------------
% 43.74/6.71 % (3585850)------------------------------
% 43.74/6.71 % (3585833)Instruction limit reached!
% 43.74/6.71 % (3585833)------------------------------
% 43.74/6.71 % (3585833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.74/6.71 % (3585833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.74/6.71 % (3585833)CaDiCaL version: 2.1.3
% 43.74/6.71 % (3585833)Termination reason: Instruction limit
% 43.74/6.71 % (3585833)Termination phase: Saturation
% 43.74/6.71 % (3585833)Time elapsed: 0.236 s
% 43.74/6.71 % (3585833)Peak memory usage: 13 MB
% 43.74/6.71 % (3585833)Instructions burned: 593 (million)
% 43.74/6.71 % (3585852)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 43.74/6.71 % (3585852)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=2186080841:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2947 on theBenchmark for (2947ds/52Mi)
% 43.74/6.71 % (3585852)Instruction limit reached!
% 43.74/6.71 % (3585852)------------------------------
% 43.74/6.71 % (3585852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.74/6.71 % (3585852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.74/6.71 % (3585852)CaDiCaL version: 2.1.3
% 43.74/6.71 % (3585852)Termination reason: Instruction limit
% 43.74/6.71 % (3585852)Termination phase: Saturation
% 43.74/6.71 % (3585852)Time elapsed: 0.025 s
% 43.74/6.71 % (3585852)Peak memory usage: 12 MB
% 43.74/6.71 % (3585852)Instructions burned: 52 (million)
% 43.74/6.71 % (3585854)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=66255365:i=1724:fsr=off:rtra=on:fe=abstraction_2947 on theBenchmark for (2947ds/1724Mi)
% 43.74/6.71 % (3585858)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=1146190886:i=439:add=on:slsql=off:rtra=on:ntd=on_2947 on theBenchmark for (2947ds/439Mi)
% 43.74/6.71 % (3585827)Instruction limit reached!
% 43.74/6.71 % (3585827)------------------------------
% 43.74/6.71 % (3585827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.74/6.71 % (3585827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.74/6.71 % (3585827)CaDiCaL version: 2.1.3
% 43.74/6.71 % (3585827)Termination reason: Instruction limit
% 43.74/6.71 % (3585827)Termination phase: Saturation
% 43.74/6.71 % (3585827)Time elapsed: 0.388 s
% 43.74/6.71 % (3585827)Peak memory usage: 14 MB
% 43.74/6.71 % (3585827)Instructions burned: 646 (million)
% 43.74/6.71 % (3585860)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3839646965:i=6395:sd=1:rtra=on:ss=axioms_2946 on theBenchmark for (2946ds/6395Mi)
% 43.74/6.71 % (3585860)Refutation not found, incomplete strategy
% 43.74/6.71 % (3585860)------------------------------
% 43.74/6.71 % (3585860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.74/6.71 % (3585860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.74/6.71 % (3585860)CaDiCaL version: 2.1.3
% 43.74/6.71 % (3585860)Termination reason: Refutation not found, incomplete strategy
% 43.74/6.71 % (3585860)Time elapsed: 0.001 s
% 43.74/6.71 % (3585860)Peak memory usage: 11 MB
% 43.74/6.71 % (3585860)------------------------------
% 43.74/6.71 % (3585860)------------------------------
% 43.74/6.71 % (3585862)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 43.74/6.71 % (3585862)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=2053095603:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2946 on theBenchmark for (2946ds/6762Mi)
% 43.74/6.71 % (3585862)Refutation not found, incomplete strategy
% 43.74/6.71 % (3585862)------------------------------
% 43.74/6.71 % (3585862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.74/6.71 % (3585862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.95/6.89 % (3585862)CaDiCaL version: 2.1.3
% 44.95/6.89 % (3585862)Termination reason: Refutation not found, incomplete strategy
% 44.95/6.89 % (3585862)Time elapsed: 0.001 s
% 44.95/6.89 % (3585862)Peak memory usage: 11 MB
% 44.95/6.89 % (3585862)------------------------------
% 44.95/6.89 % (3585862)------------------------------
% 44.95/6.89 % (3585864)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 44.95/6.89 % (3585864)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=1214989496:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2946 on theBenchmark for (2946ds/376Mi)
% 44.95/6.89 % (3585858)Instruction limit reached!
% 44.95/6.89 % (3585858)------------------------------
% 44.95/6.89 % (3585858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.95/6.89 % (3585858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.95/6.89 % (3585858)CaDiCaL version: 2.1.3
% 44.95/6.89 % (3585858)Termination reason: Instruction limit
% 44.95/6.89 % (3585858)Termination phase: Saturation
% 44.95/6.89 % (3585858)Time elapsed: 0.139 s
% 44.95/6.89 % (3585858)Peak memory usage: 12 MB
% 44.95/6.89 % (3585858)Instructions burned: 440 (million)
% 44.95/6.89 % (3585867)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=1229667662:i=965:bd=all:ins=4:rtra=on_2945 on theBenchmark for (2945ds/965Mi)
% 44.95/6.89 % (3585864)Instruction limit reached!
% 44.95/6.89 % (3585864)------------------------------
% 44.95/6.89 % (3585864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.95/6.89 % (3585864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.95/6.89 % (3585864)CaDiCaL version: 2.1.3
% 44.95/6.89 % (3585864)Termination reason: Instruction limit
% 44.95/6.89 % (3585864)Termination phase: Saturation
% 44.95/6.89 % (3585864)Time elapsed: 0.306 s
% 44.95/6.89 % (3585864)Peak memory usage: 14 MB
% 44.95/6.89 % (3585864)Instructions burned: 377 (million)
% 44.95/6.89 % (3585872)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2439540357:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2942 on theBenchmark for (2942ds/5013Mi)
% 44.95/6.89 % (3585872)Refutation not found, incomplete strategy
% 44.95/6.89 % (3585872)------------------------------
% 44.95/6.89 % (3585872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.95/6.89 % (3585872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.95/6.89 % (3585872)CaDiCaL version: 2.1.3
% 44.95/6.89 % (3585872)Termination reason: Refutation not found, incomplete strategy
% 44.95/6.89 % (3585872)Time elapsed: 0.001 s
% 44.95/6.89 % (3585872)Peak memory usage: 11 MB
% 44.95/6.89 % (3585872)------------------------------
% 44.95/6.89 % (3585872)------------------------------
% 44.95/6.89 % (3585874)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=715673933:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2942 on theBenchmark for (2942ds/1583Mi)
% 44.95/6.89 % (3585838)Instruction limit reached!
% 44.95/6.89 % (3585838)------------------------------
% 44.95/6.89 % (3585838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.95/6.89 % (3585838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.95/6.89 % (3585838)CaDiCaL version: 2.1.3
% 44.95/6.89 % (3585838)Termination reason: Instruction limit
% 44.95/6.89 % (3585838)Termination phase: Saturation
% 44.95/6.89 % (3585838)Time elapsed: 0.764 s
% 44.95/6.89 % (3585838)Peak memory usage: 12 MB
% 44.95/6.89 % (3585838)Instructions burned: 1000 (million)
% 44.95/6.89 % (3585876)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 44.95/6.89 % (3585876)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 44.95/6.89 % (3585876)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
% 44.95/6.89 % (3585876)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 44.95/6.89 % (3585876)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=422924717: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_2941 on theBenchmark for (2941ds/1774Mi)
% 48.06/7.20 % (3585876)Refutation not found, incomplete strategy
% 48.06/7.20 % (3585876)------------------------------
% 48.06/7.20 % (3585876)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.06/7.20 % (3585876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.06/7.20 % (3585876)CaDiCaL version: 2.1.3
% 48.06/7.20 % (3585876)Termination reason: Refutation not found, incomplete strategy
% 48.06/7.20 % (3585876)Time elapsed: 0.001 s
% 48.06/7.20 % (3585876)Peak memory usage: 11 MB
% 48.06/7.20 % (3585876)------------------------------
% 48.06/7.20 % (3585876)------------------------------
% 48.06/7.20 % (3585878)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3364312879:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2941 on theBenchmark for (2941ds/515Mi)
% 48.06/7.20 % (3585878)Refutation not found, incomplete strategy
% 48.06/7.20 % (3585878)------------------------------
% 48.06/7.20 % (3585878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.06/7.20 % (3585878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.06/7.20 % (3585878)CaDiCaL version: 2.1.3
% 48.06/7.20 % (3585878)Termination reason: Refutation not found, incomplete strategy
% 48.06/7.20 % (3585878)Time elapsed: 0.001 s
% 48.06/7.20 % (3585878)Peak memory usage: 12 MB
% 48.06/7.20 % (3585878)------------------------------
% 48.06/7.20 % (3585878)------------------------------
% 48.06/7.20 % (3585880)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
% 48.06/7.20 % (3585880)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=1113953655:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2941 on theBenchmark for (2941ds/1297Mi)
% 48.06/7.20 % (3585867)Instruction limit reached!
% 48.06/7.20 % (3585867)------------------------------
% 48.06/7.20 % (3585867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.06/7.20 % (3585867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.06/7.20 % (3585867)CaDiCaL version: 2.1.3
% 48.06/7.20 % (3585867)Termination reason: Instruction limit
% 48.06/7.20 % (3585867)Termination phase: Saturation
% 48.06/7.20 % (3585867)Time elapsed: 0.706 s
% 48.06/7.20 % (3585867)Peak memory usage: 15 MB
% 48.06/7.20 % (3585867)Instructions burned: 966 (million)
% 48.06/7.20 % (3585884)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=3685057548:s2a=on:i=611:rtra=on:gsp=on_2938 on theBenchmark for (2938ds/611Mi)
% 48.06/7.20 % (3585884)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 48.06/7.20 % (3585854)Instruction limit reached!
% 48.06/7.20 % (3585854)------------------------------
% 48.06/7.20 % (3585854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.06/7.20 % (3585854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.06/7.20 % (3585854)CaDiCaL version: 2.1.3
% 48.06/7.20 % (3585854)Termination reason: Instruction limit
% 48.06/7.20 % (3585854)Termination phase: Saturation
% 48.06/7.20 % (3585854)Time elapsed: 1.079 s
% 48.06/7.20 % (3585854)Peak memory usage: 13 MB
% 48.06/7.20 % (3585854)Instructions burned: 1725 (million)
% 48.06/7.20 % (3585890)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 48.06/7.20 % (3585890)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3597593603:i=72:bd=all:rtra=on_2936 on theBenchmark for (2936ds/72Mi)
% 48.06/7.20 % (3585890)Refutation not found, incomplete strategy
% 48.06/7.20 % (3585890)------------------------------
% 48.06/7.20 % (3585890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 48.06/7.20 % (3585890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.06/7.20 % (3585890)CaDiCaL version: 2.1.3
% 48.06/7.20 % (3585890)Termination reason: Refutation not found, incomplete strategy
% 48.06/7.20 % (3585890)Time elapsed: 0.003 s
% 48.06/7.20 % (3585890)Peak memory usage: 12 MB
% 48.06/7.20 % (3585890)Instructions burned: 1 (million)
% 48.06/7.20 % (3585890)------------------------------
% 48.06/7.20 % (3585890)------------------------------
% 48.06/7.20 % (3585874)Instruction limit reached!
% 50.36/7.76 % (3585874)------------------------------
% 50.36/7.76 % (3585874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.36/7.76 % (3585874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.36/7.76 % (3585874)CaDiCaL version: 2.1.3
% 50.36/7.76 % (3585874)Termination reason: Instruction limit
% 50.36/7.76 % (3585874)Termination phase: Saturation
% 50.36/7.76 % (3585874)Time elapsed: 0.633 s
% 50.36/7.76 % (3585874)Peak memory usage: 13 MB
% 50.36/7.76 % (3585874)Instructions burned: 1585 (million)
% 50.36/7.76 % (3585893)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1175704178:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2936 on theBenchmark for (2936ds/6209Mi)
% 50.36/7.76 % (3585893)Refutation not found, incomplete strategy
% 50.36/7.76 % (3585893)------------------------------
% 50.36/7.76 % (3585893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.36/7.76 % (3585893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.36/7.76 % (3585893)CaDiCaL version: 2.1.3
% 50.36/7.76 % (3585893)Termination reason: Refutation not found, incomplete strategy
% 50.36/7.76 % (3585893)Time elapsed: 0.0000 s
% 50.36/7.76 % (3585893)Peak memory usage: 11 MB
% 50.36/7.76 % (3585893)------------------------------
% 50.36/7.76 % (3585893)------------------------------
% 50.36/7.76 % (3585892)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=1346809080:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2936 on theBenchmark for (2936ds/6580Mi)
% 50.36/7.76 % (3585884)Instruction limit reached!
% 50.36/7.76 % (3585884)------------------------------
% 50.36/7.76 % (3585884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.36/7.76 % (3585884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.36/7.76 % (3585884)CaDiCaL version: 2.1.3
% 50.36/7.76 % (3585884)Termination reason: Instruction limit
% 50.36/7.76 % (3585884)Termination phase: Saturation
% 50.36/7.76 % (3585884)Time elapsed: 0.231 s
% 50.36/7.76 % (3585884)Peak memory usage: 12 MB
% 50.36/7.76 % (3585884)Instructions burned: 614 (million)
% 50.36/7.76 % (3585895)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=3159969642:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2935 on theBenchmark for (2935ds/1003Mi)
% 50.36/7.76 % (3585898)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 50.36/7.76 % (3585898)ott+1002_16_sil=128000:si=on:random_seed=3324380833:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2935 on theBenchmark for (2935ds/409Mi)
% 50.36/7.76 % (3585603)Instruction limit reached!
% 50.36/7.76 % (3585603)------------------------------
% 50.36/7.76 % (3585603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.36/7.76 % (3585603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.36/7.76 % (3585603)CaDiCaL version: 2.1.3
% 50.36/7.76 % (3585603)Termination reason: Instruction limit
% 50.36/7.76 % (3585603)Termination phase: Saturation
% 50.36/7.76 % (3585603)Time elapsed: 5.568 s
% 50.36/7.76 % (3585603)Peak memory usage: 17 MB
% 50.36/7.76 % (3585603)Instructions burned: 9841 (million)
% 50.36/7.76 % (3585902)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=2133402419:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2934 on theBenchmark for (2934ds/403Mi)
% 50.36/7.76 % (3585902)Refutation not found, incomplete strategy
% 50.36/7.76 % (3585902)------------------------------
% 50.36/7.76 % (3585902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 50.36/7.76 % (3585902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.36/7.76 % (3585902)CaDiCaL version: 2.1.3
% 50.36/7.76 % (3585902)Termination reason: Refutation not found, incomplete strategy
% 50.36/7.76 % (3585902)Time elapsed: 0.001 s
% 50.36/7.76 % (3585902)Peak memory usage: 11 MB
% 50.36/7.76 % (3585902)Instructions burned: 1 (million)
% 50.36/7.76 % (3585902)------------------------------
% 50.36/7.76 % (3585902)------------------------------
% 50.36/7.76 % (3585904)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=1274210581:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2934 on theBenchmark for (2934ds/6843Mi)
% 50.36/7.76 % (3585904)Refutation not found, incomplete strategy
% 54.48/8.11 % (3585904)------------------------------
% 54.48/8.11 % (3585904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.48/8.11 % (3585904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.48/8.11 % (3585904)CaDiCaL version: 2.1.3
% 54.48/8.11 % (3585904)Termination reason: Refutation not found, incomplete strategy
% 54.48/8.11 % (3585904)Time elapsed: 0.001 s
% 54.48/8.11 % (3585904)Peak memory usage: 11 MB
% 54.48/8.11 % (3585904)Instructions burned: 1 (million)
% 54.48/8.11 % (3585904)------------------------------
% 54.48/8.11 % (3585904)------------------------------
% 54.48/8.11 % (3585906)lrs+10_2:1_si=on:random_seed=3680835517:s2a=on:i=506:rtra=on:fe=abstraction_2934 on theBenchmark for (2934ds/506Mi)
% 54.48/8.11 % (3585898)Instruction limit reached!
% 54.48/8.11 % (3585898)------------------------------
% 54.48/8.11 % (3585898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.48/8.11 % (3585898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.48/8.11 % (3585898)CaDiCaL version: 2.1.3
% 54.48/8.11 % (3585898)Termination reason: Instruction limit
% 54.48/8.11 % (3585898)Termination phase: Saturation
% 54.48/8.11 % (3585898)Time elapsed: 0.261 s
% 54.48/8.11 % (3585898)Peak memory usage: 12 MB
% 54.48/8.11 % (3585898)Instructions burned: 409 (million)
% 54.48/8.11 % (3585908)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=2161785841:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2932 on theBenchmark for (2932ds/888Mi)
% 54.48/8.11 % (3585895)Instruction limit reached!
% 54.48/8.11 % (3585895)------------------------------
% 54.48/8.11 % (3585895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.48/8.11 % (3585895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.48/8.11 % (3585895)CaDiCaL version: 2.1.3
% 54.48/8.11 % (3585895)Termination reason: Instruction limit
% 54.48/8.11 % (3585895)Termination phase: Saturation
% 54.48/8.11 % (3585895)Time elapsed: 0.372 s
% 54.48/8.11 % (3585895)Peak memory usage: 13 MB
% 54.48/8.11 % (3585895)Instructions burned: 1004 (million)
% 54.48/8.11 % (3585910)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 54.48/8.11 % (3585910)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=3555474552:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2931 on theBenchmark for (2931ds/416Mi)
% 54.48/8.11 % (3585880)Instruction limit reached!
% 54.48/8.11 % (3585880)------------------------------
% 54.48/8.11 % (3585880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.48/8.11 % (3585880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.48/8.11 % (3585880)CaDiCaL version: 2.1.3
% 54.48/8.11 % (3585880)Termination reason: Instruction limit
% 54.48/8.11 % (3585880)Termination phase: Saturation
% 54.48/8.11 % (3585880)Time elapsed: 0.956 s
% 54.48/8.11 % (3585880)Peak memory usage: 13 MB
% 54.48/8.11 % (3585880)Instructions burned: 1297 (million)
% 54.48/8.11 % (3585912)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=2013591966: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_2931 on theBenchmark for (2931ds/13534Mi)
% 54.48/8.11 % (3585912)Refutation not found, incomplete strategy
% 54.48/8.11 % (3585912)------------------------------
% 54.48/8.11 % (3585912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 54.48/8.11 % (3585912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.48/8.11 % (3585912)CaDiCaL version: 2.1.3
% 54.48/8.11 % (3585912)Termination reason: Refutation not found, incomplete strategy
% 54.48/8.11 % (3585912)Time elapsed: 0.001 s
% 54.48/8.11 % (3585912)Peak memory usage: 11 MB
% 54.48/8.11 % (3585912)------------------------------
% 54.48/8.11 % (3585912)------------------------------
% 54.48/8.11 % (3585914)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 54.48/8.11 % (3585914)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=4036381568:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2931 on theBenchmark for (2931ds/206Mi)
% 58.00/8.80 % (3585914)Instruction limit reached!
% 58.00/8.80 % (3585914)------------------------------
% 58.00/8.80 % (3585914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.00/8.80 % (3585914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.00/8.80 % (3585914)CaDiCaL version: 2.1.3
% 58.00/8.80 % (3585914)Termination reason: Instruction limit
% 58.00/8.80 % (3585914)Termination phase: Saturation
% 58.00/8.80 % (3585914)Time elapsed: 0.074 s
% 58.00/8.80 % (3585914)Peak memory usage: 12 MB
% 58.00/8.80 % (3585914)Instructions burned: 208 (million)
% 58.00/8.80 % (3585916)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=3120590343:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2930 on theBenchmark for (2930ds/2295Mi)
% 58.00/8.80 % (3585906)Instruction limit reached!
% 58.00/8.80 % (3585906)------------------------------
% 58.00/8.80 % (3585906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.00/8.80 % (3585906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.00/8.80 % (3585906)CaDiCaL version: 2.1.3
% 58.00/8.80 % (3585906)Termination reason: Instruction limit
% 58.00/8.80 % (3585906)Termination phase: Saturation
% 58.00/8.80 % (3585906)Time elapsed: 0.400 s
% 58.00/8.80 % (3585906)Peak memory usage: 13 MB
% 58.00/8.80 % (3585906)Instructions burned: 506 (million)
% 58.00/8.80 % (3585918)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=1656661968:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2930 on theBenchmark for (2930ds/637Mi)
% 58.00/8.80 % (3585910)Instruction limit reached!
% 58.00/8.80 % (3585910)------------------------------
% 58.00/8.80 % (3585910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.00/8.80 % (3585910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.00/8.80 % (3585910)CaDiCaL version: 2.1.3
% 58.00/8.80 % (3585910)Termination reason: Instruction limit
% 58.00/8.80 % (3585910)Termination phase: Saturation
% 58.00/8.80 % (3585910)Time elapsed: 0.322 s
% 58.00/8.80 % (3585910)Peak memory usage: 14 MB
% 58.00/8.80 % (3585910)Instructions burned: 416 (million)
% 58.00/8.80 % (3585920)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=976338550:hsq=on:i=667:rtra=on:ixr=off_2928 on theBenchmark for (2928ds/667Mi)
% 58.00/8.80 % (3585790)Instruction limit reached!
% 58.00/8.80 % (3585790)------------------------------
% 58.00/8.80 % (3585790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.00/8.80 % (3585790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.00/8.80 % (3585790)CaDiCaL version: 2.1.3
% 58.00/8.80 % (3585790)Termination reason: Instruction limit
% 58.00/8.80 % (3585790)Termination phase: Saturation
% 58.00/8.80 % (3585790)Time elapsed: 3.339 s
% 58.00/8.80 % (3585790)Peak memory usage: 16 MB
% 58.00/8.80 % (3585790)Instructions burned: 4387 (million)
% 58.00/8.80 % (3585922)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=3329082532:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2927 on theBenchmark for (2927ds/1801Mi)
% 58.00/8.80 % (3585908)Instruction limit reached!
% 58.00/8.80 % (3585908)------------------------------
% 58.00/8.80 % (3585908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.00/8.80 % (3585908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.00/8.80 % (3585908)CaDiCaL version: 2.1.3
% 58.00/8.80 % (3585908)Termination reason: Instruction limit
% 58.00/8.80 % (3585908)Termination phase: Saturation
% 58.00/8.80 % (3585908)Time elapsed: 0.680 s
% 58.00/8.80 % (3585908)Peak memory usage: 13 MB
% 58.00/8.80 % (3585908)Instructions burned: 888 (million)
% 58.00/8.80 % (3585926)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=1696944667:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2925 on theBenchmark for (2925ds/555Mi)
% 58.00/8.80 % (3585918)Instruction limit reached!
% 58.00/8.80 % (3585918)------------------------------
% 58.00/8.80 % (3585918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.00/8.80 % (3585918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.00/8.80 % (3585918)CaDiCaL version: 2.1.3
% 58.00/8.80 % (3585918)Termination reason: Instruction limit
% 58.00/8.80 % (3585918)Termination phase: Saturation
% 58.00/8.80 % (3585918)Time elapsed: 0.420 s
% 58.00/8.80 % (3585918)Peak memory usage: 13 MB
% 64.82/9.59 % (3585918)Instructions burned: 638 (million)
% 64.82/9.59 % (3585928)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=1643166963:i=88:s2at=3:nm=2:rtra=on:rawr=on_2925 on theBenchmark for (2925ds/88Mi)
% 64.82/9.59 % (3585928)Instruction limit reached!
% 64.82/9.59 % (3585928)------------------------------
% 64.82/9.59 % (3585928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.82/9.59 % (3585928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.82/9.59 % (3585928)CaDiCaL version: 2.1.3
% 64.82/9.59 % (3585928)Termination reason: Instruction limit
% 64.82/9.59 % (3585928)Termination phase: Saturation
% 64.82/9.59 % (3585928)Time elapsed: 0.069 s
% 64.82/9.59 % (3585928)Peak memory usage: 12 MB
% 64.82/9.59 % (3585928)Instructions burned: 89 (million)
% 64.82/9.59 % (3585930)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3405445762:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2924 on theBenchmark for (2924ds/280Mi)
% 64.82/9.59 % (3585920)Instruction limit reached!
% 64.82/9.59 % (3585920)------------------------------
% 64.82/9.59 % (3585920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.82/9.59 % (3585920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.82/9.59 % (3585920)CaDiCaL version: 2.1.3
% 64.82/9.59 % (3585920)Termination reason: Instruction limit
% 64.82/9.59 % (3585920)Termination phase: Saturation
% 64.82/9.59 % (3585920)Time elapsed: 0.441 s
% 64.82/9.59 % (3585920)Peak memory usage: 12 MB
% 64.82/9.59 % (3585920)Instructions burned: 668 (million)
% 64.82/9.59 % (3585934)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=2074530176:s2a=on:i=3166:bd=preordered:rtra=on_2923 on theBenchmark for (2923ds/3166Mi)
% 64.82/9.59 % (3585916)Instruction limit reached!
% 64.82/9.59 % (3585916)------------------------------
% 64.82/9.59 % (3585916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.82/9.59 % (3585916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.82/9.59 % (3585916)CaDiCaL version: 2.1.3
% 64.82/9.59 % (3585916)Termination reason: Instruction limit
% 64.82/9.59 % (3585916)Termination phase: Saturation
% 64.82/9.59 % (3585916)Time elapsed: 0.778 s
% 64.82/9.59 % (3585916)Peak memory usage: 13 MB
% 64.82/9.59 % (3585916)Instructions burned: 2295 (million)
% 64.82/9.59 % (3585936)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 64.82/9.59 % (3585936)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=3143845143:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2922 on theBenchmark for (2922ds/4201Mi)
% 64.82/9.59 % (3585930)Instruction limit reached!
% 64.82/9.59 % (3585930)------------------------------
% 64.82/9.59 % (3585930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.82/9.59 % (3585930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.82/9.59 % (3585930)CaDiCaL version: 2.1.3
% 64.82/9.59 % (3585930)Termination reason: Instruction limit
% 64.82/9.59 % (3585930)Termination phase: Saturation
% 64.82/9.59 % (3585930)Time elapsed: 0.200 s
% 64.82/9.59 % (3585930)Peak memory usage: 13 MB
% 64.82/9.59 % (3585930)Instructions burned: 280 (million)
% 64.82/9.59 % (3585936)Refutation not found, incomplete strategy
% 64.82/9.59 % (3585936)------------------------------
% 64.82/9.59 % (3585936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 64.82/9.59 % (3585936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 64.82/9.59 % (3585936)CaDiCaL version: 2.1.3
% 64.82/9.59 % (3585936)Termination reason: Refutation not found, incomplete strategy
% 64.82/9.59 % (3585936)Time elapsed: 0.002 s
% 64.82/9.59 % (3585936)Peak memory usage: 11 MB
% 64.82/9.59 % (3585936)Instructions burned: 3 (million)
% 64.82/9.59 % (3585936)------------------------------
% 64.82/9.59 % (3585936)------------------------------
% 64.82/9.59 % (3585939)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 64.82/9.59 % (3585939)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=2227671101:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2922 on theBenchmark for (2922ds/452Mi)
% 70.19/10.38 % (3585938)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4192829631:i=2352:rtra=on:ixr=off_2922 on theBenchmark for (2922ds/2352Mi)
% 70.19/10.38 % (3585939)Refutation not found, incomplete strategy
% 70.19/10.38 % (3585939)------------------------------
% 70.19/10.38 % (3585939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.19/10.38 % (3585939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.19/10.38 % (3585939)CaDiCaL version: 2.1.3
% 70.19/10.38 % (3585939)Termination reason: Refutation not found, incomplete strategy
% 70.19/10.38 % (3585939)Time elapsed: 0.001 s
% 70.19/10.38 % (3585939)Peak memory usage: 11 MB
% 70.19/10.38 % (3585939)Instructions burned: 1 (million)
% 70.19/10.38 % (3585939)------------------------------
% 70.19/10.38 % (3585939)------------------------------
% 70.19/10.38 % (3585942)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 70.19/10.38 % (3585942)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 70.19/10.38 % (3585942)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=1140333861:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2922 on theBenchmark for (2922ds/483Mi)
% 70.19/10.38 % (3585942)Refutation not found, incomplete strategy
% 70.19/10.38 % (3585942)------------------------------
% 70.19/10.38 % (3585942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.19/10.38 % (3585942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.19/10.38 % (3585942)CaDiCaL version: 2.1.3
% 70.19/10.38 % (3585942)Termination reason: Refutation not found, incomplete strategy
% 70.19/10.38 % (3585942)Time elapsed: 0.001 s
% 70.19/10.38 % (3585942)Peak memory usage: 12 MB
% 70.19/10.38 % (3585942)------------------------------
% 70.19/10.38 % (3585942)------------------------------
% 70.19/10.38 % (3585944)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=4222553383:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2921 on theBenchmark for (2921ds/168Mi)
% 70.19/10.38 % (3585926)Instruction limit reached!
% 70.19/10.38 % (3585926)------------------------------
% 70.19/10.38 % (3585926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.19/10.38 % (3585926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.19/10.38 % (3585926)CaDiCaL version: 2.1.3
% 70.19/10.38 % (3585926)Termination reason: Instruction limit
% 70.19/10.38 % (3585926)Termination phase: Saturation
% 70.19/10.38 % (3585926)Time elapsed: 0.402 s
% 70.19/10.38 % (3585926)Peak memory usage: 12 MB
% 70.19/10.38 % (3585926)Instructions burned: 555 (million)
% 70.19/10.38 % (3585946)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=2115913235: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_2921 on theBenchmark for (2921ds/17240Mi)
% 70.19/10.38 % (3585944)Instruction limit reached!
% 70.19/10.38 % (3585944)------------------------------
% 70.19/10.38 % (3585944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.19/10.38 % (3585944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.19/10.38 % (3585944)CaDiCaL version: 2.1.3
% 70.19/10.38 % (3585944)Termination reason: Instruction limit
% 70.19/10.38 % (3585944)Termination phase: Saturation
% 70.19/10.38 % (3585944)Time elapsed: 0.072 s
% 70.19/10.38 % (3585944)Peak memory usage: 12 MB
% 70.19/10.38 % (3585944)Instructions burned: 170 (million)
% 70.19/10.38 % (3585948)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=2810247053:i=2022:fsr=off:rtra=on:ixr=off_2920 on theBenchmark for (2920ds/2022Mi)
% 70.19/10.38 % (3585756)Instruction limit reached!
% 70.19/10.38 % (3585756)------------------------------
% 70.19/10.38 % (3585756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.19/10.38 % (3585756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.19/10.38 % (3585756)CaDiCaL version: 2.1.3
% 70.19/10.38 % (3585756)Termination reason: Instruction limit
% 70.19/10.38 % (3585756)Termination phase: Saturation
% 70.19/10.38 % (3585756)Time elapsed: 5.334 s
% 70.19/10.38 % (3585756)Peak memory usage: 23 MB
% 70.83/10.46 % (3585756)Instructions burned: 6361 (million)
% 70.83/10.46 % (3585954)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=3214139575:i=2274:kws=precedence:bd=preordered:av=off:rtra=on_2915 on theBenchmark for (2915ds/2274Mi)
% 70.83/10.46 % (3585922)Instruction limit reached!
% 70.83/10.46 % (3585922)------------------------------
% 70.83/10.46 % (3585922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.83/10.46 % (3585922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.83/10.46 % (3585922)CaDiCaL version: 2.1.3
% 70.83/10.46 % (3585922)Termination reason: Instruction limit
% 70.83/10.46 % (3585922)Termination phase: Saturation
% 70.83/10.46 % (3585922)Time elapsed: 1.424 s
% 70.83/10.46 % (3585922)Peak memory usage: 19 MB
% 70.83/10.46 % (3585922)Instructions burned: 1801 (million)
% 70.83/10.46 % (3585956)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1824049953:i=555:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2912 on theBenchmark for (2912ds/555Mi)
% 70.83/10.46 % (3585956)Instruction limit reached!
% 70.83/10.46 % (3585956)------------------------------
% 70.83/10.46 % (3585956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.83/10.46 % (3585956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.83/10.46 % (3585956)CaDiCaL version: 2.1.3
% 70.83/10.46 % (3585956)Termination reason: Instruction limit
% 70.83/10.46 % (3585956)Termination phase: Saturation
% 70.83/10.46 % (3585956)Time elapsed: 0.366 s
% 70.83/10.46 % (3585956)Peak memory usage: 13 MB
% 70.83/10.46 % (3585956)Instructions burned: 555 (million)
% 70.83/10.46 % (3585958)dis+1002_4_sil=128000:si=on:lma=off:uwa=off:fd=off:sac=on:random_seed=4140957894:avsq=on:i=2220:rtra=on_2908 on theBenchmark for (2908ds/2220Mi)
% 70.83/10.46 % (3585938)Instruction limit reached!
% 70.83/10.46 % (3585938)------------------------------
% 70.83/10.46 % (3585938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.83/10.46 % (3585938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.83/10.46 % (3585938)CaDiCaL version: 2.1.3
% 70.83/10.46 % (3585938)Termination reason: Instruction limit
% 70.83/10.46 % (3585938)Termination phase: Saturation
% 70.83/10.46 % (3585938)Time elapsed: 1.393 s
% 70.83/10.46 % (3585938)Peak memory usage: 13 MB
% 70.83/10.46 % (3585938)Instructions burned: 2352 (million)
% 70.83/10.46 % (3585960)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=1924493595:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2908 on theBenchmark for (2908ds/715Mi)
% 70.83/10.46 % (3585960)Refutation not found, incomplete strategy
% 70.83/10.46 % (3585960)------------------------------
% 70.83/10.46 % (3585960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.83/10.46 % (3585960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.83/10.46 % (3585960)CaDiCaL version: 2.1.3
% 70.83/10.46 % (3585960)Termination reason: Refutation not found, incomplete strategy
% 70.83/10.46 % (3585960)Time elapsed: 0.002 s
% 70.83/10.46 % (3585960)Peak memory usage: 11 MB
% 70.83/10.46 % (3585960)Instructions burned: 2 (million)
% 70.83/10.46 % (3585960)------------------------------
% 70.83/10.46 % (3585960)------------------------------
% 70.83/10.46 % (3585962)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
% 70.83/10.46 % (3585962)lrs+1010_4:7_anc=none:tgt=ground:cnfonf=lazy_gen:sas=cadical:si=on:uwa=interpreted_only:s2agt=60:sac=on:random_seed=1902156755:i=1979:nm=2:rtra=on:amm=off:ss=axioms:ntd=on_2907 on theBenchmark for (2907ds/1979Mi)
% 70.83/10.46 % (3585962)Refutation not found, incomplete strategy
% 70.83/10.46 % (3585962)------------------------------
% 70.83/10.46 % (3585962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.83/10.46 % (3585962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.83/10.46 % (3585962)CaDiCaL version: 2.1.3
% 70.83/10.46 % (3585962)Termination reason: Refutation not found, incomplete strategy
% 70.83/10.46 % (3585962)Time elapsed: 0.001 s
% 70.83/10.46 % (3585962)Peak memory usage: 12 MB
% 70.83/10.46 % (3585962)Instructions burned: 1 (million)
% 70.83/10.46 % (3585962)------------------------------
% 70.83/10.46 % (3585962)------------------------------
% 70.83/10.46 % (3585964)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=835448921:s2a=on:i=28911:sd=1:rtra=on:ss=axioms:sgt=128_2907 on theBenchmark for (2907ds/28911Mi)
% 76.85/11.29 % (3585964)Refutation not found, incomplete strategy
% 76.85/11.29 % (3585964)------------------------------
% 76.85/11.29 % (3585964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.85/11.29 % (3585964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.85/11.29 % (3585964)CaDiCaL version: 2.1.3
% 76.85/11.29 % (3585964)Termination reason: Refutation not found, incomplete strategy
% 76.85/11.29 % (3585964)Time elapsed: 0.001 s
% 76.85/11.29 % (3585964)Peak memory usage: 12 MB
% 76.85/11.29 % (3585964)------------------------------
% 76.85/11.29 % (3585964)------------------------------
% 76.85/11.29 % (3585966)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=3388829081:hsq=on:cond=on:i=414:add=on:bd=all:rtra=on:c=on_2907 on theBenchmark for (2907ds/414Mi)
% 76.85/11.29 % (3585966)Refutation not found, incomplete strategy
% 76.85/11.29 % (3585966)------------------------------
% 76.85/11.29 % (3585966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.85/11.29 % (3585966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.85/11.29 % (3585966)CaDiCaL version: 2.1.3
% 76.85/11.29 % (3585966)Termination reason: Refutation not found, incomplete strategy
% 76.85/11.29 % (3585966)Time elapsed: 0.002 s
% 76.85/11.29 % (3585966)Peak memory usage: 12 MB
% 76.85/11.29 % (3585966)Instructions burned: 3 (million)
% 76.85/11.29 % (3585966)------------------------------
% 76.85/11.29 % (3585966)------------------------------
% 76.85/11.29 % (3585968)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3179195253:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2906 on theBenchmark for (2906ds/429Mi)
% 76.85/11.29 % (3585948)Instruction limit reached!
% 76.85/11.29 % (3585948)------------------------------
% 76.85/11.29 % (3585948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.85/11.29 % (3585948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.85/11.29 % (3585948)CaDiCaL version: 2.1.3
% 76.85/11.29 % (3585948)Termination reason: Instruction limit
% 76.85/11.29 % (3585948)Termination phase: Saturation
% 76.85/11.29 % (3585948)Time elapsed: 1.528 s
% 76.85/11.29 % (3585948)Peak memory usage: 13 MB
% 76.85/11.29 % (3585948)Instructions burned: 2022 (million)
% 76.85/11.29 % (3585970)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 76.85/11.29 % (3585970)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=721208822:lrd=on:i=841:nm=0:rtra=on_2905 on theBenchmark for (2905ds/841Mi)
% 76.85/11.29 % (3585968)Instruction limit reached!
% 76.85/11.29 % (3585968)------------------------------
% 76.85/11.29 % (3585968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.85/11.29 % (3585968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.85/11.29 % (3585968)CaDiCaL version: 2.1.3
% 76.85/11.29 % (3585968)Termination reason: Instruction limit
% 76.85/11.29 % (3585968)Termination phase: Saturation
% 76.85/11.29 % (3585968)Time elapsed: 0.346 s
% 76.85/11.29 % (3585968)Peak memory usage: 12 MB
% 76.85/11.29 % (3585968)Instructions burned: 429 (million)
% 76.85/11.29 % (3585972)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1550107448:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2903 on theBenchmark for (2903ds/445Mi)
% 76.85/11.29 % (3585934)Instruction limit reached!
% 76.85/11.29 % (3585934)------------------------------
% 76.85/11.29 % (3585934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 76.85/11.29 % (3585934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.85/11.29 % (3585934)CaDiCaL version: 2.1.3
% 76.85/11.29 % (3585934)Termination reason: Instruction limit
% 76.85/11.29 % (3585934)Termination phase: Saturation
% 76.85/11.29 % (3585934)Time elapsed: 2.359 s
% 76.85/11.29 % (3585934)Peak memory usage: 14 MB
% 76.85/11.29 % (3585934)Instructions burned: 3167 (million)
% 76.85/11.29 % (3585974)lrs+1010_5:1_sil=128000:tgt=ground:si=on:sos=all:lwlo=on:random_seed=506953583:lrd=on:i=1324:kws=arity:bd=preordered:fsr=off:rtra=on_2899 on theBenchmark for (2899ds/1324Mi)
% 76.85/11.29 % (3585974)Refutation not found, incomplete strategy
% 76.85/11.29 % (3585974)------------------------------
% 76.85/11.29 % (3585974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.78/11.87 % (3585974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.78/11.87 % (3585974)CaDiCaL version: 2.1.3
% 80.78/11.87 % (3585974)Termination reason: Refutation not found, incomplete strategy
% 80.78/11.87 % (3585974)Time elapsed: 0.002 s
% 80.78/11.87 % (3585974)Peak memory usage: 11 MB
% 80.78/11.87 % (3585974)Instructions burned: 1 (million)
% 80.78/11.87 % (3585974)------------------------------
% 80.78/11.87 % (3585974)------------------------------
% 80.78/11.87 % (3585976)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=69314319:i=5401:kws=precedence:ep=RST:rtra=on:ss=axioms_2899 on theBenchmark for (2899ds/5401Mi)
% 80.78/11.87 % (3585976)Refutation not found, incomplete strategy
% 80.78/11.87 % (3585976)------------------------------
% 80.78/11.87 % (3585976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.78/11.87 % (3585976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.78/11.87 % (3585976)CaDiCaL version: 2.1.3
% 80.78/11.87 % (3585976)Termination reason: Refutation not found, incomplete strategy
% 80.78/11.87 % (3585976)Time elapsed: 0.001 s
% 80.78/11.87 % (3585976)Peak memory usage: 12 MB
% 80.78/11.87 % (3585976)------------------------------
% 80.78/11.87 % (3585976)------------------------------
% 80.78/11.87 % (3585972)Instruction limit reached!
% 80.78/11.87 % (3585972)------------------------------
% 80.78/11.87 % (3585972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.78/11.87 % (3585972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.78/11.87 % (3585972)CaDiCaL version: 2.1.3
% 80.78/11.87 % (3585972)Termination reason: Instruction limit
% 80.78/11.87 % (3585972)Termination phase: Saturation
% 80.78/11.87 % (3585972)Time elapsed: 0.372 s
% 80.78/11.87 % (3585972)Peak memory usage: 15 MB
% 80.78/11.87 % (3585972)Instructions burned: 449 (million)
% 80.78/11.87 % (3585954)Instruction limit reached!
% 80.78/11.87 % (3585954)------------------------------
% 80.78/11.87 % (3585954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.78/11.87 % (3585954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.78/11.87 % (3585954)CaDiCaL version: 2.1.3
% 80.78/11.87 % (3585954)Termination reason: Instruction limit
% 80.78/11.87 % (3585954)Termination phase: Saturation
% 80.78/11.87 % (3585954)Time elapsed: 1.598 s
% 80.78/11.87 % (3585954)Peak memory usage: 17 MB
% 80.78/11.87 % (3585954)Instructions burned: 2275 (million)
% 80.78/11.87 % (3585979)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2635357508:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2899 on theBenchmark for (2899ds/984Mi)
% 80.78/11.87 % (3585979)Refutation not found, incomplete strategy
% 80.78/11.87 % (3585979)------------------------------
% 80.78/11.87 % (3585979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.78/11.87 % (3585979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.78/11.87 % (3585979)CaDiCaL version: 2.1.3
% 80.78/11.87 % (3585979)Termination reason: Refutation not found, incomplete strategy
% 80.78/11.87 % (3585979)Time elapsed: 0.001 s
% 80.78/11.87 % (3585979)Peak memory usage: 12 MB
% 80.78/11.87 % (3585979)Instructions burned: 1 (million)
% 80.78/11.87 % (3585979)------------------------------
% 80.78/11.87 % (3585979)------------------------------
% 80.78/11.87 % (3585978)lrs+10_1_sil=128000:fde=none:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4036827696:s2a=on:i=4070:s2at=3:bd=all:nm=16:av=off:fsr=off:rtra=on_2899 on theBenchmark for (2899ds/4070Mi)
% 80.78/11.87 % (3585983)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=275914844:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2898 on theBenchmark for (2898ds/1144Mi)
% 80.78/11.87 % (3585983)Refutation not found, incomplete strategy
% 80.78/11.87 % (3585983)------------------------------
% 80.78/11.87 % (3585983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 80.78/11.87 % (3585983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.78/11.87 % (3585983)CaDiCaL version: 2.1.3
% 80.78/11.87 % (3585983)Termination reason: Refutation not found, incomplete strategy
% 80.78/11.87 % (3585983)Time elapsed: 0.001 s
% 80.78/11.87 % (3585983)Peak memory usage: 11 MB
% 80.78/11.87 % (3585983)------------------------------
% 80.78/11.87 % (3585983)------------------------------
% 80.78/11.87 % (3585970)Instruction limit reached!
% 80.78/11.87 % (3585970)------------------------------
% 80.78/11.87 % (3585970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.87/13.29 % (3585970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.87/13.29 % (3585970)CaDiCaL version: 2.1.3
% 90.87/13.29 % (3585970)Termination reason: Instruction limit
% 90.87/13.29 % (3585970)Termination phase: Saturation
% 90.87/13.29 % (3585970)Time elapsed: 0.643 s
% 90.87/13.29 % (3585970)Peak memory usage: 13 MB
% 90.87/13.29 % (3585970)Instructions burned: 842 (million)
% 90.87/13.29 % (3585981)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=3663678968:cts=off:i=112:fsr=off:rtra=on:fe=abstraction_2898 on theBenchmark for (2898ds/112Mi)
% 90.87/13.29 % (3585981)Refutation not found, incomplete strategy
% 90.87/13.29 % (3585981)------------------------------
% 90.87/13.29 % (3585981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.87/13.29 % (3585981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.87/13.29 % (3585981)CaDiCaL version: 2.1.3
% 90.87/13.29 % (3585981)Termination reason: Refutation not found, incomplete strategy
% 90.87/13.29 % (3585981)Time elapsed: 0.002 s
% 90.87/13.29 % (3585981)Peak memory usage: 11 MB
% 90.87/13.29 % (3585981)Instructions burned: 1 (million)
% 90.87/13.29 % (3585981)------------------------------
% 90.87/13.29 % (3585981)------------------------------
% 90.87/13.29 % (3585986)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=1283711666:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2898 on theBenchmark for (2898ds/693Mi)
% 90.87/13.29 % (3585985)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=3463938879:i=1352:add=off:kws=frequency:rtra=on:ntd=on_2898 on theBenchmark for (2898ds/1352Mi)
% 90.87/13.29 % (3585988)lrs+1010_1_to=lpo:sil=128000:drc=ordering:cnfonf=lazy_gen:si=on:nwc=2:random_seed=3894163379:s2a=on:i=908:bd=all:rtra=on:fe=abstraction:ntd=on_2898 on theBenchmark for (2898ds/908Mi)
% 90.87/13.29 % (3585958)Instruction limit reached!
% 90.87/13.29 % (3585958)------------------------------
% 90.87/13.29 % (3585958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.87/13.29 % (3585958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.87/13.29 % (3585958)CaDiCaL version: 2.1.3
% 90.87/13.29 % (3585958)Termination reason: Instruction limit
% 90.87/13.29 % (3585958)Termination phase: Saturation
% 90.87/13.29 % (3585958)Time elapsed: 1.298 s
% 90.87/13.29 % (3585958)Peak memory usage: 14 MB
% 90.87/13.29 % (3585958)Instructions burned: 2220 (million)
% 90.87/13.29 % (3585996)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=1872255315:i=6901:add=on:slsql=off:rtra=on:ntd=on_2895 on theBenchmark for (2895ds/6901Mi)
% 90.87/13.29 % (3585986)Instruction limit reached!
% 90.87/13.29 % (3585986)------------------------------
% 90.87/13.29 % (3585986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.87/13.29 % (3585986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.87/13.29 % (3585986)CaDiCaL version: 2.1.3
% 90.87/13.29 % (3585986)Termination reason: Instruction limit
% 90.87/13.29 % (3585986)Termination phase: Saturation
% 90.87/13.29 % (3585986)Time elapsed: 0.428 s
% 90.87/13.29 % (3585986)Peak memory usage: 12 MB
% 90.87/13.29 % (3585986)Instructions burned: 693 (million)
% 90.87/13.29 % (3585998)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1198871791:uwa_fpi=on:i=3621:add=on:doe=on:ins=1:rtra=on_2894 on theBenchmark for (2894ds/3621Mi)
% 90.87/13.29 % (3585988)Instruction limit reached!
% 90.87/13.29 % (3585988)------------------------------
% 90.87/13.29 % (3585988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 90.87/13.29 % (3585988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 90.87/13.29 % (3585988)CaDiCaL version: 2.1.3
% 90.87/13.29 % (3585988)Termination reason: Instruction limit
% 90.87/13.29 % (3585988)Termination phase: Saturation
% 90.87/13.29 % (3585988)Time elapsed: 0.759 s
% 90.87/13.29 % (3585988)Peak memory usage: 15 MB
% 90.87/13.29 % (3585988)Instructions burned: 909 (million)
% 90.87/13.29 % (3586000)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=2601869768:i=1160:kws=precedence:bd=preordered:av=off:rtra=on_2890 on theBenchmark for (2890ds/1160Mi)
% 90.87/13.29 % (3586000)Refutation not found, incomplete strategy
% 101.36/14.90 % (3586000)------------------------------
% 101.36/14.90 % (3586000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.36/14.90 % (3586000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.36/14.90 % (3586000)CaDiCaL version: 2.1.3
% 101.36/14.90 % (3586000)Termination reason: Refutation not found, incomplete strategy
% 101.36/14.90 % (3586000)Time elapsed: 0.002 s
% 101.36/14.90 % (3586000)Peak memory usage: 11 MB
% 101.36/14.90 % (3586000)Instructions burned: 3 (million)
% 101.36/14.90 % (3586000)------------------------------
% 101.36/14.90 % (3586000)------------------------------
% 101.36/14.90 % (3586002)ott+1003_256_anc=none:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:cbe=off:nwc=2:random_seed=1975464196:i=570:kws=frequency:aac=none:ep=RSTC:rtra=on:ntd=on:rawr=on_2890 on theBenchmark for (2890ds/570Mi)
% 101.36/14.90 % (3585985)Instruction limit reached!
% 101.36/14.90 % (3585985)------------------------------
% 101.36/14.90 % (3585985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.36/14.90 % (3585985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.36/14.90 % (3585985)CaDiCaL version: 2.1.3
% 101.36/14.90 % (3585985)Termination reason: Instruction limit
% 101.36/14.90 % (3585985)Termination phase: Saturation
% 101.36/14.90 % (3585985)Time elapsed: 0.827 s
% 101.36/14.90 % (3585985)Peak memory usage: 12 MB
% 101.36/14.90 % (3585985)Instructions burned: 1353 (million)
% 101.36/14.90 % (3586004)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=2403770562:i=324:bd=all:ins=4:rtra=on_2890 on theBenchmark for (2890ds/324Mi)
% 101.36/14.90 % (3586004)Instruction limit reached!
% 101.36/14.90 % (3586004)------------------------------
% 101.36/14.90 % (3586004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.36/14.90 % (3586004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.36/14.90 % (3586004)CaDiCaL version: 2.1.3
% 101.36/14.90 % (3586004)Termination reason: Instruction limit
% 101.36/14.90 % (3586004)Termination phase: Saturation
% 101.36/14.90 % (3586004)Time elapsed: 0.222 s
% 101.36/14.90 % (3586004)Peak memory usage: 14 MB
% 101.36/14.90 % (3586004)Instructions burned: 324 (million)
% 101.36/14.90 % (3586007)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=2931126616:s2a=on:i=5712:rtra=on_2887 on theBenchmark for (2887ds/5712Mi)
% 101.36/14.90 % (3586002)Instruction limit reached!
% 101.36/14.90 % (3586002)------------------------------
% 101.36/14.90 % (3586002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.36/14.90 % (3586002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.36/14.90 % (3586002)CaDiCaL version: 2.1.3
% 101.36/14.90 % (3586002)Termination reason: Instruction limit
% 101.36/14.90 % (3586002)Termination phase: Saturation
% 101.36/14.90 % (3586002)Time elapsed: 0.394 s
% 101.36/14.90 % (3586002)Peak memory usage: 13 MB
% 101.36/14.90 % (3586002)Instructions burned: 570 (million)
% 101.36/14.90 % (3586010)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 101.36/14.90 % (3586010)WARNING Broken Constraint: if positive_literal_split_queue_layered_arrangement(on) has been set then positive_literal_split_queue(off) is equal to on
% 101.36/14.90 % (3586010)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=1571325935:i=901:rtra=on:fsd=on_2886 on theBenchmark for (2886ds/901Mi)
% 101.36/14.90 % (3585892)Instruction limit reached!
% 101.36/14.90 % (3585892)------------------------------
% 101.36/14.90 % (3585892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.36/14.90 % (3585892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.36/14.90 % (3585892)CaDiCaL version: 2.1.3
% 101.36/14.90 % (3585892)Termination reason: Instruction limit
% 101.36/14.90 % (3585892)Termination phase: Saturation
% 101.36/14.90 % (3585892)Time elapsed: 5.094 s
% 101.36/14.90 % (3585892)Peak memory usage: 26 MB
% 101.36/14.90 % (3585892)Instructions burned: 6580 (million)
% 101.36/14.90 % (3586012)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2866518673:st=3:s2a=on:i=2961:sd=3:rtra=on:ss=axioms_2884 on theBenchmark for (2884ds/2961Mi)
% 101.36/14.90 % (3586012)Refutation not found, incomplete strategy
% 101.36/14.90 % (3586012)------------------------------
% 101.36/14.90 % (3586012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 105.47/15.36 % (3586012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.47/15.36 % (3586012)CaDiCaL version: 2.1.3
% 105.47/15.36 % (3586012)Termination reason: Refutation not found, incomplete strategy
% 105.47/15.36 % (3586012)Time elapsed: 0.001 s
% 105.47/15.36 % (3586012)Peak memory usage: 12 MB
% 105.47/15.36 % (3586012)------------------------------
% 105.47/15.36 % (3586012)------------------------------
% 105.47/15.36 % (3586014)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=3312317018:hsq=on:hsqr=16,1:s2a=on:i=3526:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2884 on theBenchmark for (2884ds/3526Mi)
% 105.47/15.36 % (3586010)Instruction limit reached!
% 105.47/15.36 % (3586010)------------------------------
% 105.47/15.36 % (3586010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 105.47/15.36 % (3586010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.47/15.36 % (3586010)CaDiCaL version: 2.1.3
% 105.47/15.36 % (3586010)Termination reason: Instruction limit
% 105.47/15.36 % (3586010)Termination phase: Saturation
% 105.47/15.36 % (3586010)Time elapsed: 0.570 s
% 105.47/15.36 % (3586010)Peak memory usage: 12 MB
% 105.47/15.36 % (3586010)Instructions burned: 902 (million)
% 105.47/15.36 % (3586016)dis+10_1024_sil=128000:si=on:uwa=off:random_seed=3096630506:st=4:i=3368:sd=3:rtra=on:ss=axioms:sgt=10_2880 on theBenchmark for (2880ds/3368Mi)
% 105.47/15.36 % (3586016)Refutation not found, incomplete strategy
% 105.47/15.36 % (3586016)------------------------------
% 105.47/15.36 % (3586016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 105.47/15.36 % (3586016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.47/15.36 % (3586016)CaDiCaL version: 2.1.3
% 105.47/15.36 % (3586016)Termination reason: Refutation not found, incomplete strategy
% 105.47/15.36 % (3586016)Time elapsed: 0.001 s
% 105.47/15.36 % (3586016)Peak memory usage: 12 MB
% 105.47/15.36 % (3586016)------------------------------
% 105.47/15.36 % (3586016)------------------------------
% 105.47/15.36 % (3586018)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=2605093640:i=20626:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2879 on theBenchmark for (2879ds/20626Mi)
% 105.47/15.36 % (3585946)Instruction limit reached!
% 105.47/15.36 % (3585946)------------------------------
% 105.47/15.36 % (3585946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 105.47/15.36 % (3585946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.47/15.36 % (3585946)CaDiCaL version: 2.1.3
% 105.47/15.36 % (3585946)Termination reason: Instruction limit
% 105.47/15.36 % (3585946)Termination phase: Saturation
% 105.47/15.36 % (3585946)Time elapsed: 4.882 s
% 105.47/15.36 % (3585946)Peak memory usage: 13 MB
% 105.47/15.36 % (3585946)Instructions burned: 17243 (million)
% 105.47/15.36 % (3586027)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3862389403:hsq=on:hsqr=1,8:i=27154:hsql=off:bd=all:rtra=on:ixr=off_2872 on theBenchmark for (2872ds/27154Mi)
% 105.47/15.36 % (3585978)Instruction limit reached!
% 105.47/15.36 % (3585978)------------------------------
% 105.47/15.36 % (3585978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 105.47/15.36 % (3585978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.47/15.36 % (3585978)CaDiCaL version: 2.1.3
% 105.47/15.36 % (3585978)Termination reason: Instruction limit
% 105.47/15.36 % (3585978)Termination phase: Saturation
% 105.47/15.36 % (3585978)Time elapsed: 2.832 s
% 105.47/15.36 % (3585978)Peak memory usage: 16 MB
% 105.47/15.36 % (3585978)Instructions burned: 4070 (million)
% 105.47/15.36 % (3586030)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1679899898:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2870 on theBenchmark for (2870ds/515Mi)
% 105.47/15.36 % (3586030)Refutation not found, incomplete strategy
% 105.47/15.36 % (3586030)------------------------------
% 105.47/15.36 % (3586030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 105.47/15.36 % (3586030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 105.47/15.36 % (3586030)CaDiCaL version: 2.1.3
% 105.47/15.36 % (3586030)Termination reason: Refutation not found, incomplete strategy
% 105.47/15.36 % (3586030)Time elapsed: 0.001 s
% 105.47/15.36 % (3586030)Peak memory usage: 12 MB
% 105.47/15.36 % (3586030)------------------------------
% 110.95/16.07 % (3586030)------------------------------
% 110.95/16.07 % (3586032)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=1399358707:s2a=on:i=2653:s2at=6:nm=2:rtra=on_2870 on theBenchmark for (2870ds/2653Mi)
% 110.95/16.07 % (3585998)Instruction limit reached!
% 110.95/16.07 % (3585998)------------------------------
% 110.95/16.07 % (3585998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.95/16.07 % (3585998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.95/16.07 % (3585998)CaDiCaL version: 2.1.3
% 110.95/16.07 % (3585998)Termination reason: Instruction limit
% 110.95/16.07 % (3585998)Termination phase: Saturation
% 110.95/16.07 % (3585998)Time elapsed: 2.486 s
% 110.95/16.07 % (3585998)Peak memory usage: 17 MB
% 110.95/16.07 % (3585998)Instructions burned: 3623 (million)
% 110.95/16.07 % (3586034)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
% 110.95/16.07 % (3586034)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=368041367:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2869 on theBenchmark for (2869ds/1297Mi)
% 110.95/16.08 % (3586014)Instruction limit reached!
% 110.95/16.08 % (3586014)------------------------------
% 110.95/16.08 % (3586014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.95/16.08 % (3586014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.95/16.08 % (3586014)CaDiCaL version: 2.1.3
% 110.95/16.08 % (3586014)Termination reason: Instruction limit
% 110.95/16.08 % (3586014)Termination phase: Saturation
% 110.95/16.08 % (3586014)Time elapsed: 2.001 s
% 110.95/16.08 % (3586014)Peak memory usage: 15 MB
% 110.95/16.08 % (3586014)Instructions burned: 3528 (million)
% 110.95/16.08 % (3586036)lrs+21_8_to=kbo:tgt=ground:fde=unused:e2e=on:si=on:uwa=hol:foolp=on:random_seed=1580367578:uwa_fpi=on:i=1950:kws=frequency:bd=preordered:rtra=on:fe=abstraction_2864 on theBenchmark for (2864ds/1950Mi)
% 110.95/16.08 % (3586034)Instruction limit reached!
% 110.95/16.08 % (3586034)------------------------------
% 110.95/16.08 % (3586034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.95/16.08 % (3586034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.95/16.08 % (3586034)CaDiCaL version: 2.1.3
% 110.95/16.08 % (3586034)Termination reason: Instruction limit
% 110.95/16.08 % (3586034)Termination phase: Saturation
% 110.95/16.08 % (3586034)Time elapsed: 0.705 s
% 110.95/16.08 % (3586034)Peak memory usage: 13 MB
% 110.95/16.08 % (3586034)Instructions burned: 1298 (million)
% 110.95/16.08 % (3586038)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=62424321:avsq=on:i=2818:add=on:avsqr=16,1:hud=0:rtra=on:ss=included:ixr=off:sgt=16_2861 on theBenchmark for (2861ds/2818Mi)
% 110.95/16.08 % (3585996)Instruction limit reached!
% 110.95/16.08 % (3585996)------------------------------
% 110.95/16.08 % (3585996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.95/16.08 % (3585996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.95/16.08 % (3585996)CaDiCaL version: 2.1.3
% 110.95/16.08 % (3585996)Termination reason: Instruction limit
% 110.95/16.08 % (3585996)Termination phase: Saturation
% 110.95/16.08 % (3585996)Time elapsed: 3.698 s
% 110.95/16.08 % (3585996)Peak memory usage: 14 MB
% 110.95/16.08 % (3585996)Instructions burned: 6901 (million)
% 110.95/16.08 % (3586040)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=3938250036:s2a=on:i=573:rtra=on:gsp=on_2858 on theBenchmark for (2858ds/573Mi)
% 110.95/16.08 % (3586040)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 110.95/16.08 % (3586040)Instruction limit reached!
% 110.95/16.08 % (3586040)------------------------------
% 110.95/16.08 % (3586040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 110.95/16.08 % (3586040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.95/16.08 % (3586040)CaDiCaL version: 2.1.3
% 110.95/16.08 % (3586040)Termination reason: Instruction limit
% 110.95/16.08 % (3586040)Termination phase: Saturation
% 110.95/16.08 % (3586040)Time elapsed: 0.336 s
% 110.95/16.08 % (3586040)Peak memory usage: 13 MB
% 110.95/16.08 % (3586040)Instructions burned: 575 (million)
% 110.95/16.08 % (3586042)lrs+10_1_sil=128000:cnfonf=off:si=on:fd=preordered:random_seed=2313755589:s2a=on:i=9598:bd=preordered:rtra=on:fe=abstraction_2854 on theBenchmark for (2854ds/9598Mi)
% 118.06/17.09 % (3586007)Instruction limit reached!
% 118.06/17.09 % (3586007)------------------------------
% 118.06/17.09 % (3586007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 118.06/17.09 % (3586007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.06/17.09 % (3586007)CaDiCaL version: 2.1.3
% 118.06/17.09 % (3586007)Termination reason: Instruction limit
% 118.06/17.09 % (3586007)Termination phase: Saturation
% 118.06/17.09 % (3586007)Time elapsed: 3.512 s
% 118.06/17.09 % (3586007)Peak memory usage: 14 MB
% 118.06/17.09 % (3586007)Instructions burned: 5713 (million)
% 118.06/17.09 % (3586044)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 118.06/17.09 % (3586044)ott+1002_16_sil=128000:si=on:random_seed=1670786854:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2852 on theBenchmark for (2852ds/409Mi)
% 118.06/17.09 % (3586036)Instruction limit reached!
% 118.06/17.09 % (3586036)------------------------------
% 118.06/17.09 % (3586036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 118.06/17.09 % (3586036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.06/17.09 % (3586036)CaDiCaL version: 2.1.3
% 118.06/17.09 % (3586036)Termination reason: Instruction limit
% 118.06/17.09 % (3586036)Termination phase: Saturation
% 118.06/17.09 % (3586036)Time elapsed: 1.187 s
% 118.06/17.09 % (3586036)Peak memory usage: 14 MB
% 118.06/17.09 % (3586036)Instructions burned: 1951 (million)
% 118.06/17.09 % (3586046)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=1420786370:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2851 on theBenchmark for (2851ds/403Mi)
% 118.06/17.09 % (3586046)Refutation not found, incomplete strategy
% 118.06/17.09 % (3586046)------------------------------
% 118.06/17.09 % (3586046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 118.06/17.09 % (3586046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.06/17.09 % (3586046)CaDiCaL version: 2.1.3
% 118.06/17.09 % (3586046)Termination reason: Refutation not found, incomplete strategy
% 118.06/17.09 % (3586046)Time elapsed: 0.002 s
% 118.06/17.09 % (3586046)Peak memory usage: 11 MB
% 118.06/17.09 % (3586046)Instructions burned: 1 (million)
% 118.06/17.09 % (3586046)------------------------------
% 118.06/17.09 % (3586046)------------------------------
% 118.06/17.09 % (3586048)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1630446208:cond=on:i=1140:rtra=on:ntd=on_2851 on theBenchmark for (2851ds/1140Mi)
% 118.06/17.09 % (3586032)Instruction limit reached!
% 118.06/17.09 % (3586032)------------------------------
% 118.06/17.09 % (3586032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 118.06/17.09 % (3586032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.06/17.09 % (3586032)CaDiCaL version: 2.1.3
% 118.06/17.09 % (3586032)Termination reason: Instruction limit
% 118.06/17.09 % (3586032)Termination phase: Saturation
% 118.06/17.09 % (3586032)Time elapsed: 1.972 s
% 118.06/17.09 % (3586032)Peak memory usage: 14 MB
% 118.06/17.09 % (3586032)Instructions burned: 2653 (million)
% 118.06/17.09 % (3586050)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=2042934187:i=13574:kws=inv_precedence:rtra=on_2850 on theBenchmark for (2850ds/13574Mi)
% 118.06/17.09 % (3586050)Refutation not found, incomplete strategy
% 118.06/17.09 % (3586050)------------------------------
% 118.06/17.09 % (3586050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 118.06/17.09 % (3586050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.06/17.09 % (3586050)CaDiCaL version: 2.1.3
% 118.06/17.09 % (3586050)Termination reason: Refutation not found, incomplete strategy
% 118.06/17.09 % (3586050)Time elapsed: 0.002 s
% 118.06/17.09 % (3586050)Peak memory usage: 12 MB
% 118.06/17.09 % (3586050)Instructions burned: 1 (million)
% 118.06/17.09 % (3586050)------------------------------
% 118.06/17.09 % (3586050)------------------------------
% 118.06/17.09 % (3586052)lrs+10_2:1_si=on:random_seed=2106210000:s2a=on:i=1055:rtra=on:fe=abstraction_2849 on theBenchmark for (2849ds/1055Mi)
% 118.06/17.09 % (3586044)Instruction limit reached!
% 118.06/17.09 % (3586044)------------------------------
% 118.06/17.09 % (3586044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 118.06/17.09 % (3586044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.06/17.09 % (3586044)CaDiCaL version: 2.1.3
% 118.06/17.09 % (3586044)Termination reason: Instruction limit
% 118.06/17.09 % (3586044)Termination phase: Saturation
% 118.06/17.09 % (3586044)Time elapsed: 0.238 s
% 118.06/17.09 % (3586044)Peak memory usage: 13 MB
% 118.06/17.09 % (3586044)Instructions burned: 410 (million)
% 118.06/17.09 % (3586054)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 118.06/17.09 % (3586054)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=288069559:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2849 on theBenchmark for (2849ds/416Mi)
% 118.06/17.09 % (3586054)Instruction limit reached!
% 118.06/17.09 % (3586054)------------------------------
% 118.06/17.09 % (3586054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 118.06/17.09 % (3586054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.06/17.09 % (3586054)CaDiCaL version: 2.1.3
% 118.06/17.09 % (3586054)Termination reason: Instruction limit
% 118.06/17.09 % (3586054)Termination phase: Saturation
% 118.06/17.09 % (3586054)Time elapsed: 0.347 s
% 118.06/17.09 % (3586054)Peak memory usage: 14 MB
% 118.06/17.09 % (3586054)Instructions burned: 417 (million)
% 118.06/17.09 % (3586058)dis+10_5:1_to=lpo:fde=unused:si=on:spb=goal_then_units:uwa=off:s2agt=10:random_seed=1982139357:s2a=on:i=8946:bd=preordered:av=off:rtra=on_2845 on theBenchmark for (2845ds/8946Mi)
% 118.06/17.09 % (3586048)Instruction limit reached!
% 118.06/17.09 % (3586048)------------------------------
% 118.06/17.09 % (3586048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 118.06/17.09 % (3586048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.06/17.09 % (3586048)CaDiCaL version: 2.1.3
% 118.06/17.09 % (3586048)Termination reason: Instruction limit
% 118.06/17.09 % (3586048)Termination phase: Saturation
% 118.06/17.09 % (3586048)Time elapsed: 0.624 s
% 118.06/17.09 % (3586048)Peak memory usage: 12 MB
% 118.06/17.09 % (3586048)Instructions burned: 1142 (million)
% 118.06/17.09 % (3586063)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=204076423:s2a=on:i=2129:nm=16:rtra=on_2844 on theBenchmark for (2844ds/2129Mi)
% 118.06/17.09 % (3586063)Refutation not found, incomplete strategy
% 118.06/17.09 % (3586063)------------------------------
% 118.06/17.09 % (3586063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 118.06/17.09 % (3586063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.06/17.09 % (3586063)CaDiCaL version: 2.1.3
% 118.06/17.09 % (3586063)Termination reason: Refutation not found, incomplete strategy
% 118.06/17.09 % (3586063)Time elapsed: 0.001 s
% 118.06/17.09 % (3586063)Peak memory usage: 12 MB
% 118.06/17.09 % (3586063)Instructions burned: 1 (million)
% 118.06/17.09 % (3586063)------------------------------
% 118.06/17.09 % (3586063)------------------------------
% 118.06/17.09 % (3586067)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=871505961:uwa_fpi=on:i=300:bd=all:rtra=on:fe=abstraction:ntd=on_2844 on theBenchmark for (2844ds/300Mi)
% 118.06/17.09 % (3586067)Instruction limit reached!
% 118.06/17.09 % (3586067)------------------------------
% 118.06/17.09 % (3586067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 118.06/17.09 % (3586067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.06/17.09 % (3586067)CaDiCaL version: 2.1.3
% 118.06/17.09 % (3586067)Termination reason: Instruction limit
% 118.06/17.09 % (3586067)Termination phase: Saturation
% 118.06/17.09 % (3586067)Time elapsed: 0.179 s
% 118.06/17.09 % (3586067)Peak memory usage: 13 MB
% 118.06/17.09 % (3586067)Instructions burned: 301 (million)
% 118.06/17.09 % (3586070)lrs+1010_1024_cnfonf=lazy_not_gen_be_off:si=on:sos=on:rp=on:random_seed=1717957566:cts=off:uwa_fpi=on:i=11464:doe=on:piset=equals:bd=preordered:nm=128:fsr=off:rtra=on:ixr=off_2842 on theBenchmark for (2842ds/11464Mi)
% 118.06/17.09 % (3586070)Refutation not found, incomplete strategy
% 118.06/17.09 % (3586070)------------------------------
% 118.06/17.09 % (3586070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 118.06/17.09 % (3586070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.06/17.09 % (3586070)CaDiCaL version: 2.1.3
% 118.06/17.09 % (3586070)Termination reason: Refutation not found, incomplete strategy
% 118.06/17.09 % (3586070)Time elapsed: 0.002 s
% 118.06/17.09 % (3586070)Peak memory usage: 12 MB
% 118.06/17.09 % (3586070)Instructions burned: 3 (million)
% 118.06/17.09 % (3586070)------------------------------
% 118.06/17.09 % (3586070)------------------------------
% 118.06/17.09 % (3586052)Instruction limit reached!
% 118.06/17.09 % (3586052)------------------------------
% 118.06/17.09 % (3586052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 118.06/17.09 % (3586052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.06/17.09 % (3586052)CaDiCaL version: 2.1.3
% 118.06/17.09 % (3586052)Termination reason: Instruction limit
% 118.06/17.09 % (3586052)Termination phase: Saturation
% 118.06/17.09 % (3586052)Time elapsed: 0.758 s
% 118.06/17.09 % (3586052)Peak memory usage: 13 MB
% 118.06/17.09 % (3586052)Instructions burned: 1055 (million)
% 118.06/17.09 % (3586072)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=2619512410:i=11001:add=on:sd=4:fsr=off:rtra=on:ss=included_2842 on theBenchmark for (2842ds/11001Mi)
% 118.06/17.09 % (3586073)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=245779525:hsq=on:i=662:rtra=on:ixr=off_2842 on theBenchmark for (2842ds/662Mi)
% 118.06/17.09 % (3586038)Instruction limit reached!
% 118.06/17.09 % (3586038)------------------------------
% 118.06/17.09 % (3586038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 118.06/17.09 % (3586038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.06/17.09 % (3586038)CaDiCaL version: 2.1.3
% 118.06/17.09 % (3586038)Termination reason: Instruction limit
% 118.06/17.09 % (3586038)Termination phase: Saturation
% 118.06/17.09 % (3586038)Time elapsed: 1.980 s
% 118.06/17.09 % (3586038)Peak memory usage: 14 MB
% 118.06/17.09 % (3586038)Instructions burned: 2819 (million)
% 118.06/17.09 % (3586076)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=934182689:i=1714:bd=preordered:nm=32:rtra=on:fdi=1024_2841 on theBenchmark for (2841ds/1714Mi)
% 118.06/17.09 % (3586073)Instruction limit reached!
% 118.06/17.09 % (3586073)------------------------------
% 118.06/17.09 % (3586073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 118.06/17.09 % (3586073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.06/17.09 % (3586073)CaDiCaL version: 2.1.3
% 118.06/17.09 % (3586073)Termination reason: Instruction limit
% 118.06/17.09 % (3586073)Termination phase: Saturation
% 118.06/17.09 % (3586073)Time elapsed: 0.423 s
% 118.06/17.09 % (3586073)Peak memory usage: 12 MB
% 118.06/17.09 % (3586073)Instructions burned: 662 (million)
% 118.06/17.09 % (3586078)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=4257164188:s2a=on:i=699:add=on:bd=preordered:ins=10:rtra=on_2837 on theBenchmark for (2837ds/699Mi)
% 118.06/17.09 % (3586018) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3585434-3586018"...
% 118.06/17.09 % (3586078)Instruction limit reached!
% 118.06/17.09 % (3586078)------------------------------
% 118.06/17.09 % (3586078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 118.06/17.09 % (3586078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.06/17.09 % (3586078)CaDiCaL version: 2.1.3
% 118.06/17.09 % (3586078)Termination reason: Instruction limit
% 118.06/17.09 % (3586078)Termination phase: Saturation
% 118.06/17.09 % (3586078)Time elapsed: 0.487 s
% 118.06/17.09 % (3586078)Peak memory usage: 14 MB
% 118.06/17.09 % (3586078)Instructions burned: 699 (million)
% 118.06/17.09 % (3586018)...printing done.
% 118.06/17.09 % (3586018)Refutation found. Thanks to Tanya!
% 118.06/17.09 % SZS status Unsatisfiable for theBenchmark
% 118.06/17.09 % SZS output start Proof for theBenchmark
% See solution above
% 118.48/17.15 % (3586018)------------------------------
% 118.48/17.15 % (3586018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 118.48/17.15 % (3586018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 118.48/17.15 % (3586018)CaDiCaL version: 2.1.3
% 118.48/17.15 % (3586018)Termination reason: Refutation
% 118.48/17.15 % (3586018)Time elapsed: 4.711 s
% 118.48/17.15 % (3586018)Peak memory usage: 24 MB
% 118.48/17.15 % (3586018)Instructions burned: 5528 (million)
% 118.48/17.15 % (3585434)Success in time 16.792 s
% 118.48/17.15 % Vampire exiting
%------------------------------------------------------------------------------