%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA170^1 : 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 : n004.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 08:02:38 AM UTC 2026
% Result : Unsatisfiable 35.31s 5.45s
% Output : Refutation 35.31s
% 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,
! [X0: $i,X1: $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,
! [X1: $i,X0: $i] :
( ( r @ X0 @ X1 )
| ( b @ X0 @ X1 )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X1: $i,X2: $i,X0: $i] :
( ~ ( r @ X0 @ X2 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X1: $i,X3: $i,X0: $i,X4: $i,X2: $i] :
( ~ ( b @ X2 @ X3 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X0 @ X4 )
| ~ ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i,X1: $i] :
( ( r @ X1 @ X0 )
| ( b @ X1 @ X0 )
| ( X0 = X1 ) ),
inference(rectify,[],[f5]) ).
thf(f9,plain,
! [X1: $i,X0: $i] :
( ( ( b @ X1 @ X0 )
= $true )
| ( ( r @ X1 @ X0 )
= $true )
| ( X0 = X1 ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X4 @ X1 )
| ~ ( b @ X2 @ X4 )
| ~ ( b @ X0 @ X4 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X2 @ X0 ) ),
inference(rectify,[],[f7]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X1 ) )
| ( $true
!= ( b @ X2 @ X4 ) )
| ( ( b @ X0 @ X4 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f13,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f15,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( r @ X2 @ X1 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X2 @ X0 ) ),
inference(rectify,[],[f6]) ).
thf(f17,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X1: $i,X3: $i,X4: $i,X2: $i,X0: $i] :
( ( ( b @ X2 @ X0 )
!= $true )
| ( $true
!= ( b @ X4 @ X1 ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( $true
!= ( b @ X2 @ X4 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X4 )
!= $true ) ),
inference(flattening,[],[f11]) ).
thf(f19,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f13]) ).
thf(f20,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f15]) ).
thf(f21,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
!= ( r @ X2 @ X1 ) ) ),
inference(flattening,[],[f17]) ).
thf(f22,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X4 @ X2 ) ) ),
inference(rectify,[],[f18]) ).
thf(f23,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(rectify,[],[f9]) ).
thf(f24,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(rectify,[],[f21]) ).
thf(f25,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f26,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f27,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X2 ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X3 @ X4 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f28,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f2]) ).
thf(f29,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f30,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f31,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f19]) ).
thf(f34,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(extensionality_resolution,[],[f29,f26]) ).
thf(f35,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f29,f26]) ).
thf(f36,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) ) ),
inference(extensionality_resolution,[],[f29,f28]) ).
thf(f39,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( $true
!= ( b @ X1 @ X4 ) )
| ( ( b @ X2 @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(constrained_superposition,[],[f27,f29]) ).
thf(f40,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X3 ) )
| ( X0 = X1 )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ X4 ) )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f39]) ).
thf(f41,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X3 ) ) ),
inference(constrained_superposition,[],[f27,f34]) ).
thf(f42,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ z @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f41]) ).
thf(f46,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X3 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X3 @ X2 ) ) ),
inference(constrained_superposition,[],[f27,f35]) ).
thf(f48,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f46]) ).
thf(f53,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f36,f28]) ).
thf(f55,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(extensionality_resolution,[],[f36,f26]) ).
thf(f56,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(extensionality_resolution,[],[f36,f26]) ).
thf(f65,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X3 @ X2 ) ) ),
inference(constrained_superposition,[],[f27,f55]) ).
thf(f68,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ ( s @ z ) @ X3 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f65]) ).
thf(f70,definition,
( spl0_1
<=> ( $true
= ( r @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f71,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f70]) ).
thf(f83,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f68,f35]) ).
thf(f85,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f83]) ).
thf(f88,definition,
( spl0_3
<=> ( $true
= ( b @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f89,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_3 ),
inference(avatar_component_clause,[],[f88]) ).
thf(f91,definition,
( spl0_4
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f92,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f91]) ).
thf(f94,definition,
( spl0_5
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f95,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f94]) ).
thf(f96,plain,
( ~ spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f85,f94,f91,f88]) ).
thf(f106,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f48,f56]) ).
thf(f108,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ),
inference(constrained_superposition,[],[f42,f56]) ).
thf(f109,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X3 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f27,f56]) ).
thf(f110,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f108]) ).
thf(f111,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f106]) ).
thf(f113,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X3 @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f109]) ).
thf(f115,definition,
( spl0_6
<=> ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f116,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f115]) ).
thf(f118,definition,
( spl0_7
<=> ( $true
= ( b @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f119,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_7 ),
inference(avatar_component_clause,[],[f118]) ).
thf(f121,definition,
( spl0_8
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f122,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f121]) ).
thf(f123,plain,
( spl0_6
| ~ spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f110,f121,f118,f115]) ).
thf(f124,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| spl0_7 ),
inference(constrained_superposition,[],[f119,f34]) ).
thf(f127,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_7 ),
inference(trivial_inequality_removal,[],[f124]) ).
thf(f129,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f127,f118,f70]) ).
thf(f131,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f116,f34]) ).
thf(f135,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f131]) ).
thf(f139,definition,
( spl0_9
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f140,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f139]) ).
thf(f141,plain,
( spl0_9
| spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f135,f115,f70,f139]) ).
thf(f150,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f30,f122]) ).
thf(f151,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f150]) ).
thf(f155,plain,
! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f53,f26]) ).
thf(f156,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f53,f26]) ).
thf(f157,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) ) ),
inference(extensionality_resolution,[],[f53,f28]) ).
thf(f172,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
inference(constrained_superposition,[],[f42,f155]) ).
thf(f173,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X3 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(constrained_superposition,[],[f27,f155]) ).
thf(f175,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f172]) ).
thf(f178,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X3 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f173]) ).
thf(f180,definition,
( spl0_10
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f181,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f180]) ).
thf(f183,definition,
( spl0_11
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f184,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f183]) ).
thf(f185,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f175,f183,f180]) ).
thf(f187,definition,
( spl0_12
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f188,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f187]) ).
thf(f202,definition,
( spl0_14
<=> ( $true
= ( r @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f203,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f202]) ).
thf(f205,definition,
( spl0_15
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f206,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f205]) ).
thf(f207,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f111,f205,f202]) ).
thf(f208,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f30,f203]) ).
thf(f209,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f208]) ).
thf(f210,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_12
| ~ spl0_14 ),
inference(constrained_superposition,[],[f209,f188]) ).
thf(f213,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_12
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f210]) ).
thf(f214,plain,
( $false
| ~ spl0_10
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f213,f181]) ).
thf(f215,plain,
( ~ spl0_10
| ~ spl0_12
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f214]) ).
thf(f221,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f184,f34]) ).
thf(f226,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f221]) ).
thf(f227,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f226]) ).
thf(f233,definition,
( spl0_16
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f234,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f233]) ).
thf(f236,definition,
( spl0_17
<=> ! [X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f237,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f236]) ).
thf(f240,definition,
( spl0_18
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f241,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f240]) ).
thf(f242,plain,
( spl0_9
| spl0_18
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f227,f183,f240,f139]) ).
thf(f264,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f178,f56]) ).
thf(f267,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f264]) ).
thf(f272,definition,
( spl0_21
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
thf(f273,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f272]) ).
thf(f275,definition,
( spl0_22
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f276,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_22 ),
inference(avatar_component_clause,[],[f275]) ).
thf(f278,definition,
( spl0_23
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f279,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f278]) ).
thf(f280,plain,
( spl0_21
| ~ spl0_22
| spl0_23 ),
inference(avatar_split_clause,[],[f267,f278,f275,f272]) ).
thf(f282,definition,
( spl0_24
<=> ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f283,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_24 ),
inference(avatar_component_clause,[],[f282]) ).
thf(f285,definition,
( spl0_25
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
thf(f286,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f285]) ).
thf(f309,definition,
( spl0_27
<=> ( ( s @ z )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
thf(f310,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f309]) ).
thf(f312,definition,
( spl0_28
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f313,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f312]) ).
thf(f317,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f273,f55]) ).
thf(f319,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f273,f34]) ).
thf(f322,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f317]) ).
thf(f323,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f322]) ).
thf(f326,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f319]) ).
thf(f329,definition,
( spl0_29
<=> ! [X0: $i] :
( ( b @ ( s @ z ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f330,plain,
( ! [X0: $i] :
( ( b @ ( s @ z ) @ X0 )
!= $true )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f329]) ).
thf(f331,plain,
( spl0_12
| spl0_29
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f323,f272,f329,f187]) ).
thf(f357,definition,
( spl0_31
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
thf(f358,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f357]) ).
thf(f360,definition,
( spl0_32
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f361,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f360]) ).
thf(f366,definition,
( spl0_33
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
thf(f367,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f366]) ).
thf(f368,plain,
( spl0_33
| spl0_10
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f326,f272,f180,f366]) ).
thf(f369,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| spl0_14 ),
inference(avatar_component_clause,[],[f202]) ).
thf(f371,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f30,f203]) ).
thf(f372,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f371]) ).
thf(f395,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f234,f34]) ).
thf(f398,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f395]) ).
thf(f400,plain,
( spl0_18
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f398,f233,f240]) ).
thf(f423,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f30,f92]) ).
thf(f424,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f423]) ).
thf(f456,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_8
| ~ spl0_18 ),
inference(constrained_superposition,[],[f151,f241]) ).
thf(f457,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f30,f241]) ).
thf(f459,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_8
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f456]) ).
thf(f460,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f457]) ).
thf(f461,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_8
| ~ spl0_18 ),
inference(constrained_superposition,[],[f460,f122]) ).
thf(f462,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_8
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f461]) ).
thf(f463,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_8
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f462]) ).
thf(f465,definition,
( spl0_34
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
thf(f466,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f465]) ).
thf(f467,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_28 ),
inference(avatar_component_clause,[],[f312]) ).
thf(f468,plain,
( spl0_34
| ~ spl0_28
| ~ spl0_8
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f463,f240,f121,f312,f465]) ).
thf(f469,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_8
| spl0_28 ),
inference(constrained_superposition,[],[f467,f122]) ).
thf(f470,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_8
| spl0_28 ),
inference(trivial_inequality_removal,[],[f469]) ).
thf(f486,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_23 ),
inference(constrained_superposition,[],[f424,f279]) ).
thf(f497,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_4
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f486]) ).
thf(f525,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
inference(constrained_superposition,[],[f113,f156]) ).
thf(f526,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) ) ),
inference(constrained_superposition,[],[f48,f156]) ).
thf(f528,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f68,f156]) ).
thf(f529,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f42,f156]) ).
thf(f530,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f27,f156]) ).
thf(f531,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(trivial_inequality_removal,[],[f526]) ).
thf(f532,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f529]) ).
thf(f533,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f525]) ).
thf(f534,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f530]) ).
thf(f535,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f528]) ).
thf(f538,definition,
( spl0_35
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f539,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f538]) ).
thf(f541,definition,
( spl0_36
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f542,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_36 ),
inference(avatar_component_clause,[],[f541]) ).
thf(f544,definition,
( spl0_37
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
thf(f545,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f544]) ).
thf(f546,plain,
( spl0_35
| ~ spl0_36
| spl0_37 ),
inference(avatar_split_clause,[],[f532,f544,f541,f538]) ).
thf(f549,definition,
( spl0_38
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f550,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f549]) ).
thf(f552,definition,
( spl0_39
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
thf(f553,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_39 ),
inference(avatar_component_clause,[],[f552]) ).
thf(f555,definition,
( spl0_40
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
thf(f556,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f555]) ).
thf(f557,plain,
( spl0_38
| ~ spl0_39
| spl0_40 ),
inference(avatar_split_clause,[],[f535,f555,f552,f549]) ).
thf(f558,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| spl0_36 ),
inference(constrained_superposition,[],[f542,f34]) ).
thf(f560,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_36 ),
inference(trivial_inequality_removal,[],[f558]) ).
thf(f562,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_39 ),
inference(constrained_superposition,[],[f553,f55]) ).
thf(f564,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_39 ),
inference(constrained_superposition,[],[f553,f29]) ).
thf(f565,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_39 ),
inference(trivial_inequality_removal,[],[f564]) ).
thf(f567,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_39 ),
inference(trivial_inequality_removal,[],[f562]) ).
thf(f568,plain,
( spl0_27
| spl0_12
| spl0_39 ),
inference(avatar_split_clause,[],[f565,f552,f187,f309]) ).
thf(f570,plain,
( spl0_12
| spl0_39 ),
inference(avatar_split_clause,[],[f567,f552,f187]) ).
thf(f572,definition,
( spl0_41
<=> ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f573,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f572]) ).
thf(f575,definition,
( spl0_42
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
thf(f576,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f575]) ).
thf(f577,plain,
( spl0_41
| spl0_42
| ~ spl0_4
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f497,f278,f91,f575,f572]) ).
thf(f578,plain,
( spl0_10
| ~ spl0_8
| spl0_28 ),
inference(avatar_split_clause,[],[f470,f312,f121,f180]) ).
thf(f580,definition,
( spl0_43
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
thf(f581,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f580]) ).
thf(f582,plain,
( spl0_43
| spl0_41 ),
inference(avatar_split_clause,[],[f531,f572,f580]) ).
thf(f592,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_8
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f459,f372]) ).
thf(f596,plain,
( spl0_10
| spl0_36 ),
inference(avatar_split_clause,[],[f560,f541,f180]) ).
thf(f606,definition,
( spl0_44
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
thf(f607,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f606]) ).
thf(f608,plain,
( spl0_10
| spl0_44
| ~ spl0_8
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f592,f240,f202,f121,f606,f180]) ).
thf(f612,definition,
( spl0_45
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
thf(f613,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f612]) ).
thf(f617,definition,
( spl0_46
<=> ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
thf(f618,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f617]) ).
thf(f637,definition,
( spl0_49
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
thf(f638,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f637]) ).
thf(f642,plain,
( spl0_49
| spl0_10
| ~ spl0_8
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f459,f240,f121,f180,f637]) ).
thf(f661,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_41 ),
inference(constrained_superposition,[],[f151,f573]) ).
thf(f664,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f661]) ).
thf(f668,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f30,f188]) ).
thf(f669,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f668]) ).
thf(f691,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_12
| ~ spl0_18 ),
inference(constrained_superposition,[],[f669,f241]) ).
thf(f693,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f691]) ).
thf(f697,plain,
( spl0_49
| ~ spl0_12
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f693,f240,f187,f637]) ).
thf(f698,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f140,f35]) ).
thf(f699,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f140,f29]) ).
thf(f700,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f698]) ).
thf(f701,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f699]) ).
thf(f705,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f237,f155]) ).
thf(f706,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f237,f56]) ).
thf(f711,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f706]) ).
thf(f713,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f705]) ).
thf(f716,plain,
( ~ spl0_3
| spl0_28
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f711,f236,f312,f88]) ).
thf(f718,definition,
( spl0_52
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
thf(f719,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f718]) ).
thf(f720,plain,
( spl0_28
| spl0_52 ),
inference(avatar_split_clause,[],[f533,f718,f312]) ).
thf(f725,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f30,f313]) ).
thf(f727,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f725]) ).
thf(f731,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f700,f34]) ).
thf(f733,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f731]) ).
thf(f740,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f713,f35]) ).
thf(f742,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f740]) ).
thf(f744,plain,
( spl0_25
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f742,f236,f285]) ).
thf(f750,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f206,f34]) ).
thf(f760,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f750]) ).
thf(f761,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f760]) ).
thf(f763,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f184,f155]) ).
thf(f769,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f763]) ).
thf(f770,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f769]) ).
thf(f789,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f701,f29]) ).
thf(f791,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_9 ),
inference(duplicate_literal_removal,[],[f789]) ).
thf(f792,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f791]) ).
thf(f795,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_9
| spl0_14 ),
inference(constrained_superposition,[],[f369,f792]) ).
thf(f796,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ X1 @ X0 )
!= $true )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f30,f792]) ).
thf(f797,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_8
| ~ spl0_9 ),
inference(constrained_superposition,[],[f151,f792]) ).
thf(f798,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_12 ),
inference(constrained_superposition,[],[f669,f792]) ).
thf(f805,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_8
| ~ spl0_9 ),
inference(duplicate_literal_removal,[],[f797]) ).
thf(f806,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_8
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f805]) ).
thf(f808,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f796]) ).
thf(f809,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_9
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f798]) ).
thf(f810,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_9
| spl0_14 ),
inference(trivial_inequality_removal,[],[f795]) ).
thf(f812,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( z = X0 ) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f808,f30]) ).
thf(f813,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_9
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f810,f26]) ).
thf(f817,plain,
( spl0_1
| ~ spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f813,f202,f139,f70]) ).
thf(f826,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_1
| ~ spl0_9 ),
inference(constrained_superposition,[],[f812,f71]) ).
thf(f827,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( z = X0 ) )
| ~ spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f826]) ).
thf(f829,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_28 ),
inference(constrained_superposition,[],[f827,f313]) ).
thf(f830,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f829]) ).
thf(f832,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f830,f26]) ).
thf(f833,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f832]) ).
thf(f835,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f806,f26]) ).
thf(f836,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f809,f26]) ).
thf(f837,plain,
( spl0_10
| ~ spl0_14
| ~ spl0_8
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f664,f572,f121,f202,f180]) ).
thf(f840,definition,
( spl0_53
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
thf(f841,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f840]) ).
thf(f842,plain,
( ~ spl0_14
| spl0_53
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f835,f139,f121,f840,f202]) ).
thf(f843,plain,
( spl0_10
| ~ spl0_14
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f836,f187,f139,f202,f180]) ).
thf(f847,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f30,f203]) ).
thf(f848,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f847]) ).
thf(f895,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_28 ),
inference(constrained_superposition,[],[f727,f792]) ).
thf(f899,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f895]) ).
thf(f902,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_14
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f899,f203]) ).
thf(f903,plain,
( spl0_32
| spl0_8
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f761,f205,f121,f360]) ).
thf(f904,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_9
| ~ spl0_14
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f902,f26]) ).
thf(f905,plain,
( spl0_10
| ~ spl0_9
| ~ spl0_14
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f904,f312,f202,f139,f180]) ).
thf(f906,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f638,f848]) ).
thf(f907,plain,
( spl0_17
| spl0_16
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f770,f183,f233,f236]) ).
thf(f908,plain,
( spl0_44
| ~ spl0_14
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f906,f637,f202,f606]) ).
thf(f943,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f116,f29]) ).
thf(f947,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f943]) ).
thf(f982,definition,
( spl0_54
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f983,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f982]) ).
thf(f986,definition,
( spl0_55
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
thf(f987,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f986]) ).
thf(f989,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_55 ),
inference(constrained_superposition,[],[f987,f56]) ).
thf(f996,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f989]) ).
thf(f997,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f983,f29]) ).
thf(f999,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f983,f55]) ).
thf(f1002,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f999]) ).
thf(f1003,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f997]) ).
thf(f1005,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_55 ),
inference(constrained_superposition,[],[f996,f34]) ).
thf(f1007,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f1005]) ).
thf(f1009,plain,
( spl0_8
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f1007,f986,f121]) ).
thf(f1038,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_41 ),
inference(avatar_component_clause,[],[f572]) ).
thf(f1041,definition,
( spl0_56
<=> ! [X0: $i] :
( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
thf(f1042,plain,
( ! [X0: $i] :
( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f1041]) ).
thf(f1069,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_56 ),
inference(constrained_superposition,[],[f56,f1042]) ).
thf(f1152,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f1069,f31]) ).
thf(f1165,plain,
( $false
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f1152,f25]) ).
thf(f1166,plain,
~ spl0_56,
inference(avatar_contradiction_clause,[],[f1165]) ).
thf(f1177,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_12 ),
inference(avatar_component_clause,[],[f187]) ).
thf(f1195,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f1002,f56]) ).
thf(f1199,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f1195]) ).
thf(f1202,plain,
( spl0_31
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f1199,f982,f357]) ).
thf(f1230,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z = X1 )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f812,f733]) ).
thf(f1231,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f30,f733]) ).
thf(f1233,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( z = X1 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f1230]) ).
thf(f1234,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f1231]) ).
thf(f1235,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f1234,f30]) ).
thf(f1267,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_1 ),
inference(avatar_component_clause,[],[f70]) ).
thf(f1278,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f1003,f29]) ).
thf(f1280,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_54 ),
inference(duplicate_literal_removal,[],[f1278]) ).
thf(f1281,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f1280]) ).
thf(f1292,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_28
| ~ spl0_54 ),
inference(constrained_superposition,[],[f467,f1281]) ).
thf(f1307,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_28
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f1292]) ).
thf(f1310,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_12
| spl0_28
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f1307,f1177]) ).
thf(f1311,plain,
( spl0_27
| spl0_12
| spl0_28
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f1310,f982,f312,f187,f309]) ).
thf(f1378,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_28
| ~ spl0_31 ),
inference(constrained_superposition,[],[f467,f358]) ).
thf(f1393,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_28
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f1378]) ).
thf(f1395,plain,
( $false
| spl0_12
| spl0_28
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f1393,f1177]) ).
thf(f1396,plain,
( spl0_12
| spl0_28
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f1395]) ).
thf(f1398,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( $true
= ( r @ z @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f947,f29]) ).
thf(f1400,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X1 )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1398]) ).
thf(f1405,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f1400,f155]) ).
thf(f1412,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1405]) ).
thf(f1417,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_6
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f1412,f467]) ).
thf(f1419,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_6
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f1417,f26]) ).
thf(f1420,plain,
( spl0_27
| spl0_25
| ~ spl0_6
| spl0_28 ),
inference(avatar_split_clause,[],[f1419,f312,f115,f285,f309]) ).
thf(f1482,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f56,f310]) ).
thf(f1566,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1482,f25]) ).
thf(f1575,plain,
( $false
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1566,f31]) ).
thf(f1576,plain,
~ spl0_27,
inference(avatar_contradiction_clause,[],[f1575]) ).
thf(f1730,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_45 ),
inference(constrained_superposition,[],[f1235,f613]) ).
thf(f1733,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f1730]) ).
thf(f1738,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f1733,f71]) ).
thf(f1741,plain,
( spl0_46
| ~ spl0_1
| ~ spl0_9
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f1738,f612,f139,f70,f617]) ).
thf(f1744,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_25 ),
inference(constrained_superposition,[],[f1233,f286]) ).
thf(f1750,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_25 ),
inference(duplicate_literal_removal,[],[f1744]) ).
thf(f1751,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f1750]) ).
thf(f1756,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_9
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1751,f26]) ).
thf(f1760,plain,
( spl0_46
| ~ spl0_9
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f1756,f285,f139,f617]) ).
thf(f1777,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_24 ),
inference(constrained_superposition,[],[f283,f35]) ).
thf(f1779,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_24 ),
inference(trivial_inequality_removal,[],[f1777]) ).
thf(f1782,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_9
| ~ spl0_23 ),
inference(constrained_superposition,[],[f1233,f279]) ).
thf(f1788,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f1782]) ).
thf(f1793,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1788,f26]) ).
thf(f1795,plain,
( spl0_45
| ~ spl0_9
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1793,f278,f139,f612]) ).
thf(f1838,definition,
( spl0_59
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
thf(f1839,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f1838]) ).
thf(f1859,definition,
( spl0_61
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
thf(f1860,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f1859]) ).
thf(f1903,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_1
| ~ spl0_9 ),
inference(constrained_superposition,[],[f812,f71]) ).
thf(f1905,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( z = X0 ) )
| ~ spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f1903]) ).
thf(f1912,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_9
| ~ spl0_12 ),
inference(constrained_superposition,[],[f1235,f188]) ).
thf(f1918,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_9
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1912]) ).
thf(f1923,plain,
( $false
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1918,f181]) ).
thf(f1924,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1923]) ).
thf(f1933,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_3 ),
inference(constrained_superposition,[],[f89,f29]) ).
thf(f1934,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_3 ),
inference(trivial_inequality_removal,[],[f1933]) ).
thf(f1936,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1934,f26]) ).
thf(f1939,plain,
( $false
| spl0_3
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f1936,f369]) ).
thf(f1940,plain,
( spl0_3
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f1939]) ).
thf(f1949,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f361,f29]) ).
thf(f1953,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f1949]) ).
thf(f1981,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f95,f56]) ).
thf(f1987,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f1981]) ).
thf(f2022,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f1987,f55]) ).
thf(f2032,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f2022]) ).
thf(f2036,plain,
( ~ spl0_3
| spl0_31
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f2032,f94,f357,f88]) ).
thf(f2084,plain,
( spl0_41
| spl0_24 ),
inference(avatar_split_clause,[],[f1779,f282,f572]) ).
thf(f2091,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f330,f56]) ).
thf(f2098,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f2091]) ).
thf(f2103,plain,
( ( $true != $true )
| spl0_28
| ~ spl0_29 ),
inference(constrained_superposition,[],[f467,f2098]) ).
thf(f2104,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_29 ),
inference(constrained_superposition,[],[f1905,f2098]) ).
thf(f2111,plain,
( ! [X0: $i] :
( z
= ( s @ ( s @ X0 ) ) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f2104]) ).
thf(f2112,plain,
( $false
| spl0_28
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f2103]) ).
thf(f2113,plain,
( spl0_28
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f2112]) ).
thf(f2117,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f2111,f26]) ).
thf(f2118,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f2117]) ).
thf(f2208,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f1953,f29]) ).
thf(f2211,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f2208]) ).
thf(f2218,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_12
| ~ spl0_32 ),
inference(constrained_superposition,[],[f1177,f2211]) ).
thf(f2224,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_12
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f2218]) ).
thf(f2226,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_12
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f2224,f26]) ).
thf(f2227,plain,
( spl0_27
| spl0_10
| spl0_12
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f2226,f360,f187,f180,f309]) ).
thf(f2360,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f30,f539]) ).
thf(f2361,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f2360]) ).
thf(f2364,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_10 ),
inference(avatar_component_clause,[],[f180]) ).
thf(f2366,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_9
| spl0_10 ),
inference(constrained_superposition,[],[f2364,f733]) ).
thf(f2367,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_9
| spl0_10 ),
inference(trivial_inequality_removal,[],[f2366]) ).
thf(f2375,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| ~ spl0_35 ),
inference(constrained_superposition,[],[f2361,f792]) ).
thf(f2380,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_9
| ~ spl0_35 ),
inference(duplicate_literal_removal,[],[f2375]) ).
thf(f2381,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f2380]) ).
thf(f2392,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_9
| ~ spl0_35
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f2381,f573]) ).
thf(f2396,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_35
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f2392,f26]) ).
thf(f2400,plain,
( spl0_34
| ~ spl0_9
| ~ spl0_35
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f2396,f572,f538,f139,f465]) ).
thf(f2507,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f30,f241]) ).
thf(f2508,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f2507]) ).
thf(f2518,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_9
| ~ spl0_18 ),
inference(constrained_superposition,[],[f2508,f792]) ).
thf(f2525,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_9
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f2518]) ).
thf(f2526,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_9
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f2525]) ).
thf(f2537,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_9
| ~ spl0_18
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f2526,f573]) ).
thf(f2544,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_18
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f2537,f26]) ).
thf(f2547,plain,
( spl0_34
| ~ spl0_9
| ~ spl0_18
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f2544,f572,f240,f139,f465]) ).
thf(f2640,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f30,f550]) ).
thf(f2641,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f2640]) ).
thf(f2644,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_38
| ~ spl0_46 ),
inference(constrained_superposition,[],[f2641,f618]) ).
thf(f2667,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_38
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f2644]) ).
thf(f2677,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_38
| ~ spl0_41
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2667,f573]) ).
thf(f2788,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_9
| ~ spl0_38
| ~ spl0_41
| ~ spl0_46 ),
inference(constrained_superposition,[],[f1235,f2677]) ).
thf(f2794,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_38
| ~ spl0_41
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f2788]) ).
thf(f2799,plain,
( $false
| ~ spl0_9
| ~ spl0_34
| ~ spl0_38
| ~ spl0_41
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2794,f466]) ).
thf(f2800,plain,
( ~ spl0_9
| ~ spl0_34
| ~ spl0_38
| ~ spl0_41
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2799]) ).
thf(f2801,plain,
( spl0_41
| ~ spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f2367,f180,f139,f572]) ).
thf(f2818,definition,
( spl0_67
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
thf(f2819,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f2818]) ).
thf(f2820,plain,
( ~ spl0_41
| spl0_67
| ~ spl0_38
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f2667,f617,f549,f2818,f572]) ).
thf(f2846,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_9 ),
inference(constrained_superposition,[],[f812,f71]) ).
thf(f2848,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( z = X0 ) )
| ~ spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f2846]) ).
thf(f2860,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_9
| ~ spl0_10 ),
inference(constrained_superposition,[],[f812,f181]) ).
thf(f2861,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f30,f181]) ).
thf(f2862,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f2861]) ).
thf(f2863,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 ) )
| ~ spl0_9
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f2860]) ).
thf(f2873,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_9
| ~ spl0_10
| ~ spl0_38 ),
inference(constrained_superposition,[],[f2863,f550]) ).
thf(f2874,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_9
| ~ spl0_10
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f2873]) ).
thf(f2875,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_10
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f2874,f26]) ).
thf(f2876,plain,
( spl0_67
| ~ spl0_9
| ~ spl0_10
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f2875,f549,f180,f139,f2818]) ).
thf(f2877,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_42
| ~ spl0_67 ),
inference(constrained_superposition,[],[f576,f2819]) ).
thf(f2879,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_9
| ~ spl0_67 ),
inference(constrained_superposition,[],[f1235,f2819]) ).
thf(f2880,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_67 ),
inference(constrained_superposition,[],[f30,f2819]) ).
thf(f2882,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f2880]) ).
thf(f2883,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_42
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f2877]) ).
thf(f2884,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_9
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f2879]) ).
thf(f2887,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_42
| ~ spl0_67 ),
inference(constrained_superposition,[],[f2848,f2883]) ).
thf(f2896,plain,
( ! [X0: $i] :
( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_42
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f2887]) ).
thf(f2899,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_42
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f2896,f26]) ).
thf(f2900,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_42
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[],[f2899]) ).
thf(f2904,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f1839,f155]) ).
thf(f2909,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f2904]) ).
thf(f2913,plain,
( spl0_16
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f2909,f1838,f233]) ).
thf(f2921,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_46
| ~ spl0_67 ),
inference(constrained_superposition,[],[f2882,f618]) ).
thf(f2926,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_9
| ~ spl0_67 ),
inference(constrained_superposition,[],[f2882,f792]) ).
thf(f2929,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_46
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f2921]) ).
thf(f2934,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_9
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f2926]) ).
thf(f2945,plain,
( ~ spl0_14
| ~ spl0_46
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f2929,f2818,f617,f202]) ).
thf(f2946,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) ) )
| ~ spl0_9
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f2934,f2884]) ).
thf(f2947,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f2946,f26]) ).
thf(f2948,plain,
( ~ spl0_14
| ~ spl0_9
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f2947,f2818,f139,f202]) ).
thf(f3141,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f30,f279]) ).
thf(f3152,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f3141]) ).
thf(f3157,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_9
| ~ spl0_23 ),
inference(constrained_superposition,[],[f3152,f792]) ).
thf(f3158,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_9
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f3157]) ).
thf(f3162,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_23
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f3158,f573]) ).
thf(f3165,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_9
| ~ spl0_23
| ~ spl0_41
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f3162,f2884]) ).
thf(f3166,plain,
( ! [X0: $i] :
( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_23
| ~ spl0_41
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f3165,f2848]) ).
thf(f3167,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_23
| ~ spl0_41
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f3166,f26]) ).
thf(f3168,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_23
| ~ spl0_41
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[],[f3167]) ).
thf(f3186,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f983,f29]) ).
thf(f3190,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f3186]) ).
thf(f3217,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f30,f313]) ).
thf(f3220,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f3217]) ).
thf(f3223,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f3190,f36]) ).
thf(f3224,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f3190,f29]) ).
thf(f3226,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f3223]) ).
thf(f3228,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_54 ),
inference(duplicate_literal_removal,[],[f3224]) ).
thf(f3229,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f3228]) ).
thf(f3230,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true ) )
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f3226,f28]) ).
thf(f3237,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_28
| ~ spl0_41 ),
inference(constrained_superposition,[],[f3220,f573]) ).
thf(f3246,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_28
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f3237]) ).
thf(f3249,plain,
( $false
| ~ spl0_14
| ~ spl0_28
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f3246,f203]) ).
thf(f3250,plain,
( ~ spl0_14
| ~ spl0_28
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f3249]) ).
thf(f3313,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f556,f156]) ).
thf(f3314,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f556,f55]) ).
thf(f3316,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f556,f34]) ).
thf(f3320,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f3316]) ).
thf(f3321,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f3314]) ).
thf(f3322,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f3313]) ).
thf(f3364,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f3322,f156]) ).
thf(f3366,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f3322,f35]) ).
thf(f3370,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f3366]) ).
thf(f3372,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_40 ),
inference(duplicate_literal_removal,[],[f3364]) ).
thf(f3373,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f3372]) ).
thf(f3375,definition,
( spl0_73
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
thf(f3376,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f3375]) ).
thf(f3377,plain,
( spl0_73
| ~ spl0_7
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f3370,f555,f118,f3375]) ).
thf(f3379,definition,
( spl0_74
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
thf(f3380,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f3379]) ).
thf(f3381,plain,
( spl0_74
| ~ spl0_22
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f3373,f555,f275,f3379]) ).
thf(f3420,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f30,f3229]) ).
thf(f3428,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f3420]) ).
thf(f3431,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ X0 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f3428,f30]) ).
thf(f3432,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_14
| ~ spl0_54 ),
inference(constrained_superposition,[],[f3431,f203]) ).
thf(f3435,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_14
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f3432]) ).
thf(f3479,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f30,f3230]) ).
thf(f3483,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f3479]) ).
thf(f3485,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f3483,f30]) ).
thf(f3486,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_14
| ~ spl0_54 ),
inference(constrained_superposition,[],[f3485,f203]) ).
thf(f3489,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_14
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f3486]) ).
thf(f3492,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= z ) )
| ~ spl0_9
| ~ spl0_14
| ~ spl0_54 ),
inference(constrained_superposition,[],[f3489,f792]) ).
thf(f3493,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_9
| ~ spl0_14
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f3492]) ).
thf(f3494,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_9
| ~ spl0_14
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f3493,f26]) ).
thf(f3496,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( z = X0 )
| ( z = X1 )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) ) )
| ~ spl0_9
| ~ spl0_14
| ~ spl0_54 ),
inference(constrained_superposition,[],[f812,f3494]) ).
thf(f3499,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( z = X0 )
| ( z = X1 ) )
| ~ spl0_9
| ~ spl0_14
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f3496]) ).
thf(f3622,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f30,f358]) ).
thf(f3624,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f3622]) ).
thf(f3629,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f3624,f30]) ).
thf(f3640,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_9
| ~ spl0_31 ),
inference(constrained_superposition,[],[f3629,f792]) ).
thf(f3644,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_9
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f3640]) ).
thf(f3656,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_9
| ~ spl0_14
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f3644,f203]) ).
thf(f3658,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ~ spl0_9
| ~ spl0_14
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f3656,f26]) ).
thf(f3659,plain,
( spl0_53
| ~ spl0_9
| ~ spl0_14
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f3658,f357,f202,f139,f840]) ).
thf(f3778,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_14
| ~ spl0_54
| ~ spl0_73 ),
inference(constrained_superposition,[],[f3499,f3376]) ).
thf(f3796,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( z
= ( s @ z ) ) )
| ~ spl0_9
| ~ spl0_14
| ~ spl0_54
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f3778]) ).
thf(f3803,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_9
| ~ spl0_14
| ~ spl0_54
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f3796,f26]) ).
thf(f3808,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_9
| ~ spl0_14
| ~ spl0_54
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f3803,f26]) ).
thf(f3811,plain,
( spl0_46
| ~ spl0_9
| ~ spl0_14
| ~ spl0_54
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f3808,f3375,f982,f202,f139,f617]) ).
thf(f3814,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_46
| ~ spl0_54 ),
inference(constrained_superposition,[],[f3435,f618]) ).
thf(f3825,plain,
( ! [X0: $i] :
( ( s @ ( s @ ( s @ X0 ) ) )
= ( s @ z ) )
| ~ spl0_14
| ~ spl0_46
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f3814]) ).
thf(f3833,plain,
( spl0_56
| ~ spl0_14
| ~ spl0_46
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f3825,f982,f617,f202,f1041]) ).
thf(f3845,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_10
| ~ spl0_28 ),
inference(constrained_superposition,[],[f2862,f313]) ).
thf(f3848,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_10
| ~ spl0_31 ),
inference(constrained_superposition,[],[f2862,f358]) ).
thf(f3851,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_10
| ~ spl0_54 ),
inference(constrained_superposition,[],[f2862,f3230]) ).
thf(f3859,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_10
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f3851]) ).
thf(f3862,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_10
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f3845]) ).
thf(f3864,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_10
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f3848]) ).
thf(f3958,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f581,f34]) ).
thf(f3963,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_43 ),
inference(duplicate_literal_removal,[],[f3958]) ).
thf(f3964,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f3963]) ).
thf(f3969,plain,
( spl0_59
| spl0_35
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f3964,f580,f538,f1838]) ).
thf(f4009,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_10
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f3859,f26]) ).
thf(f4011,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f3862,f312,f180,f70]) ).
thf(f4012,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_10
| spl0_12
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f3864,f1177]) ).
thf(f4013,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_10
| spl0_12
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f4009,f1177]) ).
thf(f4015,plain,
( ~ spl0_1
| ~ spl0_10
| spl0_12
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f4012,f357,f187,f180,f70]) ).
thf(f4016,plain,
( ~ spl0_1
| ~ spl0_10
| spl0_12
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f4013,f982,f187,f180,f70]) ).
thf(f4018,plain,
( spl0_10
| spl0_55
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f3320,f555,f986,f180]) ).
thf(f4019,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f30,f71]) ).
thf(f4020,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f4019]) ).
thf(f4051,plain,
( spl0_12
| spl0_54
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f3321,f555,f982,f187]) ).
thf(f6040,plain,
( ( $true != $true )
| spl0_10
| ~ spl0_53 ),
inference(constrained_superposition,[],[f2364,f841]) ).
thf(f6043,plain,
( $false
| spl0_10
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f6040]) ).
thf(f6044,plain,
( spl0_10
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[],[f6043]) ).
thf(f6254,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(extensionality_resolution,[],[f157,f26]) ).
thf(f6255,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(extensionality_resolution,[],[f157,f26]) ).
thf(f6520,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( r @ X1 @ X2 )
= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X3 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( X1 = X2 )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f40,f34]) ).
thf(f6531,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( r @ X1 @ X2 )
= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X3 @ z ) )
| ( X1 = X2 ) ),
inference(trivial_inequality_removal,[],[f6520]) ).
thf(f6580,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X3 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(constrained_superposition,[],[f27,f6254]) ).
thf(f6583,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X3 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f6580]) ).
thf(f6612,definition,
( spl0_87
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
thf(f6613,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f6612]) ).
thf(f6619,definition,
( spl0_89
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
thf(f6620,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f6619]) ).
thf(f6693,definition,
( spl0_95
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
thf(f6694,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f6693]) ).
thf(f6715,definition,
( spl0_97
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
thf(f6716,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f6715]) ).
thf(f6725,definition,
( spl0_99
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
thf(f6726,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f6725]) ).
thf(f7053,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_99 ),
inference(avatar_component_clause,[],[f6725]) ).
thf(f7281,definition,
( spl0_109
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
thf(f7282,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_109 ),
inference(avatar_component_clause,[],[f7281]) ).
thf(f7284,definition,
( spl0_110
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
thf(f7285,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f7284]) ).
thf(f7292,definition,
( spl0_111
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
thf(f7293,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f7292]) ).
thf(f7321,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_99 ),
inference(constrained_superposition,[],[f30,f6726]) ).
thf(f7322,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_99 ),
inference(trivial_inequality_removal,[],[f7321]) ).
thf(f7364,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f30,f539]) ).
thf(f7367,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f7364]) ).
thf(f7684,definition,
( spl0_113
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
thf(f7685,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f7684]) ).
thf(f7790,definition,
( spl0_114
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
thf(f7791,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f7790]) ).
thf(f7803,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_97
| ~ spl0_99 ),
inference(constrained_superposition,[],[f7322,f6716]) ).
thf(f7819,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_97
| ~ spl0_99 ),
inference(trivial_inequality_removal,[],[f7803]) ).
thf(f7833,plain,
( $false
| ~ spl0_1
| ~ spl0_97
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[],[f7819,f71]) ).
thf(f7834,plain,
( ~ spl0_1
| ~ spl0_97
| ~ spl0_99 ),
inference(avatar_contradiction_clause,[],[f7833]) ).
thf(f7875,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_114 ),
inference(constrained_superposition,[],[f156,f7791]) ).
thf(f8022,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f7875,f25]) ).
thf(f8063,plain,
( $false
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f8022,f31]) ).
thf(f8064,plain,
~ spl0_114,
inference(avatar_contradiction_clause,[],[f8063]) ).
thf(f8090,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) ) ),
inference(constrained_superposition,[],[f48,f6255]) ).
thf(f8092,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f68,f6255]) ).
thf(f8103,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f8092]) ).
thf(f8104,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f8090]) ).
thf(f8121,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f8103,f607]) ).
thf(f8126,definition,
( spl0_120
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
thf(f8127,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_120 ),
inference(avatar_component_clause,[],[f8126]) ).
thf(f8129,definition,
( spl0_121
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
thf(f8130,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f8129]) ).
thf(f8132,plain,
( spl0_121
| spl0_110
| ~ spl0_109
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f8121,f606,f7281,f7284,f8129]) ).
thf(f8133,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_120 ),
inference(constrained_superposition,[],[f8127,f34]) ).
thf(f8135,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_120 ),
inference(trivial_inequality_removal,[],[f8133]) ).
thf(f8139,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_109 ),
inference(constrained_superposition,[],[f7282,f29]) ).
thf(f8142,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_109 ),
inference(trivial_inequality_removal,[],[f8139]) ).
thf(f8146,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_44
| spl0_109 ),
inference(forward_subsumption_resolution,[],[f8142,f607]) ).
thf(f8149,plain,
( spl0_114
| ~ spl0_44
| spl0_109 ),
inference(avatar_split_clause,[],[f8146,f7281,f606,f7790]) ).
thf(f8367,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ X2 ) ) )
| ( ( r @ ( s @ X2 ) @ z )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(extensionality_resolution,[],[f6531,f26]) ).
thf(f8379,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ X2 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z = X2 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(constrained_superposition,[],[f6531,f35]) ).
thf(f8390,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X2 ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ X2 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(duplicate_literal_removal,[],[f8367]) ).
thf(f8392,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z = X2 )
| ( $true
= ( r @ X2 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(duplicate_literal_removal,[],[f8379]) ).
thf(f8393,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( z = X2 )
| ( $true
= ( r @ X2 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(trivial_inequality_removal,[],[f8392]) ).
thf(f8400,definition,
( spl0_124
<=> ! [X2: $i,X1: $i] :
( ( ( r @ ( s @ X2 ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
thf(f8401,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X2 ) ) )
| ( ( r @ ( s @ X2 ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f8400]) ).
thf(f8403,definition,
( spl0_125
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
thf(f8404,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f8403]) ).
thf(f8405,plain,
( spl0_124
| spl0_125 ),
inference(avatar_split_clause,[],[f8390,f8403,f8400]) ).
thf(f8407,definition,
( spl0_126
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
thf(f8408,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f8407]) ).
thf(f8410,definition,
( spl0_127
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ X2 @ z ) )
| ( z = X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
thf(f8411,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ X2 @ z ) )
| ( z = X2 ) )
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f8410]) ).
thf(f8412,plain,
( spl0_126
| spl0_127 ),
inference(avatar_split_clause,[],[f8393,f8410,f8407]) ).
thf(f8435,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_10
| ~ spl0_126 ),
inference(constrained_superposition,[],[f2364,f8408]) ).
thf(f8440,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_10
| ~ spl0_126 ),
inference(trivial_inequality_removal,[],[f8435]) ).
thf(f8443,plain,
( $false
| spl0_10
| spl0_41
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f8440,f1038]) ).
thf(f8444,plain,
( spl0_10
| spl0_41
| ~ spl0_126 ),
inference(avatar_contradiction_clause,[],[f8443]) ).
thf(f8445,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( z = X1 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X1 @ z ) ) )
| ~ spl0_127 ),
inference(constrained_superposition,[],[f8411,f29]) ).
thf(f8447,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( z = X1 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X1 @ z ) ) )
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f8445]) ).
thf(f8450,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z
= ( s @ X1 ) )
| ( ( s @ X0 )
= z ) )
| ~ spl0_127 ),
inference(constrained_superposition,[],[f8447,f36]) ).
thf(f8460,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ X1 ) )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( X0 = X1 ) )
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f8450]) ).
thf(f8469,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z
= ( s @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f8460,f26]) ).
thf(f8472,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f8469,f26]) ).
thf(f9301,plain,
( spl0_111
| spl0_120 ),
inference(avatar_split_clause,[],[f8135,f8126,f7292]) ).
thf(f9624,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ ( s @ z ) ) )
| spl0_89 ),
inference(avatar_component_clause,[],[f6619]) ).
thf(f9652,definition,
( spl0_140
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
thf(f9653,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f9652]) ).
thf(f9655,definition,
( spl0_141
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
thf(f9656,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f9655]) ).
thf(f9659,definition,
( spl0_142
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
thf(f9660,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f9659]) ).
thf(f9662,definition,
( spl0_143
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
thf(f9663,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f9662]) ).
thf(f9666,definition,
( spl0_144
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
thf(f9667,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f9666]) ).
thf(f9669,definition,
( spl0_145
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
thf(f9670,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f9669]) ).
thf(f9673,definition,
( spl0_146
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
thf(f9674,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f9673]) ).
thf(f9676,definition,
( spl0_147
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
thf(f9677,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f9676]) ).
thf(f9692,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_89 ),
inference(constrained_superposition,[],[f156,f6620]) ).
thf(f9842,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f9692,f31]) ).
thf(f9873,plain,
( $false
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f9842,f25]) ).
thf(f9874,plain,
~ spl0_89,
inference(avatar_contradiction_clause,[],[f9873]) ).
thf(f9881,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_89
| ~ spl0_127 ),
inference(extensionality_resolution,[],[f8472,f9624]) ).
thf(f9882,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_89
| ~ spl0_127 ),
inference(extensionality_resolution,[],[f8472,f9624]) ).
thf(f9889,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_89 ),
inference(extensionality_resolution,[],[f157,f9624]) ).
thf(f9890,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_89 ),
inference(extensionality_resolution,[],[f157,f9624]) ).
thf(f9891,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_89 ),
inference(extensionality_resolution,[],[f53,f9624]) ).
thf(f9892,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_89 ),
inference(extensionality_resolution,[],[f53,f9624]) ).
thf(f9898,plain,
( spl0_140
| spl0_141
| spl0_89 ),
inference(avatar_split_clause,[],[f9892,f6619,f9655,f9652]) ).
thf(f9899,plain,
( spl0_146
| spl0_147
| spl0_89 ),
inference(avatar_split_clause,[],[f9891,f6619,f9676,f9673]) ).
thf(f9900,plain,
( spl0_142
| spl0_143
| spl0_89 ),
inference(avatar_split_clause,[],[f9890,f6619,f9662,f9659]) ).
thf(f9901,plain,
( spl0_144
| spl0_145
| spl0_89 ),
inference(avatar_split_clause,[],[f9889,f6619,f9669,f9666]) ).
thf(f9938,definition,
( spl0_149
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
thf(f9939,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f9938]) ).
thf(f9941,definition,
( spl0_150
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
thf(f9942,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f9941]) ).
thf(f9948,definition,
( spl0_152
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
thf(f9949,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f9948]) ).
thf(f9959,definition,
( spl0_155
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
thf(f9960,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f9959]) ).
thf(f9963,definition,
( spl0_156
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
thf(f9964,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_156 ),
inference(avatar_component_clause,[],[f9963]) ).
thf(f9966,definition,
( spl0_157
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
thf(f9967,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f9966]) ).
thf(f9970,definition,
( spl0_158
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
thf(f9971,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_158 ),
inference(avatar_component_clause,[],[f9970]) ).
thf(f9973,definition,
( spl0_159
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
thf(f9974,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f9973]) ).
thf(f10000,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_158 ),
inference(constrained_superposition,[],[f9971,f55]) ).
thf(f10001,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_158 ),
inference(constrained_superposition,[],[f9971,f36]) ).
thf(f10003,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_158 ),
inference(trivial_inequality_removal,[],[f10001]) ).
thf(f10004,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_158 ),
inference(trivial_inequality_removal,[],[f10000]) ).
thf(f10006,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_44
| spl0_158 ),
inference(forward_subsumption_resolution,[],[f10003,f607]) ).
thf(f10007,plain,
( $false
| ~ spl0_44
| spl0_158 ),
inference(forward_subsumption_resolution,[],[f10004,f607]) ).
thf(f10008,plain,
( ~ spl0_44
| spl0_158 ),
inference(avatar_contradiction_clause,[],[f10007]) ).
thf(f10010,plain,
( $false
| ~ spl0_44
| spl0_158 ),
inference(forward_subsumption_resolution,[],[f10006,f26]) ).
thf(f10011,plain,
( ~ spl0_44
| spl0_158 ),
inference(avatar_contradiction_clause,[],[f10010]) ).
thf(f10051,definition,
( spl0_160
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
thf(f10052,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f10051]) ).
thf(f10054,definition,
( spl0_161
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
thf(f10055,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f10054]) ).
thf(f10065,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_141 ),
inference(constrained_superposition,[],[f68,f9656]) ).
thf(f10069,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_127
| ~ spl0_141 ),
inference(constrained_superposition,[],[f8447,f9656]) ).
thf(f10074,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f10065]) ).
thf(f10086,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_127
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f10069]) ).
thf(f10090,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_44
| ~ spl0_141 ),
inference(forward_subsumption_resolution,[],[f10074,f607]) ).
thf(f10096,plain,
( spl0_159
| ~ spl0_158
| ~ spl0_44
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f10090,f9655,f606,f9970,f9973]) ).
thf(f10135,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_127
| ~ spl0_147 ),
inference(constrained_superposition,[],[f8447,f9677]) ).
thf(f10152,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_127
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f10135]) ).
thf(f10157,definition,
( spl0_162
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
thf(f10158,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f10157]) ).
thf(f10160,definition,
( spl0_163
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
thf(f10161,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f10160]) ).
thf(f10173,definition,
( spl0_166
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
thf(f10174,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f10173]) ).
thf(f10176,definition,
( spl0_167
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
thf(f10177,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f10176]) ).
thf(f10184,definition,
( spl0_169
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).
thf(f10185,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f10184]) ).
thf(f10187,definition,
( spl0_170
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
thf(f10188,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_170 ),
inference(avatar_component_clause,[],[f10187]) ).
thf(f10191,definition,
( spl0_171
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
thf(f10192,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_171 ),
inference(avatar_component_clause,[],[f10191]) ).
thf(f10194,definition,
( spl0_172
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
thf(f10195,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f10194]) ).
thf(f10220,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_170 ),
inference(constrained_superposition,[],[f10188,f36]) ).
thf(f10224,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_170 ),
inference(trivial_inequality_removal,[],[f10220]) ).
thf(f10228,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_44
| spl0_170 ),
inference(forward_subsumption_resolution,[],[f10224,f607]) ).
thf(f10229,plain,
( $false
| ~ spl0_44
| spl0_170 ),
inference(forward_subsumption_resolution,[],[f10228,f26]) ).
thf(f10230,plain,
( ~ spl0_44
| spl0_170 ),
inference(avatar_contradiction_clause,[],[f10229]) ).
thf(f10316,definition,
( spl0_177
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).
thf(f10317,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f10316]) ).
thf(f10343,definition,
( spl0_178
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
thf(f10344,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f10343]) ).
thf(f10346,definition,
( spl0_179
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
thf(f10347,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f10346]) ).
thf(f10358,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f68,f9660]) ).
thf(f10362,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_127
| ~ spl0_142 ),
inference(constrained_superposition,[],[f8447,f9660]) ).
thf(f10372,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f10358]) ).
thf(f10374,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_127
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f10362]) ).
thf(f10386,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_44
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f10372,f607]) ).
thf(f10390,plain,
( ~ spl0_170
| spl0_169
| ~ spl0_44
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f10386,f9659,f606,f10184,f10187]) ).
thf(f10422,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_144 ),
inference(constrained_superposition,[],[f68,f9667]) ).
thf(f10426,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_127
| ~ spl0_144 ),
inference(constrained_superposition,[],[f8447,f9667]) ).
thf(f10434,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_127
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f10426]) ).
thf(f10437,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f10422]) ).
thf(f10448,definition,
( spl0_180
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).
thf(f10449,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f10448]) ).
thf(f10456,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_44
| ~ spl0_144 ),
inference(forward_subsumption_resolution,[],[f10437,f607]) ).
thf(f10465,definition,
( spl0_184
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
thf(f10466,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f10465]) ).
thf(f10468,definition,
( spl0_185
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
thf(f10469,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f10468]) ).
thf(f10472,definition,
( spl0_186
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
thf(f10473,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f10472]) ).
thf(f10475,definition,
( spl0_187
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).
thf(f10476,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_187 ),
inference(avatar_component_clause,[],[f10475]) ).
thf(f10479,definition,
( spl0_188
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
thf(f10480,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_188 ),
inference(avatar_component_clause,[],[f10479]) ).
thf(f10482,definition,
( spl0_189
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).
thf(f10483,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f10482]) ).
thf(f10484,plain,
( ~ spl0_188
| spl0_189
| ~ spl0_44
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f10456,f9666,f606,f10482,f10479]) ).
thf(f10533,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_141
| ~ spl0_159 ),
inference(constrained_superposition,[],[f9974,f9656]) ).
thf(f10535,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_159 ),
inference(constrained_superposition,[],[f9974,f155]) ).
thf(f10537,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_159 ),
inference(constrained_superposition,[],[f9974,f55]) ).
thf(f10539,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_159 ),
inference(constrained_superposition,[],[f9974,f34]) ).
thf(f10542,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f10537]) ).
thf(f10544,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f10539]) ).
thf(f10547,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_141
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f10533]) ).
thf(f10549,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f10535]) ).
thf(f10590,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_141
| ~ spl0_159 ),
inference(constrained_superposition,[],[f10547,f9656]) ).
thf(f10602,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_141
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f10590]) ).
thf(f10609,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_141
| ~ spl0_159 ),
inference(constrained_superposition,[],[f10602,f29]) ).
thf(f10611,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_141
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f10609]) ).
thf(f10614,plain,
( spl0_160
| spl0_150
| ~ spl0_141
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f10611,f9973,f9655,f9941,f10051]) ).
thf(f10620,definition,
( spl0_191
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
thf(f10621,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f10620]) ).
thf(f10625,definition,
( spl0_192
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
thf(f10626,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_192 ),
inference(avatar_component_clause,[],[f10625]) ).
thf(f10628,definition,
( spl0_193
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
thf(f10629,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f10628]) ).
thf(f10633,definition,
( spl0_194
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
thf(f10634,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f10633]) ).
thf(f10648,definition,
( spl0_198
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
thf(f10649,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f10648]) ).
thf(f10657,definition,
( spl0_200
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).
thf(f10658,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f10657]) ).
thf(f10660,definition,
( spl0_201
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_201])],[avatar_definition]) ).
thf(f10661,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_201 ),
inference(avatar_component_clause,[],[f10660]) ).
thf(f10668,definition,
( spl0_203
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).
thf(f10669,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f10668]) ).
thf(f10671,definition,
( spl0_204
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_204])],[avatar_definition]) ).
thf(f10672,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_204 ),
inference(avatar_component_clause,[],[f10671]) ).
thf(f10679,definition,
( spl0_206
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_206])],[avatar_definition]) ).
thf(f10680,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f10679]) ).
thf(f10682,definition,
( spl0_207
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).
thf(f10683,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| spl0_207 ),
inference(avatar_component_clause,[],[f10682]) ).
thf(f10686,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_127
| ~ spl0_141 ),
inference(forward_subsumption_resolution,[],[f10086,f26]) ).
thf(f10694,plain,
( spl0_201
| spl0_111
| spl0_200
| spl0_89
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f9882,f8410,f6619,f10657,f7292,f10660]) ).
thf(f10701,definition,
( spl0_210
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).
thf(f10702,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_210 ),
inference(avatar_component_clause,[],[f10701]) ).
thf(f10706,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_127
| ~ spl0_144 ),
inference(forward_subsumption_resolution,[],[f10434,f26]) ).
thf(f10708,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_127
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f10374,f26]) ).
thf(f10710,definition,
( spl0_211
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).
thf(f10711,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f10710]) ).
thf(f10720,definition,
( spl0_213
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).
thf(f10721,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f10720]) ).
thf(f10735,plain,
( spl0_55
| spl0_201
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f10544,f9973,f10660,f986]) ).
thf(f10741,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_127
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f10152,f26]) ).
thf(f10750,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_127
| ~ spl0_141 ),
inference(forward_subsumption_resolution,[],[f10686,f26]) ).
thf(f10756,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_127
| ~ spl0_144 ),
inference(forward_subsumption_resolution,[],[f10706,f26]) ).
thf(f10757,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_127
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f10708,f26]) ).
thf(f10762,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_127
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f10741,f26]) ).
thf(f10766,plain,
( spl0_203
| spl0_201
| ~ spl0_127
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f10750,f9655,f8410,f10660,f10668]) ).
thf(f10768,plain,
( spl0_211
| spl0_203
| ~ spl0_127
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f10756,f9666,f8410,f10668,f10710]) ).
thf(f10769,plain,
( spl0_211
| spl0_203
| ~ spl0_127
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f10757,f9659,f8410,f10668,f10710]) ).
thf(f10772,plain,
( spl0_203
| spl0_201
| ~ spl0_127
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f10762,f9676,f8410,f10660,f10668]) ).
thf(f10784,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f30,f10649]) ).
thf(f10787,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f10784]) ).
thf(f10788,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_192 ),
inference(constrained_superposition,[],[f10626,f56]) ).
thf(f10790,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_192 ),
inference(constrained_superposition,[],[f10626,f29]) ).
thf(f10791,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_192 ),
inference(trivial_inequality_removal,[],[f10788]) ).
thf(f10792,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_192 ),
inference(trivial_inequality_removal,[],[f10790]) ).
thf(f10794,plain,
( spl0_97
| spl0_192 ),
inference(avatar_split_clause,[],[f10791,f10625,f6715]) ).
thf(f10795,plain,
( spl0_97
| spl0_114
| spl0_192 ),
inference(avatar_split_clause,[],[f10792,f10625,f7790,f6715]) ).
thf(f10806,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_35
| ~ spl0_150 ),
inference(constrained_superposition,[],[f7367,f9942]) ).
thf(f10808,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_35
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f10806]) ).
thf(f10819,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| spl0_207 ),
inference(constrained_superposition,[],[f10683,f34]) ).
thf(f10821,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_207 ),
inference(trivial_inequality_removal,[],[f10819]) ).
thf(f10837,definition,
( spl0_219
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).
thf(f10838,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f10837]) ).
thf(f10842,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_35
| ~ spl0_184 ),
inference(constrained_superposition,[],[f7367,f10466]) ).
thf(f10845,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_35
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f10842]) ).
thf(f10867,definition,
( spl0_220
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_220])],[avatar_definition]) ).
thf(f10868,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_220 ),
inference(avatar_component_clause,[],[f10867]) ).
thf(f10871,definition,
( spl0_221
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).
thf(f10872,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f10871]) ).
thf(f10878,definition,
( spl0_223
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
thf(f10879,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f10878]) ).
thf(f10882,definition,
( spl0_224
<=> ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).
thf(f10883,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f10882]) ).
thf(f10887,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_28
| ~ spl0_35
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f10808,f313]) ).
thf(f10893,definition,
( spl0_226
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_226])],[avatar_definition]) ).
thf(f10894,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_226 ),
inference(avatar_component_clause,[],[f10893]) ).
thf(f10897,definition,
( spl0_227
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
thf(f10898,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f10897]) ).
thf(f10914,plain,
( spl0_111
| spl0_201
| spl0_221
| spl0_89
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f9881,f8410,f6619,f10871,f10660,f7292]) ).
thf(f10915,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_28
| ~ spl0_35
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f10845,f313]) ).
thf(f10916,plain,
( spl0_203
| spl0_207 ),
inference(avatar_split_clause,[],[f10821,f10682,f10668]) ).
thf(f10919,plain,
( spl0_201
| ~ spl0_28
| ~ spl0_35
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f10887,f9941,f538,f312,f10660]) ).
thf(f10921,plain,
( spl0_211
| ~ spl0_28
| ~ spl0_35
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f10915,f10465,f538,f312,f10710]) ).
thf(f10923,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_111 ),
inference(constrained_superposition,[],[f30,f7293]) ).
thf(f10924,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f10923]) ).
thf(f10925,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_201 ),
inference(constrained_superposition,[],[f30,f10661]) ).
thf(f10926,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f10925]) ).
thf(f10927,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f30,f10669]) ).
thf(f10928,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f10927]) ).
thf(f10929,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_211 ),
inference(constrained_superposition,[],[f30,f10711]) ).
thf(f10930,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f10929]) ).
thf(f10954,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_150
| ~ spl0_201 ),
inference(constrained_superposition,[],[f10926,f9942]) ).
thf(f10960,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_150
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f10954]) ).
thf(f10962,plain,
( $false
| ~ spl0_1
| ~ spl0_150
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f10960,f71]) ).
thf(f10963,plain,
( ~ spl0_1
| ~ spl0_150
| ~ spl0_201 ),
inference(avatar_contradiction_clause,[],[f10962]) ).
thf(f10965,definition,
( spl0_231
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_231])],[avatar_definition]) ).
thf(f10966,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_231 ),
inference(avatar_component_clause,[],[f10965]) ).
thf(f10968,definition,
( spl0_232
<=> ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).
thf(f10969,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_232 ),
inference(avatar_component_clause,[],[f10968]) ).
thf(f11035,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_35
| ~ spl0_140 ),
inference(constrained_superposition,[],[f7367,f9653]) ).
thf(f11036,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_140 ),
inference(constrained_superposition,[],[f30,f9653]) ).
thf(f11037,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_35
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f11035]) ).
thf(f11039,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f11036]) ).
thf(f11043,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_140
| ~ spl0_203 ),
inference(constrained_superposition,[],[f10928,f9653]) ).
thf(f11047,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_140
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f11043]) ).
thf(f11049,plain,
( $false
| ~ spl0_140
| ~ spl0_201
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f11047,f10661]) ).
thf(f11050,plain,
( ~ spl0_140
| ~ spl0_201
| ~ spl0_203 ),
inference(avatar_contradiction_clause,[],[f11049]) ).
thf(f11051,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_226 ),
inference(avatar_component_clause,[],[f10893]) ).
thf(f11052,plain,
( spl0_203
| ~ spl0_226
| ~ spl0_35
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f11037,f9652,f538,f10893,f10668]) ).
thf(f11053,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_210 ),
inference(constrained_superposition,[],[f10702,f34]) ).
thf(f11055,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| spl0_210 ),
inference(trivial_inequality_removal,[],[f11053]) ).
thf(f11073,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_146
| ~ spl0_201 ),
inference(constrained_superposition,[],[f10926,f9674]) ).
thf(f11077,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_146
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f11073]) ).
thf(f11127,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_97
| ~ spl0_111 ),
inference(constrained_superposition,[],[f10924,f6716]) ).
thf(f11130,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_97
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f11127]) ).
thf(f11134,plain,
( $false
| ~ spl0_1
| ~ spl0_97
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f11130,f71]) ).
thf(f11135,plain,
( ~ spl0_1
| ~ spl0_97
| ~ spl0_111 ),
inference(avatar_contradiction_clause,[],[f11134]) ).
thf(f11139,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| spl0_204 ),
inference(constrained_superposition,[],[f10672,f34]) ).
thf(f11141,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_204 ),
inference(trivial_inequality_removal,[],[f11139]) ).
thf(f11150,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_35
| ~ spl0_231 ),
inference(constrained_superposition,[],[f7367,f10966]) ).
thf(f11154,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_35
| ~ spl0_231 ),
inference(trivial_inequality_removal,[],[f11150]) ).
thf(f11155,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_227 ),
inference(avatar_component_clause,[],[f10897]) ).
thf(f11156,plain,
( ~ spl0_227
| spl0_111
| ~ spl0_35
| ~ spl0_231 ),
inference(avatar_split_clause,[],[f11154,f10965,f538,f7292,f10897]) ).
thf(f11158,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_18
| spl0_227 ),
inference(constrained_superposition,[],[f11155,f241]) ).
thf(f11163,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_127
| spl0_227 ),
inference(constrained_superposition,[],[f11155,f8472]) ).
thf(f11170,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_127
| spl0_227 ),
inference(trivial_inequality_removal,[],[f11163]) ).
thf(f11173,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_18
| spl0_227 ),
inference(trivial_inequality_removal,[],[f11158]) ).
thf(f11174,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_184
| ~ spl0_211 ),
inference(constrained_superposition,[],[f10930,f10466]) ).
thf(f11178,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_184
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f11174]) ).
thf(f11181,plain,
( $false
| ~ spl0_1
| ~ spl0_184
| ~ spl0_211 ),
inference(forward_subsumption_resolution,[],[f11178,f71]) ).
thf(f11182,plain,
( ~ spl0_1
| ~ spl0_184
| ~ spl0_211 ),
inference(avatar_contradiction_clause,[],[f11181]) ).
thf(f11184,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| spl0_10
| ~ spl0_127
| spl0_227 ),
inference(forward_subsumption_resolution,[],[f11170,f2364]) ).
thf(f11189,plain,
( spl0_211
| spl0_210 ),
inference(avatar_split_clause,[],[f11055,f10701,f10710]) ).
thf(f11194,plain,
( spl0_211
| ~ spl0_18
| spl0_227 ),
inference(avatar_split_clause,[],[f11173,f10897,f240,f10710]) ).
thf(f11201,plain,
( spl0_178
| spl0_211
| spl0_10
| ~ spl0_127
| spl0_227 ),
inference(avatar_split_clause,[],[f11184,f10897,f8410,f180,f10710,f10343]) ).
thf(f11209,definition,
( spl0_234
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_234])],[avatar_definition]) ).
thf(f11210,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_234 ),
inference(avatar_component_clause,[],[f11209]) ).
thf(f11231,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_227 ),
inference(constrained_superposition,[],[f30,f10898]) ).
thf(f11233,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f11231]) ).
thf(f11237,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_37 ),
inference(constrained_superposition,[],[f545,f34]) ).
thf(f11243,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f11237]) ).
thf(f11246,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| spl0_10
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f11243,f2364]) ).
thf(f11247,plain,
( spl0_9
| spl0_10
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f11246,f544,f180,f139]) ).
thf(f11248,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f7285,f6255]) ).
thf(f11253,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f7285,f34]) ).
thf(f11259,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f11248]) ).
thf(f11260,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f11253]) ).
thf(f11264,plain,
( spl0_111
| spl0_55
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f11260,f7284,f986,f7292]) ).
thf(f11272,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f30,f9663]) ).
thf(f11273,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f11272]) ).
thf(f11276,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_143
| ~ spl0_227 ),
inference(constrained_superposition,[],[f11233,f9663]) ).
thf(f11281,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_143
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f11276]) ).
thf(f11286,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_18
| ~ spl0_143
| ~ spl0_227 ),
inference(constrained_superposition,[],[f11281,f241]) ).
thf(f11291,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_127
| ~ spl0_143
| ~ spl0_227 ),
inference(constrained_superposition,[],[f11281,f8472]) ).
thf(f11299,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_127
| ~ spl0_143
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f11291]) ).
thf(f11301,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_18
| ~ spl0_143
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f11286]) ).
thf(f11309,plain,
( $false
| ~ spl0_18
| ~ spl0_143
| ~ spl0_146
| ~ spl0_201
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f11301,f11077]) ).
thf(f11310,plain,
( ~ spl0_18
| ~ spl0_143
| ~ spl0_146
| ~ spl0_201
| ~ spl0_227 ),
inference(avatar_contradiction_clause,[],[f11309]) ).
thf(f11330,plain,
( spl0_203
| ~ spl0_18
| ~ spl0_143
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f11301,f10897,f9662,f240,f10668]) ).
thf(f11336,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_10
| ~ spl0_127
| ~ spl0_143
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f11299,f2364]) ).
thf(f11341,plain,
( spl0_160
| spl0_203
| spl0_10
| ~ spl0_127
| ~ spl0_143
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f11336,f10897,f9662,f8410,f180,f10668,f10051]) ).
thf(f11343,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_211 ),
inference(constrained_superposition,[],[f30,f10711]) ).
thf(f11344,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f11343]) ).
thf(f11461,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_143
| ~ spl0_211 ),
inference(constrained_superposition,[],[f11344,f9663]) ).
thf(f11464,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_143
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f11461]) ).
thf(f11474,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_159
| spl0_226 ),
inference(forward_subsumption_resolution,[],[f10549,f11051]) ).
thf(f11475,plain,
( spl0_95
| ~ spl0_159
| spl0_226 ),
inference(avatar_split_clause,[],[f11474,f10893,f9973,f6693]) ).
thf(f11476,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_95 ),
inference(constrained_superposition,[],[f6694,f29]) ).
thf(f11482,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_95 ),
inference(trivial_inequality_removal,[],[f11476]) ).
thf(f11507,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_152 ),
inference(avatar_component_clause,[],[f9948]) ).
thf(f11560,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_172 ),
inference(constrained_superposition,[],[f10195,f155]) ).
thf(f11571,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f11560]) ).
thf(f11576,definition,
( spl0_237
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_237])],[avatar_definition]) ).
thf(f11577,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_237 ),
inference(avatar_component_clause,[],[f11576]) ).
thf(f11578,plain,
( spl0_237
| spl0_220
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f11571,f10194,f10867,f11576]) ).
thf(f11585,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_189 ),
inference(constrained_superposition,[],[f10483,f55]) ).
thf(f11593,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f11585]) ).
thf(f11629,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_186 ),
inference(constrained_superposition,[],[f10473,f155]) ).
thf(f11637,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f11629]) ).
thf(f11645,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_186
| spl0_227 ),
inference(forward_subsumption_resolution,[],[f11637,f11155]) ).
thf(f11647,plain,
( spl0_237
| ~ spl0_186
| spl0_227 ),
inference(avatar_split_clause,[],[f11645,f10897,f10472,f11576]) ).
thf(f11661,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f11259,f6255]) ).
thf(f11668,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_110 ),
inference(duplicate_literal_removal,[],[f11661]) ).
thf(f11669,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f11668]) ).
thf(f11674,plain,
( ~ spl0_192
| spl0_121
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f11669,f7284,f8129,f10625]) ).
thf(f11676,definition,
( spl0_238
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_238])],[avatar_definition]) ).
thf(f11677,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f11676]) ).
thf(f11678,plain,
( spl0_238
| spl0_99 ),
inference(avatar_split_clause,[],[f8104,f6725,f11676]) ).
thf(f11699,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_125 ),
inference(constrained_superposition,[],[f8404,f35]) ).
thf(f11702,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_125 ),
inference(trivial_inequality_removal,[],[f11699]) ).
thf(f11704,plain,
( spl0_126
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f11702,f8403,f8407]) ).
thf(f11711,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_121
| ~ spl0_143 ),
inference(constrained_superposition,[],[f11273,f8130]) ).
thf(f11713,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_121
| ~ spl0_140 ),
inference(constrained_superposition,[],[f11039,f8130]) ).
thf(f11717,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_121
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f11713]) ).
thf(f11721,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_121
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f11711]) ).
thf(f11723,plain,
( $false
| ~ spl0_121
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f11717,f8130]) ).
thf(f11724,plain,
( ~ spl0_121
| ~ spl0_140 ),
inference(avatar_contradiction_clause,[],[f11723]) ).
thf(f11728,plain,
( $false
| ~ spl0_121
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f11721,f8130]) ).
thf(f11729,plain,
( ~ spl0_121
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f11728]) ).
thf(f11748,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f30,f181]) ).
thf(f11749,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f11748]) ).
thf(f11750,plain,
( spl0_113
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f11749,f180,f7684]) ).
thf(f11751,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_41 ),
inference(constrained_superposition,[],[f30,f573]) ).
thf(f11752,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f11751]) ).
thf(f11753,plain,
( spl0_113
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f11752,f572,f7684]) ).
thf(f11764,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_1
| ~ spl0_12 ),
inference(constrained_superposition,[],[f4020,f188]) ).
thf(f11766,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_1
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f11764]) ).
thf(f11767,plain,
( $false
| ~ spl0_1
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f11766,f181]) ).
thf(f11768,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f11767]) ).
thf(f11773,definition,
( spl0_241
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_241])],[avatar_definition]) ).
thf(f11774,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_241 ),
inference(avatar_component_clause,[],[f11773]) ).
thf(f11777,definition,
( spl0_242
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).
thf(f11778,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_242 ),
inference(avatar_component_clause,[],[f11777]) ).
thf(f11779,plain,
( spl0_242
| spl0_54
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f10542,f9973,f982,f11777]) ).
thf(f11785,definition,
( spl0_244
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).
thf(f11786,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_244 ),
inference(avatar_component_clause,[],[f11785]) ).
thf(f11787,plain,
( spl0_54
| spl0_244
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f11593,f10482,f11785,f982]) ).
thf(f11788,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f638,f4020]) ).
thf(f11790,plain,
( spl0_44
| ~ spl0_1
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f11788,f637,f70,f606]) ).
thf(f11793,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f361,f29]) ).
thf(f11798,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f11793]) ).
thf(f11803,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_55 ),
inference(constrained_superposition,[],[f987,f36]) ).
thf(f11807,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f11803]) ).
thf(f11814,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_74
| ~ spl0_143 ),
inference(constrained_superposition,[],[f11273,f3380]) ).
thf(f11825,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_74
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f11814]) ).
thf(f11831,plain,
( $false
| ~ spl0_74
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f11825,f3380]) ).
thf(f11832,plain,
( ~ spl0_74
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f11831]) ).
thf(f11833,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_242 ),
inference(constrained_superposition,[],[f4020,f11778]) ).
thf(f11836,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f11833]) ).
thf(f11837,plain,
( $false
| ~ spl0_1
| ~ spl0_201
| ~ spl0_242 ),
inference(forward_subsumption_resolution,[],[f11836,f10661]) ).
thf(f11838,plain,
( ~ spl0_1
| ~ spl0_201
| ~ spl0_242 ),
inference(avatar_contradiction_clause,[],[f11837]) ).
thf(f11843,plain,
( spl0_201
| spl0_204 ),
inference(avatar_split_clause,[],[f11141,f10671,f10660]) ).
thf(f11865,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_61 ),
inference(constrained_superposition,[],[f1860,f29]) ).
thf(f11875,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f11865]) ).
thf(f11885,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_244 ),
inference(constrained_superposition,[],[f4020,f11786]) ).
thf(f11888,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f11885]) ).
thf(f11889,plain,
( $false
| ~ spl0_1
| ~ spl0_211
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f11888,f10711]) ).
thf(f11890,plain,
( ~ spl0_1
| ~ spl0_211
| ~ spl0_244 ),
inference(avatar_contradiction_clause,[],[f11889]) ).
thf(f11909,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_146
| ~ spl0_198 ),
inference(constrained_superposition,[],[f10787,f9674]) ).
thf(f11912,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_146
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f11909]) ).
thf(f11957,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_126
| ~ spl0_143
| ~ spl0_211 ),
inference(constrained_superposition,[],[f11464,f8408]) ).
thf(f11963,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_126
| ~ spl0_143
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f11957]) ).
thf(f11968,plain,
( spl0_191
| ~ spl0_126
| ~ spl0_143
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f11963,f10710,f9662,f8407,f10620]) ).
thf(f12049,definition,
( spl0_246
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_246])],[avatar_definition]) ).
thf(f12050,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_246 ),
inference(avatar_component_clause,[],[f12049]) ).
thf(f12210,definition,
( spl0_249
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).
thf(f12211,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| spl0_249 ),
inference(avatar_component_clause,[],[f12210]) ).
thf(f12215,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_249 ),
inference(constrained_superposition,[],[f12211,f29]) ).
thf(f12218,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_249 ),
inference(trivial_inequality_removal,[],[f12215]) ).
thf(f12221,plain,
( spl0_219
| spl0_184
| spl0_249 ),
inference(avatar_split_clause,[],[f12218,f12210,f10465,f10837]) ).
thf(f12265,definition,
( spl0_251
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_251])],[avatar_definition]) ).
thf(f12266,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_251 ),
inference(avatar_component_clause,[],[f12265]) ).
thf(f12315,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_149 ),
inference(constrained_superposition,[],[f9939,f155]) ).
thf(f12317,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_149 ),
inference(constrained_superposition,[],[f9939,f55]) ).
thf(f12327,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f12315]) ).
thf(f12328,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_149 ),
inference(duplicate_literal_removal,[],[f12317]) ).
thf(f12329,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f12328]) ).
thf(f12350,definition,
( spl0_252
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_252])],[avatar_definition]) ).
thf(f12351,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_252 ),
inference(avatar_component_clause,[],[f12350]) ).
thf(f12353,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_252 ),
inference(constrained_superposition,[],[f12351,f156]) ).
thf(f12358,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_252 ),
inference(trivial_inequality_removal,[],[f12353]) ).
thf(f12365,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_163 ),
inference(constrained_superposition,[],[f10161,f6255]) ).
thf(f12368,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| ~ spl0_163 ),
inference(constrained_superposition,[],[f10161,f35]) ).
thf(f12371,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f12365]) ).
thf(f12375,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f12368]) ).
thf(f12377,plain,
( ~ spl0_109
| spl0_251
| spl0_193
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f12371,f10160,f10628,f12265,f7281]) ).
thf(f12379,definition,
( spl0_253
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_253])],[avatar_definition]) ).
thf(f12380,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_253 ),
inference(avatar_component_clause,[],[f12379]) ).
thf(f12381,plain,
( spl0_253
| spl0_191
| ~ spl0_3
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f12375,f10160,f88,f10620,f12379]) ).
thf(f12383,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_155 ),
inference(constrained_superposition,[],[f9960,f155]) ).
thf(f12393,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_155 ),
inference(duplicate_literal_removal,[],[f12383]) ).
thf(f12394,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f12393]) ).
thf(f12422,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_166 ),
inference(constrained_superposition,[],[f10174,f56]) ).
thf(f12428,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f12422]) ).
thf(f12433,definition,
( spl0_254
<=> ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_254])],[avatar_definition]) ).
thf(f12434,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_254 ),
inference(avatar_component_clause,[],[f12433]) ).
thf(f12435,plain,
( ~ spl0_22
| spl0_254
| spl0_162
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f12428,f10173,f10157,f12433,f275]) ).
thf(f12454,definition,
( spl0_255
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_255])],[avatar_definition]) ).
thf(f12455,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_255 ),
inference(avatar_component_clause,[],[f12454]) ).
thf(f12458,definition,
( spl0_256
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_256])],[avatar_definition]) ).
thf(f12459,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_256 ),
inference(avatar_component_clause,[],[f12458]) ).
thf(f12461,definition,
( spl0_257
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_257])],[avatar_definition]) ).
thf(f12462,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_257 ),
inference(avatar_component_clause,[],[f12461]) ).
thf(f12465,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_180
| ~ spl0_211 ),
inference(constrained_superposition,[],[f11344,f10449]) ).
thf(f12469,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_180
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f12465]) ).
thf(f12472,plain,
( $false
| ~ spl0_10
| ~ spl0_180
| ~ spl0_211 ),
inference(forward_subsumption_resolution,[],[f12469,f181]) ).
thf(f12473,plain,
( ~ spl0_10
| ~ spl0_180
| ~ spl0_211 ),
inference(avatar_contradiction_clause,[],[f12472]) ).
thf(f12562,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_185 ),
inference(constrained_superposition,[],[f10469,f6255]) ).
thf(f12563,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_185 ),
inference(constrained_superposition,[],[f10469,f156]) ).
thf(f12571,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f12562]) ).
thf(f12572,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f12563]) ).
thf(f12578,plain,
( ~ spl0_109
| spl0_257
| spl0_256
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f12571,f10468,f12458,f12461,f7281]) ).
thf(f12579,plain,
( spl0_255
| ~ spl0_39
| spl0_180
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f12572,f10468,f10448,f552,f12454]) ).
thf(f12598,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f10317,f155]) ).
thf(f12612,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_177 ),
inference(duplicate_literal_removal,[],[f12598]) ).
thf(f12613,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f12612]) ).
thf(f12614,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_177
| spl0_227 ),
inference(forward_subsumption_resolution,[],[f12613,f11155]) ).
thf(f12621,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_177
| spl0_227 ),
inference(constrained_superposition,[],[f12614,f56]) ).
thf(f12627,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_177
| spl0_227 ),
inference(trivial_inequality_removal,[],[f12621]) ).
thf(f12632,plain,
( spl0_162
| ~ spl0_22
| ~ spl0_177
| spl0_227 ),
inference(avatar_split_clause,[],[f12627,f10897,f10316,f275,f10157]) ).
thf(f12799,definition,
( spl0_265
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).
thf(f12800,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_265 ),
inference(avatar_component_clause,[],[f12799]) ).
thf(f12808,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_265 ),
inference(constrained_superposition,[],[f12800,f35]) ).
thf(f12810,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_265 ),
inference(trivial_inequality_removal,[],[f12808]) ).
thf(f12812,plain,
( $false
| spl0_99
| spl0_265 ),
inference(forward_subsumption_resolution,[],[f12810,f7053]) ).
thf(f12813,plain,
( spl0_99
| spl0_265 ),
inference(avatar_contradiction_clause,[],[f12812]) ).
thf(f12835,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f11798,f29]) ).
thf(f12837,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f12835]) ).
thf(f12999,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_160 ),
inference(constrained_superposition,[],[f156,f10052]) ).
thf(f13119,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f12999,f25]) ).
thf(f13145,plain,
( $false
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f13119,f31]) ).
thf(f13146,plain,
~ spl0_160,
inference(avatar_contradiction_clause,[],[f13145]) ).
thf(f13147,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_201 ),
inference(constrained_superposition,[],[f30,f10661]) ).
thf(f13148,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f13147]) ).
thf(f13183,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_150 ),
inference(avatar_component_clause,[],[f9941]) ).
thf(f13192,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_55 ),
inference(constrained_superposition,[],[f11807,f34]) ).
thf(f13194,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f13192]) ).
thf(f13207,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_55
| spl0_150 ),
inference(constrained_superposition,[],[f13183,f13194]) ).
thf(f13229,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_55
| spl0_150 ),
inference(trivial_inequality_removal,[],[f13207]) ).
thf(f13273,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_8
| spl0_150 ),
inference(constrained_superposition,[],[f13183,f122]) ).
thf(f13285,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f30,f122]) ).
thf(f13287,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_8
| spl0_150 ),
inference(trivial_inequality_removal,[],[f13273]) ).
thf(f13298,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f13285]) ).
thf(f13412,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_61 ),
inference(constrained_superposition,[],[f11875,f29]) ).
thf(f13418,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f13412]) ).
thf(f13465,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_95 ),
inference(constrained_superposition,[],[f11482,f29]) ).
thf(f13468,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_95 ),
inference(trivial_inequality_removal,[],[f13465]) ).
thf(f13518,definition,
( spl0_268
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_268])],[avatar_definition]) ).
thf(f13519,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_268 ),
inference(avatar_component_clause,[],[f13518]) ).
thf(f13520,plain,
( spl0_220
| spl0_268
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f12394,f9959,f13518,f10867]) ).
thf(f13527,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_268 ),
inference(constrained_superposition,[],[f13519,f56]) ).
thf(f13530,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f13527]) ).
thf(f13537,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_150
| ~ spl0_268 ),
inference(forward_subsumption_resolution,[],[f13530,f13183]) ).
thf(f13538,plain,
( ~ spl0_22
| spl0_150
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f13537,f13518,f9941,f275]) ).
thf(f13608,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_61
| spl0_227 ),
inference(constrained_superposition,[],[f11155,f13418]) ).
thf(f13618,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_61
| spl0_227 ),
inference(trivial_inequality_removal,[],[f13608]) ).
thf(f13625,definition,
( spl0_269
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).
thf(f13626,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_269 ),
inference(avatar_component_clause,[],[f13625]) ).
thf(f13627,plain,
( spl0_246
| spl0_269
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f12329,f9938,f13625,f12049]) ).
thf(f13629,plain,
( spl0_219
| spl0_234
| spl0_244
| ~ spl0_61
| spl0_227 ),
inference(avatar_split_clause,[],[f13618,f10897,f1859,f11785,f11209,f10837]) ).
thf(f13682,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_161 ),
inference(constrained_superposition,[],[f155,f10055]) ).
thf(f13829,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f13682,f25]) ).
thf(f13842,plain,
( $false
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f13829,f31]) ).
thf(f13843,plain,
~ spl0_161,
inference(avatar_contradiction_clause,[],[f13842]) ).
thf(f13845,definition,
( spl0_270
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_270])],[avatar_definition]) ).
thf(f13846,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_270 ),
inference(avatar_component_clause,[],[f13845]) ).
thf(f13847,plain,
( spl0_270
| spl0_220
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f12327,f9938,f10867,f13845]) ).
thf(f13909,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_219 ),
inference(constrained_superposition,[],[f155,f10838]) ).
thf(f14025,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_219 ),
inference(forward_subsumption_resolution,[],[f13909,f25]) ).
thf(f14045,plain,
( $false
| ~ spl0_219 ),
inference(forward_subsumption_resolution,[],[f14025,f31]) ).
thf(f14046,plain,
~ spl0_219,
inference(avatar_contradiction_clause,[],[f14045]) ).
thf(f14109,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f719,f55]) ).
thf(f14123,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_52 ),
inference(duplicate_literal_removal,[],[f14109]) ).
thf(f14124,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f14123]) ).
thf(f14127,plain,
( spl0_61
| spl0_38
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f14124,f718,f549,f1859]) ).
thf(f14329,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_95
| spl0_226 ),
inference(constrained_superposition,[],[f11051,f13468]) ).
thf(f14330,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_95
| spl0_227 ),
inference(constrained_superposition,[],[f11155,f13468]) ).
thf(f14336,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_95
| spl0_226 ),
inference(trivial_inequality_removal,[],[f14329]) ).
thf(f14342,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_95
| spl0_227 ),
inference(trivial_inequality_removal,[],[f14330]) ).
thf(f14343,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_95
| spl0_150
| spl0_226 ),
inference(forward_subsumption_resolution,[],[f14336,f13183]) ).
thf(f14344,plain,
( spl0_219
| spl0_234
| spl0_184
| ~ spl0_95
| spl0_227 ),
inference(avatar_split_clause,[],[f14342,f10897,f6693,f10465,f11209,f10837]) ).
thf(f14345,plain,
( spl0_160
| spl0_161
| ~ spl0_95
| spl0_150
| spl0_226 ),
inference(avatar_split_clause,[],[f14343,f10893,f9941,f6693,f10054,f10051]) ).
thf(f15099,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ z ) )
| spl0_114 ),
inference(avatar_component_clause,[],[f7790]) ).
thf(f15104,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| spl0_114 ),
inference(extensionality_resolution,[],[f6531,f15099]) ).
thf(f15108,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_114 ),
inference(extensionality_resolution,[],[f157,f15099]) ).
thf(f15109,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_114 ),
inference(extensionality_resolution,[],[f157,f15099]) ).
thf(f15118,definition,
( spl0_274
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_274])],[avatar_definition]) ).
thf(f15119,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_274 ),
inference(avatar_component_clause,[],[f15118]) ).
thf(f15121,definition,
( spl0_275
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).
thf(f15122,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_275 ),
inference(avatar_component_clause,[],[f15121]) ).
thf(f15123,plain,
( spl0_274
| spl0_275
| spl0_114 ),
inference(avatar_split_clause,[],[f15109,f7790,f15121,f15118]) ).
thf(f15216,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_143
| ~ spl0_274 ),
inference(constrained_superposition,[],[f11273,f15119]) ).
thf(f15217,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_211
| ~ spl0_274 ),
inference(constrained_superposition,[],[f11344,f15119]) ).
thf(f15221,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_143
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f15216]) ).
thf(f15224,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_211
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f15217]) ).
thf(f15226,plain,
( $false
| ~ spl0_140
| ~ spl0_143
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f15221,f9653]) ).
thf(f15227,plain,
( ~ spl0_140
| ~ spl0_143
| ~ spl0_274 ),
inference(avatar_contradiction_clause,[],[f15226]) ).
thf(f15228,plain,
( $false
| ~ spl0_201
| ~ spl0_211
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f15224,f10661]) ).
thf(f15229,plain,
( ~ spl0_201
| ~ spl0_211
| ~ spl0_274 ),
inference(avatar_contradiction_clause,[],[f15228]) ).
thf(f15230,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_242 ),
inference(avatar_component_clause,[],[f11777]) ).
thf(f15232,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_244 ),
inference(avatar_component_clause,[],[f11785]) ).
thf(f15238,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| spl0_242 ),
inference(constrained_superposition,[],[f15230,f92]) ).
thf(f15246,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_4
| spl0_242 ),
inference(trivial_inequality_removal,[],[f15238]) ).
thf(f15290,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f30,f10658]) ).
thf(f15295,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f15290]) ).
thf(f15302,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_32
| spl0_244 ),
inference(constrained_superposition,[],[f15232,f12837]) ).
thf(f15304,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_32
| spl0_244 ),
inference(trivial_inequality_removal,[],[f15302]) ).
thf(f15329,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_237 ),
inference(constrained_superposition,[],[f11577,f55]) ).
thf(f15339,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_237 ),
inference(trivial_inequality_removal,[],[f15329]) ).
thf(f15340,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_12
| ~ spl0_237 ),
inference(forward_subsumption_resolution,[],[f15339,f1177]) ).
thf(f15341,plain,
( ~ spl0_22
| spl0_12
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f15340,f11576,f187,f275]) ).
thf(f15392,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_113
| ~ spl0_227 ),
inference(constrained_superposition,[],[f7685,f10898]) ).
thf(f15397,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_113
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f15392]) ).
thf(f15401,plain,
( $false
| ~ spl0_113
| ~ spl0_211
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f15397,f10711]) ).
thf(f15402,plain,
( ~ spl0_113
| ~ spl0_211
| ~ spl0_227 ),
inference(avatar_contradiction_clause,[],[f15401]) ).
thf(f15405,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_32
| spl0_244 ),
inference(forward_subsumption_resolution,[],[f15304,f26]) ).
thf(f15408,plain,
( spl0_219
| spl0_211
| ~ spl0_32
| spl0_244 ),
inference(avatar_split_clause,[],[f15405,f11785,f360,f10710,f10837]) ).
thf(f15457,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_234 ),
inference(constrained_superposition,[],[f6254,f11210]) ).
thf(f15576,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_234 ),
inference(forward_subsumption_resolution,[],[f15457,f25]) ).
thf(f15592,plain,
( $false
| ~ spl0_234 ),
inference(forward_subsumption_resolution,[],[f15576,f31]) ).
thf(f15593,plain,
~ spl0_234,
inference(avatar_contradiction_clause,[],[f15592]) ).
thf(f15600,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_113
| ~ spl0_226 ),
inference(constrained_superposition,[],[f7685,f10894]) ).
thf(f15605,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_113
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f15600]) ).
thf(f15608,plain,
( $false
| ~ spl0_113
| ~ spl0_201
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f15605,f10661]) ).
thf(f15609,plain,
( ~ spl0_113
| ~ spl0_201
| ~ spl0_226 ),
inference(avatar_contradiction_clause,[],[f15608]) ).
thf(f15629,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_113
| ~ spl0_220 ),
inference(constrained_superposition,[],[f7685,f10868]) ).
thf(f15633,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_113
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f15629]) ).
thf(f15754,definition,
( spl0_286
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_286])],[avatar_definition]) ).
thf(f15755,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_286 ),
inference(avatar_component_clause,[],[f15754]) ).
thf(f15757,definition,
( spl0_287
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_287])],[avatar_definition]) ).
thf(f15758,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_287 ),
inference(avatar_component_clause,[],[f15757]) ).
thf(f15759,plain,
( spl0_286
| spl0_287
| spl0_114 ),
inference(avatar_split_clause,[],[f15108,f7790,f15757,f15754]) ).
thf(f15764,plain,
( $false
| ~ spl0_146
| ~ spl0_198
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f10669,f11912]) ).
thf(f15765,plain,
( ~ spl0_146
| ~ spl0_198
| ~ spl0_203 ),
inference(avatar_contradiction_clause,[],[f15764]) ).
thf(f15776,plain,
( spl0_198
| ~ spl0_4
| spl0_242 ),
inference(avatar_split_clause,[],[f15246,f11777,f91,f10648]) ).
thf(f15777,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_241 ),
inference(avatar_component_clause,[],[f11773]) ).
thf(f15782,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_246 ),
inference(avatar_component_clause,[],[f12049]) ).
thf(f15817,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_191 ),
inference(constrained_superposition,[],[f13298,f10621]) ).
thf(f15820,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f15817]) ).
thf(f15829,plain,
( $false
| ~ spl0_113
| ~ spl0_203
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f15633,f10669]) ).
thf(f15830,plain,
( ~ spl0_113
| ~ spl0_203
| ~ spl0_220 ),
inference(avatar_contradiction_clause,[],[f15829]) ).
thf(f15866,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_152
| ~ spl0_201 ),
inference(constrained_superposition,[],[f13148,f9949]) ).
thf(f15874,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_152
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f15866]) ).
thf(f15878,plain,
( $false
| ~ spl0_10
| ~ spl0_152
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f15874,f181]) ).
thf(f15879,plain,
( ~ spl0_10
| ~ spl0_152
| ~ spl0_201 ),
inference(avatar_contradiction_clause,[],[f15878]) ).
thf(f15880,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_14
| ~ spl0_191 ),
inference(forward_subsumption_resolution,[],[f15820,f203]) ).
thf(f15883,definition,
( spl0_288
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_288])],[avatar_definition]) ).
thf(f15884,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_288 ),
inference(avatar_component_clause,[],[f15883]) ).
thf(f15887,plain,
( spl0_203
| ~ spl0_8
| ~ spl0_14
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f15880,f10620,f202,f121,f10668]) ).
thf(f15888,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_113
| ~ spl0_220 ),
inference(constrained_superposition,[],[f7685,f10868]) ).
thf(f15890,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_220 ),
inference(constrained_superposition,[],[f30,f10868]) ).
thf(f15891,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_113
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f15888]) ).
thf(f15892,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f15890]) ).
thf(f15902,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_269 ),
inference(constrained_superposition,[],[f13626,f156]) ).
thf(f15906,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f15902]) ).
thf(f15913,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_152
| ~ spl0_269 ),
inference(forward_subsumption_resolution,[],[f15906,f11507]) ).
thf(f15914,plain,
( ~ spl0_39
| spl0_152
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f15913,f13625,f9948,f552]) ).
thf(f15916,definition,
( spl0_289
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_289])],[avatar_definition]) ).
thf(f15917,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_289 ),
inference(avatar_component_clause,[],[f15916]) ).
thf(f15918,plain,
( spl0_288
| spl0_241
| spl0_289
| spl0_114 ),
inference(avatar_split_clause,[],[f15104,f7790,f15916,f11773,f15883]) ).
thf(f15986,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_146
| ~ spl0_201 ),
inference(constrained_superposition,[],[f13148,f9674]) ).
thf(f15990,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_146
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f15986]) ).
thf(f16029,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_146
| ~ spl0_200 ),
inference(constrained_superposition,[],[f15295,f9674]) ).
thf(f16039,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_146
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f16029]) ).
thf(f16047,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_251 ),
inference(constrained_superposition,[],[f12266,f55]) ).
thf(f16053,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_251 ),
inference(trivial_inequality_removal,[],[f16047]) ).
thf(f16061,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_242
| ~ spl0_251 ),
inference(forward_subsumption_resolution,[],[f16053,f15230]) ).
thf(f16063,plain,
( ~ spl0_109
| spl0_242
| ~ spl0_251 ),
inference(avatar_split_clause,[],[f16061,f12265,f11777,f7281]) ).
thf(f16101,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_8
| ~ spl0_143 ),
inference(constrained_superposition,[],[f13298,f9663]) ).
thf(f16104,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_8
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f16101]) ).
thf(f16105,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_8
| ~ spl0_143
| ~ spl0_246 ),
inference(forward_subsumption_resolution,[],[f16104,f12050]) ).
thf(f16108,plain,
( spl0_211
| ~ spl0_8
| ~ spl0_143
| ~ spl0_246 ),
inference(avatar_split_clause,[],[f16105,f12049,f9662,f121,f10710]) ).
thf(f16130,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_270
| ~ spl0_287 ),
inference(constrained_superposition,[],[f13846,f15758]) ).
thf(f16148,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_270
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f16130]) ).
thf(f16171,definition,
( spl0_292
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_292])],[avatar_definition]) ).
thf(f16172,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_292 ),
inference(avatar_component_clause,[],[f16171]) ).
thf(f16177,plain,
( ~ spl0_187
| ~ spl0_188
| ~ spl0_270
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f16148,f15757,f13845,f10479,f10475]) ).
thf(f16205,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_200
| ~ spl0_286 ),
inference(constrained_superposition,[],[f15295,f15755]) ).
thf(f16211,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_200
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f16205]) ).
thf(f16213,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_145
| ~ spl0_220 ),
inference(constrained_superposition,[],[f15892,f9670]) ).
thf(f16224,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_145
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f16213]) ).
thf(f16227,plain,
( ~ spl0_227
| ~ spl0_145
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f16224,f10867,f9669,f10897]) ).
thf(f16252,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f6583,f9660]) ).
thf(f16267,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f16252]) ).
thf(f16278,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_142
| ~ spl0_200
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f16267,f16211]) ).
thf(f16286,definition,
( spl0_300
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).
thf(f16287,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_300 ),
inference(avatar_component_clause,[],[f16286]) ).
thf(f16289,definition,
( spl0_301
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_301])],[avatar_definition]) ).
thf(f16290,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_301 ),
inference(avatar_component_clause,[],[f16289]) ).
thf(f16291,plain,
( spl0_300
| ~ spl0_301
| ~ spl0_142
| ~ spl0_200
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f16278,f15754,f10657,f9659,f16289,f16286]) ).
thf(f16302,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_301 ),
inference(constrained_superposition,[],[f16290,f157]) ).
thf(f16306,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_301 ),
inference(trivial_inequality_removal,[],[f16302]) ).
thf(f16311,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_301 ),
inference(forward_subsumption_resolution,[],[f16306,f26]) ).
thf(f16317,plain,
( $false
| ~ spl0_146
| ~ spl0_200
| spl0_301 ),
inference(forward_subsumption_resolution,[],[f16311,f16039]) ).
thf(f16318,plain,
( ~ spl0_146
| ~ spl0_200
| spl0_301 ),
inference(avatar_contradiction_clause,[],[f16317]) ).
thf(f16358,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_109 ),
inference(constrained_superposition,[],[f7282,f55]) ).
thf(f16360,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_109 ),
inference(constrained_superposition,[],[f7282,f29]) ).
thf(f16361,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_109 ),
inference(trivial_inequality_removal,[],[f16358]) ).
thf(f16362,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_109 ),
inference(trivial_inequality_removal,[],[f16360]) ).
thf(f16364,plain,
( $false
| spl0_109
| spl0_241 ),
inference(forward_subsumption_resolution,[],[f16361,f15777]) ).
thf(f16365,plain,
( spl0_109
| spl0_241 ),
inference(avatar_contradiction_clause,[],[f16364]) ).
thf(f16372,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_109
| spl0_114 ),
inference(forward_subsumption_resolution,[],[f16362,f15099]) ).
thf(f16375,plain,
( spl0_241
| spl0_109
| spl0_114 ),
inference(avatar_split_clause,[],[f16372,f7790,f7281,f11773]) ).
thf(f16384,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f10680,f155]) ).
thf(f16388,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f10680,f34]) ).
thf(f16393,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f16388]) ).
thf(f16395,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f16384]) ).
thf(f16400,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_113
| ~ spl0_206
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f16393,f15891]) ).
thf(f16402,plain,
( spl0_9
| ~ spl0_113
| ~ spl0_206
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f16400,f10867,f10679,f7684,f139]) ).
thf(f16405,definition,
( spl0_303
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_303])],[avatar_definition]) ).
thf(f16406,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_303 ),
inference(avatar_component_clause,[],[f16405]) ).
thf(f16408,plain,
( spl0_9
| spl0_203
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f16393,f10679,f10668,f139]) ).
thf(f16410,plain,
( spl0_220
| spl0_17
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f16395,f10679,f236,f10867]) ).
thf(f16455,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_180 ),
inference(constrained_superposition,[],[f30,f10449]) ).
thf(f16456,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f16455]) ).
thf(f16482,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_52
| ~ spl0_275 ),
inference(constrained_superposition,[],[f719,f15122]) ).
thf(f16497,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f16482]) ).
thf(f16590,definition,
( spl0_306
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_306])],[avatar_definition]) ).
thf(f16591,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_306 ),
inference(avatar_component_clause,[],[f16590]) ).
thf(f16645,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_143
| ~ spl0_180 ),
inference(constrained_superposition,[],[f16456,f9663]) ).
thf(f16653,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_143
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f16645]) ).
thf(f16659,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_126
| ~ spl0_146
| ~ spl0_201 ),
inference(constrained_superposition,[],[f15990,f8408]) ).
thf(f16661,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_126 ),
inference(constrained_superposition,[],[f30,f8408]) ).
thf(f16662,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_126 ),
inference(trivial_inequality_removal,[],[f16661]) ).
thf(f16663,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_126
| ~ spl0_146
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f16659]) ).
thf(f16666,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ X0 ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f16662,f30]) ).
thf(f16667,plain,
( spl0_191
| ~ spl0_126
| ~ spl0_146
| ~ spl0_201 ),
inference(avatar_split_clause,[],[f16663,f10660,f9673,f8407,f10620]) ).
thf(f16682,plain,
( $false
| ~ spl0_143
| ~ spl0_180
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f10868,f16653]) ).
thf(f16683,plain,
( ~ spl0_143
| ~ spl0_180
| ~ spl0_220 ),
inference(avatar_contradiction_clause,[],[f16682]) ).
thf(f16686,definition,
( spl0_308
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_308])],[avatar_definition]) ).
thf(f16687,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_308 ),
inference(avatar_component_clause,[],[f16686]) ).
thf(f16706,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_126
| ~ spl0_140 ),
inference(constrained_superposition,[],[f16666,f9653]) ).
thf(f16707,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_8
| ~ spl0_126 ),
inference(constrained_superposition,[],[f16666,f122]) ).
thf(f16710,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_8
| ~ spl0_126 ),
inference(trivial_inequality_removal,[],[f16707]) ).
thf(f16718,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_126
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f16706]) ).
thf(f16721,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f16710,f71]) ).
thf(f16727,plain,
( $false
| ~ spl0_126
| ~ spl0_140
| ~ spl0_201 ),
inference(forward_subsumption_resolution,[],[f16718,f10661]) ).
thf(f16728,plain,
( ~ spl0_126
| ~ spl0_140
| ~ spl0_201 ),
inference(avatar_contradiction_clause,[],[f16727]) ).
thf(f16729,plain,
( spl0_53
| ~ spl0_1
| ~ spl0_8
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f16721,f8407,f121,f70,f840]) ).
thf(f16743,plain,
( spl0_201
| ~ spl0_8
| spl0_150 ),
inference(avatar_split_clause,[],[f13287,f9941,f121,f10660]) ).
thf(f16748,plain,
( spl0_303
| spl0_152
| ~ spl0_52
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f16497,f15121,f718,f9948,f16405]) ).
thf(f16749,plain,
( spl0_87
| spl0_252 ),
inference(avatar_split_clause,[],[f12358,f12350,f6612]) ).
thf(f16750,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_55
| spl0_150 ),
inference(forward_subsumption_resolution,[],[f13229,f26]) ).
thf(f16753,plain,
( spl0_201
| ~ spl0_55
| spl0_150 ),
inference(avatar_split_clause,[],[f16750,f9941,f986,f10660]) ).
thf(f16769,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_126
| ~ spl0_150 ),
inference(constrained_superposition,[],[f16666,f9942]) ).
thf(f16770,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_150 ),
inference(constrained_superposition,[],[f30,f9942]) ).
thf(f16771,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_126
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f16769]) ).
thf(f16772,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f16770]) ).
thf(f16774,plain,
( $false
| ~ spl0_1
| ~ spl0_126
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f16771,f71]) ).
thf(f16775,plain,
( ~ spl0_1
| ~ spl0_126
| ~ spl0_150 ),
inference(avatar_contradiction_clause,[],[f16774]) ).
thf(f16777,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_158 ),
inference(constrained_superposition,[],[f9971,f55]) ).
thf(f16782,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_158 ),
inference(trivial_inequality_removal,[],[f16777]) ).
thf(f16785,plain,
( spl0_242
| spl0_158 ),
inference(avatar_split_clause,[],[f16782,f9970,f11777]) ).
thf(f16794,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f30,f10669]) ).
thf(f16795,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f16794]) ).
thf(f16797,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f30,f9949]) ).
thf(f16798,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f16797]) ).
thf(f16801,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f30,f10658]) ).
thf(f16803,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f16801]) ).
thf(f16877,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_162
| ~ spl0_203 ),
inference(constrained_superposition,[],[f16795,f10158]) ).
thf(f16885,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_162
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f16877]) ).
thf(f16887,plain,
( $false
| ~ spl0_1
| ~ spl0_162
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f16885,f71]) ).
thf(f16888,plain,
( ~ spl0_1
| ~ spl0_162
| ~ spl0_203 ),
inference(avatar_contradiction_clause,[],[f16887]) ).
thf(f16896,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_124
| ~ spl0_275 ),
inference(constrained_superposition,[],[f8401,f15122]) ).
thf(f16901,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_124
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f16896]) ).
thf(f16917,plain,
( spl0_211
| ~ spl0_204
| ~ spl0_124
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f16901,f15121,f8400,f10671,f10710]) ).
thf(f16932,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_227 ),
inference(constrained_superposition,[],[f30,f10898]) ).
thf(f16934,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f16932]) ).
thf(f16938,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_140 ),
inference(constrained_superposition,[],[f30,f9653]) ).
thf(f16941,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f16938]) ).
thf(f16984,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_274 ),
inference(constrained_superposition,[],[f13298,f15119]) ).
thf(f16986,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f16984]) ).
thf(f16994,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_152
| ~ spl0_286 ),
inference(constrained_superposition,[],[f16798,f15755]) ).
thf(f16995,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_150
| ~ spl0_286 ),
inference(constrained_superposition,[],[f16772,f15755]) ).
thf(f16998,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_150
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f16995]) ).
thf(f17001,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_152
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f16994]) ).
thf(f17002,plain,
( ~ spl0_244
| ~ spl0_150
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f16998,f15754,f9941,f11785]) ).
thf(f17004,plain,
( $false
| ~ spl0_152
| ~ spl0_227
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f17001,f10898]) ).
thf(f17005,plain,
( ~ spl0_152
| ~ spl0_227
| ~ spl0_286 ),
inference(avatar_contradiction_clause,[],[f17004]) ).
thf(f17008,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_146
| ~ spl0_200 ),
inference(constrained_superposition,[],[f16803,f9674]) ).
thf(f17020,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_146
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f17008]) ).
thf(f17043,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_255 ),
inference(constrained_superposition,[],[f12455,f6254]) ).
thf(f17046,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_255 ),
inference(constrained_superposition,[],[f12455,f55]) ).
thf(f17054,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f17043]) ).
thf(f17057,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f17046]) ).
thf(f17059,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_146
| ~ spl0_200
| ~ spl0_255 ),
inference(forward_subsumption_resolution,[],[f17054,f17020]) ).
thf(f17060,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_246
| ~ spl0_255 ),
inference(forward_subsumption_resolution,[],[f17057,f15782]) ).
thf(f17061,plain,
( ~ spl0_252
| ~ spl0_146
| ~ spl0_200
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f17059,f12454,f10657,f9673,f12350]) ).
thf(f17062,plain,
( ~ spl0_39
| spl0_246
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f17060,f12454,f12049,f552]) ).
thf(f17136,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_227
| ~ spl0_274 ),
inference(constrained_superposition,[],[f16934,f15119]) ).
thf(f17146,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_227
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f17136]) ).
thf(f17149,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_140
| ~ spl0_145 ),
inference(constrained_superposition,[],[f16941,f9670]) ).
thf(f17156,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_140
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f17149]) ).
thf(f17160,plain,
( $false
| ~ spl0_140
| ~ spl0_145
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f17156,f15755]) ).
thf(f17161,plain,
( ~ spl0_140
| ~ spl0_145
| ~ spl0_286 ),
inference(avatar_contradiction_clause,[],[f17160]) ).
thf(f17167,plain,
( ~ spl0_226
| ~ spl0_227
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f17146,f15118,f10897,f10893]) ).
thf(f17176,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_241 ),
inference(constrained_superposition,[],[f4020,f11774]) ).
thf(f17179,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f17176]) ).
thf(f17181,plain,
( $false
| ~ spl0_1
| ~ spl0_111
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f17179,f7293]) ).
thf(f17182,plain,
( ~ spl0_1
| ~ spl0_111
| ~ spl0_241 ),
inference(avatar_contradiction_clause,[],[f17181]) ).
thf(f17274,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_52
| ~ spl0_141 ),
inference(constrained_superposition,[],[f719,f9656]) ).
thf(f17288,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_52
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f17274]) ).
thf(f17313,plain,
( spl0_211
| ~ spl0_242
| ~ spl0_8
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f16986,f15118,f121,f11777,f10710]) ).
thf(f17466,plain,
( spl0_308
| spl0_152
| ~ spl0_52
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f17288,f9655,f718,f9948,f16686]) ).
thf(f17469,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_152 ),
inference(constrained_superposition,[],[f13298,f9949]) ).
thf(f17472,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f17469]) ).
thf(f17498,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_275 ),
inference(constrained_superposition,[],[f42,f15122]) ).
thf(f17506,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f17498]) ).
thf(f17519,plain,
( spl0_211
| ~ spl0_204
| spl0_213
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f17506,f15121,f10720,f10671,f10710]) ).
thf(f17542,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_213 ),
inference(constrained_superposition,[],[f10721,f34]) ).
thf(f17549,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f17542]) ).
thf(f17558,plain,
( ~ spl0_12
| spl0_201
| ~ spl0_8
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f17472,f9948,f121,f10660,f187]) ).
thf(f17559,plain,
( spl0_201
| spl0_9
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f17549,f10720,f139,f10660]) ).
thf(f17588,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f95,f34]) ).
thf(f17591,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_5 ),
inference(duplicate_literal_removal,[],[f17588]) ).
thf(f17592,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f17591]) ).
thf(f17596,plain,
( ! [X0: $i] :
( $true
!= ( b @ z @ X0 ) )
| spl0_1
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f17592,f1267]) ).
thf(f17597,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true ) )
| spl0_1
| ~ spl0_5 ),
inference(constrained_superposition,[],[f17596,f35]) ).
thf(f17599,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ X0 ) ) )
| spl0_1
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f17597]) ).
thf(f17602,plain,
( ( $true != $true )
| spl0_1
| ~ spl0_5
| spl0_14 ),
inference(constrained_superposition,[],[f369,f17599]) ).
thf(f17616,plain,
( $false
| spl0_1
| ~ spl0_5
| spl0_14 ),
inference(trivial_inequality_removal,[],[f17602]) ).
thf(f17617,plain,
( spl0_1
| ~ spl0_5
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f17616]) ).
thf(f17626,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f30,f203]) ).
thf(f17627,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f17626]) ).
thf(f17634,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_14
| ~ spl0_244 ),
inference(constrained_superposition,[],[f17627,f11786]) ).
thf(f17635,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_14
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f17634]) ).
thf(f17650,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_227 ),
inference(constrained_superposition,[],[f30,f10898]) ).
thf(f17651,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f17650]) ).
thf(f17654,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_140
| ~ spl0_203 ),
inference(constrained_superposition,[],[f16795,f9653]) ).
thf(f17657,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_140
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f17654]) ).
thf(f17666,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_52
| ~ spl0_287 ),
inference(constrained_superposition,[],[f719,f15758]) ).
thf(f17692,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_52
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f17666]) ).
thf(f17703,plain,
( spl0_270
| spl0_180
| ~ spl0_52
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f17692,f15757,f718,f10448,f13845]) ).
thf(f17723,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_52
| ~ spl0_142 ),
inference(constrained_superposition,[],[f719,f9660]) ).
thf(f17739,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f17723]) ).
thf(f17754,plain,
( spl0_167
| spl0_303
| ~ spl0_52
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f17739,f9659,f718,f16405,f10176]) ).
thf(f17761,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_145 ),
inference(constrained_superposition,[],[f13298,f9670]) ).
thf(f17765,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f17761]) ).
thf(f17768,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_8
| ~ spl0_227 ),
inference(constrained_superposition,[],[f17651,f122]) ).
thf(f17770,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_55
| ~ spl0_227 ),
inference(constrained_superposition,[],[f17651,f13194]) ).
thf(f17772,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_55
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f17770]) ).
thf(f17777,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_8
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f17768]) ).
thf(f17808,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_14
| ~ spl0_126
| ~ spl0_244 ),
inference(constrained_superposition,[],[f17635,f8408]) ).
thf(f17809,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_126
| ~ spl0_140
| ~ spl0_203 ),
inference(constrained_superposition,[],[f17657,f8408]) ).
thf(f17810,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| spl0_1
| ~ spl0_126 ),
inference(constrained_superposition,[],[f1267,f8408]) ).
thf(f17812,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_1
| ~ spl0_126 ),
inference(trivial_inequality_removal,[],[f17810]) ).
thf(f17813,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_14
| ~ spl0_126
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f17808]) ).
thf(f17815,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_126
| ~ spl0_140
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f17809]) ).
thf(f17816,plain,
( spl0_194
| ~ spl0_14
| ~ spl0_126
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f17813,f11785,f8407,f202,f10633]) ).
thf(f17820,plain,
( spl0_198
| ~ spl0_126
| ~ spl0_140
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f17815,f10668,f9652,f8407,f10648]) ).
thf(f17823,plain,
( spl0_14
| spl0_1
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f17812,f8407,f70,f202]) ).
thf(f17826,plain,
( spl0_211
| ~ spl0_28
| ~ spl0_8
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f17777,f10897,f121,f312,f10710]) ).
thf(f17828,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_55
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f17772,f26]) ).
thf(f17833,plain,
( ~ spl0_28
| spl0_211
| ~ spl0_55
| ~ spl0_227 ),
inference(avatar_split_clause,[],[f17828,f10897,f986,f10710,f312]) ).
thf(f17866,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f30,f313]) ).
thf(f17867,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f17866]) ).
thf(f17897,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f367,f29]) ).
thf(f17898,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f17897]) ).
thf(f17943,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_194 ),
inference(constrained_superposition,[],[f13298,f10634]) ).
thf(f17947,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f17943]) ).
thf(f17960,plain,
( spl0_203
| ~ spl0_244
| ~ spl0_8
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f17765,f9669,f121,f11785,f10668]) ).
thf(f17965,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_201 ),
inference(constrained_superposition,[],[f30,f10661]) ).
thf(f17966,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_201 ),
inference(trivial_inequality_removal,[],[f17965]) ).
thf(f17992,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_113
| ~ spl0_220 ),
inference(constrained_superposition,[],[f7685,f10868]) ).
thf(f17994,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_220 ),
inference(constrained_superposition,[],[f30,f10868]) ).
thf(f17996,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_113
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f17992]) ).
thf(f17997,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f17994]) ).
thf(f18026,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_237 ),
inference(constrained_superposition,[],[f11577,f34]) ).
thf(f18029,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_237 ),
inference(trivial_inequality_removal,[],[f18026]) ).
thf(f18213,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_275 ),
inference(constrained_superposition,[],[f68,f15122]) ).
thf(f18233,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f18213]) ).
thf(f18246,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_162
| ~ spl0_220 ),
inference(constrained_superposition,[],[f17997,f10158]) ).
thf(f18247,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_220 ),
inference(constrained_superposition,[],[f17997,f122]) ).
thf(f18250,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_191
| ~ spl0_220 ),
inference(constrained_superposition,[],[f17997,f10621]) ).
thf(f18253,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_191
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f18250]) ).
thf(f18255,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f18247]) ).
thf(f18257,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_162
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f18246]) ).
thf(f18260,plain,
( $false
| ~ spl0_41
| ~ spl0_191
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f18253,f573]) ).
thf(f18261,plain,
( ~ spl0_41
| ~ spl0_191
| ~ spl0_220 ),
inference(avatar_contradiction_clause,[],[f18260]) ).
thf(f18262,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_28
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f18255,f313]) ).
thf(f18264,plain,
( $false
| ~ spl0_28
| ~ spl0_162
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f18257,f313]) ).
thf(f18265,plain,
( ~ spl0_28
| ~ spl0_162
| ~ spl0_220 ),
inference(avatar_contradiction_clause,[],[f18264]) ).
thf(f18268,plain,
( $false
| ~ spl0_8
| ~ spl0_28
| ~ spl0_113
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f18262,f17996]) ).
thf(f18269,plain,
( ~ spl0_8
| ~ spl0_28
| ~ spl0_113
| ~ spl0_220 ),
inference(avatar_contradiction_clause,[],[f18268]) ).
thf(f18285,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f983,f35]) ).
thf(f18289,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f18285]) ).
thf(f18292,plain,
( spl0_14
| ~ spl0_7
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f18289,f982,f118,f202]) ).
thf(f18293,plain,
( spl0_211
| ~ spl0_14
| ~ spl0_8
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f17947,f10633,f121,f202,f10710]) ).
thf(f18297,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f30,f203]) ).
thf(f18298,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f18297]) ).
thf(f18349,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_178 ),
inference(constrained_superposition,[],[f156,f10344]) ).
thf(f18452,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[],[f18349,f25]) ).
thf(f18476,plain,
( $false
| ~ spl0_178 ),
inference(forward_subsumption_resolution,[],[f18452,f31]) ).
thf(f18477,plain,
~ spl0_178,
inference(avatar_contradiction_clause,[],[f18476]) ).
thf(f18493,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_211 ),
inference(constrained_superposition,[],[f30,f10711]) ).
thf(f18494,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f18493]) ).
thf(f18500,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_95 ),
inference(constrained_superposition,[],[f6694,f35]) ).
thf(f18501,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_95 ),
inference(trivial_inequality_removal,[],[f18500]) ).
thf(f18507,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_41
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[],[f18501,f1038]) ).
thf(f18508,plain,
( ~ spl0_7
| spl0_41
| ~ spl0_95 ),
inference(avatar_split_clause,[],[f18507,f6693,f572,f118]) ).
thf(f18510,plain,
( ~ spl0_158
| spl0_159
| spl0_244
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f18233,f15121,f11785,f9973,f9970]) ).
thf(f18519,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( z = X0 )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f17898,f29]) ).
thf(f18520,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f18519]) ).
thf(f18528,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f30,f10466]) ).
thf(f18530,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f18528]) ).
thf(f18532,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_14
| ~ spl0_244 ),
inference(constrained_superposition,[],[f18298,f11786]) ).
thf(f18534,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_14
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f18532]) ).
thf(f18536,plain,
( $false
| ~ spl0_14
| ~ spl0_211
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f18534,f10711]) ).
thf(f18537,plain,
( ~ spl0_14
| ~ spl0_211
| ~ spl0_244 ),
inference(avatar_contradiction_clause,[],[f18536]) ).
thf(f18540,plain,
( ~ spl0_24
| spl0_10
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f18029,f11576,f180,f282]) ).
thf(f18545,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_34 ),
inference(constrained_superposition,[],[f30,f466]) ).
thf(f18546,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f18545]) ).
thf(f18549,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_99 ),
inference(constrained_superposition,[],[f30,f6726]) ).
thf(f18552,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_99 ),
inference(trivial_inequality_removal,[],[f18549]) ).
thf(f18572,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f30,f9949]) ).
thf(f18574,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f18572]) ).
thf(f18577,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_28
| ~ spl0_226 ),
inference(constrained_superposition,[],[f17867,f10894]) ).
thf(f18578,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_226 ),
inference(constrained_superposition,[],[f13298,f10894]) ).
thf(f18581,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_28
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f18577]) ).
thf(f18582,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f18578]) ).
thf(f18583,plain,
( $false
| ~ spl0_28
| ~ spl0_226
| ~ spl0_242 ),
inference(forward_subsumption_resolution,[],[f18581,f11778]) ).
thf(f18584,plain,
( ~ spl0_28
| ~ spl0_226
| ~ spl0_242 ),
inference(avatar_contradiction_clause,[],[f18583]) ).
thf(f18585,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_8
| spl0_10
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f18582,f2364]) ).
thf(f18586,plain,
( $false
| ~ spl0_8
| spl0_10
| ~ spl0_226
| ~ spl0_242 ),
inference(forward_subsumption_resolution,[],[f18585,f11778]) ).
thf(f18587,plain,
( ~ spl0_8
| spl0_10
| ~ spl0_226
| ~ spl0_242 ),
inference(avatar_contradiction_clause,[],[f18586]) ).
thf(f18658,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_34
| ~ spl0_193 ),
inference(constrained_superposition,[],[f18546,f10629]) ).
thf(f18661,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_34
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f18658]) ).
thf(f18665,plain,
( $false
| ~ spl0_34
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f18661,f466]) ).
thf(f18666,plain,
( ~ spl0_34
| ~ spl0_193 ),
inference(avatar_contradiction_clause,[],[f18665]) ).
thf(f18725,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_34
| ~ spl0_146 ),
inference(constrained_superposition,[],[f18546,f9674]) ).
thf(f18728,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_34
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f18725]) ).
thf(f18733,plain,
( $false
| ~ spl0_34
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[],[f18728,f466]) ).
thf(f18734,plain,
( ~ spl0_34
| ~ spl0_146 ),
inference(avatar_contradiction_clause,[],[f18733]) ).
thf(f18747,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_167 ),
inference(constrained_superposition,[],[f30,f10177]) ).
thf(f18748,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f18747]) ).
thf(f18754,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_171 ),
inference(constrained_superposition,[],[f10192,f29]) ).
thf(f18756,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_171 ),
inference(trivial_inequality_removal,[],[f18754]) ).
thf(f18759,plain,
( spl0_220
| spl0_179
| spl0_171 ),
inference(avatar_split_clause,[],[f18756,f10191,f10346,f10867]) ).
thf(f18763,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_8
| ~ spl0_220 ),
inference(constrained_superposition,[],[f13298,f10868]) ).
thf(f18767,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_8
| ~ spl0_220 ),
inference(trivial_inequality_removal,[],[f18763]) ).
thf(f18774,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_8
| spl0_10
| ~ spl0_220 ),
inference(forward_subsumption_resolution,[],[f18767,f2364]) ).
thf(f18775,plain,
( ~ spl0_246
| ~ spl0_8
| spl0_10
| ~ spl0_220 ),
inference(avatar_split_clause,[],[f18774,f10867,f180,f121,f12049]) ).
thf(f18779,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_147 ),
inference(constrained_superposition,[],[f113,f9677]) ).
thf(f18783,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_147 ),
inference(constrained_superposition,[],[f68,f9677]) ).
thf(f18786,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_147 ),
inference(constrained_superposition,[],[f42,f9677]) ).
thf(f18792,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f18783]) ).
thf(f18794,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f18779]) ).
thf(f18800,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f18786]) ).
thf(f18807,plain,
( spl0_162
| spl0_163
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f18794,f9676,f10160,f10157]) ).
thf(f18824,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_150
| ~ spl0_152 ),
inference(constrained_superposition,[],[f18574,f9942]) ).
thf(f18826,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_150
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f18824]) ).
thf(f18829,plain,
( $false
| ~ spl0_28
| ~ spl0_150
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f18826,f313]) ).
thf(f18830,plain,
( ~ spl0_28
| ~ spl0_150
| ~ spl0_152 ),
inference(avatar_contradiction_clause,[],[f18829]) ).
thf(f18832,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_201
| ~ spl0_286 ),
inference(constrained_superposition,[],[f17966,f15755]) ).
thf(f18834,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_34
| ~ spl0_286 ),
inference(constrained_superposition,[],[f18546,f15755]) ).
thf(f18839,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_201
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f18832]) ).
thf(f18840,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_34
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f18834]) ).
thf(f18842,plain,
( $false
| ~ spl0_201
| ~ spl0_211
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f18839,f10711]) ).
thf(f18843,plain,
( ~ spl0_201
| ~ spl0_211
| ~ spl0_286 ),
inference(avatar_contradiction_clause,[],[f18842]) ).
thf(f18844,plain,
( $false
| ~ spl0_34
| ~ spl0_211
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f18840,f10711]) ).
thf(f18845,plain,
( ~ spl0_34
| ~ spl0_211
| ~ spl0_286 ),
inference(avatar_contradiction_clause,[],[f18844]) ).
thf(f18846,plain,
( ~ spl0_170
| spl0_169
| spl0_242
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f18792,f9676,f11777,f10184,f10187]) ).
thf(f18881,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_244 ),
inference(constrained_superposition,[],[f30,f11786]) ).
thf(f18882,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_244 ),
inference(trivial_inequality_removal,[],[f18881]) ).
thf(f18899,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_253 ),
inference(constrained_superposition,[],[f12380,f55]) ).
thf(f18904,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f18899]) ).
thf(f18913,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_242
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f18904,f15230]) ).
thf(f18914,plain,
( ~ spl0_3
| spl0_242
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f18913,f12379,f11777,f88]) ).
thf(f18921,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_34
| ~ spl0_140 ),
inference(constrained_superposition,[],[f18546,f9653]) ).
thf(f18925,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_34
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f18921]) ).
thf(f18927,plain,
( $false
| ~ spl0_34
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f18925,f466]) ).
thf(f18928,plain,
( ~ spl0_34
| ~ spl0_140 ),
inference(avatar_contradiction_clause,[],[f18927]) ).
thf(f18960,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_156 ),
inference(constrained_superposition,[],[f9964,f155]) ).
thf(f18962,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_156 ),
inference(constrained_superposition,[],[f9964,f36]) ).
thf(f18966,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_156 ),
inference(trivial_inequality_removal,[],[f18960]) ).
thf(f18967,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_156 ),
inference(trivial_inequality_removal,[],[f18962]) ).
thf(f18970,plain,
( spl0_226
| spl0_156 ),
inference(avatar_split_clause,[],[f18966,f9963,f10893]) ).
thf(f18971,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_114
| spl0_156 ),
inference(forward_subsumption_resolution,[],[f18967,f15099]) ).
thf(f18972,plain,
( spl0_226
| spl0_114
| spl0_156 ),
inference(avatar_split_clause,[],[f18971,f9963,f7790,f10893]) ).
thf(f18992,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_28
| ~ spl0_227 ),
inference(constrained_superposition,[],[f17867,f10898]) ).
thf(f18993,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_8
| ~ spl0_227 ),
inference(constrained_superposition,[],[f13298,f10898]) ).
thf(f18995,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_28
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f18992]) ).
thf(f18997,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_227 ),
inference(trivial_inequality_removal,[],[f18993]) ).
thf(f18998,plain,
( $false
| ~ spl0_28
| ~ spl0_227
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f18995,f11786]) ).
thf(f18999,plain,
( ~ spl0_28
| ~ spl0_227
| ~ spl0_244 ),
inference(avatar_contradiction_clause,[],[f18998]) ).
thf(f19000,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_8
| spl0_10
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f18997,f2364]) ).
thf(f19001,plain,
( $false
| ~ spl0_8
| spl0_10
| ~ spl0_227
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f19000,f11786]) ).
thf(f19002,plain,
( ~ spl0_8
| spl0_10
| ~ spl0_227
| ~ spl0_244 ),
inference(avatar_contradiction_clause,[],[f19001]) ).
thf(f19042,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_33
| spl0_150 ),
inference(constrained_superposition,[],[f13183,f18520]) ).
thf(f19044,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_33
| spl0_150 ),
inference(trivial_inequality_removal,[],[f19042]) ).
thf(f19056,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f30,f9949]) ).
thf(f19059,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f19056]) ).
thf(f19075,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f206,f55]) ).
thf(f19094,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_15 ),
inference(duplicate_literal_removal,[],[f19075]) ).
thf(f19095,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f19094]) ).
thf(f19101,plain,
( spl0_31
| spl0_32
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f19095,f205,f360,f357]) ).
thf(f19134,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_141 ),
inference(constrained_superposition,[],[f534,f9656]) ).
thf(f19139,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_141 ),
inference(constrained_superposition,[],[f178,f9656]) ).
thf(f19140,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_141 ),
inference(constrained_superposition,[],[f68,f9656]) ).
thf(f19141,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_124
| ~ spl0_141 ),
inference(constrained_superposition,[],[f8401,f9656]) ).
thf(f19143,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_141 ),
inference(constrained_superposition,[],[f42,f9656]) ).
thf(f19150,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f19134]) ).
thf(f19151,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f19143]) ).
thf(f19155,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f19140]) ).
thf(f19157,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f19139]) ).
thf(f19158,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_124
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f19141]) ).
thf(f19167,plain,
( spl0_220
| spl0_157
| ~ spl0_156
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f19157,f9655,f9963,f9966,f10867]) ).
thf(f19181,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_152
| ~ spl0_198 ),
inference(constrained_superposition,[],[f19059,f10649]) ).
thf(f19185,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_152
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f19181]) ).
thf(f19187,plain,
( $false
| ~ spl0_41
| ~ spl0_152
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f19185,f573]) ).
thf(f19188,plain,
( ~ spl0_41
| ~ spl0_152
| ~ spl0_198 ),
inference(avatar_contradiction_clause,[],[f19187]) ).
thf(f19189,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_33
| spl0_150 ),
inference(forward_subsumption_resolution,[],[f19044,f26]) ).
thf(f19192,plain,
( spl0_160
| spl0_198
| ~ spl0_33
| spl0_150 ),
inference(avatar_split_clause,[],[f19189,f9941,f366,f10648,f10051]) ).
thf(f19195,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_242 ),
inference(constrained_superposition,[],[f30,f11778]) ).
thf(f19196,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f19195]) ).
thf(f19197,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_152
| ~ spl0_242 ),
inference(constrained_superposition,[],[f19196,f9949]) ).
thf(f19199,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_152
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f19197]) ).
thf(f19208,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_287 ),
inference(constrained_superposition,[],[f178,f15758]) ).
thf(f19210,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_124
| ~ spl0_287 ),
inference(constrained_superposition,[],[f8401,f15758]) ).
thf(f19223,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_124
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f19210]) ).
thf(f19229,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) )
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f19208]) ).
thf(f19236,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_226
| ~ spl0_287 ),
inference(forward_subsumption_resolution,[],[f19229,f11051]) ).
thf(f19239,plain,
( ~ spl0_187
| spl0_186
| spl0_226
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f19236,f15757,f10893,f10472,f10475]) ).
thf(f19284,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_167
| ~ spl0_191 ),
inference(constrained_superposition,[],[f18748,f10621]) ).
thf(f19290,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_167
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f19284]) ).
thf(f19292,plain,
( $false
| ~ spl0_41
| ~ spl0_167
| ~ spl0_191 ),
inference(forward_subsumption_resolution,[],[f19290,f573]) ).
thf(f19293,plain,
( ~ spl0_41
| ~ spl0_167
| ~ spl0_191 ),
inference(avatar_contradiction_clause,[],[f19292]) ).
thf(f19322,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_34
| ~ spl0_143 ),
inference(constrained_superposition,[],[f18546,f9663]) ).
thf(f19328,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_34
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f19322]) ).
thf(f19334,plain,
( $false
| ~ spl0_34
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f19328,f466]) ).
thf(f19335,plain,
( ~ spl0_34
| ~ spl0_143 ),
inference(avatar_contradiction_clause,[],[f19334]) ).
thf(f19383,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_162 ),
inference(constrained_superposition,[],[f30,f10158]) ).
thf(f19384,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f19383]) ).
thf(f19458,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_141
| ~ spl0_157 ),
inference(constrained_superposition,[],[f9967,f9656]) ).
thf(f19464,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_157 ),
inference(constrained_superposition,[],[f9967,f34]) ).
thf(f19473,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_141
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f19458]) ).
thf(f19476,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f19464]) ).
thf(f19481,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_141
| ~ spl0_157 ),
inference(constrained_superposition,[],[f19473,f9656]) ).
thf(f19486,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_141
| ~ spl0_157 ),
inference(constrained_superposition,[],[f19473,f35]) ).
thf(f19491,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_141
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f19481]) ).
thf(f19492,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_141
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f19486]) ).
thf(f19503,plain,
( ~ spl0_12
| ~ spl0_152
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f19199,f11777,f9948,f187]) ).
thf(f19505,plain,
( spl0_213
| ~ spl0_204
| spl0_203
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f19151,f9655,f10668,f10671,f10720]) ).
thf(f19509,plain,
( spl0_155
| spl0_152
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f19150,f9655,f9948,f9959]) ).
thf(f19511,plain,
( spl0_203
| ~ spl0_204
| ~ spl0_124
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f19158,f9655,f8400,f10671,f10668]) ).
thf(f19512,plain,
( ~ spl0_36
| spl0_191
| ~ spl0_141
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f19492,f9966,f9655,f10620,f541]) ).
thf(f19516,plain,
( spl0_201
| spl0_206
| ~ spl0_207
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f18800,f9676,f10682,f10679,f10660]) ).
thf(f19522,plain,
( spl0_246
| spl0_159
| ~ spl0_158
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f19155,f9655,f9970,f9973,f12049]) ).
thf(f19524,definition,
( spl0_321
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_321])],[avatar_definition]) ).
thf(f19525,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_321 ),
inference(avatar_component_clause,[],[f19524]) ).
thf(f19526,plain,
( spl0_321
| spl0_201
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f19476,f9966,f10660,f19524]) ).
thf(f19558,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f30,f10669]) ).
thf(f19559,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f19558]) ).
thf(f19564,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_321 ),
inference(constrained_superposition,[],[f19525,f156]) ).
thf(f19570,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f19564]) ).
thf(f19579,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_141
| ~ spl0_157 ),
inference(constrained_superposition,[],[f19491,f29]) ).
thf(f19581,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_141
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f19579]) ).
thf(f19585,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_141
| spl0_152
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f19581,f11507]) ).
thf(f19591,plain,
( spl0_161
| ~ spl0_141
| spl0_152
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f19585,f9966,f9948,f9655,f10054]) ).
thf(f19612,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_147
| ~ spl0_269 ),
inference(constrained_superposition,[],[f13626,f9677]) ).
thf(f19624,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_147
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f19612]) ).
thf(f19629,plain,
( ~ spl0_170
| ~ spl0_147
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f19624,f13625,f9676,f10187]) ).
thf(f19637,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_140 ),
inference(constrained_superposition,[],[f13298,f9653]) ).
thf(f19638,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_140 ),
inference(constrained_superposition,[],[f30,f9653]) ).
thf(f19640,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_8
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f19637]) ).
thf(f19641,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f19638]) ).
thf(f19642,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_127 ),
inference(constrained_superposition,[],[f8411,f29]) ).
thf(f19645,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f19642]) ).
thf(f19650,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_147
| ~ spl0_268 ),
inference(constrained_superposition,[],[f13519,f9677]) ).
thf(f19656,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_147
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f19650]) ).
thf(f19666,plain,
( ~ spl0_171
| ~ spl0_147
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f19656,f13518,f9676,f10191]) ).
thf(f19669,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_140
| ~ spl0_162 ),
inference(constrained_superposition,[],[f19384,f9653]) ).
thf(f19674,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_140
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f19669]) ).
thf(f19676,plain,
( $false
| ~ spl0_140
| ~ spl0_162
| ~ spl0_242 ),
inference(forward_subsumption_resolution,[],[f19674,f11778]) ).
thf(f19677,plain,
( ~ spl0_140
| ~ spl0_162
| ~ spl0_242 ),
inference(avatar_contradiction_clause,[],[f19676]) ).
thf(f19714,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_321 ),
inference(constrained_superposition,[],[f19570,f34]) ).
thf(f19717,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f19714]) ).
thf(f19719,plain,
( spl0_35
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f19717,f19524,f538]) ).
thf(f19720,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_184
| ~ spl0_274 ),
inference(constrained_superposition,[],[f18530,f15119]) ).
thf(f19727,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_184
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f19720]) ).
thf(f19728,plain,
( $false
| ~ spl0_184
| ~ spl0_242
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f19727,f11778]) ).
thf(f19729,plain,
( ~ spl0_184
| ~ spl0_242
| ~ spl0_274 ),
inference(avatar_contradiction_clause,[],[f19728]) ).
thf(f19733,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_244
| ~ spl0_274 ),
inference(constrained_superposition,[],[f18882,f15119]) ).
thf(f19737,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_244
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f19733]) ).
thf(f19739,plain,
( $false
| ~ spl0_242
| ~ spl0_244
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f19737,f11778]) ).
thf(f19740,plain,
( ~ spl0_242
| ~ spl0_244
| ~ spl0_274 ),
inference(avatar_contradiction_clause,[],[f19739]) ).
thf(f19743,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_246 ),
inference(constrained_superposition,[],[f30,f12050]) ).
thf(f19744,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_246 ),
inference(trivial_inequality_removal,[],[f19743]) ).
thf(f19745,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_140
| ~ spl0_246 ),
inference(constrained_superposition,[],[f19744,f9653]) ).
thf(f19750,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_140
| ~ spl0_246 ),
inference(trivial_inequality_removal,[],[f19745]) ).
thf(f19751,plain,
( $false
| ~ spl0_140
| ~ spl0_242
| ~ spl0_246 ),
inference(forward_subsumption_resolution,[],[f19750,f11778]) ).
thf(f19752,plain,
( ~ spl0_140
| ~ spl0_242
| ~ spl0_246 ),
inference(avatar_contradiction_clause,[],[f19751]) ).
thf(f19753,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_145
| ~ spl0_203 ),
inference(constrained_superposition,[],[f19559,f9670]) ).
thf(f19757,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_145
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f19753]) ).
thf(f19759,plain,
( $false
| ~ spl0_145
| ~ spl0_203
| ~ spl0_211 ),
inference(forward_subsumption_resolution,[],[f19757,f10711]) ).
thf(f19760,plain,
( ~ spl0_145
| ~ spl0_203
| ~ spl0_211 ),
inference(avatar_contradiction_clause,[],[f19759]) ).
thf(f19768,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_188 ),
inference(constrained_superposition,[],[f10480,f29]) ).
thf(f19771,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_188 ),
inference(trivial_inequality_removal,[],[f19768]) ).
thf(f19773,plain,
( spl0_244
| spl0_219
| spl0_188 ),
inference(avatar_split_clause,[],[f19771,f10479,f10837,f11785]) ).
thf(f19835,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_140 ),
inference(constrained_superposition,[],[f19641,f122]) ).
thf(f19836,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_140
| ~ spl0_191 ),
inference(constrained_superposition,[],[f19641,f10621]) ).
thf(f19837,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_8
| ~ spl0_140 ),
inference(trivial_inequality_removal,[],[f19835]) ).
thf(f19839,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_140
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f19836]) ).
thf(f19840,plain,
( $false
| ~ spl0_140
| ~ spl0_191
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f19839,f10649]) ).
thf(f19841,plain,
( ~ spl0_140
| ~ spl0_191
| ~ spl0_198 ),
inference(avatar_contradiction_clause,[],[f19840]) ).
thf(f19842,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_140
| ~ spl0_162 ),
inference(constrained_superposition,[],[f19641,f10158]) ).
thf(f19847,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_140
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f19842]) ).
thf(f19850,plain,
( $false
| ~ spl0_140
| ~ spl0_150
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[],[f19847,f9942]) ).
thf(f19851,plain,
( ~ spl0_140
| ~ spl0_150
| ~ spl0_162 ),
inference(avatar_contradiction_clause,[],[f19850]) ).
thf(f19859,plain,
( spl0_203
| ~ spl0_242
| ~ spl0_8
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f19640,f9652,f121,f11777,f10668]) ).
thf(f19873,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_321 ),
inference(constrained_superposition,[],[f19525,f55]) ).
thf(f19883,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f19873]) ).
thf(f19935,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_146 ),
inference(constrained_superposition,[],[f13298,f9674]) ).
thf(f19936,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_146 ),
inference(constrained_superposition,[],[f30,f9674]) ).
thf(f19938,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f19935]) ).
thf(f19939,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f19936]) ).
thf(f19960,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_275 ),
inference(constrained_superposition,[],[f178,f15122]) ).
thf(f19979,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f19960]) ).
thf(f19989,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_227
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f19979,f11155]) ).
thf(f19993,plain,
( ~ spl0_156
| spl0_157
| spl0_227
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f19989,f15121,f10897,f9966,f9963]) ).
thf(f20039,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_143
| ~ spl0_211 ),
inference(constrained_superposition,[],[f18494,f9663]) ).
thf(f20042,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_143
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f20039]) ).
thf(f20044,plain,
( $false
| ~ spl0_143
| ~ spl0_203
| ~ spl0_211 ),
inference(forward_subsumption_resolution,[],[f20042,f10669]) ).
thf(f20045,plain,
( ~ spl0_143
| ~ spl0_203
| ~ spl0_211 ),
inference(avatar_contradiction_clause,[],[f20044]) ).
thf(f20048,plain,
( spl0_203
| ~ spl0_150
| ~ spl0_8
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f19837,f9652,f121,f9941,f10668]) ).
thf(f20050,plain,
( ~ spl0_246
| spl0_201
| ~ spl0_8
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f19938,f9673,f121,f10660,f12049]) ).
thf(f20138,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_157
| ~ spl0_275 ),
inference(constrained_superposition,[],[f9967,f15122]) ).
thf(f20140,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_157 ),
inference(constrained_superposition,[],[f9967,f155]) ).
thf(f20152,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_157
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f20138]) ).
thf(f20153,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f20140]) ).
thf(f20178,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_157
| ~ spl0_275 ),
inference(constrained_superposition,[],[f20152,f15122]) ).
thf(f20185,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_157
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f20178]) ).
thf(f20203,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_157
| ~ spl0_275 ),
inference(constrained_superposition,[],[f20185,f53]) ).
thf(f20209,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_157
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f20203]) ).
thf(f20214,plain,
( ( z
= ( s @ ( s @ z ) ) )
| spl0_152
| ~ spl0_157
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f20209,f11507]) ).
thf(f20218,plain,
( $false
| spl0_152
| ~ spl0_157
| ~ spl0_275 ),
inference(forward_subsumption_resolution,[],[f20214,f26]) ).
thf(f20219,plain,
( spl0_152
| ~ spl0_157
| ~ spl0_275 ),
inference(avatar_contradiction_clause,[],[f20218]) ).
thf(f20241,plain,
( spl0_201
| ~ spl0_210
| ~ spl0_124
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f19223,f15757,f8400,f10701,f10660]) ).
thf(f20242,plain,
( spl0_12
| ~ spl0_7
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f19883,f19524,f118,f187]) ).
thf(f20244,plain,
( spl0_226
| spl0_237
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f20153,f9966,f11576,f10893]) ).
thf(f20245,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f30,f71]) ).
thf(f20246,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f20245]) ).
thf(f20269,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_158 ),
inference(constrained_superposition,[],[f9971,f29]) ).
thf(f20272,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_158 ),
inference(trivial_inequality_removal,[],[f20269]) ).
thf(f20274,plain,
( spl0_242
| spl0_160
| spl0_158 ),
inference(avatar_split_clause,[],[f20272,f9970,f10051,f11777]) ).
thf(f20275,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_203 ),
inference(constrained_superposition,[],[f30,f10669]) ).
thf(f20276,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f20275]) ).
thf(f20332,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_87
| ~ spl0_99 ),
inference(constrained_superposition,[],[f18552,f6613]) ).
thf(f20334,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_87
| ~ spl0_99 ),
inference(trivial_inequality_removal,[],[f20332]) ).
thf(f20336,plain,
( $false
| ~ spl0_10
| ~ spl0_87
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[],[f20334,f181]) ).
thf(f20337,plain,
( ~ spl0_10
| ~ spl0_87
| ~ spl0_99 ),
inference(avatar_contradiction_clause,[],[f20336]) ).
thf(f20388,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_141 ),
inference(constrained_superposition,[],[f113,f9656]) ).
thf(f20406,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f20388]) ).
thf(f20472,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_145
| ~ spl0_146 ),
inference(constrained_superposition,[],[f19939,f9670]) ).
thf(f20473,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_145
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f20472]) ).
thf(f20474,plain,
( $false
| ~ spl0_145
| ~ spl0_146
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f20473,f15755]) ).
thf(f20475,plain,
( ~ spl0_145
| ~ spl0_146
| ~ spl0_286 ),
inference(avatar_contradiction_clause,[],[f20474]) ).
thf(f20477,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_246 ),
inference(constrained_superposition,[],[f20246,f12050]) ).
thf(f20479,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_246 ),
inference(trivial_inequality_removal,[],[f20477]) ).
thf(f20481,plain,
( $false
| ~ spl0_1
| ~ spl0_203
| ~ spl0_246 ),
inference(forward_subsumption_resolution,[],[f20479,f10669]) ).
thf(f20482,plain,
( ~ spl0_1
| ~ spl0_203
| ~ spl0_246 ),
inference(avatar_contradiction_clause,[],[f20481]) ).
thf(f20483,plain,
( spl0_150
| spl0_149
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f20406,f9655,f9938,f9941]) ).
thf(f20496,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_127 ),
inference(constrained_superposition,[],[f19645,f155]) ).
thf(f20501,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_127 ),
inference(constrained_superposition,[],[f19645,f156]) ).
thf(f20508,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f20496]) ).
thf(f20509,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_127 ),
inference(trivial_inequality_removal,[],[f20501]) ).
thf(f20530,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_141
| ~ spl0_254 ),
inference(constrained_superposition,[],[f12434,f9656]) ).
thf(f20545,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_141
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f20530]) ).
thf(f20548,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_141
| ~ spl0_254 ),
inference(constrained_superposition,[],[f20545,f56]) ).
thf(f20553,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_141
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f20548]) ).
thf(f20556,plain,
( spl0_162
| ~ spl0_141
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f20553,f12433,f9655,f10157]) ).
thf(f20557,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_167
| ~ spl0_203 ),
inference(constrained_superposition,[],[f20276,f10177]) ).
thf(f20560,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_167
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f20557]) ).
thf(f20561,plain,
( $false
| ~ spl0_10
| ~ spl0_167
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f20560,f181]) ).
thf(f20562,plain,
( ~ spl0_10
| ~ spl0_167
| ~ spl0_203 ),
inference(avatar_contradiction_clause,[],[f20561]) ).
thf(f20563,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f20508,f26]) ).
thf(f20565,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f20509,f26]) ).
thf(f20567,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f20563,f26]) ).
thf(f20568,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f20565,f26]) ).
thf(f20569,plain,
( spl0_18
| spl0_10
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f20567,f8410,f180,f240]) ).
thf(f20570,plain,
( spl0_35
| spl0_10
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f20568,f8410,f180,f538]) ).
thf(f20573,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_22 ),
inference(constrained_superposition,[],[f276,f29]) ).
thf(f20574,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_22 ),
inference(trivial_inequality_removal,[],[f20573]) ).
thf(f20577,plain,
( spl0_27
| spl0_28
| spl0_22 ),
inference(avatar_split_clause,[],[f20574,f275,f312,f309]) ).
thf(f20611,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_211 ),
inference(constrained_superposition,[],[f30,f10711]) ).
thf(f20612,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f20611]) ).
thf(f20619,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_289 ),
inference(constrained_superposition,[],[f15917,f56]) ).
thf(f20624,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_289 ),
inference(trivial_inequality_removal,[],[f20619]) ).
thf(f20625,plain,
( spl0_8
| ~ spl0_289 ),
inference(avatar_split_clause,[],[f20624,f15916,f121]) ).
thf(f20635,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_187 ),
inference(constrained_superposition,[],[f10476,f29]) ).
thf(f20638,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_187 ),
inference(trivial_inequality_removal,[],[f20635]) ).
thf(f20641,plain,
( spl0_234
| spl0_227
| spl0_187 ),
inference(avatar_split_clause,[],[f20638,f10475,f10897,f11209]) ).
thf(f20668,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_211
| ~ spl0_256 ),
inference(constrained_superposition,[],[f20612,f12459]) ).
thf(f20669,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_211
| ~ spl0_274 ),
inference(constrained_superposition,[],[f20612,f15119]) ).
thf(f20671,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_211
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f20668]) ).
thf(f20672,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_211
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f20669]) ).
thf(f20674,plain,
( $false
| ~ spl0_111
| ~ spl0_211
| ~ spl0_256 ),
inference(forward_subsumption_resolution,[],[f20671,f7293]) ).
thf(f20675,plain,
( ~ spl0_111
| ~ spl0_211
| ~ spl0_256 ),
inference(avatar_contradiction_clause,[],[f20674]) ).
thf(f20683,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_287 ),
inference(constrained_superposition,[],[f68,f15758]) ).
thf(f20699,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f20683]) ).
thf(f20743,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_288 ),
inference(constrained_superposition,[],[f15884,f156]) ).
thf(f20747,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f20743]) ).
thf(f20756,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f534,f9660]) ).
thf(f20759,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f6583,f9660]) ).
thf(f20760,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f178,f9660]) ).
thf(f20761,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ X0 )
!= $true ) )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f68,f9660]) ).
thf(f20764,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f42,f9660]) ).
thf(f20775,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f20761]) ).
thf(f20777,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f20764]) ).
thf(f20779,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f20759]) ).
thf(f20782,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f20760]) ).
thf(f20784,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f20756]) ).
thf(f20790,plain,
( spl0_231
| spl0_300
| ~ spl0_301
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f20779,f9659,f16289,f16286,f10965]) ).
thf(f20792,plain,
( spl0_167
| spl0_177
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f20784,f9659,f10316,f10176]) ).
thf(f20861,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f30,f10658]) ).
thf(f20863,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f20861]) ).
thf(f20869,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_256 ),
inference(constrained_superposition,[],[f30,f12459]) ).
thf(f20871,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f20869]) ).
thf(f20872,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_146
| ~ spl0_200 ),
inference(constrained_superposition,[],[f20863,f9674]) ).
thf(f20874,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_146
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f20872]) ).
thf(f20901,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_256
| ~ spl0_274 ),
inference(constrained_superposition,[],[f20871,f15119]) ).
thf(f20904,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_256
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f20901]) ).
thf(f20907,plain,
( $false
| ~ spl0_221
| ~ spl0_256
| ~ spl0_274 ),
inference(forward_subsumption_resolution,[],[f20904,f10872]) ).
thf(f20908,plain,
( ~ spl0_221
| ~ spl0_256
| ~ spl0_274 ),
inference(avatar_contradiction_clause,[],[f20907]) ).
thf(f20912,plain,
( ~ spl0_188
| spl0_242
| spl0_189
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f20699,f15757,f10482,f11777,f10479]) ).
thf(f20914,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_241 ),
inference(constrained_superposition,[],[f30,f11774]) ).
thf(f20915,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f20914]) ).
thf(f20947,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_99
| ~ spl0_241 ),
inference(constrained_superposition,[],[f20915,f6726]) ).
thf(f20949,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_99
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f20947]) ).
thf(f20951,plain,
( $false
| ~ spl0_14
| ~ spl0_99
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f20949,f203]) ).
thf(f20952,plain,
( ~ spl0_14
| ~ spl0_99
| ~ spl0_241 ),
inference(avatar_contradiction_clause,[],[f20951]) ).
thf(f20984,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_169 ),
inference(constrained_superposition,[],[f10185,f155]) ).
thf(f20986,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_169 ),
inference(constrained_superposition,[],[f10185,f55]) ).
thf(f20988,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_169 ),
inference(constrained_superposition,[],[f10185,f34]) ).
thf(f20991,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f20986]) ).
thf(f20994,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f20988]) ).
thf(f20996,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f20984]) ).
thf(f21000,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_169
| spl0_246 ),
inference(forward_subsumption_resolution,[],[f20991,f15782]) ).
thf(f21001,plain,
( spl0_55
| spl0_203
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f20994,f10184,f10668,f986]) ).
thf(f21003,plain,
( spl0_220
| spl0_95
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f20996,f10184,f6693,f10867]) ).
thf(f21005,plain,
( spl0_54
| ~ spl0_169
| spl0_246 ),
inference(avatar_split_clause,[],[f21000,f12049,f10184,f982]) ).
thf(f21027,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_246 ),
inference(constrained_superposition,[],[f20246,f12050]) ).
thf(f21029,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_246 ),
inference(trivial_inequality_removal,[],[f21027]) ).
thf(f21066,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_189
| ~ spl0_287 ),
inference(constrained_superposition,[],[f10483,f15758]) ).
thf(f21083,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_189
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f21066]) ).
thf(f21085,plain,
( spl0_224
| ~ spl0_189
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f21083,f15757,f10482,f10882]) ).
thf(f21106,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ~ spl0_224
| ~ spl0_287 ),
inference(constrained_superposition,[],[f10883,f15758]) ).
thf(f21115,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ~ spl0_224
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f21106]) ).
thf(f21120,plain,
( ~ spl0_249
| ~ spl0_224
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f21115,f15757,f10882,f12210]) ).
thf(f21161,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_144
| ~ spl0_189 ),
inference(constrained_superposition,[],[f10483,f9667]) ).
thf(f21163,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_144
| ~ spl0_238 ),
inference(constrained_superposition,[],[f11677,f9667]) ).
thf(f21165,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_144 ),
inference(constrained_superposition,[],[f113,f9667]) ).
thf(f21169,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_144 ),
inference(constrained_superposition,[],[f68,f9667]) ).
thf(f21178,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f21169]) ).
thf(f21182,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f21165]) ).
thf(f21184,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_144
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f21161]) ).
thf(f21187,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_144
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f21163]) ).
thf(f21195,plain,
( spl0_184
| spl0_185
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f21182,f9666,f10468,f10465]) ).
thf(f21196,plain,
( spl0_232
| ~ spl0_144
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f21184,f10482,f9666,f10968]) ).
thf(f21198,plain,
( spl0_306
| spl0_256
| ~ spl0_144
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f21187,f11676,f9666,f12458,f16590]) ).
thf(f21204,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_142
| ~ spl0_257 ),
inference(constrained_superposition,[],[f12462,f9660]) ).
thf(f21210,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_257 ),
inference(constrained_superposition,[],[f12462,f34]) ).
thf(f21217,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_257 ),
inference(trivial_inequality_removal,[],[f21210]) ).
thf(f21220,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_142
| ~ spl0_257 ),
inference(trivial_inequality_removal,[],[f21204]) ).
thf(f21222,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_246
| ~ spl0_257 ),
inference(forward_subsumption_resolution,[],[f21217,f21029]) ).
thf(f21223,plain,
( ~ spl0_120
| ~ spl0_1
| ~ spl0_246
| ~ spl0_257 ),
inference(avatar_split_clause,[],[f21222,f12461,f12049,f70,f8126]) ).
thf(f21235,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_142
| ~ spl0_257 ),
inference(constrained_superposition,[],[f21220,f6255]) ).
thf(f21243,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_142
| ~ spl0_257 ),
inference(trivial_inequality_removal,[],[f21235]) ).
thf(f21251,plain,
( spl0_256
| ~ spl0_142
| ~ spl0_257 ),
inference(avatar_split_clause,[],[f21243,f12461,f9659,f12458]) ).
thf(f21253,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_241 ),
inference(constrained_superposition,[],[f20246,f11774]) ).
thf(f21255,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f21253]) ).
thf(f21420,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_300 ),
inference(constrained_superposition,[],[f16287,f6254]) ).
thf(f21436,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_300 ),
inference(trivial_inequality_removal,[],[f21420]) ).
thf(f21442,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_146
| ~ spl0_200
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f21436,f20874]) ).
thf(f21484,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_146
| ~ spl0_200
| ~ spl0_300 ),
inference(constrained_superposition,[],[f21442,f34]) ).
thf(f21491,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_146
| ~ spl0_200
| ~ spl0_300 ),
inference(trivial_inequality_removal,[],[f21484]) ).
thf(f21495,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_146
| ~ spl0_200
| ~ spl0_241
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f21491,f21255]) ).
thf(f21496,plain,
( ~ spl0_265
| ~ spl0_1
| ~ spl0_146
| ~ spl0_200
| ~ spl0_241
| ~ spl0_300 ),
inference(avatar_split_clause,[],[f21495,f16286,f11773,f10657,f9673,f70,f12799]) ).
thf(f21497,plain,
( spl0_172
| spl0_227
| ~ spl0_171
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f20782,f9659,f10191,f10897,f10194]) ).
thf(f21498,plain,
( ~ spl0_39
| ~ spl0_36
| spl0_87
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f20747,f15883,f6612,f541,f552]) ).
thf(f21518,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_126
| ~ spl0_246 ),
inference(constrained_superposition,[],[f21029,f8408]) ).
thf(f21519,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_126
| ~ spl0_211
| ~ spl0_274 ),
inference(constrained_superposition,[],[f20672,f8408]) ).
thf(f21521,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_126
| ~ spl0_246 ),
inference(trivial_inequality_removal,[],[f21518]) ).
thf(f21523,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_126
| ~ spl0_211
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f21519]) ).
thf(f21524,plain,
( spl0_191
| ~ spl0_1
| ~ spl0_126
| ~ spl0_246 ),
inference(avatar_split_clause,[],[f21521,f12049,f8407,f70,f10620]) ).
thf(f21526,plain,
( spl0_198
| ~ spl0_126
| ~ spl0_211
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f21523,f15118,f10710,f8407,f10648]) ).
thf(f21528,plain,
( ~ spl0_207
| spl0_206
| spl0_211
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f20777,f9659,f10710,f10679,f10682]) ).
thf(f21529,plain,
( spl0_169
| spl0_244
| ~ spl0_170
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f20775,f9659,f10187,f11785,f10184]) ).
thf(f21530,plain,
( spl0_246
| ~ spl0_188
| spl0_189
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f21178,f9666,f10482,f10479,f12049]) ).
thf(f21543,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_87 ),
inference(constrained_superposition,[],[f30,f6613]) ).
thf(f21544,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_87 ),
inference(trivial_inequality_removal,[],[f21543]) ).
thf(f21593,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_221 ),
inference(constrained_superposition,[],[f30,f10872]) ).
thf(f21594,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f21593]) ).
thf(f21696,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_144
| ~ spl0_232 ),
inference(constrained_superposition,[],[f10969,f9667]) ).
thf(f21703,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ~ spl0_144
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f21696]) ).
thf(f21710,plain,
( ~ spl0_249
| ~ spl0_144
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f21703,f10968,f9666,f12210]) ).
thf(f21758,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_111 ),
inference(constrained_superposition,[],[f30,f7293]) ).
thf(f21759,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f21758]) ).
thf(f21795,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_179 ),
inference(constrained_superposition,[],[f6255,f10347]) ).
thf(f21900,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_179 ),
inference(forward_subsumption_resolution,[],[f21795,f25]) ).
thf(f21913,plain,
( $false
| ~ spl0_179 ),
inference(forward_subsumption_resolution,[],[f21900,f31]) ).
thf(f21914,plain,
~ spl0_179,
inference(avatar_contradiction_clause,[],[f21913]) ).
thf(f21951,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_87
| ~ spl0_231 ),
inference(constrained_superposition,[],[f21544,f10966]) ).
thf(f21956,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_87
| ~ spl0_231 ),
inference(trivial_inequality_removal,[],[f21951]) ).
thf(f21957,plain,
( $false
| ~ spl0_87
| ~ spl0_227
| ~ spl0_231 ),
inference(forward_subsumption_resolution,[],[f21956,f10898]) ).
thf(f21958,plain,
( ~ spl0_87
| ~ spl0_227
| ~ spl0_231 ),
inference(avatar_contradiction_clause,[],[f21957]) ).
thf(f21969,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_301 ),
inference(constrained_superposition,[],[f16290,f53]) ).
thf(f21973,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_301 ),
inference(trivial_inequality_removal,[],[f21969]) ).
thf(f21978,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_114
| spl0_301 ),
inference(forward_subsumption_resolution,[],[f21973,f15099]) ).
thf(f21985,plain,
( spl0_223
| spl0_114
| spl0_301 ),
inference(avatar_split_clause,[],[f21978,f16289,f7790,f10878]) ).
thf(f21987,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_111
| ~ spl0_223 ),
inference(constrained_superposition,[],[f21759,f10879]) ).
thf(f21989,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_111
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f21987]) ).
thf(f21992,plain,
( $false
| ~ spl0_111
| ~ spl0_203
| ~ spl0_223 ),
inference(forward_subsumption_resolution,[],[f21989,f10669]) ).
thf(f21993,plain,
( ~ spl0_111
| ~ spl0_203
| ~ spl0_223 ),
inference(avatar_contradiction_clause,[],[f21992]) ).
thf(f22006,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_146
| ~ spl0_221 ),
inference(constrained_superposition,[],[f21594,f9674]) ).
thf(f22009,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_146
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f22006]) ).
thf(f22021,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_300 ),
inference(constrained_superposition,[],[f16287,f6254]) ).
thf(f22031,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_300 ),
inference(trivial_inequality_removal,[],[f22021]) ).
thf(f22039,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_146
| ~ spl0_221
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f22031,f22009]) ).
thf(f22059,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_146
| ~ spl0_221
| ~ spl0_300 ),
inference(constrained_superposition,[],[f22039,f55]) ).
thf(f22067,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_146
| ~ spl0_221
| ~ spl0_300 ),
inference(trivial_inequality_removal,[],[f22059]) ).
thf(f22072,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_146
| ~ spl0_221
| spl0_241
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f22067,f15777]) ).
thf(f22073,plain,
( ~ spl0_192
| ~ spl0_146
| ~ spl0_221
| spl0_241
| ~ spl0_300 ),
inference(avatar_split_clause,[],[f22072,f16286,f11773,f10871,f9673,f10625]) ).
thf(f22075,definition,
( spl0_329
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_329])],[avatar_definition]) ).
thf(f22076,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_329 ),
inference(avatar_component_clause,[],[f22075]) ).
thf(f22077,plain,
( spl0_329
| spl0_223
| ~ spl0_300 ),
inference(avatar_split_clause,[],[f22031,f16286,f10878,f22075]) ).
thf(f22081,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_329 ),
inference(constrained_superposition,[],[f22076,f55]) ).
thf(f22091,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f22081]) ).
thf(f22094,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_241
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f22091,f15777]) ).
thf(f22095,plain,
( ~ spl0_192
| spl0_241
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f22094,f22075,f11773,f10625]) ).
thf(f22127,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_144
| ~ spl0_306 ),
inference(constrained_superposition,[],[f16591,f9667]) ).
thf(f22133,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_144
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f22127]) ).
thf(f22141,plain,
( ~ spl0_210
| ~ spl0_292
| ~ spl0_144
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f22133,f16590,f9666,f16171,f10701]) ).
thf(f22144,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_292 ),
inference(constrained_superposition,[],[f16172,f53]) ).
thf(f22148,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_292 ),
inference(trivial_inequality_removal,[],[f22144]) ).
thf(f22193,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_142
| ~ spl0_303 ),
inference(constrained_superposition,[],[f16406,f9660]) ).
thf(f22202,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_142
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f22193]) ).
thf(f22207,plain,
( ~ spl0_171
| ~ spl0_170
| ~ spl0_142
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f22202,f16405,f9659,f10187,f10191]) ).
thf(f22213,plain,
( spl0_160
| spl0_231
| spl0_292 ),
inference(avatar_split_clause,[],[f22148,f16171,f10965,f10051]) ).
thf(f22231,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_275
| ~ spl0_303 ),
inference(constrained_superposition,[],[f16406,f15122]) ).
thf(f22246,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_275
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f22231]) ).
thf(f22261,plain,
( ~ spl0_158
| ~ spl0_156
| ~ spl0_275
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f22246,f16405,f15121,f9963,f9970]) ).
thf(f22273,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_170 ),
inference(constrained_superposition,[],[f10188,f29]) ).
thf(f22275,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_170 ),
inference(trivial_inequality_removal,[],[f22273]) ).
thf(f22277,plain,
( spl0_246
| spl0_178
| spl0_170 ),
inference(avatar_split_clause,[],[f22275,f10187,f10343,f12049]) ).
thf(f22334,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_147 ),
inference(constrained_superposition,[],[f534,f9677]) ).
thf(f22339,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_147 ),
inference(constrained_superposition,[],[f178,f9677]) ).
thf(f22355,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f22339]) ).
thf(f22356,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f22334]) ).
thf(f22367,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_147
| spl0_226 ),
inference(forward_subsumption_resolution,[],[f22355,f11051]) ).
thf(f22368,plain,
( spl0_166
| spl0_167
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f22356,f9676,f10176,f10173]) ).
thf(f22370,plain,
( ~ spl0_171
| spl0_172
| ~ spl0_147
| spl0_226 ),
inference(avatar_split_clause,[],[f22367,f10893,f9676,f10194,f10191]) ).
thf(f22456,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_147
| ~ spl0_172 ),
inference(constrained_superposition,[],[f10195,f9677]) ).
thf(f22471,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_147
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f22456]) ).
thf(f22495,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_147
| ~ spl0_172 ),
inference(constrained_superposition,[],[f22471,f56]) ).
thf(f22503,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_147
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f22495]) ).
thf(f22506,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_147
| spl0_150
| ~ spl0_172 ),
inference(forward_subsumption_resolution,[],[f22503,f13183]) ).
thf(f22508,plain,
( ~ spl0_39
| ~ spl0_147
| spl0_150
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f22506,f10194,f9941,f9676,f552]) ).
thf(f22665,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_141
| ~ spl0_308 ),
inference(constrained_superposition,[],[f16687,f9656]) ).
thf(f22671,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_141
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f22665]) ).
thf(f22679,plain,
( ~ spl0_156
| ~ spl0_158
| ~ spl0_141
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f22671,f16686,f9655,f9970,f9963]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f96]) ).
cnf(s3,plain,
( spl0_6
| ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f123]) ).
cnf(s4,plain,
( spl0_1
| spl0_7 ),
inference(sat_conversion,[],[f129]) ).
cnf(s6,plain,
( spl0_1
| ~ spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f141]) ).
cnf(s7,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f185]) ).
cnf(s10,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f207]) ).
cnf(s11,plain,
( ~ spl0_10
| ~ spl0_12
| ~ spl0_14 ),
inference(sat_conversion,[],[f215]) ).
cnf(s13,plain,
( spl0_9
| ~ spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f242]) ).
cnf(s15,plain,
( spl0_21
| ~ spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f280]) ).
cnf(s20,plain,
( spl0_12
| ~ spl0_21
| spl0_29 ),
inference(sat_conversion,[],[f331]) ).
cnf(s24,plain,
( spl0_10
| ~ spl0_21
| spl0_33 ),
inference(sat_conversion,[],[f368]) ).
cnf(s28,plain,
( ~ spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f400]) ).
cnf(s30,plain,
( ~ spl0_8
| ~ spl0_18
| ~ spl0_28
| spl0_34 ),
inference(sat_conversion,[],[f468]) ).
cnf(s31,plain,
( spl0_35
| ~ spl0_36
| spl0_37 ),
inference(sat_conversion,[],[f546]) ).
cnf(s32,plain,
( spl0_38
| ~ spl0_39
| spl0_40 ),
inference(sat_conversion,[],[f557]) ).
cnf(s33,plain,
( spl0_12
| spl0_27
| spl0_39 ),
inference(sat_conversion,[],[f568]) ).
cnf(s34,plain,
( spl0_12
| spl0_39 ),
inference(sat_conversion,[],[f570]) ).
cnf(s36,plain,
( ~ spl0_4
| ~ spl0_23
| spl0_41
| spl0_42 ),
inference(sat_conversion,[],[f577]) ).
cnf(s37,plain,
( ~ spl0_8
| spl0_10
| spl0_28 ),
inference(sat_conversion,[],[f578]) ).
cnf(s38,plain,
( spl0_41
| spl0_43 ),
inference(sat_conversion,[],[f582]) ).
cnf(s40,plain,
( spl0_10
| spl0_36 ),
inference(sat_conversion,[],[f596]) ).
cnf(s42,plain,
( ~ spl0_8
| spl0_10
| ~ spl0_14
| ~ spl0_18
| spl0_44 ),
inference(sat_conversion,[],[f608]) ).
cnf(s55,plain,
( ~ spl0_8
| spl0_10
| ~ spl0_18
| spl0_49 ),
inference(sat_conversion,[],[f642]) ).
cnf(s61,plain,
( ~ spl0_12
| ~ spl0_18
| spl0_49 ),
inference(sat_conversion,[],[f697]) ).
cnf(s63,plain,
( ~ spl0_3
| ~ spl0_17
| spl0_28 ),
inference(sat_conversion,[],[f716]) ).
cnf(s64,plain,
( spl0_28
| spl0_52 ),
inference(sat_conversion,[],[f720]) ).
cnf(s65,plain,
( ~ spl0_17
| spl0_25 ),
inference(sat_conversion,[],[f744]) ).
cnf(s70,plain,
( spl0_1
| ~ spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f817]) ).
cnf(s71,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_28 ),
inference(sat_conversion,[],[f833]) ).
cnf(s72,plain,
( ~ spl0_8
| spl0_10
| ~ spl0_14
| ~ spl0_41 ),
inference(sat_conversion,[],[f837]) ).
cnf(s74,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_14
| spl0_53 ),
inference(sat_conversion,[],[f842]) ).
cnf(s75,plain,
( ~ spl0_9
| spl0_10
| ~ spl0_12
| ~ spl0_14 ),
inference(sat_conversion,[],[f843]) ).
cnf(s77,plain,
( spl0_8
| ~ spl0_15
| spl0_32 ),
inference(sat_conversion,[],[f903]) ).
cnf(s78,plain,
( ~ spl0_9
| spl0_10
| ~ spl0_14
| ~ spl0_28 ),
inference(sat_conversion,[],[f905]) ).
cnf(s79,plain,
( ~ spl0_11
| spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f907]) ).
cnf(s80,plain,
( ~ spl0_14
| spl0_44
| ~ spl0_49 ),
inference(sat_conversion,[],[f908]) ).
cnf(s84,plain,
( spl0_8
| ~ spl0_55 ),
inference(sat_conversion,[],[f1009]) ).
cnf(s101,plain,
~ spl0_56,
inference(sat_conversion,[],[f1166]) ).
cnf(s108,plain,
( spl0_31
| ~ spl0_54 ),
inference(sat_conversion,[],[f1202]) ).
cnf(s114,plain,
( spl0_12
| spl0_27
| spl0_28
| ~ spl0_54 ),
inference(sat_conversion,[],[f1311]) ).
cnf(s116,plain,
( spl0_12
| spl0_28
| ~ spl0_31 ),
inference(sat_conversion,[],[f1396]) ).
cnf(s117,plain,
( ~ spl0_6
| spl0_25
| spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f1420]) ).
cnf(s127,plain,
~ spl0_27,
inference(sat_conversion,[],[f1576]) ).
cnf(s137,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_45
| spl0_46 ),
inference(sat_conversion,[],[f1741]) ).
cnf(s142,plain,
( ~ spl0_9
| ~ spl0_25
| spl0_46 ),
inference(sat_conversion,[],[f1760]) ).
cnf(s145,plain,
( ~ spl0_9
| ~ spl0_23
| spl0_45 ),
inference(sat_conversion,[],[f1795]) ).
cnf(s157,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(sat_conversion,[],[f1924]) ).
cnf(s162,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f1940]) ).
cnf(s163,plain,
( ~ spl0_3
| ~ spl0_5
| spl0_31 ),
inference(sat_conversion,[],[f2036]) ).
cnf(s169,plain,
( spl0_24
| spl0_41 ),
inference(sat_conversion,[],[f2084]) ).
cnf(s176,plain,
( spl0_28
| ~ spl0_29 ),
inference(sat_conversion,[],[f2113]) ).
cnf(s178,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_29 ),
inference(sat_conversion,[],[f2118]) ).
cnf(s185,plain,
( spl0_10
| spl0_12
| spl0_27
| ~ spl0_32 ),
inference(sat_conversion,[],[f2227]) ).
cnf(s190,plain,
( ~ spl0_9
| spl0_34
| ~ spl0_35
| ~ spl0_41 ),
inference(sat_conversion,[],[f2400]) ).
cnf(s197,plain,
( ~ spl0_9
| ~ spl0_18
| spl0_34
| ~ spl0_41 ),
inference(sat_conversion,[],[f2547]) ).
cnf(s211,plain,
( ~ spl0_9
| ~ spl0_34
| ~ spl0_38
| ~ spl0_41
| ~ spl0_46 ),
inference(sat_conversion,[],[f2800]) ).
cnf(s212,plain,
( ~ spl0_9
| spl0_10
| spl0_41 ),
inference(sat_conversion,[],[f2801]) ).
cnf(s216,plain,
( ~ spl0_38
| ~ spl0_41
| ~ spl0_46
| spl0_67 ),
inference(sat_conversion,[],[f2820]) ).
cnf(s228,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_38
| spl0_67 ),
inference(sat_conversion,[],[f2876]) ).
cnf(s230,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_42
| ~ spl0_67 ),
inference(sat_conversion,[],[f2900]) ).
cnf(s231,plain,
( spl0_16
| ~ spl0_59 ),
inference(sat_conversion,[],[f2913]) ).
cnf(s234,plain,
( ~ spl0_14
| ~ spl0_46
| ~ spl0_67 ),
inference(sat_conversion,[],[f2945]) ).
cnf(s235,plain,
( ~ spl0_9
| ~ spl0_14
| ~ spl0_67 ),
inference(sat_conversion,[],[f2948]) ).
cnf(s237,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_23
| ~ spl0_41
| ~ spl0_67 ),
inference(sat_conversion,[],[f3168]) ).
cnf(s242,plain,
( ~ spl0_14
| ~ spl0_28
| ~ spl0_41 ),
inference(sat_conversion,[],[f3250]) ).
cnf(s254,plain,
( ~ spl0_7
| ~ spl0_40
| spl0_73 ),
inference(sat_conversion,[],[f3377]) ).
cnf(s255,plain,
( ~ spl0_22
| ~ spl0_40
| spl0_74 ),
inference(sat_conversion,[],[f3381]) ).
cnf(s261,plain,
( ~ spl0_9
| ~ spl0_14
| ~ spl0_31
| spl0_53 ),
inference(sat_conversion,[],[f3659]) ).
cnf(s266,plain,
( ~ spl0_9
| ~ spl0_14
| spl0_46
| ~ spl0_54
| ~ spl0_73 ),
inference(sat_conversion,[],[f3811]) ).
cnf(s271,plain,
( ~ spl0_14
| ~ spl0_46
| ~ spl0_54
| spl0_56 ),
inference(sat_conversion,[],[f3833]) ).
cnf(s280,plain,
( spl0_35
| ~ spl0_43
| spl0_59 ),
inference(sat_conversion,[],[f3969]) ).
cnf(s285,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_28 ),
inference(sat_conversion,[],[f4011]) ).
cnf(s287,plain,
( ~ spl0_1
| ~ spl0_10
| spl0_12
| ~ spl0_31 ),
inference(sat_conversion,[],[f4015]) ).
cnf(s288,plain,
( ~ spl0_1
| ~ spl0_10
| spl0_12
| ~ spl0_54 ),
inference(sat_conversion,[],[f4016]) ).
cnf(s289,plain,
( spl0_10
| ~ spl0_40
| spl0_55 ),
inference(sat_conversion,[],[f4018]) ).
cnf(s294,plain,
( spl0_12
| ~ spl0_40
| spl0_54 ),
inference(sat_conversion,[],[f4051]) ).
cnf(s359,plain,
( spl0_10
| ~ spl0_53 ),
inference(sat_conversion,[],[f6044]) ).
cnf(s448,plain,
( ~ spl0_1
| ~ spl0_97
| ~ spl0_99 ),
inference(sat_conversion,[],[f7834]) ).
cnf(s462,plain,
~ spl0_114,
inference(sat_conversion,[],[f8064]) ).
cnf(s472,plain,
( ~ spl0_44
| ~ spl0_109
| spl0_110
| spl0_121 ),
inference(sat_conversion,[],[f8132]) ).
cnf(s475,plain,
( ~ spl0_44
| spl0_109
| spl0_114 ),
inference(sat_conversion,[],[f8149]) ).
cnf(s485,plain,
( spl0_124
| spl0_125 ),
inference(sat_conversion,[],[f8405]) ).
cnf(s486,plain,
( spl0_126
| spl0_127 ),
inference(sat_conversion,[],[f8412]) ).
cnf(s488,plain,
( spl0_10
| spl0_41
| ~ spl0_126 ),
inference(sat_conversion,[],[f8444]) ).
cnf(s533,plain,
( spl0_111
| spl0_120 ),
inference(sat_conversion,[],[f9301]) ).
cnf(s558,plain,
~ spl0_89,
inference(sat_conversion,[],[f9874]) ).
cnf(s562,plain,
( spl0_89
| spl0_140
| spl0_141 ),
inference(sat_conversion,[],[f9898]) ).
cnf(s563,plain,
( spl0_89
| spl0_146
| spl0_147 ),
inference(sat_conversion,[],[f9899]) ).
cnf(s564,plain,
( spl0_89
| spl0_142
| spl0_143 ),
inference(sat_conversion,[],[f9900]) ).
cnf(s565,plain,
( spl0_89
| spl0_144
| spl0_145 ),
inference(sat_conversion,[],[f9901]) ).
cnf(s575,plain,
( ~ spl0_44
| spl0_158 ),
inference(sat_conversion,[],[f10008]) ).
cnf(s576,plain,
( ~ spl0_44
| spl0_158 ),
inference(sat_conversion,[],[f10011]) ).
cnf(s587,plain,
( ~ spl0_44
| ~ spl0_141
| ~ spl0_158
| spl0_159 ),
inference(sat_conversion,[],[f10096]) ).
cnf(s603,plain,
( ~ spl0_44
| spl0_170 ),
inference(sat_conversion,[],[f10230]) ).
cnf(s623,plain,
( ~ spl0_44
| ~ spl0_142
| spl0_169
| ~ spl0_170 ),
inference(sat_conversion,[],[f10390]) ).
cnf(s633,plain,
( ~ spl0_44
| ~ spl0_144
| ~ spl0_188
| spl0_189 ),
inference(sat_conversion,[],[f10484]) ).
cnf(s645,plain,
( ~ spl0_141
| spl0_150
| ~ spl0_159
| spl0_160 ),
inference(sat_conversion,[],[f10614]) ).
cnf(s661,plain,
( spl0_89
| spl0_111
| ~ spl0_127
| spl0_200
| spl0_201 ),
inference(sat_conversion,[],[f10694]) ).
cnf(s673,plain,
( spl0_55
| ~ spl0_159
| spl0_201 ),
inference(sat_conversion,[],[f10735]) ).
cnf(s685,plain,
( ~ spl0_127
| ~ spl0_141
| spl0_201
| spl0_203 ),
inference(sat_conversion,[],[f10766]) ).
cnf(s687,plain,
( ~ spl0_127
| ~ spl0_144
| spl0_203
| spl0_211 ),
inference(sat_conversion,[],[f10768]) ).
cnf(s688,plain,
( ~ spl0_127
| ~ spl0_142
| spl0_203
| spl0_211 ),
inference(sat_conversion,[],[f10769]) ).
cnf(s691,plain,
( ~ spl0_127
| ~ spl0_147
| spl0_201
| spl0_203 ),
inference(sat_conversion,[],[f10772]) ).
cnf(s694,plain,
( spl0_97
| spl0_192 ),
inference(sat_conversion,[],[f10794]) ).
cnf(s695,plain,
( spl0_97
| spl0_114
| spl0_192 ),
inference(sat_conversion,[],[f10795]) ).
cnf(s714,plain,
( spl0_89
| spl0_111
| ~ spl0_127
| spl0_201
| spl0_221 ),
inference(sat_conversion,[],[f10914]) ).
cnf(s715,plain,
( spl0_203
| spl0_207 ),
inference(sat_conversion,[],[f10916]) ).
cnf(s716,plain,
( ~ spl0_28
| ~ spl0_35
| ~ spl0_150
| spl0_201 ),
inference(sat_conversion,[],[f10919]) ).
cnf(s718,plain,
( ~ spl0_28
| ~ spl0_35
| ~ spl0_184
| spl0_211 ),
inference(sat_conversion,[],[f10921]) ).
cnf(s722,plain,
( ~ spl0_1
| ~ spl0_150
| ~ spl0_201 ),
inference(sat_conversion,[],[f10963]) ).
cnf(s729,plain,
( ~ spl0_140
| ~ spl0_201
| ~ spl0_203 ),
inference(sat_conversion,[],[f11050]) ).
cnf(s730,plain,
( ~ spl0_35
| ~ spl0_140
| spl0_203
| ~ spl0_226 ),
inference(sat_conversion,[],[f11052]) ).
cnf(s735,plain,
( ~ spl0_1
| ~ spl0_97
| ~ spl0_111 ),
inference(sat_conversion,[],[f11135]) ).
cnf(s738,plain,
( ~ spl0_35
| spl0_111
| ~ spl0_227
| ~ spl0_231 ),
inference(sat_conversion,[],[f11156]) ).
cnf(s740,plain,
( ~ spl0_1
| ~ spl0_184
| ~ spl0_211 ),
inference(sat_conversion,[],[f11182]) ).
cnf(s742,plain,
( spl0_210
| spl0_211 ),
inference(sat_conversion,[],[f11189]) ).
cnf(s744,plain,
( ~ spl0_18
| spl0_211
| spl0_227 ),
inference(sat_conversion,[],[f11194]) ).
cnf(s745,plain,
( spl0_10
| ~ spl0_127
| spl0_178
| spl0_211
| spl0_227 ),
inference(sat_conversion,[],[f11201]) ).
cnf(s755,plain,
( spl0_9
| spl0_10
| ~ spl0_37 ),
inference(sat_conversion,[],[f11247]) ).
cnf(s756,plain,
( spl0_55
| ~ spl0_110
| spl0_111 ),
inference(sat_conversion,[],[f11264]) ).
cnf(s758,plain,
( ~ spl0_18
| ~ spl0_143
| ~ spl0_146
| ~ spl0_201
| ~ spl0_227 ),
inference(sat_conversion,[],[f11310]) ).
cnf(s766,plain,
( ~ spl0_18
| ~ spl0_143
| spl0_203
| ~ spl0_227 ),
inference(sat_conversion,[],[f11330]) ).
cnf(s772,plain,
( spl0_10
| ~ spl0_127
| ~ spl0_143
| spl0_160
| spl0_203
| ~ spl0_227 ),
inference(sat_conversion,[],[f11341]) ).
cnf(s786,plain,
( spl0_95
| ~ spl0_159
| spl0_226 ),
inference(sat_conversion,[],[f11475]) ).
cnf(s792,plain,
( ~ spl0_172
| spl0_220
| spl0_237 ),
inference(sat_conversion,[],[f11578]) ).
cnf(s797,plain,
( ~ spl0_186
| spl0_227
| spl0_237 ),
inference(sat_conversion,[],[f11647]) ).
cnf(s801,plain,
( ~ spl0_110
| spl0_121
| ~ spl0_192 ),
inference(sat_conversion,[],[f11674]) ).
cnf(s802,plain,
( spl0_99
| spl0_238 ),
inference(sat_conversion,[],[f11678]) ).
cnf(s803,plain,
( ~ spl0_125
| spl0_126 ),
inference(sat_conversion,[],[f11704]) ).
cnf(s805,plain,
( ~ spl0_121
| ~ spl0_140 ),
inference(sat_conversion,[],[f11724]) ).
cnf(s808,plain,
( ~ spl0_121
| ~ spl0_143 ),
inference(sat_conversion,[],[f11729]) ).
cnf(s816,plain,
( ~ spl0_10
| spl0_113 ),
inference(sat_conversion,[],[f11750]) ).
cnf(s817,plain,
( ~ spl0_41
| spl0_113 ),
inference(sat_conversion,[],[f11753]) ).
cnf(s818,plain,
( ~ spl0_1
| ~ spl0_10
| ~ spl0_12 ),
inference(sat_conversion,[],[f11768]) ).
cnf(s820,plain,
( spl0_54
| ~ spl0_159
| spl0_242 ),
inference(sat_conversion,[],[f11779]) ).
cnf(s822,plain,
( spl0_54
| ~ spl0_189
| spl0_244 ),
inference(sat_conversion,[],[f11787]) ).
cnf(s824,plain,
( ~ spl0_1
| spl0_44
| ~ spl0_49 ),
inference(sat_conversion,[],[f11790]) ).
cnf(s829,plain,
( ~ spl0_74
| ~ spl0_143 ),
inference(sat_conversion,[],[f11832]) ).
cnf(s830,plain,
( ~ spl0_1
| ~ spl0_201
| ~ spl0_242 ),
inference(sat_conversion,[],[f11838]) ).
cnf(s832,plain,
( spl0_201
| spl0_204 ),
inference(sat_conversion,[],[f11843]) ).
cnf(s834,plain,
( ~ spl0_1
| ~ spl0_211
| ~ spl0_244 ),
inference(sat_conversion,[],[f11890]) ).
cnf(s842,plain,
( ~ spl0_126
| ~ spl0_143
| spl0_191
| ~ spl0_211 ),
inference(sat_conversion,[],[f11968]) ).
cnf(s864,plain,
( spl0_184
| spl0_219
| spl0_249 ),
inference(sat_conversion,[],[f12221]) ).
cnf(s876,plain,
( ~ spl0_109
| ~ spl0_163
| spl0_193
| spl0_251 ),
inference(sat_conversion,[],[f12377]) ).
cnf(s877,plain,
( ~ spl0_3
| ~ spl0_163
| spl0_191
| spl0_253 ),
inference(sat_conversion,[],[f12381]) ).
cnf(s878,plain,
( ~ spl0_22
| spl0_162
| ~ spl0_166
| spl0_254 ),
inference(sat_conversion,[],[f12435]) ).
cnf(s883,plain,
( ~ spl0_10
| ~ spl0_180
| ~ spl0_211 ),
inference(sat_conversion,[],[f12473]) ).
cnf(s890,plain,
( ~ spl0_109
| ~ spl0_185
| spl0_256
| spl0_257 ),
inference(sat_conversion,[],[f12578]) ).
cnf(s891,plain,
( ~ spl0_39
| spl0_180
| ~ spl0_185
| spl0_255 ),
inference(sat_conversion,[],[f12579]) ).
cnf(s893,plain,
( ~ spl0_22
| spl0_162
| ~ spl0_177
| spl0_227 ),
inference(sat_conversion,[],[f12632]) ).
cnf(s903,plain,
( spl0_99
| spl0_265 ),
inference(sat_conversion,[],[f12813]) ).
cnf(s939,plain,
~ spl0_160,
inference(sat_conversion,[],[f13146]) ).
cnf(s948,plain,
( ~ spl0_155
| spl0_220
| spl0_268 ),
inference(sat_conversion,[],[f13520]) ).
cnf(s949,plain,
( ~ spl0_22
| spl0_150
| ~ spl0_268 ),
inference(sat_conversion,[],[f13538]) ).
cnf(s952,plain,
( ~ spl0_149
| spl0_246
| spl0_269 ),
inference(sat_conversion,[],[f13627]) ).
cnf(s953,plain,
( ~ spl0_61
| spl0_219
| spl0_227
| spl0_234
| spl0_244 ),
inference(sat_conversion,[],[f13629]) ).
cnf(s968,plain,
~ spl0_161,
inference(sat_conversion,[],[f13843]) ).
cnf(s969,plain,
( ~ spl0_149
| spl0_220
| spl0_270 ),
inference(sat_conversion,[],[f13847]) ).
cnf(s985,plain,
~ spl0_219,
inference(sat_conversion,[],[f14046]) ).
cnf(s988,plain,
( spl0_38
| ~ spl0_52
| spl0_61 ),
inference(sat_conversion,[],[f14127]) ).
cnf(s996,plain,
( ~ spl0_95
| spl0_184
| spl0_219
| spl0_227
| spl0_234 ),
inference(sat_conversion,[],[f14344]) ).
cnf(s997,plain,
( ~ spl0_95
| spl0_150
| spl0_160
| spl0_161
| spl0_226 ),
inference(sat_conversion,[],[f14345]) ).
cnf(s1025,plain,
( spl0_114
| spl0_274
| spl0_275 ),
inference(sat_conversion,[],[f15123]) ).
cnf(s1035,plain,
( ~ spl0_140
| ~ spl0_143
| ~ spl0_274 ),
inference(sat_conversion,[],[f15227]) ).
cnf(s1036,plain,
( ~ spl0_201
| ~ spl0_211
| ~ spl0_274 ),
inference(sat_conversion,[],[f15229]) ).
cnf(s1053,plain,
( spl0_12
| ~ spl0_22
| ~ spl0_237 ),
inference(sat_conversion,[],[f15341]) ).
cnf(s1064,plain,
( ~ spl0_113
| ~ spl0_211
| ~ spl0_227 ),
inference(sat_conversion,[],[f15402]) ).
cnf(s1069,plain,
( ~ spl0_32
| spl0_211
| spl0_219
| spl0_244 ),
inference(sat_conversion,[],[f15408]) ).
cnf(s1084,plain,
~ spl0_234,
inference(sat_conversion,[],[f15593]) ).
cnf(s1087,plain,
( ~ spl0_113
| ~ spl0_201
| ~ spl0_226 ),
inference(sat_conversion,[],[f15609]) ).
cnf(s1099,plain,
( spl0_114
| spl0_286
| spl0_287 ),
inference(sat_conversion,[],[f15759]) ).
cnf(s1100,plain,
( ~ spl0_146
| ~ spl0_198
| ~ spl0_203 ),
inference(sat_conversion,[],[f15765]) ).
cnf(s1108,plain,
( ~ spl0_4
| spl0_198
| spl0_242 ),
inference(sat_conversion,[],[f15776]) ).
cnf(s1119,plain,
( ~ spl0_113
| ~ spl0_203
| ~ spl0_220 ),
inference(sat_conversion,[],[f15830]) ).
cnf(s1120,plain,
( ~ spl0_10
| ~ spl0_152
| ~ spl0_201 ),
inference(sat_conversion,[],[f15879]) ).
cnf(s1124,plain,
( ~ spl0_8
| ~ spl0_14
| ~ spl0_191
| spl0_203 ),
inference(sat_conversion,[],[f15887]) ).
cnf(s1125,plain,
( ~ spl0_39
| spl0_152
| ~ spl0_269 ),
inference(sat_conversion,[],[f15914]) ).
cnf(s1126,plain,
( spl0_114
| spl0_241
| spl0_288
| spl0_289 ),
inference(sat_conversion,[],[f15918]) ).
cnf(s1133,plain,
( ~ spl0_109
| spl0_242
| ~ spl0_251 ),
inference(sat_conversion,[],[f16063]) ).
cnf(s1136,plain,
( ~ spl0_8
| ~ spl0_143
| spl0_211
| ~ spl0_246 ),
inference(sat_conversion,[],[f16108]) ).
cnf(s1144,plain,
( ~ spl0_187
| ~ spl0_188
| ~ spl0_270
| ~ spl0_287 ),
inference(sat_conversion,[],[f16177]) ).
cnf(s1154,plain,
( ~ spl0_145
| ~ spl0_220
| ~ spl0_227 ),
inference(sat_conversion,[],[f16227]) ).
cnf(s1158,plain,
( ~ spl0_142
| ~ spl0_200
| ~ spl0_286
| spl0_300
| ~ spl0_301 ),
inference(sat_conversion,[],[f16291]) ).
cnf(s1163,plain,
( ~ spl0_146
| ~ spl0_200
| spl0_301 ),
inference(sat_conversion,[],[f16318]) ).
cnf(s1175,plain,
( spl0_109
| spl0_241 ),
inference(sat_conversion,[],[f16365]) ).
cnf(s1179,plain,
( spl0_109
| spl0_114
| spl0_241 ),
inference(sat_conversion,[],[f16375]) ).
cnf(s1181,plain,
( spl0_9
| ~ spl0_113
| ~ spl0_206
| ~ spl0_220 ),
inference(sat_conversion,[],[f16402]) ).
cnf(s1184,plain,
( spl0_9
| spl0_203
| ~ spl0_206 ),
inference(sat_conversion,[],[f16408]) ).
cnf(s1186,plain,
( spl0_17
| ~ spl0_206
| spl0_220 ),
inference(sat_conversion,[],[f16410]) ).
cnf(s1220,plain,
( ~ spl0_126
| ~ spl0_146
| spl0_191
| ~ spl0_201 ),
inference(sat_conversion,[],[f16667]) ).
cnf(s1231,plain,
( ~ spl0_143
| ~ spl0_180
| ~ spl0_220 ),
inference(sat_conversion,[],[f16683]) ).
cnf(s1236,plain,
( ~ spl0_126
| ~ spl0_140
| ~ spl0_201 ),
inference(sat_conversion,[],[f16728]) ).
cnf(s1237,plain,
( ~ spl0_1
| ~ spl0_8
| spl0_53
| ~ spl0_126 ),
inference(sat_conversion,[],[f16729]) ).
cnf(s1242,plain,
( ~ spl0_8
| spl0_150
| spl0_201 ),
inference(sat_conversion,[],[f16743]) ).
cnf(s1246,plain,
( ~ spl0_52
| spl0_152
| ~ spl0_275
| spl0_303 ),
inference(sat_conversion,[],[f16748]) ).
cnf(s1247,plain,
( spl0_87
| spl0_252 ),
inference(sat_conversion,[],[f16749]) ).
cnf(s1251,plain,
( ~ spl0_55
| spl0_150
| spl0_201 ),
inference(sat_conversion,[],[f16753]) ).
cnf(s1254,plain,
( ~ spl0_1
| ~ spl0_126
| ~ spl0_150 ),
inference(sat_conversion,[],[f16775]) ).
cnf(s1257,plain,
( spl0_158
| spl0_242 ),
inference(sat_conversion,[],[f16785]) ).
cnf(s1263,plain,
( ~ spl0_1
| ~ spl0_162
| ~ spl0_203 ),
inference(sat_conversion,[],[f16888]) ).
cnf(s1267,plain,
( ~ spl0_124
| ~ spl0_204
| spl0_211
| ~ spl0_275 ),
inference(sat_conversion,[],[f16917]) ).
cnf(s1272,plain,
( ~ spl0_150
| ~ spl0_244
| ~ spl0_286 ),
inference(sat_conversion,[],[f17002]) ).
cnf(s1273,plain,
( ~ spl0_152
| ~ spl0_227
| ~ spl0_286 ),
inference(sat_conversion,[],[f17005]) ).
cnf(s1280,plain,
( ~ spl0_146
| ~ spl0_200
| ~ spl0_252
| ~ spl0_255 ),
inference(sat_conversion,[],[f17061]) ).
cnf(s1281,plain,
( ~ spl0_39
| spl0_246
| ~ spl0_255 ),
inference(sat_conversion,[],[f17062]) ).
cnf(s1295,plain,
( ~ spl0_140
| ~ spl0_145
| ~ spl0_286 ),
inference(sat_conversion,[],[f17161]) ).
cnf(s1299,plain,
( ~ spl0_226
| ~ spl0_227
| ~ spl0_274 ),
inference(sat_conversion,[],[f17167]) ).
cnf(s1303,plain,
( ~ spl0_1
| ~ spl0_111
| ~ spl0_241 ),
inference(sat_conversion,[],[f17182]) ).
cnf(s1320,plain,
( ~ spl0_8
| spl0_211
| ~ spl0_242
| ~ spl0_274 ),
inference(sat_conversion,[],[f17313]) ).
cnf(s1338,plain,
( ~ spl0_52
| ~ spl0_141
| spl0_152
| spl0_308 ),
inference(sat_conversion,[],[f17466]) ).
cnf(s1341,plain,
( ~ spl0_204
| spl0_211
| spl0_213
| ~ spl0_275 ),
inference(sat_conversion,[],[f17519]) ).
cnf(s1350,plain,
( ~ spl0_8
| ~ spl0_12
| ~ spl0_152
| spl0_201 ),
inference(sat_conversion,[],[f17558]) ).
cnf(s1351,plain,
( spl0_9
| spl0_201
| ~ spl0_213 ),
inference(sat_conversion,[],[f17559]) ).
cnf(s1357,plain,
( spl0_1
| ~ spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f17617]) ).
cnf(s1369,plain,
( ~ spl0_52
| spl0_180
| spl0_270
| ~ spl0_287 ),
inference(sat_conversion,[],[f17703]) ).
cnf(s1374,plain,
( ~ spl0_52
| ~ spl0_142
| spl0_167
| spl0_303 ),
inference(sat_conversion,[],[f17754]) ).
cnf(s1380,plain,
( ~ spl0_14
| ~ spl0_126
| spl0_194
| ~ spl0_244 ),
inference(sat_conversion,[],[f17816]) ).
cnf(s1382,plain,
( ~ spl0_126
| ~ spl0_140
| spl0_198
| ~ spl0_203 ),
inference(sat_conversion,[],[f17820]) ).
cnf(s1385,plain,
( spl0_1
| spl0_14
| ~ spl0_126 ),
inference(sat_conversion,[],[f17823]) ).
cnf(s1388,plain,
( ~ spl0_8
| ~ spl0_28
| spl0_211
| ~ spl0_227 ),
inference(sat_conversion,[],[f17826]) ).
cnf(s1392,plain,
( ~ spl0_28
| ~ spl0_55
| spl0_211
| ~ spl0_227 ),
inference(sat_conversion,[],[f17833]) ).
cnf(s1412,plain,
( ~ spl0_8
| ~ spl0_145
| spl0_203
| ~ spl0_244 ),
inference(sat_conversion,[],[f17960]) ).
cnf(s1432,plain,
( ~ spl0_41
| ~ spl0_191
| ~ spl0_220 ),
inference(sat_conversion,[],[f18261]) ).
cnf(s1433,plain,
( ~ spl0_28
| ~ spl0_162
| ~ spl0_220 ),
inference(sat_conversion,[],[f18265]) ).
cnf(s1434,plain,
( ~ spl0_8
| ~ spl0_28
| ~ spl0_113
| ~ spl0_220 ),
inference(sat_conversion,[],[f18269]) ).
cnf(s1444,plain,
( ~ spl0_7
| spl0_14
| ~ spl0_54 ),
inference(sat_conversion,[],[f18292]) ).
cnf(s1445,plain,
( ~ spl0_8
| ~ spl0_14
| ~ spl0_194
| spl0_211 ),
inference(sat_conversion,[],[f18293]) ).
cnf(s1467,plain,
~ spl0_178,
inference(sat_conversion,[],[f18477]) ).
cnf(s1471,plain,
( ~ spl0_7
| spl0_41
| ~ spl0_95 ),
inference(sat_conversion,[],[f18508]) ).
cnf(s1472,plain,
( ~ spl0_158
| spl0_159
| spl0_244
| ~ spl0_275 ),
inference(sat_conversion,[],[f18510]) ).
cnf(s1476,plain,
( ~ spl0_14
| ~ spl0_211
| ~ spl0_244 ),
inference(sat_conversion,[],[f18537]) ).
cnf(s1479,plain,
( spl0_10
| ~ spl0_24
| ~ spl0_237 ),
inference(sat_conversion,[],[f18540]) ).
cnf(s1484,plain,
( ~ spl0_28
| ~ spl0_226
| ~ spl0_242 ),
inference(sat_conversion,[],[f18584]) ).
cnf(s1485,plain,
( ~ spl0_8
| spl0_10
| ~ spl0_226
| ~ spl0_242 ),
inference(sat_conversion,[],[f18587]) ).
cnf(s1488,plain,
( ~ spl0_34
| ~ spl0_193 ),
inference(sat_conversion,[],[f18666]) ).
cnf(s1497,plain,
( ~ spl0_34
| ~ spl0_146 ),
inference(sat_conversion,[],[f18734]) ).
cnf(s1500,plain,
( spl0_171
| spl0_179
| spl0_220 ),
inference(sat_conversion,[],[f18759]) ).
cnf(s1506,plain,
( ~ spl0_8
| spl0_10
| ~ spl0_220
| ~ spl0_246 ),
inference(sat_conversion,[],[f18775]) ).
cnf(s1508,plain,
( ~ spl0_147
| spl0_162
| spl0_163 ),
inference(sat_conversion,[],[f18807]) ).
cnf(s1514,plain,
( ~ spl0_28
| ~ spl0_150
| ~ spl0_152 ),
inference(sat_conversion,[],[f18830]) ).
cnf(s1516,plain,
( ~ spl0_201
| ~ spl0_211
| ~ spl0_286 ),
inference(sat_conversion,[],[f18843]) ).
cnf(s1517,plain,
( ~ spl0_34
| ~ spl0_211
| ~ spl0_286 ),
inference(sat_conversion,[],[f18845]) ).
cnf(s1518,plain,
( ~ spl0_147
| spl0_169
| ~ spl0_170
| spl0_242 ),
inference(sat_conversion,[],[f18846]) ).
cnf(s1524,plain,
( ~ spl0_3
| spl0_242
| ~ spl0_253 ),
inference(sat_conversion,[],[f18914]) ).
cnf(s1525,plain,
( ~ spl0_34
| ~ spl0_140 ),
inference(sat_conversion,[],[f18928]) ).
cnf(s1533,plain,
( spl0_156
| spl0_226 ),
inference(sat_conversion,[],[f18970]) ).
cnf(s1535,plain,
( spl0_114
| spl0_156
| spl0_226 ),
inference(sat_conversion,[],[f18972]) ).
cnf(s1540,plain,
( ~ spl0_28
| ~ spl0_227
| ~ spl0_244 ),
inference(sat_conversion,[],[f18999]) ).
cnf(s1541,plain,
( ~ spl0_8
| spl0_10
| ~ spl0_227
| ~ spl0_244 ),
inference(sat_conversion,[],[f19002]) ).
cnf(s1546,plain,
( ~ spl0_15
| spl0_31
| spl0_32 ),
inference(sat_conversion,[],[f19101]) ).
cnf(s1549,plain,
( ~ spl0_141
| ~ spl0_156
| spl0_157
| spl0_220 ),
inference(sat_conversion,[],[f19167]) ).
cnf(s1554,plain,
( ~ spl0_41
| ~ spl0_152
| ~ spl0_198 ),
inference(sat_conversion,[],[f19188]) ).
cnf(s1556,plain,
( ~ spl0_33
| spl0_150
| spl0_160
| spl0_198 ),
inference(sat_conversion,[],[f19192]) ).
cnf(s1563,plain,
( spl0_186
| ~ spl0_187
| spl0_226
| ~ spl0_287 ),
inference(sat_conversion,[],[f19239]) ).
cnf(s1568,plain,
( ~ spl0_41
| ~ spl0_167
| ~ spl0_191 ),
inference(sat_conversion,[],[f19293]) ).
cnf(s1573,plain,
( ~ spl0_34
| ~ spl0_143 ),
inference(sat_conversion,[],[f19335]) ).
cnf(s1592,plain,
( ~ spl0_12
| ~ spl0_152
| ~ spl0_242 ),
inference(sat_conversion,[],[f19503]) ).
cnf(s1594,plain,
( ~ spl0_141
| spl0_203
| ~ spl0_204
| spl0_213 ),
inference(sat_conversion,[],[f19505]) ).
cnf(s1598,plain,
( ~ spl0_141
| spl0_152
| spl0_155 ),
inference(sat_conversion,[],[f19509]) ).
cnf(s1600,plain,
( ~ spl0_124
| ~ spl0_141
| spl0_203
| ~ spl0_204 ),
inference(sat_conversion,[],[f19511]) ).
cnf(s1601,plain,
( ~ spl0_36
| ~ spl0_141
| ~ spl0_157
| spl0_191 ),
inference(sat_conversion,[],[f19512]) ).
cnf(s1605,plain,
( ~ spl0_147
| spl0_201
| spl0_206
| ~ spl0_207 ),
inference(sat_conversion,[],[f19516]) ).
cnf(s1608,plain,
( ~ spl0_141
| ~ spl0_158
| spl0_159
| spl0_246 ),
inference(sat_conversion,[],[f19522]) ).
cnf(s1609,plain,
( ~ spl0_157
| spl0_201
| spl0_321 ),
inference(sat_conversion,[],[f19526]) ).
cnf(s1614,plain,
( ~ spl0_141
| spl0_152
| ~ spl0_157
| spl0_161 ),
inference(sat_conversion,[],[f19591]) ).
cnf(s1617,plain,
( ~ spl0_147
| ~ spl0_170
| ~ spl0_269 ),
inference(sat_conversion,[],[f19629]) ).
cnf(s1618,plain,
( ~ spl0_147
| ~ spl0_171
| ~ spl0_268 ),
inference(sat_conversion,[],[f19666]) ).
cnf(s1620,plain,
( ~ spl0_140
| ~ spl0_162
| ~ spl0_242 ),
inference(sat_conversion,[],[f19677]) ).
cnf(s1622,plain,
( spl0_35
| ~ spl0_321 ),
inference(sat_conversion,[],[f19719]) ).
cnf(s1624,plain,
( ~ spl0_184
| ~ spl0_242
| ~ spl0_274 ),
inference(sat_conversion,[],[f19729]) ).
cnf(s1628,plain,
( ~ spl0_242
| ~ spl0_244
| ~ spl0_274 ),
inference(sat_conversion,[],[f19740]) ).
cnf(s1631,plain,
( ~ spl0_140
| ~ spl0_242
| ~ spl0_246 ),
inference(sat_conversion,[],[f19752]) ).
cnf(s1632,plain,
( ~ spl0_145
| ~ spl0_203
| ~ spl0_211 ),
inference(sat_conversion,[],[f19760]) ).
cnf(s1635,plain,
( spl0_188
| spl0_219
| spl0_244 ),
inference(sat_conversion,[],[f19773]) ).
cnf(s1645,plain,
( ~ spl0_140
| ~ spl0_191
| ~ spl0_198 ),
inference(sat_conversion,[],[f19841]) ).
cnf(s1646,plain,
( ~ spl0_140
| ~ spl0_150
| ~ spl0_162 ),
inference(sat_conversion,[],[f19851]) ).
cnf(s1650,plain,
( ~ spl0_8
| ~ spl0_140
| spl0_203
| ~ spl0_242 ),
inference(sat_conversion,[],[f19859]) ).
cnf(s1660,plain,
( ~ spl0_156
| spl0_157
| spl0_227
| ~ spl0_275 ),
inference(sat_conversion,[],[f19993]) ).
cnf(s1668,plain,
( ~ spl0_143
| ~ spl0_203
| ~ spl0_211 ),
inference(sat_conversion,[],[f20045]) ).
cnf(s1671,plain,
( ~ spl0_8
| ~ spl0_140
| ~ spl0_150
| spl0_203 ),
inference(sat_conversion,[],[f20048]) ).
cnf(s1673,plain,
( ~ spl0_8
| ~ spl0_146
| spl0_201
| ~ spl0_246 ),
inference(sat_conversion,[],[f20050]) ).
cnf(s1688,plain,
( spl0_152
| ~ spl0_157
| ~ spl0_275 ),
inference(sat_conversion,[],[f20219]) ).
cnf(s1703,plain,
( ~ spl0_124
| spl0_201
| ~ spl0_210
| ~ spl0_287 ),
inference(sat_conversion,[],[f20241]) ).
cnf(s1704,plain,
( ~ spl0_7
| spl0_12
| ~ spl0_321 ),
inference(sat_conversion,[],[f20242]) ).
cnf(s1706,plain,
( ~ spl0_157
| spl0_226
| spl0_237 ),
inference(sat_conversion,[],[f20244]) ).
cnf(s1708,plain,
( spl0_158
| spl0_160
| spl0_242 ),
inference(sat_conversion,[],[f20274]) ).
cnf(s1713,plain,
( ~ spl0_10
| ~ spl0_87
| ~ spl0_99 ),
inference(sat_conversion,[],[f20337]) ).
cnf(s1724,plain,
( ~ spl0_145
| ~ spl0_146
| ~ spl0_286 ),
inference(sat_conversion,[],[f20475]) ).
cnf(s1726,plain,
( ~ spl0_1
| ~ spl0_203
| ~ spl0_246 ),
inference(sat_conversion,[],[f20482]) ).
cnf(s1727,plain,
( ~ spl0_141
| spl0_149
| spl0_150 ),
inference(sat_conversion,[],[f20483]) ).
cnf(s1731,plain,
( ~ spl0_141
| spl0_162
| ~ spl0_254 ),
inference(sat_conversion,[],[f20556]) ).
cnf(s1733,plain,
( ~ spl0_10
| ~ spl0_167
| ~ spl0_203 ),
inference(sat_conversion,[],[f20562]) ).
cnf(s1736,plain,
( spl0_10
| spl0_18
| ~ spl0_127 ),
inference(sat_conversion,[],[f20569]) ).
cnf(s1737,plain,
( spl0_10
| spl0_35
| ~ spl0_127 ),
inference(sat_conversion,[],[f20570]) ).
cnf(s1738,plain,
( spl0_22
| spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f20577]) ).
cnf(s1745,plain,
( spl0_8
| ~ spl0_289 ),
inference(sat_conversion,[],[f20625]) ).
cnf(s1748,plain,
( spl0_187
| spl0_227
| spl0_234 ),
inference(sat_conversion,[],[f20641]) ).
cnf(s1752,plain,
( ~ spl0_111
| ~ spl0_211
| ~ spl0_256 ),
inference(sat_conversion,[],[f20675]) ).
cnf(s1764,plain,
( ~ spl0_142
| spl0_231
| spl0_300
| ~ spl0_301 ),
inference(sat_conversion,[],[f20790]) ).
cnf(s1766,plain,
( ~ spl0_142
| spl0_167
| spl0_177 ),
inference(sat_conversion,[],[f20792]) ).
cnf(s1781,plain,
( ~ spl0_221
| ~ spl0_256
| ~ spl0_274 ),
inference(sat_conversion,[],[f20908]) ).
cnf(s1784,plain,
( ~ spl0_188
| spl0_189
| spl0_242
| ~ spl0_287 ),
inference(sat_conversion,[],[f20912]) ).
cnf(s1785,plain,
( ~ spl0_14
| ~ spl0_99
| ~ spl0_241 ),
inference(sat_conversion,[],[f20952]) ).
cnf(s1787,plain,
( spl0_55
| ~ spl0_169
| spl0_203 ),
inference(sat_conversion,[],[f21001]) ).
cnf(s1789,plain,
( spl0_95
| ~ spl0_169
| spl0_220 ),
inference(sat_conversion,[],[f21003]) ).
cnf(s1790,plain,
( spl0_54
| ~ spl0_169
| spl0_246 ),
inference(sat_conversion,[],[f21005]) ).
cnf(s1800,plain,
( ~ spl0_189
| spl0_224
| ~ spl0_287 ),
inference(sat_conversion,[],[f21085]) ).
cnf(s1801,plain,
( ~ spl0_224
| ~ spl0_249
| ~ spl0_287 ),
inference(sat_conversion,[],[f21120]) ).
cnf(s1803,plain,
( ~ spl0_144
| spl0_184
| spl0_185 ),
inference(sat_conversion,[],[f21195]) ).
cnf(s1804,plain,
( ~ spl0_144
| ~ spl0_189
| spl0_232 ),
inference(sat_conversion,[],[f21196]) ).
cnf(s1805,plain,
( ~ spl0_144
| ~ spl0_238
| spl0_256
| spl0_306 ),
inference(sat_conversion,[],[f21198]) ).
cnf(s1810,plain,
( ~ spl0_1
| ~ spl0_120
| ~ spl0_246
| ~ spl0_257 ),
inference(sat_conversion,[],[f21223]) ).
cnf(s1816,plain,
( ~ spl0_142
| spl0_256
| ~ spl0_257 ),
inference(sat_conversion,[],[f21251]) ).
cnf(s1822,plain,
( ~ spl0_1
| ~ spl0_146
| ~ spl0_200
| ~ spl0_241
| ~ spl0_265
| ~ spl0_300 ),
inference(sat_conversion,[],[f21496]) ).
cnf(s1823,plain,
( ~ spl0_142
| ~ spl0_171
| spl0_172
| spl0_227 ),
inference(sat_conversion,[],[f21497]) ).
cnf(s1824,plain,
( ~ spl0_36
| ~ spl0_39
| spl0_87
| ~ spl0_288 ),
inference(sat_conversion,[],[f21498]) ).
cnf(s1834,plain,
( ~ spl0_1
| ~ spl0_126
| spl0_191
| ~ spl0_246 ),
inference(sat_conversion,[],[f21524]) ).
cnf(s1835,plain,
( ~ spl0_126
| spl0_198
| ~ spl0_211
| ~ spl0_274 ),
inference(sat_conversion,[],[f21526]) ).
cnf(s1837,plain,
( ~ spl0_142
| spl0_206
| ~ spl0_207
| spl0_211 ),
inference(sat_conversion,[],[f21528]) ).
cnf(s1838,plain,
( ~ spl0_142
| spl0_169
| ~ spl0_170
| spl0_244 ),
inference(sat_conversion,[],[f21529]) ).
cnf(s1839,plain,
( ~ spl0_144
| ~ spl0_188
| spl0_189
| spl0_246 ),
inference(sat_conversion,[],[f21530]) ).
cnf(s1846,plain,
( ~ spl0_144
| ~ spl0_232
| ~ spl0_249 ),
inference(sat_conversion,[],[f21710]) ).
cnf(s1874,plain,
~ spl0_179,
inference(sat_conversion,[],[f21914]) ).
cnf(s1876,plain,
( ~ spl0_87
| ~ spl0_227
| ~ spl0_231 ),
inference(sat_conversion,[],[f21958]) ).
cnf(s1880,plain,
( spl0_114
| spl0_223
| spl0_301 ),
inference(sat_conversion,[],[f21985]) ).
cnf(s1882,plain,
( ~ spl0_111
| ~ spl0_203
| ~ spl0_223 ),
inference(sat_conversion,[],[f21993]) ).
cnf(s1883,plain,
( ~ spl0_146
| ~ spl0_192
| ~ spl0_221
| spl0_241
| ~ spl0_300 ),
inference(sat_conversion,[],[f22073]) ).
cnf(s1884,plain,
( spl0_223
| ~ spl0_300
| spl0_329 ),
inference(sat_conversion,[],[f22077]) ).
cnf(s1885,plain,
( ~ spl0_192
| spl0_241
| ~ spl0_329 ),
inference(sat_conversion,[],[f22095]) ).
cnf(s1890,plain,
( ~ spl0_144
| ~ spl0_210
| ~ spl0_292
| ~ spl0_306 ),
inference(sat_conversion,[],[f22141]) ).
cnf(s1893,plain,
( ~ spl0_142
| ~ spl0_170
| ~ spl0_171
| ~ spl0_303 ),
inference(sat_conversion,[],[f22207]) ).
cnf(s1898,plain,
( spl0_160
| spl0_231
| spl0_292 ),
inference(sat_conversion,[],[f22213]) ).
cnf(s1903,plain,
( ~ spl0_156
| ~ spl0_158
| ~ spl0_275
| ~ spl0_303 ),
inference(sat_conversion,[],[f22261]) ).
cnf(s1910,plain,
( spl0_170
| spl0_178
| spl0_246 ),
inference(sat_conversion,[],[f22277]) ).
cnf(s1921,plain,
( ~ spl0_147
| spl0_166
| spl0_167 ),
inference(sat_conversion,[],[f22368]) ).
cnf(s1923,plain,
( ~ spl0_147
| ~ spl0_171
| spl0_172
| spl0_226 ),
inference(sat_conversion,[],[f22370]) ).
cnf(s1929,plain,
( ~ spl0_39
| ~ spl0_147
| spl0_150
| ~ spl0_172 ),
inference(sat_conversion,[],[f22508]) ).
cnf(s1936,plain,
( ~ spl0_141
| ~ spl0_156
| ~ spl0_158
| ~ spl0_308 ),
inference(sat_conversion,[],[f22679]) ).
cnf(s1938,plain,
( spl0_171
| spl0_220 ),
inference(rat,[],[s1500,s1874]) ).
cnf(s1950,plain,
( ~ spl0_95
| spl0_184
| spl0_219
| spl0_227 ),
inference(rat,[],[s996,s1084]) ).
cnf(s1952,plain,
( ~ spl0_61
| spl0_227
| spl0_244 ),
inference(rat,[],[s953,s1084,s985]) ).
cnf(s1958,plain,
( spl0_184
| spl0_249 ),
inference(rat,[],[s864,s985]) ).
cnf(s1970,plain,
( spl0_10
| ~ spl0_127
| ~ spl0_143
| spl0_203
| ~ spl0_227 ),
inference(rat,[],[s772,s939]) ).
cnf(s1986,plain,
( spl0_10
| ~ spl0_127
| spl0_211
| spl0_227 ),
inference(rat,[],[s745,s1467]) ).
cnf(s1989,plain,
( ~ spl0_141
| spl0_150
| ~ spl0_159 ),
inference(rat,[],[s645,s939]) ).
cnf(s2012,plain,
( ~ spl0_6
| spl0_25
| spl0_28 ),
inference(rat,[],[s117,s127]) ).
cnf(s2013,plain,
( spl0_12
| spl0_28
| ~ spl0_54 ),
inference(rat,[],[s114,s127]) ).
cnf(s2025,plain,
( spl0_12
| spl0_39 ),
inference(rat,[],[s33,s127]) ).
cnf(s2027,plain,
( spl0_10
| spl0_9
| ~ spl0_8
| ~ spl0_14
| ~ spl0_7 ),
inference(rat,[],[s876,s1133,s1508,s1484,s1433,s786,s1789,s587,s623,s563,s562,s564,s1488,s1497,s1525,s1573,s475,s576,s603,s30,s42,s1471,s13,s37,s72,s7,s558,s462]) ).
cnf(s2028,plain,
( ~ spl0_28
| ~ spl0_18
| ~ spl0_10
| ~ spl0_8 ),
inference(rat,[],[s1242,s1514,s1120,s1598,s948,s1618,s563,s562,s1497,s1525,s1938,s30,s1434,s816,s558]) ).
cnf(s2029,plain,
( spl0_220
| ~ spl0_34
| spl0_237
| ~ spl0_113
| spl0_9 ),
inference(rat,[],[s1341,s1025,s1351,s832,s1064,s1299,s1087,s1823,s1923,s792,s1938,s564,s1573,s563,s1497,s462,s558]) ).
cnf(s2030,plain,
( ~ spl0_34
| spl0_237
| ~ spl0_113
| spl0_9 ),
inference(rat,[],[s1563,s797,s1748,s1099,s1087,s1064,s1517,s1605,s1837,s715,s1119,s1181,s2029,s563,s564,s1497,s1573,s1084,s462,s558]) ).
cnf(s2031,plain,
( ~ spl0_227
| spl0_213
| ~ spl0_226
| ~ spl0_113 ),
inference(rat,[],[s1341,s1025,s1064,s1299,s832,s1087,s462]) ).
cnf(s2032,plain,
( spl0_220
| ~ spl0_147
| spl0_237
| ~ spl0_18
| ~ spl0_113
| spl0_9 ),
inference(rat,[],[s1605,s1184,s715,s1668,s564,s1823,s744,s2031,s1351,s1087,s1923,s792,s1938,s558]) ).
cnf(s2033,plain,
( ~ spl0_211
| spl0_157
| ~ spl0_201
| ~ spl0_113 ),
inference(rat,[],[s1025,s1660,s1036,s1064,s1533,s1087,s462]) ).
cnf(s2034,plain,
( ~ spl0_147
| spl0_237
| spl0_9
| ~ spl0_18
| ~ spl0_113 ),
inference(rat,[],[s564,s766,s1837,s744,s2033,s1706,s1087,s1605,s715,s1119,s1181,s2032,s558]) ).
cnf(s2035,plain,
( ~ spl0_142
| spl0_169
| ~ spl0_170
| spl0_172
| ~ spl0_171
| ~ spl0_52
| ~ spl0_10
| ~ spl0_8
| ~ spl0_14 ),
inference(rat,[],[s486,s688,s1380,s1733,s1445,s1374,s1064,s1838,s1893,s1823,s816]) ).
cnf(s2036,plain,
( spl0_211
| ~ spl0_143
| spl0_157
| spl0_213
| ~ spl0_204
| spl0_220
| ~ spl0_18
| ~ spl0_113 ),
inference(rat,[],[s562,s1549,s1035,s1533,s1025,s2031,s1341,s744,s558,s462]) ).
cnf(s2037,plain,
( spl0_201
| spl0_220
| ~ spl0_18
| spl0_321
| ~ spl0_10
| spl0_9
| ~ spl0_8
| ~ spl0_14 ),
inference(rat,[],[s562,s1594,s1671,s1668,s2036,s564,s2035,s1790,s1910,s1673,s1609,s1351,s1242,s832,s2013,s64,s563,s2034,s816,s1938,s792,s1053,s1738,s2028,s11,s558,s1467,s127]) ).
cnf(s2038,plain,
( spl0_220
| ~ spl0_18
| spl0_321
| ~ spl0_10
| spl0_9
| ~ spl0_8
| ~ spl0_14 ),
inference(rat,[],[s688,s564,s486,s758,s729,s1236,s744,s562,s2033,s1549,s1706,s1533,s1087,s2037,s563,s2034,s1053,s1738,s2028,s11,s816,s558,s127]) ).
cnf(s2039,plain,
( spl0_201
| spl0_203
| spl0_9
| ~ spl0_8 ),
inference(rat,[],[s562,s1594,s1671,s1351,s1242,s832,s558]) ).
cnf(s2040,plain,
( ~ spl0_18
| spl0_321
| ~ spl0_10
| spl0_9
| ~ spl0_8
| ~ spl0_14 ),
inference(rat,[],[s1154,s565,s744,s687,s2033,s486,s1706,s1220,s1087,s2039,s1124,s1119,s2038,s563,s2034,s1053,s1738,s2028,s816,s11,s558,s127]) ).
cnf(s2041,plain,
( ~ spl0_28
| ~ spl0_150
| spl0_201
| spl0_59
| ~ spl0_14 ),
inference(rat,[],[s280,s38,s716,s242]) ).
cnf(s2042,plain,
( ~ spl0_143
| spl0_159
| ~ spl0_274
| spl0_211
| ~ spl0_8 ),
inference(rat,[],[s562,s1608,s1035,s1136,s1257,s1320,s558]) ).
cnf(s2043,plain,
( ~ spl0_142
| spl0_172
| ~ spl0_52
| spl0_167
| spl0_213
| spl0_201
| ~ spl0_171
| ~ spl0_113
| ~ spl0_8 ),
inference(rat,[],[s1673,s563,s1910,s1923,s1893,s2031,s1374,s1823,s558,s1467]) ).
cnf(s2044,plain,
( spl0_201
| spl0_220
| spl0_59
| ~ spl0_10
| spl0_9
| ~ spl0_8
| ~ spl0_14 ),
inference(rat,[],[s820,s2042,s1320,s1025,s1341,s1668,s564,s2043,s792,s1053,s64,s2013,s1738,s2041,s1733,s2039,s1351,s1242,s832,s816,s11,s1938,s462,s558,s127]) ).
cnf(s2045,plain,
( spl0_28
| ~ spl0_143
| spl0_226
| spl0_152
| ~ spl0_201
| spl0_220
| spl0_12
| ~ spl0_8 ),
inference(rat,[],[s1246,s1903,s1025,s1257,s1035,s1650,s729,s562,s1549,s1706,s1053,s64,s1738,s1533,s462,s558,s127]) ).
cnf(s2046,plain,
( ~ spl0_143
| spl0_211
| spl0_226
| spl0_152
| ~ spl0_201
| spl0_220
| spl0_12
| ~ spl0_8
| ~ spl0_14
| ~ spl0_7 ),
inference(rat,[],[s1660,s1688,s1025,s2042,s786,s1471,s1388,s242,s2045,s1533,s462]) ).
cnf(s2047,plain,
( ~ spl0_140
| ~ spl0_142
| spl0_211
| ~ spl0_201 ),
inference(rat,[],[s688,s486,s729,s1236]) ).
cnf(s2048,plain,
( ~ spl0_141
| ~ spl0_156
| spl0_152
| spl0_220 ),
inference(rat,[],[s1614,s1549,s968]) ).
cnf(s2049,plain,
( ~ spl0_143
| spl0_226
| spl0_152
| ~ spl0_201
| spl0_220
| spl0_12
| ~ spl0_8
| ~ spl0_14
| ~ spl0_7 ),
inference(rat,[],[s1472,s1025,s1476,s1035,s2046,s1257,s1650,s786,s997,s1671,s729,s562,s2048,s1533,s462,s968,s939,s558]) ).
cnf(s2050,plain,
( spl0_220
| spl0_9
| ~ spl0_8
| ~ spl0_14
| ~ spl0_7 ),
inference(rat,[],[s1025,s1472,s1036,s1476,s2047,s564,s2049,s786,s1257,s997,s1650,s1671,s729,s562,s2048,s1533,s1087,s1120,s2044,s816,s231,s28,s2040,s1704,s11,s2027,s462,s558,s939,s968]) ).
cnf(s2054,plain,
( ~ spl0_10
| ~ spl0_9
| ~ spl0_14
| ~ spl0_7 ),
inference(rat,[],[s266,s271,s254,s294,s32,s34,s157,s228,s235,s101]) ).
cnf(s2055,plain,
( spl0_8
| ~ spl0_14
| spl0_1 ),
inference(rat,[],[s216,s32,s142,s34,s2012,s289,s75,s78,s212,s2054,s235,s6,s3,s84,s4]) ).
cnf(s2056,plain,
( ~ spl0_144
| spl0_246
| spl0_194
| spl0_211
| spl0_54
| spl0_203
| ~ spl0_14 ),
inference(rat,[],[s1839,s822,s1635,s1380,s486,s687,s985]) ).
cnf(s2057,plain,
( ~ spl0_10
| ~ spl0_8
| ~ spl0_14
| ~ spl0_7 ),
inference(rat,[],[s820,s2042,s1320,s1025,s1660,s1154,s565,s2056,s1136,s564,s1837,s1445,s2033,s1706,s1533,s1087,s1053,s2039,s715,s2013,s1738,s1119,s1181,s1434,s2050,s2054,s11,s816,s462,s558,s127]) ).
cnf(s2058,plain,
( ~ spl0_8
| ~ spl0_14
| ~ spl0_7 ),
inference(rat,[],[s74,s2027,s359,s2057]) ).
cnf(s2059,plain,
( ~ spl0_14
| spl0_1 ),
inference(rat,[],[s2058,s2055,s4]) ).
cnf(s2060,plain,
( ~ spl0_220
| ~ spl0_201
| spl0_12
| ~ spl0_113
| spl0_1 ),
inference(rat,[],[s1412,s565,s1069,s687,s2033,s1706,s1546,s1053,s116,s1738,s1119,s1434,s10,s486,s1385,s3,s6,s70,s2059,s4,s1087,s558,s985,s127]) ).
cnf(s2061,plain,
( spl0_211
| spl0_203
| ~ spl0_140
| spl0_1 ),
inference(rat,[],[s1472,s1025,s1412,s1035,s565,s564,s687,s1837,s486,s1385,s715,s1184,s1257,s820,s1650,s3,s6,s70,s1444,s2059,s4,s462,s558]) ).
cnf(s2062,plain,
( ~ spl0_201
| spl0_12
| ~ spl0_10
| spl0_1 ),
inference(rat,[],[s1688,s1025,s2033,s1036,s2061,s729,s562,s2048,s2060,s1533,s1087,s1120,s816,s462,s558]) ).
cnf(s2063,plain,
( spl0_211
| spl0_220
| spl0_201
| spl0_12
| spl0_1 ),
inference(rat,[],[s877,s1508,s1645,s1646,s562,s1598,s948,s1514,s1618,s116,s563,s1546,s1100,s1069,s1524,s1108,s1272,s1320,s1099,s1025,s1703,s1341,s742,s10,s2,s1357,s162,s485,s803,s1385,s832,s1242,s1351,s2039,s3,s6,s70,s2059,s4,s1938,s558,s985,s462]) ).
cnf(s2064,plain,
( spl0_242
| spl0_162
| ~ spl0_140
| ~ spl0_203
| spl0_1 ),
inference(rat,[],[s1508,s877,s563,s1645,s1100,s1524,s1108,s2,s1357,s162,s2059,s558]) ).
cnf(s2065,plain,
( ~ spl0_156
| spl0_152
| ~ spl0_142
| spl0_227
| spl0_220
| ~ spl0_203
| spl0_157
| ~ spl0_150
| spl0_1 ),
inference(rat,[],[s1838,s1790,s1910,s1628,s1631,s2064,s1646,s1025,s562,s1660,s2048,s1444,s2059,s4,s1467,s462,s558]) ).
cnf(s2066,plain,
( spl0_12
| ~ spl0_10
| spl0_1 ),
inference(rat,[],[s2064,s1646,s562,s1598,s948,s1618,s563,s1100,s1108,s1484,s1535,s2065,s1514,s1738,s1053,s792,s1823,s564,s1668,s1064,s2063,s1938,s1119,s2039,s1609,s1242,s2062,s1704,s2,s1357,s162,s3,s6,s70,s2059,s4,s816,s558,s462,s127]) ).
cnf(s2067,plain,
( ~ spl0_156
| ~ spl0_177
| ~ spl0_142
| spl0_227
| spl0_220
| spl0_152
| spl0_201
| spl0_1 ),
inference(rat,[],[s1738,s716,s893,s1622,s1646,s1609,s562,s2065,s2048,s1242,s2039,s3,s6,s70,s2059,s4,s127,s558]) ).
cnf(s2068,plain,
( spl0_242
| spl0_220
| spl0_152
| ~ spl0_203
| ~ spl0_150
| spl0_1 ),
inference(rat,[],[s2064,s1646,s562,s1598,s948,s1618,s563,s1100,s1108,s2,s1357,s162,s2059,s1938,s558]) ).
cnf(s2069,plain,
( ~ spl0_211
| spl0_167
| spl0_152
| spl0_201
| ~ spl0_113
| spl0_1 ),
inference(rat,[],[s1618,s563,s948,s1673,s1598,s1910,s562,s1893,s1620,s1374,s893,s64,s1738,s1484,s1535,s2067,s1766,s564,s1668,s1064,s1938,s2068,s1119,s2039,s1242,s3,s6,s70,s2059,s4,s558,s1467,s127,s462]) ).
cnf(s2070,plain,
( spl0_201
| ~ spl0_10
| spl0_1 ),
inference(rat,[],[s1025,s1341,s1320,s2069,s2068,s1733,s1119,s1350,s2039,s1351,s1242,s832,s3,s6,s70,s2059,s4,s816,s2066,s462]) ).
cnf(s2071,plain,
( ~ spl0_211
| spl0_152
| ~ spl0_201
| ~ spl0_113 ),
inference(rat,[],[s1688,s1025,s2033,s1036,s462]) ).
cnf(s2072,plain,
( ~ spl0_140
| ~ spl0_10
| spl0_1 ),
inference(rat,[],[s2061,s729,s2071,s1120,s2070,s816]) ).
cnf(s2073,plain,
( ~ spl0_10
| spl0_1 ),
inference(rat,[],[s1025,s1320,s1660,s1708,s1154,s1936,s565,s1338,s687,s64,s1119,s1434,s2048,s1614,s562,s2072,s2071,s1533,s1087,s1120,s2070,s816,s486,s1385,s3,s6,s70,s2059,s4,s462,s939,s558,s968]) ).
cnf(s2074,plain,
( spl0_201
| spl0_1 ),
inference(rat,[],[s716,s1242,s37,s3,s6,s70,s4,s1737,s2073,s486,s1385,s2059]) ).
cnf(s2075,plain,
( ~ spl0_113
| spl0_220
| spl0_1 ),
inference(rat,[],[s1592,s1108,s34,s1554,s1929,s169,s1923,s1479,s1087,s2030,s2,s1357,s162,s2074,s1514,s1598,s948,s1618,s1938,s563,s1497,s562,s1525,s30,s1736,s486,s1385,s37,s2073,s3,s6,s70,s2059,s4,s558]) ).
cnf(s2076,plain,
( spl0_220
| spl0_1 ),
inference(rat,[],[s1025,s1299,s1472,s1257,s1541,s1485,s1823,s1923,s792,s1479,s169,s817,s2075,s1989,s1514,s1598,s948,s1618,s1938,s564,s1573,s562,s1525,s563,s1497,s30,s1736,s486,s1385,s37,s2073,s3,s6,s70,s2059,s4,s462,s558]) ).
cnf(s2077,plain,
spl0_1,
inference(rat,[],[s1660,s1706,s1533,s1025,s1479,s1485,s1628,s1540,s169,s1518,s1838,s817,s1790,s1910,s1434,s1506,s2076,s563,s564,s1497,s1573,s30,s1736,s37,s2073,s3,s6,s486,s70,s1385,s1444,s2059,s4,s462,s1467,s558]) ).
cnf(s2078,plain,
( ~ spl0_211
| spl0_169
| ~ spl0_203 ),
inference(rat,[],[s564,s1838,s1668,s834,s1910,s1726,s558,s2077,s1467]) ).
cnf(s2079,plain,
( ~ spl0_203
| ~ spl0_8
| spl0_201
| spl0_54 ),
inference(rat,[],[s564,s2042,s1838,s820,s1272,s1320,s1099,s1025,s1703,s1267,s742,s2078,s1790,s1910,s1726,s832,s485,s803,s1254,s1242,s558,s462,s1467,s2077]) ).
cnf(s2080,plain,
( ~ spl0_8
| spl0_201
| spl0_54 ),
inference(rat,[],[s562,s1671,s1600,s2079,s485,s803,s1254,s1242,s832,s558,s2077]) ).
cnf(s2081,plain,
( ~ spl0_142
| ~ spl0_170
| ~ spl0_171
| spl0_167
| ~ spl0_52 ),
inference(rat,[],[s1893,s1374]) ).
cnf(s2082,plain,
( ~ spl0_9
| ~ spl0_10 ),
inference(rat,[],[s2,s163,s36,s162,s230,s237,s235,s228,s287,s32,s34,s294,s288,s15,s20,s176,s818,s1738,s285,s2077,s127]) ).
cnf(s2083,plain,
( ~ spl0_203
| spl0_201
| ~ spl0_10 ),
inference(rat,[],[s1549,s1706,s1533,s2031,s1748,s1144,s969,s1727,s1254,s803,s485,s1703,s1099,s1724,s565,s1839,s822,s1635,s563,s1628,s1921,s1708,s878,s1608,s1731,s562,s1035,s1025,s1341,s742,s564,s2078,s2081,s1790,s1910,s1938,s1263,s1726,s1733,s1119,s816,s64,s1053,s1738,s285,s832,s673,s84,s2080,s288,s818,s1351,s2082,s1084,s2077,s462,s558,s985,s939,s1467,s127]) ).
cnf(s2085,plain,
( spl0_211
| ~ spl0_140
| spl0_206
| ~ spl0_207
| spl0_213
| ~ spl0_204 ),
inference(rat,[],[s1035,s564,s1025,s1837,s1341,s558,s462]) ).
cnf(s2092,plain,
( spl0_256
| ~ spl0_109
| ~ spl0_185
| ~ spl0_142 ),
inference(rat,[],[s890,s1816]) ).
cnf(s2093,plain,
( ~ spl0_126
| ~ spl0_274
| ~ spl0_246
| ~ spl0_211
| ~ spl0_140 ),
inference(rat,[],[s1645,s1834,s1835,s2077]) ).
cnf(s2094,plain,
( ~ spl0_111
| ~ spl0_185
| ~ spl0_142
| ~ spl0_211 ),
inference(rat,[],[s1175,s2092,s1303,s1752,s2077]) ).
cnf(s2095,plain,
( ~ spl0_142
| spl0_201
| ~ spl0_10 ),
inference(rat,[],[s903,s1822,s1713,s1179,s1247,s890,s1158,s1163,s1280,s1781,s1810,s661,s714,s533,s2094,s486,s2093,s891,s1803,s565,s1724,s1025,s1099,s1472,s1784,s1257,s1631,s1910,s1838,s34,s673,s1787,s84,s2080,s563,s1605,s740,s883,s1635,s822,s834,s2085,s562,s1594,s1184,s715,s2083,s1351,s2082,s832,s288,s818,s2077,s462,s558,s1467,s985]) ).
cnf(s2096,plain,
( spl0_201
| ~ spl0_10 ),
inference(rat,[],[s1144,s1369,s1099,s1295,s565,s1839,s1631,s1708,s1472,s1025,s1035,s564,s2095,s1748,s822,s1635,s1064,s883,s834,s2085,s562,s1184,s1594,s715,s2083,s1351,s673,s84,s2080,s832,s816,s288,s818,s64,s285,s2082,s462,s558,s939,s1084,s985,s2077]) ).
cnf(s2097,plain,
( ~ spl0_275
| ~ spl0_10 ),
inference(rat,[],[s1903,s1246,s64,s285,s1120,s1257,s830,s1533,s1087,s2096,s816,s2077]) ).
cnf(s2098,plain,
( ~ spl0_140
| ~ spl0_10 ),
inference(rat,[],[s564,s1035,s2047,s2071,s1120,s2096,s816,s1025,s2097,s558,s462]) ).
cnf(s2099,plain,
~ spl0_10,
inference(rat,[],[s1936,s1338,s562,s2098,s1533,s1257,s1087,s1120,s830,s2096,s64,s285,s816,s558,s2077]) ).
cnf(s2101,plain,
~ spl0_53,
inference(rat,[],[s359,s2099]) ).
cnf(s2102,plain,
spl0_36,
inference(rat,[],[s40,s2099]) ).
cnf(s2103,plain,
spl0_11,
inference(rat,[],[s7,s2099]) ).
cnf(s2104,plain,
( ~ spl0_144
| spl0_203
| ~ spl0_274
| ~ spl0_142
| spl0_201
| ~ spl0_140
| ~ spl0_211 ),
inference(rat,[],[s903,s1822,s1785,s10,s1179,s77,s2092,s185,s1158,s1163,s1781,s61,s55,s563,s661,s714,s1736,s691,s1099,s486,s1784,s824,s2093,s1631,s633,s1839,s1804,s2094,s1846,s1803,s1635,s834,s1958,s740,s2077,s462,s127,s2099,s558,s985]) ).
cnf(s2105,plain,
( spl0_203
| ~ spl0_274
| ~ spl0_142
| spl0_201
| ~ spl0_140
| ~ spl0_211 ),
inference(rat,[],[s1838,s1787,s1910,s84,s1631,s1650,s1784,s1800,s1801,s1099,s1295,s565,s2104,s1635,s834,s1958,s740,s1467,s462,s558,s2077,s985]) ).
cnf(s2106,plain,
( ~ spl0_203
| ~ spl0_211 ),
inference(rat,[],[s1804,s1839,s1846,s565,s1632,s1726,s1635,s834,s1958,s740,s558,s2077,s985]) ).
cnf(s2107,plain,
( ~ spl0_55
| spl0_201
| ~ spl0_140
| spl0_203 ),
inference(rat,[],[s1671,s84,s1251]) ).
cnf(s2108,plain,
( ~ spl0_142
| spl0_201
| ~ spl0_140
| ~ spl0_211 ),
inference(rat,[],[s1631,s1910,s1708,s1838,s1472,s1025,s2105,s834,s673,s1787,s2107,s2106,s1467,s939,s462,s2077]) ).
cnf(s2109,plain,
( ~ spl0_144
| spl0_246
| ~ spl0_211 ),
inference(rat,[],[s1804,s1839,s1846,s1635,s834,s1958,s740,s2077,s985]) ).
cnf(s2110,plain,
( ~ spl0_28
| spl0_227
| ~ spl0_287
| spl0_49
| spl0_8
| ~ spl0_242 ),
inference(rat,[],[s242,s10,s169,s77,s1479,s185,s797,s61,s1563,s13,s1484,s71,s1748,s2099,s127,s2103,s2077,s1084]) ).
cnf(s2111,plain,
( spl0_9
| ~ spl0_22
| spl0_227
| ~ spl0_287
| spl0_49
| ~ spl0_140
| spl0_203 ),
inference(rat,[],[s797,s1563,s1053,s730,s61,s31,s13,s755,s1748,s2102,s2103,s2099,s1084]) ).
cnf(s2112,plain,
( spl0_227
| spl0_158
| ~ spl0_140
| ~ spl0_211 ),
inference(rat,[],[s216,s234,s162,s142,s63,s65,s79,s28,s197,s212,s2111,s988,s64,s1738,s2110,s1952,s834,s1525,s1650,s2106,s824,s576,s1099,s1295,s565,s2109,s1631,s1708,s2103,s2099,s127,s462,s558,s939,s2077]) ).
cnf(s2113,plain,
( spl0_201
| ~ spl0_140
| ~ spl0_211 ),
inference(rat,[],[s488,s486,s817,s1970,s1064,s2112,s1472,s1025,s1035,s564,s2108,s673,s2107,s834,s2106,s2099,s462,s558,s2077]) ).
cnf(s2114,plain,
( ~ spl0_201
| ~ spl0_211 ),
inference(rat,[],[s1800,s1784,s1801,s1099,s1516,s830,s1635,s834,s1958,s740,s462,s2077,s985]) ).
cnf(s2115,plain,
( spl0_191
| ~ spl0_211 ),
inference(rat,[],[s1838,s564,s1910,s842,s1834,s834,s1787,s1251,s1254,s486,s685,s562,s2113,s2114,s2106,s558,s1467,s2077]) ).
cnf(s2116,plain,
~ spl0_211,
inference(rat,[],[s216,s137,s237,s145,s15,s24,s1556,s1554,s1598,s948,s1432,s2115,s988,s1952,s949,s1064,s64,s1738,s817,s71,s488,s1254,s1351,s486,s1594,s685,s562,s2113,s832,s2114,s2106,s834,s2077,s2099,s939,s127,s558]) ).
cnf(s2117,plain,
spl0_210,
inference(rat,[],[s742,s2116]) ).
cnf(s2118,plain,
( ~ spl0_142
| spl0_40
| spl0_203
| spl0_34 ),
inference(rat,[],[s32,s34,s216,s75,s234,s162,s142,s63,s65,s79,s28,s197,s71,s488,s1184,s486,s1837,s688,s715,s2099,s2103,s2077,s2116]) ).
cnf(s2119,plain,
( spl0_203
| spl0_201
| ~ spl0_140 ),
inference(rat,[],[s32,s34,s216,s75,s234,s162,s142,s63,s65,s79,s28,s197,s212,s71,s1351,s1341,s1025,s1035,s564,s2118,s289,s2107,s1525,s832,s2099,s2103,s2077,s2116,s462,s558]) ).
cnf(s2120,plain,
( ~ spl0_110
| spl0_55
| spl0_121 ),
inference(rat,[],[s735,s694,s756,s801,s2077]) ).
cnf(s2121,plain,
( ~ spl0_44
| spl0_110
| spl0_121 ),
inference(rat,[],[s472,s475,s462]) ).
cnf(s2122,plain,
( ~ spl0_28
| ~ spl0_169
| ~ spl0_188
| spl0_226
| ~ spl0_227
| ~ spl0_35
| spl0_246
| spl0_201 ),
inference(rat,[],[s1804,s1846,s1839,s565,s1154,s1789,s997,s1958,s716,s718,s558,s939,s968,s2116]) ).
cnf(s2123,plain,
( spl0_244
| spl0_226
| ~ spl0_35
| ~ spl0_18
| ~ spl0_142
| spl0_246
| spl0_201
| spl0_121 ),
inference(rat,[],[s2121,s80,s10,s2120,s61,s77,s84,s2013,s37,s2122,s1790,s1838,s1069,s1635,s1910,s744,s2099,s985,s2116,s1467]) ).
cnf(s2128,plain,
( ~ spl0_111
| ~ spl0_39
| spl0_289
| ~ spl0_227
| ~ spl0_142
| ~ spl0_203 ),
inference(rat,[],[s1764,s1884,s1876,s1885,s1824,s695,s1126,s1880,s735,s1303,s1882,s2102,s462,s2077]) ).
cnf(s2129,plain,
( spl0_9
| spl0_242
| ~ spl0_274
| ~ spl0_142
| spl0_201
| ~ spl0_140 ),
inference(rat,[],[s695,s1883,s448,s1785,s802,s1805,s1890,s1158,s1163,s1781,s1898,s661,s714,s738,s2128,s565,s1295,s1099,s1703,s485,s486,s803,s1382,s1100,s563,s1518,s10,s1790,s77,s2013,s34,s185,s61,s824,s2121,s2120,s84,s1745,s1541,s1540,s2123,s1299,s744,s31,s13,s755,s805,s1910,s1726,s2119,s462,s2077,s2117,s939,s558,s127,s2099,s2116,s2102,s2103,s1467]) ).
cnf(s2130,plain,
( spl0_242
| ~ spl0_274
| ~ spl0_142
| spl0_201
| ~ spl0_140 ),
inference(rat,[],[s1790,s1518,s271,s563,s162,s142,s1100,s63,s65,s1382,s79,s486,s28,s1737,s197,s190,s212,s71,s2129,s1525,s1910,s1726,s2119,s101,s558,s2103,s2099,s2077,s1467]) ).
cnf(s2131,plain,
( ~ spl0_274
| ~ spl0_142
| spl0_201
| ~ spl0_140 ),
inference(rat,[],[s1299,s2123,s744,s31,s13,s755,s261,s108,s10,s1790,s77,s1838,s1069,s1628,s1320,s2130,s805,s1910,s1726,s2119,s2116,s2102,s2103,s2099,s2101,s985,s1467,s2077]) ).
cnf(s2132,plain,
( ~ spl0_142
| spl0_201
| ~ spl0_140 ),
inference(rat,[],[s1893,s1938,s1246,s1119,s1554,s817,s64,s1382,s212,s71,s803,s1351,s485,s1341,s1267,s1025,s2131,s832,s1910,s1726,s2119,s2099,s2077,s2116,s462,s1467]) ).
cnf(s2133,plain,
( spl0_201
| ~ spl0_140 ),
inference(rat,[],[s32,s34,s216,s75,s234,s162,s142,s63,s65,s79,s28,s255,s197,s1738,s212,s71,s1351,s1341,s1025,s1035,s829,s564,s2132,s832,s1525,s2099,s2103,s127,s2077,s2116,s462,s558]) ).
cnf(s2134,plain,
( ~ spl0_201
| ~ spl0_140 ),
inference(rat,[],[s1970,s1986,s564,s486,s2047,s729,s1236,s558,s2116,s2099]) ).
cnf(s2135,plain,
~ spl0_140,
inference(rat,[],[s2134,s2133]) ).
cnf(s2136,plain,
spl0_141,
inference(rat,[],[s562,s558,s2135]) ).
cnf(s2137,plain,
( ~ spl0_17
| ~ spl0_34
| spl0_40
| ~ spl0_9 ),
inference(rat,[],[s2025,s32,s75,s211,s162,s142,s63,s65,s71,s212,s2099,s2077]) ).
cnf(s2138,plain,
( spl0_203
| ~ spl0_142
| spl0_201 ),
inference(rat,[],[s1617,s952,s1910,s1834,s1432,s1186,s2137,s563,s1497,s2118,s289,s1727,s1251,s1254,s212,s486,s1351,s1837,s685,s1594,s715,s832,s1467,s2077,s558,s2099,s2136,s2116]) ).
cnf(s2139,plain,
( spl0_28
| spl0_12
| ~ spl0_274
| ~ spl0_142
| spl0_201 ),
inference(rat,[],[s1708,s1628,s1608,s1838,s673,s1790,s84,s2013,s37,s1910,s1726,s2138,s939,s2136,s2099,s1467,s2077]) ).
cnf(s2140,plain,
( ~ spl0_28
| spl0_9
| ~ spl0_142
| spl0_201 ),
inference(rat,[],[s2122,s1838,s1635,s1540,s1910,s1726,s2138,s31,s755,s1299,s1025,s1341,s1351,s832,s744,s13,s985,s2116,s2103,s462,s2102,s2099,s1467,s2077]) ).
cnf(s2141,plain,
( spl0_9
| ~ spl0_142
| spl0_201 ),
inference(rat,[],[s575,s1608,s824,s673,s61,s84,s2139,s37,s2140,s1025,s1341,s13,s1351,s832,s1726,s2138,s2136,s2077,s2099,s462,s2116,s2103]) ).
cnf(s2142,plain,
( ~ spl0_274
| ~ spl0_226
| ~ spl0_242
| spl0_220
| ~ spl0_170
| ~ spl0_142 ),
inference(rat,[],[s1789,s1838,s1950,s1624,s1628,s1299,s985]) ).
cnf(s2143,plain,
( ~ spl0_142
| spl0_201 ),
inference(rat,[],[s216,s137,s237,s145,s15,s32,s20,s34,s1592,s1246,s1025,s2142,s1535,s1549,s1601,s1568,s1708,s2081,s1893,s1608,s1938,s673,s289,s1119,s84,s817,s37,s64,s1738,s212,s71,s178,s2141,s1910,s1726,s2138,s1467,s127,s2099,s939,s2102,s2136,s462,s2077]) ).
cnf(s2144,plain,
( ~ spl0_9
| ~ spl0_143 ),
inference(rat,[],[s32,s34,s216,s75,s234,s162,s142,s63,s65,s79,s28,s255,s197,s1738,s212,s71,s1573,s829,s2099,s2103,s127,s2077]) ).
cnf(s2145,plain,
( spl0_28
| spl0_12
| spl0_201 ),
inference(rat,[],[s1803,s1624,s891,s565,s1708,s1231,s1154,s1608,s1549,s673,s1706,s84,s1053,s37,s1738,s1533,s1299,s1025,s1341,s744,s13,s1281,s34,s1726,s1594,s1351,s2144,s564,s2143,s832,s558,s939,s2136,s2099,s127,s2077,s2116,s2103,s462]) ).
cnf(s2146,plain,
( spl0_12
| spl0_201 ),
inference(rat,[],[s1703,s485,s1099,s803,s1273,s488,s1125,s242,s952,s10,s1727,s77,s716,s1388,s2145,s34,s185,s31,s755,s744,s13,s1726,s1594,s1351,s2144,s564,s2143,s832,s2117,s462,s2099,s2136,s2116,s127,s2077,s558,s2103,s2102]) ).
cnf(s2147,plain,
( ~ spl0_55
| ~ spl0_227 ),
inference(rat,[],[s37,s84,s1392,s2116,s2099]) ).
cnf(s2148,plain,
spl0_201,
inference(rat,[],[s2147,s2120,s2121,s824,s61,s2146,s744,s13,s2144,s808,s564,s2143,s2077,s2116,s2103,s558]) ).
cnf(s2149,plain,
~ spl0_242,
inference(rat,[],[s830,s2077,s2148]) ).
cnf(s2150,plain,
~ spl0_150,
inference(rat,[],[s722,s2077,s2148]) ).
cnf(s2151,plain,
spl0_158,
inference(rat,[],[s1257,s2149]) ).
cnf(s2154,plain,
~ spl0_159,
inference(rat,[],[s1989,s2136,s2150]) ).
cnf(s2155,plain,
spl0_246,
inference(rat,[],[s1608,s2136,s2151,s2154]) ).
cnf(s2157,plain,
~ spl0_203,
inference(rat,[],[s1726,s2077,s2155]) ).
cnf(s2161,plain,
spl0_207,
inference(rat,[],[s715,s2157]) ).
cnf(s2162,plain,
~ spl0_142,
inference(rat,[],[s2137,s2118,s1186,s289,s1432,s84,s1834,s488,s1237,s1184,s486,s1837,s688,s2157,s2099,s2077,s2155,s2101,s2116,s2161]) ).
cnf(s2163,plain,
spl0_143,
inference(rat,[],[s564,s558,s2162]) ).
cnf(s2168,plain,
~ spl0_9,
inference(rat,[],[s2144,s2163]) ).
cnf(s2173,plain,
spl0_18,
inference(rat,[],[s13,s2103,s2168]) ).
cnf(s2183,plain,
spl0_227,
inference(rat,[],[s744,s2116,s2173]) ).
cnf(s2184,plain,
$false,
inference(rat,[],[s766,s2157,s2163,s2173,s2183]) ).
thf(f22680,plain,
$false,
inference(avatar_sat_refutation,[],[s2184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA170^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 % Computer : n004.cluster.edu
% 0.11/0.22 % Model : x86_64 x86_64
% 0.11/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.22 % Memory : 8046.5625MB
% 0.11/0.22 % OS : Linux 6.8.0-71-generic
% 0.11/0.22 % CPULimit : 300
% 0.11/0.22 % WCLimit : 300
% 0.11/0.22 % DateTime : Tue Sep 29 19:07:22 UTC 2026
% 0.11/0.23 % CPUTime :
% 0.11/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.28 Running higher-order theorem proving
% 0.25/0.29 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
% 0.64/0.47 % (1704385)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.64/0.47 % (1704393)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=4206330331: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)
% 0.64/0.47 % (1704396)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.64/0.47 % (1704396)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
% 0.64/0.47 % (1704390)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1481069095:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.64/0.47 % (1704391)lrs+10_16_si=on:nwc=1.5:random_seed=805873253:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.64/0.47 % (1704392)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=705514053:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.64/0.47 % (1704394)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1001125199:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.64/0.47 % (1704395)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=291880920:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.64/0.47 % (1704396)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=3731242711:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.64/0.47 % (1704392)Instruction limit reached!
% 0.64/0.47 % (1704392)------------------------------
% 0.64/0.47 % (1704392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.47 % (1704392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.47 % (1704392)CaDiCaL version: 2.1.3
% 0.64/0.47 % (1704392)Termination reason: Instruction limit
% 0.64/0.47 % (1704392)Termination phase: Saturation
% 0.64/0.47 % (1704392)Time elapsed: 0.004 s
% 0.64/0.47 % (1704392)Peak memory usage: 12 MB
% 0.64/0.47 % (1704392)Instructions burned: 3 (million)
% 0.64/0.47 % (1704391)Instruction limit reached!
% 0.64/0.47 % (1704391)------------------------------
% 0.64/0.47 % (1704391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.47 % (1704391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.47 % (1704391)CaDiCaL version: 2.1.3
% 0.64/0.47 % (1704391)Termination reason: Instruction limit
% 0.64/0.47 % (1704391)Termination phase: Saturation
% 0.64/0.47 % (1704391)Time elapsed: 0.015 s
% 0.64/0.47 % (1704391)Peak memory usage: 12 MB
% 0.64/0.47 % (1704391)Instructions burned: 18 (million)
% 0.64/0.47 % (1704394)Instruction limit reached!
% 0.64/0.47 % (1704394)------------------------------
% 0.64/0.47 % (1704394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.47 % (1704394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.47 % (1704394)CaDiCaL version: 2.1.3
% 0.64/0.47 % (1704394)Termination reason: Instruction limit
% 0.64/0.47 % (1704394)Termination phase: Saturation
% 0.64/0.47 % (1704394)Time elapsed: 0.019 s
% 0.64/0.47 % (1704394)Peak memory usage: 11 MB
% 0.64/0.47 % (1704394)Instructions burned: 24 (million)
% 0.64/0.47 % (1704404)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2304336741:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.64/0.47 % (1704404)Instruction limit reached!
% 0.64/0.47 % (1704404)------------------------------
% 0.64/0.47 % (1704404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.64/0.47 % (1704404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.47 % (1704404)CaDiCaL version: 2.1.3
% 0.64/0.47 % (1704404)Termination reason: Instruction limit
% 0.64/0.47 % (1704404)Termination phase: Saturation
% 0.64/0.47 % (1704404)Time elapsed: 0.003 s
% 0.64/0.47 % (1704404)Peak memory usage: 12 MB
% 0.64/0.47 % (1704404)Instructions burned: 2 (million)
% 0.64/0.47 % (1704406)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.35/0.51 % (1704405)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4197461071:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.35/0.51 % (1704406)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1553075065:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.35/0.51 % (1704405)Instruction limit reached!
% 1.35/0.51 % (1704405)------------------------------
% 1.35/0.51 % (1704405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.51 % (1704405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.51 % (1704405)CaDiCaL version: 2.1.3
% 1.35/0.51 % (1704405)Termination reason: Instruction limit
% 1.35/0.51 % (1704405)Termination phase: Saturation
% 1.35/0.51 % (1704405)Time elapsed: 0.004 s
% 1.35/0.51 % (1704405)Peak memory usage: 12 MB
% 1.35/0.51 % (1704405)Instructions burned: 6 (million)
% 1.35/0.51 % (1704406)Instruction limit reached!
% 1.35/0.51 % (1704406)------------------------------
% 1.35/0.51 % (1704406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.51 % (1704406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.51 % (1704406)CaDiCaL version: 2.1.3
% 1.35/0.51 % (1704406)Termination reason: Instruction limit
% 1.35/0.51 % (1704406)Termination phase: Saturation
% 1.35/0.51 % (1704406)Time elapsed: 0.007 s
% 1.35/0.51 % (1704406)Peak memory usage: 12 MB
% 1.35/0.51 % (1704406)Instructions burned: 7 (million)
% 1.35/0.51 % (1704390)Instruction limit reached!
% 1.35/0.51 % (1704390)------------------------------
% 1.35/0.51 % (1704390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.51 % (1704390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.51 % (1704390)CaDiCaL version: 2.1.3
% 1.35/0.51 % (1704390)Termination reason: Instruction limit
% 1.35/0.51 % (1704390)Termination phase: Saturation
% 1.35/0.51 % (1704390)Time elapsed: 0.062 s
% 1.35/0.51 % (1704390)Peak memory usage: 12 MB
% 1.35/0.51 % (1704390)Instructions burned: 87 (million)
% 1.35/0.51 % (1704395)Instruction limit reached!
% 1.35/0.51 % (1704395)------------------------------
% 1.35/0.51 % (1704395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.51 % (1704395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.51 % (1704395)CaDiCaL version: 2.1.3
% 1.35/0.51 % (1704395)Termination reason: Instruction limit
% 1.35/0.51 % (1704395)Termination phase: Saturation
% 1.35/0.51 % (1704395)Time elapsed: 0.062 s
% 1.35/0.51 % (1704395)Peak memory usage: 12 MB
% 1.35/0.51 % (1704395)Instructions burned: 75 (million)
% 1.35/0.51 % (1704411)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
% 1.35/0.51 % (1704411)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.35/0.51 % (1704411)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1522681289:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.35/0.51 % (1704408)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2231733466:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.35/0.51 % (1704408)Instruction limit reached!
% 1.35/0.51 % (1704408)------------------------------
% 1.35/0.51 % (1704408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.51 % (1704408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.51 % (1704408)CaDiCaL version: 2.1.3
% 1.35/0.51 % (1704408)Termination reason: Instruction limit
% 1.35/0.51 % (1704408)Termination phase: Saturation
% 1.35/0.51 % (1704408)Time elapsed: 0.012 s
% 1.35/0.51 % (1704408)Peak memory usage: 12 MB
% 1.35/0.51 % (1704408)Instructions burned: 12 (million)
% 1.35/0.51 % (1704411)Instruction limit reached!
% 1.35/0.51 % (1704411)------------------------------
% 1.35/0.51 % (1704411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.51 % (1704411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.51 % (1704411)CaDiCaL version: 2.1.3
% 1.35/0.51 % (1704411)Termination reason: Instruction limit
% 1.35/0.51 % (1704411)Termination phase: Saturation
% 1.35/0.55 % (1704414)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.35/0.55 % (1704411)Time elapsed: 0.015 s
% 1.35/0.55 % (1704411)Peak memory usage: 12 MB
% 1.35/0.55 % (1704411)Instructions burned: 29 (million)
% 1.35/0.55 % (1704412)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=1652060049:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.35/0.55 % (1704413)lrs+10_1_si=on:cs=on:random_seed=52142667:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.35/0.55 % (1704414)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=1470024902:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.35/0.55 % (1704414)Instruction limit reached!
% 1.35/0.55 % (1704414)------------------------------
% 1.35/0.55 % (1704414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.55 % (1704414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.55 % (1704414)CaDiCaL version: 2.1.3
% 1.35/0.55 % (1704414)Termination reason: Instruction limit
% 1.35/0.55 % (1704414)Termination phase: Saturation
% 1.35/0.55 % (1704414)Time elapsed: 0.003 s
% 1.35/0.55 % (1704414)Peak memory usage: 11 MB
% 1.35/0.55 % (1704414)Instructions burned: 3 (million)
% 1.35/0.55 % (1704413)Instruction limit reached!
% 1.35/0.55 % (1704413)------------------------------
% 1.35/0.55 % (1704413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.55 % (1704413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.55 % (1704413)CaDiCaL version: 2.1.3
% 1.35/0.55 % (1704413)Termination reason: Instruction limit
% 1.35/0.55 % (1704413)Termination phase: Saturation
% 1.35/0.55 % (1704413)Time elapsed: 0.008 s
% 1.35/0.55 % (1704413)Peak memory usage: 12 MB
% 1.35/0.55 % (1704413)Instructions burned: 9 (million)
% 1.35/0.55 % (1704396)Instruction limit reached!
% 1.35/0.55 % (1704396)------------------------------
% 1.35/0.55 % (1704396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.55 % (1704396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.55 % (1704396)CaDiCaL version: 2.1.3
% 1.35/0.55 % (1704396)Termination reason: Instruction limit
% 1.35/0.55 % (1704396)Termination phase: Saturation
% 1.35/0.55 % (1704396)Time elapsed: 0.109 s
% 1.35/0.55 % (1704396)Peak memory usage: 12 MB
% 1.35/0.55 % (1704396)Instructions burned: 157 (million)
% 1.35/0.55 % (1704418)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3704292040:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.35/0.55 % (1704418)Refutation not found, incomplete strategy
% 1.35/0.55 % (1704418)------------------------------
% 1.35/0.55 % (1704418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.55 % (1704418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.55 % (1704418)CaDiCaL version: 2.1.3
% 1.35/0.55 % (1704418)Termination reason: Refutation not found, incomplete strategy
% 1.35/0.55 % (1704418)Time elapsed: 0.001 s
% 1.35/0.55 % (1704418)Peak memory usage: 11 MB
% 1.35/0.55 % (1704417)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2758256571:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.35/0.55 % (1704418)------------------------------
% 1.35/0.55 % (1704418)------------------------------
% 1.35/0.55 % (1704417)Refutation not found, incomplete strategy
% 1.35/0.55 % (1704417)------------------------------
% 1.35/0.55 % (1704417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.55 % (1704417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.55 % (1704417)CaDiCaL version: 2.1.3
% 1.35/0.55 % (1704417)Termination reason: Refutation not found, incomplete strategy
% 1.35/0.55 % (1704417)Time elapsed: 0.001 s
% 1.35/0.55 % (1704417)Peak memory usage: 11 MB
% 1.35/0.55 % (1704417)------------------------------
% 1.35/0.55 % (1704417)------------------------------
% 1.35/0.55 % (1704422)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=324331699:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.35/0.55 % (1704422)Refutation not found, incomplete strategy
% 1.97/0.59 % (1704422)------------------------------
% 1.97/0.59 % (1704422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.59 % (1704422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.59 % (1704422)CaDiCaL version: 2.1.3
% 1.97/0.59 % (1704422)Termination reason: Refutation not found, incomplete strategy
% 1.97/0.59 % (1704422)Time elapsed: 0.001 s
% 1.97/0.59 % (1704422)Peak memory usage: 11 MB
% 1.97/0.59 % (1704422)------------------------------
% 1.97/0.59 % (1704422)------------------------------
% 1.97/0.59 % (1704423)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=872176909:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.97/0.59 % (1704424)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2661256723:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.97/0.59 % (1704424)Refutation not found, incomplete strategy
% 1.97/0.59 % (1704424)------------------------------
% 1.97/0.59 % (1704424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.59 % (1704424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.59 % (1704424)CaDiCaL version: 2.1.3
% 1.97/0.59 % (1704424)Termination reason: Refutation not found, incomplete strategy
% 1.97/0.59 % (1704424)Time elapsed: 0.001 s
% 1.97/0.59 % (1704424)Peak memory usage: 11 MB
% 1.97/0.59 % (1704424)------------------------------
% 1.97/0.59 % (1704424)------------------------------
% 1.97/0.59 % (1704423)Instruction limit reached!
% 1.97/0.59 % (1704423)------------------------------
% 1.97/0.59 % (1704423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.59 % (1704423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.59 % (1704423)CaDiCaL version: 2.1.3
% 1.97/0.59 % (1704423)Termination reason: Instruction limit
% 1.97/0.59 % (1704423)Termination phase: Saturation
% 1.97/0.59 % (1704423)Time elapsed: 0.015 s
% 1.97/0.59 % (1704423)Peak memory usage: 12 MB
% 1.97/0.59 % (1704423)Instructions burned: 15 (million)
% 1.97/0.59 % (1704427)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=778246208:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.97/0.59 % (1704428)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4184955436: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)
% 1.97/0.59 % (1704428)Refutation not found, incomplete strategy
% 1.97/0.59 % (1704428)------------------------------
% 1.97/0.59 % (1704428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.59 % (1704428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.59 % (1704428)CaDiCaL version: 2.1.3
% 1.97/0.59 % (1704428)Termination reason: Refutation not found, incomplete strategy
% 1.97/0.59 % (1704428)Time elapsed: 0.001 s
% 1.97/0.59 % (1704428)Peak memory usage: 11 MB
% 1.97/0.59 % (1704428)------------------------------
% 1.97/0.59 % (1704428)------------------------------
% 1.97/0.59 % (1704412)Instruction limit reached!
% 1.97/0.59 % (1704412)------------------------------
% 1.97/0.59 % (1704412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.59 % (1704412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.59 % (1704412)CaDiCaL version: 2.1.3
% 1.97/0.59 % (1704412)Termination reason: Instruction limit
% 1.97/0.59 % (1704412)Termination phase: Saturation
% 1.97/0.59 % (1704412)Time elapsed: 0.070 s
% 1.97/0.59 % (1704412)Peak memory usage: 12 MB
% 1.97/0.59 % (1704412)Instructions burned: 87 (million)
% 1.97/0.59 % (1704430)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1439460172:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.97/0.59 % (1704433)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1271002425:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.97/0.59 % (1704427)Instruction limit reached!
% 1.97/0.59 % (1704427)------------------------------
% 1.97/0.59 % (1704427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.59 % (1704427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.59 % (1704427)CaDiCaL version: 2.1.3
% 1.97/0.59 % (1704427)Termination reason: Instruction limit
% 1.97/0.62 % (1704427)Termination phase: Saturation
% 1.97/0.62 % (1704427)Time elapsed: 0.013 s
% 1.97/0.62 % (1704427)Peak memory usage: 12 MB
% 1.97/0.62 % (1704427)Instructions burned: 14 (million)
% 1.97/0.62 % (1704393)Instruction limit reached!
% 1.97/0.62 % (1704393)------------------------------
% 1.97/0.62 % (1704393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.62 % (1704393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.62 % (1704393)CaDiCaL version: 2.1.3
% 1.97/0.62 % (1704393)Termination reason: Instruction limit
% 1.97/0.62 % (1704393)Termination phase: Saturation
% 1.97/0.62 % (1704393)Time elapsed: 0.181 s
% 1.97/0.62 % (1704393)Peak memory usage: 12 MB
% 1.97/0.62 % (1704393)Instructions burned: 637 (million)
% 1.97/0.62 % (1704434)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2602206900:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.97/0.62 % (1704437)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.97/0.62 % (1704437)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.97/0.62 % (1704438)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.97/0.62 % (1704433)Instruction limit reached!
% 1.97/0.62 % (1704433)------------------------------
% 1.97/0.62 % (1704433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.62 % (1704433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.62 % (1704433)CaDiCaL version: 2.1.3
% 1.97/0.62 % (1704433)Termination reason: Instruction limit
% 1.97/0.62 % (1704433)Termination phase: Saturation
% 1.97/0.62 % (1704433)Time elapsed: 0.020 s
% 1.97/0.62 % (1704433)Peak memory usage: 12 MB
% 1.97/0.62 % (1704433)Instructions burned: 23 (million)
% 1.97/0.62 % (1704430)Instruction limit reached!
% 1.97/0.62 % (1704430)------------------------------
% 1.97/0.62 % (1704430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.62 % (1704430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.62 % (1704430)CaDiCaL version: 2.1.3
% 1.97/0.62 % (1704430)Termination reason: Instruction limit
% 1.97/0.62 % (1704430)Termination phase: Saturation
% 1.97/0.62 % (1704430)Time elapsed: 0.023 s
% 1.97/0.62 % (1704430)Peak memory usage: 11 MB
% 1.97/0.62 % (1704430)Instructions burned: 26 (million)
% 1.97/0.62 % (1704437)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=2077447242:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.97/0.62 % (1704438)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=2543940813:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 1.97/0.62 % (1704441)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=1511680696:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.97/0.62 % (1704438)Instruction limit reached!
% 1.97/0.62 % (1704438)------------------------------
% 1.97/0.62 % (1704438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.97/0.62 % (1704438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.97/0.62 % (1704438)CaDiCaL version: 2.1.3
% 1.97/0.62 % (1704438)Termination reason: Instruction limit
% 1.97/0.62 % (1704438)Termination phase: Saturation
% 1.97/0.62 % (1704438)Time elapsed: 0.011 s
% 1.97/0.62 % (1704438)Peak memory usage: 12 MB
% 1.97/0.62 % (1704438)Instructions burned: 12 (million)
% 1.97/0.62 % (1704444)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1987883405:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.97/0.62 % (1704442)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3513565671:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.97/0.62 % (1704437)Instruction limit reached!
% 1.97/0.62 % (1704437)------------------------------
% 1.97/0.62 % (1704437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.19/0.68 % (1704437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.68 % (1704437)CaDiCaL version: 2.1.3
% 2.19/0.68 % (1704437)Termination reason: Instruction limit
% 2.19/0.68 % (1704437)Termination phase: Saturation
% 2.19/0.68 % (1704437)Time elapsed: 0.014 s
% 2.19/0.68 % (1704437)Peak memory usage: 12 MB
% 2.19/0.68 % (1704437)Instructions burned: 14 (million)
% 2.19/0.68 % (1704442)Instruction limit reached!
% 2.19/0.68 % (1704442)------------------------------
% 2.19/0.68 % (1704442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.19/0.68 % (1704442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.68 % (1704442)CaDiCaL version: 2.1.3
% 2.19/0.68 % (1704442)Termination reason: Instruction limit
% 2.19/0.68 % (1704442)Termination phase: Saturation
% 2.19/0.68 % (1704442)Time elapsed: 0.008 s
% 2.19/0.68 % (1704442)Peak memory usage: 12 MB
% 2.19/0.68 % (1704442)Instructions burned: 7 (million)
% 2.19/0.68 % (1704444)Instruction limit reached!
% 2.19/0.68 % (1704444)------------------------------
% 2.19/0.68 % (1704444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.19/0.68 % (1704444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.68 % (1704444)CaDiCaL version: 2.1.3
% 2.19/0.68 % (1704444)Termination reason: Instruction limit
% 2.19/0.68 % (1704444)Termination phase: Saturation
% 2.19/0.68 % (1704444)Time elapsed: 0.010 s
% 2.19/0.68 % (1704444)Peak memory usage: 11 MB
% 2.19/0.68 % (1704444)Instructions burned: 23 (million)
% 2.19/0.68 % (1704445)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3605570937:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.19/0.68 % (1704434)Instruction limit reached!
% 2.19/0.68 % (1704434)------------------------------
% 2.19/0.68 % (1704434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.19/0.68 % (1704434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.68 % (1704434)CaDiCaL version: 2.1.3
% 2.19/0.68 % (1704434)Termination reason: Instruction limit
% 2.19/0.68 % (1704434)Termination phase: Saturation
% 2.19/0.68 % (1704434)Time elapsed: 0.044 s
% 2.19/0.68 % (1704434)Peak memory usage: 12 MB
% 2.19/0.68 % (1704434)Instructions burned: 60 (million)
% 2.19/0.68 % (1704441)Instruction limit reached!
% 2.19/0.68 % (1704441)------------------------------
% 2.19/0.68 % (1704441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.19/0.68 % (1704441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.68 % (1704441)CaDiCaL version: 2.1.3
% 2.19/0.68 % (1704441)Termination reason: Instruction limit
% 2.19/0.68 % (1704441)Termination phase: Saturation
% 2.19/0.68 % (1704441)Time elapsed: 0.029 s
% 2.19/0.68 % (1704441)Peak memory usage: 12 MB
% 2.19/0.68 % (1704441)Instructions burned: 32 (million)
% 2.19/0.68 % (1704451)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4037294074:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.19/0.68 % (1704454)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1883236203:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.19/0.68 % (1704445)Instruction limit reached!
% 2.19/0.68 % (1704445)------------------------------
% 2.19/0.68 % (1704445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.19/0.68 % (1704445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.68 % (1704445)CaDiCaL version: 2.1.3
% 2.19/0.68 % (1704445)Termination reason: Instruction limit
% 2.19/0.68 % (1704445)Termination phase: Saturation
% 2.19/0.68 % (1704445)Time elapsed: 0.019 s
% 2.19/0.68 % (1704445)Peak memory usage: 12 MB
% 2.19/0.68 % (1704445)Instructions burned: 21 (million)
% 2.19/0.68 % (1704452)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=35195898:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.19/0.68 % (1704453)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3727585575:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.19/0.68 % (1704453)Refutation not found, incomplete strategy
% 2.19/0.68 % (1704453)------------------------------
% 2.19/0.68 % (1704453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.19/0.68 % (1704453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.19/0.68 % (1704453)CaDiCaL version: 2.1.3
% 2.49/0.77 % (1704453)Termination reason: Refutation not found, incomplete strategy
% 2.49/0.77 % (1704453)Time elapsed: 0.001 s
% 2.49/0.77 % (1704453)Peak memory usage: 11 MB
% 2.49/0.77 % (1704453)------------------------------
% 2.49/0.77 % (1704453)------------------------------
% 2.49/0.77 % (1704456)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.49/0.77 % (1704454)Instruction limit reached!
% 2.49/0.77 % (1704454)------------------------------
% 2.49/0.77 % (1704454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.77 % (1704454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.77 % (1704454)CaDiCaL version: 2.1.3
% 2.49/0.77 % (1704454)Termination reason: Instruction limit
% 2.49/0.77 % (1704454)Termination phase: Saturation
% 2.49/0.77 % (1704454)Time elapsed: 0.018 s
% 2.49/0.77 % (1704454)Peak memory usage: 12 MB
% 2.49/0.77 % (1704454)Instructions burned: 45 (million)
% 2.49/0.77 % (1704456)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1568565837:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.49/0.77 % (1704457)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=548036246:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.49/0.77 % (1704457)Refutation not found, incomplete strategy
% 2.49/0.77 % (1704457)------------------------------
% 2.49/0.77 % (1704457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.77 % (1704457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.77 % (1704457)CaDiCaL version: 2.1.3
% 2.49/0.77 % (1704457)Termination reason: Refutation not found, incomplete strategy
% 2.49/0.77 % (1704457)Time elapsed: 0.001 s
% 2.49/0.77 % (1704457)Peak memory usage: 11 MB
% 2.49/0.77 % (1704456)Instruction limit reached!
% 2.49/0.77 % (1704456)------------------------------
% 2.49/0.77 % (1704456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.77 % (1704456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.77 % (1704456)CaDiCaL version: 2.1.3
% 2.49/0.77 % (1704456)Termination reason: Instruction limit
% 2.49/0.77 % (1704456)Termination phase: Saturation
% 2.49/0.77 % (1704456)Time elapsed: 0.008 s
% 2.49/0.77 % (1704456)Peak memory usage: 12 MB
% 2.49/0.77 % (1704456)Instructions burned: 7 (million)
% 2.49/0.77 % (1704457)------------------------------
% 2.49/0.77 % (1704457)------------------------------
% 2.49/0.77 % (1704463)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.49/0.77 % (1704460)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=1534730369: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)
% 2.49/0.77 % (1704460)Refutation not found, incomplete strategy
% 2.49/0.77 % (1704460)------------------------------
% 2.49/0.77 % (1704460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.77 % (1704460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.77 % (1704460)CaDiCaL version: 2.1.3
% 2.49/0.77 % (1704460)Termination reason: Refutation not found, incomplete strategy
% 2.49/0.77 % (1704460)Time elapsed: 0.001 s
% 2.49/0.77 % (1704460)Peak memory usage: 11 MB
% 2.49/0.77 % (1704460)------------------------------
% 2.49/0.77 % (1704460)------------------------------
% 2.49/0.77 % (1704463)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2487458859:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.49/0.77 % (1704463)Refutation not found, incomplete strategy
% 2.49/0.77 % (1704463)------------------------------
% 2.49/0.77 % (1704463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.49/0.77 % (1704463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.49/0.77 % (1704463)CaDiCaL version: 2.1.3
% 2.49/0.77 % (1704463)Termination reason: Refutation not found, incomplete strategy
% 2.49/0.77 % (1704463)Time elapsed: 0.001 s
% 2.49/0.77 % (1704463)Peak memory usage: 11 MB
% 2.49/0.77 % (1704463)Instructions burned: 1 (million)
% 2.49/0.77 % (1704463)------------------------------
% 2.77/0.86 % (1704463)------------------------------
% 2.77/0.86 % (1704464)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2072082458:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.77/0.86 % (1704472)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=3314332662: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)
% 2.77/0.86 % (1704467)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3719209087:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.77/0.86 % (1704467)Refutation not found, incomplete strategy
% 2.77/0.86 % (1704467)------------------------------
% 2.77/0.86 % (1704467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.86 % (1704467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.86 % (1704467)CaDiCaL version: 2.1.3
% 2.77/0.86 % (1704467)Termination reason: Refutation not found, incomplete strategy
% 2.77/0.86 % (1704467)Time elapsed: 0.003 s
% 2.77/0.86 % (1704467)Peak memory usage: 12 MB
% 2.77/0.86 % (1704467)Instructions burned: 2 (million)
% 2.77/0.86 % (1704468)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=3994826632:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.77/0.86 % (1704467)------------------------------
% 2.77/0.86 % (1704467)------------------------------
% 2.77/0.86 % (1704470)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=437271495: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)
% 2.77/0.86 % (1704464)Instruction limit reached!
% 2.77/0.86 % (1704464)------------------------------
% 2.77/0.86 % (1704464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.86 % (1704464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.86 % (1704464)CaDiCaL version: 2.1.3
% 2.77/0.86 % (1704464)Termination reason: Instruction limit
% 2.77/0.86 % (1704464)Termination phase: Saturation
% 2.77/0.86 % (1704464)Time elapsed: 0.019 s
% 2.77/0.86 % (1704464)Peak memory usage: 12 MB
% 2.77/0.86 % (1704464)Instructions burned: 22 (million)
% 2.77/0.86 % (1704472)Instruction limit reached!
% 2.77/0.86 % (1704472)------------------------------
% 2.77/0.86 % (1704472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.86 % (1704472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.86 % (1704472)CaDiCaL version: 2.1.3
% 2.77/0.86 % (1704472)Termination reason: Instruction limit
% 2.77/0.86 % (1704472)Termination phase: Saturation
% 2.77/0.86 % (1704472)Time elapsed: 0.023 s
% 2.77/0.86 % (1704472)Peak memory usage: 12 MB
% 2.77/0.86 % (1704472)Instructions burned: 45 (million)
% 2.77/0.86 % (1704479)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1610983673: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)
% 2.77/0.86 % (1704477)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1453656167:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.77/0.86 % (1704477)Refutation not found, incomplete strategy
% 2.77/0.86 % (1704477)------------------------------
% 2.77/0.86 % (1704477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.86 % (1704477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/0.86 % (1704477)CaDiCaL version: 2.1.3
% 2.77/0.86 % (1704477)Termination reason: Refutation not found, incomplete strategy
% 2.77/0.86 % (1704477)Time elapsed: 0.002 s
% 2.77/0.86 % (1704477)Peak memory usage: 12 MB
% 2.77/0.86 % (1704477)Instructions burned: 1 (million)
% 2.77/0.86 % (1704477)------------------------------
% 2.77/0.86 % (1704477)------------------------------
% 2.77/0.86 % (1704479)Instruction limit reached!
% 2.77/0.86 % (1704479)------------------------------
% 2.77/0.86 % (1704479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.77/0.86 % (1704479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.90 % (1704479)CaDiCaL version: 2.1.3
% 3.51/0.90 % (1704479)Termination reason: Instruction limit
% 3.51/0.90 % (1704479)Termination phase: Saturation
% 3.51/0.90 % (1704479)Time elapsed: 0.012 s
% 3.51/0.90 % (1704479)Peak memory usage: 12 MB
% 3.51/0.90 % (1704479)Instructions burned: 21 (million)
% 3.51/0.90 % (1704452)Instruction limit reached!
% 3.51/0.90 % (1704452)------------------------------
% 3.51/0.90 % (1704452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.90 % (1704452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.90 % (1704452)CaDiCaL version: 2.1.3
% 3.51/0.90 % (1704452)Termination reason: Instruction limit
% 3.51/0.90 % (1704452)Termination phase: Saturation
% 3.51/0.90 % (1704452)Time elapsed: 0.103 s
% 3.51/0.90 % (1704452)Peak memory usage: 12 MB
% 3.51/0.90 % (1704452)Instructions burned: 144 (million)
% 3.51/0.90 % (1704480)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.51/0.90 % (1704480)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1870797930:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.51/0.90 % (1704483)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1322109623:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.51/0.90 % (1704483)Instruction limit reached!
% 3.51/0.90 % (1704483)------------------------------
% 3.51/0.90 % (1704483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.90 % (1704483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.90 % (1704483)CaDiCaL version: 2.1.3
% 3.51/0.90 % (1704483)Termination reason: Instruction limit
% 3.51/0.90 % (1704483)Termination phase: Saturation
% 3.51/0.90 % (1704483)Time elapsed: 0.007 s
% 3.51/0.90 % (1704483)Peak memory usage: 12 MB
% 3.51/0.90 % (1704483)Instructions burned: 15 (million)
% 3.51/0.90 % (1704485)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3678876336:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.51/0.90 % (1704485)Refutation not found, incomplete strategy
% 3.51/0.90 % (1704485)------------------------------
% 3.51/0.90 % (1704485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.90 % (1704485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.90 % (1704485)CaDiCaL version: 2.1.3
% 3.51/0.90 % (1704485)Termination reason: Refutation not found, incomplete strategy
% 3.51/0.90 % (1704485)Time elapsed: 0.001 s
% 3.51/0.90 % (1704485)Peak memory usage: 12 MB
% 3.51/0.90 % (1704485)Instructions burned: 1 (million)
% 3.51/0.90 % (1704485)------------------------------
% 3.51/0.90 % (1704485)------------------------------
% 3.51/0.90 % (1704484)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=3498677969:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.51/0.90 % (1704490)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2755659711:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.51/0.90 % (1704488)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1444445897:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 3.51/0.90 % (1704488)Instruction limit reached!
% 3.51/0.90 % (1704488)------------------------------
% 3.51/0.90 % (1704488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.90 % (1704488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.90 % (1704488)CaDiCaL version: 2.1.3
% 3.51/0.90 % (1704488)Termination reason: Instruction limit
% 3.51/0.90 % (1704488)Termination phase: Saturation
% 3.51/0.90 % (1704488)Time elapsed: 0.028 s
% 3.51/0.90 % (1704488)Peak memory usage: 12 MB
% 3.51/0.90 % (1704488)Instructions burned: 32 (million)
% 3.51/0.90 % (1704484)Instruction limit reached!
% 3.51/0.90 % (1704484)------------------------------
% 3.51/0.90 % (1704484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/0.90 % (1704484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/0.90 % (1704484)CaDiCaL version: 2.1.3
% 3.51/0.90 % (1704484)Termination reason: Instruction limit
% 3.51/0.90 % (1704484)Termination phase: Saturation
% 3.51/1.00 % (1704484)Time elapsed: 0.055 s
% 3.51/1.00 % (1704484)Peak memory usage: 12 MB
% 3.51/1.00 % (1704484)Instructions burned: 66 (million)
% 3.51/1.00 % (1704490)Instruction limit reached!
% 3.51/1.00 % (1704490)------------------------------
% 3.51/1.00 % (1704490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/1.00 % (1704490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.00 % (1704490)CaDiCaL version: 2.1.3
% 3.51/1.00 % (1704490)Termination reason: Instruction limit
% 3.51/1.00 % (1704490)Termination phase: Saturation
% 3.51/1.00 % (1704490)Time elapsed: 0.055 s
% 3.51/1.00 % (1704490)Peak memory usage: 12 MB
% 3.51/1.00 % (1704490)Instructions burned: 138 (million)
% 3.51/1.00 % (1704495)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=590316477:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.51/1.00 % (1704495)Refutation not found, incomplete strategy
% 3.51/1.00 % (1704495)------------------------------
% 3.51/1.00 % (1704495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/1.00 % (1704495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.00 % (1704495)CaDiCaL version: 2.1.3
% 3.51/1.00 % (1704495)Termination reason: Refutation not found, incomplete strategy
% 3.51/1.00 % (1704495)Time elapsed: 0.001 s
% 3.51/1.00 % (1704495)Peak memory usage: 12 MB
% 3.51/1.00 % (1704495)Instructions burned: 1 (million)
% 3.51/1.00 % (1704495)------------------------------
% 3.51/1.00 % (1704495)------------------------------
% 3.51/1.00 % (1704494)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=1258422602:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.51/1.00 % (1704496)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.51/1.00 % (1704496)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3169574443:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.51/1.00 % (1704498)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=4225545130:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.51/1.00 % (1704498)Refutation not found, incomplete strategy
% 3.51/1.00 % (1704498)------------------------------
% 3.51/1.00 % (1704498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/1.00 % (1704498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.00 % (1704498)CaDiCaL version: 2.1.3
% 3.51/1.00 % (1704498)Termination reason: Refutation not found, incomplete strategy
% 3.51/1.00 % (1704498)Time elapsed: 0.001 s
% 3.51/1.00 % (1704498)Peak memory usage: 11 MB
% 3.51/1.00 % (1704498)------------------------------
% 3.51/1.00 % (1704498)------------------------------
% 3.51/1.00 % (1704494)Instruction limit reached!
% 3.51/1.00 % (1704494)------------------------------
% 3.51/1.00 % (1704494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/1.00 % (1704494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.00 % (1704494)CaDiCaL version: 2.1.3
% 3.51/1.00 % (1704494)Termination reason: Instruction limit
% 3.51/1.00 % (1704494)Termination phase: Saturation
% 3.51/1.00 % (1704494)Time elapsed: 0.030 s
% 3.51/1.00 % (1704494)Peak memory usage: 12 MB
% 3.51/1.00 % (1704494)Instructions burned: 34 (million)
% 3.51/1.00 % (1704480)Instruction limit reached!
% 3.51/1.00 % (1704480)------------------------------
% 3.51/1.00 % (1704480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.51/1.00 % (1704480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.00 % (1704480)CaDiCaL version: 2.1.3
% 3.51/1.00 % (1704480)Termination reason: Instruction limit
% 3.51/1.00 % (1704480)Termination phase: Saturation
% 3.51/1.00 % (1704480)Time elapsed: 0.140 s
% 3.51/1.00 % (1704480)Peak memory usage: 12 MB
% 3.51/1.00 % (1704480)Instructions burned: 200 (million)
% 3.51/1.00 % (1704502)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=450117169:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 3.51/1.00 % (1704503)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=195448013:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 3.51/1.00 % (1704503)Refutation not found, incomplete strategy
% 3.51/1.00 % (1704503)------------------------------
% 3.51/1.00 % (1704503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.12/1.08 % (1704503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.08 % (1704503)CaDiCaL version: 2.1.3
% 5.12/1.08 % (1704503)Termination reason: Refutation not found, incomplete strategy
% 5.12/1.08 % (1704503)Time elapsed: 0.001 s
% 5.12/1.08 % (1704503)Peak memory usage: 11 MB
% 5.12/1.08 % (1704503)------------------------------
% 5.12/1.08 % (1704503)------------------------------
% 5.12/1.08 % (1704504)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3667091177:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 5.12/1.08 % (1704504)Refutation not found, incomplete strategy
% 5.12/1.08 % (1704504)------------------------------
% 5.12/1.08 % (1704504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.12/1.08 % (1704504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.08 % (1704504)CaDiCaL version: 2.1.3
% 5.12/1.08 % (1704504)Termination reason: Refutation not found, incomplete strategy
% 5.12/1.08 % (1704504)Time elapsed: 0.001 s
% 5.12/1.08 % (1704504)Peak memory usage: 11 MB
% 5.12/1.08 % (1704504)------------------------------
% 5.12/1.08 % (1704504)------------------------------
% 5.12/1.08 % (1704496)Instruction limit reached!
% 5.12/1.08 % (1704496)------------------------------
% 5.12/1.08 % (1704496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.12/1.08 % (1704496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.08 % (1704496)CaDiCaL version: 2.1.3
% 5.12/1.08 % (1704496)Termination reason: Instruction limit
% 5.12/1.08 % (1704496)Termination phase: Saturation
% 5.12/1.08 % (1704496)Time elapsed: 0.078 s
% 5.12/1.08 % (1704496)Peak memory usage: 12 MB
% 5.12/1.08 % (1704496)Instructions burned: 182 (million)
% 5.12/1.08 % (1704507)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3555486702:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 5.12/1.08 % (1704507)Refutation not found, incomplete strategy
% 5.12/1.08 % (1704507)------------------------------
% 5.12/1.08 % (1704507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.12/1.08 % (1704507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.08 % (1704507)CaDiCaL version: 2.1.3
% 5.12/1.08 % (1704507)Termination reason: Refutation not found, incomplete strategy
% 5.12/1.08 % (1704507)Time elapsed: 0.001 s
% 5.12/1.08 % (1704507)Peak memory usage: 12 MB
% 5.12/1.08 % (1704507)------------------------------
% 5.12/1.08 % (1704507)------------------------------
% 5.12/1.08 % (1704468)Instruction limit reached!
% 5.12/1.08 % (1704468)------------------------------
% 5.12/1.08 % (1704468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.12/1.08 % (1704468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.08 % (1704468)CaDiCaL version: 2.1.3
% 5.12/1.08 % (1704468)Termination reason: Instruction limit
% 5.12/1.08 % (1704468)Termination phase: Saturation
% 5.12/1.08 % (1704468)Time elapsed: 0.244 s
% 5.12/1.08 % (1704468)Peak memory usage: 13 MB
% 5.12/1.08 % (1704468)Instructions burned: 317 (million)
% 5.12/1.08 % (1704509)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2575305338:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 5.12/1.08 % (1704512)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1173497470:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 5.12/1.08 % (1704509)Refutation not found, incomplete strategy
% 5.12/1.08 % (1704509)------------------------------
% 5.12/1.08 % (1704509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.12/1.08 % (1704509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.08 % (1704509)CaDiCaL version: 2.1.3
% 5.12/1.08 % (1704509)Termination reason: Refutation not found, incomplete strategy
% 5.12/1.08 % (1704509)Time elapsed: 0.002 s
% 5.12/1.08 % (1704509)Peak memory usage: 11 MB
% 5.12/1.08 % (1704509)Instructions burned: 1 (million)
% 5.12/1.08 % (1704512)Refutation not found, incomplete strategy
% 5.12/1.08 % (1704512)------------------------------
% 5.12/1.08 % (1704512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.12/1.08 % (1704512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.08 % (1704512)CaDiCaL version: 2.1.3
% 5.74/1.18 % (1704512)Termination reason: Refutation not found, incomplete strategy
% 5.74/1.18 % (1704512)Time elapsed: 0.001 s
% 5.74/1.18 % (1704512)Peak memory usage: 12 MB
% 5.74/1.18 % (1704512)Instructions burned: 1 (million)
% 5.74/1.18 % (1704509)------------------------------
% 5.74/1.18 % (1704509)------------------------------
% 5.74/1.18 % (1704512)------------------------------
% 5.74/1.18 % (1704512)------------------------------
% 5.74/1.18 % (1704510)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2251174391:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 5.74/1.18 % (1704513)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3105239181:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 5.74/1.18 % (1704516)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=856451611:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/95Mi)
% 5.74/1.18 % (1704502)Instruction limit reached!
% 5.74/1.18 % (1704502)------------------------------
% 5.74/1.18 % (1704502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.74/1.18 % (1704502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.74/1.18 % (1704502)CaDiCaL version: 2.1.3
% 5.74/1.18 % (1704502)Termination reason: Instruction limit
% 5.74/1.18 % (1704502)Termination phase: Saturation
% 5.74/1.18 % (1704502)Time elapsed: 0.079 s
% 5.74/1.18 % (1704502)Peak memory usage: 12 MB
% 5.74/1.18 % (1704502)Instructions burned: 97 (million)
% 5.74/1.18 % (1704517)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=3534567177:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 5.74/1.18 % (1704510)Instruction limit reached!
% 5.74/1.18 % (1704510)------------------------------
% 5.74/1.18 % (1704510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.74/1.18 % (1704510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.74/1.18 % (1704510)CaDiCaL version: 2.1.3
% 5.74/1.18 % (1704510)Termination reason: Instruction limit
% 5.74/1.18 % (1704510)Termination phase: Saturation
% 5.74/1.18 % (1704510)Time elapsed: 0.037 s
% 5.74/1.18 % (1704510)Peak memory usage: 12 MB
% 5.74/1.18 % (1704510)Instructions burned: 44 (million)
% 5.74/1.18 % (1704521)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=3876649182: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)
% 5.74/1.18 % (1704516)Instruction limit reached!
% 5.74/1.18 % (1704516)------------------------------
% 5.74/1.18 % (1704516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.74/1.18 % (1704516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.74/1.18 % (1704516)CaDiCaL version: 2.1.3
% 5.74/1.18 % (1704516)Termination reason: Instruction limit
% 5.74/1.18 % (1704516)Termination phase: Saturation
% 5.74/1.18 % (1704516)Time elapsed: 0.043 s
% 5.74/1.18 % (1704516)Peak memory usage: 12 MB
% 5.74/1.18 % (1704516)Instructions burned: 95 (million)
% 5.74/1.18 % (1704523)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=3430523449: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)
% 5.74/1.18 % (1704523)Refutation not found, incomplete strategy
% 5.74/1.18 % (1704523)------------------------------
% 5.74/1.18 % (1704523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.74/1.18 % (1704523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.74/1.18 % (1704523)CaDiCaL version: 2.1.3
% 5.74/1.18 % (1704523)Termination reason: Refutation not found, incomplete strategy
% 5.74/1.18 % (1704523)Time elapsed: 0.001 s
% 5.74/1.18 % (1704523)Peak memory usage: 12 MB
% 5.74/1.18 % (1704523)------------------------------
% 5.74/1.18 % (1704523)------------------------------
% 5.74/1.18 % (1704517)Instruction limit reached!
% 5.74/1.18 % (1704517)------------------------------
% 5.74/1.18 % (1704517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.74/1.18 % (1704517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.35 % (1704517)CaDiCaL version: 2.1.3
% 6.61/1.35 % (1704517)Termination reason: Instruction limit
% 6.61/1.35 % (1704517)Termination phase: Saturation
% 6.61/1.35 % (1704517)Time elapsed: 0.055 s
% 6.61/1.35 % (1704517)Peak memory usage: 12 MB
% 6.61/1.35 % (1704517)Instructions burned: 65 (million)
% 6.61/1.35 % (1704525)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2870930988:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/375Mi)
% 6.61/1.35 % (1704525)Refutation not found, incomplete strategy
% 6.61/1.35 % (1704525)------------------------------
% 6.61/1.35 % (1704525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.35 % (1704525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.35 % (1704525)CaDiCaL version: 2.1.3
% 6.61/1.35 % (1704525)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.35 % (1704525)Time elapsed: 0.001 s
% 6.61/1.35 % (1704525)Peak memory usage: 11 MB
% 6.61/1.35 % (1704525)------------------------------
% 6.61/1.35 % (1704525)------------------------------
% 6.61/1.35 % (1704527)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=459202502:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/495Mi)
% 6.61/1.35 % (1704528)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=972021002:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 6.61/1.35 % (1704530)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2344627222:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2992 on theBenchmark for (2992ds/91Mi)
% 6.61/1.35 % (1704513)Instruction limit reached!
% 6.61/1.35 % (1704513)------------------------------
% 6.61/1.35 % (1704513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.35 % (1704513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.35 % (1704513)CaDiCaL version: 2.1.3
% 6.61/1.35 % (1704513)Termination reason: Instruction limit
% 6.61/1.35 % (1704513)Termination phase: Saturation
% 6.61/1.35 % (1704513)Time elapsed: 0.142 s
% 6.61/1.35 % (1704513)Peak memory usage: 12 MB
% 6.61/1.35 % (1704513)Instructions burned: 452 (million)
% 6.61/1.35 % (1704521)Instruction limit reached!
% 6.61/1.35 % (1704521)------------------------------
% 6.61/1.35 % (1704521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.35 % (1704521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.35 % (1704521)CaDiCaL version: 2.1.3
% 6.61/1.35 % (1704521)Termination reason: Instruction limit
% 6.61/1.35 % (1704521)Termination phase: Saturation
% 6.61/1.35 % (1704521)Time elapsed: 0.090 s
% 6.61/1.35 % (1704521)Peak memory usage: 13 MB
% 6.61/1.35 % (1704521)Instructions burned: 106 (million)
% 6.61/1.35 % (1704528)Instruction limit reached!
% 6.61/1.35 % (1704528)------------------------------
% 6.61/1.35 % (1704528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.35 % (1704528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.35 % (1704528)CaDiCaL version: 2.1.3
% 6.61/1.35 % (1704528)Termination reason: Instruction limit
% 6.61/1.35 % (1704528)Termination phase: Saturation
% 6.61/1.35 % (1704528)Time elapsed: 0.030 s
% 6.61/1.35 % (1704528)Peak memory usage: 12 MB
% 6.61/1.35 % (1704528)Instructions burned: 35 (million)
% 6.61/1.35 % (1704534)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3594787774: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)
% 6.61/1.35 % (1704534)Refutation not found, incomplete strategy
% 6.61/1.35 % (1704534)------------------------------
% 6.61/1.35 % (1704534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.35 % (1704534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.35 % (1704534)CaDiCaL version: 2.1.3
% 6.61/1.35 % (1704534)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.35 % (1704534)Time elapsed: 0.0000 s
% 6.61/1.35 % (1704534)Peak memory usage: 11 MB
% 6.61/1.35 % (1704534)------------------------------
% 6.61/1.35 % (1704534)------------------------------
% 6.61/1.35 % (1704536)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=2674972628:i=338:bd=all:ins=4:rtra=on_2992 on theBenchmark for (2992ds/338Mi)
% 6.98/1.44 % (1704535)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=376114923:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2992 on theBenchmark for (2992ds/22Mi)
% 6.98/1.44 % (1704530)Instruction limit reached!
% 6.98/1.44 % (1704530)------------------------------
% 6.98/1.44 % (1704530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.44 % (1704530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.44 % (1704530)CaDiCaL version: 2.1.3
% 6.98/1.44 % (1704530)Termination reason: Instruction limit
% 6.98/1.44 % (1704530)Termination phase: Saturation
% 6.98/1.44 % (1704530)Time elapsed: 0.064 s
% 6.98/1.44 % (1704530)Peak memory usage: 12 MB
% 6.98/1.44 % (1704530)Instructions burned: 92 (million)
% 6.98/1.44 % (1704535)Instruction limit reached!
% 6.98/1.44 % (1704535)------------------------------
% 6.98/1.44 % (1704535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.44 % (1704535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.44 % (1704535)CaDiCaL version: 2.1.3
% 6.98/1.44 % (1704535)Termination reason: Instruction limit
% 6.98/1.44 % (1704535)Termination phase: Saturation
% 6.98/1.44 % (1704535)Time elapsed: 0.019 s
% 6.98/1.44 % (1704535)Peak memory usage: 12 MB
% 6.98/1.44 % (1704535)Instructions burned: 22 (million)
% 6.98/1.44 % (1704538)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1745183403:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/28Mi)
% 6.98/1.44 % (1704538)Refutation not found, incomplete strategy
% 6.98/1.44 % (1704538)------------------------------
% 6.98/1.44 % (1704538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.44 % (1704538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.44 % (1704538)CaDiCaL version: 2.1.3
% 6.98/1.44 % (1704538)Termination reason: Refutation not found, incomplete strategy
% 6.98/1.44 % (1704538)Time elapsed: 0.001 s
% 6.98/1.44 % (1704538)Peak memory usage: 12 MB
% 6.98/1.44 % (1704538)------------------------------
% 6.98/1.44 % (1704538)------------------------------
% 6.98/1.44 % (1704541)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.98/1.44 % (1704542)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=661877292:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/340Mi)
% 6.98/1.44 % (1704541)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=1414864549:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2991 on theBenchmark for (2991ds/137Mi)
% 6.98/1.44 % (1704544)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3335035604:i=227:sd=1:bd=all:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/227Mi)
% 6.98/1.44 % (1704544)Refutation not found, incomplete strategy
% 6.98/1.44 % (1704544)------------------------------
% 6.98/1.44 % (1704544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.44 % (1704544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.44 % (1704544)CaDiCaL version: 2.1.3
% 6.98/1.44 % (1704544)Termination reason: Refutation not found, incomplete strategy
% 6.98/1.44 % (1704544)Time elapsed: 0.001 s
% 6.98/1.44 % (1704544)Peak memory usage: 11 MB
% 6.98/1.44 % (1704544)------------------------------
% 6.98/1.44 % (1704544)------------------------------
% 6.98/1.44 % (1704548)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 6.98/1.44 % (1704548)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1520398639:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/373Mi)
% 6.98/1.44 % (1704470)Instruction limit reached!
% 6.98/1.44 % (1704470)------------------------------
% 6.98/1.44 % (1704470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.44 % (1704470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.44 % (1704470)CaDiCaL version: 2.1.3
% 6.98/1.44 % (1704470)Termination reason: Instruction limit
% 6.98/1.44 % (1704470)Termination phase: Saturation
% 6.98/1.44 % (1704470)Time elapsed: 0.535 s
% 6.98/1.44 % (1704470)Peak memory usage: 13 MB
% 6.98/1.50 % (1704470)Instructions burned: 853 (million)
% 6.98/1.50 % (1704550)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=4097935709:i=116:ep=RSTC:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/116Mi)
% 6.98/1.50 % (1704536)Instruction limit reached!
% 6.98/1.50 % (1704536)------------------------------
% 6.98/1.50 % (1704536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.50 % (1704536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.50 % (1704536)CaDiCaL version: 2.1.3
% 6.98/1.50 % (1704536)Termination reason: Instruction limit
% 6.98/1.50 % (1704536)Termination phase: Saturation
% 6.98/1.50 % (1704536)Time elapsed: 0.142 s
% 6.98/1.50 % (1704536)Peak memory usage: 14 MB
% 6.98/1.50 % (1704536)Instructions burned: 339 (million)
% 6.98/1.50 % (1704541)Instruction limit reached!
% 6.98/1.50 % (1704541)------------------------------
% 6.98/1.50 % (1704541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.50 % (1704541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.50 % (1704541)CaDiCaL version: 2.1.3
% 6.98/1.50 % (1704541)Termination reason: Instruction limit
% 6.98/1.50 % (1704541)Termination phase: Saturation
% 6.98/1.50 % (1704541)Time elapsed: 0.104 s
% 6.98/1.50 % (1704541)Peak memory usage: 12 MB
% 6.98/1.50 % (1704541)Instructions burned: 137 (million)
% 6.98/1.50 % (1704552)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2715155052:i=575:rtra=on_2990 on theBenchmark for (2990ds/575Mi)
% 6.98/1.50 % (1704552)Refutation not found, incomplete strategy
% 6.98/1.50 % (1704552)------------------------------
% 6.98/1.50 % (1704552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.50 % (1704552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.50 % (1704552)CaDiCaL version: 2.1.3
% 6.98/1.50 % (1704552)Termination reason: Refutation not found, incomplete strategy
% 6.98/1.50 % (1704552)Time elapsed: 0.001 s
% 6.98/1.50 % (1704552)Peak memory usage: 12 MB
% 6.98/1.50 % (1704552)Instructions burned: 1 (million)
% 6.98/1.50 % (1704552)------------------------------
% 6.98/1.50 % (1704552)------------------------------
% 6.98/1.50 % (1704554)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1513256422: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)
% 6.98/1.50 % (1704555)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=4102298356: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)
% 6.98/1.50 % (1704550)Instruction limit reached!
% 6.98/1.50 % (1704550)------------------------------
% 6.98/1.50 % (1704550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.50 % (1704550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.50 % (1704550)CaDiCaL version: 2.1.3
% 6.98/1.50 % (1704550)Termination reason: Instruction limit
% 6.98/1.50 % (1704550)Termination phase: Saturation
% 6.98/1.50 % (1704550)Time elapsed: 0.080 s
% 6.98/1.50 % (1704550)Peak memory usage: 12 MB
% 6.98/1.50 % (1704550)Instructions burned: 117 (million)
% 6.98/1.50 % (1704558)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3011425189:i=421:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/421Mi)
% 6.98/1.50 % (1704558)Refutation not found, incomplete strategy
% 6.98/1.50 % (1704558)------------------------------
% 6.98/1.50 % (1704558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.98/1.50 % (1704558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.98/1.50 % (1704558)CaDiCaL version: 2.1.3
% 6.98/1.50 % (1704558)Termination reason: Refutation not found, incomplete strategy
% 6.98/1.50 % (1704558)Time elapsed: 0.001 s
% 6.98/1.50 % (1704558)Peak memory usage: 11 MB
% 6.98/1.50 % (1704558)------------------------------
% 6.98/1.50 % (1704558)------------------------------
% 6.98/1.50 % (1704560)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
% 6.98/1.50 % (1704560)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=1336630761:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/270Mi)
% 7.81/1.57 % (1704554)Instruction limit reached!
% 7.81/1.57 % (1704554)------------------------------
% 7.81/1.57 % (1704554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/1.57 % (1704554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.57 % (1704554)CaDiCaL version: 2.1.3
% 7.81/1.57 % (1704554)Termination reason: Instruction limit
% 7.81/1.57 % (1704554)Termination phase: Saturation
% 7.81/1.57 % (1704554)Time elapsed: 0.107 s
% 7.81/1.57 % (1704554)Peak memory usage: 13 MB
% 7.81/1.57 % (1704554)Instructions burned: 271 (million)
% 7.81/1.57 % (1704527)Instruction limit reached!
% 7.81/1.57 % (1704527)------------------------------
% 7.81/1.57 % (1704527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/1.57 % (1704527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.57 % (1704527)CaDiCaL version: 2.1.3
% 7.81/1.57 % (1704527)Termination reason: Instruction limit
% 7.81/1.57 % (1704527)Termination phase: Saturation
% 7.81/1.57 % (1704527)Time elapsed: 0.374 s
% 7.81/1.57 % (1704527)Peak memory usage: 13 MB
% 7.81/1.57 % (1704527)Instructions burned: 495 (million)
% 7.81/1.57 % (1704562)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=660777480:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/31Mi)
% 7.81/1.57 % (1704563)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 7.81/1.57 % (1704563)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
% 7.81/1.57 % (1704542)Instruction limit reached!
% 7.81/1.57 % (1704542)------------------------------
% 7.81/1.57 % (1704542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/1.57 % (1704542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.57 % (1704542)CaDiCaL version: 2.1.3
% 7.81/1.57 % (1704542)Termination reason: Instruction limit
% 7.81/1.57 % (1704542)Termination phase: Saturation
% 7.81/1.57 % (1704542)Time elapsed: 0.267 s
% 7.81/1.57 % (1704542)Peak memory usage: 13 MB
% 7.81/1.57 % (1704542)Instructions burned: 341 (million)
% 7.81/1.57 % (1704563)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=1183324276:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2989 on theBenchmark for (2989ds/1440Mi)
% 7.81/1.57 % (1704562)Instruction limit reached!
% 7.81/1.57 % (1704562)------------------------------
% 7.81/1.57 % (1704562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/1.57 % (1704562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.57 % (1704562)CaDiCaL version: 2.1.3
% 7.81/1.57 % (1704562)Termination reason: Instruction limit
% 7.81/1.57 % (1704562)Termination phase: Saturation
% 7.81/1.57 % (1704562)Time elapsed: 0.028 s
% 7.81/1.57 % (1704562)Peak memory usage: 12 MB
% 7.81/1.57 % (1704562)Instructions burned: 32 (million)
% 7.81/1.57 % (1704566)dis+10_2_sil=128000:si=on:random_seed=1347960941:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2988 on theBenchmark for (2988ds/339Mi)
% 7.81/1.57 % (1704566)Refutation not found, incomplete strategy
% 7.81/1.57 % (1704566)------------------------------
% 7.81/1.57 % (1704566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/1.57 % (1704566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.57 % (1704566)CaDiCaL version: 2.1.3
% 7.81/1.57 % (1704566)Termination reason: Refutation not found, incomplete strategy
% 7.81/1.57 % (1704566)Time elapsed: 0.0000 s
% 7.81/1.57 % (1704566)Peak memory usage: 11 MB
% 7.81/1.57 % (1704566)------------------------------
% 7.81/1.57 % (1704566)------------------------------
% 7.81/1.57 % (1704451)Instruction limit reached!
% 7.81/1.57 % (1704451)------------------------------
% 7.81/1.57 % (1704451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/1.57 % (1704451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/1.57 % (1704451)CaDiCaL version: 2.1.3
% 7.81/1.57 % (1704451)Termination reason: Instruction limit
% 7.81/1.57 % (1704451)Termination phase: Saturation
% 8.48/1.74 % (1704451)Time elapsed: 0.854 s
% 8.48/1.74 % (1704451)Peak memory usage: 13 MB
% 8.48/1.74 % (1704451)Instructions burned: 1241 (million)
% 8.48/1.74 % (1704548)Instruction limit reached!
% 8.48/1.74 % (1704548)------------------------------
% 8.48/1.74 % (1704548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.48/1.74 % (1704548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.48/1.74 % (1704548)CaDiCaL version: 2.1.3
% 8.48/1.74 % (1704548)Termination reason: Instruction limit
% 8.48/1.74 % (1704548)Termination phase: Saturation
% 8.48/1.74 % (1704548)Time elapsed: 0.282 s
% 8.48/1.74 % (1704548)Peak memory usage: 13 MB
% 8.48/1.74 % (1704548)Instructions burned: 374 (million)
% 8.48/1.74 % (1704567)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=2909811414:i=111:add=on:fgj=on:rtra=on:fdi=1024_2988 on theBenchmark for (2988ds/111Mi)
% 8.48/1.74 % (1704570)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=596482287:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/136Mi)
% 8.48/1.74 % (1704570)Refutation not found, incomplete strategy
% 8.48/1.74 % (1704570)------------------------------
% 8.48/1.74 % (1704570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.48/1.74 % (1704570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.48/1.74 % (1704570)CaDiCaL version: 2.1.3
% 8.48/1.74 % (1704570)Termination reason: Refutation not found, incomplete strategy
% 8.48/1.74 % (1704570)Time elapsed: 0.001 s
% 8.48/1.74 % (1704570)Peak memory usage: 12 MB
% 8.48/1.74 % (1704569)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=2078344278:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/122Mi)
% 8.48/1.74 % (1704569)Refutation not found, incomplete strategy
% 8.48/1.74 % (1704569)------------------------------
% 8.48/1.74 % (1704569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.48/1.74 % (1704569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.48/1.74 % (1704569)CaDiCaL version: 2.1.3
% 8.48/1.74 % (1704569)Termination reason: Refutation not found, incomplete strategy
% 8.48/1.74 % (1704569)Time elapsed: 0.001 s
% 8.48/1.74 % (1704569)Peak memory usage: 11 MB
% 8.48/1.74 % (1704569)------------------------------
% 8.48/1.74 % (1704569)------------------------------
% 8.48/1.74 % (1704570)Instructions burned: 1 (million)
% 8.48/1.74 % (1704570)------------------------------
% 8.48/1.74 % (1704570)------------------------------
% 8.48/1.74 % (1704571)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=686505169:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2988 on theBenchmark for (2988ds/232Mi)
% 8.48/1.74 % (1704571)Refutation not found, incomplete strategy
% 8.48/1.74 % (1704571)------------------------------
% 8.48/1.74 % (1704571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.48/1.74 % (1704571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.48/1.74 % (1704571)CaDiCaL version: 2.1.3
% 8.48/1.74 % (1704571)Termination reason: Refutation not found, incomplete strategy
% 8.48/1.74 % (1704571)Time elapsed: 0.001 s
% 8.48/1.74 % (1704571)Peak memory usage: 11 MB
% 8.48/1.74 % (1704571)------------------------------
% 8.48/1.74 % (1704571)------------------------------
% 8.48/1.74 % (1704576)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 8.48/1.74 % (1704575)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=3165730013:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2988 on theBenchmark for (2988ds/1254Mi)
% 8.48/1.74 % (1704576)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=4293788357:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2988 on theBenchmark for (2988ds/281Mi)
% 8.48/1.74 % (1704575)Refutation not found, incomplete strategy
% 8.48/1.74 % (1704575)------------------------------
% 8.48/1.74 % (1704575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.48/1.74 % (1704575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/1.86 % (1704575)CaDiCaL version: 2.1.3
% 9.13/1.86 % (1704575)Termination reason: Refutation not found, incomplete strategy
% 9.13/1.86 % (1704575)Time elapsed: 0.003 s
% 9.13/1.86 % (1704575)Peak memory usage: 12 MB
% 9.13/1.86 % (1704575)Instructions burned: 2 (million)
% 9.13/1.86 % (1704575)------------------------------
% 9.13/1.86 % (1704575)------------------------------
% 9.13/1.86 % (1704578)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3871574919:i=619:add=on:rtra=on_2988 on theBenchmark for (2988ds/619Mi)
% 9.13/1.86 % (1704578)Refutation not found, incomplete strategy
% 9.13/1.86 % (1704578)------------------------------
% 9.13/1.86 % (1704578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.13/1.86 % (1704578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/1.86 % (1704578)CaDiCaL version: 2.1.3
% 9.13/1.86 % (1704578)Termination reason: Refutation not found, incomplete strategy
% 9.13/1.86 % (1704578)Time elapsed: 0.004 s
% 9.13/1.86 % (1704578)Peak memory usage: 12 MB
% 9.13/1.86 % (1704578)Instructions burned: 2 (million)
% 9.13/1.86 % (1704578)------------------------------
% 9.13/1.86 % (1704578)------------------------------
% 9.13/1.86 % (1704560)Instruction limit reached!
% 9.13/1.86 % (1704560)------------------------------
% 9.13/1.86 % (1704560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.13/1.86 % (1704560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/1.86 % (1704560)CaDiCaL version: 2.1.3
% 9.13/1.86 % (1704560)Termination reason: Instruction limit
% 9.13/1.86 % (1704560)Termination phase: Saturation
% 9.13/1.86 % (1704560)Time elapsed: 0.167 s
% 9.13/1.86 % (1704560)Peak memory usage: 12 MB
% 9.13/1.86 % (1704560)Instructions burned: 270 (million)
% 9.13/1.86 % (1704581)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=2303360971:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/865Mi)
% 9.13/1.86 % (1704584)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=2635920839:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/130Mi)
% 9.13/1.86 % (1704584)Refutation not found, incomplete strategy
% 9.13/1.86 % (1704584)------------------------------
% 9.13/1.86 % (1704584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.13/1.86 % (1704584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/1.86 % (1704584)CaDiCaL version: 2.1.3
% 9.13/1.86 % (1704584)Termination reason: Refutation not found, incomplete strategy
% 9.13/1.86 % (1704584)Time elapsed: 0.001 s
% 9.13/1.86 % (1704584)Peak memory usage: 12 MB
% 9.13/1.86 % (1704584)------------------------------
% 9.13/1.86 % (1704584)------------------------------
% 9.13/1.86 % (1704583)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1313079127:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/212Mi)
% 9.13/1.86 % (1704583)Refutation not found, incomplete strategy
% 9.13/1.86 % (1704583)------------------------------
% 9.13/1.86 % (1704583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.13/1.86 % (1704583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/1.86 % (1704583)CaDiCaL version: 2.1.3
% 9.13/1.86 % (1704583)Termination reason: Refutation not found, incomplete strategy
% 9.13/1.86 % (1704583)Time elapsed: 0.001 s
% 9.13/1.86 % (1704583)Peak memory usage: 11 MB
% 9.13/1.86 % (1704567)Instruction limit reached!
% 9.13/1.86 % (1704567)------------------------------
% 9.13/1.86 % (1704567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.13/1.86 % (1704567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.13/1.86 % (1704567)CaDiCaL version: 2.1.3
% 9.13/1.86 % (1704567)Termination reason: Instruction limit
% 9.13/1.86 % (1704567)Termination phase: Saturation
% 9.13/1.86 % (1704567)Time elapsed: 0.088 s
% 9.13/1.86 % (1704567)Peak memory usage: 12 MB
% 9.13/1.86 % (1704567)Instructions burned: 111 (million)
% 9.13/1.86 % (1704583)------------------------------
% 9.13/1.86 % (1704583)------------------------------
% 9.13/1.86 % (1704589)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=169796219:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/152Mi)
% 9.13/1.86 % (1704587)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3710624430:st=1.5:i=346:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/346Mi)
% 12.88/2.16 % (1704587)Refutation not found, incomplete strategy
% 12.88/2.16 % (1704587)------------------------------
% 12.88/2.16 % (1704587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.88/2.16 % (1704587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/2.16 % (1704587)CaDiCaL version: 2.1.3
% 12.88/2.16 % (1704587)Termination reason: Refutation not found, incomplete strategy
% 12.88/2.16 % (1704587)Time elapsed: 0.002 s
% 12.88/2.16 % (1704587)Peak memory usage: 11 MB
% 12.88/2.16 % (1704587)Instructions burned: 1 (million)
% 12.88/2.16 % (1704587)------------------------------
% 12.88/2.16 % (1704587)------------------------------
% 12.88/2.16 % (1704590)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3502970283:i=75:ep=R:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/75Mi)
% 12.88/2.16 % (1704593)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=180771139:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/387Mi)
% 12.88/2.16 % (1704593)Refutation not found, incomplete strategy
% 12.88/2.16 % (1704593)------------------------------
% 12.88/2.16 % (1704593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.88/2.16 % (1704593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/2.16 % (1704593)CaDiCaL version: 2.1.3
% 12.88/2.16 % (1704593)Termination reason: Refutation not found, incomplete strategy
% 12.88/2.16 % (1704593)Time elapsed: 0.002 s
% 12.88/2.16 % (1704593)Peak memory usage: 11 MB
% 12.88/2.16 % (1704593)Instructions burned: 1 (million)
% 12.88/2.16 % (1704593)------------------------------
% 12.88/2.16 % (1704593)------------------------------
% 12.88/2.16 % (1704596)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=2912952668:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2986 on theBenchmark for (2986ds/148Mi)
% 12.88/2.16 % (1704590)Instruction limit reached!
% 12.88/2.16 % (1704590)------------------------------
% 12.88/2.16 % (1704590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.88/2.16 % (1704590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/2.16 % (1704590)CaDiCaL version: 2.1.3
% 12.88/2.16 % (1704590)Termination reason: Instruction limit
% 12.88/2.16 % (1704590)Termination phase: Saturation
% 12.88/2.16 % (1704590)Time elapsed: 0.064 s
% 12.88/2.16 % (1704590)Peak memory usage: 12 MB
% 12.88/2.16 % (1704590)Instructions burned: 76 (million)
% 12.88/2.16 % (1704589)Instruction limit reached!
% 12.88/2.16 % (1704589)------------------------------
% 12.88/2.16 % (1704589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.88/2.16 % (1704589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/2.16 % (1704589)CaDiCaL version: 2.1.3
% 12.88/2.16 % (1704589)Termination reason: Instruction limit
% 12.88/2.16 % (1704589)Termination phase: Saturation
% 12.88/2.16 % (1704589)Time elapsed: 0.092 s
% 12.88/2.16 % (1704589)Peak memory usage: 13 MB
% 12.88/2.16 % (1704589)Instructions burned: 152 (million)
% 12.88/2.16 % (1704599)lrs+10_1_sil=128000:si=on:random_seed=2294674336:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/888Mi)
% 12.88/2.16 % (1704599)Refutation not found, incomplete strategy
% 12.88/2.16 % (1704599)------------------------------
% 12.88/2.16 % (1704599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.88/2.16 % (1704599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.88/2.16 % (1704599)CaDiCaL version: 2.1.3
% 12.88/2.16 % (1704599)Termination reason: Refutation not found, incomplete strategy
% 12.88/2.16 % (1704599)Time elapsed: 0.001 s
% 12.88/2.16 % (1704599)Peak memory usage: 11 MB
% 12.88/2.16 % (1704598)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=471940688:i=161:piset=and:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/161Mi)
% 12.88/2.16 % (1704599)------------------------------
% 12.88/2.16 % (1704599)------------------------------
% 12.88/2.16 % (1704602)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=2963119795:i=136:add=on:ins=4:rtra=on:sup=off_2986 on theBenchmark for (2986ds/136Mi)
% 12.88/2.16 % (1704576)Instruction limit reached!
% 12.88/2.16 % (1704576)------------------------------
% 12.88/2.16 % (1704576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.13/2.41 % (1704576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.13/2.41 % (1704576)CaDiCaL version: 2.1.3
% 14.13/2.41 % (1704576)Termination reason: Instruction limit
% 14.13/2.41 % (1704576)Termination phase: Saturation
% 14.13/2.41 % (1704576)Time elapsed: 0.243 s
% 14.13/2.41 % (1704576)Peak memory usage: 13 MB
% 14.13/2.41 % (1704576)Instructions burned: 282 (million)
% 14.13/2.41 % (1704596)Instruction limit reached!
% 14.13/2.41 % (1704596)------------------------------
% 14.13/2.41 % (1704596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.13/2.41 % (1704596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.13/2.41 % (1704596)CaDiCaL version: 2.1.3
% 14.13/2.41 % (1704596)Termination reason: Instruction limit
% 14.13/2.41 % (1704596)Termination phase: Saturation
% 14.13/2.41 % (1704596)Time elapsed: 0.114 s
% 14.13/2.41 % (1704596)Peak memory usage: 12 MB
% 14.13/2.41 % (1704596)Instructions burned: 148 (million)
% 14.13/2.41 % (1704602)Instruction limit reached!
% 14.13/2.41 % (1704602)------------------------------
% 14.13/2.41 % (1704602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.13/2.41 % (1704602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.13/2.41 % (1704602)CaDiCaL version: 2.1.3
% 14.13/2.41 % (1704602)Termination reason: Instruction limit
% 14.13/2.41 % (1704602)Termination phase: Saturation
% 14.13/2.41 % (1704602)Time elapsed: 0.067 s
% 14.13/2.41 % (1704602)Peak memory usage: 12 MB
% 14.13/2.41 % (1704602)Instructions burned: 137 (million)
% 14.13/2.41 % (1704604)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=3220994868:i=88:s2at=3:nm=2:rtra=on:rawr=on_2985 on theBenchmark for (2985ds/88Mi)
% 14.13/2.41 % (1704605)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2622421016:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2985 on theBenchmark for (2985ds/93Mi)
% 14.13/2.41 % (1704598)Instruction limit reached!
% 14.13/2.41 % (1704598)------------------------------
% 14.13/2.41 % (1704598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.13/2.41 % (1704598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.13/2.41 % (1704598)CaDiCaL version: 2.1.3
% 14.13/2.41 % (1704598)Termination reason: Instruction limit
% 14.13/2.41 % (1704598)Termination phase: Saturation
% 14.13/2.41 % (1704598)Time elapsed: 0.104 s
% 14.13/2.41 % (1704598)Peak memory usage: 12 MB
% 14.13/2.41 % (1704598)Instructions burned: 161 (million)
% 14.13/2.41 % (1704606)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3280842220:i=2186:rtra=on:ixr=off_2985 on theBenchmark for (2985ds/2186Mi)
% 14.13/2.41 % (1704610)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=782030408:s2a=on:i=240:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/240Mi)
% 14.13/2.41 % (1704604)Instruction limit reached!
% 14.13/2.41 % (1704604)------------------------------
% 14.13/2.41 % (1704604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.13/2.41 % (1704604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.13/2.41 % (1704604)CaDiCaL version: 2.1.3
% 14.13/2.41 % (1704604)Termination reason: Instruction limit
% 14.13/2.41 % (1704604)Termination phase: Saturation
% 14.13/2.41 % (1704604)Time elapsed: 0.067 s
% 14.13/2.41 % (1704604)Peak memory usage: 13 MB
% 14.13/2.41 % (1704604)Instructions burned: 88 (million)
% 14.13/2.41 % (1704563)Instruction limit reached!
% 14.13/2.41 % (1704563)------------------------------
% 14.13/2.41 % (1704563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.13/2.41 % (1704563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.13/2.41 % (1704563)CaDiCaL version: 2.1.3
% 14.13/2.41 % (1704563)Termination reason: Instruction limit
% 14.13/2.41 % (1704563)Termination phase: Saturation
% 14.13/2.41 % (1704563)Time elapsed: 0.446 s
% 14.13/2.41 % (1704563)Peak memory usage: 13 MB
% 14.13/2.41 % (1704563)Instructions burned: 1443 (million)
% 14.13/2.41 % (1704605)Instruction limit reached!
% 14.13/2.41 % (1704605)------------------------------
% 14.13/2.41 % (1704605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.13/2.41 % (1704605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.13/2.41 % (1704605)CaDiCaL version: 2.1.3
% 14.13/2.41 % (1704605)Termination reason: Instruction limit
% 15.26/2.53 % (1704605)Termination phase: Saturation
% 15.26/2.53 % (1704605)Time elapsed: 0.079 s
% 15.26/2.53 % (1704605)Peak memory usage: 12 MB
% 15.26/2.53 % (1704605)Instructions burned: 97 (million)
% 15.26/2.53 % (1704612)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=494246933:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2984 on theBenchmark for (2984ds/805Mi)
% 15.26/2.53 % (1704613)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 15.26/2.53 % (1704613)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=1898272830:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2984 on theBenchmark for (2984ds/391Mi)
% 15.26/2.53 % (1704613)Refutation not found, incomplete strategy
% 15.26/2.53 % (1704613)------------------------------
% 15.26/2.53 % (1704613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.26/2.53 % (1704613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/2.53 % (1704613)CaDiCaL version: 2.1.3
% 15.26/2.53 % (1704613)Termination reason: Refutation not found, incomplete strategy
% 15.26/2.53 % (1704613)Time elapsed: 0.001 s
% 15.26/2.53 % (1704613)Peak memory usage: 11 MB
% 15.26/2.53 % (1704613)Instructions burned: 1 (million)
% 15.26/2.53 % (1704613)------------------------------
% 15.26/2.53 % (1704613)------------------------------
% 15.26/2.53 % (1704614)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=2069299122:i=355:av=off:fsr=off:rtra=on:ixr=off_2984 on theBenchmark for (2984ds/355Mi)
% 15.26/2.53 % (1704617)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=1633358465:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/314Mi)
% 15.26/2.53 % (1704617)Refutation not found, incomplete strategy
% 15.26/2.53 % (1704617)------------------------------
% 15.26/2.53 % (1704617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.26/2.53 % (1704617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/2.53 % (1704617)CaDiCaL version: 2.1.3
% 15.26/2.53 % (1704617)Termination reason: Refutation not found, incomplete strategy
% 15.26/2.53 % (1704617)Time elapsed: 0.0000 s
% 15.26/2.53 % (1704617)Peak memory usage: 11 MB
% 15.26/2.53 % (1704617)------------------------------
% 15.26/2.53 % (1704617)------------------------------
% 15.26/2.53 % (1704620)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2884561556:s2a=on:i=251:fsr=off:rtra=on_2984 on theBenchmark for (2984ds/251Mi)
% 15.26/2.53 % (1704610)Instruction limit reached!
% 15.26/2.53 % (1704610)------------------------------
% 15.26/2.53 % (1704610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.26/2.53 % (1704610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/2.53 % (1704610)CaDiCaL version: 2.1.3
% 15.26/2.53 % (1704610)Termination reason: Instruction limit
% 15.26/2.53 % (1704610)Termination phase: Saturation
% 15.26/2.53 % (1704610)Time elapsed: 0.157 s
% 15.26/2.53 % (1704610)Peak memory usage: 13 MB
% 15.26/2.53 % (1704610)Instructions burned: 241 (million)
% 15.26/2.53 % (1704622)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=968019661: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_2983 on theBenchmark for (2983ds/2470Mi)
% 15.26/2.53 % (1704620)Instruction limit reached!
% 15.26/2.53 % (1704620)------------------------------
% 15.26/2.53 % (1704620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.26/2.53 % (1704620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.26/2.53 % (1704620)CaDiCaL version: 2.1.3
% 15.26/2.53 % (1704620)Termination reason: Instruction limit
% 15.26/2.53 % (1704620)Termination phase: Saturation
% 15.26/2.53 % (1704620)Time elapsed: 0.141 s
% 15.26/2.53 % (1704620)Peak memory usage: 12 MB
% 15.26/2.53 % (1704620)Instructions burned: 252 (million)
% 15.26/2.53 % (1704624)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=1176681913:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2982 on theBenchmark for (2982ds/673Mi)
% 15.26/2.53 % (1704614)Instruction limit reached!
% 15.26/2.53 % (1704614)------------------------------
% 16.70/2.83 % (1704614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.70/2.83 % (1704614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.70/2.83 % (1704614)CaDiCaL version: 2.1.3
% 16.70/2.83 % (1704614)Termination reason: Instruction limit
% 16.70/2.83 % (1704614)Termination phase: Saturation
% 16.70/2.83 % (1704614)Time elapsed: 0.271 s
% 16.70/2.83 % (1704614)Peak memory usage: 12 MB
% 16.70/2.83 % (1704614)Instructions burned: 355 (million)
% 16.70/2.83 % (1704581)Instruction limit reached!
% 16.70/2.83 % (1704581)------------------------------
% 16.70/2.83 % (1704581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.70/2.83 % (1704581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.70/2.83 % (1704581)CaDiCaL version: 2.1.3
% 16.70/2.83 % (1704581)Termination reason: Instruction limit
% 16.70/2.83 % (1704581)Termination phase: Saturation
% 16.70/2.83 % (1704581)Time elapsed: 0.642 s
% 16.70/2.83 % (1704581)Peak memory usage: 15 MB
% 16.70/2.83 % (1704581)Instructions burned: 866 (million)
% 16.70/2.83 % (1704627)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1424913013:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2981 on theBenchmark for (2981ds/270Mi)
% 16.70/2.83 % (1704626)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1310499472:i=116:ep=RSTC:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/116Mi)
% 16.70/2.83 % (1704626)Instruction limit reached!
% 16.70/2.83 % (1704626)------------------------------
% 16.70/2.83 % (1704626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.70/2.83 % (1704626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.70/2.83 % (1704626)CaDiCaL version: 2.1.3
% 16.70/2.83 % (1704626)Termination reason: Instruction limit
% 16.70/2.83 % (1704626)Termination phase: Saturation
% 16.70/2.83 % (1704626)Time elapsed: 0.079 s
% 16.70/2.83 % (1704626)Peak memory usage: 12 MB
% 16.70/2.83 % (1704626)Instructions burned: 116 (million)
% 16.70/2.83 % (1704630)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=776184916: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)
% 16.70/2.83 % (1704630)Instruction limit reached!
% 16.70/2.83 % (1704630)------------------------------
% 16.70/2.83 % (1704630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.70/2.83 % (1704630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.70/2.83 % (1704630)CaDiCaL version: 2.1.3
% 16.70/2.83 % (1704630)Termination reason: Instruction limit
% 16.70/2.83 % (1704630)Termination phase: Saturation
% 16.70/2.83 % (1704630)Time elapsed: 0.021 s
% 16.70/2.83 % (1704630)Peak memory usage: 12 MB
% 16.70/2.83 % (1704630)Instructions burned: 30 (million)
% 16.70/2.83 % (1704632)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 16.70/2.83 % (1704632)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=4225669053:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2979 on theBenchmark for (2979ds/39Mi)
% 16.70/2.83 % (1704632)Instruction limit reached!
% 16.70/2.83 % (1704632)------------------------------
% 16.70/2.83 % (1704632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.70/2.83 % (1704632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.70/2.83 % (1704632)CaDiCaL version: 2.1.3
% 16.70/2.83 % (1704632)Termination reason: Instruction limit
% 16.70/2.83 % (1704632)Termination phase: Saturation
% 16.70/2.83 % (1704632)Time elapsed: 0.021 s
% 16.70/2.83 % (1704632)Peak memory usage: 12 MB
% 16.70/2.83 % (1704632)Instructions burned: 40 (million)
% 16.70/2.83 % (1704634)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=698207563:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2979 on theBenchmark for (2979ds/365Mi)
% 16.70/2.83 % (1704627)Instruction limit reached!
% 16.70/2.83 % (1704627)------------------------------
% 16.70/2.83 % (1704627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.70/2.83 % (1704627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.70/2.83 % (1704627)CaDiCaL version: 2.1.3
% 16.70/2.83 % (1704627)Termination reason: Instruction limit
% 17.56/3.02 % (1704627)Termination phase: Saturation
% 17.56/3.02 % (1704627)Time elapsed: 0.211 s
% 17.56/3.02 % (1704627)Peak memory usage: 12 MB
% 17.56/3.02 % (1704627)Instructions burned: 270 (million)
% 17.56/3.02 % (1704636)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2757318927:i=158:av=off:rtra=on_2978 on theBenchmark for (2978ds/158Mi)
% 17.56/3.02 % (1704612)Instruction limit reached!
% 17.56/3.02 % (1704612)------------------------------
% 17.56/3.02 % (1704612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.56/3.02 % (1704612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/3.02 % (1704612)CaDiCaL version: 2.1.3
% 17.56/3.02 % (1704612)Termination reason: Instruction limit
% 17.56/3.02 % (1704612)Termination phase: Saturation
% 17.56/3.02 % (1704612)Time elapsed: 0.582 s
% 17.56/3.02 % (1704612)Peak memory usage: 13 MB
% 17.56/3.02 % (1704612)Instructions burned: 805 (million)
% 17.56/3.02 % (1704624)Instruction limit reached!
% 17.56/3.02 % (1704624)------------------------------
% 17.56/3.02 % (1704624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.56/3.02 % (1704624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/3.02 % (1704624)CaDiCaL version: 2.1.3
% 17.56/3.02 % (1704624)Termination reason: Instruction limit
% 17.56/3.02 % (1704624)Termination phase: Saturation
% 17.56/3.02 % (1704624)Time elapsed: 0.386 s
% 17.56/3.02 % (1704624)Peak memory usage: 13 MB
% 17.56/3.02 % (1704624)Instructions burned: 674 (million)
% 17.56/3.02 % (1704638)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
% 17.56/3.02 % (1704638)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=3349702752:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/252Mi)
% 17.56/3.02 % (1704639)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=616893457:i=213:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/213Mi)
% 17.56/3.02 % (1704639)Refutation not found, incomplete strategy
% 17.56/3.02 % (1704639)------------------------------
% 17.56/3.02 % (1704639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.56/3.02 % (1704639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/3.02 % (1704639)CaDiCaL version: 2.1.3
% 17.56/3.02 % (1704639)Termination reason: Refutation not found, incomplete strategy
% 17.56/3.02 % (1704639)Time elapsed: 0.001 s
% 17.56/3.02 % (1704639)Peak memory usage: 11 MB
% 17.56/3.02 % (1704636)Instruction limit reached!
% 17.56/3.02 % (1704636)------------------------------
% 17.56/3.02 % (1704636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.56/3.02 % (1704636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/3.02 % (1704636)CaDiCaL version: 2.1.3
% 17.56/3.02 % (1704636)Termination reason: Instruction limit
% 17.56/3.02 % (1704636)Termination phase: Saturation
% 17.56/3.02 % (1704636)Time elapsed: 0.071 s
% 17.56/3.02 % (1704636)Peak memory usage: 12 MB
% 17.56/3.02 % (1704636)Instructions burned: 160 (million)
% 17.56/3.02 % (1704639)------------------------------
% 17.56/3.02 % (1704639)------------------------------
% 17.56/3.02 % (1704642)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=4247789108:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2978 on theBenchmark for (2978ds/160Mi)
% 17.56/3.02 % (1704642)Refutation not found, incomplete strategy
% 17.56/3.02 % (1704642)------------------------------
% 17.56/3.02 % (1704642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.56/3.02 % (1704642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.56/3.02 % (1704642)CaDiCaL version: 2.1.3
% 17.56/3.02 % (1704642)Termination reason: Refutation not found, incomplete strategy
% 17.56/3.02 % (1704642)Time elapsed: 0.001 s
% 17.56/3.02 % (1704642)Peak memory usage: 11 MB
% 17.56/3.02 % (1704642)------------------------------
% 17.56/3.02 % (1704642)------------------------------
% 17.56/3.02 % (1704643)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=197933763:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/763Mi)
% 17.56/3.02 % (1704645)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 19.15/3.11 % (1704645)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=3605378659: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)
% 19.15/3.11 % (1704645)Refutation not found, incomplete strategy
% 19.15/3.11 % (1704645)------------------------------
% 19.15/3.11 % (1704645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.15/3.11 % (1704645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.15/3.11 % (1704645)CaDiCaL version: 2.1.3
% 19.15/3.11 % (1704645)Termination reason: Refutation not found, incomplete strategy
% 19.15/3.11 % (1704645)Time elapsed: 0.0000 s
% 19.15/3.11 % (1704645)Peak memory usage: 11 MB
% 19.15/3.11 % (1704645)------------------------------
% 19.15/3.11 % (1704645)------------------------------
% 19.15/3.11 % (1704648)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=666846312:s2a=on:i=386:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/386Mi)
% 19.15/3.11 % (1704634)Instruction limit reached!
% 19.15/3.11 % (1704634)------------------------------
% 19.15/3.11 % (1704634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.15/3.11 % (1704634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.15/3.11 % (1704634)CaDiCaL version: 2.1.3
% 19.15/3.11 % (1704634)Termination reason: Instruction limit
% 19.15/3.11 % (1704634)Termination phase: Saturation
% 19.15/3.11 % (1704634)Time elapsed: 0.237 s
% 19.15/3.11 % (1704634)Peak memory usage: 13 MB
% 19.15/3.11 % (1704634)Instructions burned: 365 (million)
% 19.15/3.11 % (1704650)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=1388287813:i=300:piset=and:nm=32:rtra=on_2976 on theBenchmark for (2976ds/300Mi)
% 19.15/3.11 % (1704638)Instruction limit reached!
% 19.15/3.11 % (1704638)------------------------------
% 19.15/3.11 % (1704638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.15/3.11 % (1704638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.15/3.11 % (1704638)CaDiCaL version: 2.1.3
% 19.15/3.11 % (1704638)Termination reason: Instruction limit
% 19.15/3.11 % (1704638)Termination phase: Saturation
% 19.15/3.11 % (1704638)Time elapsed: 0.173 s
% 19.15/3.11 % (1704638)Peak memory usage: 12 MB
% 19.15/3.11 % (1704638)Instructions burned: 253 (million)
% 19.15/3.11 % (1704652)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=3514470945:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/567Mi)
% 19.15/3.11 % (1704652)Refutation not found, incomplete strategy
% 19.15/3.11 % (1704652)------------------------------
% 19.15/3.11 % (1704652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.15/3.11 % (1704652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.15/3.11 % (1704652)CaDiCaL version: 2.1.3
% 19.15/3.11 % (1704652)Termination reason: Refutation not found, incomplete strategy
% 19.15/3.11 % (1704652)Time elapsed: 0.001 s
% 19.15/3.11 % (1704652)Peak memory usage: 11 MB
% 19.15/3.11 % (1704652)Instructions burned: 1 (million)
% 19.15/3.11 % (1704652)------------------------------
% 19.15/3.11 % (1704652)------------------------------
% 19.15/3.11 % (1704654)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=3706373713:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2976 on theBenchmark for (2976ds/379Mi)
% 19.15/3.11 % (1704654)Refutation not found, incomplete strategy
% 19.15/3.11 % (1704654)------------------------------
% 19.15/3.11 % (1704654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.15/3.11 % (1704654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.15/3.11 % (1704654)CaDiCaL version: 2.1.3
% 19.15/3.11 % (1704654)Termination reason: Refutation not found, incomplete strategy
% 19.15/3.11 % (1704654)Time elapsed: 0.001 s
% 19.15/3.11 % (1704654)Peak memory usage: 11 MB
% 19.15/3.11 % (1704654)------------------------------
% 19.15/3.11 % (1704654)------------------------------
% 19.15/3.11 % (1704656)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1004027510:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2975 on theBenchmark for (2975ds/429Mi)
% 19.15/3.11 % (1704648)Instruction limit reached!
% 19.15/3.11 % (1704648)------------------------------
% 19.15/3.11 % (1704648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/3.18 % (1704648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/3.18 % (1704648)CaDiCaL version: 2.1.3
% 19.71/3.18 % (1704648)Termination reason: Instruction limit
% 19.71/3.18 % (1704648)Termination phase: Saturation
% 19.71/3.18 % (1704648)Time elapsed: 0.274 s
% 19.71/3.18 % (1704648)Peak memory usage: 12 MB
% 19.71/3.18 % (1704648)Instructions burned: 387 (million)
% 19.71/3.18 % (1704650)Instruction limit reached!
% 19.71/3.18 % (1704650)------------------------------
% 19.71/3.18 % (1704650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/3.18 % (1704650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/3.18 % (1704650)CaDiCaL version: 2.1.3
% 19.71/3.18 % (1704650)Termination reason: Instruction limit
% 19.71/3.18 % (1704650)Termination phase: Saturation
% 19.71/3.18 % (1704650)Time elapsed: 0.213 s
% 19.71/3.18 % (1704650)Peak memory usage: 12 MB
% 19.71/3.18 % (1704650)Instructions burned: 301 (million)
% 19.71/3.18 % (1704658)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=2781479389:i=478:bd=all:rtra=on_2974 on theBenchmark for (2974ds/478Mi)
% 19.71/3.18 % (1704658)Refutation not found, incomplete strategy
% 19.71/3.18 % (1704658)------------------------------
% 19.71/3.18 % (1704658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/3.18 % (1704658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/3.18 % (1704658)CaDiCaL version: 2.1.3
% 19.71/3.18 % (1704658)Termination reason: Refutation not found, incomplete strategy
% 19.71/3.18 % (1704658)Time elapsed: 0.002 s
% 19.71/3.18 % (1704658)Peak memory usage: 12 MB
% 19.71/3.18 % (1704658)Instructions burned: 1 (million)
% 19.71/3.18 % (1704659)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=258625672:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2974 on theBenchmark for (2974ds/445Mi)
% 19.71/3.18 % (1704658)------------------------------
% 19.71/3.18 % (1704658)------------------------------
% 19.71/3.18 % (1704662)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2160750617:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2974 on theBenchmark for (2974ds/71Mi)
% 19.71/3.18 % (1704662)Instruction limit reached!
% 19.71/3.18 % (1704662)------------------------------
% 19.71/3.18 % (1704662)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/3.18 % (1704662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/3.18 % (1704662)CaDiCaL version: 2.1.3
% 19.71/3.18 % (1704662)Termination reason: Instruction limit
% 19.71/3.18 % (1704662)Termination phase: Saturation
% 19.71/3.18 % (1704662)Time elapsed: 0.066 s
% 19.71/3.18 % (1704662)Peak memory usage: 12 MB
% 19.71/3.18 % (1704662)Instructions burned: 71 (million)
% 19.71/3.18 % (1704643)Instruction limit reached!
% 19.71/3.18 % (1704643)------------------------------
% 19.71/3.18 % (1704643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/3.18 % (1704643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/3.18 % (1704643)CaDiCaL version: 2.1.3
% 19.71/3.18 % (1704643)Termination reason: Instruction limit
% 19.71/3.18 % (1704643)Termination phase: Saturation
% 19.71/3.18 % (1704643)Time elapsed: 0.453 s
% 19.71/3.18 % (1704643)Peak memory usage: 14 MB
% 19.71/3.18 % (1704643)Instructions burned: 765 (million)
% 19.71/3.18 % (1704664)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2588124344:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2973 on theBenchmark for (2973ds/302Mi)
% 19.71/3.18 % (1704664)Refutation not found, incomplete strategy
% 19.71/3.18 % (1704664)------------------------------
% 19.71/3.18 % (1704664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.71/3.18 % (1704664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.71/3.18 % (1704664)CaDiCaL version: 2.1.3
% 19.71/3.18 % (1704664)Termination reason: Refutation not found, incomplete strategy
% 19.71/3.18 % (1704664)Time elapsed: 0.001 s
% 19.71/3.18 % (1704664)Peak memory usage: 11 MB
% 19.71/3.18 % (1704664)------------------------------
% 19.71/3.18 % (1704664)------------------------------
% 19.71/3.18 % (1704665)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=306272525:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2973 on theBenchmark for (2973ds/4980Mi)
% 19.71/3.18 % (1704667)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
% 19.94/3.27 % (1704667)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 19.94/3.27 % (1704665)Refutation not found, incomplete strategy
% 19.94/3.27 % (1704665)------------------------------
% 19.94/3.27 % (1704665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.94/3.27 % (1704665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.94/3.27 % (1704665)CaDiCaL version: 2.1.3
% 19.94/3.27 % (1704665)Termination reason: Refutation not found, incomplete strategy
% 19.94/3.27 % (1704665)Time elapsed: 0.001 s
% 19.94/3.27 % (1704665)Peak memory usage: 11 MB
% 19.94/3.27 % (1704665)------------------------------
% 19.94/3.27 % (1704665)------------------------------
% 19.94/3.27 % (1704667)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3078721223:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2973 on theBenchmark for (2973ds/100Mi)
% 19.94/3.27 % (1704622)Instruction limit reached!
% 19.94/3.27 % (1704622)------------------------------
% 19.94/3.27 % (1704622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.94/3.27 % (1704622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.94/3.27 % (1704622)CaDiCaL version: 2.1.3
% 19.94/3.27 % (1704622)Termination reason: Instruction limit
% 19.94/3.27 % (1704622)Termination phase: Saturation
% 19.94/3.27 % (1704622)Time elapsed: 1.037 s
% 19.94/3.27 % (1704622)Peak memory usage: 16 MB
% 19.94/3.27 % (1704622)Instructions burned: 2471 (million)
% 19.94/3.27 % (1704656)Instruction limit reached!
% 19.94/3.27 % (1704656)------------------------------
% 19.94/3.27 % (1704656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.94/3.27 % (1704656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.94/3.27 % (1704656)CaDiCaL version: 2.1.3
% 19.94/3.27 % (1704656)Termination reason: Instruction limit
% 19.94/3.27 % (1704656)Termination phase: Saturation
% 19.94/3.27 % (1704656)Time elapsed: 0.303 s
% 19.94/3.27 % (1704656)Peak memory usage: 13 MB
% 19.94/3.27 % (1704656)Instructions burned: 429 (million)
% 19.94/3.27 % (1704669)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=4020869117:i=76:piset=equals:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/76Mi)
% 19.94/3.27 % (1704672)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=4171418262:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2972 on theBenchmark for (2972ds/493Mi)
% 19.94/3.27 % (1704671)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=2248116256:i=289:rtra=on_2972 on theBenchmark for (2972ds/289Mi)
% 19.94/3.27 % (1704671)Refutation not found, incomplete strategy
% 19.94/3.27 % (1704671)------------------------------
% 19.94/3.27 % (1704671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.94/3.27 % (1704671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.94/3.27 % (1704671)CaDiCaL version: 2.1.3
% 19.94/3.27 % (1704671)Termination reason: Refutation not found, incomplete strategy
% 19.94/3.27 % (1704671)Time elapsed: 0.002 s
% 19.94/3.27 % (1704671)Peak memory usage: 11 MB
% 19.94/3.27 % (1704671)Instructions burned: 1 (million)
% 19.94/3.27 % (1704671)------------------------------
% 19.94/3.27 % (1704671)------------------------------
% 19.94/3.27 % (1704676)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=1245178122:cond=on:i=34:hud=10:nm=10:rtra=on_2972 on theBenchmark for (2972ds/34Mi)
% 19.94/3.27 % (1704667)Instruction limit reached!
% 19.94/3.27 % (1704667)------------------------------
% 19.94/3.27 % (1704667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.94/3.27 % (1704667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.94/3.27 % (1704667)CaDiCaL version: 2.1.3
% 19.94/3.27 % (1704667)Termination reason: Instruction limit
% 19.94/3.27 % (1704667)Termination phase: Saturation
% 19.94/3.27 % (1704667)Time elapsed: 0.080 s
% 19.94/3.27 % (1704667)Peak memory usage: 12 MB
% 19.94/3.27 % (1704667)Instructions burned: 101 (million)
% 19.94/3.27 % (1704676)Instruction limit reached!
% 19.94/3.27 % (1704676)------------------------------
% 20.77/3.63 % (1704676)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.77/3.63 % (1704676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.77/3.63 % (1704676)CaDiCaL version: 2.1.3
% 20.77/3.63 % (1704676)Termination reason: Instruction limit
% 20.77/3.63 % (1704676)Termination phase: Saturation
% 20.77/3.63 % (1704676)Time elapsed: 0.020 s
% 20.77/3.63 % (1704676)Peak memory usage: 12 MB
% 20.77/3.63 % (1704676)Instructions burned: 36 (million)
% 20.77/3.63 % (1704669)Instruction limit reached!
% 20.77/3.63 % (1704669)------------------------------
% 20.77/3.63 % (1704669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.77/3.63 % (1704669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.77/3.63 % (1704669)CaDiCaL version: 2.1.3
% 20.77/3.63 % (1704669)Termination reason: Instruction limit
% 20.77/3.63 % (1704669)Termination phase: Saturation
% 20.77/3.63 % (1704669)Time elapsed: 0.062 s
% 20.77/3.63 % (1704669)Peak memory usage: 12 MB
% 20.77/3.63 % (1704669)Instructions burned: 77 (million)
% 20.77/3.63 % (1704678)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 20.77/3.63 % (1704679)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=1119076741:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2971 on theBenchmark for (2971ds/670Mi)
% 20.77/3.63 % (1704680)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3580174902:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2971 on theBenchmark for (2971ds/647Mi)
% 20.77/3.63 % (1704678)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=3761662242:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2971 on theBenchmark for (2971ds/372Mi)
% 20.77/3.63 % (1704680)Refutation not found, incomplete strategy
% 20.77/3.63 % (1704680)------------------------------
% 20.77/3.63 % (1704680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.77/3.63 % (1704680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.77/3.63 % (1704680)CaDiCaL version: 2.1.3
% 20.77/3.63 % (1704680)Termination reason: Refutation not found, incomplete strategy
% 20.77/3.63 % (1704680)Time elapsed: 0.001 s
% 20.77/3.63 % (1704680)Peak memory usage: 11 MB
% 20.77/3.63 % (1704680)------------------------------
% 20.77/3.63 % (1704680)------------------------------
% 20.77/3.63 % (1704678)Refutation not found, incomplete strategy
% 20.77/3.63 % (1704678)------------------------------
% 20.77/3.63 % (1704678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.77/3.63 % (1704678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.77/3.63 % (1704678)CaDiCaL version: 2.1.3
% 20.77/3.63 % (1704678)Termination reason: Refutation not found, incomplete strategy
% 20.77/3.63 % (1704678)Time elapsed: 0.003 s
% 20.77/3.63 % (1704678)Peak memory usage: 12 MB
% 20.77/3.63 % (1704678)Instructions burned: 2 (million)
% 20.77/3.63 % (1704678)------------------------------
% 20.77/3.63 % (1704678)------------------------------
% 20.77/3.63 % (1704606)Instruction limit reached!
% 20.77/3.63 % (1704606)------------------------------
% 20.77/3.63 % (1704606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.77/3.63 % (1704606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.77/3.63 % (1704606)CaDiCaL version: 2.1.3
% 20.77/3.63 % (1704606)Termination reason: Instruction limit
% 20.77/3.63 % (1704606)Termination phase: Saturation
% 20.77/3.63 % (1704606)Time elapsed: 1.374 s
% 20.77/3.63 % (1704606)Peak memory usage: 13 MB
% 20.77/3.63 % (1704606)Instructions burned: 2187 (million)
% 20.77/3.63 % (1704684)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=817008726:i=857:add=off:kws=frequency:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/857Mi)
% 20.77/3.63 % (1704685)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=965932246:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2971 on theBenchmark for (2971ds/693Mi)
% 20.77/3.63 % (1704659)Instruction limit reached!
% 20.77/3.63 % (1704659)------------------------------
% 20.77/3.63 % (1704659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.53/3.76 % (1704659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.53/3.76 % (1704659)CaDiCaL version: 2.1.3
% 22.53/3.76 % (1704659)Termination reason: Instruction limit
% 22.53/3.76 % (1704659)Termination phase: Saturation
% 22.53/3.76 % (1704659)Time elapsed: 0.309 s
% 22.53/3.76 % (1704659)Peak memory usage: 14 MB
% 22.53/3.76 % (1704659)Instructions burned: 445 (million)
% 22.53/3.76 % (1704687)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=702030511:i=285:hud=10:bd=all:rtra=on:ss=axioms_2971 on theBenchmark for (2971ds/285Mi)
% 22.53/3.76 % (1704687)Refutation not found, incomplete strategy
% 22.53/3.76 % (1704687)------------------------------
% 22.53/3.76 % (1704687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.53/3.76 % (1704687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.53/3.76 % (1704687)CaDiCaL version: 2.1.3
% 22.53/3.76 % (1704687)Termination reason: Refutation not found, incomplete strategy
% 22.53/3.76 % (1704687)Time elapsed: 0.002 s
% 22.53/3.76 % (1704687)Peak memory usage: 11 MB
% 22.53/3.76 % (1704687)Instructions burned: 1 (million)
% 22.53/3.76 % (1704687)------------------------------
% 22.53/3.76 % (1704687)------------------------------
% 22.53/3.76 % (1704689)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 22.53/3.76 % (1704689)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=2373523914:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2971 on theBenchmark for (2971ds/52Mi)
% 22.53/3.76 % (1704691)dis+10_1_si=on:random_seed=3267422214:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2971 on theBenchmark for (2971ds/407Mi)
% 22.53/3.76 % (1704691)Refutation not found, incomplete strategy
% 22.53/3.76 % (1704691)------------------------------
% 22.53/3.76 % (1704691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.53/3.76 % (1704691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.53/3.76 % (1704691)CaDiCaL version: 2.1.3
% 22.53/3.76 % (1704691)Termination reason: Refutation not found, incomplete strategy
% 22.53/3.76 % (1704691)Time elapsed: 0.001 s
% 22.53/3.76 % (1704691)Peak memory usage: 11 MB
% 22.53/3.76 % (1704691)------------------------------
% 22.53/3.76 % (1704691)------------------------------
% 22.53/3.76 % (1704689)Instruction limit reached!
% 22.53/3.76 % (1704689)------------------------------
% 22.53/3.76 % (1704689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.53/3.76 % (1704689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.53/3.76 % (1704689)CaDiCaL version: 2.1.3
% 22.53/3.76 % (1704689)Termination reason: Instruction limit
% 22.53/3.76 % (1704689)Termination phase: Saturation
% 22.53/3.76 % (1704689)Time elapsed: 0.035 s
% 22.53/3.76 % (1704689)Peak memory usage: 12 MB
% 22.53/3.76 % (1704689)Instructions burned: 53 (million)
% 22.53/3.76 % (1704694)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=728615278:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/2240Mi)
% 22.53/3.76 % (1704672)Instruction limit reached!
% 22.53/3.76 % (1704672)------------------------------
% 22.53/3.76 % (1704672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.53/3.76 % (1704672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.53/3.76 % (1704672)CaDiCaL version: 2.1.3
% 22.53/3.76 % (1704672)Termination reason: Instruction limit
% 22.53/3.76 % (1704672)Termination phase: Saturation
% 22.53/3.76 % (1704672)Time elapsed: 0.197 s
% 22.53/3.76 % (1704672)Peak memory usage: 13 MB
% 22.53/3.76 % (1704672)Instructions burned: 494 (million)
% 22.53/3.76 % (1704695)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=1899114026:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2970 on theBenchmark for (2970ds/336Mi)
% 22.53/3.76 % (1704697)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=1929143004:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2970 on theBenchmark for (2970ds/1142Mi)
% 22.53/3.76 % (1704695)Refutation not found, incomplete strategy
% 22.53/3.76 % (1704695)------------------------------
% 22.53/3.76 % (1704695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.53/3.76 % (1704695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/4.11 % (1704695)CaDiCaL version: 2.1.3
% 26.21/4.11 % (1704695)Termination reason: Refutation not found, incomplete strategy
% 26.21/4.11 % (1704695)Time elapsed: 0.001 s
% 26.21/4.11 % (1704695)Peak memory usage: 11 MB
% 26.21/4.11 % (1704695)------------------------------
% 26.21/4.11 % (1704695)------------------------------
% 26.21/4.11 % (1704700)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=3279712771:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2970 on theBenchmark for (2970ds/376Mi)
% 26.21/4.11 % (1704700)Refutation not found, incomplete strategy
% 26.21/4.11 % (1704700)------------------------------
% 26.21/4.11 % (1704700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.21/4.11 % (1704700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/4.11 % (1704700)CaDiCaL version: 2.1.3
% 26.21/4.11 % (1704700)Termination reason: Refutation not found, incomplete strategy
% 26.21/4.11 % (1704700)Time elapsed: 0.001 s
% 26.21/4.11 % (1704700)Peak memory usage: 11 MB
% 26.21/4.11 % (1704700)------------------------------
% 26.21/4.11 % (1704700)------------------------------
% 26.21/4.11 % (1704702)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=3688731425:i=766:bd=all:rtra=on_2969 on theBenchmark for (2969ds/766Mi)
% 26.21/4.11 % (1704702)Refutation not found, incomplete strategy
% 26.21/4.11 % (1704702)------------------------------
% 26.21/4.11 % (1704702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.21/4.11 % (1704702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/4.11 % (1704702)CaDiCaL version: 2.1.3
% 26.21/4.11 % (1704702)Termination reason: Refutation not found, incomplete strategy
% 26.21/4.11 % (1704702)Time elapsed: 0.001 s
% 26.21/4.11 % (1704702)Peak memory usage: 12 MB
% 26.21/4.11 % (1704702)Instructions burned: 1 (million)
% 26.21/4.11 % (1704702)------------------------------
% 26.21/4.11 % (1704702)------------------------------
% 26.21/4.11 % (1704704)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 26.21/4.11 % (1704704)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=1167242841: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)
% 26.21/4.11 % (1704704)Refutation not found, incomplete strategy
% 26.21/4.11 % (1704704)------------------------------
% 26.21/4.11 % (1704704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.21/4.11 % (1704704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/4.11 % (1704704)CaDiCaL version: 2.1.3
% 26.21/4.11 % (1704704)Termination reason: Refutation not found, incomplete strategy
% 26.21/4.11 % (1704704)Time elapsed: 0.001 s
% 26.21/4.11 % (1704704)Peak memory usage: 11 MB
% 26.21/4.11 % (1704704)------------------------------
% 26.21/4.11 % (1704704)------------------------------
% 26.21/4.11 % (1704706)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=75801075:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2969 on theBenchmark for (2969ds/6359Mi)
% 26.21/4.11 % (1704679)Instruction limit reached!
% 26.21/4.11 % (1704679)------------------------------
% 26.21/4.11 % (1704679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.21/4.11 % (1704679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/4.11 % (1704679)CaDiCaL version: 2.1.3
% 26.21/4.11 % (1704679)Termination reason: Instruction limit
% 26.21/4.11 % (1704679)Termination phase: Saturation
% 26.21/4.11 % (1704679)Time elapsed: 0.477 s
% 26.21/4.11 % (1704679)Peak memory usage: 12 MB
% 26.21/4.11 % (1704679)Instructions burned: 671 (million)
% 26.21/4.11 % (1704708)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=968450664:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2966 on theBenchmark for (2966ds/35Mi)
% 26.21/4.11 % (1704708)Refutation not found, incomplete strategy
% 26.21/4.11 % (1704708)------------------------------
% 26.21/4.11 % (1704708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.21/4.11 % (1704708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.21/4.11 % (1704708)CaDiCaL version: 2.1.3
% 26.21/4.11 % (1704708)Termination reason: Refutation not found, incomplete strategy
% 27.13/4.28 % (1704708)Time elapsed: 0.001 s
% 27.13/4.28 % (1704708)Peak memory usage: 11 MB
% 27.13/4.28 % (1704708)------------------------------
% 27.13/4.28 % (1704708)------------------------------
% 27.13/4.28 % (1704685)Instruction limit reached!
% 27.13/4.28 % (1704685)------------------------------
% 27.13/4.28 % (1704685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.13/4.28 % (1704685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.13/4.28 % (1704685)CaDiCaL version: 2.1.3
% 27.13/4.28 % (1704685)Termination reason: Instruction limit
% 27.13/4.28 % (1704685)Termination phase: Saturation
% 27.13/4.28 % (1704685)Time elapsed: 0.466 s
% 27.13/4.28 % (1704685)Peak memory usage: 12 MB
% 27.13/4.28 % (1704685)Instructions burned: 694 (million)
% 27.13/4.28 % (1704710)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3155636386:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2966 on theBenchmark for (2966ds/53Mi)
% 27.13/4.28 % (1704711)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=189626475:s2a=on:i=876:s2at=6:nm=2:rtra=on_2966 on theBenchmark for (2966ds/876Mi)
% 27.13/4.28 % (1704684)Instruction limit reached!
% 27.13/4.28 % (1704684)------------------------------
% 27.13/4.28 % (1704684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.13/4.28 % (1704684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.13/4.28 % (1704684)CaDiCaL version: 2.1.3
% 27.13/4.28 % (1704684)Termination reason: Instruction limit
% 27.13/4.28 % (1704684)Termination phase: Saturation
% 27.13/4.28 % (1704684)Time elapsed: 0.530 s
% 27.13/4.28 % (1704684)Peak memory usage: 12 MB
% 27.13/4.28 % (1704684)Instructions burned: 858 (million)
% 27.13/4.28 % (1704710)Instruction limit reached!
% 27.13/4.28 % (1704710)------------------------------
% 27.13/4.28 % (1704710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.13/4.28 % (1704710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.13/4.28 % (1704710)CaDiCaL version: 2.1.3
% 27.13/4.28 % (1704710)Termination reason: Instruction limit
% 27.13/4.28 % (1704710)Termination phase: Saturation
% 27.13/4.28 % (1704710)Time elapsed: 0.034 s
% 27.13/4.28 % (1704710)Peak memory usage: 12 MB
% 27.13/4.28 % (1704710)Instructions burned: 53 (million)
% 27.13/4.28 % (1704714)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4283323830:i=57:ep=R:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/57Mi)
% 27.13/4.28 % (1704715)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 27.13/4.28 % (1704715)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3986914848:i=306:bd=all:rtra=on_2966 on theBenchmark for (2966ds/306Mi)
% 27.13/4.28 % (1704715)Refutation not found, incomplete strategy
% 27.13/4.28 % (1704715)------------------------------
% 27.13/4.28 % (1704715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.13/4.28 % (1704715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.13/4.28 % (1704715)CaDiCaL version: 2.1.3
% 27.13/4.28 % (1704715)Termination reason: Refutation not found, incomplete strategy
% 27.13/4.28 % (1704715)Time elapsed: 0.002 s
% 27.13/4.28 % (1704715)Peak memory usage: 12 MB
% 27.13/4.28 % (1704715)Instructions burned: 1 (million)
% 27.13/4.28 % (1704715)------------------------------
% 27.13/4.28 % (1704715)------------------------------
% 27.13/4.28 % (1704714)Instruction limit reached!
% 27.13/4.28 % (1704714)------------------------------
% 27.13/4.28 % (1704714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.13/4.28 % (1704714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.13/4.28 % (1704714)CaDiCaL version: 2.1.3
% 27.13/4.28 % (1704714)Termination reason: Instruction limit
% 27.13/4.28 % (1704714)Termination phase: Saturation
% 27.13/4.28 % (1704714)Time elapsed: 0.029 s
% 27.13/4.28 % (1704714)Peak memory usage: 12 MB
% 27.13/4.28 % (1704714)Instructions burned: 57 (million)
% 27.13/4.28 % (1704719)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 27.13/4.28 % (1704719)ott+1002_16_sil=128000:si=on:random_seed=161049924:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2965 on theBenchmark for (2965ds/409Mi)
% 27.13/4.28 % (1704718)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=3637652392:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/262Mi)
% 27.75/4.40 % (1704718)Refutation not found, incomplete strategy
% 27.75/4.40 % (1704718)------------------------------
% 27.75/4.40 % (1704718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.75/4.40 % (1704718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.75/4.40 % (1704718)CaDiCaL version: 2.1.3
% 27.75/4.40 % (1704718)Termination reason: Refutation not found, incomplete strategy
% 27.75/4.40 % (1704718)Time elapsed: 0.001 s
% 27.75/4.40 % (1704718)Peak memory usage: 12 MB
% 27.75/4.40 % (1704718)------------------------------
% 27.75/4.40 % (1704718)------------------------------
% 27.75/4.40 % (1704722)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=3157652030:s2a=on:i=381:rtra=on_2965 on theBenchmark for (2965ds/381Mi)
% 27.75/4.40 % (1704719)Instruction limit reached!
% 27.75/4.40 % (1704719)------------------------------
% 27.75/4.40 % (1704719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.75/4.40 % (1704719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.75/4.40 % (1704719)CaDiCaL version: 2.1.3
% 27.75/4.40 % (1704719)Termination reason: Instruction limit
% 27.75/4.40 % (1704719)Termination phase: Saturation
% 27.75/4.40 % (1704719)Time elapsed: 0.228 s
% 27.75/4.40 % (1704719)Peak memory usage: 13 MB
% 27.75/4.40 % (1704719)Instructions burned: 409 (million)
% 27.75/4.40 % (1704724)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1726031773:cond=on:i=324:rtra=on:ntd=on_2963 on theBenchmark for (2963ds/324Mi)
% 27.75/4.40 % (1704697)Instruction limit reached!
% 27.75/4.40 % (1704697)------------------------------
% 27.75/4.40 % (1704697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.75/4.40 % (1704697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.75/4.40 % (1704697)CaDiCaL version: 2.1.3
% 27.75/4.40 % (1704697)Termination reason: Instruction limit
% 27.75/4.40 % (1704697)Termination phase: Saturation
% 27.75/4.40 % (1704697)Time elapsed: 0.788 s
% 27.75/4.40 % (1704697)Peak memory usage: 14 MB
% 27.75/4.40 % (1704697)Instructions burned: 1143 (million)
% 27.75/4.40 % (1704726)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=2223040377:i=240:kws=inv_precedence:rtra=on_2962 on theBenchmark for (2962ds/240Mi)
% 27.75/4.40 % (1704726)Refutation not found, incomplete strategy
% 27.75/4.40 % (1704726)------------------------------
% 27.75/4.40 % (1704726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.75/4.40 % (1704726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.75/4.40 % (1704726)CaDiCaL version: 2.1.3
% 27.75/4.40 % (1704726)Termination reason: Refutation not found, incomplete strategy
% 27.75/4.40 % (1704726)Time elapsed: 0.001 s
% 27.75/4.40 % (1704726)Peak memory usage: 12 MB
% 27.75/4.40 % (1704726)Instructions burned: 1 (million)
% 27.75/4.40 % (1704726)------------------------------
% 27.75/4.40 % (1704726)------------------------------
% 27.75/4.40 % (1704722)Instruction limit reached!
% 27.75/4.40 % (1704722)------------------------------
% 27.75/4.40 % (1704722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.75/4.40 % (1704722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.75/4.40 % (1704722)CaDiCaL version: 2.1.3
% 27.75/4.40 % (1704722)Termination reason: Instruction limit
% 27.75/4.40 % (1704722)Termination phase: Saturation
% 27.75/4.40 % (1704722)Time elapsed: 0.299 s
% 27.75/4.40 % (1704722)Peak memory usage: 12 MB
% 27.75/4.40 % (1704722)Instructions burned: 381 (million)
% 27.75/4.40 % (1704728)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 27.75/4.40 % (1704728)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4144177761:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2962 on theBenchmark for (2962ds/124Mi)
% 27.75/4.40 % (1704694)Instruction limit reached!
% 27.75/4.40 % (1704694)------------------------------
% 27.75/4.40 % (1704694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.75/4.40 % (1704694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.75/4.40 % (1704694)CaDiCaL version: 2.1.3
% 27.75/4.40 % (1704694)Termination reason: Instruction limit
% 27.75/4.40 % (1704694)Termination phase: Saturation
% 27.75/4.40 % (1704694)Time elapsed: 0.857 s
% 27.75/4.40 % (1704694)Peak memory usage: 17 MB
% 28.92/4.58 % (1704694)Instructions burned: 2241 (million)
% 28.92/4.58 % (1704729)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=1277575406:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2962 on theBenchmark for (2962ds/223Mi)
% 28.92/4.58 % (1704731)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=916855986:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2961 on theBenchmark for (2961ds/282Mi)
% 28.92/4.58 % (1704728)Instruction limit reached!
% 28.92/4.58 % (1704728)------------------------------
% 28.92/4.58 % (1704728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.92/4.58 % (1704728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.92/4.58 % (1704728)CaDiCaL version: 2.1.3
% 28.92/4.58 % (1704728)Termination reason: Instruction limit
% 28.92/4.58 % (1704728)Termination phase: Saturation
% 28.92/4.58 % (1704728)Time elapsed: 0.051 s
% 28.92/4.58 % (1704728)Peak memory usage: 12 MB
% 28.92/4.58 % (1704728)Instructions burned: 125 (million)
% 28.92/4.58 % (1704734)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=882531793:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2961 on theBenchmark for (2961ds/464Mi)
% 28.92/4.58 % (1704734)Refutation not found, incomplete strategy
% 28.92/4.58 % (1704734)------------------------------
% 28.92/4.58 % (1704734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.92/4.58 % (1704734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.92/4.58 % (1704734)CaDiCaL version: 2.1.3
% 28.92/4.58 % (1704734)Termination reason: Refutation not found, incomplete strategy
% 28.92/4.58 % (1704734)Time elapsed: 0.001 s
% 28.92/4.58 % (1704734)Peak memory usage: 11 MB
% 28.92/4.58 % (1704734)Instructions burned: 1 (million)
% 28.92/4.58 % (1704734)------------------------------
% 28.92/4.58 % (1704734)------------------------------
% 28.92/4.58 % (1704736)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=1291431183:i=88:s2at=3:nm=2:rtra=on:rawr=on_2961 on theBenchmark for (2961ds/88Mi)
% 28.92/4.58 % (1704736)Instruction limit reached!
% 28.92/4.58 % (1704736)------------------------------
% 28.92/4.58 % (1704736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.92/4.58 % (1704736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.92/4.58 % (1704736)CaDiCaL version: 2.1.3
% 28.92/4.58 % (1704736)Termination reason: Instruction limit
% 28.92/4.58 % (1704736)Termination phase: Saturation
% 28.92/4.58 % (1704736)Time elapsed: 0.038 s
% 28.92/4.58 % (1704736)Peak memory usage: 13 MB
% 28.92/4.58 % (1704736)Instructions burned: 88 (million)
% 28.92/4.58 % (1704738)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1130987596:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2960 on theBenchmark for (2960ds/280Mi)
% 28.92/4.58 % (1704724)Instruction limit reached!
% 28.92/4.58 % (1704724)------------------------------
% 28.92/4.58 % (1704724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.92/4.58 % (1704724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.92/4.58 % (1704724)CaDiCaL version: 2.1.3
% 28.92/4.58 % (1704724)Termination reason: Instruction limit
% 28.92/4.58 % (1704724)Termination phase: Saturation
% 28.92/4.58 % (1704724)Time elapsed: 0.235 s
% 28.92/4.58 % (1704724)Peak memory usage: 12 MB
% 28.92/4.58 % (1704724)Instructions burned: 324 (million)
% 28.92/4.58 % (1704729)Instruction limit reached!
% 28.92/4.58 % (1704729)------------------------------
% 28.92/4.58 % (1704729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.92/4.58 % (1704729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.92/4.58 % (1704729)CaDiCaL version: 2.1.3
% 28.92/4.58 % (1704729)Termination reason: Instruction limit
% 28.92/4.58 % (1704729)Termination phase: Saturation
% 28.92/4.58 % (1704729)Time elapsed: 0.136 s
% 28.92/4.58 % (1704729)Peak memory usage: 13 MB
% 28.92/4.58 % (1704729)Instructions burned: 224 (million)
% 28.92/4.58 % (1704740)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 28.92/4.58 % (1704741)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 28.92/4.58 % (1704741)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 28.92/4.58 % (1704740)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3132380136:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2960 on theBenchmark for (2960ds/4386Mi)
% 33.12/5.03 % (1704741)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=1412061684: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)
% 33.12/5.03 % (1704741)Refutation not found, incomplete strategy
% 33.12/5.03 % (1704741)------------------------------
% 33.12/5.03 % (1704741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.12/5.03 % (1704741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.12/5.03 % (1704741)CaDiCaL version: 2.1.3
% 33.12/5.03 % (1704741)Termination reason: Refutation not found, incomplete strategy
% 33.12/5.03 % (1704741)Time elapsed: 0.001 s
% 33.12/5.03 % (1704741)Peak memory usage: 12 MB
% 33.12/5.03 % (1704741)------------------------------
% 33.12/5.03 % (1704741)------------------------------
% 33.12/5.03 % (1704744)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1190507682:i=73:rtra=on_2960 on theBenchmark for (2960ds/73Mi)
% 33.12/5.03 % (1704744)Refutation not found, incomplete strategy
% 33.12/5.03 % (1704744)------------------------------
% 33.12/5.03 % (1704744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.12/5.03 % (1704744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.12/5.03 % (1704744)CaDiCaL version: 2.1.3
% 33.12/5.03 % (1704744)Termination reason: Refutation not found, incomplete strategy
% 33.12/5.03 % (1704744)Time elapsed: 0.001 s
% 33.12/5.03 % (1704744)Peak memory usage: 12 MB
% 33.12/5.03 % (1704744)Instructions burned: 1 (million)
% 33.12/5.03 % (1704744)------------------------------
% 33.12/5.03 % (1704744)------------------------------
% 33.12/5.03 % (1704746)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=4088373168: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)
% 33.12/5.03 % (1704711)Instruction limit reached!
% 33.12/5.03 % (1704711)------------------------------
% 33.12/5.03 % (1704711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.12/5.03 % (1704711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.12/5.03 % (1704711)CaDiCaL version: 2.1.3
% 33.12/5.03 % (1704711)Termination reason: Instruction limit
% 33.12/5.03 % (1704711)Termination phase: Saturation
% 33.12/5.03 % (1704711)Time elapsed: 0.666 s
% 33.12/5.03 % (1704711)Peak memory usage: 13 MB
% 33.12/5.03 % (1704711)Instructions burned: 876 (million)
% 33.12/5.03 % (1704731)Instruction limit reached!
% 33.12/5.03 % (1704731)------------------------------
% 33.12/5.03 % (1704731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.12/5.03 % (1704731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.12/5.03 % (1704731)CaDiCaL version: 2.1.3
% 33.12/5.03 % (1704731)Termination reason: Instruction limit
% 33.12/5.03 % (1704731)Termination phase: Saturation
% 33.12/5.03 % (1704731)Time elapsed: 0.214 s
% 33.12/5.03 % (1704731)Peak memory usage: 13 MB
% 33.12/5.03 % (1704731)Instructions burned: 282 (million)
% 33.12/5.03 % (1704748)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 33.12/5.03 % (1704748)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=2422659289:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2959 on theBenchmark for (2959ds/39Mi)
% 33.12/5.03 % (1704738)Instruction limit reached!
% 33.12/5.03 % (1704738)------------------------------
% 33.12/5.03 % (1704738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.12/5.03 % (1704738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.12/5.03 % (1704738)CaDiCaL version: 2.1.3
% 33.12/5.03 % (1704738)Termination reason: Instruction limit
% 33.12/5.03 % (1704738)Termination phase: Saturation
% 33.12/5.03 % (1704738)Time elapsed: 0.128 s
% 33.12/5.03 % (1704738)Peak memory usage: 13 MB
% 33.12/5.03 % (1704738)Instructions burned: 282 (million)
% 33.12/5.03 % (1704749)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2044427769:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2959 on theBenchmark for (2959ds/708Mi)
% 33.12/5.03 % (1704751)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
% 33.88/5.14 % (1704751)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=1442918163:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2959 on theBenchmark for (2959ds/252Mi)
% 33.88/5.14 % (1704748)Instruction limit reached!
% 33.88/5.14 % (1704748)------------------------------
% 33.88/5.14 % (1704748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.88/5.14 % (1704748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.88/5.14 % (1704748)CaDiCaL version: 2.1.3
% 33.88/5.14 % (1704748)Termination reason: Instruction limit
% 33.88/5.14 % (1704748)Termination phase: Saturation
% 33.88/5.14 % (1704748)Time elapsed: 0.034 s
% 33.88/5.14 % (1704748)Peak memory usage: 12 MB
% 33.88/5.14 % (1704748)Instructions burned: 40 (million)
% 33.88/5.14 % (1704746)Instruction limit reached!
% 33.88/5.14 % (1704746)------------------------------
% 33.88/5.14 % (1704746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.88/5.14 % (1704746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.88/5.14 % (1704746)CaDiCaL version: 2.1.3
% 33.88/5.14 % (1704746)Termination reason: Instruction limit
% 33.88/5.14 % (1704746)Termination phase: Saturation
% 33.88/5.14 % (1704746)Time elapsed: 0.085 s
% 33.88/5.14 % (1704746)Peak memory usage: 13 MB
% 33.88/5.14 % (1704746)Instructions burned: 176 (million)
% 33.88/5.14 % (1704755)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 33.88/5.14 % (1704755)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=2920306661:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2958 on theBenchmark for (2958ds/16202Mi)
% 33.88/5.14 % (1704754)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=1064951898:i=823:fsr=off:rtra=on_2958 on theBenchmark for (2958ds/823Mi)
% 33.88/5.14 % (1704755)Refutation not found, incomplete strategy
% 33.88/5.14 % (1704755)------------------------------
% 33.88/5.14 % (1704755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.88/5.14 % (1704755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.88/5.14 % (1704755)CaDiCaL version: 2.1.3
% 33.88/5.14 % (1704755)Termination reason: Refutation not found, incomplete strategy
% 33.88/5.14 % (1704755)Time elapsed: 0.001 s
% 33.88/5.14 % (1704755)Peak memory usage: 11 MB
% 33.88/5.14 % (1704755)Instructions burned: 1 (million)
% 33.88/5.14 % (1704755)------------------------------
% 33.88/5.14 % (1704755)------------------------------
% 33.88/5.14 % (1704758)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=3404962640:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2958 on theBenchmark for (2958ds/300Mi)
% 33.88/5.14 % (1704751)Instruction limit reached!
% 33.88/5.14 % (1704751)------------------------------
% 33.88/5.14 % (1704751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.88/5.14 % (1704751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.88/5.14 % (1704751)CaDiCaL version: 2.1.3
% 33.88/5.14 % (1704751)Termination reason: Instruction limit
% 33.88/5.14 % (1704751)Termination phase: Saturation
% 33.88/5.14 % (1704751)Time elapsed: 0.089 s
% 33.88/5.14 % (1704751)Peak memory usage: 12 MB
% 33.88/5.14 % (1704751)Instructions burned: 254 (million)
% 33.88/5.14 % (1704760)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 33.88/5.14 % (1704760)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 33.88/5.14 % (1704760)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=2577396402:i=177:add=on:bd=preordered:rtra=on:rawr=on_2958 on theBenchmark for (2958ds/177Mi)
% 33.88/5.14 % (1704758)Instruction limit reached!
% 33.88/5.14 % (1704758)------------------------------
% 33.88/5.14 % (1704758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.88/5.14 % (1704758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.88/5.14 % (1704758)CaDiCaL version: 2.1.3
% 33.88/5.14 % (1704758)Termination reason: Instruction limit
% 33.88/5.14 % (1704758)Termination phase: Saturation
% 34.24/5.26 % (1704758)Time elapsed: 0.122 s
% 34.24/5.26 % (1704758)Peak memory usage: 12 MB
% 34.24/5.26 % (1704758)Instructions burned: 300 (million)
% 34.24/5.26 % (1704762)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=405479144:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2957 on theBenchmark for (2957ds/715Mi)
% 34.24/5.26 % (1704762)Refutation not found, incomplete strategy
% 34.24/5.26 % (1704762)------------------------------
% 34.24/5.26 % (1704762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.24/5.26 % (1704762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.24/5.26 % (1704762)CaDiCaL version: 2.1.3
% 34.24/5.26 % (1704762)Termination reason: Refutation not found, incomplete strategy
% 34.24/5.26 % (1704762)Time elapsed: 0.001 s
% 34.24/5.26 % (1704762)Peak memory usage: 11 MB
% 34.24/5.26 % (1704762)Instructions burned: 2 (million)
% 34.24/5.26 % (1704762)------------------------------
% 34.24/5.26 % (1704762)------------------------------
% 34.24/5.26 % (1704764)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 34.24/5.26 % (1704764)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 34.24/5.26 % (1704764)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=1991515756:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2956 on theBenchmark for (2956ds/230Mi)
% 34.24/5.26 % (1704764)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 34.24/5.26 % (1704760)Instruction limit reached!
% 34.24/5.26 % (1704760)------------------------------
% 34.24/5.26 % (1704760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.24/5.26 % (1704760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.24/5.26 % (1704760)CaDiCaL version: 2.1.3
% 34.24/5.26 % (1704760)Termination reason: Instruction limit
% 34.24/5.26 % (1704760)Termination phase: Saturation
% 34.24/5.26 % (1704760)Time elapsed: 0.144 s
% 34.24/5.26 % (1704760)Peak memory usage: 12 MB
% 34.24/5.26 % (1704760)Instructions burned: 177 (million)
% 34.24/5.26 % (1704766)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1115972365:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2956 on theBenchmark for (2956ds/606Mi)
% 34.24/5.26 % (1704764)Instruction limit reached!
% 34.24/5.26 % (1704764)------------------------------
% 34.24/5.26 % (1704764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.24/5.26 % (1704764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.24/5.26 % (1704764)CaDiCaL version: 2.1.3
% 34.24/5.26 % (1704764)Termination reason: Instruction limit
% 34.24/5.26 % (1704764)Termination phase: Saturation
% 34.24/5.26 % (1704764)Time elapsed: 0.095 s
% 34.24/5.26 % (1704764)Peak memory usage: 12 MB
% 34.24/5.26 % (1704764)Instructions burned: 232 (million)
% 34.24/5.26 % (1704768)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 34.24/5.26 % (1704768)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=3584114924:lrd=on:i=841:nm=0:rtra=on_2955 on theBenchmark for (2955ds/841Mi)
% 34.24/5.26 % (1704749)Instruction limit reached!
% 34.24/5.26 % (1704749)------------------------------
% 34.24/5.26 % (1704749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.24/5.26 % (1704749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.24/5.26 % (1704749)CaDiCaL version: 2.1.3
% 34.24/5.26 % (1704749)Termination reason: Instruction limit
% 34.24/5.26 % (1704749)Termination phase: Saturation
% 34.24/5.26 % (1704749)Time elapsed: 0.430 s
% 34.24/5.26 % (1704749)Peak memory usage: 14 MB
% 34.24/5.26 % (1704749)Instructions burned: 709 (million)
% 34.24/5.26 % (1704770)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4104177122:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2954 on theBenchmark for (2954ds/445Mi)
% 34.24/5.26 % (1704754)Instruction limit reached!
% 34.24/5.26 % (1704754)------------------------------
% 34.24/5.26 % (1704754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.24/5.26 % (1704754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.24/5.26 % (1704754)CaDiCaL version: 2.1.3
% 34.66/5.36 % (1704754)Termination reason: Instruction limit
% 34.66/5.36 % (1704754)Termination phase: Saturation
% 34.66/5.36 % (1704754)Time elapsed: 0.597 s
% 34.66/5.36 % (1704754)Peak memory usage: 13 MB
% 34.66/5.36 % (1704754)Instructions burned: 823 (million)
% 34.66/5.36 % (1704770)Instruction limit reached!
% 34.66/5.36 % (1704770)------------------------------
% 34.66/5.36 % (1704770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.66/5.36 % (1704770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.66/5.36 % (1704770)CaDiCaL version: 2.1.3
% 34.66/5.36 % (1704770)Termination reason: Instruction limit
% 34.66/5.36 % (1704770)Termination phase: Saturation
% 34.66/5.36 % (1704770)Time elapsed: 0.210 s
% 34.66/5.36 % (1704770)Peak memory usage: 14 MB
% 34.66/5.36 % (1704770)Instructions burned: 447 (million)
% 34.66/5.36 % (1704772)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2992634653:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2952 on theBenchmark for (2952ds/71Mi)
% 34.66/5.36 % (1704773)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
% 34.66/5.36 % (1704773)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 34.66/5.36 % (1704773)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2598595016:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2952 on theBenchmark for (2952ds/100Mi)
% 34.66/5.36 % (1704772)Instruction limit reached!
% 34.66/5.36 % (1704772)------------------------------
% 34.66/5.36 % (1704772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.66/5.36 % (1704772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.66/5.36 % (1704772)CaDiCaL version: 2.1.3
% 34.66/5.36 % (1704772)Termination reason: Instruction limit
% 34.66/5.36 % (1704772)Termination phase: Saturation
% 34.66/5.36 % (1704772)Time elapsed: 0.036 s
% 34.66/5.36 % (1704772)Peak memory usage: 12 MB
% 34.66/5.36 % (1704772)Instructions burned: 72 (million)
% 34.66/5.36 % (1704776)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 34.66/5.36 % (1704776)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=2314327513:i=1352:add=on:aac=none:rtra=on_2952 on theBenchmark for (2952ds/1352Mi)
% 34.66/5.36 % (1704776)Refutation not found, incomplete strategy
% 34.66/5.36 % (1704776)------------------------------
% 34.66/5.36 % (1704776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.66/5.36 % (1704776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.66/5.36 % (1704776)CaDiCaL version: 2.1.3
% 34.66/5.36 % (1704776)Termination reason: Refutation not found, incomplete strategy
% 34.66/5.36 % (1704776)Time elapsed: 0.002 s
% 34.66/5.36 % (1704776)Peak memory usage: 12 MB
% 34.66/5.36 % (1704776)Instructions burned: 2 (million)
% 34.66/5.36 % (1704776)------------------------------
% 34.66/5.36 % (1704776)------------------------------
% 34.66/5.36 % (1704773)Instruction limit reached!
% 34.66/5.36 % (1704773)------------------------------
% 34.66/5.36 % (1704773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.66/5.36 % (1704773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.66/5.36 % (1704773)CaDiCaL version: 2.1.3
% 34.66/5.36 % (1704773)Termination reason: Instruction limit
% 34.66/5.36 % (1704773)Termination phase: Saturation
% 34.66/5.36 % (1704773)Time elapsed: 0.048 s
% 34.66/5.36 % (1704773)Peak memory usage: 12 MB
% 34.66/5.36 % (1704773)Instructions burned: 101 (million)
% 34.66/5.36 % (1704778)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=1831787940:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2951 on theBenchmark for (2951ds/646Mi)
% 34.66/5.36 % (1704779)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=1761442733:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2951 on theBenchmark for (2951ds/1924Mi)
% 34.66/5.36 % (1704779)Refutation not found, incomplete strategy
% 34.66/5.36 % (1704779)------------------------------
% 34.66/5.36 % (1704779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.31/5.45 % (1704779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.45 % (1704779)CaDiCaL version: 2.1.3
% 35.31/5.45 % (1704779)Termination reason: Refutation not found, incomplete strategy
% 35.31/5.45 % (1704779)Time elapsed: 0.001 s
% 35.31/5.45 % (1704779)Peak memory usage: 11 MB
% 35.31/5.45 % (1704779)------------------------------
% 35.31/5.45 % (1704779)------------------------------
% 35.31/5.45 % (1704766)Instruction limit reached!
% 35.31/5.45 % (1704766)------------------------------
% 35.31/5.45 % (1704766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.31/5.45 % (1704766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.45 % (1704766)CaDiCaL version: 2.1.3
% 35.31/5.45 % (1704766)Termination reason: Instruction limit
% 35.31/5.45 % (1704766)Termination phase: Saturation
% 35.31/5.45 % (1704766)Time elapsed: 0.474 s
% 35.31/5.45 % (1704766)Peak memory usage: 13 MB
% 35.31/5.45 % (1704766)Instructions burned: 607 (million)
% 35.31/5.45 % (1704782)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1101193944:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2951 on theBenchmark for (2951ds/984Mi)
% 35.31/5.45 % (1704782)Refutation not found, incomplete strategy
% 35.31/5.45 % (1704782)------------------------------
% 35.31/5.45 % (1704782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.31/5.45 % (1704782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.45 % (1704782)CaDiCaL version: 2.1.3
% 35.31/5.45 % (1704782)Termination reason: Refutation not found, incomplete strategy
% 35.31/5.45 % (1704782)Time elapsed: 0.001 s
% 35.31/5.45 % (1704782)Peak memory usage: 12 MB
% 35.31/5.45 % (1704782)Instructions burned: 1 (million)
% 35.31/5.45 % (1704782)------------------------------
% 35.31/5.45 % (1704782)------------------------------
% 35.31/5.45 % (1704785)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=2705566438:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2951 on theBenchmark for (2951ds/872Mi)
% 35.31/5.45 % (1704785)Refutation not found, incomplete strategy
% 35.31/5.45 % (1704785)------------------------------
% 35.31/5.45 % (1704785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.31/5.45 % (1704785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.45 % (1704785)CaDiCaL version: 2.1.3
% 35.31/5.45 % (1704785)Termination reason: Refutation not found, incomplete strategy
% 35.31/5.45 % (1704785)Time elapsed: 0.001 s
% 35.31/5.45 % (1704785)Peak memory usage: 11 MB
% 35.31/5.45 % (1704785)------------------------------
% 35.31/5.45 % (1704785)------------------------------
% 35.31/5.45 % (1704783)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=2515166429:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2951 on theBenchmark for (2951ds/592Mi)
% 35.31/5.45 % (1704787)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 35.31/5.45 % (1704787)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=1710506667:i=999:add=on:rtra=on_2951 on theBenchmark for (2951ds/999Mi)
% 35.31/5.45 % (1704768)Instruction limit reached!
% 35.31/5.45 % (1704768)------------------------------
% 35.31/5.45 % (1704768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.31/5.45 % (1704768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.45 % (1704768)CaDiCaL version: 2.1.3
% 35.31/5.45 % (1704768)Termination reason: Instruction limit
% 35.31/5.45 % (1704768)Termination phase: Saturation
% 35.31/5.45 % (1704768)Time elapsed: 0.502 s
% 35.31/5.45 % (1704768)Peak memory usage: 14 MB
% 35.31/5.45 % (1704768)Instructions burned: 841 (million)
% 35.31/5.45 % (1704790)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 35.31/5.45 % (1704790)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=2246974005:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2950 on theBenchmark for (2950ds/244Mi)
% 35.31/5.45 % (1704790)Refutation not found, incomplete strategy
% 35.31/5.45 % (1704790)------------------------------
% 35.31/5.45 % (1704790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.31/5.45 % (1704790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.45 % (1704790)CaDiCaL version: 2.1.3
% 35.31/5.45 % (1704790)Termination reason: Refutation not found, incomplete strategy
% 35.31/5.45 % (1704790)Time elapsed: 0.002 s
% 35.31/5.45 % (1704790)Peak memory usage: 12 MB
% 35.31/5.45 % (1704790)Instructions burned: 2 (million)
% 35.31/5.45 % (1704790)------------------------------
% 35.31/5.45 % (1704790)------------------------------
% 35.31/5.45 % (1704792)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=2739664907:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2950 on theBenchmark for (2950ds/113Mi)
% 35.31/5.45 % (1704792)Refutation not found, incomplete strategy
% 35.31/5.45 % (1704792)------------------------------
% 35.31/5.45 % (1704792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.31/5.45 % (1704792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.45 % (1704792)CaDiCaL version: 2.1.3
% 35.31/5.45 % (1704792)Termination reason: Refutation not found, incomplete strategy
% 35.31/5.45 % (1704792)Time elapsed: 0.001 s
% 35.31/5.45 % (1704792)Peak memory usage: 12 MB
% 35.31/5.45 % (1704792)Instructions burned: 1 (million)
% 35.31/5.45 % (1704792)------------------------------
% 35.31/5.45 % (1704792)------------------------------
% 35.31/5.45 % (1704794)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=643632977:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2950 on theBenchmark for (2950ds/7795Mi)
% 35.31/5.45 % (1704794)Refutation not found, incomplete strategy
% 35.31/5.45 % (1704794)------------------------------
% 35.31/5.45 % (1704794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.31/5.45 % (1704794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.45 % (1704794)CaDiCaL version: 2.1.3
% 35.31/5.45 % (1704794)Termination reason: Refutation not found, incomplete strategy
% 35.31/5.45 % (1704794)Time elapsed: 0.001 s
% 35.31/5.45 % (1704794)Peak memory usage: 11 MB
% 35.31/5.45 % (1704794)------------------------------
% 35.31/5.45 % (1704794)------------------------------
% 35.31/5.45 % (1704796)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2036797090:st=2:i=5026:sd=1:rtra=on:ss=axioms_2949 on theBenchmark for (2949ds/5026Mi)
% 35.31/5.45 % (1704796)Refutation not found, incomplete strategy
% 35.31/5.45 % (1704796)------------------------------
% 35.31/5.45 % (1704796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.31/5.45 % (1704796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.45 % (1704796)CaDiCaL version: 2.1.3
% 35.31/5.45 % (1704796)Termination reason: Refutation not found, incomplete strategy
% 35.31/5.45 % (1704796)Time elapsed: 0.0000 s
% 35.31/5.45 % (1704796)Peak memory usage: 11 MB
% 35.31/5.45 % (1704796)------------------------------
% 35.31/5.45 % (1704796)------------------------------
% 35.31/5.45 % (1704778)Instruction limit reached!
% 35.31/5.45 % (1704778)------------------------------
% 35.31/5.45 % (1704778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.31/5.45 % (1704778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.45 % (1704778)CaDiCaL version: 2.1.3
% 35.31/5.45 % (1704778)Termination reason: Instruction limit
% 35.31/5.45 % (1704778)Termination phase: Saturation
% 35.31/5.45 % (1704778)Time elapsed: 0.204 s
% 35.31/5.45 % (1704778)Peak memory usage: 14 MB
% 35.31/5.45 % (1704778)Instructions burned: 649 (million)
% 35.31/5.45 % (1704706) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1704385-1704706"...
% 35.31/5.45 % (1704799)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=684882333:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2949 on theBenchmark for (2949ds/1144Mi)
% 35.31/5.45 % (1704799)Refutation not found, incomplete strategy
% 35.31/5.45 % (1704799)------------------------------
% 35.31/5.45 % (1704799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.31/5.45 % (1704799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.45 % (1704799)CaDiCaL version: 2.1.3
% 35.31/5.45 % (1704799)Termination reason: Refutation not found, incomplete strategy
% 35.31/5.45 % (1704799)Time elapsed: 0.0000 s
% 35.31/5.45 % (1704799)Peak memory usage: 11 MB
% 35.31/5.45 % (1704799)------------------------------
% 35.31/5.45 % (1704799)------------------------------
% 35.31/5.45 % (1704798)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 35.31/5.45 % (1704798)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=4105288996:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2949 on theBenchmark for (2949ds/763Mi)
% 35.31/5.45 % (1704798)Refutation not found, incomplete strategy
% 35.31/5.45 % (1704798)------------------------------
% 35.31/5.45 % (1704798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.31/5.45 % (1704798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.45 % (1704798)CaDiCaL version: 2.1.3
% 35.31/5.45 % (1704798)Termination reason: Refutation not found, incomplete strategy
% 35.31/5.45 % (1704798)Time elapsed: 0.002 s
% 35.31/5.45 % (1704798)Peak memory usage: 11 MB
% 35.31/5.45 % (1704798)Instructions burned: 1 (million)
% 35.31/5.45 % (1704798)------------------------------
% 35.31/5.45 % (1704798)------------------------------
% 35.31/5.45 % (1704801)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 35.31/5.45 % (1704801)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=2950265241:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2949 on theBenchmark for (2949ds/52Mi)
% 35.31/5.45 % (1704803)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=489743850:i=1724:fsr=off:rtra=on:fe=abstraction_2949 on theBenchmark for (2949ds/1724Mi)
% 35.31/5.45 % (1704801)Instruction limit reached!
% 35.31/5.45 % (1704801)------------------------------
% 35.31/5.45 % (1704801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.31/5.45 % (1704801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.45 % (1704801)CaDiCaL version: 2.1.3
% 35.31/5.45 % (1704801)Termination reason: Instruction limit
% 35.31/5.45 % (1704801)Termination phase: Saturation
% 35.31/5.45 % (1704801)Time elapsed: 0.020 s
% 35.31/5.45 % (1704801)Peak memory usage: 12 MB
% 35.31/5.45 % (1704801)Instructions burned: 53 (million)
% 35.31/5.45 % (1704806)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=629855590:i=439:add=on:slsql=off:rtra=on:ntd=on_2949 on theBenchmark for (2949ds/439Mi)
% 35.31/5.45 % (1704706)...printing done.
% 35.31/5.45 % (1704706)Refutation found. Thanks to Tanya!
% 35.31/5.45 % SZS status Unsatisfiable for theBenchmark
% 35.31/5.45 % SZS output start Proof for theBenchmark
% See solution above
% 35.31/5.48 % (1704706)------------------------------
% 35.31/5.48 % (1704706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.31/5.48 % (1704706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.31/5.48 % (1704706)CaDiCaL version: 2.1.3
% 35.31/5.48 % (1704706)Termination reason: Refutation
% 35.31/5.48 % (1704706)Time elapsed: 2.061 s
% 35.31/5.48 % (1704706)Peak memory usage: 17 MB
% 35.31/5.48 % (1704706)Instructions burned: 2473 (million)
% 35.31/5.48 % (1704385)Success in time 5.158 s
% 35.31/5.48 % Vampire exiting
%------------------------------------------------------------------------------